{"pages":{"search":{"query":"Discrete Mathematics","originalQuery":"Discrete Mathematics","serpid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","parentReqid":"","serpItems":[{"id":"10653760658944869312-0-0","type":"videoSnippet","props":{"videoId":"10653760658944869312"},"curPage":0},{"id":"12117964817532335009-0-1","type":"videoSnippet","props":{"videoId":"12117964817532335009"},"curPage":0},{"id":"3996431818349275764-0-2","type":"videoSnippet","props":{"videoId":"3996431818349275764"},"curPage":0},{"id":"11028985195965863570-0-3","type":"videoSnippet","props":{"videoId":"11028985195965863570"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dERpc2NyZXRlIE1hdGhlbWF0aWNzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","ui":"desktop","yuid":"9104316531769654725"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"14585013118010421031-0-5","type":"videoSnippet","props":{"videoId":"14585013118010421031"},"curPage":0},{"id":"5302224489571786016-0-6","type":"videoSnippet","props":{"videoId":"5302224489571786016"},"curPage":0},{"id":"14662113364920911116-0-7","type":"videoSnippet","props":{"videoId":"14662113364920911116"},"curPage":0},{"id":"15444969218687190902-0-8","type":"videoSnippet","props":{"videoId":"15444969218687190902"},"curPage":0},{"id":"10856230078356215835-0-9","type":"videoSnippet","props":{"videoId":"10856230078356215835"},"curPage":0},{"id":"1232497036259563773-0-10","type":"videoSnippet","props":{"videoId":"1232497036259563773"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dERpc2NyZXRlIE1hdGhlbWF0aWNzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","ui":"desktop","yuid":"9104316531769654725"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"17190620922100110040-0-12","type":"videoSnippet","props":{"videoId":"17190620922100110040"},"curPage":0},{"id":"1474508492295917550-0-13","type":"videoSnippet","props":{"videoId":"1474508492295917550"},"curPage":0},{"id":"12826079058440655133-0-14","type":"videoSnippet","props":{"videoId":"12826079058440655133"},"curPage":0},{"id":"15701493437747065915-0-15","type":"videoSnippet","props":{"videoId":"15701493437747065915"},"curPage":0},{"id":"7817471422973530452-0-16","type":"videoSnippet","props":{"videoId":"7817471422973530452"},"curPage":0},{"id":"4109035255754998327-0-17","type":"videoSnippet","props":{"videoId":"4109035255754998327"},"curPage":0},{"id":"6029006925988676856-0-18","type":"videoSnippet","props":{"videoId":"6029006925988676856"},"curPage":0},{"id":"8931498498084010753-0-19","type":"videoSnippet","props":{"videoId":"8931498498084010753"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dERpc2NyZXRlIE1hdGhlbWF0aWNzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","ui":"desktop","yuid":"9104316531769654725"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDiscrete%2BMathematics"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"7356131690713297744791","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1472323,0,45;1470500,0,65;1414493,0,39;1473738,0,15;1476204,0,64;1471964,0,67;1460717,0,9;1460214,0,24;1152684,0,15;1472010,0,30;1459323,0,84;1383553,0,93;1431641,0,30;1464523,0,95;1463533,0,67;1466295,0,63;1465958,0,57;1475924,0,82;1467148,0,35;1452015,0,72;1349038,0,94;1474027,0,99;1470513,0,55;188944,0,61;1471671,0,89;1471179,0,57;298,0,71;1297912,0,30;151171,0,1;126322,0,34;1281084,0,4;287509,0,11;1447467,0,90;1254301,0,92;1473595,0,87;1467128,0,49;1476852,0,93"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDiscrete%2BMathematics","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Discrete+Mathematics","settingsUrl":"https://yandex.com.tr/tune/search/","helpUrl":"https://yandex.com.tr/support/video/","legalUrl":"//legal.yandex.com.tr/termsofuse/","feedbackUrl":"https://yandex.com.tr/support/video/troubleshooting.html","basename":"/video","currentPageName":"search","isYandexApp":false,"isYandexAppAndroid":false,"isYandexAppIos":false,"isAnyYaBro":false,"isAndroid":false,"isHamster":false,"serpid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Discrete+Mathematics","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Discrete Mathematics: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Discrete Mathematics\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Discrete Mathematics — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y75cedfd886902e878b470bca9f8c40c3","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1472323,1470500,1414493,1473738,1476204,1471964,1460717,1460214,1152684,1472010,1459323,1383553,1431641,1464523,1463533,1466295,1465958,1475924,1467148,1452015,1349038,1474027,1470513,188944,1471671,1471179,298,1297912,151171,126322,1281084,287509,1447467,1254301,1473595,1467128,1476852","queryText":"Discrete Mathematics","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9104316531769654725","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1475824,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769654786","tz":"America/Louisville","to_iso":"2026-01-28T21:46:26-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","isEmbedded":false,"shouldShowMainPageButtonInViewer":false,"shouldDisableWebp":false,"removeLinkPrefix":"/video","shouldUseHighresPreview":true,"shouldCutSnippetTitle":true,"shouldShowPlusBadge":true,"reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1472323,1470500,1414493,1473738,1476204,1471964,1460717,1460214,1152684,1472010,1459323,1383553,1431641,1464523,1463533,1466295,1465958,1475924,1467148,1452015,1349038,1474027,1470513,188944,1471671,1471179,298,1297912,151171,126322,1281084,287509,1447467,1254301,1473595,1467128,1476852","queryText":"Discrete Mathematics","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9104316531769654725","uid":"0","isChildAccount":false}},"deviceDetect":{"OSFamily":"Unknown","isTV":0,"x64":0,"GoogleToolBarVersion":"","MultiTouch":0,"BrowserBase":"","YandexBarVersion":"","isTablet":0,"YandexBar":0,"hasWebOmni":0,"isTouch":0,"hasYandexCamera":0,"isMobile":0,"DeviceKeyboard":"","device":"desktop","TurboAppPlatformVersion":"","historySupport":0,"BrowserShellVersion":"","DeviceVendor":"","isBrowser":0,"hasFlash":0,"MailRuSputnikVersion":"","isSameSiteSupported":0,"BrowserBaseVersion":"","BrowserVersionRaw":"","hasWebVert":0,"DeviceId":"","error":"","MailRuAgent":0,"ScreenWidth":0,"inAppBrowser":0,"hasHTML5":0,"isEmulator":0,"J2ME":0,"MailRuAgentVersion":"","BrowserEngineVersionRaw":"537.36","isRobot":1,"__is_plain":1,"BrowserEngineVersion":"0537.0036","BrowserName":"Unknown","DeviceModel":"","BrowserEngine":"WebKit","DeviceName":"","OSVersionRaw":"","OSName":"","GoogleToolBar":0,"ScreenSize":"","isTurboApp":0,"MailRuSputnik":0,"YaBuildName":"","isWAP":0,"PreferMobile":0,"DesktopMode":0,"BrowserVersion":"","BitsPerPixel":0,"BrowserShell":"","YaGUI":"","isBeta":0,"OSVersion":"","ScreenHeight":0},"nonce":"7356131690713297744791","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":163,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"9104316531769654725","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1757.0__1e42d45c824ef14ef6767326055fb713b0c3a145","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","feedback":"296","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"10653760658944869312":{"videoId":"10653760658944869312","docid":"34-2-12-Z8DD33442D96F00CA","description":"Learn discrete mathematics in this beginner's course. Discrete mathematics plays a key role in IT solutions, used in machine learning, accelerating queries in search engines and databases, in...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3657528/bc8a8f9ef40ee5f11f0ad3f885d50a32/564x318_1"},"target":"_self","position":"0","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DG9JxuWk7BDA","linkTemplate":"/video/preview/10653760658944869312?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics Course for Beginners","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=G9JxuWk7BDA\",\"src\":\"serp\",\"rvb\":\"ErADChQxMDY1Mzc2MDY1ODk0NDg2OTMxMgoUMTIxMTc5NjQ4MTc1MzIzMzUwMDkKEzM5OTY0MzE4MTgzNDkyNzU3NjQKFDExMDI4OTg1MTk1OTY1ODYzNTcwChQxNDU4NTAxMzExODAxMDQyMTAzMQoTNTMwMjIyNDQ4OTU3MTc4NjAxNgoUMTQ2NjIxMTMzNjQ5MjA5MTExMTYKFDE1NDQ0OTY5MjE4Njg3MTkwOTAyChQxMDg1NjIzMDA3ODM1NjIxNTgzNQoTMTIzMjQ5NzAzNjI1OTU2Mzc3MwoUMTcxOTA2MjA5MjIxMDAxMTAwNDAKEzE0NzQ1MDg0OTIyOTU5MTc1NTAKFDEyODI2MDc5MDU4NDQwNjU1MTMzChQxNTcwMTQ5MzQzNzc0NzA2NTkxNQoTNzgxNzQ3MTQyMjk3MzUzMDQ1MgoTNDEwOTAzNTI1NTc1NDk5ODMyNwoTNjAyOTAwNjkyNTk4ODY3Njg1NgoTODkzMTQ5ODQ5ODA4NDAxMDc1MwoUMTcwNzY3MTkwNjIxNjE0ODUxMTkKFDE3MDAyODE0Mjk0MzE5NTk5MDc5GhYKFDEwNjUzNzYwNjU4OTQ0ODY5MzEyWhQxMDY1Mzc2MDY1ODk0NDg2OTMxMmqwDRIBMBgAIkYaMQAKKmhoY3lsZ2VzemFvZ2JxcWRoaFVDOGJ1dElTRndULVdsN0VWMGhVSzBCURICABIqEcIPDxoPPxPg_wGCBCQBgAQrKosBEAEaeIH0_Pb-Af8ABAAFBwEJ_AIM_voJ9v__AP__8_v8Bf4A_P8IAwEAAAD2BPgC-AAAAAD78Q34_gAABgb8-vsAAAAhDf34-wAAABYG_wD-AQAA__H7AQP_AAASCggB_wAAAOwO9P7_AAAA_AgIBQAAAAAKAvUBAAAAACAALYVB0Ts4E0AJSE5QAipzEAAaYPgFABwODALJGDj63fPbBxwIG84Z5O7_3P0ADRDt-BYX9NQL-P8N0AHmwwAAABcA3w0hAPFPy8rRGhENGNQD-QsNf-8J8hYe-g7nLxXk5CAgDQgJPAAJ6PoTCPvZRPgcLCAALUkDWTs4E0AJSG9QAiqvBhAMGqAGAAAQQQAAoEEAAJhBAACgwQAAwEAAANDBAACOQgAAcMEAABzCAADowQAAiEIAAADDAAAwwgAAuMEAAOhBAADgwAAAmMEAAPDBAAAAQgAAIMEAAGTCAACawgAA-MEAAIBBAABwwQAAYMIAALDBAACWwgAA2EEAAOBBAAAowgAAAMEAAJjCAACwQQAApMIAAPjBAAAQQgAAREIAAGBBAAB8QgAAXEIAAAAAAAAsQgAAgEAAAEBAAACmwgAADMIAAODBAADYQgAAIEEAADzCAAAcwgAAoMAAANhBAAAsQgAAoMAAAADDAAAwQQAAoMEAAOBAAACGQgAAgMAAAADCAAA4wgAAwMEAAHjCAAAEwgAAiMEAAHDBAABcwgAAJEIAADxCAAAgwgAAgkIAAKBAAAAowgAA4MAAAADBAACAwQAAEEIAACTCAABQQQAAmMEAAAxCAABAQQAAGEIAAIA_AADAQQAAVEIAAKbCAABAQQAAbEIAADDBAAAQwgAAwMAAADzCAADQQQAAyEEAAKhBAADgQAAAaMIAABBCAAC4QQAAxsIAAMDBAAA4wgAA4EAAANBBAACgwQAAkkIAABhCAABMQgAAMEEAAODBAACAPwAA-EEAADjCAABQwQAAwMAAAIBAAAAAwgAA0MEAAKjBAAA0wgAAGEIAAGBCAAAYwgAAQEAAAITCAAAAwQAAgD8AAIA_AACIwQAA8EEAAADCAABQQQAA0MEAACRCAACAwAAAVMIAALBBAADAwAAAgL8AAPDBAACWQgAAgMAAAIC_AABQQQAA-MEAAABBAADIQQAABEIAANhBAAAAwgAAcMEAAPjBAABwwQAAksIAAHjCAABsQgAAbMIAAAxCAADAwAAAgL8AAEDAAABUQgAAWEIAAKpCAAAoQgAAoEAAABDBAADIQQAAEMEAALDBAACAvwAAFEIAAIBAAABwQQAAuEEAAJpCAAAAwAAAjsIAAGDBAAAgQQAAHEIAAMBAAAB0wgAALEIAACDBAADQwQAAbMIAAEjCAAAAQAAAuEEAAMBBAACoQQAAYMEAAJDBAAAMwgAAvsIgADgTQAlIdVABKo8CEAAagAIAAGS-AAAwPQAA0j4AAEC8AABAPAAAIT8AAKI-AABZvwAAvr4AABS-AAD4PQAAsr4AANi9AAAwPQAAML0AABS-AACmPgAAQDwAAI4-AAA1PwAAfz8AAN6-AABsPgAAoLwAANi9AACGvgAArj4AAGw-AAD4vQAA3j4AAOo-AACYvQAAqD0AAMI-AAA8vgAALD4AAOC8AADKvgAA8r4AAOA8AADIvQAAEb8AAFw-AADYvQAAEL0AAHC9AACmPgAAyr4AAFy-AACOvgAABL4AAEC8AADSPgAAgDsAAKg9AAD4PQAAez8AABA9AAAEPgAAiL0AANi9AACWPgAADD4AAFw-IAA4E0AJSHxQASqPAhABGoACAACSvgAAyL0AAHS-AAA5vwAAFL4AALg9AAC6PgAATL4AAHA9AABwvQAAQLwAAHS-AADgvAAAXL4AABQ-AABAPAAAPD4AAAs_AAAEvgAA2j4AAHC9AACoPQAAPL4AAKA8AABwPQAAED0AALi9AACAOwAAuL0AALi9AAAMPgAAmD0AAOA8AABAPAAAtj4AAIi9AACGPgAATD4AAKa-AABQPQAAdD4AAOA8AACAOwAAED0AAFS-AADIvQAAf78AAOA8AAB8vgAA2L0AAFw-AADYvQAAcD0AADA9AAAEPgAABD4AABC9AAAMPgAAED0AABC9AADIPQAAMD0AAKC8AABUPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=G9JxuWk7BDA","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10653760658944869312"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"12117964817532335009":{"videoId":"12117964817532335009","docid":"34-6-5-Z7C959F4586CEF292","description":"Discrete Mathematics: Introduction to Discrete Mathematics Topics discussed: 1. What is Discrete Mathematics? 2. What is the need to study Discrete Mathematics? 3. Discrete vs. continuous objects.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2462583/9b13c0b6d3b42e246e48c70a97af9e84/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/BZZMAgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dp2b2Vb-cYCs","linkTemplate":"/video/preview/12117964817532335009?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Discrete Mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=p2b2Vb-cYCs\",\"src\":\"serp\",\"rvb\":\"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_E8AEggQkAYAEKyqLARABGniB7QT79wP8APsDAw8LCfoCFgX3BvQBAQD0APTzAwL_AOf4BAcJ_wAA-hHv_wQAAAAH_AoM-v0BAAQDBAP7AAAAFw3x-QAAAAAdEv8A_gEAAPT-BAUDAAAADhcLAQAAAADxDP_--v8AAAkYB_4BAAAACQr7BAAAAAAgAC2c1cY7OBNACUhOUAIqhAIQABrwAW76IwHJCOEADQjcAN0pxwGB7Rz_JSb2AMDyCgCyEc__CQn4AOTT7__6ABL_tv7qAfz50f4C_RwALPsi_ykEJgEBGBEBIfoYASENCwAb8-UB6Tj8_x7rKwIb6egAAhXqAxzyEfzVDPIAAAbjAw7-OAEXEfAAOfkKA90gHAb_DyYA5gPpAAL5Jv_z8gb43BgdAQIU8wUUEOoB1yMKBCsBBAf74QMJAA_w-DEI8_zhDvj21_AL-vgX5_slAhEBCg7t_97jCfcH5_8A7AsDATLtDvz7BxwC8_QMBwn34AH-0An36QcFAego9__oGAT4GvcB9SAALUFaJTs4E0AJSGFQAirPBxAAGsAHwacFv9SVFTxyw--8WsitPDPcQD2eYpW8lyy4PLcN_jwxdXy8CbLUvAWSRj12Oza9dHzEvhyE7zyZ2i29cqesPi0la73hSHu8huMJvt8g9TysASq99aFrvoTTBz10NcO7zaZIPPOOkzzMDUE90usFPWaDzLzVIgK9AZzFu33-wbugkm69GBwqvb5Oir0GDgu8uD8XPv5HJr2aKJ28bEhXPbHs-LxUhpa8M_cUvE2a67zQQw29v7WDvXmKgTxaaQy7hNjZPdT1nzx3nTc6hkTQPKuZEL2knPm82Ww2PdwAojw2Etc7WkAyvYuauT3McgK8IJDVPIqXQLv7FoS7UwlqvUQ2oD2YZ0U6_c-7PXi5iD2rJoi8FJsKvV01Tz34JVE8YYg8PSHJLL1h3Z0756cIPrEsXT1G8nC7My02PSAqTT2lKx47jUolPdYjKD0s85Y8Z4dOPb2A6DwJQuQ6l97jvO7x3TylYb67Vh_ZvMoDbLtk2si8vZ_EPWqdXTyp76E82S4GvMyh-zzaM_A6tpInvc5CEb3tQe-7vjCZPMcXxDqU1oS8oPOkPF8eFz0ws_i6E8oMPZgkhbyYQrG7rHH2vHyPZL2Awo86pH29PXPJh70vyC87LL0xvfqMNT3tCK86D6cCvQHxRL0FBiC8hSe0vCxG3Ty5kGQ7ls7HPL87g7y_9uU7YYIEPfql9Dwg-6y7uOWjPDiejzxGwgy70PPCPMPttbyttDW7jUEKPEB1ILxEaCk7xqQ_vOQEt7w8_vm41Td1PSsWj73usMs5tyn9On-6Rj01-k45vyEHuuQ-xTtO1gw6eF7PvFlf7rzdghg5kvNUvSc2ir2fqgm5r2slvZN9Rrx_pTa6ylOWPJOHqjwSrwA6EZMLvVuIhDwQ_8o4ZUSYvHJTQz2tGTG3YB3HPDaxGz1eFFm4wYwJPSws-jvfoVc6_cYSPRma4bzZlXq4s00ivLVo5jzjbmk3cAorvXE5nrzLPoW4zfIrvOMmmT3azh-46FGMvFpAcj0J5bw3sYXFPEYfmDyAlD-5UkjPuz48q71PsuQ4LueSPRbgNj0nJxa5yTirvfyUPr1TlPu3_mkevcj5kbzZfq24hqp4PbUiAL3aLwM4OOyEuhHuxLwrB143weMrPtylaLwHiXS5vOZ6PJxJID2PQzY4zC-evMoSwrzZIXE3zn5NO4v_mrvJ5_S3YQZ5PfM6Er5L56m4ITK2PDs54z0EGwY5KGXSvTYdgT31H9S46FWzvRYk7DzNuCE45cEsPRSljrxsGQq3IAA4E0AJSG1QASpzEAAaYP8EABgADsnVO13wzdDVBdT5JMQxzez_xOn_C-7B5_wD1NbkAf8GuxPfowAAAAvi-hoeANB7w8_IUATy8sDb-CQqfwczJsIH7gmzLDj00PUzKfnSRQD_5pE4UAauCvv_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_AACAPwAAoMAAADhCAACkwgAASMIgADgTQAlIdVABKo8CEAAagAIAAFS-AABQPQAAjj4AADC9AAAwvQAAKT8AAJg9AABZvwAAvr4AAGy-AAAEPgAA0r4AAPi9AAB0PgAA4DwAAFS-AACePgAAiL0AAFw-AAAnPwAAfz8AALa-AAA0PgAAFL4AADS-AABkvgAAiD0AACw-AACAuwAAsj4AANo-AACuvgAAMD0AAIY-AABQPQAAmD0AAAS-AACCvgAA3r4AACS-AACovQAAbL4AAEw-AAAEvgAAuL0AAES-AADaPgAA3r4AAFy-AADivgAAmr4AALi9AAA8PgAAmL0AACS-AAD4PQAAQz8AAHw-AAAcPgAAHD4AAOi9AAA8PgAAPD4AADQ-IAA4E0AJSHxQASqPAhABGoACAAAEvgAAgLsAAJK-AAAfvwAAFL4AABQ-AABEPgAAFL4AADA9AAAkPgAAMD0AAIA7AADIPQAAML0AAEQ-AADgvAAAMD0AABc_AABsvgAABz8AAKC8AACgvAAAQDwAAPi9AABQPQAAiL0AAIC7AADYPQAALL4AABC9AAD4PQAAMD0AABA9AACIPQAAsj4AAJi9AAD4PQAAoj4AAEy-AAAQvQAArj4AAHC9AAAwvQAAUL0AAAy-AADovQAAf78AAFA9AAA8vgAAiL0AAOg9AABQPQAAiL0AAFQ-AABQPQAAJD4AAIi9AADIPQAAyD0AAIC7AACYPQAADD4AAKg9AACIPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=p2b2Vb-cYCs","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["12117964817532335009"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2079840704"},"3996431818349275764":{"videoId":"3996431818349275764","docid":"34-10-0-Z10617BDE86CF0DF7","description":"Welcome to Blearning Club — your one-stop channel to master mathematics and computer science concepts easily! In this first lecture of the Discrete Mathematics series, we explore what Discrete...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3906634/803b07921df50870ef23d1a8b035a97d/564x318_1"},"target":"_self","position":"2","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dbc0NV0KVqMQ","linkTemplate":"/video/preview/3996431818349275764?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics Lecture 1: Introduction & Basics | For Computer Science & Mathematics Students","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=bc0NV0KVqMQ\",\"src\":\"serp\",\"rvb\":\"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_4A_wEA-wMDDgoI-wIP8_oB9gD_APUF9f31Av8AAvr7__8BAAAGE_YA_gAAAPj5-hD__wAABAT3BwQAAAAgDf35-wAAABcG9fn-AQAA8Pv8AwMAAAASCggB_wAAAPAD-vr-_wAABgwG_AAAAAAICfsDAAAAACAALQhh1Ts4E0AJSE5QAipzEAAaYCUSAEYjAuDBJlbu_OXO8e_vKcEDs-P_3Bv_Ai3I2_AO9sAKBf8dvAjtqAAAAAEC3RsqANh36dGxMw0ZFbbr8fcmfwYZ5_5EDvatWDPa9jYlBND-IQD7zPsLC_WkMtgjIyAALcNtHDs4E0AJSG9QAiqvBhAMGqAGAABAQQAADEIAADBCAAAwQgAAMEIAAGBBAADgQAAAcMEAADzCAACowQAAmkIAAADCAAA4wgAAgMEAALBBAADgQAAAgD8AAEBCAAA4wgAAAEIAAHDBAACIwQAAIMIAAHBCAAA8QgAA-EEAAFDCAACUwgAAgEIAAIC_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-MEAAAzCAACAwQAA4MEAAMDAAAAAAAAAoEAAABjCAACiQgAAsMEAABBBAADgwQAAoMEAAEDBAAAQwQAAnEIAADRCAACoQQAAoMAAAETCAAA0QgAADEIAABRCAADgQAAAbEIAABzCAADIwQAAiEEAAIZCAAAEQgAA0MEAACDBAACAPwAANEIAABDBAAAQQQAAmkIAAJDBAADgwAAABMIAAFzCAAAQQgAAAEAAAMBAAACAPwAAcMEAAKDAAADSwgAAgEEgADgTQAlIdVABKo8CEAAagAIAADS-AAAEvgAAPD4AAEC8AABQvQAA-j4AAIA7AAA5vwAAnr4AAEy-AABMvgAAor4AAHC9AACKPgAA-L0AAOC8AADuPgAA6L0AACQ-AAApPwAAfz8AABS-AACyPgAAcL0AAIi9AAA8vgAAJD4AAEA8AAAcvgAARD4AAL4-AABMvgAAuD0AAPg9AACAOwAADD4AAFC9AACOvgAA3r4AADS-AABsvgAAbL4AAKo-AAAUvgAAgDsAADS-AADCPgAAvr4AAHy-AAAPvwAAlr4AAKK-AACGPgAABD4AABA9AACgvAAAaz8AAEw-AADIvQAA2D0AAMi9AACyPgAAMD0AAGQ-IAA4E0AJSHxQASqPAhABGoACAAAUvgAAQDwAAAy-AAAXvwAAEL0AAKA8AABEPgAADL4AAIC7AABwPQAAEL0AANi9AACIPQAAXL4AAAQ-AACAOwAAqD0AAA0_AACIvQAA5j4AALg9AACIPQAA2L0AAMi9AADIPQAAcL0AAKC8AABwPQAAhr4AAEA8AADIPQAAmD0AAJg9AAAQPQAATD4AAAy-AADgPAAATD4AAJK-AACIPQAARD4AAOC8AADYPQAAUL0AAJi9AABEvgAAf78AADA9AAAUvgAA6L0AABw-AABAvAAAiL0AADA9AADoPQAA2D0AAIi9AAAwPQAAEL0AAIg9AACIvQAAoDwAABA9AADYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=bc0NV0KVqMQ","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3996431818349275764"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11028985195965863570":{"videoId":"11028985195965863570","docid":"34-1-8-ZB495391C7285D347","description":"🔥1000+ Free Courses With Free Certificates: https://www.mygreatlearning.com/acade... Discrete mathematics is the branch of Mathematics concerned with non-continuous values. It forms the basis...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4246625/61c0c3e058a63caff1f16286379ac2be/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ri5k9QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFMh8qNV3PHk","linkTemplate":"/video/preview/11028985195965863570?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basics of Discrete Mathematics | Discrete Mathematics Full Course | Great Learning","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FMh8qNV3PHk\",\"src\":\"serp\",\"rvb\":\"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_QL7BQD7AwMNCgj7AvoD_wH5_f0A_vv99fwF_gD99gYDAgAAAP4H9Af8AAAA-Pr7D___AAAEBvsH-QAAABUL8_oAAAAAFAX_AP4BAAD1-_78AwAAAAoJBPv_AAAA_Qb5_Pr-AAH-DwUAAAAAAAcI-wMAAAAAIAAtWULiOzgTQAlITlACKoQCEAAa8AF_3_oBu-3W_wb03gDfHgoCmxMM_zISywDJECEBsNTkAMgl6ADPAeD_5hAhAcr4Lv8XBdn_Hc8HASbt8v8S8P8A8xsFAU3O9gFY6w8ABPfxAOwJIwD4-iUAJvb9AAAk-f_sAxX9B_vdAe8DxwIw8B0CDAcoAwEQJP3RABD96hHzBfbs8fvxBDAD7_fs__blJgTd0fj8B-8RB-EwBQMICukGEAAI-AwR1AAw-uQC-Ojz-_ABCAAK5uoCAwgZAtj0-wT09yMC3OPp-_EUCPEZ4f4B5QD4BQjg6wEfB_0G_s8J9_Dj7vcQ_Qv33wH-B-UE_wMgAC1_giE7OBNACUhhUAIqzwcQABrAB7fs2L5dd6k8sdTEvKn3FLxEJcO7dy7MvNnfw71-Ors7gL6IPOpRgjwRPm-8B_XIvLcNk74bVBM8G7QcvWdimj5OOpu8Gu9YPFjH0b0MvIk8bAN8vfWha76E0wc9dDXDuwlrIz6sKR89o3nAPGFdiz1SD9E8kAsTPV0Xvr1dlqW8ks1Vve56Kb7cy6e9Rn1tvNfqwT038JS9CekfPMa-qT1PKlA8SRwLPAohEDybDzm9dW-oukMRfL2oRwS9mWr_u_c_ED4XoG28n0nyO9z0F77kIki9l576u1WKXb0c45S8jQUKvZVShj0jMcE8u2VivPBuYD1bVTu9VthnvGzp0b2pVqU9bRrbvPB_bD1mqcA95WUJPMZhqr2rW5097tSaO6Rupzz90kc8Frq3vM98oz24MlI9p9BUPOl2AD0wYgQ9GwfFO6oeRrqAgYA9VNNkPDISa7wz9Ne7uFLTu8esuD00iZU8SmoZPNsBEr0olgC96kQbugrq5bzXBEc9xSEXPESrbryGIji82fBPvEVcpTxzuPa95AQ3PIABDj3uGJi9w3mdvE2mJT1qeW8969gQPGByqD1HPg48oH8Ku-cWH72NR6m8-QOzugO9Jj00v_W8lFC4Owjb2byRyp48oB42vPxlQbyF7Nm7h0I6vMSSdjvfb6Q9XEDDOrjSBj0IVtW9ProSuhR5Ej0rWi89JPsUuxqX4DwKcoa8y8eHuzauvzwLwpu9wz3GuGEInz3SCoI8c1iOOsyNMzyKZ5q9tbXmuB-i0T1Y-B-9edGKOIEKQj0P1RA8Yc0zuNbsp73g-3Y8-TskOX5Rhz2OEze6P3dnub7F4DusUxW-pozJORmh6byUOwI9tF3RuRTzpz1_PYU9zihiuMwgw73UDQS-CFOFOUNxh73LvBe8AyGfuLDzsD0T3307Eyyft78HlLwiqou8skUGuYWxibuS-vw7OoxCuOGWzz1wXlw9ppRwuHsS2LzPBmq98aehOOOncTyfeXQ98GkGue7gkb2KPvo8Qhiit6XUyjxieeO65ILiuPPMxj3l04O9YwmPNy33uDwPiow9qb2KuCL7AL7GXyQ9F5hlOAexs7yBQRA7avJkN7E0sDxeO0c9uXhAOCZmZ71NnME88j8JOLEVBD7G__g7MtlTuKwbT71wAGK9cfqiuNjJSr0MUES9WsCquLU9EL0vZ9s88OEAuFyooT19xJS9uKGWN1UYpj1tC8U9g8fnOC_BKbwKxMY8W0yWuN4R37u-E7M8WmittyCz87yvOEE8Qf3_NyAAOBNACUhtUAEqcxAAGmAQ-gAqCCTu6iY85dzQ7P_67xm5D-XxAOfqAOwK6_MBGN3G8An_C9L15rkAAAAU9tb8DwDhXsfRzCDrAg_D7-UTD3_gIh3fFQ4Oyy8bD80oBifgHEkA9-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-EEAAEDAAAAEwgAAAEAAAAjCAAAEwgAAyMEAAIjBAAAswgAA2EEAAJpCAABUQgAAZMIAAGTCAADAwQAAHMIAABxCAABMwgAAkMEAAHhCAABgwQAAQEEAAMhBAACgQAAAgMIAACTCAAAAAAAAVEIAALDBAAAAwgAAEEEAAKBBAACIwQAALMIAACzCAAAwQQAAoEAAABjCAADwwQAA0MEAAMBAAAAcwgAAIMEAAMjBAAAswgAA4kIAAKBAAACAwAAAwMAAABDBAAA8wgAAIMEAABxCAAAcQgAAbEIAAKBBAABcwgAAUMEAACDBAABAwgAA4EAAAIBBAACAwgAAQEEAAIhBAACCQgAANEIAAIDAAADAwAAAIMEAAEhCAACAwQAAIMIAAEBCAABAQAAAcMEAAFDBAAAIwgAA6EEAADDBAABUQgAAIEEAAFDCAACAvwAAFMIAALTCIAA4E0AJSHVQASqPAhAAGoACAADavgAAoDwAADw-AAAsPgAAUD0AAC8_AAAsPgAAcb8AABy-AADKvgAA4LwAAO6-AABQvQAA-D0AAIA7AAAQvQAA0j4AAMi9AACGPgAAUT8AAH8_AACqvgAAij4AAJq-AABAPAAABL4AANg9AACgPAAALL4AANo-AAAPPwAAHL4AAKA8AADKPgAAqD0AAGw-AABcvgAAgr4AAAm_AAA8vgAARL4AAIq-AAC-PgAAML0AAKA8AADYvQAADT8AAN6-AADWvgAA-r4AAJ6-AADKvgAAuj4AAJi9AAAEPgAAcD0AAH8_AAB0PgAAML0AAGS-AACIvQAAhj4AAFC9AADoPSAAOBNACUh8UAEqjwIQARqAAgAAdL4AAOC8AAA8vgAAIb8AABy-AAAwPQAAkj4AANi9AAAwvQAA4DwAAOi9AAAkvgAAgDsAADy-AAAkPgAAQLwAAMg9AAATPwAANL4AAMo-AACgPAAAoLwAAPi9AABAvAAAiD0AAOA8AAAkvgAAmD0AAES-AACYvQAAiD0AALg9AABAPAAAoLwAAI4-AABwvQAAgj4AACw-AAB8vgAA4LwAAEQ-AAAQvQAAML0AAOA8AAAwvQAAHL4AAH-_AAAQvQAAfL4AAPi9AAB8PgAAgLsAAKC8AAAMPgAAgLsAANg9AABwvQAAHD4AAHA9AABwPQAAuD0AABw-AAAQPQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=FMh8qNV3PHk","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["11028985195965863570"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"4231325861"},"14585013118010421031":{"videoId":"14585013118010421031","docid":"34-1-13-Z2391190DF23400C4","description":"We introduce a bunch of terms in graph theory like edge, vertex, trail, walk, and path. #DiscreteMath #Mathematics #GraphTheory Support me on Patreon: http://bit.ly/2EUdAl3 Visit our website...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1523374/70203cc95f8c93c5ef441d58e3194d1e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/GtcFLgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHkNdNpKUByM","linkTemplate":"/video/preview/14585013118010421031?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to graph theory - discrete mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=HkNdNpKUByM\",\"src\":\"serp\",\"rvb\":\"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-AgD4BwUIAAb9AgwA-_r2AAAA9QD19AMC_wDz7f_1Af8AAPoL-wMCAAAABwYDBfn9AQANBvUDBAAAABYM8vkAAAAAGxH_AP4BAAD8-AL_Av8AABAO_f3_AAAA-v0C_f3-AAD8GwMFAAAAAAwE_fsAAAAAIAAtuojVOzgTQAlITlACKoQCEAAa8AF3BwgB4g_JAtkEzADHFuD_gSIK_v0x1QDO9_8AvPfKAPn63QDS_AAAJP8RALoR7v8w2NP_A8sU_zv_6f8-4hgA4xIEASPW9AE1DxYC__Pj_t4MCv4P6___Ctzp_wwAAPwhGh0ABSPxAe4DxQIO_jsB7goXBSoSGQHN3hMC1hQCAfET1_0LAPYJC-r_A9oEIAIl-AQEIAcF__EK7AQW0AH-DtkM_Bsa4_4n3PcBAAf1-t3P-gYN8f37_PoXCvYk7f_z9yQC2ecA-AEIBPQp7AcF1w_8APvpBQgU_AYODN_7AxDu8wDpAgEIDP0HBgUN9wIgAC3_IR07OBNACUhhUAIqzwcQABrAB-l-xr58vgG9KJQqPFPkVb1R3oc8i-IwvCrgHr4D7lk9c1WPvBiYBT6AM-s7f7O9u5aTQL6izKs86NJkPBSUQj5GRRy9c-gAvHoXL74IPDA9KZ_UvEW89b1n6MQ8rLgnvNz1Ej2RC868oAcQu-DZfj1ScU29zTdHvOHlLj1DN3u8N32svJita70X5UO9vEkCvV0voj1Ipdi8R0mZvLxa7j1AY0u8KwGnPMUA6Dvf5qi8398ePKYQg70fACc9Mxv_vIJCyD3aE-48ItjdPNxVfrz91z69yiCxutzHQL2zOM671tmavNvbzT2huqk9pojCvBq1nD0x8Le8MOEnO5fkML5Ebyw97IJmvHCXnT0fExk-eq05ORjSAb5Jg6s9liYlvCveyDx8l_e8pMNDPGST3D1u_U88ZzHMPMhtarvMkZk7riKKO5AkELwQ36M9pmIDPfTzUD3TwA-9u5KuvKCbhz0I-H88a76Iu_ifJr1H0fY5A2RDPD_jAj4FGQG886FVPDScsj0drN89_QdDuwUjpT3WAju-SeWaOt7yx7x_q-u8bJpNOnR-yjxqJHM9hcSou2786T1M5K29K3Opu3Fjib3MEb29LLUkO5Dl1TuFGUe76rPBO1ACpr16H0I9BMFKu_x_Jr0ASm09kpbnu0XQjT0pnDg8f28PPIYwCD1Vp1697EK9OolmWT0B8ZQ90X68uJTDIj3T9Bm9eTG9Osks8TxurjC9r4oBOypZKbybVFS9bx3SO8cRS70gTpa81-gLu6Gd0z1RgZi9l51ROcCQmzo8FIU9N-a0OE0tmzyJcB09ODbdOGvjPjx0CJy8bbVsuR4RqL3O_Eq-AcsOObGuo7tN7Za8bfRHuuWzvDw7WWU9MR-UuogKir3tCr-7yjweOjWVKr3b4rW8ukIPuSWUvrwfFK88gX8EOV5c9Lz1swI9PbuBucFC3DyTGMm9RTbUNr8gM7ysG889SQw0NRr4hr3PWEq9LnLFt86vwTxJk8w930SHuFqVDjuQ71c9t3WNuIHAhD3_moe8MCUluOXiubxxaJu95a0INrGLAbz0xck9JfkdOWvx6b151iS87i9gNipY97isCTi9tnJrN3L_nD13O7E8qBfANbCyMT02-bW7NcDzNi-mGT54O8w8_OYbuW4eYr2xK7K9E7-_uEiWQr0sEcO9wcyPuLuIpTzOyDs9RRyFt0MiyDylTdW9UAd3uCL_7D01KQU-835buIuDgL04aC89kLiKuK1t6r0UO788b9LjN46IEz3sHcS9Mc4FuCAAOBNACUhtUAEqcxAAGmD__gAv9CPc2CYZ7MHNtwHk-gvEFc0V_-PV_w0Cs-3uAr-8__b__K8h4qEAAAAg4fPvFADLf8XW3Ez_4u_ewvpDM3oUHiuaE_zxuyMk8dgWFSnW7U0A2eynLivuriX3HCogAC1RahY7OBNACUhvUAIqrwYQDBqgBgAAPMIAAHBBAACAQAAAHMIAAMBAAACQwgAAUEIAALBBAACSwgAAoEAAAMhBAADGwgAANMIAABzCAABQwQAAuEEAANBBAAC4wQAAoMAAANBBAABQwQAAwMEAAFRCAACIQQAA-EEAABDBAACIQQAAmMIAAABBAAAgQQAAuMEAAKhCAACMwgAAcMIAAHTCAAAQwQAAoEAAAHhCAABQQQAA8EEAAHRCAAAQwQAAwEEAALRCAAD4wQAAcEEAADzCAAC4wQAAskIAAOBBAABAQAAAUMEAANjBAAAUwgAAcEEAACzCAACcwgAAMEEAAIBAAADAwAAAAEIAAARCAAAwQQAArsIAAIC_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-AACAOwAAgLsAADs_AACAOwAAcb8AAMq-AAAMvgAAhj4AAFy-AABAPAAAjj4AAFS-AACivgAAAT8AABC9AADYPQAAMT8AAH8_AACavgAAlj4AAOi9AACIvQAAoLwAAI4-AABcPgAA2D0AACw-AAD2PgAAmr4AACS-AADiPgAATD4AANg9AAAwvQAAyr4AAKa-AAAMvgAAuL0AADy-AABkPgAAgLsAAPi9AABkvgAAPD4AAJ6-AACmvgAA0r4AANa-AAAUvgAATD4AACw-AABMPgAAcD0AAGE_AACqPgAAML0AAFC9AACovQAAXD4AAPg9AAAwPSAAOBNACUh8UAEqjwIQARqAAgAAHL4AADA9AABcvgAAM78AAJi9AAAUPgAA_j4AAKK-AADoPQAAUD0AAFA9AACgPAAAED0AAFC9AABMPgAA4DwAAKA8AAAVPwAAor4AAAc_AAAQPQAAFL4AAFC9AADIvQAAgDsAAKi9AACAOwAA6D0AAHy-AAAwPQAAJD4AAHA9AAAEvgAA2L0AAIo-AABAPAAAqD0AACQ-AACOvgAAyL0AAIY-AAAwvQAA-D0AAJg9AAAwvQAAUL0AAH-_AAAcvgAALL4AAKC8AAAsPgAAhj4AAEA8AABQPQAAQDwAACQ-AADIvQAABD4AAEw-AACAuwAARD4AAJY-AAAMPgAAQLwgADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=HkNdNpKUByM","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14585013118010421031"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1383130644"},"5302224489571786016":{"videoId":"5302224489571786016","docid":"34-8-8-Z51FCDAEE1449D9DD","description":"to understand the following topic of Mathematics: 1. Definition of Discrete Mathematics 2. What is Discrete Mathematics 3. What is SET Theory and Concept of SET Theory With Examples 4. Definition...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3413596/2ff37046d929436f448d407bcf6c6a66/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/w0qv9wEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwGLTV8MgLlA","linkTemplate":"/video/preview/5302224489571786016?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics | Overview & Concept Of SET Theory By Dr.Gajendra Purohit","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wGLTV8MgLlA\",\"src\":\"serp\",\"rvb\":\"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_kPDwYM-QMIAQf59___AOwF_PgFAAAA6_sD-gP_AADzBfD7CgAAAAwFAxD__QEACO78_O8A_wAiDvz4-wAAAA8b-gL9AQAA8_D_AQP_AAAUCQPz_wAAAAj9AAIBAAAA-hMLDgAAAAAIDAL8AAAAACAALWz4xjs4E0AJSE5QAiqEAhAAGvABcADxAeDm_ADqEM0B2xEDAIEFC_8WHegAwg4PAcv51gDyBe8A2uIAAAT1FQDjF_wANuby_iDvAwAY6f__NQvtAN8dEQE25_MBNfYEAN0A6f8D9gz-D-wKAPjq7AEV_-T_AfUE_u4L4AEABegDEQIWACQAHgEW8g0C_-cH_OUXEADr-OL-EgDyAvzrCP7QGBIC4P74AvD_BvvfBOwCDgH3BfzqA_wVFOn-Kf4BAwT78fvjEggCFPf69QIGFALr-wX6BP0P-_IGB_v6DwkAEeQLBwrxDvwG5u8BBPrz_QHj-vboEQAC6g8H9-sUCwbv_vEDIAAtbidIOzgTQAlIYVACKs8HEAAawAeA7tO-Ed7DuuXolrxCpPC8cUQtPQnmw7zZ38O9fjq7O4C-iDzRYO48VxIvPT4Ue72Xx6q-E8fsO74RnbwKL2E-F3GwvEHTxjnc9Be-ftQ1PapiDTxPeJG-ZxVMPanmi7rAX0w-8qXmPNe0ALnpC-E9rR6LvCPUMTwxuSy8tJcovaKZJ7wbRgG-Yi2OvUbrKDv-1UM9YD55vXzWtTxpGRk-vV87vWUX7zvrQw289CgmvLYiezwQq2S8Q_mnvDXN4LrjNU8-edrrvINdwzxgKqw8xU5CPCkqtDuyKJG7PuTSPP7N8LzTmSW9Fzl6PFuoRrwtHVg9mXHJPEd_3Dsvej29CUr2PIe_B7z1vCs-zSx4PPp6vjwYPmK9drd8PRbfKzx1Rmq9qcwjPRVLW7zLx2Q9Q5eLvN6ynjsgooc8-aRuPaBIgbzRhYc8Go-MOidXCLvxKgw8c25OPSA08bv84Bw9ueNIPWq77LsnB629F1ZgvPT7frxJYUM9GVRgvcXnzjwcXNo9te7wvERsjzq2FAs9kVSAveVrhbzEBUC9bqPBvOS_vLsn2wA9z42fvKPhHDyfiVW8F00iPd28J7ybXEc9ojiBvX99nbvVrzQ9QVDJvJV-BLyo4gS7CVkXupYyOjwaVQG9i4EfPXUsJbz3ba283e9QPGluKjxPBLG84BhZOXjx2btNuu08RBzeOY31KjsAAIw3pU7AvLNe6zoH7uA9etweu_alDrpyVIk8JwUsveQViDtjxC89ljcRPeuNnLsmskU9o86cPC4lQzmCR2W8odsrPXLDIzlpQV48m6jKPGTkcjj_xXm7b5CavOgENrklMh29lRCMvdIjqTjuLZu8I0ipu5HA9jpzicA6ZCzJPDMfNDi2xEU9W5jlvdwZyLeqTuK8E4pjPfOFrzhwPU89uE4tvU8lBDm4nUy9TtExvcDUEjmgHwG9SSypPOsbWjk86RM9r6EqPf_btTg8-fQ9Kz1pvXUPZTnjb3I5yb-gPbn9Jzh7QAq91ULJPBOm5zZgiSw9MFcQPRIMKjedDkc7d58DvkPejLeUX0e6DWcGPB4xZTd3PYe9pMPDPICvwjgNZg06nZCMvD0ztrjhiAQ9SckBvTf5mjaLAji9n6cmvS3qeDitp_Y9s-qYvHs7OrmTQ7q9HS14PRJNbrjK1-88r-X6vCNsMTcHrZy9xoQqOo9TtjfVlOQ8vjamvfOjTbiKllc9EFj5PY0XQDgHC6e8vfzuPYO0HrlMnhy9Fsq6uiTeyLcuXRy9E3G0Pcnz1TcgADgTQAlIbVABKnMQABpgF_kALu4x_Nv9PvLQ0tj3-wAD1Q7t2f_03P_mI-zq9-u4nRYC_w7fBe-nAAAAPP7nD_wA53nS4uVHzR4Frc0JNB5_5RsPsvQS57IQJijbACgC7ww9ANcElg069NA27DsVIAAtMYMgOzgTQAlIb1ACKq8GEAwaoAYAAOhBAAAQwQAAzEIAANDBAACAvwAAwMEAAJhBAAAwwQAAaMIAAHBBAADgQQAAFEIAALTCAABIwgAAEEIAAEDCAACAvwAAVMIAAJjBAADowQAA-EEAAADAAADQwQAAbEIAAIhCAADAwAAAEMIAAAjCAAC4QQAAgEIAANjBAACYQgAAMMIAAJhBAACgQQAACEIAANjBAADOQgAAIEEAANjBAADgQAAAqEEAAKhBAADgQAAAVEIAAADCAADQwQAANMIAAHhCAADwQQAAAMAAAOBAAADAwAAAiEEAACBBAAAkQgAA2MEAAHBBAADYQQAAVEIAACRCAABwwQAAMMIAADxCAAAkQgAAYEIAAL5CAADAwQAACMIAAFBBAACKQgAAVEIAAEzCAACWQgAAqEEAAL7CAACIQQAAsEEAAIA_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_AACyvgAAyD0AAKA8AABUvgAAcL0AAHw-AAD4vQAAJL4AAJo-AACgPAAAXD4AAA0_AAB_PwAADD4AAM4-AAAUvgAAFL4AAFC9AAAcPgAA-D0AAKi9AABUPgAAkj4AAAS-AAAwPQAAhj4AAIg9AAAEPgAAmD0AANi9AACyvgAApr4AAES-AACqvgAAuD0AAKi9AACmvgAAoLwAAHw-AAC2vgAATL4AAP6-AAD4PQAAmD0AAIg9AAD4PQAAcL0AANi9AABXPwAADD4AAKg9AABwPQAAgLsAACy-AAAEPgAAmD0gADgTQAlIfFABKo8CEAEagAIAAFC9AAAwPQAAEL0AADm_AABcvgAAMD0AABw-AAAwvQAAiL0AALg9AAD4vQAATL4AABC9AABkvgAAPD4AAIA7AACYPQAAMT8AAHC9AADyPgAAyL0AAPi9AAAcvgAAPL4AAEA8AABwPQAA4LwAAIA7AABcvgAAiD0AAEC8AABwPQAAUD0AABy-AAAkPgAAcD0AAEC8AAD4PQAAbL4AAEA8AACAOwAAoLwAAFC9AAAQPQAAfL4AAHC9AAB_vwAAgr4AALq-AABwvQAAMD0AAOA8AADgPAAAmD0AAEA8AADgPAAA4LwAAEw-AABAvAAAoDwAABw-AAAkPgAAFD4AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=wGLTV8MgLlA","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5302224489571786016"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"436766207"},"14662113364920911116":{"videoId":"14662113364920911116","docid":"34-4-4-ZA2C445062AA77ACC","description":"Discrete math is tough. It's a class that usually only computer science majors take but I was fortunate enough to take it during my time in college. There are lots of good books out there.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4365233/99bcea4b2f0966c0ec461ac459c7a2b9/564x318_1"},"target":"_self","position":"7","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWpWIIixqBGE","linkTemplate":"/video/preview/14662113364920911116?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Let's Talk About Discrete Mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WpWIIixqBGE\",\"src\":\"serp\",\"rvb\":\"ErADChQxMDY1Mzc2MDY1ODk0NDg2OTMxMgoUMTIxMTc5NjQ4MTc1MzIzMzUwMDkKEzM5OTY0MzE4MTgzNDkyNzU3NjQKFDExMDI4OTg1MTk1OTY1ODYzNTcwChQxNDU4NTAxMzExODAxMDQyMTAzMQoTNTMwMjIyNDQ4OTU3MTc4NjAxNgoUMTQ2NjIxMTMzNjQ5MjA5MTExMTYKFDE1NDQ0OTY5MjE4Njg3MTkwOTAyChQxMDg1NjIzMDA3ODM1NjIxNTgzNQoTMTIzMjQ5NzAzNjI1OTU2Mzc3MwoUMTcxOTA2MjA5MjIxMDAxMTAwNDAKEzE0NzQ1MDg0OTIyOTU5MTc1NTAKFDEyODI2MDc5MDU4NDQwNjU1MTMzChQxNTcwMTQ5MzQzNzc0NzA2NTkxNQoTNzgxNzQ3MTQyMjk3MzUzMDQ1MgoTNDEwOTAzNTI1NTc1NDk5ODMyNwoTNjAyOTAwNjkyNTk4ODY3Njg1NgoTODkzMTQ5ODQ5ODA4NDAxMDc1MwoUMTcwNzY3MTkwNjIxNjE0ODUxMTkKFDE3MDAyODE0Mjk0MzE5NTk5MDc5GhYKFDE0NjYyMTEzMzY0OTIwOTExMTE2WhQxNDY2MjExMzM2NDkyMDkxMTExNmqvDRIBMBgAIkUaMQAKKmhoenpsYmpub211Z2hidmJoaFVDcjdsbXpJazYzUFpuQnczYmV6bC1NZxICABIqEMIPDxoPPxPNAYIEJAGABCsqiwEQARp4gfsEAQL-AwD1_goMAgb9AQQAAAL4__4A9QD19AMC_wDz-_UECwAAAPUE8fsJAAAA_gP_EPf-AQAEBPgHBAAAABYE_P0DAAAAFQX_AP4BAAAE-gMBA_8AABIIAvT_AAAA-QX--P4AAAACEAEHAAAAAAMO8vgAAAAAIAAtnXXbOzgTQAlITlACKnMQABpg5BIARB0X2a5USdzv0L30ABMhwPncBf_K___59sbT6ivV4ggJ_xfE9uqkAAAACiETFAgA23_eyr47D9Hxu97qIyt2BTjm4l_VA9EZMdTGFTIG7w8-AMMCxzYa8t5U_vU0IAAtu90XOzgTQAlIb1ACKq8GEAwaoAYAAKbCAAC4wQAAyEEAACjCAADAwQAACMIAAPBBAACOwgAAXMIAANDBAADwwQAAUEEAABBBAACSQgAABEIAAIA_AAAwQQAAoMAAAMhBAACQwQAAEEEAAOjBAACAQAAAIEIAAEBCAAAAQgAANMIAAHTCAAC8QgAAMEIAAK5CAABcwgAA2MEAAHxCAABAwgAAEMEAAFTCAACMQgAAoMEAAERCAAAMQgAAgMAAAOBBAADYQQAAUEIAALBBAAAQwgAAiEEAADBBAADwQQAAAMIAAABCAAD4wQAA4EAAAITCAAAswgAAyEEAAODAAADowQAAEEIAAIC_AABowgAAsMEAAGBBAACIwQAAgEEAAHDBAABwwgAA6MEAACjCAADgwQAAyEEAAADBAAAcQgAAgEAAABDCAADAQAAAkEEAAEDBAAAQwgAAaMIAAABCAAAAQQAAiEEAAKZCAACkQgAAEMEAAAAAAAAwQgAAQEAAAODBAAAAQAAAKEIAALBBAAAgwQAACMIAAEBCAADYwQAAoEEAAMDBAABwQQAAEEEAAEBAAAAgQQAApsIAAFRCAAAQwQAAgL8AAJ7CAAAMQgAA4EAAAMBBAAAAwAAAoMEAAChCAACoQQAAAMIAAJhBAACAwAAAcMIAAEDBAAAAQQAAQMIAAOjBAABQwQAA4EAAAKhBAAA0QgAAqEEAALTCAABAQAAAwEAAAJDBAADIQQAAEMIAANjBAADKQgAAjMIAAETCAACKwgAAjkIAANRCAAAkQgAAwEAAAMhBAABAwQAAAEIAAFxCAADQQQAA4EAAAOBBAACwwQAA-MEAADTCAAA0wgAAFMIAAIjBAABowgAADEIAADhCAADIwQAAQMAAAFDCAABAQAAAHEIAABzCAAAkQgAA-MEAAIhCAACYQQAAEEEAAABCAAB0QgAAgMAAALhBAAAoQgAA0MEAAODAAACIQQAAgEIAAIA_AAD0wgAACMIAACDCAAAAQAAAcMEAAGhCAACYQgAAuEEAAKhBAADgQQAA4MAAAHzCAACAwQAAgEEAAHjCAADQwQAA6MEAACDCAAB8wiAAOBNACUh1UAEqjwIQABqAAgAAZL4AABA9AAAsPgAAiD0AAIg9AAADPwAADD4AAHu_AACuvgAAML0AAJg9AACYvQAAmL0AAIY-AAD4vQAAtr4AAOY-AABAvAAA2D0AACs_AAB_PwAA7r4AAHw-AADgPAAAFD4AAJi9AABUPgAAcD0AAKC8AACGPgAAnj4AAKq-AACIPQAA4j4AAKg9AAAMPgAAUL0AAKq-AACqvgAATL4AAIa-AABMvgAAZD4AAOA8AAAwvQAAjr4AAK4-AACuvgAAXL4AADS-AAB8vgAAcD0AAOA8AAAQvQAAfL4AABA9AABLPwAAij4AALg9AADgPAAAZL4AAIo-AABcPgAAoDwgADgTQAlIfFABKo8CEAEagAIAANi9AAAMPgAAUL0AACe_AABsvgAAUD0AAII-AACoPQAAED0AACw-AACgvAAAjr4AAAQ-AABQvQAAqD0AAKC8AABcPgAAJT8AADS-AACiPgAAgLsAAHC9AAAQvQAA6L0AAIg9AADYPQAAuL0AAKA8AADgPAAAiD0AABC9AACgPAAAgLsAABS-AAAMPgAAEL0AADw-AACgvAAA-L0AAKi9AACIPQAA4LwAAIA7AABAPAAA-L0AAHA9AAB_vwAAiD0AAMa-AABwPQAAND4AADw-AACoPQAARD4AAIi9AACIPQAAoLwAAOg9AAD4PQAAQLwAAEQ-AACIvQAAuD0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WpWIIixqBGE","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14662113364920911116"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15444969218687190902":{"videoId":"15444969218687190902","docid":"34-8-14-Z0396410199BCCA1E","description":"This is a video titled \"Example True/False Questions That May Appear on the Discrete Mathematics Exam\" from the BUders university mathematics course Discrete Mathematics. Prepared by: Kemal Duran...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4119502/5e9221cddae40214697fc5148641dd0f/564x318_1"},"target":"_self","position":"8","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_EcYQnRG9NE","linkTemplate":"/video/preview/15444969218687190902?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics: Examples of True or False Questions That May Appear in the Discrete Mathema...","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_EcYQnRG9NE\",\"src\":\"serp\",\"rvb\":\"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-wH-AgADCgoNAgr6AvkD_wH5_f0A8_0B9fYBAAD1BgYBAQAAAPoP8P8DAAAABPv8C__9AQACDPQB8AD_ABQX-AL-AAAAGhH_AP4BAAD8-_33AgAAAAoKBPv_AAAA9f__Bvr_AAAIFgb-AAAAAAz-_gEAAAAAIAAtE_PZOzgTQAlITlACKnMQABpg_AwAOCEG9McCJ-XU5tD8-OQFx_vr4wAB_QDuCeXpARX7xwkN_wfOCu7BAAAAEPn-BEkA3VPk37IkCg4Yzff1E_B_-h7qBTsO49oZFukBGPj49AFBAPvz3v4OBuUx-AwbIAAtMopROzgTQAlIb1ACKq8GEAwaoAYAAIA_AADIwQAA4EEAANjBAAD4wQAASMIAAAxCAAAAAAAAwEAAABDBAAAIwgAA-EEAAGRCAABcQgAAAEEAAABBAACOQgAAOMIAAOBAAABQQQAAMEIAAAjCAACewgAA0MEAAMDAAAAAQQAAgD8AAABAAADIQQAAGEIAADzCAABcQgAA4EAAAPhBAABUwgAAwMAAAPhBAACoQQAAhEIAAHDBAABAQAAAiEEAADhCAAA8wgAAZMIAALBBAACcQgAAuMEAAIA_AADYQQAAPMIAAGjCAAAIwgAArkIAAADAAAAAwQAAJEIAAAjCAABswgAAXEIAABTCAAAcwgAAkMEAACTCAACQQQAA-MEAADTCAAA8wgAAaMIAAKDAAACQQQAAoEEAAADBAAC4QQAAkEEAAGDCAADYwQAA8MEAAGBBAAAYwgAAFMIAADBCAAAEQgAAgL8AAEBBAABAQQAAwEAAAMjBAACgwAAALMIAAHDBAAC4QQAA8EEAALDCAADQQQAA6MEAAAAAAAAwQgAAfEIAAHhCAACuwgAAikIAABBBAAAgwQAA-MEAAHRCAAAMwgAAVEIAAHDCAACOQgAA2EEAABTCAACwQQAAYEIAAADCAADIwQAA8EEAABzCAACgQQAAUMIAAKDBAABAwQAAgMEAAADCAADQQQAAMMIAAGDBAACgwAAAUMIAAHTCAAAAQQAAtkIAAIC_AAAoQgAAgD8AAHjCAAAAQQAAGMIAAODBAACgwQAAgMEAAKDBAABAwQAAAAAAALhBAACMQgAA6EEAAGBBAADSQgAAjEIAADjCAAA8wgAAJEIAAERCAABgwgAAEEEAAKDBAABkwgAA4EEAABBBAAC-wgAAuEEAAAhCAAAAQAAAKEIAADRCAABsQgAALEIAAGBBAABQwQAA4MAAACxCAACIQQAA4MAAAAjCAACAwAAAgMAAAJjCAAAAwAAApEIAAKDAAAA4wgAAgMEAAMJCAAAwQgAAAEIAAJhBAAAEQgAAEMIAAFzCAAAEwgAAiMEAADjCAADgQAAAgMIAAHBCAACIwQAAjEIAANjBAAB8wiAAOBNACUh1UAEqjwIQABqAAgAA4DwAABC9AACSPgAAMD0AAOC8AAAbPwAAbD4AAD2_AAB8vgAAZL4AABy-AACqvgAAqL0AAEw-AABwPQAAJL4AAIY-AADgvAAAij4AADk_AAB_PwAATL4AALo-AACIPQAAcL0AAIA7AAA8PgAAHD4AAPg9AACyPgAAmj4AADy-AADYvQAAHD4AAEC8AABsPgAAML0AAIa-AADOvgAAlr4AAJ6-AACCvgAA2D0AAGS-AAC4vQAAPL4AAMo-AACmvgAANL4AAOK-AACavgAABD4AAOC8AACIPQAAFL4AAIA7AAB3PwAAoLwAAHQ-AADYPQAABL4AAOg9AAAcPgAAcD0gADgTQAlIfFABKo8CEAEagAIAADS-AABQPQAAcL0AACm_AABcvgAAEL0AAIo-AAAQPQAAEL0AAIA7AACgvAAAor4AAHC9AADIvQAAqD0AAIC7AADYPQAAFT8AABS-AACWPgAA-D0AALg9AAB8vgAAcL0AAMg9AADYPQAAQLwAALg9AADIvQAA6D0AAFA9AAC4PQAABL4AAHC9AACoPQAAyL0AABw-AAAkPgAAhr4AAPi9AAAcPgAAED0AAKA8AACYPQAAUL0AACS-AAB_vwAAcD0AADy-AACovQAAuD0AAEw-AABAvAAAcD0AAMg9AADYPQAAUL0AAI4-AAAwPQAAEL0AACQ-AAAQPQAABD4AAJi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=_EcYQnRG9NE","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["15444969218687190902"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10856230078356215835":{"videoId":"10856230078356215835","docid":"34-6-15-ZF88D893AF16F3CB4","description":"We introduce the logical operator XOR and do some questions with it. LIKE AND Share THE Video IF IT Helped! Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1774354/a58264ec4a8b3c5fce3df024ba1ebff1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QFKeCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTCt8wGBEdYY","linkTemplate":"/video/preview/10856230078356215835?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"[Discrete Mathematics] Exclusive Or Example","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TCt8wGBEdYY\",\"src\":\"serp\",\"rvb\":\"ErADChQxMDY1Mzc2MDY1ODk0NDg2OTMxMgoUMTIxMTc5NjQ4MTc1MzIzMzUwMDkKEzM5OTY0MzE4MTgzNDkyNzU3NjQKFDExMDI4OTg1MTk1OTY1ODYzNTcwChQxNDU4NTAxMzExODAxMDQyMTAzMQoTNTMwMjIyNDQ4OTU3MTc4NjAxNgoUMTQ2NjIxMTMzNjQ5MjA5MTExMTYKFDE1NDQ0OTY5MjE4Njg3MTkwOTAyChQxMDg1NjIzMDA3ODM1NjIxNTgzNQoTMTIzMjQ5NzAzNjI1OTU2Mzc3MwoUMTcxOTA2MjA5MjIxMDAxMTAwNDAKEzE0NzQ1MDg0OTIyOTU5MTc1NTAKFDEyODI2MDc5MDU4NDQwNjU1MTMzChQxNTcwMTQ5MzQzNzc0NzA2NTkxNQoTNzgxNzQ3MTQyMjk3MzUzMDQ1MgoTNDEwOTAzNTI1NTc1NDk5ODMyNwoTNjAyOTAwNjkyNTk4ODY3Njg1NgoTODkzMTQ5ODQ5ODA4NDAxMDc1MwoUMTcwNzY3MTkwNjIxNjE0ODUxMTkKFDE3MDAyODE0Mjk0MzE5NTk5MDc5GhYKFDEwODU2MjMwMDc4MzU2MjE1ODM1WhQxMDg1NjIzMDA3ODM1NjIxNTgzNWrhEBIBMBgAIkUaMQAKKmhoY2NhZndpcG14Y2NoZ2RoaFVDR1lTZlpiUHAzQmlBRnM1MzFQQlk3ZxICABIqEMIPDxoPPxOWAoIEJAGABCsqiwEQARp4gfb-9AH8BAADCgoNAgr7AgD89v34_v0A9QX1_fYC_wDz-gcBBAAAAP4H9Af8AAAA-_3-B_7-AAD5BwAD_AAAABMW-AL-AAAADwgFAv4BAAD4AQr-AgAAABAN_f3_AAAA8wv__vv_AAD-DwUAAAAAAAQB-wQAAAAAIAAtUBnhOzgTQAlITlACKoQCEAAa8AF_-xMB2CjTAPbc2QDGFuD_kvoO__0x1ACwExMBvwPiAAvS_wHqEusA_Q4RAL0YCAAj7Nr_9rT3ADrp6f8rzR7_z-soABDy_gEUFh4CDO3dAPoYRALn5AoBEPXsAOEWAP__Chr9-gAA_e4DxQIj-ywB7NceAioCDP8L4fkB7fYOBu3f2_7y9f7-Bwvz_sLcJAIZ-vcADQXz-gkt5wAN9QkG7sIK_A0S0wA55RYBIfQVAPPfAvrq5PH6_CMaCt0XA_7z9yQC3REJ-gb1Avgn6PcA7_YCChD_8gEQCQj-CuEL_AUM8_zd_wDpwf4ID-EI9e0gAC1cMBs7OBNACUhhUAIqzwcQABrAB3pR475vUSC6hTJDPFPkVb1R3oc8i-IwvLzK2r1AGMM9Ik-zu_4N2j1fLVI8nPTjvHalNb59Clu8itKYO_29dD6SVEu9A7HsPHE9Wr7nFr89hUyovPNZDr44bzc9dvssu3kTLjtgGu27ffUnvatNoj1U3B29CXYSvXAtbjujK4e8s1aZvA9YQ70_GWO8bInmvD8_Zz17YZe80gsOvARXCT7rrVw8L0RDuvViLT1ZVJ88cbvhO2sRsb3HyMg8HxHTvIORrT2w8Y89DHAmPbet0rx2jOu8lF5lPCkPYb1ANfs793bLu3zxRT37BD05xYdhu5P-3j2U9UA8n2d9PEIKLr4-Xw69bMNyvHCXnT0fExk-eq05Oe3xAr4BuUk9ps5IPB1baj06tKM9q1XkO0sPmT0hGKy8P4gmu_6emLxi-Aa8q4NVO41KJT3WIyg9LPOWPOOCGD0jp6q91tyXu7nyI7yieeU8GqlSvKo-HbzXrKm8nU4WOkrcWT36EZq86xPKPPh1Oz2cDgk9llwku4_gFj5beA6-A-cOvA_d4jx1dBy-GGL6uWMvnz0m_6M9uGI1vHY0Dj1phwS9sjJYuyaJijwB1Hm91o_Ju-TI-bxpEau9yKIAvClb5L0b9yE9XquQu79rp7s6w7k81jV_vEXQjT0pnDg8f28PPMVlBj36DAi-VSEDupVrpTx5i5w9Zf5yO2-AmT0G0xW8RFWGu1T6nj2a6Di9eFpPOEDBJb0p1pS9iD-XOZTLVb3eVW89KwGMOjy98j1KyFG9V8GOOaL3Qb00ILw9HUR7uXHgOr0uuks9chbHN8hKgrzZg4O7uCLEORSdi72JeuG9xidwORKoiT3Rlk68O7nruSnM-7xK3zW8hWDRObQROb03KAu9rX4QOZjUtTz0QjA9yrTOt7dETj2pewO5e7couMpsgL04LTi9k5KZONlXAby92la9fLeVuHEHXTovla09L_rity7ikL3-Bxw8ruUJuW5M9DzCtQQ96xAmN2qJpT0bxYg9z6_QNyNhhDy6Z709JV93t5oHED3eOMm9CDT7Nqrty7zTgZE9BpNmt0QfJ71R-pI9NvDBOGfZDj3Ncl69wIanN_z1VD2GFA09fUrOthCWsbtHsAw9utJ6OC-mGT54O8w8_OYbuQpcCL3iw5G9PKVYuG9FZ720Fpu9TnD4t5uX3jxwdSU8RxKrt7MxBrsIr729HH2mt1UYpj1tC8U9g8fnOCmeabx4zZA9oeaauAahfL1gHIE8YXy1Nxozmb1fhN88YxgxtyAAOBNACUhtUAEqcxAAGmD9_wA8-DTo8S1T6sjTA_7R7g7c98v4_-HF_wDs5_LbAMnI3Bv_JdECwqIAAAAk3fUIIADrf6bj7SQAsSW158sOJ3LdIB2jAxoMm0E-AdL-GBUC-FYA8M-VKy333DjxFwogAC3b5hU7OBNACUhvUAIqjwIQABqAAgAAbL4AABQ-AAAQPQAAHD4AABy-AAADPwAALD4AAEW_AAC2vgAARL4AABS-AABcvgAAkr4AAIo-AACIvQAAqr4AAKo-AAAwvQAAuD0AABU_AAB_PwAA7r4AALI-AACAOwAAcL0AAIA7AABAvAAAFD4AAKA8AACmPgAAtj4AANi9AABQPQAAqj4AAFC9AAD4PQAAmD0AAI6-AAD-vgAAJL4AABS-AABsvgAAfD4AAIA7AADIvQAAdL4AAKI-AADKvgAAdL4AAAy-AADIvQAA2L0AAAw-AAC4PQAAmL0AALg9AAA_PwAAuj4AAOC8AAAcPgAALL4AAEQ-AACWPgAA4LwgADgTQAlIfFABKo8CEAEagAIAAAS-AAAQPQAAir4AAC2_AAC4vQAA4LwAAMY-AAC4vQAAML0AAOi9AACIPQAA6L0AAKA8AAAcvgAAqj4AADC9AACAOwAAFz8AACy-AAAJPwAAqL0AAMi9AACYvQAAVL4AAFA9AABkvgAAEL0AAKC8AAAwvQAABL4AABA9AAAEPgAABL4AAJi9AABsPgAABL4AAKA8AACaPgAATL4AAJi9AAAkPgAA6L0AAMi9AACAuwAAyL0AAFA9AAB_vwAAkr4AADS-AAAEvgAAPD4AABw-AAAwvQAAcD0AAHC9AADoPQAAcL0AANg9AABUPgAAcD0AAAw-AAAcPgAAqD0AANi9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=TCt8wGBEdYY","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10856230078356215835"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1905225267"},"1232497036259563773":{"videoId":"1232497036259563773","docid":"34-5-3-Z07D5333A9D0F47F1","description":"Subject - Discrete Mathematics Video Name - Quantifiers Chapter - Logic Faculty - Prof. Farhan Meer Upskill and get Placements with Ekeeda Career Tracks Data Science...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032510/b7f95979689ca21a6fabc3420b39eb47/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gqLMQQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlBytdLgO35U","linkTemplate":"/video/preview/1232497036259563773?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Quantifiers - Logic - Discrete Mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lBytdLgO35U\",\"src\":\"serp\",\"rvb\":\"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_wIA9f4KDAIG_AEUBfgG9QEBAPb6-_3-A_8A7gAF_w0AAADsDfL7AAAAAAH2AQT1_QEAEQcBDPUAAAAWDPL5AAAAAA4M_AP-AQAA-fj9BgT_AAAM_QQA_wAAAO4IAfP__wAABgwG_AAAAAAJE__-_wAAACAALVkm1zs4E0AJSE5QAiqEAhAAGvABfwDvAs_uAP4R5soA8SQSAYoAAf8uEM8Atg0lAscD5gDwFvgA0frz_w_7Bv8IBjUBPPjmABrTBwEA8_oAFRHpAPQZBAEg2_UBSfz8Afft9wC8Bwv_Fuz3_x_r9gALFfT-AAkX_Qf84AEYE9MBJfAL_SkAIgEQDg3_5-IQ_eUbAALv49_-HwP-A-b5CP_fBB0C8_P1_vIMEf_zCe4DBgn6_wHV9QIf9fQAD-_3_xfwBwXN_AIBFAL1AQECCg7nCQX7CewUAv0RBgEFDf8IJ9gOAQ0LBv341vb5EB75CBTk-_vjCwH05AILAuACDAjuDwMKIAAtfZwwOzgTQAlIYVACKs8HEAAawAfMXcO-ZNL4ukvw_jtTYBy9JELjvG-RBb1qTXO9qQjBPLZyBb0glsI9CqMZvRAGnryZgKe-ZfvQPJ_6ET3LgDM-5tGIvZhiMzyG4wm-3yD1PKwBKr1MxDu-gpxFu1Yy17rBOj4-ia4QPeUrQb2gNMQ9ptVQvRH_1jk4wBy-cD_gvJVN0jtsJTS-Ve1DuwOyBjqlmv47lcm6vHjl4bscC3o-c1yXvITMX7zAMRo9Hk-LvNBatjzSzo-95ymhvBDf8Ltp_ig-i13TO0cLKzzosLE87y-KO4uU3Lx_7tU8gOAAPcqhajwRh3G9km-LPSr3J73So449maQNvVDfsjxRh9W9FQ5TPahZe7z3cgA8bCIzvHSAGz0YPmK9drd8PRbfKzyR-pE9giXyPJA2hjsHJnc9XA0_PM3SKbwpOQw9g3AgPXfYhLzyM788qmvjPHRiDz3TwmA9quQtO5y3nLtZbV49s5FQPac7dDyNm5q9c5U4Pez7i7w7dMU9BwEeva4UG7yKPp89_LgHPIBsSLxgZ4Q9-RG_vT1rEjxjKn28o0XMvYcqRrxEsUs9eV0cvP_WCLvAhes8pQSjvb3SRzu5jaY9m6_SvaJIZTqCq1w9L02RvAHDcjzy7xI8ajXBOxlQ8zv1xXS9s1-YuxNPLLx9O667taXOPT5q4bqg-qi7e8BcvYRRpLuccoA9ajxHPG06ArwvKWg9DHyAvbVfqTpiL1Q9KaPAvL93I7s8fKO8guepvdZ_X7h3F8O8UiIRPARUmzv1fog9M98BvUB8bDkomcE8cfKRvKHyA7hsWk69qE4sPKiqjjk_GaO8svZXvUP1C7iao429wDaMvbpRlrgkD8S9BHB4vcjfljfWd7i7JoqAPYqmlDjp9q28JTv2vbm8zDj83se7J8YtPcOXYLhfIdg8M7UZvKE3ZziBvqE79Q_iPA4lKTmFf6y8Q5iRupS0XzZR2vs9fptvPYOETDirJog9z7eavfufhzmpZvs8tHGJPWDP67hk5NE8xQ-EPd6i_rdAmCW84yKSPCv1W7mq-QU9Hw4yvcHhvzfMXYs8nA6uPHXfBrgdG-a8-PHhO9tGorfhNLM83GF4vTj3qrdSMYk933JQvXNSWDdfwte87ghHPS1omziYhZs84-5iPF3oLLe4hZi9P4ILvMIP3rd9DPE8EXOEvU2-lTcZE4y9J1BEPBX4Vbheqki9OukdvrRj-rjK9HA9IuErPvHLijjyNiA9kRmePeMcYrhpi2s8hctPPWqeJbjktRe9HxNpPbdhcjggADgTQAlIbVABKnMQABpgRAEAGQIi3_D7PeDh29fKBe8Y0enNEP_t8v_0CsW08yUWxvYh_xHYDPClAAAAFb0IDgkA8H-90bIMA8L7uOPzQSVz7xcw0yMoE78lGhHh7gb3zeJcANv8nUcRJ58t_Bo2IAAtYZ4ZOzgTQAlIb1ACKq8GEAwaoAYAAJBBAABYwgAAlkIAAIjBAAAAQAAAHMIAAEhCAADwwQAAWMIAAGDBAAAAAAAA2EEAAKDBAACAQAAAsEEAANhBAABIQgAAWMIAABBCAAAgwQAASMIAADDBAACwwgAAOEIAAEhCAACgwQAAYMEAAOjBAAA0QgAAIEIAAJjBAACAwAAAAEAAAMDAAACgwgAAiEEAAKBBAAAEQgAAYMEAALhBAAAEwgAA0MEAAGTCAAAgwgAAIEEAAKDBAACwwQAAgMAAAJxCAACIQQAAEEEAAPDBAABAwAAAQEIAADBCAACAQAAAqsIAAIA_AADgwAAAIEEAADRCAACIQQAAuMIAAKDBAAAgQQAAyMEAAABBAAC-wgAAZMIAAEBAAAAoQgAAsMEAACjCAACgQgAAUEEAAJrCAACwwgAAPMIAAEBAAADAQQAAAMIAAFBCAADQwQAAQMAAANBBAADcQgAAEMIAAIC_AAA4QgAAEMIAAPhBAADAQAAAGEIAACBBAACgwQAAQMIAAMBBAAAUwgAAjkIAABBCAABAQAAAdEIAAADAAACEwgAAgL8AAOBBAAAAQgAAhEIAAPjBAACCQgAAFEIAAKBBAAAwQQAAoEAAABhCAABMQgAAYEIAAAAAAAC4wQAAoMIAAABBAADwwQAA6EEAAKTCAABAQAAAFMIAAIA_AACewgAA2MEAACDCAACwwQAAUMIAAERCAAB8QgAAoEEAAHDBAACKQgAAEMEAAIDBAACMwgAAHEIAAGBBAABYQgAAwMAAAAhCAABwQgAA4MEAAIC_AACwQQAAAAAAABBBAABwwQAA6EEAAIDBAABAwAAA2MEAAADCAADgwAAAAEEAAKxCAAAAwgAAwEAAACBBAABgQQAAEEIAADDBAADgQQAAwEEAAJBBAAAowgAAOMIAAAxCAAAQQgAAQEEAAJJCAAAQQQAAMEEAAFjCAACoQQAAgkIAABDCAACKwgAAcMEAAGDBAACQQgAAnsIAAHzCAACSQgAAgMEAAJjBAADAQAAAMMEAAOhBAAAAQgAAAMAAAIBAAACYwQAAuEEAAKBBAABUwiAAOBNACUh1UAEqjwIQABqAAgAArr4AAJg9AAC4PQAAEL0AABA9AADqPgAAcD0AAF-_AACGvgAAFL4AAAQ-AADKvgAAQDwAAII-AAC4vQAATL4AAKo-AACAuwAA2j4AAD0_AAB_PwAAxr4AAHw-AAD4vQAA-L0AAKq-AAA0PgAABD4AAKg9AAD2PgAA_j4AAO6-AACgvAAAVD4AAFA9AAA8PgAAJL4AAAS-AAADvwAA6r4AACy-AAAMvgAAlj4AAKK-AAA0vgAATL4AAPY-AAAHvwAAVL4AAMq-AACWvgAAgr4AAEQ-AAAcvgAAgDsAAIg9AABtPwAAfD4AAMg9AABkPgAAuL0AAII-AAD4PQAAcD0gADgTQAlIfFABKo8CEAEagAIAAPi9AAA8PgAATL4AAC2_AACGvgAAML0AAGQ-AACgvAAAiD0AABw-AAAsPgAAuL0AAKg9AACIvQAAmD0AAKC8AABQvQAAGz8AAHS-AAC-PgAA2D0AACS-AADgPAAAdL4AAIC7AABwPQAAVL4AAAw-AAAsvgAAQLwAANg9AACAOwAAEL0AAMg9AACiPgAA2L0AAMg9AABUPgAADL4AADC9AADCPgAAJL4AALi9AABAvAAAPL4AAOC8AAB_vwAAcD0AAJq-AAC4vQAAuD0AAFw-AAC4PQAAgj4AAKi9AAAMPgAAFL4AAKg9AAD4PQAADL4AAIC7AABAvAAAUD0AAIg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=lBytdLgO35U","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1232497036259563773"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"334789835"},"17190620922100110040":{"videoId":"17190620922100110040","docid":"34-7-10-ZA9E589C59D80AB49","description":"In this video we will look at a very good book on Discrete Mathematics. It is called Introductory Discrete Mathematics and it was written by Balakrishnan. Here it is https://amzn.to/3PrUBkU My...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4576509/4d367baa71890858803336e589914c74/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/PRXoRAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8xvHsh3MGvg","linkTemplate":"/video/preview/17190620922100110040?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics for Beginners","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8xvHsh3MGvg\",\"src\":\"serp\",\"rvb\":\"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_wADCwsOAgv6AgsA7wH2__8A___z-_wF_gD8_wgDAQAAAPsF9Pz_AAAA-Pn6EP__AAAGBvz6-wAAACEN_fj7AAAAHwMDCP4BAAD49_f9A_8AAA4JAQUAAAAA7A70_v8AAAAECQQEAAAAAAQG-PwAAAAAIAAthUHROzgTQAlITlACKoQCEAAa8AF_DvYCqggE_DHoCwDuFvsByvn_ADj_DADB_wAA9fwIAQor4QHo7vcABukn__Tz9QAn4Nz_4OvhACz-AwA0GxMADgcvARziCAAN2QgAFeD7_wIJ_f8O2wYA9_INABYLGv8ACBX98CPpAAjoEwQi8gr-FgoWAePg7QAs2fED8g4BBPvfAgDuDAT9-xzq_PH7BgL2DvoB8QLzBN8B_gQiA_X9_OUCBwLsCP_X2w4DBP38_vX44wEODuv4-xkAAewO5wYXDegH4ewA-uzeFAD71w4B0RUD_R7_DPfsAwQCHur799kU_QkIMAn67-v3Cvn_A_ogAC2vCUM7OBNACUhhUAIqzwcQABrAB6w4Cb-6Fd08v0UGvOJ0Ij6MwLO83LmwPPX0cT1uD2c9s4ndPF1lgr2ajgq9iHfKPKFId75zVro8pDYxvXKnrD4tJWu94Uh7vEDcJb7EKyQ88_Zvu3CU3L3UOIq8NfKEvbMVSr2I-OK8LtW7PJVrsL0l3zY9XWHLPFvZdD363AE8BcfAvFGgMjtA03m7-6chPMlAWT3vM5O8q9b4vLefZzxFMZS8kAEPvIDeCj3Umf-7hNRtO9d-p70L_V28d0tyvFN5Cz67RzY8yhwmvOzeSj17xY69iHrmPNFeiL36ghG99qXpOzvlrL16foc8IolePPBuYD1bVTu9VthnvF2Rs72MQhg8PjWHu7WM0DvjaFM9G9uluvXxtT0MPeI8jVUSPLsqUD36jUC8v---OpfmJj4l_Dc90ssDO6sFtr11PEY9Re0jvG3enTxrfSE-rqZju2i6zTxmMwe9bByWPP8aWr1zqDW99KopvJLbwDzWnTi9TkA4vJeg0Lx2ho68M-DJOuk2lzzjmze8S6DzOgdH4jokvBg9H5JrvDpvaD03O608YfaXvKUYuz2dbJ68QjuMvJIy8zwASzg9XXlBu4iSOTvZFpQ9wdvzueeihjxPZYe8NgIQPPwCNb3VnYI8VDuDvJR3JL0vhbc9J6HXuzd1-TzVQik94B-Au3D1l70QTaq8nOP1u4uYaL2SI_29-LMAujs8Xzyq3J-9s2BGOiQr_zy6OIA97HbuOd8AzrxilVw9GGvJOQO4lL3ePUC8CTiOOS7BTrzZMiq8cxcbO8CQmzo8FIU9N-a0OK8WTj3bBwu8fh8wuTf92T0WXKI8YVxIud9uab1VcxS8QPLWOomKsr2AUC297WEcOayL2zw4lsE9O2CEOSMfKj3IR6a9A6qCOOG-lL1t1i-9Jk2UN37UNb0v58g92Lt4uf6wSjzEIBW96bEHNwipwLwEqdS869lHOaxMgr0xZ7E9q_tIOMxM3zwWi6o9Q4QouEvF67w_h568qNiYt5vO6TzW8lQ9VMseuMFIWT2kkQq9jdYmON5Z-zzY8Z-9GA2XOKdtjTxo3EU94PbGuDirtLxL1tU7yig1OWbK_bx-cYk9xZwBOQF7lj2W8_875g3lN43CBL3MVb07Rj9mt-uEYT0rGNW8PJPxuIz6P71M1nI9t-iVuO4B3zzVXQm-RxjEOM1btT2KE6k8hS80uJyGyTtwMgC9wx0ZN1UYpj1tC8U9g8fnOHtACj17erY6KID6uFjcJD0ptJe9acNNOB1EwT0JrWK8J5-ANyAAOBNACUhtUAEqcxAAGmD69gBUJB_lxS5l6tzv6fbUFQy9Krvt__gK__oK2OX5K_PmHQT_BNzg3KoAAAAY_ecQQADqcrjH1Db1zvzG4wPxCH_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-AACAuwAABD4AADE_AABEPgAAYb8AAI6-AAAcvgAA4DwAAMq-AADYvQAAFD4AAJi9AAAMvgAAlj4AAEC8AAAEPgAAIz8AAH8_AADGvgAAmj4AADC9AACovQAAor4AAHQ-AABsPgAAUD0AALY-AADePgAAjr4AAKg9AADCPgAAUL0AAKA8AACgvAAAlr4AAO6-AAC4vQAAQLwAAMq-AACCPgAAyL0AAK6-AABsvgAAsj4AAPa-AAA0vgAAdL4AADy-AACgvAAAgj4AAIA7AACAuwAAiD0AAEU_AAAkPgAAcD0AAMg9AAB8vgAAjj4AAFQ-AABcPiAAOBNACUh8UAEqjwIQARqAAgAAXL4AAPg9AACWvgAAK78AAHy-AAAMPgAA7j4AAOi9AAAkPgAAED0AAEC8AABsvgAAgLsAALi9AAAUPgAAoLwAAJg9AAD2PgAAqr4AAOo-AADgvAAA6L0AACy-AAAQvQAAED0AAHA9AAAsvgAA4DwAALi9AADIvQAAMD0AAJg9AABwvQAAQLwAAGQ-AACovQAAmj4AAAQ-AABEvgAAcL0AABQ-AAAQvQAAqD0AAKA8AADovQAAMD0AAH-_AABwPQAAmr4AAHC9AAAsPgAAiD0AAIg9AAAkPgAAUL0AABw-AABwvQAA4DwAAEQ-AAC4PQAADD4AABC9AAAQPQAATD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=8xvHsh3MGvg","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["17190620922100110040"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2579920548"},"1474508492295917550":{"videoId":"1474508492295917550","docid":"34-4-6-ZDAD50D9197D937B4","description":"https://whatsapp.com/channel/0029VaMm... In this video I have discussed about the study plan and strategy for the Discrete Mathematics. 4th SEM , CSE/IT 6TH Sem): • Numerical Methods C Language...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3803074/893dcc119c1f3a9db6f3bda801c1ec54/564x318_1"},"target":"_self","position":"13","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Diz2V4ZM0B2U","linkTemplate":"/video/preview/1474508492295917550?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics Roadmap | Engineering Mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iz2V4ZM0B2U\",\"src\":\"serp\",\"rvb\":\"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_E-sNggQkAYAEKyqLARABGniBAQP9AvsFAPsDAw0KCPsCDAX_AvcAAAD1BfX99gL_APn2BAALAAAAAwTuAAYAAAD4-vsP__8AAAQG-wf5AAAAEBH-9vwAAAAZEP8A_gEAAPgBCv4CAAAACgkE-_8AAAD2BP8A__8AAAgVBv4AAAAAAwb5_AAAAAAgAC13W-M7OBNACUhOUAIqcxAAGmDvDwAdCQzv0wki9O3x4Qb9AxbCG_X3APACAAXy6OwOCerXBBn_DcgL6MgAAAAP5fAKIQDHStfFyh8V-vfU9gETHH_wG_8WHvP52wkX1QkZKRfn9AQA-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-MEAAKhBAAAwwQAAwMIAAKDAAACmQgAAgL8AAIC_AACwQgAAuEEAAJLCAABwwgAAIMEAAJpCAADIQQAAYMEAAEBCAAAIQgAAgL8AADDCAACgQAAASEIAAGDBAADgwAAAeMIAAJBBAAAAQAAAYEEAAEjCAABAQAAAgMEAAAhCAACQQQAAeMIAAIjCAAC4wQAABMIAAIA_AAAQQQAA4MAAAIRCAAAAwQAAyMEAAJrCAACQwgAAtsIAABTCAAA4QgAAkEEAAADCAABwwQAA2EEAAKBBAACowQAAAEEAAIjBAAAAQQAA4MAAAIhBAADAQAAAAMEAAHhCAABwQQAAoMAAALDCAACIQQAACEIAAGDBAAA0QgAAfEIAAPDBAAAQwQAAwMAAAHRCAABwwQAAUEEAACDBAAAwwgAAIEEAADjCAADgQQAAdMIAAGBBAACYwQAATMIAAJhBAAAIQgAAwEAAAGDBAABwwQAAQMEAAAhCAAC-wgAAUMEAAMDAAAAAAAAAHEIAAMDBAAA4wgAAhkIAAMhBAABAwAAAQEIAAATCAADAwAAAxsIAACDBIAA4E0AJSHVQASqPAhAAGoACAACSvgAAiL0AAOA8AAAMvgAARD4AAKI-AABAPAAAf78AAKq-AAAEvgAAHD4AALK-AAAEvgAAjj4AAKA8AAAcvgAADT8AAIg9AAAsPgAADT8AAF8_AAC2vgAAgj4AAIq-AAC4vQAAVL4AABQ-AAA0PgAAyL0AAEQ-AAAHPwAAfL4AAOA8AAAMPgAAmD0AAEw-AAAMvgAAEL0AAKK-AADOvgAAHD4AAKA8AABEPgAAXL4AAFy-AACSvgAArj4AANa-AAAcvgAA0r4AAOi9AAAkvgAAij4AABC9AADgPAAA4DwAAFM_AAC4PQAAcD0AAJg9AACgvAAAXD4AABQ-AADIPSAAOBNACUh8UAEqjwIQARqAAgAAmL0AAHA9AADovQAAFb8AANi9AABwvQAAPD4AALi9AABQPQAAiD0AAFC9AADYvQAAQLwAADy-AABwPQAAgDsAAEA8AAAJPwAABL4AANI-AAAcPgAAQDwAAAy-AAAkvgAA4DwAAIC7AADovQAAED0AAAy-AACIPQAAmD0AAKg9AADYPQAAiL0AAAQ-AACAuwAABD4AAEw-AABUvgAAiD0AAKY-AAAwvQAAuD0AADC9AADYvQAA4LwAAH-_AACAuwAAJL4AAOi9AADoPQAA4DwAADA9AADgPAAABD4AANg9AACYvQAAiL0AAHC9AACYPQAAmL0AADC9AAAQvQAAHD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iz2V4ZM0B2U","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1474508492295917550"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12826079058440655133":{"videoId":"12826079058440655133","docid":"34-11-7-Z04F20587AA0725CF","description":"This is the video \"Truth Table for Logical Implication Sample Question-1\" from the Discrete Mathematics course at BUders university mathematics. Prepared by: Kemal Duran (Mathematics Teacher).","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3690839/5e9221cddae40214697fc5148641dd0f/564x318_1"},"target":"_self","position":"14","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DB3fBFeHIckI","linkTemplate":"/video/preview/12826079058440655133?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics: Logical Inference with Truth Table Sample Question-1","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=B3fBFeHIckI\",\"src\":\"serp\",\"rvb\":\"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_g3-AgD2-QYJDgb8AQz--wj3__8A8QH3AgcB_wD6_QD__wAAAPsF9fz_AAAA-_3-B_7-AAAEAgwH6gD_AB8M_fn7AAAABQH9B_8BAAD0-_78AwAAAB0CCPv_AAAA8AgCBv4AAAD2FQb5AAAAAAD__v8AAAAAIAAtjY_aOzgTQAlITlACKnMQABpgGPwAMQoZ_NgGCAHJ3dL47OH43gHTCgDs_AD0INjzDgcA2vkD_y_lAvW-AAAAAwXlCUoA_lDs48oaDeUEsOz-BxV__Rz39CoY_dcXC-4MHesO6PQkAOba_Bwj5-gf6RojIAAtLdhYOzgTQAlIb1ACKq8GEAwaoAYAAIA_AADIwQAA4EEAANjBAAD4wQAASMIAAAxCAAAAAAAAwEAAABDBAAAIwgAA-EEAAGRCAABcQgAAAEEAAABBAACOQgAAOMIAAOBAAABQQQAAMEIAAAjCAACewgAA0MEAAMDAAAAAQQAAgD8AAABAAADIQQAAGEIAADzCAABcQgAA4EAAAPhBAABUwgAAwMAAAPhBAACoQQAAhEIAAHDBAABAQAAAiEEAADhCAAA8wgAAZMIAALBBAACcQgAAuMEAAIA_AADYQQAAPMIAAGjCAAAIwgAArkIAAADAAAAAwQAAJEIAAAjCAABswgAAXEIAABTCAAAcwgAAkMEAACTCAACQQQAA-MEAADTCAAA8wgAAaMIAAKDAAACQQQAAoEEAAADBAAC4QQAAkEEAAGDCAADYwQAA8MEAAGBBAAAYwgAAFMIAADBCAAAEQgAAgL8AAEBBAABAQQAAwEAAAMjBAACgwAAALMIAAHDBAAC4QQAA8EEAALDCAADQQQAA6MEAAAAAAAAwQgAAfEIAAHhCAACuwgAAikIAABBBAAAgwQAA-MEAAHRCAAAMwgAAVEIAAHDCAACOQgAA2EEAABTCAACwQQAAYEIAAADCAADIwQAA8EEAABzCAACgQQAAUMIAAKDBAABAwQAAgMEAAADCAADQQQAAMMIAAGDBAACgwAAAUMIAAHTCAAAAQQAAtkIAAIC_AAAoQgAAgD8AAHjCAAAAQQAAGMIAAODBAACgwQAAgMEAAKDBAABAwQAAAAAAALhBAACMQgAA6EEAAGBBAADSQgAAjEIAADjCAAA8wgAAJEIAAERCAABgwgAAEEEAAKDBAABkwgAA4EEAABBBAAC-wgAAuEEAAAhCAAAAQAAAKEIAADRCAABsQgAALEIAAGBBAABQwQAA4MAAACxCAACIQQAA4MAAAAjCAACAwAAAgMAAAJjCAAAAwAAApEIAAKDAAAA4wgAAgMEAAMJCAAAwQgAAAEIAAJhBAAAEQgAAEMIAAFzCAAAEwgAAiMEAADjCAADgQAAAgMIAAHBCAACIwQAAjEIAANjBAAB8wiAAOBNACUh1UAEqjwIQABqAAgAAVL4AADw-AADgPAAAyD0AAIC7AAD6PgAAFD4AADW_AABUvgAA4DwAAEy-AAAcvgAATL4AAGQ-AAAkvgAAyL0AAHA9AAAwvQAAfD4AACU_AAB_PwAA-L0AAMI-AAAsvgAA6L0AAAS-AADYPQAAyD0AADC9AAAFPwAAXD4AAEA8AABAvAAAwj4AAJi9AABkPgAABD4AALa-AAC6vgAAbL4AAFy-AACAOwAAkj4AAAS-AABQvQAAiL0AAEA8AAAkvgAAnr4AABm_AADgvAAAuD0AABQ-AAAUPgAA4LwAABC9AAA7PwAAQLwAAAw-AABcPgAABL4AAIY-AAAMPgAA4LwgADgTQAlIfFABKo8CEAEagAIAABC9AADYPQAAEL0AAB-_AAD4vQAA4LwAANg9AAAQPQAAEL0AAAQ-AAAQPQAANL4AAHA9AABMvgAAiD0AAIi9AADgvAAAKT8AANi9AACaPgAA4DwAANi9AACgPAAALL4AAKg9AACgPAAAuL0AAIg9AACgPAAAMD0AAEC8AAAwPQAAiL0AAES-AACgPAAAqL0AAIC7AACCPgAAHL4AABA9AAB0PgAADL4AADA9AABQvQAAML0AAHC9AAB_vwAAQDwAAOi9AAAwPQAAuD0AAIA7AACAuwAAgLsAAAQ-AABAPAAAiL0AAMg9AAD4vQAAED0AALg9AACAOwAA2D0AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=B3fBFeHIckI","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["12826079058440655133"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15701493437747065915":{"videoId":"15701493437747065915","docid":"34-10-7-Z55A48C1D837A70AA","description":"Today we introduce propositional logic. Looking for paid tutoring or online courses with practice exercises, text lectures, solutions, and exam practice? http://TrevTutor.com has you covered!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1790759/a2ea8bf61bc194195973bdab19b10654/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CAePnQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DitrXYg41-V0","linkTemplate":"/video/preview/15701493437747065915?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to propositional logic - discrete mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=itrXYg41-V0\",\"src\":\"serp\",\"rvb\":\"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_wD7AwMOCwn6Ah0A_P70AwMA7Pjw_AUAAAD2-QD2AQAAAPoQ8P8DAAAAAfYBBPX9AQABC_8GBQAAACEN_fj7AAAAEgYADf4BAAD08f8BA_8AABAACPv_AAAA8f8JBfv_AAAJFwb-AAAAAAcLAvwAAAAAIAAthUHROzgTQAlITlACKoQCEAAa8AF_EwQDyAjhAOUUwQHFBwwBpx7s_xsj4wC_JicD0P_uAQAN4gDT38__8uD0AMIEFQAaAckAEuAX_ycD5P8r-wUA5yglAQLlAgBB9AQA8vTt_vELFP8LFgsB3c7k__v14P4HAg3-8_zl--8DxwIO_jkBHP4dBQ_XDgXp-QkD9EAI_e7g3P4FCPYA5-oNAdsYHQEfAv36FBHpAdgB_gUI8vj-GOQPAQwR1QAT6RAN__MD_ffzCPv18vQGHPogBeIN8QL0-CMCzQ72BAYeCPEyAwD9xwkL_QDFBhAcF_8CBOn4-uj6AvfKBgrz3vgA_t4L8_8gAC0EuiI7OBNACUhhUAIqzwcQABrAB4ds2L4kXoM949G6O6AUcr3bugA98-7-vBTamL0nT3k9CxGJuxCAbj3ZVW28OXuIuqFId75zVro8pDYxvcuAMz7m0Yi9mGIzPHE9Wr7nFr89hUyovEzEO76CnEW7VjLXuiNl8DzM1P88K71bvLJ1mj2ly9G8LegBvG-xDL1WWxu9UjjMvKj8a732C7Y8LoxUvclAWT3vM5O8q9b4vGkZGT69Xzu9ZRfvOy_rtDwJACm9210WvX3PqL322gc89EAYvLsvsj0WPPs8pQUau1szaDx87iS9qGSpOz_ULL14ojo9VX24vGgIprrnMIQ8QCajvJJeBD7-Aks9u01uPHf1Cr6gny49XPlRvC03wj25RlU9-K6cPCYMdL1dRrs9TCy6PKRupzz90kc8Frq3vB88ZD0-40c90AHRO-juhLzHJXM96a4tOuDsAL3gWIY8nTnaPBaE0j1Fdo-9J2covOQn2TtsaQS9lNs0uyz5k71iYEI8Dy-jvDRH1j30Nja8oWc9uvh1Oz2cDgk9llwku8U1Qz34UQ2-CW8su9h3Kr0czTG-1zSMuj0VRj3qa6c8egZDvBWQVj2_Xpa93UPCu40LlTlFMLm9iPbOO4tqNj1C-4W70j9aO5Ion73OF3u8E-PnO_4s1rxhXKC88747vOnsyTxMGM09X-iauecH5Lxol4-9mbUYuzCDET5ARBQ9NoxbusITuj1qm-q6mQCyuixnKj2Kq0-9nJ1SO5UMAL1XX1i9M1NzOBM9Gr3qJgw7Jlv_OZNikT2mgT-9g5OsuRBndD3dWbA9fKa_OezTG73ZO0g81sLsNpto4TyPhhi9V650Osui8LxbQh6-NwXjOQc-67wPWEO9eb0Curh4-LyDisc7TAkdOn9-ZL2jsTG9YN3jOszNnD05UFY9N-xduJlSbT0WKd68E_ONuJ2bm7zebm48D70IuG0xyTwoSfK8tJ6sOGFmabw1rT49AO6JuCRGzzxuXIW9SVyfOCn0sLx60JI90TlKt1qVDjuQ71c9t3WNuFPjSjy1Wpa7eGiyt50ORzt3nwO-Q96Mt2JXibyoYlc73mBBuMrhA74Q1x48l_1ON-E0szzcYXi9OPeqt686FTz5f3o8ckY8OEIoSrzbk3a8SZwUOIJVRT50yDc9ydyEuewJ3LzhKV-9xKVjuHX19LxZ3eq9DSPxNY65obzJCa49ZG4UtybckLwWMDG-QaBaucr0cD0i4Ss-8cuKOOtc7LyqpKQ9AYvEuCumnb1Y8sK88KiltwaW7TxcFl08fiDUNyAAOBNACUhtUAEqcxAAGmAX_AAl2jvdABJL2ffl1xDV9CbHD8r9_-ng_wghyNLp_snj5BH_NsUb5KUAAAAj8OcOBwDdf7X2sCrZ2_WytPcTGl4PETav_gACoPwdDQHpCSzc-y0AFricMxoIsBkSGgogAC0blB07OBNACUhvUAIqrwYQDBqgBgAAmEEAALhBAADgwAAAFMIAAMhBAAAQwQAAyEEAABzCAACQwQAAmEEAAKBAAACGwgAA-MEAAKDBAAAUQgAAWMIAAKhBAACIwQAAMMEAADTCAABEwgAAoMEAAAhCAADQQQAAUEIAAIDBAACowQAAsMIAAHRCAAAAAAAAkMEAAGBBAACOwgAA-EEAAFDCAACAvwAA4MEAANRCAAAAwgAA0EEAAFRCAAAwwQAAVEIAAAhCAAAAQQAA9MIAAODAAABgwQAAwEIAAOhBAADowQAAQEIAAJhBAABAwQAAAEAAAIhBAAAAwwAAmEEAAIzCAABIQgAA0EEAAODAAADAwAAAgMIAAKBAAADAwQAAmMEAAPDBAACAQQAAFMIAAKxCAACkQgAAJMIAADRCAACgQQAAZMIAAOBBAABgQQAAlEIAAABCAACMwgAAgL8AAAAAAABYQgAAmEEAABDBAAAQQgAA-EEAAI5CAAAYwgAAsMEAABRCAABAwQAAmMIAALjBAAAUwgAAUEEAABBCAACAQQAAwMEAACDCAAAMQgAAIEIAAJzCAADgwAAAQEEAAAAAAAAQQgAAMMIAAPBBAAAAQgAAQMAAADDBAABAQAAAQEEAAHBBAADAwQAAYMIAAKhBAADgQAAABMIAAEjCAACKwgAAAAAAAIA_AABgQQAADMIAAIDBAAAkwgAAHMIAAKhBAACAvwAAgEAAAPhBAAAAAAAA2EEAAEBBAACYwQAA0MEAAMzCAAAgwQAAUMEAAABBAACAwAAA2EEAAIDBAACiwgAA4EAAAOhBAADowQAA4MAAAKhBAADYQQAAEMEAAMDAAABwwQAAyEEAAIrCAAAAwgAAJEIAANjBAACgwAAA4MEAAPjBAAAQwgAAMEIAAARCAAAoQgAALEIAALBBAABcwgAAUEIAAATCAAAQwQAAgMEAAPBBAABgwQAA0MEAAFhCAAAgQgAAIEIAAMDBAAAIQgAAAMEAAJhCAABAQAAAkMIAAOhBAACAwAAABMIAAMTCAACCwgAAAEEAABDCAAAQQQAAFEIAAGTCAAC4wQAAYMIAAJDCIAA4E0AJSHVQASqPAhAAGoACAACWvgAAMD0AAHw-AACovQAAoLwAAPY-AAA0PgAAcb8AAL6-AAB0vgAAqD0AAPa-AAAEvgAAij4AAHC9AAD4vQAAoj4AAJi9AAB0PgAAWT8AAH8_AACCvgAA6D0AADy-AAAkvgAA-L0AAAQ-AAC4PQAA2D0AAOI-AADqPgAAyr4AAAS-AACSPgAAiD0AAAQ-AAD4vQAALL4AAKq-AACevgAALL4AAGS-AACKPgAAJL4AAHC9AAAkvgAAtj4AAAW_AAAkvgAAxr4AAJa-AABMvgAAiD0AAEC8AABAPAAAiD0AAFk_AABUPgAAiL0AANY-AAAEvgAArj4AAEw-AACCPiAAOBNACUh8UAEqjwIQARqAAgAAyL0AAHQ-AABsvgAAFb8AABS-AAAQPQAAND4AAMi9AACoPQAAkj4AADw-AACgvAAALD4AAPi9AADoPQAAEL0AABA9AAAZPwAA2L0AAO4-AAAwvQAAUL0AAMg9AAAsvgAAoDwAABA9AACAOwAAJD4AAIq-AABAvAAABD4AAKg9AAC4vQAAXD4AAFw-AABUvgAAFD4AANI-AABkvgAAqL0AAKY-AADIvQAADL4AAIC7AAAwvQAAEL0AAH-_AACAuwAAbL4AAFA9AABkPgAAyD0AAKC8AAA8PgAAMD0AAAQ-AAC4vQAAMD0AAIg9AAAQvQAAiD0AAAQ-AACAOwAA4LwgADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=itrXYg41-V0","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15701493437747065915"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3219765748"},"7817471422973530452":{"videoId":"7817471422973530452","docid":"34-6-0-ZA5A9DA715396AD81","description":"Discrete Mathematics | Mathematical Induction | SET Theory | Lecture 04 | Pradeep GIRI SIR #settheory #discretemathematics #mathematicalinduction #engineering #pradeepgirisir Telegram link : https...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2732855/6e116c80f7ac1d5a4ed941fa6e179351/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QiXZPAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7WUPTe39fMg","linkTemplate":"/video/preview/7817471422973530452?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics | Mathematical Induction | SET Theory | Lecture 04 | Pradeep GIRI SIR","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7WUPTe39fMg\",\"src\":\"serp\",\"rvb\":\"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-wMDDwsJ-gIEAAAC-P_-AAAK-fT3BP4A7QAF_w4AAAD5BPEJBwAAAP4D_xH3_gEAEAH3_AQAAAAhDfz4-wAAABwS_wD-AQAA-fj9BgT_AAATCAPz_wAAAPUE_gD__wAA_hUQAQAAAAAADvz3_wAAACAALWoszzs4E0AJSE5QAiqEAhAAGvABZfsDAuDm_ADiA9cA0SAHAIEFC_8eEOsA1A0aAeP10gHqBvYA2u75AAnnEv_dCgcANfnpAA_mE_8S7PD_Ew_sAOcFGwE-1_gBPg_2APQD4wDXDikAF-QBAQz38AAK_-oA6_AO_fX96vz--t_-J_MXARfxHAId8gAB9dUG__oR8wPqAu0AFf0IB_X0BfnVCQwC-g3w-gAFB_vNDOwBHO3xAgrwB_4GIuD-EfoGB9H5_ATcBwwBBgj2-_0bFAjxAPz_DfoVB-r46vz_KPIFBvQMAwrxDvwH8_gGFfL_-f_vBvbU7gj65_v9--ATAv728QAGIAAtbidIOzgTQAlIYVACKs8HEAAawAeIgrm-xSUBvFpF_7xxjvq9cMFoPQW5sLz75zm-YsJDPPut3bxLZ_E8x5IDO7LZUb04aYq-0Qw9PO2ufTyg4ig-UdvGvEQONjx1dPy9LxOaPQsCEL0UB1C-k3Z-PIqaHr3EJEw-sqyqPHHAGD2g4tg9YTyevMVPiLxg_WS9ebltunh8ubvOjE6-KyxdvUAIFrzmy4s9fJYMvW48zjwQsSE-fFmkPCnM-7yHr-U894Q2vN2grLwjntE8r6sNPK7LWr0BhTo-G_90vPjt1ru3rdK8dozrvJReZTwPQsS6an7jOlyKULxoCKa65zCEPEAmo7watZw9MfC3vDDhJzv5oAe-9BqbPS-BgDv31rY9qvDUOWhXBDvSV5u93UhUPRr0LbvFIgE9M7nivNNGu7tLFwc9_4kbPTTPWzzSrn09wTKLPY4BmTzyM788qmvjPHRiDz1QU5s9tp4EvIauRLxd_yk9DLXBPD90nLzbARK9KJYAvepEG7qoTow9VhEOPbRsdzz4dTs9nA4JPZZcJLvNpHc9h2SyvW0Iabz6WKa9y1CQvR2nrrvpyWY9gbAzPZx1Pjvkabk9XXSNvEcBIDyscfa8fI9kvYDCjzqqRFk82SoaPHqLeTrsyYK93igoPaHANzu_a6e7OsO5PNY1f7wgHxk92GGcPSSsFbvt4ZE9VjkevRWFgrt4H4w9IrFzPYByCLu6np0903vTO3k1ijqBW_c9CEuWvfhf7jgJ6xK8EYF0vXVh_7pflIW88LRGvGzIX7jYLu085-o9vVN1JrkdXUA9OU5Au8w2yLkIfxW9W0SvPZiB-Djub5o8oywyvbz3m7irPZG9GlIVvjBRCjrRKIi9mam_PBzF97VFjTg9wWwHPQrSHjkTff68iA8cvpMllzeLfE08i7F9uRvZH7nxRZA9Uq1PPJ6yvzjGsgu8b11WvHQwkLedrwO9jgiEu78WJTl1Ae881vW1PT0Q8bgXVgC9v4YbvYKCH7invRc9aE5oPYZgOjlUpdK8H8zHPXLVWLfclBw9TqKUPbrAhzfubm89FEEcvQkVsbaL15Y9nw8FPSCNFbh3ZXe98fl8vWDWajjeiLg8wm4zve2cr7ewBE09LHoMvVbi-Df4ABi9cS2kPd6fkjjB4ys-3KVovAeJdLlXJCa9iyTwPD6Qp7bOcjS8XQ_Lvahwm7ebS1u9kjynPW1wgTizMQa7CK-9vRx9prci_-w9NSkFPvN-W7gD_JS9f6iPPYXkXrlnCZe8pgSJPZqypTdp7AG9DE3jPD9pkzggADgTQAlIbVABKnMQABpgG_sAGfIk688fIvzqx9jm7-QOtA7O_f_50__mD9f6_ArMrvwc_wPeCvWqAAAAJewAFiYA33HYy-Av_On8pbgKLAh_-CYYsCYU4qwNJwLyKR4l1PIwAOnwoksR4sonCyMIIAAtS2MkOzgTQAlIb1ACKq8GEAwaoAYAAEDAAACAPwAAiEEAADTCAABwQQAAQMEAAMhBAAC4wQAAYMEAAABAAAAUQgAAAAAAAK7CAAC4wQAAlEIAADDBAADowQAAUMEAAKhBAACcwgAA6EEAADTCAAAAwgAAoMAAAI5CAABQwgAAsMEAAGDCAABIQgAAwEEAAJjBAABYQgAAZMIAACRCAAAgwgAAqMEAAEDBAABsQgAAuMEAAARCAAAAQgAAwMAAADDBAACgwAAAMEIAAJ7CAACcwgAAkEEAAIpCAADAQQAA8MEAADTCAABQwQAAuEEAADxCAABQQQAAvsIAAIhBAABcwgAAfEIAADhCAADYwQAAuMEAANDBAAAAAAAAIMEAAIxCAADowQAAAAAAAKDBAABkQgAAQEIAACzCAADCQgAAPMIAAPjBAACAPwAAqMEAAIA_AAAAwgAAbMIAAIBAAACoQQAAvkIAAIDAAABYQgAAZMIAANBBAAAAwQAAdMIAAABBAACAwAAAOMIAACjCAACgwQAAXMIAANDBAAAwwQAAlkIAAFDBAAD4wQAAikIAAOhBAAAAwwAAaMIAALhBAAA8QgAAEEEAAGjCAABgQgAAYMEAAHDBAABAwQAAAMIAAIBCAACAQQAA8MEAAAjCAAAMwgAAwMAAABBBAACEwgAAqMEAAADBAAAkQgAAnkIAAHBBAAAgwQAAHMIAAGjCAAD4wQAAsMEAAKDAAAB8QgAAkEEAAMDAAABAQQAAOEIAACTCAAB4wgAAwEAAABDBAABAQgAAIMEAAABAAAAwwQAAIMEAAEDCAACAvwAAgMAAAABAAAAEQgAA0EEAAIDAAAAMQgAAEEIAADBBAADAwgAA-MEAAChCAADgwQAAPEIAAOBAAAAUwgAAQEEAABDCAABYQgAA8EEAAHhCAADAQAAAosIAAIBAAACAvwAAYEEAAIjBAACgQQAA2MEAAKBAAAAwQgAAHEIAAMBBAACAwAAAUEEAAFhCAAAUQgAAEMIAAKjCAACAQQAAAMEAALjBAAAIwgAAEMEAAAAAAABQwQAALEIAAMDAAACMwgAAwEEAAK7CAAAswiAAOBNACUh1UAEqjwIQABqAAgAAdL4AAKC8AABMPgAAQDwAAIA7AADuPgAA2L0AAEm_AAD4vQAAJL4AAGw-AACIvQAA2D0AAIg9AABcvgAADL4AAL4-AACgvAAAVD4AADU_AAB_PwAAmL0AAGQ-AACovQAAoLwAADS-AAAwPQAAED0AANg9AACyPgAArj4AANa-AAAwPQAAxj4AAEC8AAA0PgAAHL4AACy-AADOvgAAnr4AACy-AAAQPQAAij4AABy-AACyvgAAQLwAAOY-AACWvgAALL4AAOK-AABsvgAAUD0AAGQ-AAAEPgAAJL4AAHC9AABjPwAAJD4AADA9AABQPQAAiL0AAJg9AAAQPQAA6L0gADgTQAlIfFABKo8CEAEagAIAAMi9AADYPQAAML0AABu_AAAEvgAA2D0AALI-AACgvAAAQLwAABA9AACIvQAARL4AAEA8AAA8vgAA-D0AAIA7AADgPAAALT8AAAS-AADSPgAAyD0AACy-AADgvAAAHL4AAEA8AACgPAAA4LwAACQ-AAAkvgAAQLwAAFA9AABQPQAAEL0AADy-AACoPQAAmL0AAOA8AAB8PgAARL4AAIA7AACyPgAAuL0AAEw-AACIvQAAUL0AAEC8AAB_vwAARL4AAAy-AABwPQAAHD4AABw-AADgvAAAoDwAADQ-AACIPQAAuL0AADw-AADgvAAAmD0AAPg9AADoPQAAiD0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7WUPTe39fMg","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7817471422973530452"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"873028670"},"4109035255754998327":{"videoId":"4109035255754998327","docid":"34-4-7-ZBF2DCE33F595CA5D","description":"LINK TO THE Midterm: http://bit.ly/1EeD3L6 Visit our website: http://bit.ly/1zBPlvm Subscribe on YouTube: http://bit.ly/1vWiRxW -Playlists- Discrete Mathematics 1: • Discrete Math (Sets, Logic...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2981624/01e968e62388833e07d1b994efe45fea/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RybSDgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_8ABr2Zkfog","linkTemplate":"/video/preview/4109035255754998327?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"[Discrete Mathematics] Midterm 2 Solutions","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_8ABr2Zkfog\",\"src\":\"serp\",\"rvb\":\"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-CBCQBgAQrKosBEAEaeIH0AwL-_wEA_PkGCAIH_AIVBfgG9QEBAPYH-_7_Av8A6u0KAAT_AAAGE_YA_gAAAP0B8ggC_gAACwEA_-wA_wAUDAAB_gAAAA8N_QMS_gEBAwIHAQP_AAAX-_z-AAAAAOwOCf3_AP8AAxEBCAAAAAADDAMEAAAAACAALdgy1Ds4E0AJSE5QAiqEAhAAGvABfxT7_9Hb-wDYBPYAuy8KAIP6EP_8OM8As9QCAbno3QHgLvb_8d3vAc0oHv60GwkAEtvKAADY9QBC5ub_8fzwARUJCAEutPQBRBcE_-EcBv_eJDH99-MTAAvX5v_1-vL5CAIP_vD73_n_B90EC9FDAwLpLPz47xkE8AgOAuAR3wDq2tb9GgDsA-bVFfze9DMIFNfs_BD0_vmbNgoCEPLnAB3BFv36QOP6TukFA93-EwTR_ev_AvHZ-xcjJv7yAuP4-ucb_vHeAe4C3_gOHtz-AdX6BAb83_ILHgLx8unjAPzqA_Dy4PIDA8n86g3Q9wPrIAAtUm0JOzgTQAlIYVACKs8HEAAawAcfvM6-sRKYO0btwDsKB8y9Vw8UvDSFDr0q4B6-A-5ZPXNVj7w-0Oo9mc7zPJ2HUbuhSHe-c1a6PKQ2Mb0tC1Y-sIpcvUEtJr3ZQ0u-Q5J2Oyl_gr3gu22-XoqWPRa5TLzNs009Rf1EvbYlvDyg4tg9YTyevMVPiLxviwi9Q0cHuiPYGL0R-ZM80yOXvNw2Arzk-409Z9zvvONd5Dp3Me09jwApvXaWETyY7ZK72Ig7vPB2c7zMG1S79iUbvPUZBr0JeZM9DdbJPPyOYTwXy768erKwu2PCILxsB4O9zRbaPJYwiby5ALS8ZU2RPUysZ7zwbmA9W1U7vVbYZ7z5oAe-9BqbPS-BgDvdYDg-KaZcPeMbPjoUmwq9XTVPPfglUTw-m3I7sB43vfuRhbpw3bM9-BHkPD01arvpdgA9MGIEPRsHxTsJZMA8z1l1PYVjsTxQU5s9tp4EvIauRLwqcX09p749vNV-RrxOXuS91kJ_PAevxDs0R9Y99DY2vKFnPbr4dTs9nA4JPZZcJLstyhE9XxeEvZpD8zvO8ga9kDiKvZzLQ7wisJg9FsZxPCO7d7wiiuk9_fsnvcH-a7z50A-9196nun5a3jsCyIo9OIyNvRTHZLtNBUa9YarZPEdXabu_a6e7OsO5PNY1f7yfKhU9sABmPQNmtrvQTye9d6KEvaH3hDrf-eU9TZSMu3kr4DpRbUs9YdULu7aGbzuBW_c9CEuWvfhf7jjMDJu888CsvMkpzztoz-W8djCHPH6fGruhndM9UYGYvZedUTmZwIg983bfPMUHircKv0-9Jh7QPYAjObkiiPM8tZ6rvLLGFDmrPZG9GlIVvjBRCjqeEmu98mMnPI0fQDmH5P887rv9PPKdpzlrHsG9xK6ivVn4Ijg4lqA6Av7fPODFSLcW0is9vDBjPUviwDajHie9Rhy8vISPqbfsCTy9ciXxvNZigDnjFpi8165_PddTODhRlBU9lHtrveK4ezmO9mk9eQiOPYpdnjibzuk81vJUPVTLHrjBWJ89CxmePb0ZIzjTzwg8ZjHRvT5Llzbb0J49duOYPVAF9bjK4QO-ENcePJf9TjdJjFS870qMvXkr1zZx2yg9EgXpvMlDuDiXLQO9L2r3vFop3DfB4ys-3KVovAeJdLmIFz-9cpPHvHfPJrjDJv23s0OMvU2KDjeRvwq9gx6VPYtDkTe9rwU9pUkJvq2ehbjK9HA9IuErPvHLijjwsjW9XMzPPQxGCrkySXa9pCPvvApbLbj4-we8pdCDPFDjNzggADgTQAlIbVABKnMQABpg_foAGd8wyg8NVfHZ0OsU2_f3tQms3P_01v8WCCDu6jCywPcG_zTgF9mfAAAAMtDhGAgA1Xyu3tNkDN4gs8kO-xR__RoEnhf3ENILVQPRI1Y1zuMoABzRpQ4l8JkRFAIQIAAt5ToQOzgTQAlIb1ACKq8GEAwaoAYAAKBBAACoQQAAoEAAABTCAAAIQgAAYEEAAGBCAADAwAAAIMIAAFBBAAAAQgAAvMIAADTCAAD4wQAAgEEAABTCAACYQQAAJMIAADBBAACgwQAAMMEAALjBAADoQQAA4EEAAKhBAACAwQAAfMIAACjCAABEQgAAEEEAADDBAACgwAAAmsIAABBBAAC2wgAAmMEAAEDAAACgQgAAuMEAAABBAAAoQgAAsEEAAEhCAABEQgAAkEEAALzCAAAAQAAAQMAAAPxCAAA0QgAAEMIAAGBBAABAQQAAkMEAAIBAAACAQQAA2MIAAAxCAACMwgAAPEIAANBBAAAkwgAAcEEAAFjCAAAAQAAAUEEAAIA_AADQwQAAQMAAAGDCAABgQgAAvEIAANDBAAB4QgAAsEEAAGDCAACwQQAAYEEAAHhCAACwQQAAkMIAAATCAACwQQAAGEIAAHDBAADQwQAA-EEAAMhBAACCQgAA2MEAAADCAABgQgAAkEEAALrCAADwwQAAEMIAAKBBAABoQgAAcEEAAIBAAABgwgAAcEIAAMhBAACQwgAAOMIAAOBAAABAQQAAREIAAIBAAAAQQgAABEIAAEDAAAAAwQAA0EEAADBBAACgwAAA-MEAAGjCAADYQQAAcEEAABTCAABgwgAAoMIAADBBAAAAQAAACEIAAEzCAAAQQQAAjsIAABDBAABgQQAAgL8AABRCAACwQQAAYMEAAKhBAACIwQAAMMEAAPDBAABswgAAwMEAAEDAAACAwQAAAMAAABhCAABAQAAAosIAADBBAACgQQAA6MEAAADBAACAvwAAEEIAACTCAACYQQAAUMEAADBCAACqwgAA-MEAAIBCAAAAwQAAQMAAAJDBAACIwQAARMIAAGBBAAAEQgAAiEIAAHBCAAAQQgAAYMIAAAxCAAAgwgAAJMIAAAAAAACgQAAAgEEAAETCAAD4QQAAeEIAAHBBAAAgwQAA4EEAAAAAAAAwQgAACMIAAKrCAABIQgAAoMAAAMDBAACYwgAAhsIAAABAAAAwwQAA4EAAAEBBAAAowgAAIMEAAJjCAACQwiAAOBNACUh1UAEqjwIQABqAAgAAnr4AACw-AAC4PQAA6L0AAFC9AAAjPwAAUD0AAHG_AAA0vgAAUL0AAAw-AACevgAAiD0AAHw-AACgvAAAhr4AAA8_AACAuwAAoj4AADE_AAB_PwAAor4AAFw-AACovQAAyL0AAKa-AABQPQAAoLwAAOi9AADWPgAAyj4AAM6-AABUPgAAPD4AACw-AAAkPgAAmL0AABA9AAC-vgAAjr4AAMi9AABAvAAAij4AAIA7AAAcvgAAJL4AAO4-AAD2vgAAir4AAKa-AABQvQAAZL4AAMo-AAAQPQAAgLsAAJg9AABNPwAAwj4AABC9AABwvQAA2L0AACQ-AAAUPgAAMD0gADgTQAlIfFABKo8CEAEagAIAAFy-AABsPgAAnr4AABm_AAA8vgAABD4AAJY-AABQvQAAHD4AAAQ-AAAMPgAAqL0AADA9AAAMvgAAHD4AAEC8AABAPAAADz8AALa-AADaPgAAND4AANi9AAAQPQAA-L0AABA9AAAEPgAAmL0AAFw-AAAsvgAAHL4AAMg9AADgPAAAML0AAEC8AAAsPgAAcL0AAFA9AACSPgAAJL4AAPi9AACePgAALL4AABQ-AAC4vQAA4DwAAOA8AAB_vwAAiD0AAGS-AACAuwAAED0AAAw-AACgvAAATD4AAIC7AAAUPgAAuL0AAPg9AAAcPgAAgDsAAEC8AACYvQAAND4AAEw-IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_8ABr2Zkfog","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4109035255754998327"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"869714296"},"6029006925988676856":{"videoId":"6029006925988676856","docid":"34-10-12-Z89DD943E1AF1D321","description":"By Eng. Areej Abdelaal Stuck on proof by induction in your Discrete Mathematics course? This step-by-step example will make the entire process clear. Let's solve it together!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4515077/34475651787114f00d643520dd666301/564x318_1"},"target":"_self","position":"18","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Ddlkcm3W7Cl0","linkTemplate":"/video/preview/6029006925988676856?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics: Mathematical Induction Example (Step-by-Step)","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dlkcm3W7Cl0\",\"src\":\"serp\",\"rvb\":\"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__4F-wYA-wMDDQoI-wIEAAAC-f_-AP3y9fj-BP4A-_kK-gEAAAD9AvwFAQAAAPj6-w___wAADAD9A_sAAAARCPj99wAAABQF_wD-AQAA9v4DBAMAAAAMFAkBAAAAAPMK__77_wAA_g4FAAAAAAANBQIDAAAAACAALU8Y5Ds4E0AJSE5QAipzEAAaYPUQACEZDPzBNTXmzvPfBvHuBLsO6vT_4_sAAefd0wwM3_DyIf8RuQ_wvAAAABIC7hYsANpY497oJyy_FcT_6hwWf_QfBfxD7vnXKyLg6h8iCuTpEwD-6eUqDQDANN4ZLiAALfHSPzs4E0AJSG9QAiqvBhAMGqAGAACwQQAAMMEAAAxCAACCQgAAoMAAALjBAAAkQgAAwMAAAGDCAAAwwgAAWEIAAADBAAAIwgAAiEEAAAxCAAAMwgAAcEEAABjCAAAAwgAAGEIAAGBBAACCwgAAaMIAAIBAAAC4wQAAOEIAAETCAADgwAAAOEIAACBBAAAQwQAAFEIAANrCAAAgQQAAXMIAAJhBAAAgwQAAsEIAABhCAAAgwQAAEMEAAHBBAAAgQQAAHEIAACDCAABQwQAAoMEAANjBAAD4QQAAmEIAABBBAADowQAAEEIAAMBAAABkQgAA0EEAACDBAAAgwgAA8EEAAABBAABgQQAAAMAAALDCAABAwQAAAEAAAFxCAAD4wQAAQEAAAIA_AAA4QgAAqEEAANhBAAAQwgAAGEIAABzCAAAAwwAAcMIAAIC_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-AAAQPQAAij4AADC9AABwPQAA5j4AAIA7AABzvwAAtr4AAAS-AACAuwAA_r4AAIC7AAAQPQAAQLwAACS-AAAMPgAAmL0AAFQ-AABfPwAAfz8AAKq-AACOPgAAmL0AADw-AAAUvgAAuD0AABA9AADYPQAA0j4AAOI-AACuvgAAkj4AAA0_AAAwvQAAmj4AAFS-AAD2vgAAHb8AAHS-AACevgAAcL0AAEQ-AABkvgAAqr4AAJa-AAAFPwAAB78AALa-AADivgAAE78AABS-AADCPgAAHD4AAES-AABQPQAAWT8AAMI-AACoPQAARD4AACS-AADSPgAA6D0AAHQ-IAA4E0AJSHxQASqPAhABGoACAACAuwAADD4AAMi9AAATvwAAvr4AAEA8AACKPgAAHD4AAIA7AADIPQAA6L0AAFy-AABAPAAATL4AAOg9AACgvAAAuD0AAAE_AABwvQAABT8AALg9AABQPQAARL4AADy-AACAuwAAqL0AAEA8AACIPQAAPL4AAIC7AACgvAAAiD0AADA9AAA0vgAAMD0AAHC9AAAUPgAAjj4AAGS-AADoPQAAuD0AAFC9AACgPAAAEL0AAEC8AACIPQAAf78AAKi9AACavgAAcL0AAHA9AAAcPgAAoLwAAJg9AAAkPgAA2D0AAKi9AABQPQAAMD0AAOg9AACYPQAAyD0AAOg9AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=dlkcm3W7Cl0","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6029006925988676856"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8931498498084010753":{"videoId":"8931498498084010753","docid":"34-0-1-Z0B0EC8ED158DA702","description":"Subject - Discrete Mathematics Video Name - Lattice Problem 1 Chapter - Poset and Lattice Faculty - Prof. Farhan Meer Upskill and get Placements with Ekeeda Career Tracks Data Science...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3382634/2fb061b441ee76ee879f1383b178b79f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RqxJNAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_7qAQ2RPnMY","linkTemplate":"/video/preview/8931498498084010753?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lattice Problem 1 - Poset and Lattice - Discrete Mathematics","related_orig_text":"Discrete Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Discrete Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_7qAQ2RPnMY\",\"src\":\"serp\",\"rvb\":\"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_f_-_gMA-wMDDgoI-wIGB_gA9___APEBAvz-AQAA7gAF_w0AAAD2BPkC-AAAAPj5-w___wAADg39_vgAAAAc_AIDAgD_ABUIAvX-AQAA_PwKBAP_AAAM_v0BAAAAAPAIAgb-AAAACgr8DAAAAAAF__v2AAAAACAALVL32js4E0AJSE5QAiqEAhAAGvABbR4JA8vPAP_33tsAyRXi_4EAAv8lEP4As_sZAa8R6f_xKdYA1esNAA7r_QHBFwcALtrV___o6AEF8Az_K-v4AOMk_QEfvRoATBLzACvk4f_RBRr_EugN_xDf-AACFeoD_uckABUZ6P7_6NAAFugoAhQOBQIX6gb_8ssH_-MCCgHm99z98AIMAfQED_7N_hwB_Q3lBOoL8fjQHe3_EQL1BuLk9_stEOcB__76A-oeCAHV5en9Je74AOwPDfvyEgT58REIBurq_wIhFvQG_OEKCArq9QUi6fgH-_UJ_QLd-fPpBwUB2x0N--_qCw_-8f4BIAAtv08kOzgTQAlIYVACKs8HEAAawAdxzLq-5q8LOkfhIbyagpu9qbUXvAMFXr34qA--p_PXPOVeIL0UdhE-3w7evCa-gzuz8HW-x9CWvEVkQDktC1Y-sIpcvUEtJr1i2Sy-cgKqO8NkCr0R_D--f2B4PRBEErxMGQg-pozuPDOuUbt9BRk-7pSOvRX4rzxHPpq9Axr0O7TkFDzr5n29ia6Qvf4eIzzmy4s9fJYMvW48zjxg5yY-DdMNvfEe8bwWrCc8cbWpPPvEJrvXfqe9C_1dvHdLcrwED8I9IiaHPRBKTjxDxz06uNkpvdlan7wfoaS7ViYhPWaGqjsWAg-9NM7wu1ODfrtFx0Q8n8-bvRNmtTxCCi6-Pl8OvWzDcrwGnZS6FXRbPe0wIT2rTr28kRSsPExw5ju60tc8yEmcPeYDBrupMuw98T-DvREVsjt79AY-Si65O9a6v7vMvXY9NEcGPn7Sv7sgS6o9qBb2vFx2iLyyy4E8agSBPckMirwqWYm9JXQ4u6a1zLrxPIK80F23vDLVgjx9CdU9EaqzOupChztl4Qs-Rf6yOxTVtjyV3Dy9PPHBvUPp5rsCZwQ9KE80PCJAHzu7z1Y9EhUKvaZPobzfd0I9iuhXvNefabxtpJE8Xsh5vR-sNTtqM0q7ffYyPd3ftTmtgTK9t1bFPP4w_Lsofqw9vXqLPH4tFjt8wJe8Wr9UvS_j4Dt2Zqe8l4brPB2UCzuyg4g75gTNvXk76LjVlQ8-1OxGveVHGbntz2q91f-evOr5e7qIeos8dGKsutAObboG8Ds9AMsGPGFN5Lk_3pI7EAjPPPPE1rgMXGY5ZUKCu2-mIrraP-o8CUbvvHJtarr_I0O-ZmfRvTzykDleyQS97Qn1u7H9UbqbqRW9kNcjPf2WPLptPkm9YvRMvururDk-aqK9GiSzvDGMObgmQGM9Myr8OyjNgzhWWLq9HcYJPJ3VtrnPRD29G0xevTJeOzmsuru6UMiOPWTM-jcytds8eBIsvTheBDln0uY8Au0zPfBKgzkGzmM9DSsmPcvVS7ZVmZQ7k0yDPZQPmbjMyAq9s082vbaP1TjhanM9Zz1BPWX26bhaNKO9fFpKPXIgbDhN3JU9yF_avQThDjnzAqw9gxddvRIqwDipRlS9xzmwPSr9KDicho28qw6UPcvS0bdnQwO9rfAYPYvUOrhyNAk7cI60vTjSjbaU2YW8TD5RvE94ELe1Cxs83txpvU2DHbjK9HA9IuErPvHLijgHC6e8vfzuPYO0HrmfYaC8asK2ve1KKLhLKY698iiQPeAzXLggADgTQAlIbVABKnMQABpgC_8AKQ823_PeU_kJzfYm7-T7mQDv-P8D8__j7-XiBe7mzO8hABvkH8akAAAAEgDZ-igA-H_gyO8U2OQFmr3tJhFuCw8VuiLyAeAhJBcJAxIQ1ApuAM_-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-MEAAJDBAAD4wQAAmEEAAP5CAAAAwQAAAEAAAIDAAADAQAAAyEEAAGDBAACwQQAAQEEAAODAAAAAwgAAEMIAAMhBAAAEQgAAyMEAAJxCAAAwQQAAMEEAADjCAADIQQAAJEIAAEjCAADYwQAAMMIAAMDAAACSQgAAqMIAAMjBAAAoQgAAQEEAACBBAACAvwAAgMAAADBBAACYQQAAAMEAAAjCAACoQQAAQEEAACDBAABAwiAAOBNACUh1UAEqjwIQABqAAgAAFL4AACQ-AAC4PQAA4DwAAHy-AAABPwAAUL0AAC-_AABMvgAAcL0AABA9AABcvgAAqD0AAHA9AAAUvgAAJL4AAFw-AACIvQAARD4AABs_AAB_PwAAjr4AAIo-AACYvQAAoLwAALi9AAAEPgAABD4AADS-AABMPgAAmj4AAES-AACgvAAAZD4AAOg9AADIPQAAiD0AADS-AADKvgAAxr4AAIK-AAAUvgAApj4AAKC8AAAUvgAAqD0AANI-AACqvgAAgr4AAEy-AABcvgAABL4AADQ-AABQPQAAZL4AAFA9AAArPwAAmD0AADQ-AADYPQAAML0AAI4-AAAcPgAA6L0gADgTQAlIfFABKo8CEAEagAIAANi9AAAUPgAAgr4AAAe_AAA8vgAA2D0AAOg9AAAQvQAABL4AAMY-AAAQPQAAmL0AAIA7AAA8vgAAmD0AAKi9AADYvQAAOT8AADS-AADWPgAAND4AACy-AAAEPgAABL4AAIC7AAC4vQAAFL4AAGQ-AABwPQAAXL4AAHA9AAAwvQAAgLsAAOi9AACCPgAAEL0AAIY-AAC-PgAAPL4AAKi9AACyPgAAyL0AAEA8AAB8vgAAqD0AADw-AAB_vwAA4LwAAOi9AABAvAAA4DwAAEC8AADIPQAAND4AAEC8AABwPQAAqL0AAPg9AAAwPQAAyD0AABC9AAAsPgAAPD4AAMg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=_7qAQ2RPnMY","parent-reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8931498498084010753"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1250293904"}},"dups":{"10653760658944869312":{"videoId":"10653760658944869312","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] Course for Beginners","cleanTitle":"Discrete Mathematics Course for Beginners","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=G9JxuWk7BDA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/G9JxuWk7BDA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDOGJ1dElTRndULVdsN0VWMGhVSzBCUQ==","name":"freeCodeCamp.org","isVerified":true,"subscribersCount":0,"url":"/video/search?text=freeCodeCamp.org","origUrl":"http://www.youtube.com/@freecodecamp","a11yText":"freeCodeCamp.org. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":32736,"text":"9:05:36","a11yText":"Süre 9 saat 5 dakika 36 saniye","shortText":"9 sa. 5 dk."},"views":{"text":"87,3bin","a11yText":"87,3 bin izleme"},"date":"13 kas 2025","modifyTime":1763043707000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/G9JxuWk7BDA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=G9JxuWk7BDA","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":32736},"parentClipId":"10653760658944869312","href":"/preview/10653760658944869312?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/10653760658944869312?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12117964817532335009":{"videoId":"12117964817532335009","title":"Introduction to \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Introduction to Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/p2b2Vb-cYCs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/p2b2Vb-cYCs?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDUVlNaE9NaV9DZGoxQ0VBVS1mdjgwQQ==","name":"Neso Academy","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Neso+Academy","origUrl":"http://www.youtube.com/@nesoacademy","a11yText":"Neso Academy. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":576,"text":"9:36","a11yText":"Süre 9 dakika 36 saniye","shortText":"9 dk."},"views":{"text":"1,6milyon","a11yText":"1,6 milyon izleme"},"date":"13 nis 2018","modifyTime":1523577600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/p2b2Vb-cYCs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=p2b2Vb-cYCs","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":576},"parentClipId":"12117964817532335009","href":"/preview/12117964817532335009?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/12117964817532335009?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3996431818349275764":{"videoId":"3996431818349275764","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] Lecture 1: Introduction & Basics | For Computer Science & \u0007[Mathematics...","cleanTitle":"Discrete Mathematics Lecture 1: Introduction & Basics | For Computer Science & Mathematics Students","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=bc0NV0KVqMQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/bc0NV0KVqMQ?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDSmRYTVluN1JhT3Y4UUFzQmoxYjk2UQ==","name":"B Learning Club","isVerified":false,"subscribersCount":0,"url":"/video/search?text=B+Learning+Club","origUrl":"http://www.youtube.com/@blearningclub","a11yText":"B Learning Club. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":199,"text":"3:19","a11yText":"Süre 3 dakika 19 saniye","shortText":"3 dk."},"date":"6 eki 2025","modifyTime":1759708800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/bc0NV0KVqMQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=bc0NV0KVqMQ","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":199},"parentClipId":"3996431818349275764","href":"/preview/3996431818349275764?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/3996431818349275764?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11028985195965863570":{"videoId":"11028985195965863570","title":"Basics of \u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Discrete\u0007] \u0007[Mathematics\u0007] Full Course | Great Learning","cleanTitle":"Basics of Discrete Mathematics | Discrete Mathematics Full Course | Great Learning","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FMh8qNV3PHk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FMh8qNV3PHk?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDT2JzMGtMSXJEalgyTExTeWJxTmFFQQ==","name":"Great Learning","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Great+Learning","origUrl":"http://www.youtube.com/@greatlearning","a11yText":"Great Learning. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":13294,"text":"3:41:34","a11yText":"Süre 3 saat 41 dakika 34 saniye","shortText":"3 sa. 41 dk."},"views":{"text":"71,7bin","a11yText":"71,7 bin izleme"},"date":"18 şub 2022","modifyTime":1645192212000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FMh8qNV3PHk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FMh8qNV3PHk","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":13294},"parentClipId":"11028985195965863570","href":"/preview/11028985195965863570?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/11028985195965863570?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14585013118010421031":{"videoId":"14585013118010421031","title":"Introduction to graph theory - \u0007[discrete\u0007] \u0007[mathematics\u0007]","cleanTitle":"Introduction to graph theory - discrete mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/HkNdNpKUByM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/HkNdNpKUByM?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR1lTZlpiUHAzQmlBRnM1MzFQQlk3Zw==","name":"TrevTutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=TrevTutor","origUrl":"http://www.youtube.com/@Trevtutor","a11yText":"TrevTutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2002,"text":"33:22","a11yText":"Süre 33 dakika 22 saniye","shortText":"33 dk."},"views":{"text":"844,5bin","a11yText":"844,5 bin izleme"},"date":"10 mayıs 2015","modifyTime":1431216000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/HkNdNpKUByM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=HkNdNpKUByM","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":2002},"parentClipId":"14585013118010421031","href":"/preview/14585013118010421031?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/14585013118010421031?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5302224489571786016":{"videoId":"5302224489571786016","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] | Overview & Concept Of SET Theory By Dr.Gajendra Purohit","cleanTitle":"Discrete Mathematics | Overview & Concept Of SET Theory By Dr.Gajendra Purohit","host":{"title":"YouTube","href":"http://www.youtube.com/live/wGLTV8MgLlA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wGLTV8MgLlA?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDXzROb1ZBa1F6ZVNheENnbS10bzI1QQ==","name":"Dr.Gajendra Purohit","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Dr.Gajendra+Purohit","origUrl":"http://www.youtube.com/@gajendrapurohit","a11yText":"Dr.Gajendra Purohit. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1495,"text":"24:55","a11yText":"Süre 24 dakika 55 saniye","shortText":"24 dk."},"views":{"text":"2,6milyon","a11yText":"2,6 milyon izleme"},"date":"26 şub 2022","modifyTime":1645833600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wGLTV8MgLlA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wGLTV8MgLlA","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":1495},"parentClipId":"5302224489571786016","href":"/preview/5302224489571786016?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/5302224489571786016?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14662113364920911116":{"videoId":"14662113364920911116","title":"Let's Talk About \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Let's Talk About Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/WpWIIixqBGE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WpWIIixqBGE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":205,"text":"3:25","a11yText":"Süre 3 dakika 25 saniye","shortText":"3 dk."},"views":{"text":"20bin","a11yText":"20 bin izleme"},"date":"21 mar 2025","modifyTime":1742572088000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WpWIIixqBGE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WpWIIixqBGE","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":205},"parentClipId":"14662113364920911116","href":"/preview/14662113364920911116?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/14662113364920911116?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15444969218687190902":{"videoId":"15444969218687190902","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007]: Examples of True or False Questions That May Appear in the \u0007[Discrete\u0007...","cleanTitle":"Discrete Mathematics: Examples of True or False Questions That May Appear in the Discrete Mathema...","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_EcYQnRG9NE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_EcYQnRG9NE?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbEtCZC00eEZWb2RGbUszYlpmSkFBUQ==","name":"BUders Boğaziçiliden Özel Ders","isVerified":false,"subscribersCount":0,"url":"/video/search?text=BUders+Bo%C4%9Fazi%C3%A7iliden+%C3%96zel+Ders","origUrl":"http://www.youtube.com/@Buders","a11yText":"BUders Boğaziçiliden Özel Ders. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1126,"text":"18:46","a11yText":"Süre 18 dakika 46 saniye","shortText":"18 dk."},"views":{"text":"1,9bin","a11yText":"1,9 bin izleme"},"date":"25 kas 2024","modifyTime":1732492800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_EcYQnRG9NE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_EcYQnRG9NE","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":1126},"parentClipId":"15444969218687190902","href":"/preview/15444969218687190902?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/15444969218687190902?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10856230078356215835":{"videoId":"10856230078356215835","title":"[\u0007[Discrete\u0007] \u0007[Mathematics\u0007]] Exclusive Or Example","cleanTitle":"[Discrete Mathematics] Exclusive Or Example","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TCt8wGBEdYY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TCt8wGBEdYY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR1lTZlpiUHAzQmlBRnM1MzFQQlk3Zw==","name":"TrevTutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=TrevTutor","origUrl":"http://www.youtube.com/@Trevtutor","a11yText":"TrevTutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":278,"text":"4:38","a11yText":"Süre 4 dakika 38 saniye","shortText":"4 dk."},"views":{"text":"95,8bin","a11yText":"95,8 bin izleme"},"date":"17 mayıs 2016","modifyTime":1463443200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TCt8wGBEdYY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TCt8wGBEdYY","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":278},"parentClipId":"10856230078356215835","href":"/preview/10856230078356215835?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/10856230078356215835?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1232497036259563773":{"videoId":"1232497036259563773","title":"Quantifiers - Logic - \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Quantifiers - Logic - Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lBytdLgO35U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lBytdLgO35U?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbHRWRVo2R2VjV250b1oxOUZ2YVdoUQ==","name":"Ekeeda","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Ekeeda","origUrl":"http://www.youtube.com/@Ekeeda","a11yText":"Ekeeda. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1002,"text":"16:42","a11yText":"Süre 16 dakika 42 saniye","shortText":"16 dk."},"views":{"text":"135,4bin","a11yText":"135,4 bin izleme"},"date":"8 nis 2022","modifyTime":1649376000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lBytdLgO35U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lBytdLgO35U","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":1002},"parentClipId":"1232497036259563773","href":"/preview/1232497036259563773?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/1232497036259563773?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17190620922100110040":{"videoId":"17190620922100110040","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] for Beginners","cleanTitle":"Discrete Mathematics for Beginners","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8xvHsh3MGvg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8xvHsh3MGvg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":583,"text":"9:43","a11yText":"Süre 9 dakika 43 saniye","shortText":"9 dk."},"views":{"text":"61,3bin","a11yText":"61,3 bin izleme"},"date":"19 mar 2024","modifyTime":1710865919000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8xvHsh3MGvg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8xvHsh3MGvg","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":583},"parentClipId":"17190620922100110040","href":"/preview/17190620922100110040?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/17190620922100110040?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1474508492295917550":{"videoId":"1474508492295917550","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] Roadmap | Engineering \u0007[Mathematics\u0007]","cleanTitle":"Discrete Mathematics Roadmap | Engineering Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iz2V4ZM0B2U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iz2V4ZM0B2U?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDN3h6MGl3RXFFYU9DVEJmdGNHVTZIUQ==","name":"Tending to Infinity","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Tending+to+Infinity","origUrl":"http://www.youtube.com/@TendingtoInfinity","a11yText":"Tending to Infinity. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1771,"text":"29:31","a11yText":"Süre 29 dakika 31 saniye","shortText":"29 dk."},"views":{"text":"46,3bin","a11yText":"46,3 bin izleme"},"date":"19 şub 2025","modifyTime":1739975406000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iz2V4ZM0B2U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iz2V4ZM0B2U","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":1771},"parentClipId":"1474508492295917550","href":"/preview/1474508492295917550?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/1474508492295917550?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12826079058440655133":{"videoId":"12826079058440655133","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007]: Logical Inference with Truth Table Sample Question-1","cleanTitle":"Discrete Mathematics: Logical Inference with Truth Table Sample Question-1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=B3fBFeHIckI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/B3fBFeHIckI?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbEtCZC00eEZWb2RGbUszYlpmSkFBUQ==","name":"BUders Boğaziçiliden Özel Ders","isVerified":false,"subscribersCount":0,"url":"/video/search?text=BUders+Bo%C4%9Fazi%C3%A7iliden+%C3%96zel+Ders","origUrl":"http://www.youtube.com/@Buders","a11yText":"BUders Boğaziçiliden Özel Ders. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":449,"text":"7:29","a11yText":"Süre 7 dakika 29 saniye","shortText":"7 dk."},"views":{"text":"3,9bin","a11yText":"3,9 bin izleme"},"date":"15 eki 2024","modifyTime":1728949054000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/B3fBFeHIckI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=B3fBFeHIckI","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":449},"parentClipId":"12826079058440655133","href":"/preview/12826079058440655133?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/12826079058440655133?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15701493437747065915":{"videoId":"15701493437747065915","title":"Introduction to propositional logic - \u0007[discrete\u0007] \u0007[mathematics\u0007]","cleanTitle":"Introduction to propositional logic - discrete mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=itrXYg41-V0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/itrXYg41-V0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR1lTZlpiUHAzQmlBRnM1MzFQQlk3Zw==","name":"TrevTutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=TrevTutor","origUrl":"http://www.youtube.com/@Trevtutor","a11yText":"TrevTutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":661,"text":"11:01","a11yText":"Süre 11 dakika 1 saniye","shortText":"11 dk."},"views":{"text":"973,2bin","a11yText":"973,2 bin izleme"},"date":"17 tem 2017","modifyTime":1500249600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/itrXYg41-V0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=itrXYg41-V0","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":661},"parentClipId":"15701493437747065915","href":"/preview/15701493437747065915?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/15701493437747065915?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7817471422973530452":{"videoId":"7817471422973530452","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Mathematical\u0007] Induction | SET Theory | Lecture 04 | Pradeep GIRI S...","cleanTitle":"Discrete Mathematics | Mathematical Induction | SET Theory | Lecture 04 | Pradeep GIRI SIR","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7WUPTe39fMg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7WUPTe39fMg?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDT2dNQlRkRlRTQ3RyOHA3eVZ6U0hrdw==","name":"Pradeep Giri Academy","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Pradeep+Giri+Academy","origUrl":"http://www.youtube.com/@pradeepgiriacademy","a11yText":"Pradeep Giri Academy. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2569,"text":"42:49","a11yText":"Süre 42 dakika 49 saniye","shortText":"42 dk."},"views":{"text":"479,2bin","a11yText":"479,2 bin izleme"},"date":"24 ağu 2023","modifyTime":1692835200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7WUPTe39fMg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7WUPTe39fMg","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":2569},"parentClipId":"7817471422973530452","href":"/preview/7817471422973530452?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/7817471422973530452?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4109035255754998327":{"videoId":"4109035255754998327","title":"[\u0007[Discrete\u0007] \u0007[Mathematics\u0007]] Midterm 2 Solutions","cleanTitle":"[Discrete Mathematics] Midterm 2 Solutions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_8ABr2Zkfog","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_8ABr2Zkfog?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDR1lTZlpiUHAzQmlBRnM1MzFQQlk3Zw==","name":"TrevTutor","isVerified":true,"subscribersCount":0,"url":"/video/search?text=TrevTutor","origUrl":"http://www.youtube.com/@Trevtutor","a11yText":"TrevTutor. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2025,"text":"33:45","a11yText":"Süre 33 dakika 45 saniye","shortText":"33 dk."},"views":{"text":"65,6bin","a11yText":"65,6 bin izleme"},"date":"7 mayıs 2015","modifyTime":1430956800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_8ABr2Zkfog?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_8ABr2Zkfog","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":2025},"parentClipId":"4109035255754998327","href":"/preview/4109035255754998327?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/4109035255754998327?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6029006925988676856":{"videoId":"6029006925988676856","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007]: \u0007[Mathematical\u0007] Induction Example (Step-by-Step)","cleanTitle":"Discrete Mathematics: Mathematical Induction Example (Step-by-Step)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dlkcm3W7Cl0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dlkcm3W7Cl0?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDc3d3UHpNNEJwTldoaE9sdEtpMkFpQQ==","name":"Saeed AlSaeed","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Saeed+AlSaeed","origUrl":"http://www.youtube.com/@Saeed-Al-Saeed","a11yText":"Saeed AlSaeed. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1094,"text":"18:14","a11yText":"Süre 18 dakika 14 saniye","shortText":"18 dk."},"date":"31 eki 2025","modifyTime":1761868800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dlkcm3W7Cl0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dlkcm3W7Cl0","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":1094},"parentClipId":"6029006925988676856","href":"/preview/6029006925988676856?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/6029006925988676856?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8931498498084010753":{"videoId":"8931498498084010753","title":"Lattice Problem 1 - Poset and Lattice - \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Lattice Problem 1 - Poset and Lattice - Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_7qAQ2RPnMY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_7qAQ2RPnMY?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDbHRWRVo2R2VjV250b1oxOUZ2YVdoUQ==","name":"Ekeeda","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Ekeeda","origUrl":"http://www.youtube.com/@Ekeeda","a11yText":"Ekeeda. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":489,"text":"8:09","a11yText":"Süre 8 dakika 9 saniye","shortText":"8 dk."},"views":{"text":"115,6bin","a11yText":"115,6 bin izleme"},"date":"8 nis 2022","modifyTime":1649376000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_7qAQ2RPnMY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_7qAQ2RPnMY","reqid":"1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL","duration":489},"parentClipId":"8931498498084010753","href":"/preview/8931498498084010753?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","rawHref":"/video/preview/8931498498084010753?parent-reqid=1769654786933345-7356131690713297744-balancer-l7leveler-kubr-yp-vla-91-BAL&text=Discrete+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"7356131690713297744791","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Discrete Mathematics","queryUriEscaped":"Discrete%20Mathematics","filterMode":1,"isUserChild":false,"advInstreamConfig":{"regular":{"default":{"category":"2","impId":"7","partnerId":"2216089","vmapScenarioId":"119"}},"adult":{"default":{"category":"3","impId":"4","partnerId":"1988486","vmapScenarioId":"119"}}}},"playbackQueue":{"currentIndex":0,"items":[]},"related":{"items":[],"pages":[],"loadingStatus":"None","nextPageNum":0,"ncrnd":0},"playlist":{"items":{}},"delayedViews":{"ids":[],"loadingStatus":"None"}}}