http://206.189.178.169:3001/?freshness=All&show=1&q=Outgoing-Vs-Incoming-In-Discrete-Math-Examples+INR+loc%3Ain Outgoing Vs Incoming In Discrete Math Examples - Discover Fashion Products | Styleberry

Outgoing Vs Incoming In Discrete Math Examples

119 results discovered for Outgoing Vs Incoming In Discrete Math Examples. Refine by style, occasion, or category to find more relevant fashion products.

Debug Information

Array
(
    [meilisearch] => Array
        (
            [url] => https://msin.fadunews.in/indexes/zipri/search
            [http_code] => 200
            [response] => {"hits":[],"query":"Outgoing-Vs-Incoming-In-Discrete-Math-Examples","processingTimeMs":0,"limit":3,"offset":0,"estimatedTotalHits":0}
            [curl_error] => 
            [parsed] => Array
                (
                    [hits] => Array
                        (
                        )

                    [query] => Outgoing-Vs-Incoming-In-Discrete-Math-Examples
                    [processingTimeMs] => 0
                    [limit] => 3
                    [offset] => 0
                    [estimatedTotalHits] => 0
                )

        )

    [image_search] => Array
        (
            [url] => http://206.189.178.169:3001/?freshness=All&show=1&q=Outgoing-Vs-Incoming-In-Discrete-Math-Examples+INR+loc%3Ain
            [http_code] => 200
            [response] => {"name":"outgoing-vs-incoming-in-discrete-math-examples inr loc:in","totalEstimatedMatches":81,"nextOffset":81,"currentOffset":0,"value":{"E553AA0E46564DF833C885EE59BCEA16F086CB01":{"name":"Recurrence Relations - Combinatorics - Discrete Mathematics","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.aLQ8eOcqAsENvD7XaRs79AHaIJ?r=0&pid=Api","datePublished":"2023-09-23T10:40:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/n0kbTMg.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/recurrence-relations-50651/","contentSize":"58034 B","width":563,"height":619,"cDNContentUrl":"https://th.bing.com/th/id/R.68b43c78e72a02c10dbc3ed7691b3bf4?rik=XjWq4GRl1I8zjA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"10BC680F61AECB95EE588C338FD46564E0AA355E","accentColor":"60656B"},"00262309D544B750B9B603C2970028D4DD072B20":{"name":"Permutation and Combinations - Combinatorics - Discrete Mathematics","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.dD-j3IEaFGD85Yu8zwdBpwAAAA?r=0&pid=Api","datePublished":"2023-09-21T21:33:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/FbQFMgB.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/permutation-and-combinations-50650/","contentSize":"34062 B","width":432,"height":418,"cDNContentUrl":"https://th.bing.com/th/id/R.743fa3dc811a1460fce58bbccf0741a7?rik=AGIykF1EewWbaw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"02B270DD4D8200792C306B9B057B445D90326200","accentColor":"61666A"},"5CEAE6732090977B0DCB4EC9E32D8A71B889586A":{"name":"Generating Functions - Combinatorics - Discrete Mathematics","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.m1exME1KxJCgk6p86OFdWAHaGJ?r=0&pid=Api","datePublished":"2023-09-23T19:47:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/bCRpoHD.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/generating-functions-50653/","contentSize":"43774 B","width":524,"height":435,"cDNContentUrl":"https://th.bing.com/th/id/R.9b57b1304d4ac490a093aa7ce8e15d58?rik=xa5uNwIJebfQvA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A685988B17A8D23E9CE4BCD0B7790902376EAEC5","accentColor":"5F676C"},"552DEEFB2FAC25DAF9C119E6D94644161F588547":{"name":"Rules of Inference - Logic and Proofs - Discrete Mathematics","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.Pi0C4qvyMWqOO6ee236O8gHaKk?r=0&pid=Api","datePublished":"2023-09-21T10:26:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/lx5AUfB.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/rules-of-inference-50642/","contentSize":"106534 B","width":567,"height":809,"cDNContentUrl":"https://th.bing.com/th/id/R.3e2d02e2abf2316a8e3ba79edb7e8ef2?rik=VdLuv%2fLKUq2fHA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"745885F16144649D6E911C9FAD52CAF2BFEED255","accentColor":"5A6671"},"01404003326ED8022507405247BD78C8621BCCFA":{"name":"Predicates and Quantifiers - Logic and Proofs - Discrete Mathematics","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.0zWLVTA7ttzGgAqnI5hjkwHaFB?r=0&pid=Api","datePublished":"2023-09-23T20:21:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/JTrQoPJ.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/predicates-and-quantifiers-50639/","contentSize":"57340 B","width":568,"height":385,"cDNContentUrl":"https://th.bing.com/th/id/R.d3358b55303bb6dcc6800aa723986393?rik=EAQEMCPmjSBScA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"AFCCB1268C87DB7425047052208DE62330040410","accentColor":"5F636C"},"4E9498C306C8E151AA5E56521299829FA22F1CCD":{"name":"Groups - Algebraic Structures - Discrete Mathematics","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.AiiNdS-p8UWkHJGUla-VQAHaIM?r=0&pid=Api","datePublished":"2023-09-18T21:40:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/RwvDZOu.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/groups-50664/","contentSize":"84035 B","width":577,"height":639,"cDNContentUrl":"https://th.bing.com/th/id/R.02288d752fa9f145a41c919495af9540?rik=5EmJPGCMHhWq5Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DCC1F22AF92899212565E5AA151E8C603C8949E4","accentColor":"556676"},"9DAEE6962BD898FCAC16CF9455F6ADB4A1E259BA":{"name":"Reflexive, Symmetric, Transitive, Equivalence & Number of Relations | AESL","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.mp0TUpRR2R6qz2J2_5XWGwAAAA?r=0&pid=Api","datePublished":"2022-10-12T11:21:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/1_58.jpg?0sqVwY9sn4Zj_BV09YQzLN3xcuMqomRV","hostPageUrl":"https://www.aakash.ac.in/important-concepts/maths/reflexive-symmetric-transitive-equivalence-relation","contentSize":"35566 B","width":322,"height":312,"cDNContentUrl":"https://th.bing.com/th/id/R.9a9d13529451d91eaacf6276ff95d61b?rik=2epuabKNic%2fKYQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"AB952E1A4BDA6F5549FC61CACF898DB2696EEAD9","accentColor":"0E8CBD"},"13E6059BD7B9E28F1EB113C081267DD32BC61C28":{"name":"UNIT 02 - Notes - 18MAB302T: Discrete Mathematics for Engineers Unit ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.Rn9UveLjHbnSNBzczEEeKgHaJl?r=0&pid=Api","datePublished":"2023-11-25T23:31:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/c3a3d6039e919f2cd2f758aba50a8fb3/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/srm-institute-of-science-and-technology/discrete-mathematics/unit-02-notes/77613345","contentSize":"84513 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.467f54bde2e31db9d2341cdccc411e2a?rik=MW5QuX2bLvjhGw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"82C16CB23DD762180C311BE1F82E9B7DB9506E31","accentColor":"464646"},"204B49B73739C23490996A9232F6A960ED960C48":{"name":"Types of Variables - Describing Data | Data Science","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.fwYalzheA1lQsPGK8v_B8gHaE8?r=0&pid=Api","datePublished":"2023-09-02T17:49:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/vKzypEO.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/types-of-variables-50589/","contentSize":"72697 B","width":609,"height":407,"cDNContentUrl":"https://th.bing.com/th/id/R.7f061a97385e035950b0f18af2ffc1f2?rik=ArSUe3OTLEMJmQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"84C069DE069A6F2329A69909432C93737B94B402","accentColor":"5C666F"},"E89F2AA0A442DEA43A0268BF3C5EF52B00154BB0":{"name":"Discrete and Combinatorial Mathematics , 5e – BookStation","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.-OaVml4IYyRqpktZsmeXgwHaJQ?r=0&pid=Api","datePublished":"2024-02-10T20:20:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://bookstation.in/cdn/shop/files/discrete-and-combinatorial-mathematics-an-applied-introduction-original-imafhdy7etzuktzf.jpg?v=1707304618","hostPageUrl":"https://bookstation.in/products/9789353433055","contentSize":"65809 B","width":666,"height":832,"cDNContentUrl":"https://th.bing.com/th/id/R.f8e6959a5e0863246aa64b59b2679783?rik=jvmiCkok7UqjIA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"0BB45100B25FE5C3FB8620A34AED244A0AA2F98E","accentColor":"0991B5"},"8843BC361F0F708100F576A8E9EFBCF23FBBFAED":{"name":"Definitions and Examples of Rings and Fields - Algebraic Structures ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.Hzi855KSNqHMDv1Fv-uMdwHaFM?r=0&pid=Api","datePublished":"2023-09-14T15:48:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images51/o7S4qLU.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/","contentSize":"54801 B","width":584,"height":410,"cDNContentUrl":"https://th.bing.com/th/id/R.1f38bce7929236a1cc0efd45bfeb8c77?rik=iDTLY%2fHwBxgAXw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DEAFBBF32FCBFE9E8A675F001807F0F163CB3488","accentColor":"5C6F6F"},"419441003C477458D53F851CAAF85F4460F747B6":{"name":"Module 4 previous question s - Discrete Mathematical Structures - Studocu","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.bJD-1YE1HEHL6O0cJExWzgHaKe?r=0&pid=Api","datePublished":"2023-01-13T19:37:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/680560fdc2a72d091f185ba56ace6a4d/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/university-college-of-engineering/discrete-mathematical-structures/module-4-previous-question-s/43781422","contentSize":"622450 B","width":1200,"height":1698,"cDNContentUrl":"https://th.bing.com/th/id/R.6c90fed581351c41cbe8ed1c244c56ce?rik=FEkUAMN0R4Vd8w&pid=ImgRaw&r=0","isTransparent":false,"imageId":"6B747F0644F58FAAC158F35D854774C300144914","accentColor":"8F3C3F"},"0F2F669C9F541B954C0BF61CD0062B6DB5410C9F":{"name":"Discrete random variable vs continuous random variable - Brainly.in","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.OEQJgh2myZHIGy70EK8WCgHaEB?r=0&pid=Api","datePublished":"2018-02-18T19:54:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://hi-static.z-dn.net/files/d80/7dd8298ecc3040c7a1fa83877ab19524.jpg","hostPageUrl":"https://brainly.in/question/2639594","contentSize":"55621 B","width":720,"height":391,"cDNContentUrl":"https://th.bing.com/th/id/R.384409821da6c991c81b2ef410af160a?rik=8PJmyflFsVnEsA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F9C0145BD6B2600DC16FB0C459B145F9C966F2F0","accentColor":"C4A107"},"68C5E4AD966DF5C4199DFE81E345C45AE597B8D3":{"name":"Classification of Signals and Systems - Signal, Elementary Signals","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.6iIdv0Q8bxFsixTzFdbBWgHaEB?r=0&pid=Api","datePublished":"2024-04-10T22:56:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/imgPori/images21/9htnCcX.png","hostPageUrl":"https://ece.poriyaan.in/topic/classification-of-signals-and-systems-20341/","contentSize":"464409 B","width":752,"height":408,"cDNContentUrl":"https://th.bing.com/th/id/R.ea221dbf443c6f116c8b14f315d6c15a?rik=hlxO2mnWX0yR2Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3D8B795EA54C543E18EFD9914C5FD669DA4E5C86","accentColor":"4D4642"},"A9E6CF3CA842EDF5646C79F47FC1CF4F9206F9B3":{"name":"PDF Scan 28-08-2023 7 - Fundamentals Of Discrete Mathematics - Studocu","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.kEyGUdFMHs_HnBD9Ekmz9QAAAA?r=0&pid=Api","datePublished":"2023-10-03T14:03:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b773d6b4128eaf4f13c8bfff832cc265/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/sanjay-ghodawat-university/fundamentals-of-discrete-mathematics/pdf-scan-28-08-2023-7/71273289","contentSize":"814228 B","width":474,"height":670,"cDNContentUrl":"https://th.bing.com/th/id/R.904c8651d14c1ecfc79c10fd1249b3f5?rik=mm78w4ok3l9Gxg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3B9F6029F4FC1CF74F97C6465FDE248AC3FC6E9A","accentColor":"525960"},"D2775B7D542AEC80BE30E2469A0FD6668ECAFC26":{"name":"Introductory Discrete Mathematics (Dover Books on Computer Science ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.4e3Ydtcf9HNfqNudUHp1aAHaKY?r=0&pid=Api","datePublished":"2012-04-30T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/819hcg8BY8L._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Introductory-Discrete-Mathematics-Computer-Science-ebook/dp/B00EZDHVA0","contentSize":"95562 B","width":1070,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.e1edd876d71ff4735fa8db9d507a7568?rik=LXe110WizgjrAw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"62CFACE8666DF0A9642E03EB08CEA245D7B5772D","accentColor":"CB0068"},"23BC3BC3FCFCF4AFD2496334C60E713D4261FD5F":{"name":"Discuss The Difference Between a Discrete & A Continuous Probability ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.vlEdD6_4rrPLYq6uMd-epgHaD4?r=0&pid=Api","datePublished":"2023-07-01T02:11:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://fairgaze.com/images/UploadedImages/thumbs/0298444_0298444_xec.png","hostPageUrl":"https://fairgaze.com/generalnews/discuss-the-difference-between-a-discrete-a-continuous-probability-distribution.html","contentSize":"21950 B","width":600,"height":314,"cDNContentUrl":"https://th.bing.com/th/id/R.be511d0faff8aeb3cb62aeae31df9ea6?rik=MsuzPM%2fPT%2fotlA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F5DF1624D317E06C4336942DFA4FCFCF3CB3CB32","accentColor":"262626"},"5AB3101EFFFA6BDC1571EB836B353A4E300AE829":{"name":"DISCRETE MATHEMATICS AND ITS APPLICATIONS, 8TH EDITION : ROSEN, KENNETH ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.6d3BztuY1jhbntB2nddhewHaKB?r=0&pid=Api","datePublished":"2021-08-01T16:07:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/81Vgo2Om+ML._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/DISCRETE-MATHEMATICS-ITS-APPLICATIONS-8TH/dp/9390727359","contentSize":"139385 B","width":1109,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.e9ddc1cedb98d6385b9ed0769dd7617b?rik=pTsB4f%2bvts1RFw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"928EA003E4A353B638BE1751CDB6AFFFE1013BA5","accentColor":"C20910"},"85173E519815027CB060FD0ACEE7B53ACC2C416F":{"name":"U1-PCNF and PDNF - PCNF and PDNF - 1 Discrete Mathematics p q p r p q p ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.7kUtNoRosBBVP2mv8nVJlQHaLc?r=0&pid=Api","datePublished":"2022-11-29T19:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/7ac58ed1d45111b69174cb47b6d5e2ce/thumb_1200_1855.png","hostPageUrl":"https://www.studocu.com/in/document/rajiv-gandhi-proudyogiki-vishwavidyalaya/discrete-structure/u1-pcnf-and-pdnf-pcnf-and-pdnf/38918923","contentSize":"152736 B","width":1200,"height":1855,"cDNContentUrl":"https://th.bing.com/th/id/R.ee452d368468b010553f69aff2754995?rik=WHHjFYlRIMcLBg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F614C2CCA35B7EECA0DF060BC720518915E37158","accentColor":"424242"},"3575B3DA9F1F61C59DDE51ADBBB3D0D58080D087":{"name":"Discrete Mathematics","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.OokBNVvg86tV6DemF_pxhgHaJs?r=0&pid=Api","datePublished":"2019-06-17T20:33:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.vikaspublishing.com/uploads/bookimages/vikas-books/9788125913627.jpg","hostPageUrl":"https://www.vikaspublishing.com/books/engineering/core-engineering/discrete-mathematics/9788125913627/","contentSize":"1116610 B","width":2177,"height":2850,"cDNContentUrl":"https://th.bing.com/th/id/R.3a8901355be0f3ab55e837a617fa7186?rik=U1c7rfnxFlzZ7Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"780D08085D0D3BBBDA15EDD95C16F1F9AD3B5753","accentColor":"A5A026"},"08D753ECF03A67602A4C1DCF5D35818A1DD42ECC":{"name":"Complement of Graph - Notes - Complement of Graph in Discrete ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.NZAK7MVqK1WMVm3PY9AY-AHaJl?r=0&pid=Api","datePublished":"2023-02-14T19:07:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b20f4dd2157570352b3f58a1d8daa24d/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/complement-of-graph-notes/47175846","contentSize":"208395 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.35900aecc56a2b558c566dcf63d018f8?rik=gH01zg%2bjdgaixA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"CCE24DD1A81853D5FCD1C4A20676A30FCE357D80","accentColor":"142139"},"E084AA839DFEA68BE44E0250299665ED06D2679B":{"name":"Discrete Mathematics With Graph Theroy And Combinatorics | By T ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.FEShhEZ8b5FKsjsiNlWj7wHaHa?r=0&pid=Api","datePublished":"2023-06-15T10:48:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9g-sWswizPddGZ5oDtKUVquDbxYUfX_gS2hfV1fRqCzkNnuBdRMtpxcGI1fYpjnY5smSr1iwTgOtkhNvUEyFV1Qeu4JfghoMuz0R7XRYHRTMEEFcWsIg-s5xZJ3piZ2INr6sq-aMYHjJclI6lc5qH5sbOgZ5F2zRFYxuOkgl9X-tI2o6t0s5AHB5x992l/w1200-h630-p-k-no-nu/349.jpg","hostPageUrl":"https://shop.exam360.in/2023/06/discrete-mathematics-with-graph-theroy.html","contentSize":"57487 B","width":555,"height":555,"cDNContentUrl":"https://th.bing.com/th/id/R.1444a184467c6f914ab23b223655a3ef?rik=DkiqONnvarhO5A&pid=ImgRaw&r=0","isTransparent":false,"imageId":"B9762D60DE5669920520E44EB86AEFD938AA480E","accentColor":"C7A404"},"3C7FC3CED0D5A0B545DAA14BDB5052841A2E7091":{"name":"DM Notes-1 - Handwritten notes - Discrete mathematics - Studocu","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.PjqfEPNJI7_EEbFWD2KpZQHaKe?r=0&pid=Api","datePublished":"2023-06-29T17:44:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/10fdb19b8cf3fd8e3e6383be122d3134/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/pcte-group-of-institutes/discrete-mathematics/dm-notes-1-handwritten-notes/55281662","contentSize":"750344 B","width":1200,"height":1698,"cDNContentUrl":"https://th.bing.com/th/id/R.3e3a9f10f34923bfc411b1560f62a965?rik=w%2fc87A1dCltUrQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"1907E2A1482505BDB41AAD545B0A5D0DEC3CF7C3","accentColor":"7A5161"},"BC9EFCD681B242406D3100B9A33B27622CD42516":{"name":"KS2 Discrete and Continuous Data Display Poster","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.CgN0dCA4RtSIuS8lIMzivAHaDt?r=0&pid=Api","datePublished":"2020-07-19T12:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/85/7c/t2-m-17204-ks2-discrete-and-continuous-data-display-poster-english_ver_3.jpg","hostPageUrl":"https://www.twinkl.co.in/resource/t2-m-17204-ks2-discrete-and-continuous-data-display-poster","contentSize":"40007 B","width":630,"height":315,"cDNContentUrl":"https://th.bing.com/th/id/R.0a037474203846d488b92f2520cce2bc?rik=y%2bnPbRgrJATWEw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"61524DC22672B33A9B0013D604242B186DCFE9CB","accentColor":"00943D"},"E472DCB85352FB28F4DE77371613A3A3FBB5123F":{"name":"Hamiltonian Graph, Nodes and height - Hamiltonian Graph in Discrete ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.J18UleMIEoYp_ZSmL6cJuQHaJl?r=0&pid=Api","datePublished":"2023-02-08T20:34:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/27c7fc5a8a497052ca32052687e0d087/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/hamiltonian-graph-nodes-and-height/46271142","contentSize":"260882 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.275f1495e308128629fd94a62fa709b9?rik=TifNizUlv4JP7Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F3215BBF3A3A31617377ED4F82BF25358BCD274E","accentColor":"654B17"},"4D45059442E896EB02CFFA1572619D728C51B0EE":{"name":"Buy A Text Book of Discrete Mathematics Book Online at Low Prices in ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.Tz0E1SAhl23idC3zbVdQSQHaKS?r=0&pid=Api","datePublished":"2005-06-01T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/61H0eB23grL._SL1400_.jpg","hostPageUrl":"https://www.amazon.in/Text-Book-Discrete-Mathematics/dp/8121922321","contentSize":"112622 B","width":1007,"height":1400,"cDNContentUrl":"https://th.bing.com/th/id/R.4f3d04d52021976de2742df36d575049?rik=1FRQSSSOab4g%2fA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"EE0B15C827D9162751AFFC20BE698E24495054D4","accentColor":"0879C3"},"44D4065DE48D15BF77236BDDDF3B6B1176D630D4":{"name":"Discrete Mathematics - combinatorics - Structure 3 Introduction ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.B64OR7wYRfORNpdwadvGswHaKe?r=0&pid=Api","datePublished":"2022-09-15T06:11:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/771914997bd7acc34c018e4477ddf3c5/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/sikkim-manipal-university/discrete-mathematics/discrete-mathematics-combinatorics/33329706","contentSize":"325719 B","width":1200,"height":1698,"cDNContentUrl":"https://th.bing.com/th/id/R.07ae0e47bc1845f39136977069dbc6b3?rik=RE1g1U7YUft3Mg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"4D036D6711B6B3FDDDB63277FB51D84ED5604D44","accentColor":"424247"},"52973F44FCA4E5EA4918FF3105F54FBCA9DB5D7A":{"name":"PDNF and PCNF - Notes - PDNF and PCNF in Discrete Mathematics To ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.vIIHP-aNtZ90AYWiypg47QHaJl?r=0&pid=Api","datePublished":"2023-03-17T18:21:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/9cc51e8a13904b770178c5a3e19eb11e/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/pdnf-and-pcnf-notes/48482191","contentSize":"141411 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.bc82073fe68db59f740185a2ca9838ed?rik=JXnzRM9KXq6UgQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A7D5BD9ACBF45F5013FF8194AE5E4ACF44F37925","accentColor":"2D2D2D"},"B7C542D4450FC2CFBFAA76A8E9EFBCF23FBBFAED":{"name":"Definitions and Examples of Rings and Fields - Algebraic Structures ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.fwpUX7fqppP0vN3wyI-VVQAAAA?r=0&pid=Api","datePublished":"2023-09-14T15:48:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/cata/size/img-Discr-Qp.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/","contentSize":"262402 B","width":474,"height":266,"cDNContentUrl":"https://th.bing.com/th/id/R.7f0a545fb7eaa693f4bcddf0c88f9555?rik=e1wkTVTwLPz7qg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DEAFBBF32FCBFE9E8A67AAFBFC2CF0544D245C7B","accentColor":"1A9BB1"},"41C822A18C5C87859F8F11C2C63E32A20733C336":{"name":"Discrete Mathematics (Schaum's Outlines) | Revised 3rd Edition ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP._TUvhfbtsSxzBdHCXwbipwHaKC?r=0&pid=Api","datePublished":"2017-05-19T19:14:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/71kohGylsyL._SL1100_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Schaums-Outlines-SIE/dp/1259062538","contentSize":"149797 B","width":812,"height":1100,"cDNContentUrl":"https://th.bing.com/th/id/R.fd352f85f6edb12c7305d1c25f06e2a7?rik=FIwiGsjFeFj5%2bA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"633C33702A23E36C2C11F8F95878C5C81A228C14","accentColor":"C27109"},"88974EB1F06C583A46270F90E9AEE24236583F80":{"name":"Discrete Mathematics Summary Course","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.Fy5wPC2L2qx01V0iVtoDsgHaE8?r=0&pid=Api","datePublished":"2025-12-06T10:47:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d502jbuhuh9wk.cloudfront.net/courses/625613d10cf2ad8d82475130/625613d10cf2ad8d82475130_scaled_cover.jpg?v=2","hostPageUrl":"https://www.goclasses.in/s/store/package/625da6630cf2daf7eb3a35af/courses/Discrete-Mathematics-Summary-GATE_PYQs-Practice-Course","contentSize":"57674 B","width":600,"height":400,"cDNContentUrl":"https://th.bing.com/th/id/R.172e703c2d8bdaac74d55d2256da03b2?rik=iHnkGw%2fGhaNkcg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"08F38563242EEA9E09F07264A385C60F1BE47988","accentColor":"C06C0B"},"F01D6AF5FDFD59934824D4C191C018F7EECF7DB9":{"name":"Buy Discrete Mathematics Book Online at Low Prices in India | Discrete ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.8jdizNVY4ABAyyzDUMnB7gAAAA?r=0&pid=Api","datePublished":"2015-05-31T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/51V9BKD4sEL._SX342_SY445_ML2_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Quick-Study-Academic/dp/1423224884","contentSize":"29847 B","width":342,"height":442,"cDNContentUrl":"https://th.bing.com/th/id/R.f23762ccd558e00040cb2cc350c9c1ee?rik=D9GmX9%2fflTmEQg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"9BD7FCEE7F810C191C4D42843995DFDF5FA6D10F","accentColor":"A1552A"},"29B993CEBBD923663CC78631A11926830137453B":{"name":"Discrete Mathematics","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.ongW42_fhzOe1eg32wh8GAHaE8?r=0&pid=Api","datePublished":"2023-02-25T16:04:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d502jbuhuh9wk.cloudfront.net/courses/63f9aa9be4b0a8a370cfb0ad/63f9aa9be4b0a8a370cfb0ad_scaled_cover.jpg?v=12","hostPageUrl":"https://www.goclasses.in/courses/63f9aa9be4b0a8a370cfb0ad","contentSize":"24578 B","width":600,"height":400,"cDNContentUrl":"https://th.bing.com/th/id/R.a27816e36fdf87339ed5e837db087c18?rik=kps57LudMmbDfA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"B35473103862911A13687CC366329DBBEC399B92","accentColor":"BD9F0E"},"1DE625591C4AEA795FB165AECCCFDBBC2A311E71":{"name":"Discrete Math Structures 6e International Edition India | Ubuy","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.h0IptLRyzUsuQqc8m4hz4AAAAA?r=0&pid=Api","datePublished":"2025-06-14T12:23:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images-cdn.ubuy.co.in/669e81c422829f7b9810e7fb-discrete-mathematical-structures-by.jpg","hostPageUrl":"https://www.ubuy.co.in/product/46YLZLV2G-discrete-mathematical-structures-6e-int-039-l-edition","contentSize":"31431 B","width":381,"height":500,"cDNContentUrl":"https://th.bing.com/th/id/R.874229b4b472cd4b2e42a73c9b8873e0?rik=0W5SlcGkrpf1Gw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"17E113A2CBBDFCCCEA561BF597AEA4C195526ED1","accentColor":"033066"},"0046C9A60B4437D5DE815DBDBF44433C11F187A6":{"name":"Inbound vs Outbound Call Centres: Differences","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.bL8PQ9zoLjN-XbSh30b5hAHaGF?r=0&pid=Api","datePublished":"2023-08-14T07:53:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://cdn.prod.website-files.com/61b6d36e8f52d840c65c7d07/66af22bc02c3453fc6a14790_64cf9522a4c3594f6d9b34cf_Diffrences%2520Betweeen%2520Inbound%2520and%2520Outbound%2520call%2520centers.jpeg","hostPageUrl":"https://www.squadstack.ai/blog/inbound-vs-outbound-call-centres-differences","contentSize":"877537 B","width":2487,"height":2042,"cDNContentUrl":"https://th.bing.com/th/id/R.6cbf0f43dce82e337e5db4a1df46f984?rik=AGScarBEc13tGA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"6A781F11C33444FBDBD518ED5D7344B06A9C6400","accentColor":"2773A4"},"F25281E19E6D68441C40982CC024C4D169CBCD35":{"name":"Draw a diagram to explain the heat budget of the earth. - Brainly.in","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.3hrq5G9-QDNSUYJbkS65TwHaGT?r=0&pid=Api","datePublished":"2021-09-01T17:37:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://hi-static.z-dn.net/files/d9e/e6f91c8b06a36ebf61892bf3f9bde0b2.jpg","hostPageUrl":"https://brainly.in/question/13321347","contentSize":"132891 B","width":1080,"height":920,"cDNContentUrl":"https://th.bing.com/th/id/R.de1aeae46f7e40335251825b912eb94f?rik=LyUYHunWhkTBBA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"53DCBC961D4C420CC28904C14486D6E91E18252F","accentColor":"06659C"},"77358A0E66597000F5246690E790A607E36E926F":{"name":"Buy Discrete Mathematics by Example Book Online at Low Prices in India ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.oy0Z_mxzB1PYFnybMFJRnQAAAA?r=0&pid=Api","datePublished":"2025-06-30T15:27:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/4145tSWwR0L._SY445_SX342_ML2_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Example-Andrew-Simpson/dp/0077098404","contentSize":"20365 B","width":342,"height":445,"cDNContentUrl":"https://th.bing.com/th/id/R.a32d19fe6c730753d8167c9b3052519d?rik=d1Oo4GaVBwBfQg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F629E63E706A097E0966425F00079566E0A85377","accentColor":"110466"},"80817686040AF42B1DA7B32A92E984AC48CB422C":{"name":"What separates discrete manufacturing from process manufacturing?","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.Hn0gi7cQNzbo1dW1bmWANAHaEK?r=0&pid=Api","datePublished":"2025-03-03T04:47:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://www.leapingfrogconsulting.com/uploads/editorimages/product%20manufacturing.png","hostPageUrl":"http://www.leapingfrogconsulting.com/blog/what-separates-discrete-manufacturing-from-process-manufacturing","contentSize":"224947 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.1e7d208bb7103736e8d5d5b56e658034?rik=CBhnaECgT7LReg&riu=http%3a%2f%2fwww.leapingfrogconsulting.com%2fuploads%2feditorimages%2fproduct+manufacturing.png&ehk=NiL4h%2bhvdBLAYk9Xvvww3lZTXDcJh%2bodX%2bfx2UnPX%2b0%3d&risl=&pid=ImgRaw&r=0","isTransparent":false,"imageId":"C224BC84CA489E29A23B7AD1B24FA04068671808","accentColor":"CB9100"},"9082C0C6BD3296F602EB76A8E9EFBCF23FBBFAED":{"name":"Definitions and Examples of Rings and Fields - Algebraic Structures ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.stKR_xpGXjWRu9-2z2X6zQHaEK?r=0&pid=Api","datePublished":"2023-09-14T15:48:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.poriyaan.in/media/design/icon2.jpg","hostPageUrl":"https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/","contentSize":"31102 B","width":800,"height":450,"cDNContentUrl":"https://th.bing.com/th/id/R.b2d291ff1a465e3591bbdfb6cf65facd?rik=CSgMbNsjaW8gvg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DEAFBBF32FCBFE9E8A67BE206F6923DB6C0C2809","accentColor":"91B912"},"26D7F29DD6FA5708CA860D4F350FC652D5AB8D5B":{"name":"Set Theory & Algebra: set theory","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.rhFc4uaDygxxbkQQjBmdpwHaDg?r=0&pid=Api","datePublished":"2019-05-12T03:05:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://gateoverflow.in/?qa=blob&qa_blobid=18191037133881223458","hostPageUrl":"https://gateoverflow.in/122274/set-theory","contentSize":"27288 B","width":600,"height":284,"cDNContentUrl":"https://th.bing.com/th/id/R.ae115ce2e683ca0c716e44108c199da7?rik=Yn0v2W2vdYCsaA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"B5D8BA5D256CF053F4D068AC8075AF6DD92F7D62","accentColor":"4C5E6D"},"48DD117263FAD872BD63C1CB5D34CC14B7E280F8":{"name":"DST- Modelpaper-2 - Maths question bank - Bangalore University I ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.Lm8ltsToFFZ7mozldQrbMAHaJl?r=0&pid=Api","datePublished":"2022-06-14T02:30:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/90ebda9fcae97f9ebc164a3cca0a7c2f/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/bangalore-university/bachelor-of-computer-applications/dst-modelpaper-2-maths-question-bank/28965620","contentSize":"204065 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.2e6f25b6c4e814567b9a8ce5750adb30?rik=hN0RJzavjSfbNg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"8F082E7B41CC43D5BC1C36DB278DAF362711DD84","accentColor":"828200"},"4C4B0B185E9026CD17DD50EA4F75DCBFDE664BD7":{"name":"Associative Law and Conjuction - Associative Law in Discrete ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.yWrCdU6VEZ5DCBB0oLCCUgHaJl?r=0&pid=Api","datePublished":"2023-02-13T02:37:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/91bdb55cd37460b8477e46823d970fb7/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/associative-law-and-conjuction/46677062","contentSize":"154918 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.c96ac2754e95119e43081074a0b08252?rik=xLSwgeUJYtxx3Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"7DB466EDFBCD57F4AE05DD71DC6209E581B0B4C4","accentColor":"232323"},"AA25C66A32C900CDB3589FE14BCAF962682DD667":{"name":"Discrete Mathematics and Its Applications: Buy Discrete Mathematics and ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.sA1PjhSSyNvUEYnWecACtAHaJ6?r=0&pid=Api","datePublished":"2015-03-11T04:28:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://rukminim2.flixcart.com/image/832/832/jsdj8nk0/book/8/8/0/discrete-mathematics-and-its-applications-original-imafdyhgmhq6zkmk.jpeg?q=70&crop=false","hostPageUrl":"https://www.flipkart.com/discrete-mathematics-its-applications-combinatorics-graph-theory-english-7th/p/itmdwxxszhczjrnf","contentSize":"60512 B","width":622,"height":832,"cDNContentUrl":"https://th.bing.com/th/id/R.b00d4f8e1492c8dbd41189d679c002b4?rik=qlJspiOcANw7hQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"766DD286269FACB41EF9853BDC009C23A66C52AA","accentColor":"0F4670"},"5F07528209FDDE4520738D72E6305F40E29F8CB1":{"name":"Buy Discrete Mathematics for Computer Science: An Example-Based ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.yXwU23ndwbFD8xzIfAvvPgAAAA?r=0&pid=Api","datePublished":"2021-03-29T16:30:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/51hkDutEZfL._SY445_SX342_ML2_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Computer-Science-Example-Based/dp/0367549883","contentSize":"40139 B","width":312,"height":445,"cDNContentUrl":"https://th.bing.com/th/id/R.c97c14db79ddc1b143f31cc87c0bef3e?rik=9XAlKJDf7VQCNw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"1BC8F92E04F5036E27D8370254EDDF90282570F5","accentColor":"0F1E33"},"159721EF8865A43C296A5AD36C90AAA739C3EF8C":{"name":"MTH 401 DISCRETE MATHEMATICS - My Blog","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.94nr5KkdrwRuDG9G0vFm5wHaE8?r=0&pid=Api","datePublished":"2025-03-02T00:32:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://qqbscpfkecykuadtjgsv.supabase.co/storage/v1/object/public/blog-featured-images/default-story.png","hostPageUrl":"https://somana.in/story/mth-401-discrete-mathematics-67b17f0f0f7f27326ee576fd","contentSize":"139112 B","width":2402,"height":1606,"cDNContentUrl":"https://th.bing.com/th/id/R.f789ebe4a91daf046e0c6f46d2f166e7?rik=UXkS%2fohWSsOSpg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"C8FE3C937AAA09C63DA5A692C34A5688FE127951","accentColor":"666666"},"0500269731A4231A7985A19C0EC4556533E8F937":{"name":"Buy Discrete Mathematics with Graph Theory (Featured Titles for ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.tWcyoCCSy_0SDwwq1GIbHQAAAA?r=0&pid=Api","datePublished":"2005-06-24T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/31v0RaBvbXL.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Theory-Featured-Titles/dp/0131679953","contentSize":"11835 B","width":180,"height":245,"cDNContentUrl":"https://th.bing.com/th/id/R.b56732a02092cbfd120f0c2ad4621b1d?rik=UABieRNKMqGXWA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"739F8E3356554CE0C91A5897A1324A1379620050","accentColor":"0A76B9"},"21DF07F6CD218DD558A63F825B3C0642BACA8BB4":{"name":"Buy Discrete Mathematics and Its Applications (Higher Math) Book Online ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.p-ouIUvAEjwFy-B51Sw3ZAHaJL?r=0&pid=Api","datePublished":"2012-08-16T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/61UWYvar6eL._SL1000_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Applications-Kenneth-Rosen/dp/0073383090","contentSize":"76029 B","width":807,"height":1000,"cDNContentUrl":"https://th.bing.com/th/id/R.a7ea2e214bc0123c05cbe079d52c3764?rik=Ev1wb9wS2F2Fag&pid=ImgRaw&r=0","isTransparent":false,"imageId":"4BB8ACAB2460C3B528F36A855DD812DC6F70FD12","accentColor":"A1632A"},"131660EF519945A854662F33359B909FE756735A":{"name":"Maths notes - Discrete mathematics - Studocu","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.EweK9WTTEV-hzUGPSxzIOwHaKe?r=0&pid=Api","datePublished":"2023-06-07T17:52:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/c0808c15c0a8b4b742fe1e827b25f7c5/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/pcte-group-of-institutes/discrete-mathematics/maths-notes/55281679","contentSize":"1592167 B","width":1200,"height":1698,"cDNContentUrl":"https://th.bing.com/th/id/R.13078af564d3115fa1cd418f4b1cc83b?rik=MWEG%2fhWZVIpFZg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A537657EF909B95333F266458A549915FE066131","accentColor":"746858"},"7216F47E8502D325CE92EA3B70981F2E4EBBAAC3":{"name":"Textbook Of Discrete Mathematics - For B. E./B. Tech., B. Sc and M. Sc ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.b0XmaauRrJH0ZajhO8ZwkwHaKt?r=0&pid=Api","datePublished":"2019-05-12T00:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://rukminim1.flixcart.com/image/832/832/kjlrb0w0-0/book/e/i/2/textbook-of-discrete-mathematics-original-imafz5yempubjdas.jpeg?q=70","hostPageUrl":"https://www.flipkart.com/textbook-discrete-mathematics-b-e-b-tech-sc-m-sc-computer-science-bca-mca-other-computer-related-professional-courses/p/itmdytgawatqntxz","contentSize":"49711 B","width":575,"height":832,"cDNContentUrl":"https://th.bing.com/th/id/R.6f45e669ab91ac91f465a8e13bc67093?rik=J2FP51ggPVLsKQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3CAABBE4E2F18907B3AE29EC523D2058E74F6127","accentColor":"0892C3"},"0DA0897A34F3B65133581FFE5F27CFCCE1714B19":{"name":"DISCRETE MATHEMATICS : Babu Ram: Amazon.in: Books","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.RDXZXn1qbjl7zvZoawMzgwAAAA?r=0&pid=Api","datePublished":"2017-10-15T17:38:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/41ZUTV+xaeL._SY445_SX342_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-1e-Babu-Ram/dp/8131733106","contentSize":"20241 B","width":330,"height":445,"cDNContentUrl":"https://th.bing.com/th/id/R.4435d95e7d6a6e397bcef6686b033383?rik=0AqYp0M%2faxUzhQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"91B4171ECCFC72F5EFF18533156B3F43A7980AD0","accentColor":"2F759C"},"DB0B4DBB43D16434D19EF05881826B7ADC97998A":{"name":"Buy Discrete Mathematics With Applications Book Online at Low Prices in ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.B1uhrQQsIVwrQNdfVyZrHAHaJ2?r=0&pid=Api","datePublished":"2025-01-22T16:51:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/81MRlAXRM8L._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Applications-Susanna-Epp/dp/0495391328","contentSize":"120664 B","width":1127,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.075ba1ad042c215c2b40d75f57266b1c?rik=vbDUuzQdRkMd6Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A89979CDA7B62818850FE91D43461D34BBD4B0BD","accentColor":"2D4B88"},"A776BA1B800857CD9BC246A377B2D45C5F85CD80":{"name":"Introduction to Graph - Data Structures Tutorial | Study Glance","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.bbDTVqAJotx7VpKHaMrWhgHaCz?r=0&pid=Api","datePublished":"2023-12-21T01:23:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://studyglance.in/ds/images/Types-of-graphs.jpg","hostPageUrl":"https://studyglance.in/ds/display.php?tno=32&topic=Introduction-to-Graph","contentSize":"721264 B","width":2482,"height":942,"cDNContentUrl":"https://th.bing.com/th/id/R.6db0d356a009a2dc7b56928768cad686?rik=emersQiAddy5LA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"08DC58F5C54D2B773A642CB9DC758008B1AB677A","accentColor":"227DA9"},"FB94541F607123911A6736CDF91F4B2A66758E11":{"name":"Airtel vs Reliance Jio: Top carrier launches new international roaming ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.BNlEdBGIq40v35QXhudo4AHaEw?r=0&pid=Api","datePublished":"2016-10-26T09:40:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://data1.ibtimes.co.in/en/full/602348/airtel-vs-reliance-jio.jpg","hostPageUrl":"https://www.ibtimes.co.in/airtel-vs-reliance-jio-top-carrier-launches-new-international-roaming-pack-unlimited-incoming-701328","contentSize":"501440 B","width":1200,"height":771,"cDNContentUrl":"https://th.bing.com/th/id/R.04d944741188ab8d2fdf941786e768e0?rik=v0lF8QYXMhmhdg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"11E85766A2B4F19FDC6376A119321706F14549BF","accentColor":"713840"},"44401C944CD230D0A8914B68C9D284B0F7885C63":{"name":"Swift Message vs Purpose codes","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.gfD7mpHqMQkr8sdacOcxWwHaDt?r=0&pid=Api","datePublished":"2022-10-25T12:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://cdn.taxguru.in/wp-content/uploads/2022/10/Under-MT01-message-is-sent-from-the-Forwarding-Bank-to-the-Executing-Bank.jpg","hostPageUrl":"https://taxguru.in/rbi/swift-message-purpose-codes.html","contentSize":"42098 B","width":600,"height":300,"cDNContentUrl":"https://th.bing.com/th/id/R.81f0fb9a91ea31092bf2c75a70e7315b?rik=RATBScQtAw2KGQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"36C5887F0B482D9C86B4198A0D032DC449C10444","accentColor":"314B86"},"7DE9785ED4638E5AD9CD495B25EA4D78E5700084":{"name":"Discrete Mathematics: Pearson New International Edition: Buy Discrete ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.QMzFebuRn8yw0VhPKkCTOAAAAA?r=0&pid=Api","datePublished":"2025-02-19T15:08:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://rukmini1.flixcart.com/image/300/300/jz5vjbk0/book/6/1/1/discrete-mathematics-pearson-new-international-edition-original-imafj889jp7wsm8t.jpeg","hostPageUrl":"https://www.flipkart.com/discrete-mathematics-pearson-new-international/p/itmfbfzcngheykgy","contentSize":"14632 B","width":236,"height":300,"cDNContentUrl":"https://th.bing.com/th/id/R.40ccc579bb919fccb0d1584f2a409338?rik=156H5U026KWd3A&riu=http%3a%2f%2frukmini1.flixcart.com%2fimage%2f300%2f300%2fjz5vjbk0%2fbook%2f6%2f1%2f1%2fdiscrete-mathematics-pearson-new-international-edition-original-imafj889jp7wsm8t.jpeg&ehk=BtM7E1vxRG6ispbjL08WoudiC1xqdzcVsgqhnD4Awac%3d&risl=&pid=ImgRaw&r=0","isTransparent":false,"imageId":"4800075E87D4AE52B594DC9DA5E8364DE5879ED7","accentColor":"C48507"},"24915B93D7BA571286213E6DCDF40A2849BE04EE":{"name":"Discrete maths - Computer science engineering - Studocu","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.9addHmpE06_Kh-VDyHGXXgHaKe?r=0&pid=Api","datePublished":"2023-04-02T17:30:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/9cf1309acccf34830476154ef0694a3c/thumb_1200_1698.png","hostPageUrl":"https://www.studocu.com/in/document/parul-university/computer-science-engineering/discrete-maths/44606360","contentSize":"1126373 B","width":1200,"height":1698,"cDNContentUrl":"https://th.bing.com/th/id/R.f5a75d1e6a44d3afca87e543c871975e?rik=Qhm1OX2rdSFoEg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"EE40EB9482A04FDCD6E312682175AB7D39B51942","accentColor":"B0B714"},"D703124C78036093518761EABFC3F1460F1B3D4C":{"name":"CLASS 6 IOM MATHS OLYMPIAD OFFICIAL SAMPLE QUESTION PAPER | Olympiad tester","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.HZ5B48uzBqiqeaTzC_N8UAHaHr?r=0&pid=Api","datePublished":"2022-08-12T07:02:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://olympiadtester.in/cdn/shop/articles/1efd15aa9e4cfad70054d06bfa875356_1200x1200.png?v=1666151888","hostPageUrl":"https://olympiadtester.in/blogs/class-6-study-material/class-6-iom-maths-olympiad-official-sample-question-paper","contentSize":"54498 B","width":722,"height":749,"cDNContentUrl":"https://th.bing.com/th/id/R.1d9e41e3cbb306a8aa79a4f30bf37c50?rik=fTAhxIcwBjkVeA&riu=http%3a%2f%2folympiadtester.in%2fcdn%2fshop%2farticles%2f1efd15aa9e4cfad70054d06bfa875356_1200x1200.png%3fv%3d1666151888&ehk=Zruo72lLbl6tnkRPrE8vjo41S%2be7SX%2bdcyaFeRLIlqI%3d&risl=&pid=ImgRaw&r=0","isTransparent":false,"imageId":"C4D3B1F0641F3CFBAE16781539063087C421307D","accentColor":"796652"},"E5DEE0249BD5081E6B66F586F8A1E9C1E34F5D24":{"name":"Buy Eulerian Graphs and Related Topics: v.2 (Annals of Discrete ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.QngEbruDJC9ybw8KUhRq9QAAAA?r=0&pid=Api","datePublished":"2024-08-08T01:26:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/41P2oR-CslL._SY445_SX342_.jpg","hostPageUrl":"https://www.amazon.in/Eulerian-Graphs-Related-Topics-Mathematics/dp/0444891102","contentSize":"11778 B","width":335,"height":445,"cDNContentUrl":"https://th.bing.com/th/id/R.4278046ebb83242f726f0f0a52146af5?rik=Xu0OQrldgOG2Zg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"42D5F43E1C9E1A8F685F66B6E1805DB9420EED5E","accentColor":"9D4213"},"9A09F1097442B8DF7C6564481FB34FEFE6A474CA":{"name":"Identity and Injective Function - Identity Function in Discrete ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP._1m8acWrUpfDAeaGnmunewHaJl?r=0&pid=Api","datePublished":"2023-02-13T02:37:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/320405a3bcff35d3a640ce3d2b1194b4/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/identity-and-injective-function/46677395","contentSize":"146305 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.ff59bc69c5ab5297c301e6869e6ba77b?rik=qZAfkEcki%2f3HVg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"AC474A6EFEF43BF1844656C7FD8B2447901F90A9","accentColor":"292929"},"E4FE6594EC2E5AF9A71B8FCB0D3C74EFB676EDD8":{"name":"Compound Interest Formula With Examples - India Dictionary","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.rHNuxV51TdkpQGwF-MWcCAHaFj?r=0&pid=Api","datePublished":"2021-02-03T16:35:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://1investing.in/wp-content/uploads/2019/06/compound-interest-formula-with-examples_1.jpg","hostPageUrl":"https://www.1investing.in/compound-interest-formula-with-examples/","contentSize":"54125 B","width":960,"height":720,"cDNContentUrl":"https://th.bing.com/th/id/R.ac736ec55e754dd929406c05f8c59c08?rik=Tu9WSc7ipZ96sQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"8DDE676BFE47C3D0BCF8B17A9FA5E2CE4956EF4E","accentColor":"997632"},"B2847C9A7ED94C2FAD1F1F893AD663285031BF3A":{"name":"LICET LMS","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.S4z1FsTvsD_YRNrLO2xK0QAAAA?r=0&pid=Api","datePublished":"2021-09-26T07:33:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://moodle.licet.ac.in/pluginfile.php/36814/course/overviewfiles/DM.jpg","hostPageUrl":"https://moodle.licet.ac.in/","contentSize":"9621 B","width":287,"height":176,"cDNContentUrl":"https://th.bing.com/th/id/R.4b8cf516c4efb03fd844dacb3b6c4ad1?rik=K0jHqeedxPLa8Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A3FB130582366DA398F1F1DAF2C49DE7A9C7482B","accentColor":"0B1509"},"DA7BCD5928502E37FF9C3E58A64763E13343B07F":{"name":"Buy DISCRETE MATHEMATICAL STRU Book Online at Low Prices in India ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.fU7XdQMICGZj97uUQ2ACZAHaLe?r=0&pid=Api","datePublished":"2024-06-08T09:09:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/710HMWIPjML._SL1100_.jpg","hostPageUrl":"https://www.amazon.in/DISCRETE-MATHEMATICAL-STRU-Jean-Paul-Tremblay/dp/0074631136","contentSize":"145921 B","width":710,"height":1100,"cDNContentUrl":"https://th.bing.com/th/id/R.7d4ed7750308086663f7bb9443600264?rik=rbfclYIF4nP%2fyQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F70B34331E36746A85E3C9FF73E2058295DCB7AD","accentColor":"C31F08"},"38F7C8ECE534009BF094202EAE593328D7D29465":{"name":"Logic Discrete Mathematical Structures 2013-2014 B.Sc IT (Information ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP._mRkyZcgYIcX1FaIoaMRMgHaJ0?r=0&pid=Api","datePublished":"2020-11-25T11:55:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.shaalaa.com/images/university-of-mumbai-bsc-logic-discrete-mathematical-structures-bsc-it-semester-3-sybsc-it-2013-2014_2:bc0d293fa59f419aac52ee535ae8c14e.jpg","hostPageUrl":"https://www.shaalaa.com/question-paper-solution/university-of-mumbai-bsc-logic-discrete-mathematical-structures-bsc-it-semester-3-sybsc-it-2013-2014_8606","contentSize":"117933 B","width":800,"height":1061,"cDNContentUrl":"https://th.bing.com/th/id/R.fe6464c99720608717d45688a1a31132?rik=g3%2bMzl5DALkPSQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"56492D7D823395EAE202490FB900435ECE8C7F83","accentColor":"444444"},"0CDD23CD9629CDA859447865863B950E46F1D0E6":{"name":"A Textbook Of Discrete Mathematics | By Swapan Kumar Sarkar | 9th ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.HG5Kz_Tm3Z0_8OYIVRLLKgHaHa?r=0&pid=Api","datePublished":"2022-12-18T04:57:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMhNWJ3BvzrOJhvTZXaZVIi6nYWBwghgpeA9hd7W23O5Jt668oTQrQUTgtIOevtrj2KfMkw-RZoSi3M23a3uD3dOtWlgqtYJAirBP9KpvkS7yO4pK0ddthxdvSQe_HFV9z7NGziryGoJtp_2GD-0RPO3UZpulsb1xmiT51OUqdiEj50Nx8vQPgEG-j/s555/Background%20-%20Copy%20-%20Copy%20-%20Copy.jpeg","hostPageUrl":"https://shop.exam360.in/2022/12/a-textbook-of-discrete-mathematics-by.html","contentSize":"59040 B","width":555,"height":555,"cDNContentUrl":"https://th.bing.com/th/id/R.1c6e4acff4e6dd9d3ff0e6085512cb2a?rik=wN0y3GmS3IqVRA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"6E0D1F64E059B368568744958ADC9269DC32DDC0","accentColor":"108FBB"},"675E14A71DA1D16AE5D37EF458B57DC0341821C0":{"name":"Problems in Graph theory BCA discrete mathematics - PART B 1. Find the ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.5-5LaYY1nGlvhLH6UVcj6wHaJl?r=0&pid=Api","datePublished":"2022-02-24T21:29:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b67267b9c27fd146321da76d58f2373a/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/university-of-calicut/mathematics/problems-in-graph-theory-bca-discrete-mathematics/22441632","contentSize":"168228 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.e7ee4b6986359c696f84b1fa515723eb?rik=duVBetEaHaZePQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"0C1281430CD75B854FE73D5EA61D1AD17A41E576","accentColor":"50636A"},"493243E60E5F084C4637B112778CF98E9FC250B0":{"name":"Discrete Mathematics By Swapan Kumar Sarkar (Second Hand & Used Book ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.fWlV4VBUaaYROKYX_1oZzwHaLg?r=0&pid=Api","datePublished":"2025-07-28T08:41:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/614i0LFtw8L._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Swapan-Sarkar-Second/dp/B0CH6MWFGW","contentSize":"113337 B","width":966,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.7d6955e1505469a61138a617ff5a19cf?rik=lCM0buD1gMRkcw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"0B052CF9E89FC877211B7364C480F5E06E342394","accentColor":"945837"},"5A87365D104C39DFA4AACBC4C8D3C6F0E5884C82":{"name":"Algorithms: GATE CSE 2021 Set 2 | Question: 46","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.GgLAh7QiHR71T1up_aA6lQHaER?r=0&pid=Api","datePublished":"2021-02-18T12:51:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://media.geeksforgeeks.org/wp-content/uploads/20230801122248/scc_fianldrawio.png","hostPageUrl":"https://gateoverflow.in/357494/gate-cse-2021-set-2-question-46","contentSize":"55170 B","width":1061,"height":612,"cDNContentUrl":"https://th.bing.com/th/id/R.1a02c087b4221d1ef54f5ba9fda03a95?rik=pXhj1QHEk%2f1Kqg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"28C4885E0F6C3D8C4CBCAA4AFD93C401D56378A5","accentColor":"26794D"},"880072A020DB6088CBAD57ABE172BEC44685B119":{"name":"Strength of Solution Formula, Units and Calculation - Chemistry ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.ux28lcUTPZrT9ycslh3udAHaEI?r=0&pid=Api","datePublished":"2022-09-19T18:43:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/4_53.PNG?BCgkjAP62Pg9zboacyLegqkPrM.NSs5D","hostPageUrl":"https://www.aakash.ac.in/important-concepts/chemistry/strength-of-a-solution","contentSize":"36496 B","width":547,"height":305,"cDNContentUrl":"https://th.bing.com/th/id/R.bb1dbc95c5133d9ad3f7272c961dee74?rik=iAAnCgK9Boi82g&pid=ImgRaw&r=0","isTransparent":false,"imageId":"911B58644CEB271EBA75DABC8806BD020A270088","accentColor":"404040"},"C001FF9A955428C0A2F20FF38FF1EC1305D7ECEB":{"name":"DISCRETE MATHEMATICAL STRUCTURES, 6TH EDN : Kolman / Busby / Ross ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP._Co6FaEo5rdNXH7bDpG9lwHaJe?r=0&pid=Api","datePublished":"2022-08-10T15:43:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/91QX5zcALtL._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/DISCRETE-MATHEMATICAL-STRUCTURES-6TH-EDN/dp/9332549591","contentSize":"300078 B","width":1173,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.fc2a3a15a128e6b74d5c7edb0e91bd97?rik=DBD%2fqVlFggwqLw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"BECE7D5031CE1FF83FF02F2A0C824559A9FF100C","accentColor":"B39918"},"75C51E6D2243BA64123A48C3C790C9D84130C4FC":{"name":"Student's Solutions Guide to Accompany Discrete Mathematics and Its ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.-CvMy_50sSB_jKAMwKS-0AHaJx?r=0&pid=Api","datePublished":"2023-11-09T04:10:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/71ctQL8uZ0L._SL1067_.jpg","hostPageUrl":"https://www.amazon.in/Students-Solutions-Accompany-Mathematics-Applications/dp/B00LLLIOOG","contentSize":"161388 B","width":809,"height":1067,"cDNContentUrl":"https://th.bing.com/th/id/R.f82bcccbfe74b1207f8ca00cc0a4bed0?rik=V1zh1iI0q0Yhow&pid=ImgRaw&r=0","isTransparent":false,"imageId":"CF4C03148D9C097C3C84A32146AB3422D6E15C57","accentColor":"2F4D9C"},"9FC2177DAA1FD82D0555727AC8A3EF29887C3ED1":{"name":"DISCRETE MATHEMATICAL STRUCTURES (18CS36)","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.czGR5rPIrVqfyIIe4fabiQHaEK?r=0&pid=Api","datePublished":"2020-09-08T15:29:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://1.bp.blogspot.com/-fTU8Kxe-sGg/XjEvMmycV2I/AAAAAAAAAuQ/aodWhiAnhWwKBdSXz_zclXwwq6THXNJegCLcBGAsYHQ/s640/5.png","hostPageUrl":"https://www.azdocuments.in/2020/01/discrete-mathematical-structures-18cs36.html","contentSize":"219532 B","width":560,"height":315,"cDNContentUrl":"https://th.bing.com/th/id/R.733191e6b3c8ad5a9fc8821ee1f69b89?rik=%2bSxx16rxjdJQVQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"1DE3C78892FE3A8CA7275550D28DF1AAD7712CF9","accentColor":"C52306"},"6919B67996F1198D14C4428763AE87BAB62CA054":{"name":"Buy ISE Discrete Mathematics and Its Applications Book Online at Low ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP._kr7Pd11bHK5MifACxBgRwHaJJ?r=0&pid=Api","datePublished":"2018-08-10T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/81ohWsXuZ3L._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Mathematics-Applications-Kenneth-Rosen/dp/1260091996","contentSize":"143074 B","width":1215,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.fe4afb3ddd756c72b93227c00b106047?rik=lpFrl2kfkdhBTA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"450AC26BAB78EA3678244C41D8911F69976B9196","accentColor":"BA9211"},"722F979E82373D233BCD5D753D7C23C81B0A4239":{"name":"கணித தர்க்கவியல் (Mathematical Logic) : தர்க்க இணைப்புகள் மற்றும் அதன் ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.HcxPIH7YN6LXVkcJvAH1XgHaCf?r=0&pid=Api","datePublished":"2023-01-15T00:36:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.brainkart.in/media/tamimg42/TMoBwib.png","hostPageUrl":"https://www.brainkart.in/article/Mathematical-Logic--Logical-Connectives-and-their-Truth-Tables_41289/","contentSize":"17660 B","width":637,"height":215,"cDNContentUrl":"https://th.bing.com/th/id/R.1dcc4f207ed837a2d7564709bc01f55e?rik=J%2fJ56Shz0zKz3A&pid=ImgRaw&r=0","isTransparent":false,"imageId":"9324A0B18C32C7D357D5DCB332D37328E979F227","accentColor":"B32818"},"358206493059B4E9835F2BF741A027E10CDD5AD2":{"name":"GeForce.com Watch Dogs 2 Geometry Interactive Comparison: Ultra vs ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.R8zMDCOrXUB5pJOMafHXJQHaEK?r=0&pid=Api","datePublished":"2016-11-29T18:42:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/watch-dogs-2/watch-dogs-2-geometry-001-medium.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/watch-dogs-2/watch-dogs-2-geometry-interactive-comparison-001-ultra-vs-medium.html","contentSize":"3634982 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.47cccc0c23ab5d4079a4938c69f1d725?rik=UyhglAOVS5449Q&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fwatch-dogs-2%2fwatch-dogs-2-geometry-001-medium.png&ehk=VEEIgdV9wqseXndS0Kvch4hszraKIS%2fl5lCHiIh%2bk54%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"2DA5DDC01E720A147FB2F5389E4B950394602853","accentColor":"31679A"},"21D3650B834B0269EBF480A176C3A96C98361613":{"name":"How do I know the Incoming / Outgoing mail settings? - Blue Net Box","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.ulgDg9_NVRI-9eYEFytu6QHaCr?r=0&pid=Api","datePublished":"2020-06-24T03:56:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.bluenetbox.com/02images/email-manual-settings.jpg","hostPageUrl":"https://www.bluenetbox.com/knowledgebase/7/How-do-I-know-the-Incoming-or-Outgoing-mail-settings.html","contentSize":"37263 B","width":800,"height":290,"cDNContentUrl":"https://th.bing.com/th/id/R.ba580383dfcd55123ef5e604172b6ee9?rik=Ej1WsDi0IJa%2bTw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"31616389C69A3C671A084FBE9620B438B0563D12","accentColor":"4A4A4A"},"F4E1E17F128BD97CE987F803A7D07E2FAE36B665":{"name":"Homogeneous and Heterogeneous Mixtures: Explore 10 Examples of Each","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.5o8FEwCXEOpOw_ny-BsbmwHaDt?r=0&pid=Api","datePublished":"2022-12-15T16:39:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.adda247.com/jobs/wp-content/uploads/sites/2/2023/09/18184425/Homogenous-and-Heterogeneous-Mixture.png","hostPageUrl":"https://www.adda247.com/school/heterogeneous-mixture/","contentSize":"570859 B","width":1200,"height":600,"cDNContentUrl":"https://th.bing.com/th/id/R.e68f0513009710ea4ec3f9f2f81b1b9b?rik=Tx4e9yG4nceeeA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"566B63EAF2E70D7A308F789EC79DB821F71E1E4F","accentColor":"A75E24"},"7C5129040784C8E4CB19A37A5C389546E5655E16":{"name":"adjacent and vertical angle in maths: Definition, Types and Importance ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.qAJrFGU4PQpYydqXC5Lt6gHaCx?r=0&pid=Api","datePublished":"2021-07-11T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/pdf_management_files/target_solutions/adjacent%20and%20vertical%20angle%20image%20%203%20%2B4.png?e.8I_U6RdiU2zlg3gWAvLwZqsnBh1y8C","hostPageUrl":"https://www.aakash.ac.in/important-concepts/maths/adjacent-and-vertical-angle","contentSize":"258126 B","width":4000,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.a8026b1465383d0a58c9da970b92edea?rik=xxWSQHBIjE68kQ&pid=ImgRaw&r=0","isTransparent":true,"imageId":"61E5565E645983C5A73A91BC4E8C4870409215C7","accentColor":"532F9C"},"5D9EE2C6A4E088F6D57DA975036BE786712B1E08":{"name":"GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.8KfkJaqAUstvMASivJkDQAHaEK?r=0&pid=Api","datePublished":"2015-11-19T18:57:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-003-ultra.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-003-ultra-vs-off.html","contentSize":"2148447 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.f0a7e425aa8052cb6f3004a2bc990340?rik=1ekubEoOiG9d1w&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-003-ultra.png&ehk=ZW%2fdXXnd0aLDwuzLLbN1dKNIdd9UH9hijGecPasvyP0%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"80E1B217687EB630579AD75D6F880E4A6C2EE9D5","accentColor":"A26A29"},"73BE10BFB3173DD5F101122253C2926613072B65":{"name":"Buy Essentials of Discrete Mathematics Book Online at Low Prices in ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.mosbEAOuhOc_KgtgFrgx9QHaJe?r=0&pid=Api","datePublished":"2021-02-23T07:14:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/71EH4zog2nL._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Essentials-Discrete-Mathematics-David-Hunter/dp/1284184765","contentSize":"94661 B","width":1172,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.9a8b1b1003ae84e73f2a0b6016b831f5?rik=N%2bsB%2bztx010fEA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"56B2703166292C352221101F5DD3713BFB01EB37","accentColor":"C38508"},"1D203D367FA1E9823D969C358DE5713F090D0395":{"name":"Buy Mathematics: A Discrete Introduction Book Online at Low Prices in ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.npOStw-HsI_dCXIiAxt1DQHaJe?r=0&pid=Api","datePublished":"2012-03-01T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/61dv-+9OtZL._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Mathematics-Discrete-Introduction-Edward-Scheinerman/dp/0840049420","contentSize":"111755 B","width":1172,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.9e9392b70f87b08fdd097222031b750d?rik=0QLTY%2fcanijTaQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"5930D090F3175ED853C969D3289E1AF763D302D1","accentColor":"B99312"},"8A53AC8260F4FBA112F7F2B60B3593F9FAD5A989":{"name":"GeForce.com Fallout 4 Distant Object Detail Interactive Comparison ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.BKFs1RrpOaB5gsOb3TxHAgHaEK?r=0&pid=Api","datePublished":"2015-11-19T18:56:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-distant-object-detail-001-medium.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-distant-object-detail-interactive-comparison-001-high-vs-medium.html","contentSize":"3707681 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.04a16cd51ae939a07982c39bdd3c4702?rik=qDXKKAZPvxohfw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-distant-object-detail-001-medium.png&ehk=ChfxLjXgj8qcVHvG%2fiz2NrHr4%2fZu6TdJvvfKKNy%2bIhc%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"989A5DAF9F3953B06B2F7F211ABF4F0628CA35A8","accentColor":"3B6F90"},"7C366A5A1D80D61530507352ED4144F8D028268E":{"name":"What is the Modal in Maths? | Modal Number | Wiki - Twinkl","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.SOQYh_67IwowmWDsls9iyQHaFL?r=0&pid=Api","datePublished":"2020-09-26T16:14:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images.twinkl.co.uk/tw1n/image/private/t_630/u/ux/screen-shot-2021-01-06-at-17.11.56_ver_1.png","hostPageUrl":"https://www.twinkl.co.in/teaching-wiki/mode","contentSize":"20754 B","width":630,"height":441,"cDNContentUrl":"https://th.bing.com/th/id/R.48e41887febb230a309960ec96cf62c9?rik=x2OmpdEIbVEDBQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"E862820D8F4414DE25370503516D08D1A5A663C7","accentColor":"A64C25"},"86712FF7C818074AB675E47441BF840679F482E3":{"name":"USART vs. UART - what are the differences? - elektroda.com","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.-8KVKXXByQ1S4fejygNMHwHaDw?r=0&pid=Api","datePublished":"2022-04-01T16:19:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://obrazki.elektroda.pl/3128216100_1563542587.png","hostPageUrl":"https://www.elektroda.com/rtvforum/topic3632132.html","contentSize":"5849 B","width":518,"height":263,"cDNContentUrl":"https://th.bing.com/th/id/R.fbc2952975c1c90d52e1f7a3ca034c1f?rik=aBfyf4yBcKRrVw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3E284F976048FB14474E576BA470818C7FF21768","accentColor":"386193"},"8A280C73FB9F7144E9817978205E6E2C116C97F3":{"name":"Continuous Time Signals Free MCQ Practice Test with Solutions ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.pmRgEGrjWVJ4b82_D7ZSvgAAAA?r=0&pid=Api","datePublished":"2022-10-26T18:31:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://edurev.gumlet.io/ApplicationImages/Temp/50691491-5432-45dc-9980-2561e39bec65_lg.jpg","hostPageUrl":"https://edurev.in/test/27134/Test-Continuous-Time-Signals","contentSize":"41064 B","width":366,"height":431,"cDNContentUrl":"https://th.bing.com/th/id/R.a66460106ae35952786fcdbf0fb652be?rik=qILAN7%2f5F0SeGA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3F79C611C2E6E5028797189E4417F9BF37C082A8","accentColor":"505457"},"5BA33EFD516B7DBE790525D56160EDD5665CFAB8":{"name":"GeForce.com Call of Duty: Black Ops 3 Anti-Aliasing Interactive ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.aXU6EQukiaBaX7DV4f3QigHaEK?r=0&pid=Api","datePublished":"2015-11-18T02:52:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/call-of-duty-black-ops-3/call-of-duty-black-ops-3-anti-aliasing-002-smaa-1x.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/call-of-duty-black-ops-iii/call-of-duty-black-ops-3-anti-aliasing-interactive-comparison-2-smaa-t2x-vs-smaa-1x.html","contentSize":"3657821 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.69753a110ba489a05a5fb0d5e1fdd08a?rik=tTrj3xW21%2buXUA&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fcall-of-duty-black-ops-3%2fcall-of-duty-black-ops-3-anti-aliasing-002-smaa-1x.png&ehk=WNbSAl7F6UmZlEoSJdyw37zUg52csr%2bCi%2fZNCvuotM8%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"8BAFC5665DDE06165D525097EBD7B615DFE33AB5","accentColor":"836E48"},"048ADF4B3EBAB0F87D6287D7DCD9AFA051D6741F":{"name":"RSA Encryption, Mojette Transform, Negation - RSA Encryption in ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.WEc6iJf3RMjWsVZCPyR0qQHaJl?r=0&pid=Api","datePublished":"2023-02-08T20:34:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/67f72a59d5b6adcd6aa76a0b2eb123cc/thumb_1200_1553.png","hostPageUrl":"https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/rsa-encryption-mojette-transform-negation/46158904","contentSize":"197388 B","width":1200,"height":1553,"cDNContentUrl":"https://th.bing.com/th/id/R.58473a8897f744c8d6b156423f2474a9?rik=QKj9tOOrC4%2fXJg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F1476D150AFA9DCD7D7826D78F0BABE3B4FDA840","accentColor":"2C2C2C"},"BC39781E0318FD40B7A52DB7285FAD3BC56DFEED":{"name":"Computational Logic And Discrete Structures For MU Sem 1 F. Y. B.Sc ...","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.-IwaTvgCoSqc5oipk4XvVwHaI7?r=0&pid=Api","datePublished":"2022-10-12T09:42:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://rukminim1.flixcart.com/image/832/832/xif0q/regionalbooks/9/m/z/computational-logic-and-discrete-structures-for-mu-sem-1-f-y-b-original-imaghzhuurf9gkut.jpeg?q=70","hostPageUrl":"https://www.flipkart.com/computational-logic-discrete-structures-mu-sem-1-f-y-b-sc-information-technology-course-code-usit104-academic-year-2022-2023/p/itmebd4cfc0e213b","contentSize":"77633 B","width":690,"height":832,"cDNContentUrl":"https://th.bing.com/th/id/R.f88c1a4ef802a12a9ce688a99385ef57?rik=y5OH4TCB3wR7Wg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DEEFD65CB3DAF5827BD25A7B04DF8130E18793CB","accentColor":"0D69B1"},"400D2CB3AA17E16B3B8841551457185AE2D995C7":{"name":"GeForce.com Fallout 4 uGridsToLoad Interactive Comparison: 11 uGrids vs ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.TLLc9p3-tbRNT2Hi8RNuAAHaEK?r=0&pid=Api","datePublished":"2020-09-30T08:22:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-ugrids-002-ugrids-007.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-ugridstoload-tweak-interactive-comparison-002-ugrids-11-vs-ugrids-7.html","contentSize":"4121690 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.4cb2dcf69dfeb5b44d4f61e2f1136e00?rik=BNDCO6pxHraziA&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-ugrids-002-ugrids-007.png&ehk=UJoofzPom9jyJQB6d0YdjmccV4osi%2fvUD4VA1iZPzOI%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"7C599D2EA5817541551488B3B61E71AA3BC2D004","accentColor":"496075"},"FE65CCF8AB8AB90CD08AB4B01BB7AB240D7B014E":{"name":"Hacker vs Defender: Linux Servers | RoyalBosS","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.zuWt57CMbG8LZB0zNBZj4AHaEK?r=0&pid=Api","datePublished":"2025-01-08T20:50:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://cdn.royalboss.in/?url=https://img-c.udemycdn.com/course/750x422/6359377_6e69.jpg","hostPageUrl":"https://courses.royalboss.in/course/hacker-vs-defender-linux-servers/","contentSize":"76976 B","width":750,"height":422,"cDNContentUrl":"https://th.bing.com/th/id/R.cee5ade7b08c6c6f0b641d33341663e0?rik=71bMj7qom8ANqA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"E410B7D042BA7BB10B4BA80DC09BA8BA8FCC56EF","accentColor":"AE1D22"},"56676D60F1D3118599729FA4F3C8BFD0B8045384":{"name":"Signal Processing Algorithm Based on Discrete Wavelet Transform","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.5pOifieuxVjcFQvmgw1tuAHaGA?r=0&pid=Api","datePublished":"2021-07-13T03:28:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.mdpi.com/designs/designs-05-00041/article_deploy/html/images/designs-05-00041-g001.png","hostPageUrl":"https://www.mdpi.com/2411-9660/5/3/41","contentSize":"101171 B","width":1369,"height":1110,"cDNContentUrl":"https://th.bing.com/th/id/R.e693a27e27aec558dc150be6830d6db8?rik=ZXbWBh89EViZJw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"4835408B0DFB8C3F4AF9279958113D1F06D67665","accentColor":"2276A9"},"746E8CBA32CB9E1340F3A95C9236481BE13AE8EB":{"name":"GeForce.com Tom Clancy's Rainbow Six Siege Anti-Aliasing Interactive ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.q110eBojhaTWPADLKpvwwAHaEK?r=0&pid=Api","datePublished":"2017-08-09T14:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/tom-clancys-rainbow-six-siege/tom-clancys-rainbow-six-siege-anti-aliasing-001-2x-txaa.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/tom-clancys-rainbow-six-siege/tom-clancys-rainbow-six-siege-anti-aliasing-interactive-comparison-001-2x-txaa-vs-temporal-filtering-taa.html","contentSize":"2777983 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.ab5d74781a2385a4d63c00cb2a9bf0c0?rik=R%2bbIqyO86TEEPw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftom-clancys-rainbow-six-siege%2ftom-clancys-rainbow-six-siege-anti-aliasing-001-2x-txaa.png&ehk=KZioQ6K%2fonC%2ft%2b75FhvNODsjWC9e%2fvYuufmf5dHi5wU%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"BE8EA31EB1846329C59A3F0431E9BC23ABC8E647","accentColor":"986633"},"F6C55BD7F993BCD4EABF2CF14D28A0620573806E":{"name":"Matrix Multiplication: Process, Properties & Calculator | AESL","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.lTXZA0Q_iTDSl7tqVtOHgwHaH4?r=0&pid=Api","datePublished":"2022-10-13T05:13:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/1_63.jpg?0SKxCqDfiSx_HotPvVZdd8VSLNq8GFBY","hostPageUrl":"https://www.aakash.ac.in/important-concepts/maths/matrix-multiplication","contentSize":"56067 B","width":537,"height":571,"cDNContentUrl":"https://th.bing.com/th/id/R.9535d903443f8930d297bb6a56d38783?rik=b1y1fZ85y02u%2bw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"E6083750260A82D41FC2FBAE4DCB399F7DB55C6F","accentColor":"C22009"},"2011331490DED8F106155F63D4BCC4F31332ED29":{"name":"GeForce.com Assassin's Creed Syndicate Ambient Occlusion-Only ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.voI_VauR-QM0392td5qFWQHaEK?r=0&pid=Api","datePublished":"2015-11-20T16:47:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/assassins-creed-syndicate/assassins-creed-syndicate-ambient-occlusion-006-hbao-plus-ultra-ao-only.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/assassins-creed-syndicate/assassins-creed-syndicate-ambient-occlusion-interactive-comparison-006-hbao-plus-ultra-vs-ssao-ao-only.html","contentSize":"1343027 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.be823f55ab91f90334dfddad779a8559?rik=AhEzQQntjR9gUQ&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fassassins-creed-syndicate%2fassassins-creed-syndicate-ambient-occlusion-006-hbao-plus-ultra-ao-only.png&ehk=oJLCXh0%2b2iVMoNjGEN1UIcQUY1aS3j0V%2bmPKZEvPcJY%3d&risl=&pid=ImgRaw&r=0","isTransparent":false,"imageId":"92DE23313F4CCB4D36F551601F8DED0941331102","accentColor":"536B78"},"0AE83203CDD72BF09EE9930148A31023CB9E7E25":{"name":"Graph Theory: GO Classes Test Series 2024 | Discrete Mathematics | Test ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.KaC56NPZmYRN5v5Riz71cgHaCn?r=0&pid=Api","datePublished":"2022-07-14T13:49:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://lh6.googleusercontent.com/YA6cEDT4qaHj9ddWHt_xO85HEO6Lgjj3zvKvxUmaUkf6HvH2xmM-PF27flD7SGxxTo3NTb8sn02MeVgR3AvRaIqXB-OuqY2I1Y7HLIHxxZTw1B6mPjxYdyI7OVJUZIPA6pXCTlaKckNG-2tTMg","hostPageUrl":"https://gateoverflow.in/375244/classes-test-series-2024-discrete-mathematics-test-question","contentSize":"111332 B","width":925,"height":327,"cDNContentUrl":"https://th.bing.com/th/id/R.29a0b9e8d3d999844de6fe518b3ef572?rik=oI4jMNx9sg%2fpng&pid=ImgRaw&r=0","isTransparent":false,"imageId":"52E7E9BC32013A8410399EE90FB27DDC30238EA0","accentColor":"786553"},"A13954242297FC7CCAA4FFB145274DA82A8CB40A":{"name":"Independent and Dependent Events Poster","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.EzYUHZNLHPjyGssqO96GHAHaDt?r=0&pid=Api","datePublished":"2021-02-21T20:03:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/a0/ee/au-n-2549018-independent-and-dependent-events-poster-preview_ver_2.png","hostPageUrl":"https://www.twinkl.co.in/resource/independent-and-dependent-events-poster-au-n-2549018","contentSize":"34656 B","width":630,"height":315,"cDNContentUrl":"https://th.bing.com/th/id/R.1336141d934b1cf8f21acb2a3bde861c?rik=GpNFQiJ5z8esSg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"A04BC8A28AD472541BFF4AACC7CF79224245931A","accentColor":"BD4F0F"},"DF5B8AC5EA7FBFA87B8E100601F55773439AEE5F":{"name":"Descriptive vs Inferential Statistics","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.gTe4CJnxTDLy6JD1KEMMewHaHa?r=0&pid=Api","datePublished":"2021-03-31T07:25:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://img1.wsimg.com/isteam/ip/683a65a0-e168-404b-b9c7-0971d8289f02/Descriptive%20vs%20Inferential%20statistics.png/:/cr=t:0%25,l:0%25,w:100%25,h:100%25","hostPageUrl":"https://arockialiborious.com/f/descriptive-vs-inferential-statistics","contentSize":"273452 B","width":1600,"height":1600,"cDNContentUrl":"https://th.bing.com/th/id/R.8137b80899f14c32f2e890f528430c7b?rik=%2fbWoXK73%2b4q36A&pid=ImgRaw&r=0","isTransparent":false,"imageId":"F5EEA93437755F106001E8B78AFBF7AE5CA8B5FD","accentColor":"0090CC"},"12C3EE5B079FFEC74226BC99CA84C56AB217C439":{"name":"The resplendent joy of girl math - Blog","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.xCVI7Vf8itk1lQt-urliJgAAAA?r=0&pid=Api","datePublished":"2023-08-26T18:52:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://helios-i.mashable.com/imagery/articles/07hiPDWr1fAsa3EdzNwLLkk/images-2.fit_lim.size_376x.jpg","hostPageUrl":"https://appsmanager.in/blog/the-resplendent-joy-of-girl-math","contentSize":"45923 B","width":376,"height":650,"cDNContentUrl":"https://th.bing.com/th/id/R.c42548ed57fc8ad935950b7ebab96226?rik=ITzutXD573wkYg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"934C712BA65C48AC99CB62247CEFF970B5EE3C21","accentColor":"953636"},"A93335727DC03D0865D7BC99CA84C56AB217C439":{"name":"The resplendent joy of girl math - Blog","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.OhJ5ybrrnZ7N2CXL2QU-dQAAAA?r=0&pid=Api","datePublished":"2023-08-26T18:52:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://helios-i.mashable.com/imagery/articles/07hiPDWr1fAsa3EdzNwLLkk/images-1.fit_lim.size_376x.png","hostPageUrl":"https://appsmanager.in/blog/the-resplendent-joy-of-girl-math","contentSize":"178188 B","width":376,"height":589,"cDNContentUrl":"https://th.bing.com/th/id/R.3a1279c9baeb9d9ecdd825cbd9053e75?rik=mjNTJ9cM04BWfQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"934C712BA65C48AC99CB7D5680D30CD72753339A","accentColor":"AD1E84"},"DA0503DB5CE393FD031161863B90D9AFD1AA7C74":{"name":"MTH401 Discrete Mathematics - Lovely Professional University, Punjab ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.pfUcgJRiYrdRANzwe5E5jwHaFu?r=0&pid=Api","datePublished":"2022-10-01T05:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/281b0158f407b9d8b7433d49f6faa35c/thumb_1200_927.png","hostPageUrl":"https://www.studocu.com/in/document/lovely-professional-university/community-development-project/mth401-discrete-mathematics/33561072","contentSize":"145022 B","width":1200,"height":927,"cDNContentUrl":"https://th.bing.com/th/id/R.a5f51c80946262b75100dcf07b91398f?rik=rVAwvcU%2bOd8wEQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"47C7AA1DFA9D09B368161130DF393EC5BD3050AD","accentColor":"4D4D4D"},"2C10F7EECBD88A4CFBFAA975036BE786712B1E08":{"name":"GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.f3sAescsX27H4qxgUGApfwHaEK?r=0&pid=Api","datePublished":"2015-11-19T18:57:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-003-off.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-003-ultra-vs-off.html","contentSize":"2398896 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.7f7b007ac72c5f6ec7e2ac605060297f?rik=wgF%2f7ryNqMS%2frw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-003-off.png&ehk=%2bOLh79LqjLdlUS0lBlUTSCN2fr%2f%2bSa%2fYHtUrgm2sPTE%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"80E1B217687EB630579AAFBFC4A88DBCEE7F01C2","accentColor":"A56A26"},"17A7944460A7B9442A61A48761415A9652337E94":{"name":"GeForce.com Titanfall 2 Sun Shadow Detail Interactive Comparison: High ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.f9XaUZyUeJOD0cCs1C8o4gHaEK?r=0&pid=Api","datePublished":"2017-06-30T11:07:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/titanfall-2/titanfall-2-sun-shadow-detail-003-high.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/titanfall-2/titanfall-2-sun-shadow-detail-interactive-comparison-003-high-vs-off.html","contentSize":"4056873 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.7fd5da519c94789383d1c0acd42f28e2?rik=cXpJRAZ6m0SiFg&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftitanfall-2%2ftitanfall-2-sun-shadow-detail-003-high.png&ehk=uXD6OtvZos9pNLZlPo4beTwXppMNbJ4wC3LbKqwF3x4%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"49E7332569A51416784A16A2449B7A0644497A71","accentColor":"4B5F80"},"11456479781A9D10CCE121D0EE20B93325DB1513":{"name":"Tarjeta grafica on sale intel graphics hd","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.o3z5cbrZQ7HB8s1m6BpqnQHaDk?r=0&pid=Api","datePublished":"2025-01-27T07:14:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.zotac.com/download/files/news/desc/images/cpu-gpu_1.jpg","hostPageUrl":"https://www.metrorailnews.in/?m=223573612","contentSize":"20868 B","width":800,"height":386,"cDNContentUrl":"https://th.bing.com/th/id/R.a37cf971bad943b1c1f2cd66e81a6a9d?rik=EVRGl4eh2QHMHg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"3151BD52339B02EE0D121ECC01D9A18797465411","accentColor":"355A4C"},"9BADEAC6CA05E4C00894428A69A03EA4AC71E8AC":{"name":"GeForce.com Fallout 4 Anti-Aliasing Interactive Comparison: TAA vs ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.58g9maaWdvAuVjtNL_4k6gHaEK?r=0&pid=Api","datePublished":"2015-11-18T23:24:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-anti-aliasing-001-fxaa.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-anti-aliasing-interactive-comparison-001-taa-vs-fxaa.html","contentSize":"2707899 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.e7c83d99a69676f02e563b4d2ffe24ea?rik=udqubKxQTgyASQ&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-anti-aliasing-001-fxaa.png&ehk=4Z19VSQlmfFEKTWn2jZ4tXQkNLhZ%2fNnYSGFiEseWiqw%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"CA8E17CA4AE30A96A82449800C4E50AC6CAEDAB9","accentColor":"A57D26"},"BFC9FC9EBCA402871A1EA8934261F3329120F6A8":{"name":"How to differentiate between Good Design Vs Bad Design","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.8KgfDl_XOoD4fNBR1qcRkwHaEK?r=0&pid=Api","datePublished":"2023-05-08T12:41:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://assets-global.website-files.com/63e8db4f63db55003d1d5703/642ef15dfda8bb9b62a6663c_62596dae449182658f61f6e5_Bad-vs-Good-UI-Design-2.png","hostPageUrl":"https://www.fluidesigns.in/blog/how-to-differentiate-between-good-design-vs-bad-design","contentSize":"1020114 B","width":3840,"height":2160,"cDNContentUrl":"https://th.bing.com/th/id/R.f0a81f0e5fd73a80f87cd051d6a71193?rik=%2b5zP6ctKIHih4Q&pid=ImgRaw&r=0","isTransparent":false,"imageId":"8A6F0219233F1624398AE1A178204ACBE9CF9CFB","accentColor":"022CC9"},"B92D9117185EE581A9A250D8055B62E32F931D61":{"name":"Discrete-Time Signal Processing (Prentice-Hall Signal Processing Series ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.JbQ4zmnaB-NWoub8jhoo5gHaJI?r=0&pid=Api","datePublished":"2009-08-18T12:00:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/81e3p0JJ4bL._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Time-Signal-Processing-Prentice-Hall/dp/0131988425","contentSize":"165013 B","width":1217,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.25b438ce69da07e356a2e6fc8e1a28e6?rik=m9IZcYHlXhiaKg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"16D139F23E26B5508D052A9A185EE5817119D29B","accentColor":"B8BB10"},"E779815B7A8A91B006CBB3254C50459160946BA5":{"name":"15 Examples Of Maths Patterns In Nature That Will Stun You - MobyGeek.com","thumbnailUrl":"https://tse1.mm.bing.net/th/id/OIP.Tqx79FxVWQpgOMfhh70ttwHaE6?r=0&pid=Api","datePublished":"2019-07-08T06:40:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://img.mobygeek.com/resize/730x-/2019/07/08/cobweb-449909-960-720-compressed-0503.jpg","hostPageUrl":"https://mobygeek.com/features/15-examples-of-maths-patterns-in-nature-that-will-stun-you-6666","contentSize":"99383 B","width":730,"height":485,"cDNContentUrl":"https://th.bing.com/th/id/R.4eac7bf45c55590a6038c7e187bd2db7?rik=fpcYtaeoGQtgvA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"5AB64906195405C4523BBC600B19A8A7B518977E","accentColor":"4F5836"},"9A7088AA5B334ABA9E9CAD6CB0D989138706EC11":{"name":"Fillable Online math niu APPLICATION FOR THE MATHEMATICS INCOMING ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.yHDl_2GUX4vhxJt2EDRWaQAAAA?r=0&pid=Api","datePublished":"2023-09-02T14:32:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.pdffiller.com/preview/18/944/18944665.png","hostPageUrl":"https://www.pdffiller.com/18944665--math-incoming-freshmanpdf-APPLICATION-FOR-THE-MATHEMATICS-INCOMING-FRESHMAN-math-niu-","contentSize":"36104 B","width":298,"height":386,"cDNContentUrl":"https://th.bing.com/th/id/R.c870e5ff61945f8be1c49b7610345669?rik=qQeIqrUzpKvpyQ&pid=ImgRaw&r=0","isTransparent":true,"imageId":"11CE607831989D0BC6DAC9E9ABA433B5AA8807A9","accentColor":"9C9C00"},"78219E4054F1BF446FB9999103FD485DF9882DBF":{"name":"Discrete-Time Signal Processing, 3e : Oppenheim: Amazon.in: Books","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.ZKZ991zcThV2yVWlhlArCwHaKM?r=0&pid=Api","datePublished":"2023-06-24T04:35:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/71CCks6A9VL._SL1500_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-Time-Signal-Processing-3e-Oppenheim/dp/9332535035","contentSize":"116872 B","width":1090,"height":1500,"cDNContentUrl":"https://th.bing.com/th/id/R.64a67df75cdc4e1576c955a586502b0b?rik=hxLpBEUf%2b0T2mw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"FBD2889FD584DF3019999BF644FB1F4504E91287","accentColor":"07803C"},"93A177AA4181D927972B6FC2650571DDE75A5744":{"name":"GeForce.com Gears of War 4 Environment Reflections Interactive ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.zXp7s40Z4OKwVD2gbb890wHaEK?r=0&pid=Api","datePublished":"2017-07-07T03:06:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/gears-of-war-4/gears-of-war-4-environment-reflections-002-on.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/gears-of-war-4/gears-of-war-4-environment-reflections-interactive-comparison-002-on-vs-off.html","contentSize":"2678041 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.cd7a7bb38d19e0e2b0543da06dbf3dd3?rik=ORp3qhQYnXJ5sg&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fgears-of-war-4%2fgears-of-war-4-environment-reflections-002-on.png&ehk=ShffjxS0QMegWCPodE6u%2fTKXkMZHbc1BSI9FmNiknhc%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"4475A57EDD1750562CF6B279729D1814AA771A39","accentColor":"039AC8"},"14C568B4DD3910E95B20F36BECD1B0233E376DAF":{"name":"Difference between continuous and discrete system simulation in tabular ...","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.yjn4RRWuYwbfKgJj_riWpQHaDU?r=0&pid=Api","datePublished":"2019-07-19T05:57:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://hi-static.z-dn.net/files/d0b/b3309d44b701abfc834762d3913809c8.jpg","hostPageUrl":"https://brainly.in/question/10142953","contentSize":"62822 B","width":949,"height":425,"cDNContentUrl":"https://th.bing.com/th/id/R.ca39f84515ae6306df2a0263feb896a5?rik=QVyGS92TAZ61Ag&pid=ImgRaw&r=0","isTransparent":false,"imageId":"FAD673E3320B1DCEB63F02B59E0193DD4B865C41","accentColor":"343434"},"62ABE5F8C74C95873A2703D6BBBE44DECEB4A917":{"name":"A Continuous Process for Validation, Verification, and Accreditation of ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.ogSps4efQOINFsSgWZP-KgHaIb?r=0&pid=Api","datePublished":"2023-02-07T10:40:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://pub.mdpi-res.com/mathematics/mathematics-11-00845/article_deploy/html/images/mathematics-11-00845-g001.png?1675766181","hostPageUrl":"https://www.mdpi.com/2227-7390/11/4/845","contentSize":"84381 B","width":3994,"height":4544,"cDNContentUrl":"https://th.bing.com/th/id/R.a204a9b3879f40e20d16c4a05993fe2a?rik=Jrpej3zEWXijcg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"719A4BECED44EBBB6D3072A37859C47C8F5EBA26","accentColor":"396892"},"4E33C5709C66B9CA82469423B006C03B1B3386CB":{"name":"2021 Honda Amaze Facelift LEAKED, Compared with Outgoing Model » Car ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.f96bzgBtxz3HzEgKd4b80wHaGU?r=0&pid=Api","datePublished":"2021-08-04T12:23:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://www.carblogindia.com/wp-content/uploads/2021/08/2021-honda-amaze-facelift-headlight-vs-old-model.jpg","hostPageUrl":"https://www.carblogindia.com/2021-honda-amaze-facelift-vs-old-model-video/","contentSize":"76192 B","width":795,"height":679,"cDNContentUrl":"https://th.bing.com/th/id/R.7fde9bce006dc73dc7cc480a7786fcd3?rik=5DNcB8lmm6woZA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"BC6833B1B30C600B32496428AC9B66C9075C33E4","accentColor":"4F677C"},"BCD3C71FA8C58483F912BB4DBE65914FDD11AE23":{"name":"Soluble or Insoluble? — lesson. Science CBSE, Class 6.","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.Ttm6G9U7ooZvGdvtQ7NHKQHaGT?r=0&pid=Api","datePublished":"2023-02-24T07:09:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://resources.cdn.yaclass.in/46a31fc0-c694-4102-a65a-9e36f2b710ef/Capture1.JPG","hostPageUrl":"https://www.yaclass.in/p/science-cbse/class-6/sorting-materials-into-groups-18053/the-different-types-of-materials-2964/re-2e5aec54-9214-4499-8b9b-68a0f76b9e3a","contentSize":"33793 B","width":563,"height":479,"cDNContentUrl":"https://th.bing.com/th/id/R.4ed9ba1bd53ba2866f19dbed43b34729?rik=yz188YpcSDifIQ&pid=ImgRaw&r=0","isTransparent":false,"imageId":"32EA11DDF41956EBD4BB219F38485C8AF17C3DCB","accentColor":"1C96B0"},"A9F07EB40545DA694A808EA8D0335EFC2DF18174":{"name":"Workplace Quality & Safety Posters | Boost Productivity & Efficiency ...","thumbnailUrl":"https://tse3.mm.bing.net/th/id/OIP.qmCCgZPzSwj68H1tMQC2twHaHa?r=0&pid=Api","datePublished":"2025-03-01T08:38:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://eshop.visualmitra.com/cdn/shop/files/EnglishPackof6.webp?v=1740806884&width=1214","hostPageUrl":"https://eshop.visualmitra.com/products/quality-awareness-posters-pack-of-6","contentSize":"258972 B","width":1214,"height":1214,"cDNContentUrl":"https://th.bing.com/th/id/R.aa60828193f34b08faf07d6d3100b6b7?rik=mg%2fnS1BUrZakCA&pid=ImgRaw&r=0","isTransparent":false,"imageId":"47181FD2CFE5330D8AE808A496AD54504BE70F9A","accentColor":"0C84BF"},"73960132871162244BF1B505E0FB4823B87D4FED":{"name":"GeForce.com Tom Clancy's The Division Spot Shadow Count Interactive ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.mQ7IwLWun3BLhJarJuwRFwHaEK?r=0&pid=Api","datePublished":"2016-03-08T14:42:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/tom-clancys-the-division/tom-clancys-the-division-spot-shadow-count-001-medium.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/tom-clancys-the-division/tom-clancys-the-division-spot-shadow-count-interactive-comparison-001-high-vs-medium.html","contentSize":"3584597 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.990ec8c0b5ae9f704b8496ab26ec1117?rik=N2kQI3gRJkK0Hw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftom-clancys-the-division%2ftom-clancys-the-division-spot-shadow-count-001-medium.png&ehk=vgPO74jwVOQtZkv1s8LDJUTCrpnb%2bfEtK6eFYe09kFg%3d&risl=1&pid=ImgRaw&r=0","isTransparent":false,"imageId":"DEF4D78B3284BF0E505B1FB44226117823106937","accentColor":"8F5E3C"},"F905F5B0CB3D1B30F2F888A4478C4AD43388398B":{"name":"GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.vkqFOv5MM-pLv0lkHbSy-wHaEK?r=0&pid=Api","datePublished":"2015-11-19T18:56:00.0000000Z","isFamilyFriendly":true,"contentUrl":"http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-002-off.png","hostPageUrl":"https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-002-low-vs-off.html","contentSize":"2031234 B","width":1920,"height":1080,"cDNContentUrl":"https://th.bing.com/th/id/R.be4a853afe4c33ea4bbf49641db4b2fb?rik=n1BfC7zTsQMvjw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-002-off.png&ehk=BWxdc6SAbUIsp38JnvhWcqKvuQXvuvxG0Yyuu2FPfpY%3d&risl=&pid=ImgRaw&r=0","isTransparent":false,"imageId":"B89388334DA4C8744A888F2F03B1D3BC0B5F509F","accentColor":"AF571C"},"FDC0403766894DE7887938854F94D74AAE495573":{"name":"Discrete-time Signal Processing (Prentice-Hall signal processing series ...","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.YaiXfv-QZYbAcCufZJ4LLAAAAA?r=0&pid=Api","datePublished":"2021-07-15T19:25:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://m.media-amazon.com/images/I/41FCBZZTGWL._SY264_BO1,204,203,200_QL40_ML2_.jpg","hostPageUrl":"https://www.amazon.in/Discrete-time-Signal-Processing-Prentice-Hall-processing/dp/013216292X","contentSize":"5036 B","width":198,"height":266,"cDNContentUrl":"https://th.bing.com/th/id/R.61a8977eff906586c0702b9f649e0b2c?rik=3wwEc2aY1H6Ilw&pid=ImgRaw&r=0","isTransparent":false,"imageId":"375594EAA47D49F4588397887ED4986673040CDF","accentColor":"676863"},"6B552EEB4ABA6E2DA7689F812ACB79B3B9B0CBDF":{"name":"Needs and Wants Pictures | Resource | Twinkl USA","thumbnailUrl":"https://tse4.mm.bing.net/th/id/OIP.C5beg2JusUFH_nT2cnnvjwHaDt?r=0&pid=Api","datePublished":"2020-09-26T04:15:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/f2/e4/us-t-2549283-needs-and-wants-display-posters-english-united-states_ver_1.jpg","hostPageUrl":"https://www.twinkl.co.in/resource/us-t-2549283-needs-and-wants-display-posters","contentSize":"27507 B","width":630,"height":315,"cDNContentUrl":"https://th.bing.com/th/id/R.0b96de83626eb14147fe74f67279ef8f?rik=tlXivqSr5tJ6hg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"FDBC0B9B3B97BCA218F9867AD2E6ABA4BEE255B6","accentColor":"087DC3"},"FF8590A88B648803FA29DA2913EFAA489670B941":{"name":"👉 Maths in Everyday Life Poster | Maths Resource - Twinkl","thumbnailUrl":"https://tse2.mm.bing.net/th/id/OIP.V1z0jrtWYHy0hFhUGHAC3wHaDt?r=0&pid=Api","datePublished":"2021-11-18T22:27:00.0000000Z","isFamilyFriendly":true,"contentUrl":"https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/a2/de/t-m-1636485228-maths-in-everyday-life-poster_ver_1.jpg","hostPageUrl":"https://www.twinkl.co.in/resource/maths-in-everyday-life-poster-t-m-1636485228","contentSize":"63156 B","width":630,"height":315,"cDNContentUrl":"https://th.bing.com/th/id/R.575cf48ebb56607cb4845854187002df?rik=%2f1gJirhGiDCvkg&pid=ImgRaw&r=0","isTransparent":false,"imageId":"149B076984AAFE3192AD92AF308846B88A0958FF","accentColor":"BC630F"}},"relatedSearches":[{"text":"Examples of Discrete Math","displayText":"Examples of Discrete Math","webSearchUrl":"https://www.bing.com/images/search?q=Examples+of+Discrete+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5818.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Examples+of+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Discrete Math Problem Examples","displayText":"Discrete Math Problem Examples","webSearchUrl":"https://www.bing.com/images/search?q=Discrete+Math+Problem+Examples&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5820.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Discrete+Math+Problem+Examples","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Discrete+Math+Problem+Examples&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Excel Incoming/Outgoing Template","displayText":"Excel Incoming/Outgoing Template","webSearchUrl":"https://www.bing.com/images/search?q=Excel+Incoming%2fOutgoing+Template&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5822.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Excel+Incoming%2fOutgoing+Template","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Excel+Incoming%2fOutgoing+Template&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming vs Outgoing","displayText":"Incoming vs Outgoing","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+vs+Outgoing&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5824.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Incoming+vs+Outgoing&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Oncoming vs Incoming Traffic","displayText":"Oncoming vs Incoming Traffic","webSearchUrl":"https://www.bing.com/images/search?q=Oncoming+vs+Incoming+Traffic&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5826.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Oncoming+vs+Incoming+Traffic","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Oncoming+vs+Incoming+Traffic&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming and Outgoing Call","displayText":"Incoming and Outgoing Call","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+and+Outgoing+Call&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5828.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Call","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Call&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing and Incoming Designs","displayText":"Outgoing and Incoming Designs","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+and+Incoming+Designs&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5830.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Designs","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Designs&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Mathematical Induction Examples Discrete Math","displayText":"Mathematical Induction Examples Discrete Math","webSearchUrl":"https://www.bing.com/images/search?q=Mathematical+Induction+Examples+Discrete+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5832.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Mathematical+Induction+Examples+Discrete+Math","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Mathematical+Induction+Examples+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing vs Incoming Relationship Cameo","displayText":"Outgoing vs Incoming Relationship Cameo","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Relationship+Cameo&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5834.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Relationship+Cameo","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Outgoing+vs+Incoming+Relationship+Cameo&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Examples of Discrete Math Learned in Class","displayText":"Examples of Discrete Math Learned in Class","webSearchUrl":"https://www.bing.com/images/search?q=Examples+of+Discrete+Math+Learned+in+Class&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5836.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math+Learned+in+Class","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Examples+of+Discrete+Math+Learned+in+Class&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming/Outgoing Organization","displayText":"Incoming/Outgoing Organization","webSearchUrl":"https://www.bing.com/images/search?q=Incoming%2fOutgoing+Organization&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5838.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming%2fOutgoing+Organization","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Incoming%2fOutgoing+Organization&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Business Incoming and Outgoing Spreadsheet","displayText":"Business Incoming and Outgoing Spreadsheet","webSearchUrl":"https://www.bing.com/images/search?q=Business+Incoming+and+Outgoing+Spreadsheet&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5840.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Business+Incoming+and+Outgoing+Spreadsheet","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Business+Incoming+and+Outgoing+Spreadsheet&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing vs Incoming Calls On Polycom","displayText":"Outgoing vs Incoming Calls On Polycom","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Calls+On+Polycom&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5842.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Calls+On+Polycom","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Outgoing+vs+Incoming+Calls+On+Polycom&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming and Outgoing Sheets","displayText":"Incoming and Outgoing Sheets","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+and+Outgoing+Sheets&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5844.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Sheets","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Sheets&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Discrete Math Induction Cheat Sheet","displayText":"Discrete Math Induction Cheat Sheet","webSearchUrl":"https://www.bing.com/images/search?q=Discrete+Math+Induction+Cheat+Sheet&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5846.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Discrete+Math+Induction+Cheat+Sheet","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Discrete+Math+Induction+Cheat+Sheet&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing and Incoming Equipment Tracking Chart","displayText":"Outgoing and Incoming Equipment Tracking Chart","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+and+Incoming+Equipment+Tracking+Chart&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5848.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Equipment+Tracking+Chart","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Equipment+Tracking+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Examples of Discrete Math at UC Davis","displayText":"Examples of Discrete Math at UC Davis","webSearchUrl":"https://www.bing.com/images/search?q=Examples+of+Discrete+Math+at+UC+Davis&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5850.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math+at+UC+Davis","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Examples+of+Discrete+Math+at+UC+Davis&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming and Out Coming Tracjer","displayText":"Incoming and Out Coming Tracjer","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+and+Out+Coming+Tracjer&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5852.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+and+Out+Coming+Tracjer","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+and+Out+Coming+Tracjer&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming and Outgoing Tracker","displayText":"Incoming and Outgoing Tracker","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+and+Outgoing+Tracker&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5854.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Tracker","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Tracker&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing Door Link vs Incoming","displayText":"Outgoing Door Link vs Incoming","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+Door+Link+vs+Incoming&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5856.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+Door+Link+vs+Incoming","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Outgoing+Door+Link+vs+Incoming&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Directed Graphs Label with Incoming and Outgoing","displayText":"Directed Graphs Label with Incoming and Outgoing","webSearchUrl":"https://www.bing.com/images/search?q=Directed+Graphs+Label+with+Incoming+and+Outgoing&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5858.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Directed+Graphs+Label+with+Incoming+and+Outgoing","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Directed+Graphs+Label+with+Incoming+and+Outgoing&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing vs Incoming Trays","displayText":"Outgoing vs Incoming Trays","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Trays&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5860.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Trays","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Outgoing+vs+Incoming+Trays&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"If and Only If Discrete Math Example Math","displayText":"If and Only If Discrete Math Example Math","webSearchUrl":"https://www.bing.com/images/search?q=If+and+Only+If+Discrete+Math+Example+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5862.1","searchLink":"https://www.bing.com/api/v7/images/search?q=If+and+Only+If+Discrete+Math+Example+Math","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=If+and+Only+If+Discrete+Math+Example+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Process Incoming and Outgoing Telephone Calls","displayText":"Process Incoming and Outgoing Telephone Calls","webSearchUrl":"https://www.bing.com/images/search?q=Process+Incoming+and+Outgoing+Telephone+Calls&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5864.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Process+Incoming+and+Outgoing+Telephone+Calls","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Process+Incoming+and+Outgoing+Telephone+Calls&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Discrete Math Computations vs Permutations","displayText":"Discrete Math Computations vs Permutations","webSearchUrl":"https://www.bing.com/images/search?q=Discrete+Math+Computations+vs+Permutations&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5866.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Discrete+Math+Computations+vs+Permutations","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Discrete+Math+Computations+vs+Permutations&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming vs Outgoing Dependency","displayText":"Incoming vs Outgoing Dependency","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Dependency&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5868.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Dependency","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Incoming+vs+Outgoing+Dependency&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Discrete Vs. Continuous Ex Equation","displayText":"Discrete Vs. Continuous Ex Equation","webSearchUrl":"https://www.bing.com/images/search?q=Discrete+Vs.+Continuous+Ex+Equation&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5870.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Discrete+Vs.+Continuous+Ex+Equation","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Discrete+Vs.+Continuous+Ex+Equation&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Manual Regulator Incoming vs Outgoing Pressure Chat","displayText":"Manual Regulator Incoming vs Outgoing Pressure Chat","webSearchUrl":"https://www.bing.com/images/search?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5872.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Disjunction Math","displayText":"Disjunction Math","webSearchUrl":"https://www.bing.com/images/search?q=Disjunction+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5874.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Disjunction+Math","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Disjunction+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Material Incoming and Outgoing Register Format","displayText":"Material Incoming and Outgoing Register Format","webSearchUrl":"https://www.bing.com/images/search?q=Material+Incoming+and+Outgoing+Register+Format&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5876.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Material+Incoming+and+Outgoing+Register+Format","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Material+Incoming+and+Outgoing+Register+Format&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Basic Template for Incoming and Outgoing Accounts Records","displayText":"Basic Template for Incoming and Outgoing Accounts Records","webSearchUrl":"https://www.bing.com/images/search?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5878.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming vs Outgoing Depdencies","displayText":"Incoming vs Outgoing Depdencies","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Depdencies&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5880.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Depdencies","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+vs+Outgoing+Depdencies&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming References vs Outgoing References in Flowcharts","displayText":"Incoming References vs Outgoing References in Flowcharts","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+References+vs+Outgoing+References+in+Flowcharts&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5882.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+References+vs+Outgoing+References+in+Flowcharts","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Incoming+References+vs+Outgoing+References+in+Flowcharts&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Icoming and Outgoing Chart","displayText":"Icoming and Outgoing Chart","webSearchUrl":"https://www.bing.com/images/search?q=Icoming+and+Outgoing+Chart&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5884.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Icoming+and+Outgoing+Chart","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Icoming+and+Outgoing+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Implication Law Discrete Math","displayText":"Implication Law Discrete Math","webSearchUrl":"https://www.bing.com/images/search?q=Implication+Law+Discrete+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5886.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Implication+Law+Discrete+Math","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Implication+Law+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Ingoing and Outgoing Template","displayText":"Ingoing and Outgoing Template","webSearchUrl":"https://www.bing.com/images/search?q=Ingoing+and+Outgoing+Template&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5888.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Ingoing+and+Outgoing+Template","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Ingoing+and+Outgoing+Template&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Excel Application for Incoming and Outgoing Letters","displayText":"Excel Application for Incoming and Outgoing Letters","webSearchUrl":"https://www.bing.com/images/search?q=Excel+Application+for+Incoming+and+Outgoing+Letters&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5890.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Excel+Application+for+Incoming+and+Outgoing+Letters","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Excel+Application+for+Incoming+and+Outgoing+Letters&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Procedure for Handling Incoming and Outgoing Communications","displayText":"Procedure for Handling Incoming and Outgoing Communications","webSearchUrl":"https://www.bing.com/images/search?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5892.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"What Are Predicates in Discreete Math","displayText":"What Are Predicates in Discreete Math","webSearchUrl":"https://www.bing.com/images/search?q=What+Are+Predicates+in+Discreete+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5894.1","searchLink":"https://www.bing.com/api/v7/images/search?q=What+Are+Predicates+in+Discreete+Math","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=What+Are+Predicates+in+Discreete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Restoration of Incoming and Outgoing Calls","displayText":"Restoration of Incoming and Outgoing Calls","webSearchUrl":"https://www.bing.com/images/search?q=Restoration+of+Incoming+and+Outgoing+Calls&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5896.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Restoration+of+Incoming+and+Outgoing+Calls","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Restoration+of+Incoming+and+Outgoing+Calls&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Converse Inverse Contrapositve Negatii Discrete Math","displayText":"Converse Inverse Contrapositve Negatii Discrete Math","webSearchUrl":"https://www.bing.com/images/search?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5898.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"What Is Discrete Math Python Example","displayText":"What Is Discrete Math Python Example","webSearchUrl":"https://www.bing.com/images/search?q=What+Is+Discrete+Math+Python+Example&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5900.1","searchLink":"https://www.bing.com/api/v7/images/search?q=What+Is+Discrete+Math+Python+Example","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=What+Is+Discrete+Math+Python+Example&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Procedures in Handling Incoming and Outgoing Communications","displayText":"Procedures in Handling Incoming and Outgoing Communications","webSearchUrl":"https://www.bing.com/images/search?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5902.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming vs Outgoing Communication Systems Slide PowerPoint Presentation","displayText":"Incoming vs Outgoing Communication Systems Slide PowerPoint Presentation","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5904.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Discrete Mathematics Computer Science Distinct Nature Numbers Are Not Continuous","displayText":"Discrete Mathematics Computer Science Distinct Nature Numbers Are Not Continuous","webSearchUrl":"https://www.bing.com/images/search?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5906.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous","thumbnail":{"thumbnailUrl":"https://tse2.mm.bing.net/th?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Outgoing and Incoming Mean","displayText":"Outgoing and Incoming Mean","webSearchUrl":"https://www.bing.com/images/search?q=Outgoing+and+Incoming+Mean&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5908.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Mean","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Mean&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming Current vs Outgoin","displayText":"Incoming Current vs Outgoin","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+Current+vs+Outgoin&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5910.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+Current+vs+Outgoin","thumbnail":{"thumbnailUrl":"https://tse4.mm.bing.net/th?q=Incoming+Current+vs+Outgoin&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Monthly Ingoing and Outgoing Spreadsheet Idea","displayText":"Monthly Ingoing and Outgoing Spreadsheet Idea","webSearchUrl":"https://www.bing.com/images/search?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5912.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming vs Outgoing Process Flow Chart","displayText":"Incoming vs Outgoing Process Flow Chart","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Process+Flow+Chart&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5914.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Process+Flow+Chart","thumbnail":{"thumbnailUrl":"https://tse1.mm.bing.net/th?q=Incoming+vs+Outgoing+Process+Flow+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}},{"text":"Incoming and Outgoing Telephone Calls and Complete Checklist","displayText":"Incoming and Outgoing Telephone Calls and Complete Checklist","webSearchUrl":"https://www.bing.com/images/search?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist&FORM=IRPATC","webSearchUrlPingSuffix":"images.LB.1,5916.1","searchLink":"https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist","thumbnail":{"thumbnailUrl":"https://tse3.mm.bing.net/th?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1"}}],"createdate":1779006078055}
            [curl_error] => 
            [product_name_used] => Outgoing-Vs-Incoming-In-Discrete-Math-Examples
            [parsed] => Array
                (
                    [name] => outgoing-vs-incoming-in-discrete-math-examples inr loc:in
                    [totalEstimatedMatches] => 81
                    [nextOffset] => 81
                    [currentOffset] => 0
                    [value] => Array
                        (
                            [E553AA0E46564DF833C885EE59BCEA16F086CB01] => Array
                                (
                                    [name] => Recurrence Relations - Combinatorics - Discrete Mathematics
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.aLQ8eOcqAsENvD7XaRs79AHaIJ?r=0&pid=Api
                                    [datePublished] => 2023-09-23T10:40:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/n0kbTMg.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/recurrence-relations-50651/
                                    [contentSize] => 58034 B
                                    [width] => 563
                                    [height] => 619
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.68b43c78e72a02c10dbc3ed7691b3bf4?rik=XjWq4GRl1I8zjA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 10BC680F61AECB95EE588C338FD46564E0AA355E
                                    [accentColor] => 60656B
                                )

                            [00262309D544B750B9B603C2970028D4DD072B20] => Array
                                (
                                    [name] => Permutation and Combinations - Combinatorics - Discrete Mathematics
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.dD-j3IEaFGD85Yu8zwdBpwAAAA?r=0&pid=Api
                                    [datePublished] => 2023-09-21T21:33:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/FbQFMgB.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/permutation-and-combinations-50650/
                                    [contentSize] => 34062 B
                                    [width] => 432
                                    [height] => 418
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.743fa3dc811a1460fce58bbccf0741a7?rik=AGIykF1EewWbaw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 02B270DD4D8200792C306B9B057B445D90326200
                                    [accentColor] => 61666A
                                )

                            [5CEAE6732090977B0DCB4EC9E32D8A71B889586A] => Array
                                (
                                    [name] => Generating Functions - Combinatorics - Discrete Mathematics
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.m1exME1KxJCgk6p86OFdWAHaGJ?r=0&pid=Api
                                    [datePublished] => 2023-09-23T19:47:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/bCRpoHD.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/generating-functions-50653/
                                    [contentSize] => 43774 B
                                    [width] => 524
                                    [height] => 435
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.9b57b1304d4ac490a093aa7ce8e15d58?rik=xa5uNwIJebfQvA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A685988B17A8D23E9CE4BCD0B7790902376EAEC5
                                    [accentColor] => 5F676C
                                )

                            [552DEEFB2FAC25DAF9C119E6D94644161F588547] => Array
                                (
                                    [name] => Rules of Inference - Logic and Proofs - Discrete Mathematics
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.Pi0C4qvyMWqOO6ee236O8gHaKk?r=0&pid=Api
                                    [datePublished] => 2023-09-21T10:26:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/lx5AUfB.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/rules-of-inference-50642/
                                    [contentSize] => 106534 B
                                    [width] => 567
                                    [height] => 809
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.3e2d02e2abf2316a8e3ba79edb7e8ef2?rik=VdLuv%2fLKUq2fHA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 745885F16144649D6E911C9FAD52CAF2BFEED255
                                    [accentColor] => 5A6671
                                )

                            [01404003326ED8022507405247BD78C8621BCCFA] => Array
                                (
                                    [name] => Predicates and Quantifiers - Logic and Proofs - Discrete Mathematics
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.0zWLVTA7ttzGgAqnI5hjkwHaFB?r=0&pid=Api
                                    [datePublished] => 2023-09-23T20:21:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/JTrQoPJ.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/predicates-and-quantifiers-50639/
                                    [contentSize] => 57340 B
                                    [width] => 568
                                    [height] => 385
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.d3358b55303bb6dcc6800aa723986393?rik=EAQEMCPmjSBScA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => AFCCB1268C87DB7425047052208DE62330040410
                                    [accentColor] => 5F636C
                                )

                            [4E9498C306C8E151AA5E56521299829FA22F1CCD] => Array
                                (
                                    [name] => Groups - Algebraic Structures - Discrete Mathematics
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.AiiNdS-p8UWkHJGUla-VQAHaIM?r=0&pid=Api
                                    [datePublished] => 2023-09-18T21:40:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/RwvDZOu.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/groups-50664/
                                    [contentSize] => 84035 B
                                    [width] => 577
                                    [height] => 639
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.02288d752fa9f145a41c919495af9540?rik=5EmJPGCMHhWq5Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DCC1F22AF92899212565E5AA151E8C603C8949E4
                                    [accentColor] => 556676
                                )

                            [9DAEE6962BD898FCAC16CF9455F6ADB4A1E259BA] => Array
                                (
                                    [name] => Reflexive, Symmetric, Transitive, Equivalence & Number of Relations | AESL
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.mp0TUpRR2R6qz2J2_5XWGwAAAA?r=0&pid=Api
                                    [datePublished] => 2022-10-12T11:21:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/1_58.jpg?0sqVwY9sn4Zj_BV09YQzLN3xcuMqomRV
                                    [hostPageUrl] => https://www.aakash.ac.in/important-concepts/maths/reflexive-symmetric-transitive-equivalence-relation
                                    [contentSize] => 35566 B
                                    [width] => 322
                                    [height] => 312
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.9a9d13529451d91eaacf6276ff95d61b?rik=2epuabKNic%2fKYQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => AB952E1A4BDA6F5549FC61CACF898DB2696EEAD9
                                    [accentColor] => 0E8CBD
                                )

                            [13E6059BD7B9E28F1EB113C081267DD32BC61C28] => Array
                                (
                                    [name] => UNIT 02 - Notes - 18MAB302T: Discrete Mathematics for Engineers Unit ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.Rn9UveLjHbnSNBzczEEeKgHaJl?r=0&pid=Api
                                    [datePublished] => 2023-11-25T23:31:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/c3a3d6039e919f2cd2f758aba50a8fb3/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/srm-institute-of-science-and-technology/discrete-mathematics/unit-02-notes/77613345
                                    [contentSize] => 84513 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.467f54bde2e31db9d2341cdccc411e2a?rik=MW5QuX2bLvjhGw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 82C16CB23DD762180C311BE1F82E9B7DB9506E31
                                    [accentColor] => 464646
                                )

                            [204B49B73739C23490996A9232F6A960ED960C48] => Array
                                (
                                    [name] => Types of Variables - Describing Data | Data Science
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.fwYalzheA1lQsPGK8v_B8gHaE8?r=0&pid=Api
                                    [datePublished] => 2023-09-02T17:49:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/vKzypEO.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/types-of-variables-50589/
                                    [contentSize] => 72697 B
                                    [width] => 609
                                    [height] => 407
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7f061a97385e035950b0f18af2ffc1f2?rik=ArSUe3OTLEMJmQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 84C069DE069A6F2329A69909432C93737B94B402
                                    [accentColor] => 5C666F
                                )

                            [E89F2AA0A442DEA43A0268BF3C5EF52B00154BB0] => Array
                                (
                                    [name] => Discrete and Combinatorial Mathematics , 5e – BookStation
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.-OaVml4IYyRqpktZsmeXgwHaJQ?r=0&pid=Api
                                    [datePublished] => 2024-02-10T20:20:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://bookstation.in/cdn/shop/files/discrete-and-combinatorial-mathematics-an-applied-introduction-original-imafhdy7etzuktzf.jpg?v=1707304618
                                    [hostPageUrl] => https://bookstation.in/products/9789353433055
                                    [contentSize] => 65809 B
                                    [width] => 666
                                    [height] => 832
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f8e6959a5e0863246aa64b59b2679783?rik=jvmiCkok7UqjIA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 0BB45100B25FE5C3FB8620A34AED244A0AA2F98E
                                    [accentColor] => 0991B5
                                )

                            [8843BC361F0F708100F576A8E9EFBCF23FBBFAED] => Array
                                (
                                    [name] => Definitions and Examples of Rings and Fields - Algebraic Structures ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.Hzi855KSNqHMDv1Fv-uMdwHaFM?r=0&pid=Api
                                    [datePublished] => 2023-09-14T15:48:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/o7S4qLU.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/
                                    [contentSize] => 54801 B
                                    [width] => 584
                                    [height] => 410
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1f38bce7929236a1cc0efd45bfeb8c77?rik=iDTLY%2fHwBxgAXw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DEAFBBF32FCBFE9E8A675F001807F0F163CB3488
                                    [accentColor] => 5C6F6F
                                )

                            [419441003C477458D53F851CAAF85F4460F747B6] => Array
                                (
                                    [name] => Module 4 previous question s - Discrete Mathematical Structures - Studocu
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.bJD-1YE1HEHL6O0cJExWzgHaKe?r=0&pid=Api
                                    [datePublished] => 2023-01-13T19:37:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/680560fdc2a72d091f185ba56ace6a4d/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/university-college-of-engineering/discrete-mathematical-structures/module-4-previous-question-s/43781422
                                    [contentSize] => 622450 B
                                    [width] => 1200
                                    [height] => 1698
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.6c90fed581351c41cbe8ed1c244c56ce?rik=FEkUAMN0R4Vd8w&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 6B747F0644F58FAAC158F35D854774C300144914
                                    [accentColor] => 8F3C3F
                                )

                            [0F2F669C9F541B954C0BF61CD0062B6DB5410C9F] => Array
                                (
                                    [name] => Discrete random variable vs continuous random variable - Brainly.in
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.OEQJgh2myZHIGy70EK8WCgHaEB?r=0&pid=Api
                                    [datePublished] => 2018-02-18T19:54:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://hi-static.z-dn.net/files/d80/7dd8298ecc3040c7a1fa83877ab19524.jpg
                                    [hostPageUrl] => https://brainly.in/question/2639594
                                    [contentSize] => 55621 B
                                    [width] => 720
                                    [height] => 391
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.384409821da6c991c81b2ef410af160a?rik=8PJmyflFsVnEsA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F9C0145BD6B2600DC16FB0C459B145F9C966F2F0
                                    [accentColor] => C4A107
                                )

                            [68C5E4AD966DF5C4199DFE81E345C45AE597B8D3] => Array
                                (
                                    [name] => Classification of Signals and Systems - Signal, Elementary Signals
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.6iIdv0Q8bxFsixTzFdbBWgHaEB?r=0&pid=Api
                                    [datePublished] => 2024-04-10T22:56:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images21/9htnCcX.png
                                    [hostPageUrl] => https://ece.poriyaan.in/topic/classification-of-signals-and-systems-20341/
                                    [contentSize] => 464409 B
                                    [width] => 752
                                    [height] => 408
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ea221dbf443c6f116c8b14f315d6c15a?rik=hlxO2mnWX0yR2Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3D8B795EA54C543E18EFD9914C5FD669DA4E5C86
                                    [accentColor] => 4D4642
                                )

                            [A9E6CF3CA842EDF5646C79F47FC1CF4F9206F9B3] => Array
                                (
                                    [name] => PDF Scan 28-08-2023 7 - Fundamentals Of Discrete Mathematics - Studocu
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.kEyGUdFMHs_HnBD9Ekmz9QAAAA?r=0&pid=Api
                                    [datePublished] => 2023-10-03T14:03:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b773d6b4128eaf4f13c8bfff832cc265/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/sanjay-ghodawat-university/fundamentals-of-discrete-mathematics/pdf-scan-28-08-2023-7/71273289
                                    [contentSize] => 814228 B
                                    [width] => 474
                                    [height] => 670
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.904c8651d14c1ecfc79c10fd1249b3f5?rik=mm78w4ok3l9Gxg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3B9F6029F4FC1CF74F97C6465FDE248AC3FC6E9A
                                    [accentColor] => 525960
                                )

                            [D2775B7D542AEC80BE30E2469A0FD6668ECAFC26] => Array
                                (
                                    [name] => Introductory Discrete Mathematics (Dover Books on Computer Science ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.4e3Ydtcf9HNfqNudUHp1aAHaKY?r=0&pid=Api
                                    [datePublished] => 2012-04-30T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/819hcg8BY8L._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Introductory-Discrete-Mathematics-Computer-Science-ebook/dp/B00EZDHVA0
                                    [contentSize] => 95562 B
                                    [width] => 1070
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e1edd876d71ff4735fa8db9d507a7568?rik=LXe110WizgjrAw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 62CFACE8666DF0A9642E03EB08CEA245D7B5772D
                                    [accentColor] => CB0068
                                )

                            [23BC3BC3FCFCF4AFD2496334C60E713D4261FD5F] => Array
                                (
                                    [name] => Discuss The Difference Between a Discrete & A Continuous Probability ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.vlEdD6_4rrPLYq6uMd-epgHaD4?r=0&pid=Api
                                    [datePublished] => 2023-07-01T02:11:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://fairgaze.com/images/UploadedImages/thumbs/0298444_0298444_xec.png
                                    [hostPageUrl] => https://fairgaze.com/generalnews/discuss-the-difference-between-a-discrete-a-continuous-probability-distribution.html
                                    [contentSize] => 21950 B
                                    [width] => 600
                                    [height] => 314
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.be511d0faff8aeb3cb62aeae31df9ea6?rik=MsuzPM%2fPT%2fotlA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F5DF1624D317E06C4336942DFA4FCFCF3CB3CB32
                                    [accentColor] => 262626
                                )

                            [5AB3101EFFFA6BDC1571EB836B353A4E300AE829] => Array
                                (
                                    [name] => DISCRETE MATHEMATICS AND ITS APPLICATIONS, 8TH EDITION : ROSEN, KENNETH ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.6d3BztuY1jhbntB2nddhewHaKB?r=0&pid=Api
                                    [datePublished] => 2021-08-01T16:07:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/81Vgo2Om+ML._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/DISCRETE-MATHEMATICS-ITS-APPLICATIONS-8TH/dp/9390727359
                                    [contentSize] => 139385 B
                                    [width] => 1109
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e9ddc1cedb98d6385b9ed0769dd7617b?rik=pTsB4f%2bvts1RFw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 928EA003E4A353B638BE1751CDB6AFFFE1013BA5
                                    [accentColor] => C20910
                                )

                            [85173E519815027CB060FD0ACEE7B53ACC2C416F] => Array
                                (
                                    [name] => U1-PCNF and PDNF - PCNF and PDNF - 1 Discrete Mathematics p q p r p q p ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.7kUtNoRosBBVP2mv8nVJlQHaLc?r=0&pid=Api
                                    [datePublished] => 2022-11-29T19:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/7ac58ed1d45111b69174cb47b6d5e2ce/thumb_1200_1855.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/rajiv-gandhi-proudyogiki-vishwavidyalaya/discrete-structure/u1-pcnf-and-pdnf-pcnf-and-pdnf/38918923
                                    [contentSize] => 152736 B
                                    [width] => 1200
                                    [height] => 1855
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ee452d368468b010553f69aff2754995?rik=WHHjFYlRIMcLBg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F614C2CCA35B7EECA0DF060BC720518915E37158
                                    [accentColor] => 424242
                                )

                            [3575B3DA9F1F61C59DDE51ADBBB3D0D58080D087] => Array
                                (
                                    [name] => Discrete Mathematics
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.OokBNVvg86tV6DemF_pxhgHaJs?r=0&pid=Api
                                    [datePublished] => 2019-06-17T20:33:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.vikaspublishing.com/uploads/bookimages/vikas-books/9788125913627.jpg
                                    [hostPageUrl] => https://www.vikaspublishing.com/books/engineering/core-engineering/discrete-mathematics/9788125913627/
                                    [contentSize] => 1116610 B
                                    [width] => 2177
                                    [height] => 2850
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.3a8901355be0f3ab55e837a617fa7186?rik=U1c7rfnxFlzZ7Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 780D08085D0D3BBBDA15EDD95C16F1F9AD3B5753
                                    [accentColor] => A5A026
                                )

                            [08D753ECF03A67602A4C1DCF5D35818A1DD42ECC] => Array
                                (
                                    [name] => Complement of Graph - Notes - Complement of Graph in Discrete ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.NZAK7MVqK1WMVm3PY9AY-AHaJl?r=0&pid=Api
                                    [datePublished] => 2023-02-14T19:07:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b20f4dd2157570352b3f58a1d8daa24d/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/complement-of-graph-notes/47175846
                                    [contentSize] => 208395 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.35900aecc56a2b558c566dcf63d018f8?rik=gH01zg%2bjdgaixA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => CCE24DD1A81853D5FCD1C4A20676A30FCE357D80
                                    [accentColor] => 142139
                                )

                            [E084AA839DFEA68BE44E0250299665ED06D2679B] => Array
                                (
                                    [name] => Discrete Mathematics With Graph Theroy And Combinatorics | By T ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.FEShhEZ8b5FKsjsiNlWj7wHaHa?r=0&pid=Api
                                    [datePublished] => 2023-06-15T10:48:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEi9g-sWswizPddGZ5oDtKUVquDbxYUfX_gS2hfV1fRqCzkNnuBdRMtpxcGI1fYpjnY5smSr1iwTgOtkhNvUEyFV1Qeu4JfghoMuz0R7XRYHRTMEEFcWsIg-s5xZJ3piZ2INr6sq-aMYHjJclI6lc5qH5sbOgZ5F2zRFYxuOkgl9X-tI2o6t0s5AHB5x992l/w1200-h630-p-k-no-nu/349.jpg
                                    [hostPageUrl] => https://shop.exam360.in/2023/06/discrete-mathematics-with-graph-theroy.html
                                    [contentSize] => 57487 B
                                    [width] => 555
                                    [height] => 555
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1444a184467c6f914ab23b223655a3ef?rik=DkiqONnvarhO5A&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => B9762D60DE5669920520E44EB86AEFD938AA480E
                                    [accentColor] => C7A404
                                )

                            [3C7FC3CED0D5A0B545DAA14BDB5052841A2E7091] => Array
                                (
                                    [name] => DM Notes-1 - Handwritten notes - Discrete mathematics - Studocu
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.PjqfEPNJI7_EEbFWD2KpZQHaKe?r=0&pid=Api
                                    [datePublished] => 2023-06-29T17:44:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/10fdb19b8cf3fd8e3e6383be122d3134/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/pcte-group-of-institutes/discrete-mathematics/dm-notes-1-handwritten-notes/55281662
                                    [contentSize] => 750344 B
                                    [width] => 1200
                                    [height] => 1698
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.3e3a9f10f34923bfc411b1560f62a965?rik=w%2fc87A1dCltUrQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 1907E2A1482505BDB41AAD545B0A5D0DEC3CF7C3
                                    [accentColor] => 7A5161
                                )

                            [BC9EFCD681B242406D3100B9A33B27622CD42516] => Array
                                (
                                    [name] => KS2 Discrete and Continuous Data Display Poster
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.CgN0dCA4RtSIuS8lIMzivAHaDt?r=0&pid=Api
                                    [datePublished] => 2020-07-19T12:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/85/7c/t2-m-17204-ks2-discrete-and-continuous-data-display-poster-english_ver_3.jpg
                                    [hostPageUrl] => https://www.twinkl.co.in/resource/t2-m-17204-ks2-discrete-and-continuous-data-display-poster
                                    [contentSize] => 40007 B
                                    [width] => 630
                                    [height] => 315
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.0a037474203846d488b92f2520cce2bc?rik=y%2bnPbRgrJATWEw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 61524DC22672B33A9B0013D604242B186DCFE9CB
                                    [accentColor] => 00943D
                                )

                            [E472DCB85352FB28F4DE77371613A3A3FBB5123F] => Array
                                (
                                    [name] => Hamiltonian Graph, Nodes and height - Hamiltonian Graph in Discrete ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.J18UleMIEoYp_ZSmL6cJuQHaJl?r=0&pid=Api
                                    [datePublished] => 2023-02-08T20:34:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/27c7fc5a8a497052ca32052687e0d087/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/hamiltonian-graph-nodes-and-height/46271142
                                    [contentSize] => 260882 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.275f1495e308128629fd94a62fa709b9?rik=TifNizUlv4JP7Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F3215BBF3A3A31617377ED4F82BF25358BCD274E
                                    [accentColor] => 654B17
                                )

                            [4D45059442E896EB02CFFA1572619D728C51B0EE] => Array
                                (
                                    [name] => Buy A Text Book of Discrete Mathematics Book Online at Low Prices in ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.Tz0E1SAhl23idC3zbVdQSQHaKS?r=0&pid=Api
                                    [datePublished] => 2005-06-01T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/61H0eB23grL._SL1400_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Text-Book-Discrete-Mathematics/dp/8121922321
                                    [contentSize] => 112622 B
                                    [width] => 1007
                                    [height] => 1400
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4f3d04d52021976de2742df36d575049?rik=1FRQSSSOab4g%2fA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => EE0B15C827D9162751AFFC20BE698E24495054D4
                                    [accentColor] => 0879C3
                                )

                            [44D4065DE48D15BF77236BDDDF3B6B1176D630D4] => Array
                                (
                                    [name] => Discrete Mathematics - combinatorics - Structure 3 Introduction ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.B64OR7wYRfORNpdwadvGswHaKe?r=0&pid=Api
                                    [datePublished] => 2022-09-15T06:11:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/771914997bd7acc34c018e4477ddf3c5/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/sikkim-manipal-university/discrete-mathematics/discrete-mathematics-combinatorics/33329706
                                    [contentSize] => 325719 B
                                    [width] => 1200
                                    [height] => 1698
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.07ae0e47bc1845f39136977069dbc6b3?rik=RE1g1U7YUft3Mg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 4D036D6711B6B3FDDDB63277FB51D84ED5604D44
                                    [accentColor] => 424247
                                )

                            [52973F44FCA4E5EA4918FF3105F54FBCA9DB5D7A] => Array
                                (
                                    [name] => PDNF and PCNF - Notes - PDNF and PCNF in Discrete Mathematics To ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.vIIHP-aNtZ90AYWiypg47QHaJl?r=0&pid=Api
                                    [datePublished] => 2023-03-17T18:21:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/9cc51e8a13904b770178c5a3e19eb11e/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/pdnf-and-pcnf-notes/48482191
                                    [contentSize] => 141411 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.bc82073fe68db59f740185a2ca9838ed?rik=JXnzRM9KXq6UgQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A7D5BD9ACBF45F5013FF8194AE5E4ACF44F37925
                                    [accentColor] => 2D2D2D
                                )

                            [B7C542D4450FC2CFBFAA76A8E9EFBCF23FBBFAED] => Array
                                (
                                    [name] => Definitions and Examples of Rings and Fields - Algebraic Structures ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.fwpUX7fqppP0vN3wyI-VVQAAAA?r=0&pid=Api
                                    [datePublished] => 2023-09-14T15:48:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/cata/size/img-Discr-Qp.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/
                                    [contentSize] => 262402 B
                                    [width] => 474
                                    [height] => 266
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7f0a545fb7eaa693f4bcddf0c88f9555?rik=e1wkTVTwLPz7qg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DEAFBBF32FCBFE9E8A67AAFBFC2CF0544D245C7B
                                    [accentColor] => 1A9BB1
                                )

                            [41C822A18C5C87859F8F11C2C63E32A20733C336] => Array
                                (
                                    [name] => Discrete Mathematics (Schaum's Outlines) | Revised 3rd Edition ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP._TUvhfbtsSxzBdHCXwbipwHaKC?r=0&pid=Api
                                    [datePublished] => 2017-05-19T19:14:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/71kohGylsyL._SL1100_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Schaums-Outlines-SIE/dp/1259062538
                                    [contentSize] => 149797 B
                                    [width] => 812
                                    [height] => 1100
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.fd352f85f6edb12c7305d1c25f06e2a7?rik=FIwiGsjFeFj5%2bA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 633C33702A23E36C2C11F8F95878C5C81A228C14
                                    [accentColor] => C27109
                                )

                            [88974EB1F06C583A46270F90E9AEE24236583F80] => Array
                                (
                                    [name] => Discrete Mathematics Summary Course
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.Fy5wPC2L2qx01V0iVtoDsgHaE8?r=0&pid=Api
                                    [datePublished] => 2025-12-06T10:47:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d502jbuhuh9wk.cloudfront.net/courses/625613d10cf2ad8d82475130/625613d10cf2ad8d82475130_scaled_cover.jpg?v=2
                                    [hostPageUrl] => https://www.goclasses.in/s/store/package/625da6630cf2daf7eb3a35af/courses/Discrete-Mathematics-Summary-GATE_PYQs-Practice-Course
                                    [contentSize] => 57674 B
                                    [width] => 600
                                    [height] => 400
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.172e703c2d8bdaac74d55d2256da03b2?rik=iHnkGw%2fGhaNkcg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 08F38563242EEA9E09F07264A385C60F1BE47988
                                    [accentColor] => C06C0B
                                )

                            [F01D6AF5FDFD59934824D4C191C018F7EECF7DB9] => Array
                                (
                                    [name] => Buy Discrete Mathematics Book Online at Low Prices in India | Discrete ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.8jdizNVY4ABAyyzDUMnB7gAAAA?r=0&pid=Api
                                    [datePublished] => 2015-05-31T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/51V9BKD4sEL._SX342_SY445_ML2_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Quick-Study-Academic/dp/1423224884
                                    [contentSize] => 29847 B
                                    [width] => 342
                                    [height] => 442
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f23762ccd558e00040cb2cc350c9c1ee?rik=D9GmX9%2fflTmEQg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 9BD7FCEE7F810C191C4D42843995DFDF5FA6D10F
                                    [accentColor] => A1552A
                                )

                            [29B993CEBBD923663CC78631A11926830137453B] => Array
                                (
                                    [name] => Discrete Mathematics
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.ongW42_fhzOe1eg32wh8GAHaE8?r=0&pid=Api
                                    [datePublished] => 2023-02-25T16:04:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d502jbuhuh9wk.cloudfront.net/courses/63f9aa9be4b0a8a370cfb0ad/63f9aa9be4b0a8a370cfb0ad_scaled_cover.jpg?v=12
                                    [hostPageUrl] => https://www.goclasses.in/courses/63f9aa9be4b0a8a370cfb0ad
                                    [contentSize] => 24578 B
                                    [width] => 600
                                    [height] => 400
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a27816e36fdf87339ed5e837db087c18?rik=kps57LudMmbDfA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => B35473103862911A13687CC366329DBBEC399B92
                                    [accentColor] => BD9F0E
                                )

                            [1DE625591C4AEA795FB165AECCCFDBBC2A311E71] => Array
                                (
                                    [name] => Discrete Math Structures 6e International Edition India | Ubuy
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.h0IptLRyzUsuQqc8m4hz4AAAAA?r=0&pid=Api
                                    [datePublished] => 2025-06-14T12:23:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images-cdn.ubuy.co.in/669e81c422829f7b9810e7fb-discrete-mathematical-structures-by.jpg
                                    [hostPageUrl] => https://www.ubuy.co.in/product/46YLZLV2G-discrete-mathematical-structures-6e-int-039-l-edition
                                    [contentSize] => 31431 B
                                    [width] => 381
                                    [height] => 500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.874229b4b472cd4b2e42a73c9b8873e0?rik=0W5SlcGkrpf1Gw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 17E113A2CBBDFCCCEA561BF597AEA4C195526ED1
                                    [accentColor] => 033066
                                )

                            [0046C9A60B4437D5DE815DBDBF44433C11F187A6] => Array
                                (
                                    [name] => Inbound vs Outbound Call Centres: Differences
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.bL8PQ9zoLjN-XbSh30b5hAHaGF?r=0&pid=Api
                                    [datePublished] => 2023-08-14T07:53:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://cdn.prod.website-files.com/61b6d36e8f52d840c65c7d07/66af22bc02c3453fc6a14790_64cf9522a4c3594f6d9b34cf_Diffrences%2520Betweeen%2520Inbound%2520and%2520Outbound%2520call%2520centers.jpeg
                                    [hostPageUrl] => https://www.squadstack.ai/blog/inbound-vs-outbound-call-centres-differences
                                    [contentSize] => 877537 B
                                    [width] => 2487
                                    [height] => 2042
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.6cbf0f43dce82e337e5db4a1df46f984?rik=AGScarBEc13tGA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 6A781F11C33444FBDBD518ED5D7344B06A9C6400
                                    [accentColor] => 2773A4
                                )

                            [F25281E19E6D68441C40982CC024C4D169CBCD35] => Array
                                (
                                    [name] => Draw a diagram to explain the heat budget of the earth. - Brainly.in
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.3hrq5G9-QDNSUYJbkS65TwHaGT?r=0&pid=Api
                                    [datePublished] => 2021-09-01T17:37:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://hi-static.z-dn.net/files/d9e/e6f91c8b06a36ebf61892bf3f9bde0b2.jpg
                                    [hostPageUrl] => https://brainly.in/question/13321347
                                    [contentSize] => 132891 B
                                    [width] => 1080
                                    [height] => 920
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.de1aeae46f7e40335251825b912eb94f?rik=LyUYHunWhkTBBA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 53DCBC961D4C420CC28904C14486D6E91E18252F
                                    [accentColor] => 06659C
                                )

                            [77358A0E66597000F5246690E790A607E36E926F] => Array
                                (
                                    [name] => Buy Discrete Mathematics by Example Book Online at Low Prices in India ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.oy0Z_mxzB1PYFnybMFJRnQAAAA?r=0&pid=Api
                                    [datePublished] => 2025-06-30T15:27:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/4145tSWwR0L._SY445_SX342_ML2_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Example-Andrew-Simpson/dp/0077098404
                                    [contentSize] => 20365 B
                                    [width] => 342
                                    [height] => 445
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a32d19fe6c730753d8167c9b3052519d?rik=d1Oo4GaVBwBfQg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F629E63E706A097E0966425F00079566E0A85377
                                    [accentColor] => 110466
                                )

                            [80817686040AF42B1DA7B32A92E984AC48CB422C] => Array
                                (
                                    [name] => What separates discrete manufacturing from process manufacturing?
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.Hn0gi7cQNzbo1dW1bmWANAHaEK?r=0&pid=Api
                                    [datePublished] => 2025-03-03T04:47:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://www.leapingfrogconsulting.com/uploads/editorimages/product%20manufacturing.png
                                    [hostPageUrl] => http://www.leapingfrogconsulting.com/blog/what-separates-discrete-manufacturing-from-process-manufacturing
                                    [contentSize] => 224947 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1e7d208bb7103736e8d5d5b56e658034?rik=CBhnaECgT7LReg&riu=http%3a%2f%2fwww.leapingfrogconsulting.com%2fuploads%2feditorimages%2fproduct+manufacturing.png&ehk=NiL4h%2bhvdBLAYk9Xvvww3lZTXDcJh%2bodX%2bfx2UnPX%2b0%3d&risl=&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => C224BC84CA489E29A23B7AD1B24FA04068671808
                                    [accentColor] => CB9100
                                )

                            [9082C0C6BD3296F602EB76A8E9EFBCF23FBBFAED] => Array
                                (
                                    [name] => Definitions and Examples of Rings and Fields - Algebraic Structures ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.stKR_xpGXjWRu9-2z2X6zQHaEK?r=0&pid=Api
                                    [datePublished] => 2023-09-14T15:48:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.poriyaan.in/media/design/icon2.jpg
                                    [hostPageUrl] => https://cse.poriyaan.in/topic/definitions-and-examples-of-rings-and-fields-50667/
                                    [contentSize] => 31102 B
                                    [width] => 800
                                    [height] => 450
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.b2d291ff1a465e3591bbdfb6cf65facd?rik=CSgMbNsjaW8gvg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DEAFBBF32FCBFE9E8A67BE206F6923DB6C0C2809
                                    [accentColor] => 91B912
                                )

                            [26D7F29DD6FA5708CA860D4F350FC652D5AB8D5B] => Array
                                (
                                    [name] => Set Theory & Algebra: set theory
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.rhFc4uaDygxxbkQQjBmdpwHaDg?r=0&pid=Api
                                    [datePublished] => 2019-05-12T03:05:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://gateoverflow.in/?qa=blob&qa_blobid=18191037133881223458
                                    [hostPageUrl] => https://gateoverflow.in/122274/set-theory
                                    [contentSize] => 27288 B
                                    [width] => 600
                                    [height] => 284
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ae115ce2e683ca0c716e44108c199da7?rik=Yn0v2W2vdYCsaA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => B5D8BA5D256CF053F4D068AC8075AF6DD92F7D62
                                    [accentColor] => 4C5E6D
                                )

                            [48DD117263FAD872BD63C1CB5D34CC14B7E280F8] => Array
                                (
                                    [name] => DST- Modelpaper-2 - Maths question bank - Bangalore University I ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.Lm8ltsToFFZ7mozldQrbMAHaJl?r=0&pid=Api
                                    [datePublished] => 2022-06-14T02:30:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/90ebda9fcae97f9ebc164a3cca0a7c2f/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/bangalore-university/bachelor-of-computer-applications/dst-modelpaper-2-maths-question-bank/28965620
                                    [contentSize] => 204065 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.2e6f25b6c4e814567b9a8ce5750adb30?rik=hN0RJzavjSfbNg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 8F082E7B41CC43D5BC1C36DB278DAF362711DD84
                                    [accentColor] => 828200
                                )

                            [4C4B0B185E9026CD17DD50EA4F75DCBFDE664BD7] => Array
                                (
                                    [name] => Associative Law and Conjuction - Associative Law in Discrete ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.yWrCdU6VEZ5DCBB0oLCCUgHaJl?r=0&pid=Api
                                    [datePublished] => 2023-02-13T02:37:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/91bdb55cd37460b8477e46823d970fb7/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/associative-law-and-conjuction/46677062
                                    [contentSize] => 154918 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.c96ac2754e95119e43081074a0b08252?rik=xLSwgeUJYtxx3Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 7DB466EDFBCD57F4AE05DD71DC6209E581B0B4C4
                                    [accentColor] => 232323
                                )

                            [AA25C66A32C900CDB3589FE14BCAF962682DD667] => Array
                                (
                                    [name] => Discrete Mathematics and Its Applications: Buy Discrete Mathematics and ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.sA1PjhSSyNvUEYnWecACtAHaJ6?r=0&pid=Api
                                    [datePublished] => 2015-03-11T04:28:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://rukminim2.flixcart.com/image/832/832/jsdj8nk0/book/8/8/0/discrete-mathematics-and-its-applications-original-imafdyhgmhq6zkmk.jpeg?q=70&crop=false
                                    [hostPageUrl] => https://www.flipkart.com/discrete-mathematics-its-applications-combinatorics-graph-theory-english-7th/p/itmdwxxszhczjrnf
                                    [contentSize] => 60512 B
                                    [width] => 622
                                    [height] => 832
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.b00d4f8e1492c8dbd41189d679c002b4?rik=qlJspiOcANw7hQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 766DD286269FACB41EF9853BDC009C23A66C52AA
                                    [accentColor] => 0F4670
                                )

                            [5F07528209FDDE4520738D72E6305F40E29F8CB1] => Array
                                (
                                    [name] => Buy Discrete Mathematics for Computer Science: An Example-Based ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.yXwU23ndwbFD8xzIfAvvPgAAAA?r=0&pid=Api
                                    [datePublished] => 2021-03-29T16:30:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/51hkDutEZfL._SY445_SX342_ML2_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Computer-Science-Example-Based/dp/0367549883
                                    [contentSize] => 40139 B
                                    [width] => 312
                                    [height] => 445
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.c97c14db79ddc1b143f31cc87c0bef3e?rik=9XAlKJDf7VQCNw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 1BC8F92E04F5036E27D8370254EDDF90282570F5
                                    [accentColor] => 0F1E33
                                )

                            [159721EF8865A43C296A5AD36C90AAA739C3EF8C] => Array
                                (
                                    [name] => MTH 401 DISCRETE MATHEMATICS - My Blog
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.94nr5KkdrwRuDG9G0vFm5wHaE8?r=0&pid=Api
                                    [datePublished] => 2025-03-02T00:32:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://qqbscpfkecykuadtjgsv.supabase.co/storage/v1/object/public/blog-featured-images/default-story.png
                                    [hostPageUrl] => https://somana.in/story/mth-401-discrete-mathematics-67b17f0f0f7f27326ee576fd
                                    [contentSize] => 139112 B
                                    [width] => 2402
                                    [height] => 1606
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f789ebe4a91daf046e0c6f46d2f166e7?rik=UXkS%2fohWSsOSpg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => C8FE3C937AAA09C63DA5A692C34A5688FE127951
                                    [accentColor] => 666666
                                )

                            [0500269731A4231A7985A19C0EC4556533E8F937] => Array
                                (
                                    [name] => Buy Discrete Mathematics with Graph Theory (Featured Titles for ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.tWcyoCCSy_0SDwwq1GIbHQAAAA?r=0&pid=Api
                                    [datePublished] => 2005-06-24T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/31v0RaBvbXL.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Theory-Featured-Titles/dp/0131679953
                                    [contentSize] => 11835 B
                                    [width] => 180
                                    [height] => 245
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.b56732a02092cbfd120f0c2ad4621b1d?rik=UABieRNKMqGXWA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 739F8E3356554CE0C91A5897A1324A1379620050
                                    [accentColor] => 0A76B9
                                )

                            [21DF07F6CD218DD558A63F825B3C0642BACA8BB4] => Array
                                (
                                    [name] => Buy Discrete Mathematics and Its Applications (Higher Math) Book Online ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.p-ouIUvAEjwFy-B51Sw3ZAHaJL?r=0&pid=Api
                                    [datePublished] => 2012-08-16T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/61UWYvar6eL._SL1000_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Applications-Kenneth-Rosen/dp/0073383090
                                    [contentSize] => 76029 B
                                    [width] => 807
                                    [height] => 1000
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a7ea2e214bc0123c05cbe079d52c3764?rik=Ev1wb9wS2F2Fag&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 4BB8ACAB2460C3B528F36A855DD812DC6F70FD12
                                    [accentColor] => A1632A
                                )

                            [131660EF519945A854662F33359B909FE756735A] => Array
                                (
                                    [name] => Maths notes - Discrete mathematics - Studocu
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.EweK9WTTEV-hzUGPSxzIOwHaKe?r=0&pid=Api
                                    [datePublished] => 2023-06-07T17:52:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/c0808c15c0a8b4b742fe1e827b25f7c5/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/pcte-group-of-institutes/discrete-mathematics/maths-notes/55281679
                                    [contentSize] => 1592167 B
                                    [width] => 1200
                                    [height] => 1698
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.13078af564d3115fa1cd418f4b1cc83b?rik=MWEG%2fhWZVIpFZg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A537657EF909B95333F266458A549915FE066131
                                    [accentColor] => 746858
                                )

                            [7216F47E8502D325CE92EA3B70981F2E4EBBAAC3] => Array
                                (
                                    [name] => Textbook Of Discrete Mathematics - For B. E./B. Tech., B. Sc and M. Sc ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.b0XmaauRrJH0ZajhO8ZwkwHaKt?r=0&pid=Api
                                    [datePublished] => 2019-05-12T00:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://rukminim1.flixcart.com/image/832/832/kjlrb0w0-0/book/e/i/2/textbook-of-discrete-mathematics-original-imafz5yempubjdas.jpeg?q=70
                                    [hostPageUrl] => https://www.flipkart.com/textbook-discrete-mathematics-b-e-b-tech-sc-m-sc-computer-science-bca-mca-other-computer-related-professional-courses/p/itmdytgawatqntxz
                                    [contentSize] => 49711 B
                                    [width] => 575
                                    [height] => 832
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.6f45e669ab91ac91f465a8e13bc67093?rik=J2FP51ggPVLsKQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3CAABBE4E2F18907B3AE29EC523D2058E74F6127
                                    [accentColor] => 0892C3
                                )

                            [0DA0897A34F3B65133581FFE5F27CFCCE1714B19] => Array
                                (
                                    [name] => DISCRETE MATHEMATICS : Babu Ram: Amazon.in: Books
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.RDXZXn1qbjl7zvZoawMzgwAAAA?r=0&pid=Api
                                    [datePublished] => 2017-10-15T17:38:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/41ZUTV+xaeL._SY445_SX342_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-1e-Babu-Ram/dp/8131733106
                                    [contentSize] => 20241 B
                                    [width] => 330
                                    [height] => 445
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4435d95e7d6a6e397bcef6686b033383?rik=0AqYp0M%2faxUzhQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 91B4171ECCFC72F5EFF18533156B3F43A7980AD0
                                    [accentColor] => 2F759C
                                )

                            [DB0B4DBB43D16434D19EF05881826B7ADC97998A] => Array
                                (
                                    [name] => Buy Discrete Mathematics With Applications Book Online at Low Prices in ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.B1uhrQQsIVwrQNdfVyZrHAHaJ2?r=0&pid=Api
                                    [datePublished] => 2025-01-22T16:51:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/81MRlAXRM8L._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Applications-Susanna-Epp/dp/0495391328
                                    [contentSize] => 120664 B
                                    [width] => 1127
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.075ba1ad042c215c2b40d75f57266b1c?rik=vbDUuzQdRkMd6Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A89979CDA7B62818850FE91D43461D34BBD4B0BD
                                    [accentColor] => 2D4B88
                                )

                            [A776BA1B800857CD9BC246A377B2D45C5F85CD80] => Array
                                (
                                    [name] => Introduction to Graph - Data Structures Tutorial | Study Glance
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.bbDTVqAJotx7VpKHaMrWhgHaCz?r=0&pid=Api
                                    [datePublished] => 2023-12-21T01:23:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://studyglance.in/ds/images/Types-of-graphs.jpg
                                    [hostPageUrl] => https://studyglance.in/ds/display.php?tno=32&topic=Introduction-to-Graph
                                    [contentSize] => 721264 B
                                    [width] => 2482
                                    [height] => 942
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.6db0d356a009a2dc7b56928768cad686?rik=emersQiAddy5LA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 08DC58F5C54D2B773A642CB9DC758008B1AB677A
                                    [accentColor] => 227DA9
                                )

                            [FB94541F607123911A6736CDF91F4B2A66758E11] => Array
                                (
                                    [name] => Airtel vs Reliance Jio: Top carrier launches new international roaming ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.BNlEdBGIq40v35QXhudo4AHaEw?r=0&pid=Api
                                    [datePublished] => 2016-10-26T09:40:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://data1.ibtimes.co.in/en/full/602348/airtel-vs-reliance-jio.jpg
                                    [hostPageUrl] => https://www.ibtimes.co.in/airtel-vs-reliance-jio-top-carrier-launches-new-international-roaming-pack-unlimited-incoming-701328
                                    [contentSize] => 501440 B
                                    [width] => 1200
                                    [height] => 771
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.04d944741188ab8d2fdf941786e768e0?rik=v0lF8QYXMhmhdg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 11E85766A2B4F19FDC6376A119321706F14549BF
                                    [accentColor] => 713840
                                )

                            [44401C944CD230D0A8914B68C9D284B0F7885C63] => Array
                                (
                                    [name] => Swift Message vs Purpose codes
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.gfD7mpHqMQkr8sdacOcxWwHaDt?r=0&pid=Api
                                    [datePublished] => 2022-10-25T12:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://cdn.taxguru.in/wp-content/uploads/2022/10/Under-MT01-message-is-sent-from-the-Forwarding-Bank-to-the-Executing-Bank.jpg
                                    [hostPageUrl] => https://taxguru.in/rbi/swift-message-purpose-codes.html
                                    [contentSize] => 42098 B
                                    [width] => 600
                                    [height] => 300
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.81f0fb9a91ea31092bf2c75a70e7315b?rik=RATBScQtAw2KGQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 36C5887F0B482D9C86B4198A0D032DC449C10444
                                    [accentColor] => 314B86
                                )

                            [7DE9785ED4638E5AD9CD495B25EA4D78E5700084] => Array
                                (
                                    [name] => Discrete Mathematics: Pearson New International Edition: Buy Discrete ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.QMzFebuRn8yw0VhPKkCTOAAAAA?r=0&pid=Api
                                    [datePublished] => 2025-02-19T15:08:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://rukmini1.flixcart.com/image/300/300/jz5vjbk0/book/6/1/1/discrete-mathematics-pearson-new-international-edition-original-imafj889jp7wsm8t.jpeg
                                    [hostPageUrl] => https://www.flipkart.com/discrete-mathematics-pearson-new-international/p/itmfbfzcngheykgy
                                    [contentSize] => 14632 B
                                    [width] => 236
                                    [height] => 300
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.40ccc579bb919fccb0d1584f2a409338?rik=156H5U026KWd3A&riu=http%3a%2f%2frukmini1.flixcart.com%2fimage%2f300%2f300%2fjz5vjbk0%2fbook%2f6%2f1%2f1%2fdiscrete-mathematics-pearson-new-international-edition-original-imafj889jp7wsm8t.jpeg&ehk=BtM7E1vxRG6ispbjL08WoudiC1xqdzcVsgqhnD4Awac%3d&risl=&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 4800075E87D4AE52B594DC9DA5E8364DE5879ED7
                                    [accentColor] => C48507
                                )

                            [24915B93D7BA571286213E6DCDF40A2849BE04EE] => Array
                                (
                                    [name] => Discrete maths - Computer science engineering - Studocu
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.9addHmpE06_Kh-VDyHGXXgHaKe?r=0&pid=Api
                                    [datePublished] => 2023-04-02T17:30:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/9cf1309acccf34830476154ef0694a3c/thumb_1200_1698.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/parul-university/computer-science-engineering/discrete-maths/44606360
                                    [contentSize] => 1126373 B
                                    [width] => 1200
                                    [height] => 1698
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f5a75d1e6a44d3afca87e543c871975e?rik=Qhm1OX2rdSFoEg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => EE40EB9482A04FDCD6E312682175AB7D39B51942
                                    [accentColor] => B0B714
                                )

                            [D703124C78036093518761EABFC3F1460F1B3D4C] => Array
                                (
                                    [name] => CLASS 6 IOM MATHS OLYMPIAD OFFICIAL SAMPLE QUESTION PAPER | Olympiad tester
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.HZ5B48uzBqiqeaTzC_N8UAHaHr?r=0&pid=Api
                                    [datePublished] => 2022-08-12T07:02:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://olympiadtester.in/cdn/shop/articles/1efd15aa9e4cfad70054d06bfa875356_1200x1200.png?v=1666151888
                                    [hostPageUrl] => https://olympiadtester.in/blogs/class-6-study-material/class-6-iom-maths-olympiad-official-sample-question-paper
                                    [contentSize] => 54498 B
                                    [width] => 722
                                    [height] => 749
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1d9e41e3cbb306a8aa79a4f30bf37c50?rik=fTAhxIcwBjkVeA&riu=http%3a%2f%2folympiadtester.in%2fcdn%2fshop%2farticles%2f1efd15aa9e4cfad70054d06bfa875356_1200x1200.png%3fv%3d1666151888&ehk=Zruo72lLbl6tnkRPrE8vjo41S%2be7SX%2bdcyaFeRLIlqI%3d&risl=&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => C4D3B1F0641F3CFBAE16781539063087C421307D
                                    [accentColor] => 796652
                                )

                            [E5DEE0249BD5081E6B66F586F8A1E9C1E34F5D24] => Array
                                (
                                    [name] => Buy Eulerian Graphs and Related Topics: v.2 (Annals of Discrete ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.QngEbruDJC9ybw8KUhRq9QAAAA?r=0&pid=Api
                                    [datePublished] => 2024-08-08T01:26:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/41P2oR-CslL._SY445_SX342_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Eulerian-Graphs-Related-Topics-Mathematics/dp/0444891102
                                    [contentSize] => 11778 B
                                    [width] => 335
                                    [height] => 445
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4278046ebb83242f726f0f0a52146af5?rik=Xu0OQrldgOG2Zg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 42D5F43E1C9E1A8F685F66B6E1805DB9420EED5E
                                    [accentColor] => 9D4213
                                )

                            [9A09F1097442B8DF7C6564481FB34FEFE6A474CA] => Array
                                (
                                    [name] => Identity and Injective Function - Identity Function in Discrete ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP._1m8acWrUpfDAeaGnmunewHaJl?r=0&pid=Api
                                    [datePublished] => 2023-02-13T02:37:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/320405a3bcff35d3a640ce3d2b1194b4/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/identity-and-injective-function/46677395
                                    [contentSize] => 146305 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ff59bc69c5ab5297c301e6869e6ba77b?rik=qZAfkEcki%2f3HVg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => AC474A6EFEF43BF1844656C7FD8B2447901F90A9
                                    [accentColor] => 292929
                                )

                            [E4FE6594EC2E5AF9A71B8FCB0D3C74EFB676EDD8] => Array
                                (
                                    [name] => Compound Interest Formula With Examples - India Dictionary
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.rHNuxV51TdkpQGwF-MWcCAHaFj?r=0&pid=Api
                                    [datePublished] => 2021-02-03T16:35:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://1investing.in/wp-content/uploads/2019/06/compound-interest-formula-with-examples_1.jpg
                                    [hostPageUrl] => https://www.1investing.in/compound-interest-formula-with-examples/
                                    [contentSize] => 54125 B
                                    [width] => 960
                                    [height] => 720
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ac736ec55e754dd929406c05f8c59c08?rik=Tu9WSc7ipZ96sQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 8DDE676BFE47C3D0BCF8B17A9FA5E2CE4956EF4E
                                    [accentColor] => 997632
                                )

                            [B2847C9A7ED94C2FAD1F1F893AD663285031BF3A] => Array
                                (
                                    [name] => LICET LMS
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.S4z1FsTvsD_YRNrLO2xK0QAAAA?r=0&pid=Api
                                    [datePublished] => 2021-09-26T07:33:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://moodle.licet.ac.in/pluginfile.php/36814/course/overviewfiles/DM.jpg
                                    [hostPageUrl] => https://moodle.licet.ac.in/
                                    [contentSize] => 9621 B
                                    [width] => 287
                                    [height] => 176
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4b8cf516c4efb03fd844dacb3b6c4ad1?rik=K0jHqeedxPLa8Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A3FB130582366DA398F1F1DAF2C49DE7A9C7482B
                                    [accentColor] => 0B1509
                                )

                            [DA7BCD5928502E37FF9C3E58A64763E13343B07F] => Array
                                (
                                    [name] => Buy DISCRETE MATHEMATICAL STRU Book Online at Low Prices in India ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.fU7XdQMICGZj97uUQ2ACZAHaLe?r=0&pid=Api
                                    [datePublished] => 2024-06-08T09:09:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/710HMWIPjML._SL1100_.jpg
                                    [hostPageUrl] => https://www.amazon.in/DISCRETE-MATHEMATICAL-STRU-Jean-Paul-Tremblay/dp/0074631136
                                    [contentSize] => 145921 B
                                    [width] => 710
                                    [height] => 1100
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7d4ed7750308086663f7bb9443600264?rik=rbfclYIF4nP%2fyQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F70B34331E36746A85E3C9FF73E2058295DCB7AD
                                    [accentColor] => C31F08
                                )

                            [38F7C8ECE534009BF094202EAE593328D7D29465] => Array
                                (
                                    [name] => Logic Discrete Mathematical Structures 2013-2014 B.Sc IT (Information ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP._mRkyZcgYIcX1FaIoaMRMgHaJ0?r=0&pid=Api
                                    [datePublished] => 2020-11-25T11:55:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.shaalaa.com/images/university-of-mumbai-bsc-logic-discrete-mathematical-structures-bsc-it-semester-3-sybsc-it-2013-2014_2:bc0d293fa59f419aac52ee535ae8c14e.jpg
                                    [hostPageUrl] => https://www.shaalaa.com/question-paper-solution/university-of-mumbai-bsc-logic-discrete-mathematical-structures-bsc-it-semester-3-sybsc-it-2013-2014_8606
                                    [contentSize] => 117933 B
                                    [width] => 800
                                    [height] => 1061
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.fe6464c99720608717d45688a1a31132?rik=g3%2bMzl5DALkPSQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 56492D7D823395EAE202490FB900435ECE8C7F83
                                    [accentColor] => 444444
                                )

                            [0CDD23CD9629CDA859447865863B950E46F1D0E6] => Array
                                (
                                    [name] => A Textbook Of Discrete Mathematics | By Swapan Kumar Sarkar | 9th ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.HG5Kz_Tm3Z0_8OYIVRLLKgHaHa?r=0&pid=Api
                                    [datePublished] => 2022-12-18T04:57:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjMhNWJ3BvzrOJhvTZXaZVIi6nYWBwghgpeA9hd7W23O5Jt668oTQrQUTgtIOevtrj2KfMkw-RZoSi3M23a3uD3dOtWlgqtYJAirBP9KpvkS7yO4pK0ddthxdvSQe_HFV9z7NGziryGoJtp_2GD-0RPO3UZpulsb1xmiT51OUqdiEj50Nx8vQPgEG-j/s555/Background%20-%20Copy%20-%20Copy%20-%20Copy.jpeg
                                    [hostPageUrl] => https://shop.exam360.in/2022/12/a-textbook-of-discrete-mathematics-by.html
                                    [contentSize] => 59040 B
                                    [width] => 555
                                    [height] => 555
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1c6e4acff4e6dd9d3ff0e6085512cb2a?rik=wN0y3GmS3IqVRA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 6E0D1F64E059B368568744958ADC9269DC32DDC0
                                    [accentColor] => 108FBB
                                )

                            [675E14A71DA1D16AE5D37EF458B57DC0341821C0] => Array
                                (
                                    [name] => Problems in Graph theory BCA discrete mathematics - PART B 1. Find the ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.5-5LaYY1nGlvhLH6UVcj6wHaJl?r=0&pid=Api
                                    [datePublished] => 2022-02-24T21:29:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/b67267b9c27fd146321da76d58f2373a/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/university-of-calicut/mathematics/problems-in-graph-theory-bca-discrete-mathematics/22441632
                                    [contentSize] => 168228 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e7ee4b6986359c696f84b1fa515723eb?rik=duVBetEaHaZePQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 0C1281430CD75B854FE73D5EA61D1AD17A41E576
                                    [accentColor] => 50636A
                                )

                            [493243E60E5F084C4637B112778CF98E9FC250B0] => Array
                                (
                                    [name] => Discrete Mathematics By Swapan Kumar Sarkar (Second Hand & Used Book ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.fWlV4VBUaaYROKYX_1oZzwHaLg?r=0&pid=Api
                                    [datePublished] => 2025-07-28T08:41:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/614i0LFtw8L._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Swapan-Sarkar-Second/dp/B0CH6MWFGW
                                    [contentSize] => 113337 B
                                    [width] => 966
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7d6955e1505469a61138a617ff5a19cf?rik=lCM0buD1gMRkcw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 0B052CF9E89FC877211B7364C480F5E06E342394
                                    [accentColor] => 945837
                                )

                            [5A87365D104C39DFA4AACBC4C8D3C6F0E5884C82] => Array
                                (
                                    [name] => Algorithms: GATE CSE 2021 Set 2 | Question: 46
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.GgLAh7QiHR71T1up_aA6lQHaER?r=0&pid=Api
                                    [datePublished] => 2021-02-18T12:51:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://media.geeksforgeeks.org/wp-content/uploads/20230801122248/scc_fianldrawio.png
                                    [hostPageUrl] => https://gateoverflow.in/357494/gate-cse-2021-set-2-question-46
                                    [contentSize] => 55170 B
                                    [width] => 1061
                                    [height] => 612
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1a02c087b4221d1ef54f5ba9fda03a95?rik=pXhj1QHEk%2f1Kqg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 28C4885E0F6C3D8C4CBCAA4AFD93C401D56378A5
                                    [accentColor] => 26794D
                                )

                            [880072A020DB6088CBAD57ABE172BEC44685B119] => Array
                                (
                                    [name] => Strength of Solution Formula, Units and Calculation - Chemistry ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.ux28lcUTPZrT9ycslh3udAHaEI?r=0&pid=Api
                                    [datePublished] => 2022-09-19T18:43:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/4_53.PNG?BCgkjAP62Pg9zboacyLegqkPrM.NSs5D
                                    [hostPageUrl] => https://www.aakash.ac.in/important-concepts/chemistry/strength-of-a-solution
                                    [contentSize] => 36496 B
                                    [width] => 547
                                    [height] => 305
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.bb1dbc95c5133d9ad3f7272c961dee74?rik=iAAnCgK9Boi82g&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 911B58644CEB271EBA75DABC8806BD020A270088
                                    [accentColor] => 404040
                                )

                            [C001FF9A955428C0A2F20FF38FF1EC1305D7ECEB] => Array
                                (
                                    [name] => DISCRETE MATHEMATICAL STRUCTURES, 6TH EDN : Kolman / Busby / Ross ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP._Co6FaEo5rdNXH7bDpG9lwHaJe?r=0&pid=Api
                                    [datePublished] => 2022-08-10T15:43:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/91QX5zcALtL._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/DISCRETE-MATHEMATICAL-STRUCTURES-6TH-EDN/dp/9332549591
                                    [contentSize] => 300078 B
                                    [width] => 1173
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.fc2a3a15a128e6b74d5c7edb0e91bd97?rik=DBD%2fqVlFggwqLw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => BECE7D5031CE1FF83FF02F2A0C824559A9FF100C
                                    [accentColor] => B39918
                                )

                            [75C51E6D2243BA64123A48C3C790C9D84130C4FC] => Array
                                (
                                    [name] => Student's Solutions Guide to Accompany Discrete Mathematics and Its ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.-CvMy_50sSB_jKAMwKS-0AHaJx?r=0&pid=Api
                                    [datePublished] => 2023-11-09T04:10:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/71ctQL8uZ0L._SL1067_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Students-Solutions-Accompany-Mathematics-Applications/dp/B00LLLIOOG
                                    [contentSize] => 161388 B
                                    [width] => 809
                                    [height] => 1067
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f82bcccbfe74b1207f8ca00cc0a4bed0?rik=V1zh1iI0q0Yhow&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => CF4C03148D9C097C3C84A32146AB3422D6E15C57
                                    [accentColor] => 2F4D9C
                                )

                            [9FC2177DAA1FD82D0555727AC8A3EF29887C3ED1] => Array
                                (
                                    [name] => DISCRETE MATHEMATICAL STRUCTURES (18CS36)
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.czGR5rPIrVqfyIIe4fabiQHaEK?r=0&pid=Api
                                    [datePublished] => 2020-09-08T15:29:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://1.bp.blogspot.com/-fTU8Kxe-sGg/XjEvMmycV2I/AAAAAAAAAuQ/aodWhiAnhWwKBdSXz_zclXwwq6THXNJegCLcBGAsYHQ/s640/5.png
                                    [hostPageUrl] => https://www.azdocuments.in/2020/01/discrete-mathematical-structures-18cs36.html
                                    [contentSize] => 219532 B
                                    [width] => 560
                                    [height] => 315
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.733191e6b3c8ad5a9fc8821ee1f69b89?rik=%2bSxx16rxjdJQVQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 1DE3C78892FE3A8CA7275550D28DF1AAD7712CF9
                                    [accentColor] => C52306
                                )

                            [6919B67996F1198D14C4428763AE87BAB62CA054] => Array
                                (
                                    [name] => Buy ISE Discrete Mathematics and Its Applications Book Online at Low ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP._kr7Pd11bHK5MifACxBgRwHaJJ?r=0&pid=Api
                                    [datePublished] => 2018-08-10T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/81ohWsXuZ3L._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Mathematics-Applications-Kenneth-Rosen/dp/1260091996
                                    [contentSize] => 143074 B
                                    [width] => 1215
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.fe4afb3ddd756c72b93227c00b106047?rik=lpFrl2kfkdhBTA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 450AC26BAB78EA3678244C41D8911F69976B9196
                                    [accentColor] => BA9211
                                )

                            [722F979E82373D233BCD5D753D7C23C81B0A4239] => Array
                                (
                                    [name] => கணித தர்க்கவியல் (Mathematical Logic) : தர்க்க இணைப்புகள் மற்றும் அதன் ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.HcxPIH7YN6LXVkcJvAH1XgHaCf?r=0&pid=Api
                                    [datePublished] => 2023-01-15T00:36:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.brainkart.in/media/tamimg42/TMoBwib.png
                                    [hostPageUrl] => https://www.brainkart.in/article/Mathematical-Logic--Logical-Connectives-and-their-Truth-Tables_41289/
                                    [contentSize] => 17660 B
                                    [width] => 637
                                    [height] => 215
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1dcc4f207ed837a2d7564709bc01f55e?rik=J%2fJ56Shz0zKz3A&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 9324A0B18C32C7D357D5DCB332D37328E979F227
                                    [accentColor] => B32818
                                )

                            [358206493059B4E9835F2BF741A027E10CDD5AD2] => Array
                                (
                                    [name] => GeForce.com Watch Dogs 2 Geometry Interactive Comparison: Ultra vs ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.R8zMDCOrXUB5pJOMafHXJQHaEK?r=0&pid=Api
                                    [datePublished] => 2016-11-29T18:42:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/watch-dogs-2/watch-dogs-2-geometry-001-medium.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/watch-dogs-2/watch-dogs-2-geometry-interactive-comparison-001-ultra-vs-medium.html
                                    [contentSize] => 3634982 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.47cccc0c23ab5d4079a4938c69f1d725?rik=UyhglAOVS5449Q&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fwatch-dogs-2%2fwatch-dogs-2-geometry-001-medium.png&ehk=VEEIgdV9wqseXndS0Kvch4hszraKIS%2fl5lCHiIh%2bk54%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 2DA5DDC01E720A147FB2F5389E4B950394602853
                                    [accentColor] => 31679A
                                )

                            [21D3650B834B0269EBF480A176C3A96C98361613] => Array
                                (
                                    [name] => How do I know the Incoming / Outgoing mail settings? - Blue Net Box
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.ulgDg9_NVRI-9eYEFytu6QHaCr?r=0&pid=Api
                                    [datePublished] => 2020-06-24T03:56:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.bluenetbox.com/02images/email-manual-settings.jpg
                                    [hostPageUrl] => https://www.bluenetbox.com/knowledgebase/7/How-do-I-know-the-Incoming-or-Outgoing-mail-settings.html
                                    [contentSize] => 37263 B
                                    [width] => 800
                                    [height] => 290
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ba580383dfcd55123ef5e604172b6ee9?rik=Ej1WsDi0IJa%2bTw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 31616389C69A3C671A084FBE9620B438B0563D12
                                    [accentColor] => 4A4A4A
                                )

                            [F4E1E17F128BD97CE987F803A7D07E2FAE36B665] => Array
                                (
                                    [name] => Homogeneous and Heterogeneous Mixtures: Explore 10 Examples of Each
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.5o8FEwCXEOpOw_ny-BsbmwHaDt?r=0&pid=Api
                                    [datePublished] => 2022-12-15T16:39:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.adda247.com/jobs/wp-content/uploads/sites/2/2023/09/18184425/Homogenous-and-Heterogeneous-Mixture.png
                                    [hostPageUrl] => https://www.adda247.com/school/heterogeneous-mixture/
                                    [contentSize] => 570859 B
                                    [width] => 1200
                                    [height] => 600
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e68f0513009710ea4ec3f9f2f81b1b9b?rik=Tx4e9yG4nceeeA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 566B63EAF2E70D7A308F789EC79DB821F71E1E4F
                                    [accentColor] => A75E24
                                )

                            [7C5129040784C8E4CB19A37A5C389546E5655E16] => Array
                                (
                                    [name] => adjacent and vertical angle in maths: Definition, Types and Importance ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.qAJrFGU4PQpYydqXC5Lt6gHaCx?r=0&pid=Api
                                    [datePublished] => 2021-07-11T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/pdf_management_files/target_solutions/adjacent%20and%20vertical%20angle%20image%20%203%20%2B4.png?e.8I_U6RdiU2zlg3gWAvLwZqsnBh1y8C
                                    [hostPageUrl] => https://www.aakash.ac.in/important-concepts/maths/adjacent-and-vertical-angle
                                    [contentSize] => 258126 B
                                    [width] => 4000
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a8026b1465383d0a58c9da970b92edea?rik=xxWSQHBIjE68kQ&pid=ImgRaw&r=0
                                    [isTransparent] => 1
                                    [imageId] => 61E5565E645983C5A73A91BC4E8C4870409215C7
                                    [accentColor] => 532F9C
                                )

                            [5D9EE2C6A4E088F6D57DA975036BE786712B1E08] => Array
                                (
                                    [name] => GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.8KfkJaqAUstvMASivJkDQAHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-19T18:57:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-003-ultra.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-003-ultra-vs-off.html
                                    [contentSize] => 2148447 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f0a7e425aa8052cb6f3004a2bc990340?rik=1ekubEoOiG9d1w&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-003-ultra.png&ehk=ZW%2fdXXnd0aLDwuzLLbN1dKNIdd9UH9hijGecPasvyP0%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 80E1B217687EB630579AD75D6F880E4A6C2EE9D5
                                    [accentColor] => A26A29
                                )

                            [73BE10BFB3173DD5F101122253C2926613072B65] => Array
                                (
                                    [name] => Buy Essentials of Discrete Mathematics Book Online at Low Prices in ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.mosbEAOuhOc_KgtgFrgx9QHaJe?r=0&pid=Api
                                    [datePublished] => 2021-02-23T07:14:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/71EH4zog2nL._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Essentials-Discrete-Mathematics-David-Hunter/dp/1284184765
                                    [contentSize] => 94661 B
                                    [width] => 1172
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.9a8b1b1003ae84e73f2a0b6016b831f5?rik=N%2bsB%2bztx010fEA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 56B2703166292C352221101F5DD3713BFB01EB37
                                    [accentColor] => C38508
                                )

                            [1D203D367FA1E9823D969C358DE5713F090D0395] => Array
                                (
                                    [name] => Buy Mathematics: A Discrete Introduction Book Online at Low Prices in ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.npOStw-HsI_dCXIiAxt1DQHaJe?r=0&pid=Api
                                    [datePublished] => 2012-03-01T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/61dv-+9OtZL._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Mathematics-Discrete-Introduction-Edward-Scheinerman/dp/0840049420
                                    [contentSize] => 111755 B
                                    [width] => 1172
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.9e9392b70f87b08fdd097222031b750d?rik=0QLTY%2fcanijTaQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 5930D090F3175ED853C969D3289E1AF763D302D1
                                    [accentColor] => B99312
                                )

                            [8A53AC8260F4FBA112F7F2B60B3593F9FAD5A989] => Array
                                (
                                    [name] => GeForce.com Fallout 4 Distant Object Detail Interactive Comparison ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.BKFs1RrpOaB5gsOb3TxHAgHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-19T18:56:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-distant-object-detail-001-medium.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-distant-object-detail-interactive-comparison-001-high-vs-medium.html
                                    [contentSize] => 3707681 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.04a16cd51ae939a07982c39bdd3c4702?rik=qDXKKAZPvxohfw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-distant-object-detail-001-medium.png&ehk=ChfxLjXgj8qcVHvG%2fiz2NrHr4%2fZu6TdJvvfKKNy%2bIhc%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 989A5DAF9F3953B06B2F7F211ABF4F0628CA35A8
                                    [accentColor] => 3B6F90
                                )

                            [7C366A5A1D80D61530507352ED4144F8D028268E] => Array
                                (
                                    [name] => What is the Modal in Maths? | Modal Number | Wiki - Twinkl
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.SOQYh_67IwowmWDsls9iyQHaFL?r=0&pid=Api
                                    [datePublished] => 2020-09-26T16:14:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images.twinkl.co.uk/tw1n/image/private/t_630/u/ux/screen-shot-2021-01-06-at-17.11.56_ver_1.png
                                    [hostPageUrl] => https://www.twinkl.co.in/teaching-wiki/mode
                                    [contentSize] => 20754 B
                                    [width] => 630
                                    [height] => 441
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.48e41887febb230a309960ec96cf62c9?rik=x2OmpdEIbVEDBQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => E862820D8F4414DE25370503516D08D1A5A663C7
                                    [accentColor] => A64C25
                                )

                            [86712FF7C818074AB675E47441BF840679F482E3] => Array
                                (
                                    [name] => USART vs. UART - what are the differences? - elektroda.com
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.-8KVKXXByQ1S4fejygNMHwHaDw?r=0&pid=Api
                                    [datePublished] => 2022-04-01T16:19:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://obrazki.elektroda.pl/3128216100_1563542587.png
                                    [hostPageUrl] => https://www.elektroda.com/rtvforum/topic3632132.html
                                    [contentSize] => 5849 B
                                    [width] => 518
                                    [height] => 263
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.fbc2952975c1c90d52e1f7a3ca034c1f?rik=aBfyf4yBcKRrVw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3E284F976048FB14474E576BA470818C7FF21768
                                    [accentColor] => 386193
                                )

                            [8A280C73FB9F7144E9817978205E6E2C116C97F3] => Array
                                (
                                    [name] => Continuous Time Signals Free MCQ Practice Test with Solutions ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.pmRgEGrjWVJ4b82_D7ZSvgAAAA?r=0&pid=Api
                                    [datePublished] => 2022-10-26T18:31:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://edurev.gumlet.io/ApplicationImages/Temp/50691491-5432-45dc-9980-2561e39bec65_lg.jpg
                                    [hostPageUrl] => https://edurev.in/test/27134/Test-Continuous-Time-Signals
                                    [contentSize] => 41064 B
                                    [width] => 366
                                    [height] => 431
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a66460106ae35952786fcdbf0fb652be?rik=qILAN7%2f5F0SeGA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3F79C611C2E6E5028797189E4417F9BF37C082A8
                                    [accentColor] => 505457
                                )

                            [5BA33EFD516B7DBE790525D56160EDD5665CFAB8] => Array
                                (
                                    [name] => GeForce.com Call of Duty: Black Ops 3 Anti-Aliasing Interactive ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.aXU6EQukiaBaX7DV4f3QigHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-18T02:52:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/call-of-duty-black-ops-3/call-of-duty-black-ops-3-anti-aliasing-002-smaa-1x.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/call-of-duty-black-ops-iii/call-of-duty-black-ops-3-anti-aliasing-interactive-comparison-2-smaa-t2x-vs-smaa-1x.html
                                    [contentSize] => 3657821 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.69753a110ba489a05a5fb0d5e1fdd08a?rik=tTrj3xW21%2buXUA&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fcall-of-duty-black-ops-3%2fcall-of-duty-black-ops-3-anti-aliasing-002-smaa-1x.png&ehk=WNbSAl7F6UmZlEoSJdyw37zUg52csr%2bCi%2fZNCvuotM8%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 8BAFC5665DDE06165D525097EBD7B615DFE33AB5
                                    [accentColor] => 836E48
                                )

                            [048ADF4B3EBAB0F87D6287D7DCD9AFA051D6741F] => Array
                                (
                                    [name] => RSA Encryption, Mojette Transform, Negation - RSA Encryption in ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.WEc6iJf3RMjWsVZCPyR0qQHaJl?r=0&pid=Api
                                    [datePublished] => 2023-02-08T20:34:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/67f72a59d5b6adcd6aa76a0b2eb123cc/thumb_1200_1553.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/i-k-gujral-punjab-technical-university/computer-science-engineering/rsa-encryption-mojette-transform-negation/46158904
                                    [contentSize] => 197388 B
                                    [width] => 1200
                                    [height] => 1553
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.58473a8897f744c8d6b156423f2474a9?rik=QKj9tOOrC4%2fXJg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F1476D150AFA9DCD7D7826D78F0BABE3B4FDA840
                                    [accentColor] => 2C2C2C
                                )

                            [BC39781E0318FD40B7A52DB7285FAD3BC56DFEED] => Array
                                (
                                    [name] => Computational Logic And Discrete Structures For MU Sem 1 F. Y. B.Sc ...
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.-IwaTvgCoSqc5oipk4XvVwHaI7?r=0&pid=Api
                                    [datePublished] => 2022-10-12T09:42:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://rukminim1.flixcart.com/image/832/832/xif0q/regionalbooks/9/m/z/computational-logic-and-discrete-structures-for-mu-sem-1-f-y-b-original-imaghzhuurf9gkut.jpeg?q=70
                                    [hostPageUrl] => https://www.flipkart.com/computational-logic-discrete-structures-mu-sem-1-f-y-b-sc-information-technology-course-code-usit104-academic-year-2022-2023/p/itmebd4cfc0e213b
                                    [contentSize] => 77633 B
                                    [width] => 690
                                    [height] => 832
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f88c1a4ef802a12a9ce688a99385ef57?rik=y5OH4TCB3wR7Wg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DEEFD65CB3DAF5827BD25A7B04DF8130E18793CB
                                    [accentColor] => 0D69B1
                                )

                            [400D2CB3AA17E16B3B8841551457185AE2D995C7] => Array
                                (
                                    [name] => GeForce.com Fallout 4 uGridsToLoad Interactive Comparison: 11 uGrids vs ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.TLLc9p3-tbRNT2Hi8RNuAAHaEK?r=0&pid=Api
                                    [datePublished] => 2020-09-30T08:22:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-ugrids-002-ugrids-007.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-ugridstoload-tweak-interactive-comparison-002-ugrids-11-vs-ugrids-7.html
                                    [contentSize] => 4121690 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4cb2dcf69dfeb5b44d4f61e2f1136e00?rik=BNDCO6pxHraziA&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-ugrids-002-ugrids-007.png&ehk=UJoofzPom9jyJQB6d0YdjmccV4osi%2fvUD4VA1iZPzOI%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 7C599D2EA5817541551488B3B61E71AA3BC2D004
                                    [accentColor] => 496075
                                )

                            [FE65CCF8AB8AB90CD08AB4B01BB7AB240D7B014E] => Array
                                (
                                    [name] => Hacker vs Defender: Linux Servers | RoyalBosS
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.zuWt57CMbG8LZB0zNBZj4AHaEK?r=0&pid=Api
                                    [datePublished] => 2025-01-08T20:50:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://cdn.royalboss.in/?url=https://img-c.udemycdn.com/course/750x422/6359377_6e69.jpg
                                    [hostPageUrl] => https://courses.royalboss.in/course/hacker-vs-defender-linux-servers/
                                    [contentSize] => 76976 B
                                    [width] => 750
                                    [height] => 422
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.cee5ade7b08c6c6f0b641d33341663e0?rik=71bMj7qom8ANqA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => E410B7D042BA7BB10B4BA80DC09BA8BA8FCC56EF
                                    [accentColor] => AE1D22
                                )

                            [56676D60F1D3118599729FA4F3C8BFD0B8045384] => Array
                                (
                                    [name] => Signal Processing Algorithm Based on Discrete Wavelet Transform
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.5pOifieuxVjcFQvmgw1tuAHaGA?r=0&pid=Api
                                    [datePublished] => 2021-07-13T03:28:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.mdpi.com/designs/designs-05-00041/article_deploy/html/images/designs-05-00041-g001.png
                                    [hostPageUrl] => https://www.mdpi.com/2411-9660/5/3/41
                                    [contentSize] => 101171 B
                                    [width] => 1369
                                    [height] => 1110
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e693a27e27aec558dc150be6830d6db8?rik=ZXbWBh89EViZJw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 4835408B0DFB8C3F4AF9279958113D1F06D67665
                                    [accentColor] => 2276A9
                                )

                            [746E8CBA32CB9E1340F3A95C9236481BE13AE8EB] => Array
                                (
                                    [name] => GeForce.com Tom Clancy's Rainbow Six Siege Anti-Aliasing Interactive ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.q110eBojhaTWPADLKpvwwAHaEK?r=0&pid=Api
                                    [datePublished] => 2017-08-09T14:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/tom-clancys-rainbow-six-siege/tom-clancys-rainbow-six-siege-anti-aliasing-001-2x-txaa.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/tom-clancys-rainbow-six-siege/tom-clancys-rainbow-six-siege-anti-aliasing-interactive-comparison-001-2x-txaa-vs-temporal-filtering-taa.html
                                    [contentSize] => 2777983 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ab5d74781a2385a4d63c00cb2a9bf0c0?rik=R%2bbIqyO86TEEPw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftom-clancys-rainbow-six-siege%2ftom-clancys-rainbow-six-siege-anti-aliasing-001-2x-txaa.png&ehk=KZioQ6K%2fonC%2ft%2b75FhvNODsjWC9e%2fvYuufmf5dHi5wU%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => BE8EA31EB1846329C59A3F0431E9BC23ABC8E647
                                    [accentColor] => 986633
                                )

                            [F6C55BD7F993BCD4EABF2CF14D28A0620573806E] => Array
                                (
                                    [name] => Matrix Multiplication: Process, Properties & Calculator | AESL
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.lTXZA0Q_iTDSl7tqVtOHgwHaH4?r=0&pid=Api
                                    [datePublished] => 2022-10-13T05:13:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://dcx0p3on5z8dw.cloudfront.net/Aakash/s3fs-public/inline-images/1_63.jpg?0SKxCqDfiSx_HotPvVZdd8VSLNq8GFBY
                                    [hostPageUrl] => https://www.aakash.ac.in/important-concepts/maths/matrix-multiplication
                                    [contentSize] => 56067 B
                                    [width] => 537
                                    [height] => 571
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.9535d903443f8930d297bb6a56d38783?rik=b1y1fZ85y02u%2bw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => E6083750260A82D41FC2FBAE4DCB399F7DB55C6F
                                    [accentColor] => C22009
                                )

                            [2011331490DED8F106155F63D4BCC4F31332ED29] => Array
                                (
                                    [name] => GeForce.com Assassin's Creed Syndicate Ambient Occlusion-Only ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.voI_VauR-QM0392td5qFWQHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-20T16:47:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/assassins-creed-syndicate/assassins-creed-syndicate-ambient-occlusion-006-hbao-plus-ultra-ao-only.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/assassins-creed-syndicate/assassins-creed-syndicate-ambient-occlusion-interactive-comparison-006-hbao-plus-ultra-vs-ssao-ao-only.html
                                    [contentSize] => 1343027 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.be823f55ab91f90334dfddad779a8559?rik=AhEzQQntjR9gUQ&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fassassins-creed-syndicate%2fassassins-creed-syndicate-ambient-occlusion-006-hbao-plus-ultra-ao-only.png&ehk=oJLCXh0%2b2iVMoNjGEN1UIcQUY1aS3j0V%2bmPKZEvPcJY%3d&risl=&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 92DE23313F4CCB4D36F551601F8DED0941331102
                                    [accentColor] => 536B78
                                )

                            [0AE83203CDD72BF09EE9930148A31023CB9E7E25] => Array
                                (
                                    [name] => Graph Theory: GO Classes Test Series 2024 | Discrete Mathematics | Test ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.KaC56NPZmYRN5v5Riz71cgHaCn?r=0&pid=Api
                                    [datePublished] => 2022-07-14T13:49:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://lh6.googleusercontent.com/YA6cEDT4qaHj9ddWHt_xO85HEO6Lgjj3zvKvxUmaUkf6HvH2xmM-PF27flD7SGxxTo3NTb8sn02MeVgR3AvRaIqXB-OuqY2I1Y7HLIHxxZTw1B6mPjxYdyI7OVJUZIPA6pXCTlaKckNG-2tTMg
                                    [hostPageUrl] => https://gateoverflow.in/375244/classes-test-series-2024-discrete-mathematics-test-question
                                    [contentSize] => 111332 B
                                    [width] => 925
                                    [height] => 327
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.29a0b9e8d3d999844de6fe518b3ef572?rik=oI4jMNx9sg%2fpng&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 52E7E9BC32013A8410399EE90FB27DDC30238EA0
                                    [accentColor] => 786553
                                )

                            [A13954242297FC7CCAA4FFB145274DA82A8CB40A] => Array
                                (
                                    [name] => Independent and Dependent Events Poster
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.EzYUHZNLHPjyGssqO96GHAHaDt?r=0&pid=Api
                                    [datePublished] => 2021-02-21T20:03:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/a0/ee/au-n-2549018-independent-and-dependent-events-poster-preview_ver_2.png
                                    [hostPageUrl] => https://www.twinkl.co.in/resource/independent-and-dependent-events-poster-au-n-2549018
                                    [contentSize] => 34656 B
                                    [width] => 630
                                    [height] => 315
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.1336141d934b1cf8f21acb2a3bde861c?rik=GpNFQiJ5z8esSg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => A04BC8A28AD472541BFF4AACC7CF79224245931A
                                    [accentColor] => BD4F0F
                                )

                            [DF5B8AC5EA7FBFA87B8E100601F55773439AEE5F] => Array
                                (
                                    [name] => Descriptive vs Inferential Statistics
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.gTe4CJnxTDLy6JD1KEMMewHaHa?r=0&pid=Api
                                    [datePublished] => 2021-03-31T07:25:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://img1.wsimg.com/isteam/ip/683a65a0-e168-404b-b9c7-0971d8289f02/Descriptive%20vs%20Inferential%20statistics.png/:/cr=t:0%25,l:0%25,w:100%25,h:100%25
                                    [hostPageUrl] => https://arockialiborious.com/f/descriptive-vs-inferential-statistics
                                    [contentSize] => 273452 B
                                    [width] => 1600
                                    [height] => 1600
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.8137b80899f14c32f2e890f528430c7b?rik=%2fbWoXK73%2b4q36A&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => F5EEA93437755F106001E8B78AFBF7AE5CA8B5FD
                                    [accentColor] => 0090CC
                                )

                            [12C3EE5B079FFEC74226BC99CA84C56AB217C439] => Array
                                (
                                    [name] => The resplendent joy of girl math - Blog
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.xCVI7Vf8itk1lQt-urliJgAAAA?r=0&pid=Api
                                    [datePublished] => 2023-08-26T18:52:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://helios-i.mashable.com/imagery/articles/07hiPDWr1fAsa3EdzNwLLkk/images-2.fit_lim.size_376x.jpg
                                    [hostPageUrl] => https://appsmanager.in/blog/the-resplendent-joy-of-girl-math
                                    [contentSize] => 45923 B
                                    [width] => 376
                                    [height] => 650
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.c42548ed57fc8ad935950b7ebab96226?rik=ITzutXD573wkYg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 934C712BA65C48AC99CB62247CEFF970B5EE3C21
                                    [accentColor] => 953636
                                )

                            [A93335727DC03D0865D7BC99CA84C56AB217C439] => Array
                                (
                                    [name] => The resplendent joy of girl math - Blog
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.OhJ5ybrrnZ7N2CXL2QU-dQAAAA?r=0&pid=Api
                                    [datePublished] => 2023-08-26T18:52:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://helios-i.mashable.com/imagery/articles/07hiPDWr1fAsa3EdzNwLLkk/images-1.fit_lim.size_376x.png
                                    [hostPageUrl] => https://appsmanager.in/blog/the-resplendent-joy-of-girl-math
                                    [contentSize] => 178188 B
                                    [width] => 376
                                    [height] => 589
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.3a1279c9baeb9d9ecdd825cbd9053e75?rik=mjNTJ9cM04BWfQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 934C712BA65C48AC99CB7D5680D30CD72753339A
                                    [accentColor] => AD1E84
                                )

                            [DA0503DB5CE393FD031161863B90D9AFD1AA7C74] => Array
                                (
                                    [name] => MTH401 Discrete Mathematics - Lovely Professional University, Punjab ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.pfUcgJRiYrdRANzwe5E5jwHaFu?r=0&pid=Api
                                    [datePublished] => 2022-10-01T05:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://d20ohkaloyme4g.cloudfront.net/img/document_thumbnails/281b0158f407b9d8b7433d49f6faa35c/thumb_1200_927.png
                                    [hostPageUrl] => https://www.studocu.com/in/document/lovely-professional-university/community-development-project/mth401-discrete-mathematics/33561072
                                    [contentSize] => 145022 B
                                    [width] => 1200
                                    [height] => 927
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a5f51c80946262b75100dcf07b91398f?rik=rVAwvcU%2bOd8wEQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 47C7AA1DFA9D09B368161130DF393EC5BD3050AD
                                    [accentColor] => 4D4D4D
                                )

                            [2C10F7EECBD88A4CFBFAA975036BE786712B1E08] => Array
                                (
                                    [name] => GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.f3sAescsX27H4qxgUGApfwHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-19T18:57:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-003-off.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-003-ultra-vs-off.html
                                    [contentSize] => 2398896 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7f7b007ac72c5f6ec7e2ac605060297f?rik=wgF%2f7ryNqMS%2frw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-003-off.png&ehk=%2bOLh79LqjLdlUS0lBlUTSCN2fr%2f%2bSa%2fYHtUrgm2sPTE%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 80E1B217687EB630579AAFBFC4A88DBCEE7F01C2
                                    [accentColor] => A56A26
                                )

                            [17A7944460A7B9442A61A48761415A9652337E94] => Array
                                (
                                    [name] => GeForce.com Titanfall 2 Sun Shadow Detail Interactive Comparison: High ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.f9XaUZyUeJOD0cCs1C8o4gHaEK?r=0&pid=Api
                                    [datePublished] => 2017-06-30T11:07:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/titanfall-2/titanfall-2-sun-shadow-detail-003-high.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/titanfall-2/titanfall-2-sun-shadow-detail-interactive-comparison-003-high-vs-off.html
                                    [contentSize] => 4056873 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7fd5da519c94789383d1c0acd42f28e2?rik=cXpJRAZ6m0SiFg&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftitanfall-2%2ftitanfall-2-sun-shadow-detail-003-high.png&ehk=uXD6OtvZos9pNLZlPo4beTwXppMNbJ4wC3LbKqwF3x4%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 49E7332569A51416784A16A2449B7A0644497A71
                                    [accentColor] => 4B5F80
                                )

                            [11456479781A9D10CCE121D0EE20B93325DB1513] => Array
                                (
                                    [name] => Tarjeta grafica on sale intel graphics hd
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.o3z5cbrZQ7HB8s1m6BpqnQHaDk?r=0&pid=Api
                                    [datePublished] => 2025-01-27T07:14:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.zotac.com/download/files/news/desc/images/cpu-gpu_1.jpg
                                    [hostPageUrl] => https://www.metrorailnews.in/?m=223573612
                                    [contentSize] => 20868 B
                                    [width] => 800
                                    [height] => 386
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a37cf971bad943b1c1f2cd66e81a6a9d?rik=EVRGl4eh2QHMHg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 3151BD52339B02EE0D121ECC01D9A18797465411
                                    [accentColor] => 355A4C
                                )

                            [9BADEAC6CA05E4C00894428A69A03EA4AC71E8AC] => Array
                                (
                                    [name] => GeForce.com Fallout 4 Anti-Aliasing Interactive Comparison: TAA vs ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.58g9maaWdvAuVjtNL_4k6gHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-18T23:24:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-anti-aliasing-001-fxaa.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-anti-aliasing-interactive-comparison-001-taa-vs-fxaa.html
                                    [contentSize] => 2707899 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.e7c83d99a69676f02e563b4d2ffe24ea?rik=udqubKxQTgyASQ&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-anti-aliasing-001-fxaa.png&ehk=4Z19VSQlmfFEKTWn2jZ4tXQkNLhZ%2fNnYSGFiEseWiqw%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => CA8E17CA4AE30A96A82449800C4E50AC6CAEDAB9
                                    [accentColor] => A57D26
                                )

                            [BFC9FC9EBCA402871A1EA8934261F3329120F6A8] => Array
                                (
                                    [name] => How to differentiate between Good Design Vs Bad Design
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.8KgfDl_XOoD4fNBR1qcRkwHaEK?r=0&pid=Api
                                    [datePublished] => 2023-05-08T12:41:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://assets-global.website-files.com/63e8db4f63db55003d1d5703/642ef15dfda8bb9b62a6663c_62596dae449182658f61f6e5_Bad-vs-Good-UI-Design-2.png
                                    [hostPageUrl] => https://www.fluidesigns.in/blog/how-to-differentiate-between-good-design-vs-bad-design
                                    [contentSize] => 1020114 B
                                    [width] => 3840
                                    [height] => 2160
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.f0a81f0e5fd73a80f87cd051d6a71193?rik=%2b5zP6ctKIHih4Q&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 8A6F0219233F1624398AE1A178204ACBE9CF9CFB
                                    [accentColor] => 022CC9
                                )

                            [B92D9117185EE581A9A250D8055B62E32F931D61] => Array
                                (
                                    [name] => Discrete-Time Signal Processing (Prentice-Hall Signal Processing Series ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.JbQ4zmnaB-NWoub8jhoo5gHaJI?r=0&pid=Api
                                    [datePublished] => 2009-08-18T12:00:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/81e3p0JJ4bL._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Time-Signal-Processing-Prentice-Hall/dp/0131988425
                                    [contentSize] => 165013 B
                                    [width] => 1217
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.25b438ce69da07e356a2e6fc8e1a28e6?rik=m9IZcYHlXhiaKg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 16D139F23E26B5508D052A9A185EE5817119D29B
                                    [accentColor] => B8BB10
                                )

                            [E779815B7A8A91B006CBB3254C50459160946BA5] => Array
                                (
                                    [name] => 15 Examples Of Maths Patterns In Nature That Will Stun You - MobyGeek.com
                                    [thumbnailUrl] => https://tse1.mm.bing.net/th/id/OIP.Tqx79FxVWQpgOMfhh70ttwHaE6?r=0&pid=Api
                                    [datePublished] => 2019-07-08T06:40:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://img.mobygeek.com/resize/730x-/2019/07/08/cobweb-449909-960-720-compressed-0503.jpg
                                    [hostPageUrl] => https://mobygeek.com/features/15-examples-of-maths-patterns-in-nature-that-will-stun-you-6666
                                    [contentSize] => 99383 B
                                    [width] => 730
                                    [height] => 485
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4eac7bf45c55590a6038c7e187bd2db7?rik=fpcYtaeoGQtgvA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 5AB64906195405C4523BBC600B19A8A7B518977E
                                    [accentColor] => 4F5836
                                )

                            [9A7088AA5B334ABA9E9CAD6CB0D989138706EC11] => Array
                                (
                                    [name] => Fillable Online math niu APPLICATION FOR THE MATHEMATICS INCOMING ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.yHDl_2GUX4vhxJt2EDRWaQAAAA?r=0&pid=Api
                                    [datePublished] => 2023-09-02T14:32:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.pdffiller.com/preview/18/944/18944665.png
                                    [hostPageUrl] => https://www.pdffiller.com/18944665--math-incoming-freshmanpdf-APPLICATION-FOR-THE-MATHEMATICS-INCOMING-FRESHMAN-math-niu-
                                    [contentSize] => 36104 B
                                    [width] => 298
                                    [height] => 386
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.c870e5ff61945f8be1c49b7610345669?rik=qQeIqrUzpKvpyQ&pid=ImgRaw&r=0
                                    [isTransparent] => 1
                                    [imageId] => 11CE607831989D0BC6DAC9E9ABA433B5AA8807A9
                                    [accentColor] => 9C9C00
                                )

                            [78219E4054F1BF446FB9999103FD485DF9882DBF] => Array
                                (
                                    [name] => Discrete-Time Signal Processing, 3e : Oppenheim: Amazon.in: Books
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.ZKZ991zcThV2yVWlhlArCwHaKM?r=0&pid=Api
                                    [datePublished] => 2023-06-24T04:35:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/71CCks6A9VL._SL1500_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-Time-Signal-Processing-3e-Oppenheim/dp/9332535035
                                    [contentSize] => 116872 B
                                    [width] => 1090
                                    [height] => 1500
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.64a67df75cdc4e1576c955a586502b0b?rik=hxLpBEUf%2b0T2mw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => FBD2889FD584DF3019999BF644FB1F4504E91287
                                    [accentColor] => 07803C
                                )

                            [93A177AA4181D927972B6FC2650571DDE75A5744] => Array
                                (
                                    [name] => GeForce.com Gears of War 4 Environment Reflections Interactive ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.zXp7s40Z4OKwVD2gbb890wHaEK?r=0&pid=Api
                                    [datePublished] => 2017-07-07T03:06:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/gears-of-war-4/gears-of-war-4-environment-reflections-002-on.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/gears-of-war-4/gears-of-war-4-environment-reflections-interactive-comparison-002-on-vs-off.html
                                    [contentSize] => 2678041 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.cd7a7bb38d19e0e2b0543da06dbf3dd3?rik=ORp3qhQYnXJ5sg&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2fgears-of-war-4%2fgears-of-war-4-environment-reflections-002-on.png&ehk=ShffjxS0QMegWCPodE6u%2fTKXkMZHbc1BSI9FmNiknhc%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 4475A57EDD1750562CF6B279729D1814AA771A39
                                    [accentColor] => 039AC8
                                )

                            [14C568B4DD3910E95B20F36BECD1B0233E376DAF] => Array
                                (
                                    [name] => Difference between continuous and discrete system simulation in tabular ...
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.yjn4RRWuYwbfKgJj_riWpQHaDU?r=0&pid=Api
                                    [datePublished] => 2019-07-19T05:57:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://hi-static.z-dn.net/files/d0b/b3309d44b701abfc834762d3913809c8.jpg
                                    [hostPageUrl] => https://brainly.in/question/10142953
                                    [contentSize] => 62822 B
                                    [width] => 949
                                    [height] => 425
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.ca39f84515ae6306df2a0263feb896a5?rik=QVyGS92TAZ61Ag&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => FAD673E3320B1DCEB63F02B59E0193DD4B865C41
                                    [accentColor] => 343434
                                )

                            [62ABE5F8C74C95873A2703D6BBBE44DECEB4A917] => Array
                                (
                                    [name] => A Continuous Process for Validation, Verification, and Accreditation of ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.ogSps4efQOINFsSgWZP-KgHaIb?r=0&pid=Api
                                    [datePublished] => 2023-02-07T10:40:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://pub.mdpi-res.com/mathematics/mathematics-11-00845/article_deploy/html/images/mathematics-11-00845-g001.png?1675766181
                                    [hostPageUrl] => https://www.mdpi.com/2227-7390/11/4/845
                                    [contentSize] => 84381 B
                                    [width] => 3994
                                    [height] => 4544
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.a204a9b3879f40e20d16c4a05993fe2a?rik=Jrpej3zEWXijcg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 719A4BECED44EBBB6D3072A37859C47C8F5EBA26
                                    [accentColor] => 396892
                                )

                            [4E33C5709C66B9CA82469423B006C03B1B3386CB] => Array
                                (
                                    [name] => 2021 Honda Amaze Facelift LEAKED, Compared with Outgoing Model » Car ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.f96bzgBtxz3HzEgKd4b80wHaGU?r=0&pid=Api
                                    [datePublished] => 2021-08-04T12:23:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://www.carblogindia.com/wp-content/uploads/2021/08/2021-honda-amaze-facelift-headlight-vs-old-model.jpg
                                    [hostPageUrl] => https://www.carblogindia.com/2021-honda-amaze-facelift-vs-old-model-video/
                                    [contentSize] => 76192 B
                                    [width] => 795
                                    [height] => 679
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.7fde9bce006dc73dc7cc480a7786fcd3?rik=5DNcB8lmm6woZA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => BC6833B1B30C600B32496428AC9B66C9075C33E4
                                    [accentColor] => 4F677C
                                )

                            [BCD3C71FA8C58483F912BB4DBE65914FDD11AE23] => Array
                                (
                                    [name] => Soluble or Insoluble? — lesson. Science CBSE, Class 6.
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.Ttm6G9U7ooZvGdvtQ7NHKQHaGT?r=0&pid=Api
                                    [datePublished] => 2023-02-24T07:09:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://resources.cdn.yaclass.in/46a31fc0-c694-4102-a65a-9e36f2b710ef/Capture1.JPG
                                    [hostPageUrl] => https://www.yaclass.in/p/science-cbse/class-6/sorting-materials-into-groups-18053/the-different-types-of-materials-2964/re-2e5aec54-9214-4499-8b9b-68a0f76b9e3a
                                    [contentSize] => 33793 B
                                    [width] => 563
                                    [height] => 479
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.4ed9ba1bd53ba2866f19dbed43b34729?rik=yz188YpcSDifIQ&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 32EA11DDF41956EBD4BB219F38485C8AF17C3DCB
                                    [accentColor] => 1C96B0
                                )

                            [A9F07EB40545DA694A808EA8D0335EFC2DF18174] => Array
                                (
                                    [name] => Workplace Quality & Safety Posters | Boost Productivity & Efficiency ...
                                    [thumbnailUrl] => https://tse3.mm.bing.net/th/id/OIP.qmCCgZPzSwj68H1tMQC2twHaHa?r=0&pid=Api
                                    [datePublished] => 2025-03-01T08:38:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://eshop.visualmitra.com/cdn/shop/files/EnglishPackof6.webp?v=1740806884&width=1214
                                    [hostPageUrl] => https://eshop.visualmitra.com/products/quality-awareness-posters-pack-of-6
                                    [contentSize] => 258972 B
                                    [width] => 1214
                                    [height] => 1214
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.aa60828193f34b08faf07d6d3100b6b7?rik=mg%2fnS1BUrZakCA&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 47181FD2CFE5330D8AE808A496AD54504BE70F9A
                                    [accentColor] => 0C84BF
                                )

                            [73960132871162244BF1B505E0FB4823B87D4FED] => Array
                                (
                                    [name] => GeForce.com Tom Clancy's The Division Spot Shadow Count Interactive ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.mQ7IwLWun3BLhJarJuwRFwHaEK?r=0&pid=Api
                                    [datePublished] => 2016-03-08T14:42:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/tom-clancys-the-division/tom-clancys-the-division-spot-shadow-count-001-medium.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/tom-clancys-the-division/tom-clancys-the-division-spot-shadow-count-interactive-comparison-001-high-vs-medium.html
                                    [contentSize] => 3584597 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.990ec8c0b5ae9f704b8496ab26ec1117?rik=N2kQI3gRJkK0Hw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ftom-clancys-the-division%2ftom-clancys-the-division-spot-shadow-count-001-medium.png&ehk=vgPO74jwVOQtZkv1s8LDJUTCrpnb%2bfEtK6eFYe09kFg%3d&risl=1&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => DEF4D78B3284BF0E505B1FB44226117823106937
                                    [accentColor] => 8F5E3C
                                )

                            [F905F5B0CB3D1B30F2F888A4478C4AD43388398B] => Array
                                (
                                    [name] => GeForce.com Fallout 4 God Rays Quality (NVIDIA Volumetric Lighting ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.vkqFOv5MM-pLv0lkHbSy-wHaEK?r=0&pid=Api
                                    [datePublished] => 2015-11-19T18:56:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => http://images.nvidia.com/geforce-com/international/images/fallout-4/fallout-4-god-rays-quality-002-off.png
                                    [hostPageUrl] => https://images.nvidia.com/geforce-com/international/comparisons/fallout-4/fallout-4-god-rays-quality-interactive-comparison-002-low-vs-off.html
                                    [contentSize] => 2031234 B
                                    [width] => 1920
                                    [height] => 1080
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.be4a853afe4c33ea4bbf49641db4b2fb?rik=n1BfC7zTsQMvjw&riu=http%3a%2f%2fimages.nvidia.com%2fgeforce-com%2finternational%2fimages%2ffallout-4%2ffallout-4-god-rays-quality-002-off.png&ehk=BWxdc6SAbUIsp38JnvhWcqKvuQXvuvxG0Yyuu2FPfpY%3d&risl=&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => B89388334DA4C8744A888F2F03B1D3BC0B5F509F
                                    [accentColor] => AF571C
                                )

                            [FDC0403766894DE7887938854F94D74AAE495573] => Array
                                (
                                    [name] => Discrete-time Signal Processing (Prentice-Hall signal processing series ...
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.YaiXfv-QZYbAcCufZJ4LLAAAAA?r=0&pid=Api
                                    [datePublished] => 2021-07-15T19:25:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://m.media-amazon.com/images/I/41FCBZZTGWL._SY264_BO1,204,203,200_QL40_ML2_.jpg
                                    [hostPageUrl] => https://www.amazon.in/Discrete-time-Signal-Processing-Prentice-Hall-processing/dp/013216292X
                                    [contentSize] => 5036 B
                                    [width] => 198
                                    [height] => 266
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.61a8977eff906586c0702b9f649e0b2c?rik=3wwEc2aY1H6Ilw&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 375594EAA47D49F4588397887ED4986673040CDF
                                    [accentColor] => 676863
                                )

                            [6B552EEB4ABA6E2DA7689F812ACB79B3B9B0CBDF] => Array
                                (
                                    [name] => Needs and Wants Pictures | Resource | Twinkl USA
                                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.C5beg2JusUFH_nT2cnnvjwHaDt?r=0&pid=Api
                                    [datePublished] => 2020-09-26T04:15:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/f2/e4/us-t-2549283-needs-and-wants-display-posters-english-united-states_ver_1.jpg
                                    [hostPageUrl] => https://www.twinkl.co.in/resource/us-t-2549283-needs-and-wants-display-posters
                                    [contentSize] => 27507 B
                                    [width] => 630
                                    [height] => 315
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.0b96de83626eb14147fe74f67279ef8f?rik=tlXivqSr5tJ6hg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => FDBC0B9B3B97BCA218F9867AD2E6ABA4BEE255B6
                                    [accentColor] => 087DC3
                                )

                            [FF8590A88B648803FA29DA2913EFAA489670B941] => Array
                                (
                                    [name] => 👉 Maths in Everyday Life Poster | Maths Resource - Twinkl
                                    [thumbnailUrl] => https://tse2.mm.bing.net/th/id/OIP.V1z0jrtWYHy0hFhUGHAC3wHaDt?r=0&pid=Api
                                    [datePublished] => 2021-11-18T22:27:00.0000000Z
                                    [isFamilyFriendly] => 1
                                    [contentUrl] => https://images.twinkl.co.uk/tw1n/image/private/t_630_eco/image_repo/a2/de/t-m-1636485228-maths-in-everyday-life-poster_ver_1.jpg
                                    [hostPageUrl] => https://www.twinkl.co.in/resource/maths-in-everyday-life-poster-t-m-1636485228
                                    [contentSize] => 63156 B
                                    [width] => 630
                                    [height] => 315
                                    [cDNContentUrl] => https://th.bing.com/th/id/R.575cf48ebb56607cb4845854187002df?rik=%2f1gJirhGiDCvkg&pid=ImgRaw&r=0
                                    [isTransparent] => 
                                    [imageId] => 149B076984AAFE3192AD92AF308846B88A0958FF
                                    [accentColor] => BC630F
                                )

                        )

                    [relatedSearches] => Array
                        (
                            [0] => Array
                                (
                                    [text] => Examples of Discrete Math
                                    [displayText] => Examples of Discrete Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Examples+of+Discrete+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5818.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Examples+of+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [1] => Array
                                (
                                    [text] => Discrete Math Problem Examples
                                    [displayText] => Discrete Math Problem Examples
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Discrete+Math+Problem+Examples&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5820.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Discrete+Math+Problem+Examples
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Discrete+Math+Problem+Examples&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [2] => Array
                                (
                                    [text] => Excel Incoming/Outgoing Template
                                    [displayText] => Excel Incoming/Outgoing Template
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Excel+Incoming%2fOutgoing+Template&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5822.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Excel+Incoming%2fOutgoing+Template
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Excel+Incoming%2fOutgoing+Template&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [3] => Array
                                (
                                    [text] => Incoming vs Outgoing
                                    [displayText] => Incoming vs Outgoing
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+vs+Outgoing&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5824.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Incoming+vs+Outgoing&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [4] => Array
                                (
                                    [text] => Oncoming vs Incoming Traffic
                                    [displayText] => Oncoming vs Incoming Traffic
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Oncoming+vs+Incoming+Traffic&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5826.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Oncoming+vs+Incoming+Traffic
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Oncoming+vs+Incoming+Traffic&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [5] => Array
                                (
                                    [text] => Incoming and Outgoing Call
                                    [displayText] => Incoming and Outgoing Call
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+and+Outgoing+Call&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5828.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Call
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Call&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [6] => Array
                                (
                                    [text] => Outgoing and Incoming Designs
                                    [displayText] => Outgoing and Incoming Designs
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+and+Incoming+Designs&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5830.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Designs
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Designs&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [7] => Array
                                (
                                    [text] => Mathematical Induction Examples Discrete Math
                                    [displayText] => Mathematical Induction Examples Discrete Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Mathematical+Induction+Examples+Discrete+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5832.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Mathematical+Induction+Examples+Discrete+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Mathematical+Induction+Examples+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [8] => Array
                                (
                                    [text] => Outgoing vs Incoming Relationship Cameo
                                    [displayText] => Outgoing vs Incoming Relationship Cameo
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Relationship+Cameo&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5834.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Relationship+Cameo
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Outgoing+vs+Incoming+Relationship+Cameo&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [9] => Array
                                (
                                    [text] => Examples of Discrete Math Learned in Class
                                    [displayText] => Examples of Discrete Math Learned in Class
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Examples+of+Discrete+Math+Learned+in+Class&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5836.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math+Learned+in+Class
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Examples+of+Discrete+Math+Learned+in+Class&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [10] => Array
                                (
                                    [text] => Incoming/Outgoing Organization
                                    [displayText] => Incoming/Outgoing Organization
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming%2fOutgoing+Organization&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5838.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming%2fOutgoing+Organization
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Incoming%2fOutgoing+Organization&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [11] => Array
                                (
                                    [text] => Business Incoming and Outgoing Spreadsheet
                                    [displayText] => Business Incoming and Outgoing Spreadsheet
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Business+Incoming+and+Outgoing+Spreadsheet&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5840.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Business+Incoming+and+Outgoing+Spreadsheet
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Business+Incoming+and+Outgoing+Spreadsheet&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [12] => Array
                                (
                                    [text] => Outgoing vs Incoming Calls On Polycom
                                    [displayText] => Outgoing vs Incoming Calls On Polycom
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Calls+On+Polycom&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5842.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Calls+On+Polycom
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Outgoing+vs+Incoming+Calls+On+Polycom&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [13] => Array
                                (
                                    [text] => Incoming and Outgoing Sheets
                                    [displayText] => Incoming and Outgoing Sheets
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+and+Outgoing+Sheets&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5844.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Sheets
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Sheets&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [14] => Array
                                (
                                    [text] => Discrete Math Induction Cheat Sheet
                                    [displayText] => Discrete Math Induction Cheat Sheet
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Discrete+Math+Induction+Cheat+Sheet&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5846.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Discrete+Math+Induction+Cheat+Sheet
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Discrete+Math+Induction+Cheat+Sheet&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [15] => Array
                                (
                                    [text] => Outgoing and Incoming Equipment Tracking Chart
                                    [displayText] => Outgoing and Incoming Equipment Tracking Chart
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+and+Incoming+Equipment+Tracking+Chart&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5848.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Equipment+Tracking+Chart
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Equipment+Tracking+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [16] => Array
                                (
                                    [text] => Examples of Discrete Math at UC Davis
                                    [displayText] => Examples of Discrete Math at UC Davis
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Examples+of+Discrete+Math+at+UC+Davis&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5850.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Examples+of+Discrete+Math+at+UC+Davis
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Examples+of+Discrete+Math+at+UC+Davis&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [17] => Array
                                (
                                    [text] => Incoming and Out Coming Tracjer
                                    [displayText] => Incoming and Out Coming Tracjer
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+and+Out+Coming+Tracjer&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5852.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+and+Out+Coming+Tracjer
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+and+Out+Coming+Tracjer&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [18] => Array
                                (
                                    [text] => Incoming and Outgoing Tracker
                                    [displayText] => Incoming and Outgoing Tracker
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+and+Outgoing+Tracker&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5854.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Tracker
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+and+Outgoing+Tracker&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [19] => Array
                                (
                                    [text] => Outgoing Door Link vs Incoming
                                    [displayText] => Outgoing Door Link vs Incoming
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+Door+Link+vs+Incoming&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5856.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+Door+Link+vs+Incoming
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Outgoing+Door+Link+vs+Incoming&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [20] => Array
                                (
                                    [text] => Directed Graphs Label with Incoming and Outgoing
                                    [displayText] => Directed Graphs Label with Incoming and Outgoing
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Directed+Graphs+Label+with+Incoming+and+Outgoing&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5858.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Directed+Graphs+Label+with+Incoming+and+Outgoing
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Directed+Graphs+Label+with+Incoming+and+Outgoing&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [21] => Array
                                (
                                    [text] => Outgoing vs Incoming Trays
                                    [displayText] => Outgoing vs Incoming Trays
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+vs+Incoming+Trays&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5860.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+vs+Incoming+Trays
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Outgoing+vs+Incoming+Trays&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [22] => Array
                                (
                                    [text] => If and Only If Discrete Math Example Math
                                    [displayText] => If and Only If Discrete Math Example Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=If+and+Only+If+Discrete+Math+Example+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5862.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=If+and+Only+If+Discrete+Math+Example+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=If+and+Only+If+Discrete+Math+Example+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [23] => Array
                                (
                                    [text] => Process Incoming and Outgoing Telephone Calls
                                    [displayText] => Process Incoming and Outgoing Telephone Calls
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Process+Incoming+and+Outgoing+Telephone+Calls&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5864.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Process+Incoming+and+Outgoing+Telephone+Calls
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Process+Incoming+and+Outgoing+Telephone+Calls&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [24] => Array
                                (
                                    [text] => Discrete Math Computations vs Permutations
                                    [displayText] => Discrete Math Computations vs Permutations
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Discrete+Math+Computations+vs+Permutations&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5866.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Discrete+Math+Computations+vs+Permutations
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Discrete+Math+Computations+vs+Permutations&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [25] => Array
                                (
                                    [text] => Incoming vs Outgoing Dependency
                                    [displayText] => Incoming vs Outgoing Dependency
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Dependency&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5868.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Dependency
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Incoming+vs+Outgoing+Dependency&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [26] => Array
                                (
                                    [text] => Discrete Vs. Continuous Ex Equation
                                    [displayText] => Discrete Vs. Continuous Ex Equation
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Discrete+Vs.+Continuous+Ex+Equation&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5870.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Discrete+Vs.+Continuous+Ex+Equation
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Discrete+Vs.+Continuous+Ex+Equation&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [27] => Array
                                (
                                    [text] => Manual Regulator Incoming vs Outgoing Pressure Chat
                                    [displayText] => Manual Regulator Incoming vs Outgoing Pressure Chat
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5872.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Manual+Regulator+Incoming+vs+Outgoing+Pressure+Chat&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [28] => Array
                                (
                                    [text] => Disjunction Math
                                    [displayText] => Disjunction Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Disjunction+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5874.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Disjunction+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Disjunction+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [29] => Array
                                (
                                    [text] => Material Incoming and Outgoing Register Format
                                    [displayText] => Material Incoming and Outgoing Register Format
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Material+Incoming+and+Outgoing+Register+Format&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5876.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Material+Incoming+and+Outgoing+Register+Format
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Material+Incoming+and+Outgoing+Register+Format&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [30] => Array
                                (
                                    [text] => Basic Template for Incoming and Outgoing Accounts Records
                                    [displayText] => Basic Template for Incoming and Outgoing Accounts Records
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5878.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Basic+Template+for+Incoming+and+Outgoing+Accounts+Records&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [31] => Array
                                (
                                    [text] => Incoming vs Outgoing Depdencies
                                    [displayText] => Incoming vs Outgoing Depdencies
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Depdencies&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5880.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Depdencies
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+vs+Outgoing+Depdencies&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [32] => Array
                                (
                                    [text] => Incoming References vs Outgoing References in Flowcharts
                                    [displayText] => Incoming References vs Outgoing References in Flowcharts
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+References+vs+Outgoing+References+in+Flowcharts&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5882.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+References+vs+Outgoing+References+in+Flowcharts
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Incoming+References+vs+Outgoing+References+in+Flowcharts&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [33] => Array
                                (
                                    [text] => Icoming and Outgoing Chart
                                    [displayText] => Icoming and Outgoing Chart
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Icoming+and+Outgoing+Chart&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5884.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Icoming+and+Outgoing+Chart
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Icoming+and+Outgoing+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [34] => Array
                                (
                                    [text] => Implication Law Discrete Math
                                    [displayText] => Implication Law Discrete Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Implication+Law+Discrete+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5886.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Implication+Law+Discrete+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Implication+Law+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [35] => Array
                                (
                                    [text] => Ingoing and Outgoing Template
                                    [displayText] => Ingoing and Outgoing Template
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Ingoing+and+Outgoing+Template&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5888.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Ingoing+and+Outgoing+Template
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Ingoing+and+Outgoing+Template&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [36] => Array
                                (
                                    [text] => Excel Application for Incoming and Outgoing Letters
                                    [displayText] => Excel Application for Incoming and Outgoing Letters
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Excel+Application+for+Incoming+and+Outgoing+Letters&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5890.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Excel+Application+for+Incoming+and+Outgoing+Letters
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Excel+Application+for+Incoming+and+Outgoing+Letters&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [37] => Array
                                (
                                    [text] => Procedure for Handling Incoming and Outgoing Communications
                                    [displayText] => Procedure for Handling Incoming and Outgoing Communications
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5892.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Procedure+for+Handling+Incoming+and+Outgoing+Communications&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [38] => Array
                                (
                                    [text] => What Are Predicates in Discreete Math
                                    [displayText] => What Are Predicates in Discreete Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=What+Are+Predicates+in+Discreete+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5894.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=What+Are+Predicates+in+Discreete+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=What+Are+Predicates+in+Discreete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [39] => Array
                                (
                                    [text] => Restoration of Incoming and Outgoing Calls
                                    [displayText] => Restoration of Incoming and Outgoing Calls
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Restoration+of+Incoming+and+Outgoing+Calls&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5896.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Restoration+of+Incoming+and+Outgoing+Calls
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Restoration+of+Incoming+and+Outgoing+Calls&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [40] => Array
                                (
                                    [text] => Converse Inverse Contrapositve Negatii Discrete Math
                                    [displayText] => Converse Inverse Contrapositve Negatii Discrete Math
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5898.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Converse+Inverse+Contrapositve+Negatii+Discrete+Math&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [41] => Array
                                (
                                    [text] => What Is Discrete Math Python Example
                                    [displayText] => What Is Discrete Math Python Example
                                    [webSearchUrl] => https://www.bing.com/images/search?q=What+Is+Discrete+Math+Python+Example&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5900.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=What+Is+Discrete+Math+Python+Example
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=What+Is+Discrete+Math+Python+Example&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [42] => Array
                                (
                                    [text] => Procedures in Handling Incoming and Outgoing Communications
                                    [displayText] => Procedures in Handling Incoming and Outgoing Communications
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5902.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Procedures+in+Handling+Incoming+and+Outgoing+Communications&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [43] => Array
                                (
                                    [text] => Incoming vs Outgoing Communication Systems Slide PowerPoint Presentation
                                    [displayText] => Incoming vs Outgoing Communication Systems Slide PowerPoint Presentation
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5904.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+vs+Outgoing+Communication+Systems+Slide+PowerPoint+Presentation&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [44] => Array
                                (
                                    [text] => Discrete Mathematics Computer Science Distinct Nature Numbers Are Not Continuous
                                    [displayText] => Discrete Mathematics Computer Science Distinct Nature Numbers Are Not Continuous
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5906.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse2.mm.bing.net/th?q=Discrete+Mathematics+Computer+Science+Distinct+Nature+Numbers+Are+Not+Continuous&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [45] => Array
                                (
                                    [text] => Outgoing and Incoming Mean
                                    [displayText] => Outgoing and Incoming Mean
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Outgoing+and+Incoming+Mean&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5908.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Outgoing+and+Incoming+Mean
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Outgoing+and+Incoming+Mean&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [46] => Array
                                (
                                    [text] => Incoming Current vs Outgoin
                                    [displayText] => Incoming Current vs Outgoin
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+Current+vs+Outgoin&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5910.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+Current+vs+Outgoin
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse4.mm.bing.net/th?q=Incoming+Current+vs+Outgoin&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [47] => Array
                                (
                                    [text] => Monthly Ingoing and Outgoing Spreadsheet Idea
                                    [displayText] => Monthly Ingoing and Outgoing Spreadsheet Idea
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5912.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Monthly+Ingoing+and+Outgoing+Spreadsheet+Idea&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [48] => Array
                                (
                                    [text] => Incoming vs Outgoing Process Flow Chart
                                    [displayText] => Incoming vs Outgoing Process Flow Chart
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+vs+Outgoing+Process+Flow+Chart&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5914.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+vs+Outgoing+Process+Flow+Chart
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse1.mm.bing.net/th?q=Incoming+vs+Outgoing+Process+Flow+Chart&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                            [49] => Array
                                (
                                    [text] => Incoming and Outgoing Telephone Calls and Complete Checklist
                                    [displayText] => Incoming and Outgoing Telephone Calls and Complete Checklist
                                    [webSearchUrl] => https://www.bing.com/images/search?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist&FORM=IRPATC
                                    [webSearchUrlPingSuffix] => images.LB.1,5916.1
                                    [searchLink] => https://www.bing.com/api/v7/images/search?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist
                                    [thumbnail] => Array
                                        (
                                            [thumbnailUrl] => https://tse3.mm.bing.net/th?q=Incoming+and+Outgoing+Telephone+Calls+and+Complete+Checklist&r=0&pid=Api&mkt=en-US&cc=US&setlang=en&adlt=strict&t=1
                                        )

                                )

                        )

                    [createdate] => 1779006078055
                )

            [json_error] => No error
            [products_count] => 119
            [related_searches_count] => 50
            [first_product_sample] => Array
                (
                    [name] => Recurrence Relations - Combinatorics - Discrete Mathematics
                    [thumbnailUrl] => https://tse4.mm.bing.net/th/id/OIP.aLQ8eOcqAsENvD7XaRs79AHaIJ?r=0&pid=Api
                    [datePublished] => 2023-09-23T10:40:00.0000000Z
                    [isFamilyFriendly] => 1
                    [contentUrl] => https://www.poriyaan.in/media/imgPori/images51/n0kbTMg.jpg
                    [hostPageUrl] => https://cse.poriyaan.in/topic/recurrence-relations-50651/
                    [contentSize] => 58034 B
                    [width] => 563
                    [height] => 619
                    [cDNContentUrl] => https://th.bing.com/th/id/R.68b43c78e72a02c10dbc3ed7691b3bf4?rik=XjWq4GRl1I8zjA&pid=ImgRaw&r=0
                    [isTransparent] => 
                    [imageId] => 10BC680F61AECB95EE588C338FD46564E0AA355E
                    [accentColor] => 60656B
                )

        )

    [skipped_products] => Array
        (
        )

)

Related Searches

Examples of Discrete Math Discrete Math Problem Examples Excel Incoming/Outgoing Template Incoming vs Outgoing Oncoming vs Incoming Traffic Incoming and Outgoing Call Outgoing and Incoming Designs Mathematical Induction Examples Discrete Math Outgoing vs Incoming Relationship Cameo Examples of Discrete Math Learned in Class Incoming/Outgoing Organization Business Incoming and Outgoing Spreadsheet Outgoing vs Incoming Calls On Polycom Incoming and Outgoing Sheets Discrete Math Induction Cheat Sheet Outgoing and Incoming Equipment Tracking Chart Examples of Discrete Math at UC Davis Incoming and Out Coming Tracjer Incoming and Outgoing Tracker Outgoing Door Link vs Incoming Directed Graphs Label with Incoming and Outgoing Outgoing vs Incoming Trays If and Only If Discrete Math Example Math Process Incoming and Outgoing Telephone Calls Discrete Math Computations vs Permutations Incoming vs Outgoing Dependency Discrete Vs. Continuous Ex Equation Manual Regulator Incoming vs Outgoing Pressure Chat Disjunction Math Material Incoming and Outgoing Register Format Basic Template for Incoming and Outgoing Accounts Records Incoming vs Outgoing Depdencies Incoming References vs Outgoing References in Flowcharts Icoming and Outgoing Chart Implication Law Discrete Math Ingoing and Outgoing Template Excel Application for Incoming and Outgoing Letters Procedure for Handling Incoming and Outgoing Communications What Are Predicates in Discreete Math Restoration of Incoming and Outgoing Calls Converse Inverse Contrapositve Negatii Discrete Math What Is Discrete Math Python Example Procedures in Handling Incoming and Outgoing Communications Incoming vs Outgoing Communication Systems Slide PowerPoint Presentation Discrete Mathematics Computer Science Distinct Nature Numbers Are Not Continuous Outgoing and Incoming Mean Incoming Current vs Outgoin Monthly Ingoing and Outgoing Spreadsheet Idea Incoming vs Outgoing Process Flow Chart Incoming and Outgoing Telephone Calls and Complete Checklist

How to Discover Better Outgoing Vs Incoming In Discrete Math Examples Options

Try combining terms like fit, fabric, or occasion with your core query. For example, add words like oversized, linen, party, office, or wedding to get more targeted fashion product discovery results.

Search Help

How can I find better fashion options for this search?

Use related searches, refine your keywords by style or occasion, and compare multiple product cards before opening store pages.

Are these results from one store only?

No, Styleberry is a discovery layer that surfaces fashion products from multiple sources to simplify comparison.

Can I search using occasion terms like office or wedding?

Yes, occasion keywords often produce stronger and more relevant results for fashion discovery.

Search