{"pages":{"search":{"query":"IBS Discrete Mathematics Group","originalQuery":"IBS Discrete Mathematics Group","serpid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","parentReqid":"","serpItems":[{"id":"13752500253416653439-0-0","type":"videoSnippet","props":{"videoId":"13752500253416653439"},"curPage":0},{"id":"13047587433181487358-0-1","type":"videoSnippet","props":{"videoId":"13047587433181487358"},"curPage":0},{"id":"16330893593645044148-0-2","type":"videoSnippet","props":{"videoId":"16330893593645044148"},"curPage":0},{"id":"16014870090373979157-0-3","type":"videoSnippet","props":{"videoId":"16014870090373979157"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dElCUyBEaXNjcmV0ZSBNYXRoZW1hdGljcyBHcm91cAo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","ui":"desktop","yuid":"3903766351765328546"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"8924300403293193195-0-5","type":"videoSnippet","props":{"videoId":"8924300403293193195"},"curPage":0},{"id":"1800556989246017156-0-6","type":"videoSnippet","props":{"videoId":"1800556989246017156"},"curPage":0},{"id":"10938975009855427185-0-7","type":"videoSnippet","props":{"videoId":"10938975009855427185"},"curPage":0},{"id":"14602123773250357159-0-8","type":"videoSnippet","props":{"videoId":"14602123773250357159"},"curPage":0},{"id":"13309042555825809552-0-9","type":"videoSnippet","props":{"videoId":"13309042555825809552"},"curPage":0},{"id":"1316527616777248467-0-10","type":"videoSnippet","props":{"videoId":"1316527616777248467"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dElCUyBEaXNjcmV0ZSBNYXRoZW1hdGljcyBHcm91cAo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","ui":"desktop","yuid":"3903766351765328546"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"8668744256169749971-0-12","type":"videoSnippet","props":{"videoId":"8668744256169749971"},"curPage":0},{"id":"7151808757914533130-0-13","type":"videoSnippet","props":{"videoId":"7151808757914533130"},"curPage":0},{"id":"10497539734421723805-0-14","type":"videoSnippet","props":{"videoId":"10497539734421723805"},"curPage":0},{"id":"9552242494838889347-0-15","type":"videoSnippet","props":{"videoId":"9552242494838889347"},"curPage":0},{"id":"1158152777847449333-0-16","type":"videoSnippet","props":{"videoId":"1158152777847449333"},"curPage":0},{"id":"14499593316673765644-0-17","type":"videoSnippet","props":{"videoId":"14499593316673765644"},"curPage":0},{"id":"15165358836605342875-0-18","type":"videoSnippet","props":{"videoId":"15165358836605342875"},"curPage":0},{"id":"16043474380469856326-0-19","type":"videoSnippet","props":{"videoId":"16043474380469856326"},"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,"isFeedbackModalVisible":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":"dElCUyBEaXNjcmV0ZSBNYXRoZW1hdGljcyBHcm91cAo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","ui":"desktop","yuid":"3903766351765328546"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DIBS%2BDiscrete%2BMathematics%2BGroup"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2905647178433939267222","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":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-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":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_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_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,"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":["1419614,0,11;1397829,0,40;1433082,0,60;1410881,0,18;1432976,0,40;1436972,0,79;1437713,0,47;1430177,0,24;1134671,0,87;1427781,0,80;1434896,0,82;1428502,0,90;1417320,0,36;1002673,0,44;1431265,0,7;1418769,0,15;1425768,0,94;1433738,0,35;1417819,0,92;1428626,0,56;708540,0,92;1440100,0,79;1419907,0,1;1146114,0,30;1349038,0,87;1430495,0,17;1425586,0,21;133997,0,37;1428092,0,0;1417539,0,61;1432056,0,84;263461,0,73;255406,0,73;1427070,0,1;1422262,0,37;1433911,0,19;1435632,0,12;124078,0,6;151171,0,44;1281084,0,0;287509,0,93;788004,0,17;912285,0,76"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DIBS%2BDiscrete%2BMathematics%2BGroup","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=IBS+Discrete+Mathematics+Group","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":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=IBS+Discrete+Mathematics+Group","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"IBS Discrete Mathematics Group: 2 bin video Yandex'te bulundu","description":"\"IBS Discrete Mathematics Group\" sorgusu için arama sonuçları Yandex'te","shareTitle":"IBS Discrete Mathematics Group — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y2b84989c1d91ccd4055ff54d8b227412","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1419614,1397829,1433082,1410881,1432976,1436972,1437713,1430177,1134671,1427781,1434896,1428502,1417320,1002673,1431265,1418769,1425768,1433738,1417819,1428626,708540,1440100,1419907,1146114,1349038,1430495,1425586,133997,1428092,1417539,1432056,263461,255406,1427070,1422262,1433911,1435632,124078,151171,1281084,287509,788004,912285","queryText":"IBS Discrete Mathematics Group","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"3903766351765328546","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1441146,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765328597","tz":"America/Louisville","to_iso":"2025-12-09T20:03:17-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-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":"1419614,1397829,1433082,1410881,1432976,1436972,1437713,1430177,1134671,1427781,1434896,1428502,1417320,1002673,1431265,1418769,1425768,1433738,1417819,1428626,708540,1440100,1419907,1146114,1349038,1430495,1425586,133997,1428092,1417539,1432056,263461,255406,1427070,1422262,1433911,1435632,124078,151171,1281084,287509,788004,912285","queryText":"IBS Discrete Mathematics Group","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"3903766351765328546","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":"2905647178433939267222","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":147,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":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,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":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":"3903766351765328546","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1729.0__491d2077c35fc53c28577367d9c4833c662b0670","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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":"gs.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","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"13752500253416653439":{"videoId":"13752500253416653439","docid":"34-10-11-Z3EE89F3C4DF17734","description":"In this video, we explore the fascinating world of groups, a fundamental concept in abstract algebra and discrete mathematics. Inverse Element: For every element a in G, there exists an inverse...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/761521/c81b03e064ca34ab09b1a0d0d3e537c9/564x318_1"},"target":"_self","position":"0","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Da2y51o9X4mo","linkTemplate":"/video/preview/13752500253416653439?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group in discrete mathematics | Group Theory | Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=a2y51o9X4mo\",\"src\":\"serp\",\"rvb\":\"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_E_YEggQkAYAEKyqLARABGniBAQP9AvsFAPX-CgsCBv0BBAAAAvn__gAACfr1-AP-APbxCfz-AAAA_AX1_AAAAADz-gEF_QAAAAYD_QEEAAAAEQj4_fcAAAAPEPr5_gEAAPwAAv0D_wAAAggB_P8AAAD2AQL7-AD_Af4PBQAAAAAABgIAAAAAAAAgAC13W-M7OBNACUhOUAIqcxAAGmDgDAAiFRn8zT024c3v0O_9_xLN8-nt_9bxAPsM3NcJBenq6Q__DsYA7L8AAAAO9QMMKADTVtXbvC8XDgTp7_gfH3_yMvDyKu7v1C0J8d0oChXi5CQA7OjbIA4J6i_v_jogAC0yH0g7OBNACUhvUAIqrwYQDBqgBgAA-EEAACBBAAC8QgAALMIAAGBCAADowQAAcMEAADzCAAAMwgAAFEIAAMDBAAAAAAAAosIAAHTCAAAAwAAAIMEAAATCAACwQQAAQEIAAEjCAACEQgAAoMAAALjBAADQQQAAykIAACTCAADAwQAAoMAAAGBBAADwQQAAAMIAACBCAAAkQgAAoEEAANDBAADoQQAAJMIAAKBBAACAwAAAAAAAAJxCAACIwQAAiMEAAADAAAAAAAAAJMIAAFjCAABQwQAAikIAAFjCAABAwAAAHMIAACTCAACgwAAAgEEAAMBBAABcwgAALEIAANDBAACcQgAAlkIAAKBBAABgQQAAsMEAAIC_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_AACIPQAAZ78AAGS-AAAcvgAAoLwAABy-AAAEPgAAyD0AADS-AADgvAAAfD4AAMg9AACGPgAALT8AAH8_AAAsvgAA4j4AAI6-AACKvgAAQLwAAEw-AACovQAAXL4AAFA9AAD6PgAAnr4AAFA9AACyPgAAyL0AAHw-AACAuwAAVL4AANK-AACavgAAUL0AAIq-AAC4PQAA4LwAAFS-AACmvgAAqj4AANq-AACIvQAAzr4AABS-AAC4vQAAPD4AAKg9AAA0PgAAoDwAAGk_AABkPgAAmD0AACw-AADIvQAAMD0AAFA9AACgPCAAOBNACUh8UAEqjwIQARqAAgAAmL0AAIA7AACSvgAAGb8AAIq-AAD4PQAAxj4AAPi9AAAwPQAAoj4AAIC7AAAQvQAAiD0AAIi9AACgPAAAgDsAAKA8AAARPwAARL4AAAk_AACoPQAA4LwAAAy-AADYvQAAmD0AANg9AACgvAAAyD0AAFS-AADgPAAA4DwAAIA7AACgvAAATL4AAAQ-AABwvQAA2D0AACw-AABUvgAAEL0AAIo-AACgPAAADD4AAIi9AABQPQAA6L0AAH-_AABAPAAALL4AAMi9AADYPQAAFD4AAHC9AACoPQAABD4AAOg9AACovQAAED0AAKA8AABQPQAA-D0AANg9AADoPQAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=a2y51o9X4mo","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13752500253416653439"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13047587433181487358":{"videoId":"13047587433181487358","docid":"34-3-0-ZD962DFF13A702F62","description":"This video contains 1. What is Group in Discrete Mathematics? 2. Example of Group in Group Theory of Discrete Mathematics. #Group #GroupTheory #GroupinDiscreteMathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3175070/a104d15359c142e67ab5a18796997e18/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/I4Lv_wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLAKzXSikvSw","linkTemplate":"/video/preview/13047587433181487358?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group || group theory || abstract algebra || discrete mathematics || dms || mfcs","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LAKzXSikvSw\",\"src\":\"serp\",\"rvb\":\"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-wMDDwsJ-gIQ8_kB9gD_AAAK-fT3BP4A6fgFBfz_AAD4_PECAAAAAPb--wj0_wEACwUACQQAAAAeCvMF_QAAAAUVAPr-AQAA_ggDAAP_AAAABQj-_wAAAPwG-Pz5_gAB_hAFAQAAAAAL_wb-AAEAACAALfQJ0Ds4E0AJSE5QAiqEAhAAGvABf_TzAqH46Pws6ewACA_0AasuA_8aIuQApCMaAsMK_gHvFuIA1fvO__bvDP_s-C8AOPfQ__rVAgAk7vL_KhH8AQf-AAAo6-8AP_QEAAoK9P_6EQb_EugM_yHY9wH2A9QB_uoT_9kI3AAF8OcA-_cGBCIcHgTy_PwE8usLAcEY_v_4_OIAF_n-_tIQEP_HHRYD9eAU_90V_v3l9QH__hoJ-RXUAQIH5t8A6uYABg4DEQX7AAz2_eXu-wMHGALmCQX79Pf-9tr7CPgFDv8IGOL-ARYM_vLr3AACAjDvBv_sB_XaEQ4F-vr_7_cN-QvVFfcIIAAteAApOzgTQAlIYVACKs8HEAAawAdjQ---D8GnvNOAgzsPrb89H2krvaGtubx0fHQ9qoGmPbkXGLwqsSY99sxXvQ_WIbmZgKe-ZfvQPJ_6ET0tC1Y-sIpcvUEtJr16Fy--CDwwPSmf1LwR_D--f2B4PRBEErxMGQg-pozuPDOuUbvBfr498vfBvRetbbyq_4291oOzvdSd57xDrC6-CUMOvaCkZTxuMLk82QVIvWqhxzv50I89hUSKva6gxLxf8Ok9IL28PHUOlDxDEXy9qEcEvZlq_7v3PxA-F6BtvJ9J8jvK1Zk9adQyvMKNb7wetYM9_tj_PIkevrsQZgm9GWJLPSUi_LyuRME6Cp1XPFwNPzw6lnK9LKdzPUiWwrwbKps9WJ1GPd9ML7uw4tS9dTbJPTyOVTzNYTI9ZVFYPPtOXbxLD5k9IRisvD-IJrtWZkU9DKhcPVtQ6bwxLUW9JGC2O_SwhjyPGN098_uDPQ4mj7z3Bjo8AEJ6Pa4kIDyDFP475xiAPWpcbryYWxA9uXnZPOnxADqAM6c86FjUPJLBPDvnhT-7YYGpvesIFrxh3qM8hjzivVlJcbtUZB49WFUAOu96RLxBlIk9bSUvvTtI_Drw5L4990g5vZlSjbwW-Oo971-PPDPa7DqQ2Vm9sCNpvDWlCLy_a6e7OsO5PNY1f7zLmOe8Wg25PeyMiDuQM0g9yNZOvWGcprq4j3w9PByTvLhLMLuArFE9i1YJvfpm9rrII6093hHfPAhVTbtFQws9_MmzvIezcLs6IRO8ZCrzPNnIebvu7yc9kSiTuzYe_7kdXUA9OU5Au8w2yLnWDWq9Ar9hPfMoe7iD4Vc9htyxvEyyFLkL64u9fXRguvbzsLmqAXQ99XtnvRER5bmH5P887rv9PPKdpzkS9UK9IhjnvXga6jf6chA9hgiTPOqUmriEhhk9kSGsvGGPwLidm5u83m5uPA-9CLgD3Si8ZLL4vKIxEDm7j6u6tQW6PGP4BTmrJog9z7eavfufhzlGLtO89gESPWgL8Tibzuk81vJUPVTLHrhywmQ93_8CPWwNDDg5tJg9po-Kvcwd2je0WmA9RBgfvXSSbTgdG-a8-PHhO9tGorcCigc8nzmgvbMRnbeKy1E9OCYwPK9PqTja2Ha9GllIPbisNDitp_Y9s-qYvHs7Orlm2I29jnx7OxKPnzdyNAk7cI60vTjSjbaXUZG9h3IdPVM4i7Ykox692UeSvbDgNLjK9HA9IuErPvHLijjtlkY6deikPQpu47hQbwi8SqiaPSMmCra85ji7z1aUPbzJqLcgADgTQAlIbVABKnMQABpg5vYAEQwyFO8aOd3X7cD9z_sRqAXfA__i5P8ZD5-qDgnXzdoF_xG2x-GiAAAAFey0DyUAAH-y1d9WIBL447ToIyBk-BcpuMvo8aAU-S2r_AQx5AVFANLYlkAR-N8_CxcZIAAt1ikSOzgTQAlIb1ACKo8CEAAagAIAABG_AABEvgAATD4AAIg9AAD4vQAAET8AAKi9AABBvwAA5r4AAKC8AADoPQAAfL4AAFQ-AABAvAAAyL0AAFS-AACaPgAAMD0AAJo-AAAvPwAAfz8AAHA9AABcPgAA2r4AAN6-AAAUvgAATD4AAFS-AACuvgAAPD4AAMo-AACCvgAA4LwAABc_AAAwvQAA4DwAAIg9AABwvQAAhr4AAES-AAAMvgAANL4AAHA9AAD4PQAAkr4AADy-AABsPgAAur4AAJi9AADOvgAAyL0AADC9AAAsPgAAbD4AACw-AAAQvQAAVT8AAEQ-AABwPQAAHD4AACy-AAAMvgAAoDwAACy-IAA4E0AJSHxQASqPAhABGoACAAAUvgAAqD0AAKq-AAAPvwAAvr4AAJg9AAC-PgAAFL4AADC9AAD-PgAAuL0AADC9AABQvQAAmL0AAJi9AACAuwAAuL0AABc_AACSvgAA0j4AAEQ-AADYvQAARL4AAEC8AADgvAAAND4AACS-AAD4PQAA6L0AAOC8AABAvAAAoLwAAIA7AACavgAAqD0AAKg9AACiPgAAqD0AACS-AAAUvgAAkj4AAFA9AADYPQAA6L0AABQ-AACgPAAAf78AAEC8AAAkvgAALL4AADw-AABwPQAAmD0AAMg9AACYPQAAuD0AAJi9AABQPQAAgDsAAAQ-AADYPQAADD4AAJg9AACoPSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=LAKzXSikvSw","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13047587433181487358"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16330893593645044148":{"videoId":"16330893593645044148","docid":"34-11-14-Z93884DB22E1718D5","description":"1. Properties Of Group 2. Proof Of Properties Of Group 3. Uniqueness of identity & Inverse Of Group 4. Reversal Law of inverse 5.Cancellation laws Proof 6. Alternate definition of a Group.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3472937/ba199c50ccf9b48299b0ef56f1964169/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/_nOJOgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9IVYVtAuuQs","linkTemplate":"/video/preview/16330893593645044148?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory | Properties Of Groups | Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9IVYVtAuuQs\",\"src\":\"serp\",\"rvb\":\"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_E70MggQkAYAEKyqLARABGniBAQACBv8CAPz5BgcCB_wCBAAAAvj__gAACvn1-AT-APXwCfz-AAAA-g_9_vsAAAD2_vsI9P8BAAwBCQ8EAAAAHv3z-vwAAAAOGPsC_gEAAPX-AwQDAAAACQUEAQAAAAD7BAT9AAAAAPoSCg0AAAAABwYKAwAAAAAgAC1etdg7OBNACUhOUAIqhAIQABrwAV8L7v_d7un_5-jqANMc-QCBFfD__gznAKsgGAK5ENT_9_36APLi2v8K5BT_1xwQAC4J4P8X6P4AGuf__xQc-gAS9gABQecLAUj94f_0D-r_5f0Q_w_jGAD-0eQACfjMAAj1D_v6AdL_8_P3BAj9DgUn8g4BJPweAArm-gHwJgb-6fjf_v7r_P_-3RMAyxsUA_8HCwLsCvP52vb3Av4B8AMJ5Pv7Fwnz-vUM7fve9uUF5xv__AL04vwSGxz_-gn8-wT8EPvr3Pf5ESwFAhX1DAYB_gH_8N3nByPp_vvz9Ar18Qz7--wU9ATeJhT9BAv4AiAALVH0NTs4E0AJSGFQAirPBxAAGsAHBwfbvnkDjDzKZzE6oBRyvdu6AD3z7v6846C5vRxtizxeBSO80WDuPFcSLz0-FHu9nE2Xvuo9XLlkjxa8nUaCPn8WS7y-Esi8huMJvt8g9TysASq9T3iRvmcVTD2p5ou6wF9MPvKl5jzXtAC5oDTEPabVUL0R_9Y5MbksvLSXKL2imSe8G0YBvmItjr1G6yg7bjC5PNkFSL1qocc7aRkZPr1fO71lF-87cPGLvOzYjLpDIsg5-v-CvLr3UL1xd7G756tUPvBdlDxsyQ08sd4IPQ4bQLt4p6-7pNg2vaB2zzsDigK9aAimuucwhDxAJqO8D3avPYoDJrtGUSK6P28qvVFOdD0RSDK73bQZPj0W0TwDYPq7GD5ivXa3fD0W3ys8avCIvfjfSj1PvDk834iuPQSJEjxOGCC8lsUOPYGZmj3_x0-7qh5GuoCBgD1U02Q8_R92PSL4RD3L8nW8oJuHPQj4fzxrvoi7VY-6vb45NzwXmSW8O3TFPQcBHr2uFBu8_cWnPXMtmrwUXn67cArrPEXvub32R-W5x4NtvVcQjr2dt1a8cw8pPWwww7y2zom7Kr6rPA0CBj0PF-87KHbZvFcIq700iIu7YbbuPGTa7bwKgse7QzSfvAoDAD0JFSC7v2unuzrDuTzWNX-8RYCTPE8wLT1t7bM7eE3-vIAF-ry0xw-7ow3GPZavyzpgbr07izHVPNdDJb2o44K6euSqPSNfrrxvSIK5ZlalPPbRab21bE47kwjDPPRpGj2MOV87zBI4PU95dLyWpB06CvcKPc8GKj32rb05C4nJuxW1Cj33Tcw5tfSNPHCY6LxroOI3avYju--dp71iSNy47i2bvCNIqbuRwPY6FK0BPQTAnTwq8KO4EvVCvSIY5714Guo3rL4EvVKfHz1Jkbw5k6kCPlx1fLvDyBA5WZgvvW4fDb0vOF65b0xqvTc5Nz2J5SO5S1aqPEO5Iz208h05_FbLPQgXPL0D7gM57YMsPN5kqj1e6b246w8evPpj9TwOMja35lViPVOSVT0ALio4mgcQPd44yb0INPs2_NKRPMOOcD1y2Dg4a_HpvXnWJLzuL2A2mlazu53DC73d6L43oM5rPc0muLuuq703Pw-PvceMJrwU4qS3mUrfPYBz0DxUuL64cPSsvYmYEjwFIBs4nqagPKSp3ryd9yE3B62cvcaEKjqPU7Y3oW9BuwuLkL1ihgm4yvRwPSLhKz7xy4o4YJqYPFua-z2Erf24TJ4cvRbKurok3si3vXbEvCYuET2D2yU4IAA4E0AJSG1QASpzEAAaYOoBAO8EOfn2Izv4yta76wr6A64Lx-7_8-v_6Snc2xoCv9X2-P8bp_jTogAAADPz5AAOAN1_1sfNKOALB9Cg_ygobukkFZPtEPvU_RsyxhvwGcD5NgDqxJFDHBnYO-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-MEgADgTQAlIdVABKo8CEAAagAIAANq-AACSvgAAqD0AAIC7AAAwvQAAyj4AAOC8AABNvwAAgr4AAHC9AACCPgAA4LwAAOg9AADYPQAABL4AAMi9AADGPgAAqD0AABw-AADSPgAAfz8AAOA8AAC6PgAAdL4AAKa-AACYvQAAQDwAAJa-AABMvgAAJD4AANY-AAAcvgAAFL4AACw-AADgvAAARD4AAJg9AABQvQAAlr4AAJ6-AAAwvQAAqr4AAPg9AAAEPgAAwr4AADS-AABcPgAAkr4AABS-AACyvgAA2L0AABS-AAA0PgAAyD0AALg9AABAvAAAVz8AAMg9AABAPAAABD4AABC9AAAkvgAAUD0AADC9IAA4E0AJSHxQASqPAhABGoACAAAUvgAAcL0AAIK-AAANvwAAVL4AAEA8AAC2PgAAJL4AABC9AACSPgAA4LwAACS-AAAwPQAATL4AAOA8AACAuwAAqD0AAAM_AAC4vQAA8j4AAGQ-AAAcPgAAFL4AAEA8AAC4PQAAqD0AAOA8AADoPQAANL4AAKA8AACIPQAAUD0AAIA7AABsvgAAUD0AAKi9AACGPgAAJD4AAKK-AACoPQAAVD4AAJg9AAA8PgAAUL0AABw-AACIvQAAf78AAKC8AAB8vgAAyL0AAKg9AAAwPQAAUD0AAKC8AAAcPgAAuD0AAFC9AAAMPgAAmL0AAIg9AACIPQAAND4AAMg9AAC4PSAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=9IVYVtAuuQs","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16330893593645044148"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16014870090373979157":{"videoId":"16014870090373979157","docid":"34-3-15-ZA284C28DE1C1C68A","description":"In this video, we dive deep into the fascinating world of Abelian groups, a special class of groups with unique properties. Abelian groups, also known as commutative groups, play a pivotal role...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/223529/7699e681f0e94d126ee5d1144577c067/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/anfSOgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7ELdR0YBlbI","linkTemplate":"/video/preview/16014870090373979157?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Abelian Group in Discrete Mathematics | Group Theory","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7ELdR0YBlbI\",\"src\":\"serp\",\"rvb\":\"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_E8MEggQkAYAEKyqLARABGniBAQP9AvsFAAMABQYBCPwC-gP_Afn9_QD6Bv_1AgT-APTu__UB_wAA9wT5AvkAAADt_fsM9wEAAAwG9gMDAAAAFwP9Cv8AAAAFEwD7_gEAAPgB_QED_wAAAAT7_gAAAAD3Agb2__8AAPwZAwQAAAAACP4EBgAAAAAgAC13W-M7OBNACUhOUAIqhAIQABrwAX8hDALq1gsBzvfZAOAeCgKHIAr-GyPjAMoQIAG_980A-CXyAdHq9wAV8Q8BzxP1ACEM5v8g5xD_HeT__zsL_gDnEO0AJ8H2AUcUDwHl-egA1xYB_v3oAgASx-4APgXpAef3APzz_OX7Ce3ACCIJBgMc_hwFI-8AAf_iCfvjAgoB5-LvADQP9AHz8gb4xR4WAxHe7_3jEhb95wTzAQLq6QYG8vz5Ghnk_gju6gf5FPf_4gYK9gX28Pv7HRH52fX7BBH2HfT45fYCBg7_CAve_woB_QH_99L1-Sf8-gEM9gkA4u769-USCPXsAfz9AwfsESAALXZIJDs4E0AJSGFQAirPBxAAGsAHpyC_vi2TxjwpECy9-g3TvZB4wzxscAe9KuAevgPuWT1zVY-87rK_PbewUz1WNVe99pZivgV4gTx5Pw28_b10PpJUS70Dsew8dXT8vS8Tmj0LAhC9p1mAvuLS4jgHmi-9CWsjPqwpHz2jecA8b8ACPTjRU70KCaK8s652ves98LwggC-9G0YBvmItjr1G6yg7TZ-hO8q4c70YjhE96-CwPX94jLx8FU-8PAThOpicQTvo4SG7cv4BvfQSiDz2Ali89z8QPhegbbyfSfI7Cvg1vMj20Dxlnbu8EXaVvQ8JX7ykJFq8D3uGPey5kT05oSu9vJsiPcADqL3DP7I7seFJvi6S9jxPCJ085Ib_PTl29TyMb548A3NZvQ3mmj0vYy-8QCt2u6lj-rzZegQ8YuCUPNFBEr3YsoC7_KsXPmNsFz1UC1s8CWTAPM9ZdT2FY7E8IkQDPUWAU7xE3928ZZ5mvct8DzxUZpS8c-lJvQNtPDtROzK8aVfMPaYTJD1tKws8P7z4PHlFizwOs2E8zaR3PYdksr1tCGm8bamjvdnFPr3Hi7-7YBV5PY480DxBryo7WYfDPQrPVb30glM7MXZHvTq-jL2wfTe80eVyPbqCcTs2Uh27pxaLvcVvLzw6rzE8_H8mvQBKbT2Slue7cwdbPQNTxz1yDME5NP4TvTjiRL1LvgY7YYIEPfql9Dwg-6y7z35JPN1cXD2CV8Y5gVv3PQhLlr34X-44dTrwvZn_hr1UuEI6NLURPYXHiLxyH7G6ygiePGs-OL0kiWk5nNuUPQKE6rxPuZ241g1qvQK_YT3zKHu4HaKbPHm5ALv73Qo5kvNUvSc2ir2fqgm5vFMGvXYceDrLxPY50aUpPa9xZz1EXsW6SgsXvgrcmr2pquG2NZUqvdvitby6Qg-5gxPRPSHz9bswSxA4Il84PfNl2DwhgiK5ZraVvRpWTD03TYY5BaR9PJqEgT2wtak4QfEDPXFPwb3XOHs5dD6hPIV_nD2MlkS5I72IvdhZPj3sirA49n-OPAAu0jy_89e4lO3LO6_6Er1POA84Af4EPWZfA7xW1E84yXl6veKBFjxZzWU4J6YmPWnynrxkPFU4t8Q7PT_ekLxR34U48DYvvdJF1Dw75z84kl0ZPtlPUL2swj-5jHEUvdt7Qr3F_Ge41TuBPO89h73Nk783IA3nvBUqDj0eLr42U2VOPHtclb1edby3yvRwPSLhKz7xy4o4YJqYPFua-z2Erf24NWxKvWXflT2R1IM30RCUvegYS71GaAa4IAA4E0AJSG1QASpzEAAaYP77ADLyNOPLNybc0t_S7g367MIavv7_0OT_AiLd3REi0c4YCf8pwP7apAAAACPe7fgkAPZ_tsvNPQTZBOu3_i4ccc4-J5AMFg_cFhD10xgmIun5PADkBpwwLvTETd4SJSAALWPsGTs4E0AJSG9QAiqvBhAMGqAGAAAYQgAAgD8AALJCAADAwAAAREIAABDCAAAQQQAAKMIAACDBAAAYQgAAAMAAAAAAAACswgAAVMIAABBBAABAwQAAIMIAAMhBAABIQgAACMIAAHBCAACgwAAAGMIAAKBBAADGQgAAEMIAANDBAAAAwAAAGEIAABBCAAAowgAAsEEAAIA_AADQQQAA8MEAAChCAAAQwgAA2EEAAKDBAABwwQAAlEIAAIC_AAAgwQAAAAAAAOBAAABcwgAAmMIAAKjBAACIQgAA4MEAADBBAAAMwgAAYMEAAOBBAACAQQAAGEIAABzCAAAcQgAA4MEAALJCAAB0QgAAQMEAAGDBAAAAwgAAwMAAAHxCAABUQgAAQMAAACzCAACYQQAALEIAALDBAABcwgAAcEIAAAhCAACawgAAPEIAAGDBAACAvwAAQEEAAAzCAACQwQAANEIAAFhCAADAwAAAqMEAAATCAADIQQAAEEIAAHjCAABAwQAAUEEAAPjBAADGwgAASMIAAIDCAAAYQgAAAEIAAERCAACYwQAAwEEAAExCAACCQgAAysIAAKDCAACAPwAAEEEAAOBAAACAPwAAMMEAACBBAAA4wgAAAAAAAJjBAAC-QgAACEIAAGBBAAAQwQAAOMIAAKjBAAA0wgAAgMEAAOBAAACQwgAAOEIAALxCAADAwQAAEMIAAKDBAACWwgAAkEEAAJjBAADwQQAAtEIAACDBAAAAQQAAWEIAAKBAAABAwAAAJMIAAKDAAACAvwAAiEEAAPjBAACAwAAAIEEAAADBAAAQwQAAIEEAAIBAAADYQQAAqMEAAMBAAAAQQQAASEIAAKhBAABgQQAA1MIAAKBAAADGQgAAsMEAACBBAAAwQQAA2MEAALDBAAAQwgAAMEIAAIBAAAAQQgAAQEEAAHTCAACgQQAAPMIAAIBAAAAwQQAAgEAAAGTCAADQwQAALEIAAGRCAAD4QQAAoMAAAGDBAACwwQAAPEIAAEjCAAAQwgAAokIAAAzCAABQQQAAQMEAANhBAAB8QgAAcEEAABBBAABgQQAAgMIAAIDBAAC6wgAAEMIgADgTQAlIdVABKo8CEAAagAIAAAG_AAAUvgAAJD4AACw-AABQvQAAfD4AABA9AABFvwAAir4AAMi9AACAOwAA6D0AAJI-AACgPAAABL4AAOC8AABkPgAAFD4AAIY-AAAZPwAAfz8AANi9AADqPgAAlr4AAJK-AABwPQAAFD4AACS-AACCvgAADD4AAOI-AAB0vgAAgDsAAIY-AAAUvgAAij4AALi9AAAsvgAAvr4AAKK-AADYPQAAXL4AADQ-AAAwPQAAir4AAEy-AACSPgAA-r4AAMi9AACivgAA-L0AADC9AAA8PgAAoDwAADQ-AACgPAAART8AAGw-AACIvQAAFD4AADA9AAAMvgAAoDwAADS-IAA4E0AJSHxQASqPAhABGoACAAAsvgAAQDwAAEy-AAAnvwAARL4AABQ-AADKPgAALL4AAIi9AADqPgAAgLsAABC9AACAuwAAHL4AAKC8AACAOwAAgLsAAB0_AAAcvgAA6j4AAKg9AACIPQAAJL4AADC9AAAQPQAAFD4AAFC9AAAEPgAAJL4AADC9AABAvAAAgDsAADA9AADCvgAAcD0AAKC8AABkPgAAMD0AAHy-AABQvQAA2D0AAEC8AACoPQAAiL0AAOg9AABwvQAAf78AAOC8AADovQAAoLwAAAw-AAAQPQAAgDsAAEA8AAD4PQAAMD0AADC9AABAPAAAqD0AAIg9AAAUPgAA-D0AADQ-AAAMPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=7ELdR0YBlbI","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16014870090373979157"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8924300403293193195":{"videoId":"8924300403293193195","docid":"34-4-3-Z18BD29CAEC83ED96","description":"Explore the core concepts of Discrete Mathematics Group Theory in this focused session of our GATE 2025 crash course, designed for CS & IT students! This lecture simplifies abstract algebra...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4607713/d715002722c90382f18dc9118827dca2/564x318_1"},"target":"_self","position":"5","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLc_c0-ZOywQ","linkTemplate":"/video/preview/8924300403293193195?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics 04 | Group Theory | CS & IT | GATE 2025 Crash Course","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Lc_c0-ZOywQ\",\"src\":\"serp\",\"rvb\":\"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_AgDs_gUCBwH_AAQAAAL4__4A9QX1_fUC_wD16f4C-gAAAAj-8QgCAAAA6_37DPcBAADwEQYD7AD_ABEA8vb9AAAAEBH6-f4BAAD2BAL4AgAAAAoF_fwAAAAA-An_CPwAAAAGDQsKAAAAABMB-QAAAAAAIAAtVsrWOzgTQAlITlACKnMQABpg5g4AJh0h8tYdJfDf5tAWGPUAt9oG3P_kBf8aHNPR3-j-vOIX_wypCeSuAAAABQHdJ_UA72jz1cA49iABruv2Hz1_3SPXxuLc8fE8C87kJAgVFAMNANT61TMZDBdD_fYNIAAtcA8wOzgTQAlIb1ACKq8GEAwaoAYAAOBAAAAgQQAAnEIAAIDCAAAcQgAAuMEAAIDBAAD4wQAAUMIAAIDBAAAUQgAAwEAAAGzCAACEwgAAsEEAAJDBAACwwQAAcMEAABhCAADgwgAAcEIAAPjBAACYwQAAmEEAAIBCAABIwgAAPMIAAEjCAADgwAAAHEIAAILCAACMQgAA8MEAAEBCAABgQQAAcEEAAILCAACqQgAAAMAAACDCAABwQQAA4MAAAEBBAADQQQAA-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-_AACovQAAHL4AAHw-AAD4PQAADD4AALI-AAAwvQAAor4AAKo-AABAPAAAiD0AABM_AAB_PwAAcL0AALo-AAB0PgAAhr4AAHC9AAC6PgAAiL0AABQ-AACyPgAAoj4AAMi9AAAkvgAA1j4AAGw-AABkPgAAoDwAABC9AADevgAAlr4AAGS-AAAcvgAABD4AAEA8AAB0vgAAHD4AANo-AACCvgAAPL4AACe_AABAvAAAQLwAAOA8AABUPgAA4DwAADC9AABnPwAATD4AAHC9AADqPgAAZD4AAOi9AAAEPgAAoDwgADgTQAlIfFABKo8CEAEagAIAAIq-AAA0vgAAgr4AAEO_AADgPAAAfD4AAGw-AABAvAAAZL4AAJI-AACyPgAA2D0AANg9AABsvgAABD4AAIC7AAAEvgAAZT8AAIA7AADWPgAA-D0AAOi9AABMPgAAyL0AAHA9AAAQPQAAcL0AAII-AAAEvgAAhr4AAMg9AABEvgAAqD0AAHC9AAATPwAAqr4AAIi9AACgvAAAur4AABQ-AACKPgAAhr4AAAQ-AAAMvgAABL4AANi9AAB_vwAAgLsAAAy-AAAcvgAAyL0AAIg9AADIvQAALD4AAAw-AABwPQAAuL0AAGQ-AACGPgAADL4AAFA9AADIPQAADD4AABQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Lc_c0-ZOywQ","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8924300403293193195"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"1800556989246017156":{"videoId":"1800556989246017156","docid":"34-5-2-ZDF0E7D05EA0F9104","description":"In this video, we embark on a journey to explore the fascinating concept of semigroups, a fundamental structure within group theory and discrete mathematics. It consists of a set together with an...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4078528/a9cffc095e05942d557e3b86725f7317/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2nTqNwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuHYfUnlGGCo","linkTemplate":"/video/preview/1800556989246017156?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Semigroup in Discrete Mathematics | Group Theory","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uHYfUnlGGCo\",\"src\":\"serp\",\"rvb\":\"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-Qj8BQAD-g0NBQr6AvoD_wH5_f0AAAn69fgE_gD49gQACwAAAPwF9fwAAAAA-P0GA_z_AAANAwH-BAAAABgC_QD4AAAADRf7Av4BAAD5-f4GA_8AAAcCBfj_AAAA8QQE_P7_AAD8GQMEAAAAAAj-BAYAAAAAIAAtotThOzgTQAlITlACKoQCEAAa8AF_-SgB6eXjArLp7ADcMv0Aoy8l__w10QDa8_X_0w64AfQeCQDc8QQBKugX_9cQ5gAU17IC-c4CACO-9v8hBOkB6vr8ARPFAwAuADABGQTz_98jLv3x1AX-_cXdADQQ6v4G6voCEPjz_Pbz2gYnCgYD-xsn_yjtAAHh2xT85_b0AvG21gAPH-gC-7YN_OsWPAELyesFLA4lAeD0Af7k7Oj7K9oJ9_o95Pr04-_-Bwb0CdP97P8Z7eoIICv1Ae_53wry9icC3NgAAPvqBgX-8QL34QD3BfrSAwUu9Qr6BQATCPT66v_R8wkJDfz0AfgM9vEgAC3nWA87OBNACUhhUAIqzwcQABrAB9-lrL78kxM9GX6mvKoLnb3Lgb87wP6QvCrgHr4D7lk9c1WPvD7Q6j2ZzvM8nYdRu3alNb59Clu8itKYO8uAMz7m0Yi9mGIzPHV0_L0vE5o9CwIQveC7bb5eipY9FrlMvAlrIz6sKR89o3nAPFMkHTwbDUC9veinu7KCX730CKS8eXyWvDlswb2kxdm9OmMOPE2foTvKuHO9GI4RPSAHuj2CkTe9iLKcvBasJzxxtak8-8Qmu3L-Ab30Eog89gJYvA25sz2Tf3w9XENfvIkDLb0HQGG9npb-uwZifr0dpVy8BOa-OhEWW7tXXHw94yQjvWkz8zweb_K91yXTOmO0Hr42Fnu7f2BYPLlmtz1zE7A9vxuBPNzvhb3dCfY9yJ3runx7l7zuaii9ey5TvJ2fIjxn0ka9FmWbPBam7z30sYE9NyFQuWNgPT0PLsg9ffnuPHXWnTx_ufs8KEmyvDhAm7slRpo9toPPutsBEr0olgC96kQbuuMz2T1ZZoY93LkwPJuoijy6JNi8EeZRPHAK6zxF77m99kflua55er3APAm9-b44O6FmmD0u7S88fkbYO1mHwz0Kz1W99IJTO5OuFL0oni69EGLfu2wmXz3r4MU8MdoPOlACpr16H0I9BMFKuzSRiL30pmI9fmbau-nsyTxMGM09X-iauValSL3EGhm8YKDWO6CRBDwTLr-8u8A8u1EhKrt3kE09Jhkcu4Fb9z0IS5a9-F_uOC_wtr2CR4q9YChHuN8d17q-W2-9kp2OOtU3dT0rFo-97rDLOZMHqD2pL0u9fcuxN6w84b1pQ1Q9lVuyOCKI8zy1nqu8ssYUOfyzVb13PbK9hRswuJ32NL10rYO66oh_udB03TvsI7Y9FVQhuBTn6L1zySK9It5DuYbuCL01bgC9-SukuBaNsD2bkoe8nnyZOMGMCT0sLPo736FXOnAOor1-L489qYJQOad_RD280r09Jyr7Nlqvgz0Bj8O9ptFaOQdcjD2rgSE9-8enOJzbhL2-2Ks9J182OPqBtj0b-iI9BuJ9N7qvWT0qkYS8KtT4N-W2vTzsJVe7SJ1uOOPnGr2_lvw8OTL5ODdbLz0yaDK9vA4AOEuPuz1CPgi9PGN8OEd0z73UV-E8HdaUtvcBKD5wYd298We_uaqex716nY69kk3VNzxx1LzJnQi98RuAt7uIpTzOyDs9RRyFt1k8Sz0QuS89ARWpuMr0cD0i4Ss-8cuKOIfVST1AL_w9t6oHuTV6Fb0rYTc8LrIPNwET2L2TRou9nA-tuCAAOBNACUhtUAEqcxAAGmDk_QAiA0Hb6D0czsvj1vAG6xOq9qb6_8Dv_xNQyOwoC-_ZHgL_Kr8jyp0AAAAU_dwHKADOf93mwEgYJwDSt-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_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_AACAOwAAcb8AAKq-AAAwvQAAQDwAABC9AACYPQAAPD4AAES-AADYvQAAZD4AAOg9AABkPgAAKT8AAH8_AAAUvgAAyj4AADy-AACWvgAAML0AADw-AACYvQAAfL4AAIi9AADWPgAAbL4AADC9AACePgAA-L0AAFQ-AACYPQAAdL4AAMK-AAB8vgAAcL0AAIa-AAAMPgAAQDwAABy-AACavgAAdD4AAL6-AACAOwAAA78AANi9AACAuwAAND4AACQ-AAD4PQAAQDwAAHU_AABsPgAA6D0AALg9AACAOwAAgDsAAOg9AACIPSAAOBNACUh8UAEqjwIQARqAAgAAuL0AAKC8AACCvgAAH78AABy-AADYPQAAnj4AACy-AABQvQAAxj4AAKg9AABAvAAAMD0AAOi9AABAPAAAoLwAAKA8AAAbPwAATL4AAPI-AABAvAAA4DwAAOi9AADYvQAAUD0AALg9AAAQPQAAmD0AAPi9AAAwPQAAUD0AABA9AAAEvgAAdL4AAIg9AADgvAAAmD0AAHw-AACCvgAA6L0AADw-AABAvAAAqD0AAHC9AAAwPQAAUL0AAH-_AADgvAAA6L0AAIi9AADYPQAAiD0AAOA8AACgPAAAuD0AADA9AADgvAAAuD0AAIC7AAAQPQAABD4AANg9AAAkPgAAQDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=uHYfUnlGGCo","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1800556989246017156"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10938975009855427185":{"videoId":"10938975009855427185","docid":"34-5-15-Z62CD1C925FC4A9E1","description":"This video is about the introduction of group theory and algebraic structure. Algebraic structure, semigroup, monoid, group and abelian groups introduction. The videos in this list explain...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3744479/787e964f62838bae02b0846efbc328c1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/V6av2gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DUATnzcV-gnU","linkTemplate":"/video/preview/10938975009855427185?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete mathematics | Group Theory | Algebraic Structure with example","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=UATnzcV-gnU\",\"src\":\"serp\",\"rvb\":\"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_E_ABggQkAYAEKyqLARABGniB-wr-CQL9AAMLCw4DC_oCAfv1_Pf9_QD6B__zAgT-APXvCvz-AAAA-gv7AwIAAAD28v0K9_8BAAQE9wgEAAAAIQ38-PsAAAAcEv8A_gEAAO4BBv8DAAAADgkBBQAAAAD8Bvj8-f4AAQEZAfUAAAAADwYCAwAAAAAgAC3gdcw7OBNACUhOUAIqhAIQABrwAX_z5_6mBc795QvrANMO5wGL-g__GEv5ANUG9wG7A-EAD-7SAK761P0Q6fwBuRkIADAC7wAQ2AUAPMfl_0LfGgDrC_sAG97cAD0TLv_wBNn_5RcG_u4H4QP22tH_CAvQ_vP6KfwQ-fP9wfnMAQofNQPk-S0EF_QiAuLcFPzfEf_7BMXp-_MV-gf96y376xY7ASnmAwIPBQj09izyBAj_9fv-7wb1DhPQAAz1-w0J7gPuvuoV_QX1BwML9QwC1A39BvL3JgLjB_z48BYJ7xv19wH1AOoD59wFEQkIAw4QyfnxGQL4AvgM7vjo8Ab92gzy_yAALXRxEjs4E0AJSGFQAirPBxAAGsAHbcjfvnP31Dz-AaA8v41-PR6uED00MM28-DM8vIdLMz3EwZS7zNJOPejoJzyT5X-89pZivgV4gTx5Pw28xVWFPlQwb72bfyq8hzQqvp5pqD22cmW8oMUSvhQiAL3_Rau8jKgEvWTUrbuLkJU8vrh5O1csFL1D2Pq8JLoivQkMg71L6iS9PvKdvRmAHD3YW--825lTPZILmb286-y77a-IPYPuHL0u2mu7zvYNPXOL1Lzf0bG71jEzvY1S-Dw0P8i8mj-GPenVQD2E2d-7dzeqPJYWj73HQa48bAeDvc0W2jyWMIm8D3uGPey5kT05oSu95XrAPSkV4DvDCfG8bazkvaYRLj2UTsE7uWa3PXMTsD2_G4E8HT3evb7ADD67CAu6WLs3PNSk7zwgaq25HzxkPT7jRz3QAdE7LHqMvHZlYTzJLyy7chP3uyy5ijxzMsw8FoTSPUV2j70nZyi8RdTpPKjR2rycYKy7fJ10vTbCDD2ifdc5NEfWPfQ2NryhZz26FryJO6muMrzuWHC7RVylPHO49r3kBDc8x4NtvVcQjr2dt1a8ew2WPWS-bT3Lq8a6Wz6XPfikw72o1Dq71skZPXV7RL3ey9y7rXIcvVFjyjuOmcA6c9nIvWIzez0J7cm7ByM2vbwcmzujyjC8xJJ2O99vpD1cQMM6vH1RPRhBM76xnJG5m36_PRR3_Dz0iCs6ULyvPMDNAj3tjEa7XrOBPP5G-bv8XMg6jUEKPEB1ILxEaCk7MZeEvaiJI73jxKY4bQPXPbWj2L0Mn685EGd0Pd1ZsD18pr852G2GO73VhLyW2He4FdeCPYlNWr0565M4y6LwvFtCHr43BeM5K1V9Pe1cnDuoEvm3QIUjPRrwQ7zJoLI5E6SNvUWXuzswtGQ56MDSPTPg7DwTCVq41aQFPTK5B71j0Zk4SFl6vSQmKLz1Fw65SKcOPVYYMb00ehS3D3davS1G-DxcHBY4x9M3vRsCsb3swnM5efmpu6clxj3Erv-4lnZqPE9HVj1NzD64W8gMvIuvgT03bjq5EtG3uwz9iL1QZfo3kJkwvK3mDz3HJhY4bcX-vaLUPr0aL_S42kJGPPj6Wr0o4xm4t2niPJpOobzhPbC4YA2GPOUZKDuXIR04weMrPtylaLwHiXS5ClwIveLDkb08pVi4Hip4OyUE670jv2c4axOCvO2KDz1X0t23HZcMPUkPQ75UMU25yvRwPSLhKz7xy4o4A_yUvX-ojz2F5F65tAH4vbVYRT1R4Fw4ijMQPQGASL0QNBK2IAA4E0AJSG1QASpzEAAaYPzwACwgMPXnJUfNx9bJAOvtGs__uv7_1cj_BiDa6wwH5NLqDf8RsizopwAAADkG4gEuAPh9yL_kRAzrFrbPyh8yf-EoDa0YAfOgFxUVyhT_LfX_VQDs3K82IfTONeklGSAALRHFGDs4E0AJSG9QAiqvBhAMGqAGAAAAwQAAsMEAAGhCAADYwQAAAEAAAFBBAADoQQAA2MEAABBBAABAQAAAAEIAAMDCAAC6wgAAAMEAAFDBAACUwgAAyEEAAPjBAAAQwQAA0MEAAADAAAAowgAA6MEAADhCAADoQQAA2EEAAAjCAACcwgAAgEEAAPBBAAD4QQAADEIAAGzCAAB4wgAASMIAAABAAABgwQAA_kIAAABBAABwQgAAgL8AANBBAAA8QgAAVEIAADTCAACuwgAAeMIAAADBAAC2QgAAskIAAFTCAACQQQAAgD8AACDBAAA0QgAAMEEAADzCAABwwQAAmMEAAAxCAACgwAAA2EEAAEDCAAB8wgAAwMAAAAjCAACYwQAAwMEAAKBAAACowQAAjkIAAJ5CAAC4wQAAmEEAAMBAAAD-wgAAgsIAAEDCAAD4QQAAiMEAAIjBAACMQgAANMIAALBBAABYQgAAyMEAAFBCAAB4QgAAKEIAAHjCAADwQQAAbEIAAPDBAAB4wgAA6EEAANjBAACgQAAASEIAAEhCAAAQwQAAVMIAALBBAACoQgAAWMIAAIzCAADQQQAACMIAAIBBAABwQQAA-EEAAGBBAACIQQAAcMEAAEDAAACIwQAAEEIAAABCAABcwgAA-MEAAGDBAABAQQAAEMIAADTCAACwwgAAuEEAALBBAACQwQAAFMIAAOjBAAAwwQAAUEEAALBBAAD4wQAAVEIAAIjBAAAgQQAAwMEAAOBAAACAwQAAKMIAAAAAAABMwgAAYEEAAIjBAADQQQAA-MEAADDCAAAAQAAACEIAAABAAADYwQAAsEEAACDBAAAQQQAAYMEAADDBAAAAQAAAgMEAAADAAAC4QQAAKMIAAMhBAAC4wQAAUMIAAAhCAAAgQQAAjkIAAJRCAABAwAAAgD8AAPhBAAAEQgAAQEAAAOhBAADgQAAAuEEAAABAAACIwQAAdEIAANhBAACAwQAAAEEAAEDCAACMQgAAokIAAABAAADgwQAAwMEAAGDBAAAMwgAApsIAAFTCAAAwQQAAcMEAAABBAAD4wQAAwMEAALhBAAAgwQAAiMEgADgTQAlIdVABKo8CEAAagAIAAOK-AAAQvQAATD4AAHw-AACYvQAACT8AADA9AABbvwAA7r4AALi9AACYPQAAZL4AADw-AADYPQAAZL4AAES-AADCPgAAED0AAKI-AAAnPwAAfz8AAKC8AACqPgAAXL4AAES-AABQvQAALD4AABS-AABsvgAATD4AAMo-AACmvgAADL4AAAU_AACAuwAAHD4AAKC8AACKvgAAgr4AAGS-AAA0vgAAiD0AAEQ-AAAwPQAAgr4AADy-AAAcPgAA3r4AAGS-AADKvgAAFL4AAOC8AADYPQAAFD4AAGw-AADYvQAARz8AACQ-AADYvQAAHD4AAOi9AACIPQAAED0AAIi9IAA4E0AJSHxQASqPAhABGoACAAAMvgAAgLsAAEy-AAAfvwAAfL4AANg9AACqPgAAiL0AAKi9AACaPgAAUL0AAAS-AAAQPQAAuL0AAHA9AABwvQAA4LwAABM_AAA8vgAA3j4AACw-AABwvQAAqL0AANi9AACIPQAAoLwAAIi9AADYPQAA2L0AAIA7AABAPAAA4DwAADC9AACavgAAFD4AADC9AABcPgAAbD4AAFy-AACgPAAAhj4AAHC9AAAUPgAAmL0AALg9AACgvAAAf78AAFA9AAAsvgAAmL0AACQ-AACAOwAAMD0AAHA9AAAMPgAAqD0AABC9AADYPQAAQDwAADA9AAAEPgAAHD4AANg9AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=UATnzcV-gnU","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10938975009855427185"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14602123773250357159":{"videoId":"14602123773250357159","docid":"34-11-1-Z02B87A0FFE729B81","description":"Discrete Mathematics| Ma3354| Unit 4|Algebraic Structures in Tamil| Groups, Semi groups, Monoids & Abelian Group Introduction Discrete Mathematics: Unit-1 Playlist: • Discrete Mathematics (unit-1)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3423062/a569fba96a91bbe191851e77cf77a169/564x318_1"},"target":"_self","position":"8","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiehK3Z3j1VI","linkTemplate":"/video/preview/14602123773250357159?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete Mathematics| Ma3354|Unit4|Algebraic Structures|Groups, Semi groups, Monoids & Abelian Group","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iehK3Z3j1VI\",\"src\":\"serp\",\"rvb\":\"Eq8DChQxMzc1MjUwMDI1MzQxNjY1MzQzOQoUMTMwNDc1ODc0MzMxODE0ODczNTgKFDE2MzMwODkzNTkzNjQ1MDQ0MTQ4ChQxNjAxNDg3MDA5MDM3Mzk3OTE1NwoTODkyNDMwMDQwMzI5MzE5MzE5NQoTMTgwMDU1Njk4OTI0NjAxNzE1NgoUMTA5Mzg5NzUwMDk4NTU0MjcxODUKFDE0NjAyMTIzNzczMjUwMzU3MTU5ChQxMzMwOTA0MjU1NTgyNTgwOTU1MgoTMTMxNjUyNzYxNjc3NzI0ODQ2NwoTODY2ODc0NDI1NjE2OTc0OTk3MQoTNzE1MTgwODc1NzkxNDUzMzEzMAoUMTA0OTc1Mzk3MzQ0MjE3MjM4MDUKEzk1NTIyNDI0OTQ4Mzg4ODkzNDcKEzExNTgxNTI3Nzc4NDc0NDkzMzMKFDE0NDk5NTkzMzE2NjczNzY1NjQ0ChQxNTE2NTM1ODgzNjYwNTM0Mjg3NQoUMTYwNDM0NzQzODA0Njk4NTYzMjYKEzQ3MTQ5ODA1NDMwNzIxMzA2NjMKEzM5MTI1NTg4OTg1NjkxNzE5OTYaFgoUMTQ2MDIxMjM3NzMyNTAzNTcxNTlaFDE0NjAyMTIzNzczMjUwMzU3MTU5aq8NEgEwGAAiRRoxAAoqaGh0bGZ5enp0a3F0bWJzYmhoVUM4R0Q0YWtvZlVzT3pnTnBhaUFpc2RREgIAEioQwg8PGg8_E88MggQkAYAEKyqLARABGniBEQMC_gP9APsDAw8LCfoCBhAR_PcA_wAACvn09wT-APnyFAIFAAAA-wb0_P8AAAD28v0K9_8BAA4CBvz8AAAAFw8J_vUAAAAREvr4_gEAAPAF-v0DAAAAA_MA__8AAAAADvnwAP8AAP4QBQEAAAAA_AYFDv8AAAAgAC1RjMs7OBNACUhOUAIqcxAAGmDIBwBk9fzrnUUZz8fGw_wS9_O596n3_-X7_wMUB97_9_La6xn_DAEMAKcAAAAYHg4SGgDydbW3qzMo8Aak8AknS3_EM_7PGfsDvw426-v_JTX16jAAvufr_h_qCRzZCyMgAC1-Jxs7OBNACUhvUAIqrwYQDBqgBgAAYEEAAIBBAAAAwQAA8MEAAMBAAADgQAAAFEIAAFBBAACAQAAAyMEAAKhBAADwwQAAnMIAAKDAAACIQgAAUMIAAFBBAAAcwgAAgL8AABjCAADAwQAAeMIAANjBAABsQgAAPEIAAIDAAADowQAAxsIAAMDAAAC4QQAAAMAAAIRCAAA4wgAAwMAAAFDCAABAwAAAcEEAAP5CAAAYwgAAFEIAAMBBAAAQwQAAYEIAAGBBAADYQQAAAMMAADDCAABAwAAAQEIAAAAAAAAswgAAQEEAAEBAAACgQAAAFEIAAABBAACswgAAyEEAAAAAAAAUQgAAWEIAAFDBAAAQwgAAoMIAAABAAACAwQAA4MAAALDBAABAwQAA0MEAAJxCAACmQgAAAMIAAPBBAABAwAAAbMIAAJDBAABgwQAAmMEAAABAAABEwgAAwEAAACDBAAB4QgAAqMEAABBBAABQQgAA-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-AAAQPQAAQLwAAKg9AACAuwAAC78AAFS-AABQvQAA4DwAAJi9AAAkPgAAcD0AAOA8AACCvgAAfD4AAEC8AACIPQAACz8AAH8_AAD4PQAAmD0AABS-AACAOwAADL4AAIA7AAAcvgAAyL0AAGQ-AAAMPgAAiL0AAMg9AACSPgAA4DwAABA9AABAPAAAgLsAAHS-AAB8vgAAPL4AAKA8AABQPQAAcL0AAGS-AACKvgAApj4AAIq-AADovQAAhr4AANi9AABwPQAAdD4AADw-AADYvQAAEL0AAPo-AACgvAAAoDwAAFQ-AADYvQAAyD0AACQ-AACAOyAAOBNACUh8UAEqjwIQARqAAgAAUL0AAHA9AACOvgAAI78AAJK-AADoPQAArj4AABA9AAAEvgAApj4AABC9AAAMvgAAQDwAADS-AACgvAAAEL0AAMi9AAABPwAABL4AANY-AACYPQAAgLsAAEy-AADIvQAAUD0AADw-AABwvQAAQDwAAJi9AABQvQAAUL0AAOC8AACAOwAAsr4AAAy-AAC4vQAAyD0AALg9AAAUvgAAUL0AAJg9AACIPQAAPD4AAIi9AACYPQAAqL0AAH-_AAAQvQAA6L0AAIC7AAAEPgAAgDsAAIg9AABAPAAAuD0AAOA8AACIvQAAgLsAALi9AACIPQAA6D0AAHA9AADYPQAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iehK3Z3j1VI","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14602123773250357159"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13309042555825809552":{"videoId":"13309042555825809552","docid":"34-0-0-Z8062351D0CAC303B","description":"Welcome to our YouTube tutorial on "Subgroups in Group Theory"! In this educational journey, we'll unravel the concept of subgroups—a fundamental aspect of abstract algebra and group t...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2235161/9d04f8e4e78ad849842ba277a15cf121/564x318_1"},"target":"_self","position":"9","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqrvTABb0FvU","linkTemplate":"/video/preview/13309042555825809552?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Subgroup in Group Theory | Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qrvTABb0FvU\",\"src\":\"serp\",\"rvb\":\"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_E98KggQkAYAEKyqLARABGniB_v4BCPsFAPX-CgwCBv0BBAAAAvn__gD--_31_AX-APL1_wECAAAA_AX1_AAAAAAB9wEE9v0BAAoFAAgEAAAAGAL9APgAAAAPEPr5_gEAAP3_AgYD_wAAAggB_P8AAAD5Bf74_gAAAPwZAwQAAAAADQUCAwAAAAAgAC15oOI7OBNACUhOUAIqcxAAGmDkGQAmGzPkzjso6MTuvPMB_QDL38vz_9rr_wIl09EQIbvD8wb_HrQL66oAAAAc8_L7MQDXbgbDskwg6_7zDvUjJX_RJenFFO7o5ir96NUw-Sq-2_oA0-z-Ov71_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_AAAAwQAAmMEAALhBAACAQAAAPEIAALjBAABAQQAAcEEAAChCAAAAAAAAYEEAANbCAAAgwQAAwkIAALDBAAAUQgAAEEEAAFjCAADwwQAACMIAAPhBAAAwQQAAIEIAAIDAAAA4wgAAQEEAAATCAABAwAAAwMAAACxCAAAUwgAAFMIAAExCAACKQgAAAAAAAOBAAACgQAAA8MEAADBCAABYwgAAPMIAAExCAAAAwgAAEMEAAKDBAAAAQQAAgkIAANhBAACgwAAAoMEAAKzCAAAAQAAARMIAAEzCIAA4E0AJSHVQASqPAhAAGoACAAD6vgAAur4AADA9AAB8PgAAVL4AACk_AAC4vQAAV78AAJa-AAAUvgAAqD0AAOC8AAA0PgAAmD0AAPi9AACYvQAAkj4AANg9AADYPQAAKz8AAHc_AADYvQAAkj4AAJq-AADyvgAAiL0AANg9AAAMvgAAvr4AABC9AAAJPwAAjr4AABS-AADCPgAAiL0AAFQ-AAAQvQAA-L0AANa-AABcvgAAyD0AAKK-AABEPgAAqD0AAGy-AAB8vgAARD4AAMa-AACgvAAAAb8AAIK-AADovQAAgj4AANg9AAA8PgAA4DwAAH8_AAB8PgAA4DwAAAw-AABQvQAAHL4AAIC7AAAwPSAAOBNACUh8UAEqjwIQARqAAgAAyL0AAEA8AACGvgAAGb8AAHS-AAAMPgAA4j4AADy-AAAQvQAA2j4AAPg9AACgvAAAuD0AALi9AADgvAAAQDwAAKA8AAAZPwAANL4AAPo-AADoPQAAoDwAAOi9AAC4vQAAMD0AAFA9AACAuwAABD4AACy-AADgvAAAcD0AAIA7AACIvQAAhr4AAOg9AACYvQAA6D0AAFw-AACCvgAA2L0AAI4-AABAPAAAHD4AABS-AAAEPgAAQLwAAH-_AABAPAAAiL0AAOi9AAA0PgAAHD4AAIA7AABQPQAAyD0AALg9AACovQAAyD0AADA9AABwPQAA-D0AAJg9AADoPQAAmD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=qrvTABb0FvU","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13309042555825809552"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1316527616777248467":{"videoId":"1316527616777248467","docid":"34-9-9-Z9A6269FF64A7B7BC","description":"Hindi 2.Boolean Algebra Playlist in Hindi • Boolean Algebra playlist | Discrete Mathem... 3. Function playlist in Hindi • Function playlist in discrete mathematics ... 4. Relation | Discrete...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2301951/fbdd4c0181c74accc423cb046c88c6f5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QZnmRwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWpLKjOABtEU","linkTemplate":"/video/preview/1316527616777248467?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group in discrete mathematics | what is Group in discrete mathematics| Semigroup monoid abelian","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WpLKjOABtEU\",\"src\":\"serp\",\"rvb\":\"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_E88KggQkAYAEKyqLARABGniBAQP9AvsFAAP6DQ0FCvoC8QP8CPr__gD_A__8-QX-APn2BAALAAAA_AX1_AAAAADz-gEF_QAAAAoFAAgEAAAAEwsAAf4AAAANC_wD_gEAAPgB_QED_wAACAUEAQAAAAD5Bf74_gAAAP4PBQAAAAAABQYDCf8AAAAgAC13W-M7OBNACUhOUAIqhAIQABrwAWz48_7bDd8A2QTMANYk5AGBIgr-_THVAMsBDgDXBuEBFP_yAMr9EAEY-R3_7iP1AET34wADyxT_Itjx__0A-wDcAvwBEtfwAi8CCADk-ef_4CIR__PYBf713bgACAvT_gcCDf7n_NsD9vTdBg_mDwPm-ioEDAMVAf_gCfriHgACz97O-_3w7wTz8Qf4wx8XAwLcCAgrEggC1wH-BdPb5_8O2Qz8FQrlBBzeBALy9wz35xEE-gkl6f4nAhIB0eH5_Pv2DwHu5hH64fUL8ivTEALmEPEIE-H6CSYWDQEAzvkB_wf28AMN8QkC_vgNAPf0_SAALf8hHTs4E0AJSGFQAirPBxAAGsAHt-zYvl13qTyx1MS80rqnvbhAIj1VZYS8jY8AvYDMuD0WkiO7vD-OPd2TKDuJ4Cm99pZivgV4gTx5Pw28LQtWPrCKXL1BLSa9cT1avucWvz2FTKi89aGDvjx38TsuxZc7QFwoPLhub7z9BIa77xEbPcHEv70IkAG9b7EMvVZbG71SOMy8Nspavmoab7yHp4C3G3-HPNc3m72uqWK7bEhXPbHs-LxUhpa8V-m-Par54LyKraC8OQllPVSwHzxS7wy8OdawPZQpa72g8rk8ObfJvCtutzyGVqc8NSbkvSidKL2UqsS7D3uGPey5kT05oSu9jUEXPhTNg71DoAS9QLexvT0pEz2a3Bw8JxcTPk_Vcz0VqbA83O-Fvd0J9j3Ineu6odxxPVsULDyBaLm7ASM-PdhZXr2QCYK8My02PSAqTT2lKx477e4DPBcvFDx4o4U8x458PTAvwDsm2-W8UAgzPQm_GrwkUFS7LCw4vNpijT0hjfE7ESqyPRogKDt6UBK72S4GvMyh-zzaM_A6m5UIvQh2DL7NpeG7gAEOPe4YmL3DeZ28cMLvuglcjbxxBW-8KZWwPAo1pzjpP9K7eGKWvS_V8bxd4gY7baSRPF7Ieb0frDU7pxaLvcVvLzw6rzE8_GWBvY6hUjzf61q87O-mPVpNsj1Pc6a5xWUGPfoMCL5VIQO6Yt-pPNOueDy1d1u76zczPTFnUT3Gcfk6ZFkTOwSPDz3Johe70YkuPcNK4Dz6Z587f06BvCl7pjxXSqW4FbN0PUBgr72NYn44zaHWPHhSlTw8ypc4ujsBvTcfUj2kw3K5MU2Ju40dRLqLgqg4FJ2LvYl64b3GJ3A5ebbDu6LOYT1WBRO5Dv2-PZ8WCL2hKJY5IKLHvZK-_7x1nQ-5aQCvPKVM6j2ij744BLLwu0cdnbvbzvU388APvN2kWDzLBOy5A90ovGSy-LyiMRA59VXovI-JWT3WMUE4wJWJukRjd71e3BW4_-WPvfG5Mz4sJpS5mPJGvQMaVj3k6YU47-cUPe3i7Dzj-pi1xzdqPSBfgr12-co2d7LlO9_7iz1a59S3yXl6veKBFjxZzWU4DlFAvRfJB7xe9pK2iiLkPd5Vz7ybdlQ3YA2GPOUZKDuXIR049wEoPnBh3b3xZ7-5VMXUvf97S70YUVe2ZhK1PF6hz72AurI3l1GRvYdyHT1TOIu2szEGuwivvb0cfaa3Iv_sPTUpBT7zflu4GafGvPN7djxcIr-4tAH4vbVYRT1R4Fw4LsQPPRwdAb3tpqm3IAA4E0AJSG1QASpzEAAaYOf8AC8MEOnFNT3WxcDU4vXyArL25fX_39__CALl0Bf73cT6EP8b4v_jrAAAAC_p3AUdAORyu-ncNwMYCaDY8CY8f-YhCJ4dFPK-ERL7zQ43RujmNwDo9rcmLvHnJu0JLyAALU5AITs4E0AJSG9QAiqvBhAMGqAGAACgQAAAKEIAAFhCAAAUwgAAREIAANjBAADQQQAAXMIAAETCAAAYwgAA4MAAABTCAAA4wgAA0MEAAJRCAABkwgAAGEIAABDBAADoQQAA4MEAAEDCAAC4wQAAAMIAAGhCAACoQQAAMMEAAIBAAACAwgAAMMEAAAAAAAAAAAAAkkIAAMjBAACgwAAAmMEAAIC_AAAgwgAA8EIAAGBBAACYQgAAAEEAAHBBAAC0QgAATEIAACDCAAAEwgAADMIAAPDBAACgQQAAMEEAAFjCAACgwAAAoMEAACDCAADIQQAAwMAAAADDAAAAwAAAsMEAALhBAACAQAAAAEAAABBBAAA4wgAAcEEAANDCAABQwQAAHMIAAHDBAABwwQAAnkIAALRCAAAgwQAAREIAAEDCAACAwgAAGMIAAIA_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-AAAEvgAAfD4AADA9AACAOwAAsj4AADC9AAAvvwAARL4AACy-AACAuwAA2L0AABQ-AABwPQAA2L0AAKC8AABkPgAAMD0AAGQ-AAD6PgAAfz8AAIi9AABMPgAARL4AAFC9AABcvgAAUD0AANi9AABwvQAAhj4AAI4-AACIvQAAML0AAEQ-AACovQAA-D0AAOC8AABQvQAAmr4AADy-AAAQvQAAyL0AABA9AACAOwAAVL4AADS-AACyPgAAqr4AAAy-AACmvgAAEL0AABA9AACGPgAAgDsAAFC9AACAuwAAIT8AAAw-AABwPQAA-D0AAKC8AABwPQAAQLwAABS-IAA4E0AJSHxQASqPAhABGoACAADovQAALD4AAJ6-AAARvwAA1r4AAKA8AADiPgAAyL0AAOC8AAABPwAAyD0AABC9AABQPQAA2L0AAKA8AABAvAAAcL0AAP4-AAAsvgAA7j4AAFw-AACgPAAADL4AABS-AACgPAAAXD4AACS-AAA8PgAAkr4AAPi9AACAuwAAML0AABA9AACKvgAAqD0AAKC8AAAkPgAAjj4AAAS-AAAcvgAAqj4AAIg9AAAMPgAAHL4AADQ-AACYvQAAf78AADA9AAAkvgAADL4AABw-AABsPgAA6D0AACw-AABAPAAAyD0AAAy-AAAQvQAAgDsAAKi9AAAwPQAAHD4AABw-AAD4PSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WpLKjOABtEU","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1316527616777248467"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8668744256169749971":{"videoId":"8668744256169749971","docid":"34-9-1-ZAAD0C991F2912F03","description":"#pythonprogramming #encapsulation #objectorientedprogramming #gettersetter #learnpython Plz Subscribe to the Channel and if possible plz share with your friends. DAA ( Design and Analysis of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3950584/31f53da1d9ff3f3e22a3120eafeda31e/564x318_1"},"target":"_self","position":"12","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrpN0UQ75OLk","linkTemplate":"/video/preview/8668744256169749971?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Semi Group in Algebraic Systems || Discrete Mathematics Structures","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rpN0UQ75OLk\",\"src\":\"serp\",\"rvb\":\"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_E5YDggQkAYAEKyqLARABGniB-Q_0_gL-APv8_xABCfsCDf76Cfb__wABFPr2AwT-AOnsCwAE_wAABAb2AQIAAAD28v0K9_8BABIIAQ31AAAAEwn3_fYAAAAGFgD6_gEAAPgB-fgD_wAABf4DBAAAAADtCQHy__8AAAAT_P8BAAAABgYDCv8AAAAgAC2O-ss7OBNACUhOUAIqcxAAGmDi9wAjKA7t0Ug63sfmtgwEAg2pBbz0_8rKAPgq-dUK-wXXDAP_JPb27K8AAAABC-QDKQDtZ9jH10YVHhLGxAAaG3_RM_XkOOMIuh8r_OACBDjtCUcA5t7wEj_R8ATz_iIgAC2aSCk7OBNACUhvUAIqrwYQDBqgBgAAoMAAAEDCAACeQgAARMIAACzCAACwwQAAuEEAABjCAAA4wgAAYMEAAKBBAACoQQAAEMIAACzCAAAUQgAAMEIAADBBAABMwgAAEEIAAILCAAAMwgAAAMIAADTCAACSQgAAdEIAAHDBAAAowgAAisIAAFhCAACUQgAAoEAAAABCAADIwQAAIEIAAIzCAADgQQAAuEEAAKBBAACgQAAAIEEAAAzCAAA0wgAADMIAADDBAACoQQAAgMEAAAzCAAAQwQAAhkIAADDBAAAcwgAAgMEAAKjBAAAUQgAAUEEAAFDBAACYwgAACEIAAKBBAAAkQgAAiEEAAEBBAACCwgAAMMEAAGDBAACgwQAA4EEAAFzCAACIwgAAiEEAABxCAABgwQAAUMIAAFxCAABAwQAA0MEAAIjBAAAMwgAAcMEAACBBAACowQAAQEIAAKDBAABAQQAA6EEAAN5CAACGwgAAQMEAAFhCAACuwgAA0EEAABBCAADowQAAAEEAABTCAAAowgAAHEIAAADBAAAAQgAAqEEAADDCAAC4QgAA0EEAAK7CAAAAAAAAIMEAAJjBAAAgQQAArsIAAIpCAABQQQAA-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-AAAwPQAAQDwAAMI-AAD4PQAAM78AALa-AACIvQAAcL0AADy-AABEPgAAqL0AAHA9AAA8vgAAdD4AAFA9AACKPgAAFz8AAH8_AADYPQAAlj4AAOK-AABAPAAAhr4AACQ-AAAcvgAAor4AAIo-AACqPgAA4LwAAEQ-AADuPgAA4DwAACw-AABQvQAAoLwAAI6-AAAcvgAAkr4AABy-AACoPQAAgLsAAOi9AAB0vgAAqD0AAJq-AABEvgAAVL4AAHA9AAAQvQAAHD4AAKC8AADgPAAAEL0AACU_AACAuwAAcD0AAHA9AABAPAAAMD0AANg9AAAQvSAAOBNACUh8UAEqjwIQARqAAgAAHL4AAAQ-AAD4vQAAK78AAES-AACIPQAAPD4AAHC9AABQvQAAyj4AAHC9AAA8vgAAoDwAAAy-AACAuwAAiL0AABC9AAAnPwAA-L0AAJo-AADYPQAA2L0AADC9AADgvAAAyD0AABQ-AAAcvgAAuD0AAOi9AADgPAAA4LwAAIA7AABwPQAAVL4AADA9AADovQAALD4AAAQ-AAAsvgAAcL0AABw-AADgPAAAyD0AALi9AADoPQAA-L0AAH-_AAAcPgAAyL0AAEC8AABcPgAAmL0AAMg9AACoPQAAED0AADA9AADgvAAAmD0AAHC9AABAPAAAFD4AALg9AACIPQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rpN0UQ75OLk","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8668744256169749971"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7151808757914533130":{"videoId":"7151808757914533130","docid":"34-6-6-Z0665FACA823D9FEB","description":"1. What is Subgroup ? 2. Important example of Subgroup 3. Definition of Proper & Improper Or trivial & Nontrivial Subgroup 4. This is part of Abstract Algebra #GroupTheory #DiscreteMathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1906358/32a186bd750b346019d199c4dd911e9e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-PBE6wAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrONgcxp-Y8w","linkTemplate":"/video/preview/7151808757914533130?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory | Subgroup | Subgroup Examples | Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rONgcxp-Y8w\",\"src\":\"serp\",\"rvb\":\"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-AQj7BQD8AA8FBwf8AQEI_gj4_v4A_vv99fwF_gDy9f8BAgAAAPYJ_PoEAAAAAfcBBPb9AQAKBQAIBAAAAA8G_gj3AAAAGRD_AP4BAAD2_gMEAwAAAAIIAfz_AAAA9QD_-gMAAAD7EQkMAAAAAAUGAwn_AAAAIAAteaDiOzgTQAlITlACKoQCEAAa8AF_BfsC1PvV__AF2wDaIuYBlgkl_w8T2AC1-xgArPXpAOUMAgDb6eYB8_ci_-I5Dv8t29f_Bfz1AA3b9gD9APwA-gD7AGXfEAFM_PwB__Tm_9TxKwAD4wsAGunpABb1_wEUABH_B_veAf352f0N_jYBIhwdBB4EDQju5vYB5BwAAvj84gDt7g0H_vETAN0XHAHqCvED6gvy-N8n9gIY2vYH6fT8-wco2v4hCgYM8vjiAcoKAwcm_uQDEx0f__n69fL6EQb64t4AAB8bCgn09Av_DecB-wjx9gcQ7_MBBN8WAfgIAAfsGgEA6hL9AwkC8PogAC3g4Sk7OBNACUhhUAIqcxAAGmAY_gASByno5AYe7_i94uvc7fi6AcX-__Xi__ga5dkeNLa18_H_CrT93qYAAAA079zoPQDwf_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-EEAAOBBAABUQgAAsEEAACxCAADwwQAAEMEAAExCAAAMwgAA6MEAAARCAACIwQAAyMEAACDBAABAwgAAAMEAAJhCAABwQgAAWMIAAADCAAC0QgAAsEEAAKzCAACAwQAAgEEAAADAAACgQQAAQEAAABBCAABgQgAAwMEAAGTCAACgwgAAjkIAAMBCAABQwQAA4MEAAMDBAAAwwgAAqMEAAPDBAAAkQgAAFMIAAM5CAABgQgAAgL8AAJLCAACwQQAAEMIAADzCAAAEwgAAwMEAAFxCAADgQQAAuMEAABDBAABEwgAAYMEAAEDCAACQQQAAGMIAAEDBAABAQAAAIEEAAIA_AACgQQAAgEIAAGBBAAAQQgAAQEIAAHBBAABAwAAAAEEAAKBBAAAEQgAAgEAAACjCAACwQQAAmkIAACTCAADoQQAAwMAAADDBAAD4wQAADEIAAGxCAAAAwgAANEIAAPjBAABMwgAAAEIAAIhBAACwwQAAEMEAACRCAAC4wQAA-MEAAIxCAADwQQAALMIAAMhBAAAYwgAAAMEAAEhCAACAQAAARMIAANhBAAAYwgAAQEIAAAjCAAAAAAAAMMEAAHhCAACowQAAIMEAADDBAABgQQAA0MEAAOjBIAA4E0AJSHVQASqPAhAAGoACAAB0vgAAdL4AAAw-AAAkPgAADL4AANY-AAAQvQAAK78AAES-AACAuwAAHD4AAEC8AADgPAAAbD4AAOi9AACIvQAAfD4AAIg9AACIPQAA_j4AAH8_AABAPAAATD4AANi9AADGvgAAEL0AAHA9AAC4vQAAPL4AAIg9AACmPgAAuL0AADy-AABsPgAAgLsAANg9AADIPQAAEL0AAJq-AABsvgAAgDsAAMK-AACAOwAAoDwAAJa-AADovQAATD4AAJK-AAD4vQAA1r4AADC9AAAQvQAAhj4AADA9AADYvQAAoLwAAGM_AAAEPgAAiD0AAGw-AACgvAAA-L0AAOA8AADYPSAAOBNACUh8UAEqjwIQARqAAgAAyL0AAOC8AAAEvgAAGb8AAFy-AADoPQAApj4AAPi9AADYvQAArj4AAIA7AADIvQAA4DwAABy-AABwvQAA4DwAAFA9AAAfPwAAFL4AAN4-AADYPQAAoDwAAAS-AAAcvgAAcD0AAJg9AAC4vQAAyD0AAFy-AADgPAAAiD0AAFA9AAAQvQAARL4AAEw-AABwvQAARD4AABQ-AACavgAAUL0AAII-AACgPAAAUD0AALi9AACgvAAAqL0AAH-_AACgPAAABL4AANi9AABcPgAAmD0AAIA7AACoPQAAHD4AAHA9AAAwvQAAyD0AAFC9AABQPQAAiD0AAIg9AAAMPgAAuD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rONgcxp-Y8w","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["7151808757914533130"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10497539734421723805":{"videoId":"10497539734421723805","docid":"34-9-3-ZE08A4E356B3054D6","description":"This video is about the introduction of group theory in abstract algebra. Algebraic structure, semigroup, monoid, group and abelian groups introduction. The videos in this list explain solved...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/927525/118e7ccf798f534e643dedb93b0c7e4e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zeJ01gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8HIcaTw3VN0","linkTemplate":"/video/preview/10497539734421723805?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Discrete mathematics| Group theory: Introduction","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8HIcaTw3VN0\",\"src\":\"serp\",\"rvb\":\"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_E6cBggQkAYAEKyqLARABGniB9Aj7B_0DAPsDAw4KCPsCDAX_AvcAAAD0Dvf1AwEAAPXwCfz-AAAA-g_x_wMAAAD-A_8Q9_4BAAYD_QEEAAAAHwz9-fsAAAAQEPr5_gEAAPX-AwQDAAAACgoE-_8AAAD2AQL7-AD_AfwaAwQAAAAADgUCAwAAAAAgAC0jP9w7OBNACUhOUAIqhAIQABrwAX8ECQGqI9X8BwXuAM8e-ACeEwv_-TMLAM8BDQDEA-UAKxjNAdTg0P8D7dz_whYHACDu3f8C6xQANOD8ACjRHP_wDCIAKOvvACEMCwDiDM8A8RsbABHgGgD33tf_7_vuAPX6JP34ARoCyPrTARboJwLo-igEGd8Q_vDSGAPYEwIBC9Xb_vkA8wTi4_r86CsfAhH_7QgLJQb69yf0BAff-fn-4xT9GRjl_hDmAgYBAQv58eoDB_b8Afr5EQP95hMLDfT4IgLc6AD5Ahj8_BgC_gjnCQEA_vX6AQgHAwwL4fsD-OoBABEZ-v3nGA0H4wf27yAALc0dJzs4E0AJSGFQAirPBxAAGsAHahbQvqyUGT1TDfe7yXeEutU15Dz78c28mxvTvBczHb3QXbe8zNJOPejoJzyT5X-8OGmKvtEMPTztrn08nUaCPn8WS7y-Esi8huMJvt8g9TysASq951Z4vgJaxLx4UhG6rpjGPasynbu79Om7MEfPPDi6j73yJyo86jYSvVMUnr0nTPu70qkrvtqNHj3cF0g7BcN5PTDNvr2754o87a-IPYPuHL0u2mu7xMF0PfwcvLoOsYu7cv4BvfQSiDz2Ali896mPPYDNXrxqN_Y79GEHvcMNiL0unYU8-SlTvQQDCDxvuXo8D3uGPey5kT05oSu9--b-PU5jHLyhEhm8JjX0vX4DLj2rugI9tKPCPBqAgj0ztIs8TzwHvQ15yj2HYOY7_5k8vaEbED3Xtzg8Dk7kPVr6C70rdmo7zJAPPYIjPL2C4dw8DBsqPQWd2jviqaw83Ws3PYycqj0EfoO8lz0kPUEr8jtPwpa7SWgLvjkLGz0_3g48O3TFPQcBHr2uFBu8-HU7PZwOCT2WXCS7Pc3NO_g7j72omDk8HtOUPRRJir0HgXC876KaOz0w2zt7epU7qDIxPf93xDzuRMW7cWOJvcwRvb0stSQ7CocZvfIGPb3ZOhs8LL0xvfqMNT3tCK86IgTguw4jjjz9d1A6cXONuy5gOD1Brwc8vH1RPRhBM76xnJG5ngnNPYf0kD27dpK6CBbRvIneGL3BdNY6h65wOPzvc7s8xeS60ClIO5MtHL31B1I7kuYPvWxGAT1PfG-63WGTPbuXC76lDmg5GFWQPXiLMT1gxBI5V1khO3Z_hr0zKOC3yxTTPQsJ2Lx4Kj-5BdP6u_hOgb0J-ZG5alBPPRN8EzyUSxK5h-T_PO67_Tzynac5LhS6vKMyjzzUT0i6fxFZPV5NeTyWQK838pUgPfDodb3Xd_e3kE3SvUP2i7w0XEa5xuChPcE4GL1S6UK5npY_PVTwijzm6kk4_VptvVlThL1hRp84cHsfPIsqDT3noKS4eGKWvYlVzbxiP424_4AdvV2Ejrzbw4G3h0VWPdNlpr2_KPQ2ovtIvc4LpjxEo-o4x2KgvSJveb2puKC4nB6vPCml8bxMT-q3xa2CPEXJqr2SppU4V8IDvAAIjjyM4po4oFTLPffxxrwtj9W4rBtPvXAAYr1x-qK47gHfPNVdCb5HGMQ4aW5FvX8jUL0dVlK4P47GPSveCL6HIrS4Iv_sPTUpBT7zflu4eo-OvRjY2bwOJO63kDjavBXlsj3Eoi03MAfqO7cJB76nmpW3IAA4E0AJSG1QASpzEAAaYPf0ACD-IOHqKTzKwOHCGvPgCcAFw-z_2uL_Gx215AIS28ru_v_5sgLIpQAAAB3c7AUoAOF_w8fPUhwKD9_K0iomfgsjH5303_GzEg34zRI8OdfdKAAPyqA-DvzAMd4OHyAALVgzFjs4E0AJSG9QAiqvBhAMGqAGAADAwAAAoMEAAFhCAAC4wQAAAMAAAAAAAADwQQAAcMEAAIBAAAAAQAAAHEIAALTCAACswgAAUMEAACDBAACIwgAAmEEAACDCAADAwAAA2MEAAIC_AAAkwgAAiMEAAChCAADIQQAAqEEAACjCAACiwgAAsEEAALBBAADQQQAA8EEAAHjCAABgwgAATMIAAIBAAACgwQAA_kIAAOBAAAA4QgAAAMAAAKBBAAAwQgAAWEIAACTCAACwwgAAYMIAAHDBAACmQgAApkIAAFjCAADAQQAAwMAAACDBAABYQgAAMEEAADzCAACIwQAAYMEAAABCAADAQAAAyEEAADDCAAB0wgAAQMAAAAjCAACAwQAAiMEAAADAAABwwQAAjkIAALBCAACYwQAAsEEAABBBAADwwgAAdMIAAEDCAAAgQgAA4MAAAEDBAACIQgAAMMIAAKhBAABMQgAAuMEAAHBCAAB0QgAAOEIAAIjCAADwQQAAWEIAACTCAABwwgAA-EEAAADCAABAQQAATEIAADBCAAAQwQAAaMIAAMhBAACcQgAAZMIAAI7CAADAQQAAEMIAANBBAAAQQQAA4EEAAHBBAACQQQAAoMEAAODAAAAgwQAACEIAABBCAABYwgAA0MEAAEDBAADAQAAANMIAAEDCAACywgAAyEEAAGBBAAC4wQAADMIAANjBAACYwQAAIEEAAIhBAAAYwgAATEIAADDBAACYQQAAiMEAAIBAAACYwQAATMIAAIBAAABkwgAAAEEAAIDBAAAAQgAAGMIAACjCAAAAQAAAAEIAAEDAAACYwQAAsEEAAEDAAADAQAAA4MAAAJDBAACgQAAAkMEAAKBAAACgQQAAMMIAAOBBAAC4wQAATMIAAOhBAADAQAAAgkIAAKBCAACgwAAAAAAAAMhBAAAcQgAAEMEAAMBBAACAvwAA0EEAAIBAAACIwQAAfEIAAPhBAAAAwQAAAAAAAFTCAACAQgAAsEIAAABAAAAowgAAMMEAAJDBAAAEwgAAvMIAAHDCAAAwQQAAcMEAAIBBAADYwQAAwMEAAIhBAAAwwQAAqMEgADgTQAlIdVABKo8CEAAagAIAAO6-AABcvgAALD4AADQ-AAC4vQAAAz8AAIC7AABdvwAAB78AAFC9AACSPgAADL4AAMg9AAAsPgAA6L0AAAy-AADSPgAAqD0AAI4-AAAzPwAAfz8AAAS-AACSPgAAvr4AAOq-AADYvQAADD4AAMi9AAB0vgAABD4AAPo-AACSvgAAdL4AANI-AACYPQAAyD0AABC9AABMvgAAZL4AADS-AADgPAAAfL4AAFA9AABAPAAAPL4AADy-AAB8PgAA8r4AAPi9AAAVvwAAdL4AAHC9AADIPQAALD4AAHQ-AACAuwAAVT8AAEw-AADgvAAALD4AAKC8AABwvQAAQDwAAKC8IAA4E0AJSHxQASqPAhABGoACAAAcvgAA4DwAAFS-AAAJvwAARL4AAGQ-AAD6PgAANL4AAOA8AAC6PgAAcL0AALi9AABQPQAAcL0AANg9AADgPAAAcD0AAB8_AABsvgAAAz8AANg9AAAwvQAAqL0AAHC9AAAwPQAAoDwAAIC7AAD4PQAAhr4AAEA8AACIPQAAMD0AAAS-AABMvgAAfD4AAKA8AABcPgAATD4AAJK-AAAwvQAAjj4AAKg9AABEPgAAiL0AAJg9AABAvAAAf78AADC9AAAsvgAAJL4AABw-AADoPQAAMD0AAHA9AAB0PgAA-D0AADC9AABQPQAAQDwAAKg9AAAUPgAAVD4AAOg9AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=8HIcaTw3VN0","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10497539734421723805"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9552242494838889347":{"videoId":"9552242494838889347","docid":"34-7-5-ZC515C42B9BE2CCB7","description":"St... Theory of Computation: • Introduction to Theory of Computation || G... Compiler Design: • Ambiguous Grammar | Introduction to Ambigu... Design and Analysis of Algorithms: • Design and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1030268/9a82e78198912d2b03d8f5ab8545dc78/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/CPokOwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8oZGL_LrJv0","linkTemplate":"/video/preview/9552242494838889347?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Properties of Group in Discrete Mathematics | Group Theory","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8oZGL_LrJv0\",\"src\":\"serp\",\"rvb\":\"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_CYIEJAGABCsqiwEQARp4gf7-AQj7BQD8-QYHAgf9AgQAAAL5__4A-gb_9QIE_gD28Qn8_gAAAPoK-wMCAAAA9QUDCPwAAAAGA_0BBAAAABgC_QD4AAAADRf7Av4BAAD2_gMEAwAAAAUBAP3_AAAA-_0C_f3_AAD5D_0GAAAAAAj-BAYAAAAAIAAteaDiOzgTQAlITlACKoQCEAAa8AF_EDAAz9fIALP-9AC7LwoAnzEn_woi5P_H9v4A1u-9AeAsDv_s7eIBAvQMAMEg1AAfAb8ABMMX_xvi6f85A_AA4hTqACnQ8gFJAxj_Gejs_u0hIADy0ir_Kc_0ARwc2wAGBP7_I_D6-wvpswkn-zIB-AEpBi789f_wwQj_9tXlA_zk3P0SL9QEA9L_-dQdIwILx-oFAvkP_NEC_Qb40vH_Hd8SAhdE6P8T6vT_IffsBsPk_gbz8PIH904CA84Iz_3y9ikC_PDu-fkGCgAR-wH_4hPvCQna6AEc8g8FDxcWBvDu9Q3P8wkJ6AL8_BAX9O8gAC3gaQk7OBNACUhhUAIqzwcQABrAB7IOx77nWSQ83wqXvKoLnb3Lgb87wP6QvFGH9b3Xl4Y9hadhvbw_jj3dkyg7ieApvYEIAb43Pkk9rm2AvMVVhT5UMG-9m38qvHV0_L0vE5o9CwIQvbeyJL4pFcM8RNBivCZnsj2zMQY70dObPODZfj1ScU29zTdHvF0Xvr1dlqW8ks1VvUPn9b1_th-9WiIBvRNctLsxzA69L_rIO52FeD28PpC7igU-vPUlQDyHv6a8oGyKvNYxM72NUvg8ND_IvITY2T3U9Z88d503Okq4i72tMtO8R1ACvNFeiL36ghG99qXpO0ELCT2-7Eg9EUqpvLybIj3AA6i9wz-yO2UXXL54p4w8KAS8u7ZBlz3KFom8jgHZPHTZPr1Wosc9OQ_nvFU8BD0Qela9KlMMvWLglDzRQRK92LKAu9RI6z36Gc08aJGtPAlkwDzPWXU9hWOxPNTKjjxJ02W98fiwu6jsqjyhXhU9_R3Au9yLHr0D0n48icAJvKhOjD1WEQ49tGx3PKc1E7k29ja8sNBiPLYUCz2RVIC95WuFvPpYpr3LUJC9Haeuu-fMUT24oIg9WX0evEOpHT4fatu9xJqpOSh22bxXCKu9NIiLu2wmXz3r4MU8MdoPOpDZWb2wI2m8NaUIvDSRiL30pmI9fmbauw-peD2oMIs9GDBUu5k20ry8Ws69GJwvOrRgWD3P-ek8xC-rOiAC2Dxo_Tc9l7mOO7giUT0UW-G9Wy3JuhEBB77Deki9T4h1ueg82TzLsq-7k-ZJOwaYXj1-6zm9HiXNOUlaiz03mm28diA4uV-tf70u4rA9CQI6OUjRFDzl7cg8_Y4NOlxUC72cFfG93J51ORmh6byUOwI9tF3RueuVzbzMyGo9J_nwOcwgw73UDQS-CFOFOeucFb1AbOk7Pg_tt4ApAz53G8o8yO85OT9uZDy-WC27N32DOG9Mar03OTc9ieUjuXh9Rj255qc7BjUAN4wYMT0XGIi9M5UcOWJDnDzDHYk9WLChORHBjb26VoE9SeLlN3LCZD3f_wI9bA0MOA3SwjyAyK66i5vUt8mqjT0jnuw60OO2OMSIg72vcm09GWuqONYfvDwlNkS8wkIIOOwYsjx5_Ci8pl3st61jgbzczuM8VXF1OB-fAD6k5JC9Feg6uW4eYr2xK7K9E7-_uDKU7ry6-Lu9NhcmuAcUoLrJILc9wteat6bUhT2kkcu7FuyAuMr0cD0i4Ss-8cuKOJe7A7zS08E9UWrJuH4nzL0svIs9ySnBOIvMl71Gk5C9sAAquCAAOBNACUhtUAEqcxAAGmDt8gAN-Dzt5ho45bXSzQb65hSmB8X7_9vu_-4uuQgkC8TaFfj_EK0HwKEAAAAhFt__FADkf93xy0IlHAHFpvsJJHLjGhuQ7BkB0wsQH8437jHJ5jgAzPGxSxIGyjbb_logAC2tQxQ7OBNACUhvUAIqrwYQDBqgBgAASEIAACBBAADSQgAA4MEAABRCAAC4wQAA0MEAAEzCAAAYwgAA0EEAAJDBAACgQQAAeMIAAFjCAABAQAAAIMEAAADCAADYQQAALEIAACzCAADgQQAAgMAAABzCAAAYQgAAxEIAANDBAADgwAAAEMEAAJhBAACoQQAARMIAADRCAACQQQAA8EEAAMDAAABAQgAAaMIAAHBCAACYwQAAEMEAAHRCAAAAwgAAiMEAAODAAADYwQAAQMIAAHzCAACwwQAAZEIAACzCAABAwAAAIMEAAJDBAACAQQAAMEEAAMhBAAB8wgAAyEEAAKjBAACyQgAAhEIAANBBAACAwQAA0MEAAIA_AADoQQAAVEIAACBBAABkwgAAmEEAAExCAACgwAAAYMIAAI5CAADgQQAAhsIAAPhBAACQwQAAyEEAAJBBAAAMwgAAoMAAAARCAADAQQAAAEEAAJDBAADQwQAAuEEAAARCAAAkwgAAQMIAABBBAABYwgAApMIAADTCAACgwgAAFEIAACRCAABUQgAAHMIAAABCAACoQQAAfEIAAADDAABUwgAAwEEAAEBBAADIQQAAMMEAANDBAACAQAAANMIAAJjBAAAwwQAArkIAALZCAACgQQAAYMEAACTCAAAIwgAAUMIAAPDBAACgQAAAbMIAAChCAABIQgAAsMEAADTCAACowQAAwMIAAOBAAABwwQAAAEIAAJ5CAACAQAAAgEAAAGBCAAAgwQAAAEAAAFDCAACIQQAAAMAAAIDAAACYwQAAuEEAAIC_AADAwAAAwEAAAKhBAABQQQAANEIAABDCAACgQAAAoEEAACBCAACAQQAAEEEAAK7CAAAAQAAApEIAAJjBAAC4QQAAQEEAADDCAADAwQAAAMIAADxCAACAvwAAKEIAAADBAABAwgAAgEEAABTCAABAwAAA4MAAAChCAACKwgAAOMIAACBCAACEQgAAsEEAAABBAACAPwAASMIAADBCAAAAwgAA4MEAAGxCAAAUwgAAUEEAAOjBAADgQQAAhEIAAKhBAAAQwQAAEEEAAJ7CAACAvwAAfMIAADTCIAA4E0AJSHVQASqPAhAAGoACAAAXvwAArr4AAHA9AAAQPQAAiL0AAAc_AADgPAAAY78AADS-AAAcvgAA-D0AAKC8AAAsPgAAEL0AAAS-AACYPQAApj4AAJg9AABcPgAAAT8AAH8_AABAvAAA7j4AAJK-AACuvgAA4DwAAIg9AAAsvgAAPL4AABA9AAABPwAAXL4AAEy-AABsPgAA4LwAAFQ-AAAwPQAAuL0AAJ6-AACmvgAAED0AAHy-AADIPQAAPD4AAI6-AABsvgAAZD4AAK6-AACovQAAur4AAPi9AABUvgAA6D0AANg9AACaPgAA4DwAAGc_AAAkPgAAcL0AAIC7AABAvAAA6L0AAEC8AAAsviAAOBNACUh8UAEqjwIQARqAAgAADL4AAIi9AABMvgAAF78AAFS-AABwPQAAsj4AAES-AACAOwAArj4AAOA8AACYvQAAMD0AACS-AAAwPQAAoDwAAIg9AAAXPwAAmL0AAPo-AABcPgAA-D0AAAy-AABAPAAAcD0AAJg9AABQPQAAPD4AAHS-AABAPAAAmD0AABA9AABwPQAAgr4AAAQ-AAAwvQAALD4AAEw-AACivgAA4DwAAHw-AAAwPQAALD4AANi9AAAkPgAABL4AAH-_AACAOwAADL4AABS-AACYPQAAyD0AAKC8AACAOwAAPD4AANg9AACIvQAAJD4AAIC7AABQPQAA6D0AADQ-AAAEPgAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=8oZGL_LrJv0","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["9552242494838889347"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1158152777847449333":{"videoId":"1158152777847449333","docid":"34-6-17-Z1E4FB3D915C0D7B5","description":"Subject - Discrete Mathematics Video Name - Abelian Group Problem 1 Chapter - Algebraic Structures Faculty - Prof. Farhan Meer Upskill and get Placements with Ekeeda Career Tracks Data Science...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2094133/2ae2e9427d616789352ca7415e8ef309/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/uvnlRQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6jX4yuQgxmQ","linkTemplate":"/video/preview/1158152777847449333?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Abelian Group Problem 1 - Algebraic Structures - Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6jX4yuQgxmQ\",\"src\":\"serp\",\"rvb\":\"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-QQD_QAD9PoJBwn7AgAE__f4_v4A-gf_8wIE_gD36_4HCAAAAPsG9Pz_AAAA9vL9Cvf_AQAP_f4DBAAAACQQAwQAAP8AFgb_AP4BAAD4AfwCA_8AAA4JAQUAAAAA8wz38wD_AAABGQH1AAAAAAAHAQcP__wAIAAtMYLKOzgTQAlITlACKoQCEAAa8AF9DfkB8NDfAezvzQHfLf0AgSIK_hYJ5wDIESIBvPfKAPUbCADB3uz_GPkd_-8kDP9e7-X_LusjAB7j_v8eBOsB6x0YAEXg8AEyG_T_5Pnn_88FG_8q4_kA9eTmAhkN5v75BQn87xXu__351v0R9QgAKAYOAjLxFwHezQwB0yYK_80A3f0ZDgcEB_QG-9oEIAL2BQADIAcF_9YF5gLpzPj_AdEM_vQR2_8I7ekH6fjv_ujhEfkSD_35FB8h_tL97wQc4R0B5fP79PooA_oY9A4H-P0NBvjz7QMY9A0EBbsC_-Po9goBDgD59BIHAur-7QQgAC3_IR07OBNACUhhUAIqzwcQABrAB2Zrxb5-c3-8I036u5qCm72ptRe8AwVevU04mr3QpGK7SMETvaYO8j2V9DC8ZMlnupsdob5GoZu8yGeoPD0pcz6UwOa79XIOPYc0Kr6eaag9tnJlvBQHUL6Tdn48ipoevY7IJz7zRGY9sGgjvKA0xD2m1VC9Ef_WOUc-mr0DGvQ7tOQUPGwlNL5V7UO7A7IGOuWAeD1HIUS9GwsOu-w0Uj7Zu_m7vn-YO8rngD2G17-8j2wuPNLOj73nKaG8EN_wu-erVD7wXZQ8bMkNPAr4NbzI9tA8ZZ27vLzZ0Tuixo48_fe_OxEWW7tXXHw94yQjvc8w1T1PvWS9O08BPW2s5L2mES49lE7BO9l8Vz3qEG67OCXmOxyEv71NrQ09N5zkOzS1UT1n_w09xontu6kenzy1ToG87Q-1O9CAlT1DkIM8wX2RuwlkwDzPWXU9hWOxPFY-lTyPtuC8Gw2iO75b6jyWzpc9jzaOuXuM6jt3e4W9fGHTOxH29zyfTK28WQ-EPMzJpT3Xfpc8hf6yO4SenT1D8oS9mbdqPHNawbxVvUG9-g56uwJnBD0oTzQ8IkAfOxWQVj2_Xpa93UPCu7mNpj2br9K9okhlOkHYCT1CWKK95D8iutyCRjtHnJQ92wAFPPXFdL2zX5i7E08svOnsyTxMGM09X-iaubW-7Tyokye9aOqzu2GCBD36pfQ8IPusu4sx1TzXQyW9qOOCujTgxz1RuIM8axvzOTx8o7yC56m91n9fuDohE7xkKvM82ch5u2regT1RZmi9AhaEOaUFmjtZNWM80TriOZRGwb0Gz468TTCluCyONL2FnzO9mOOWObMTtL3WRZC9tGcwOZ32NL10rYO66oh_ubT-t7ochC89H6O4ul39WDyA1vy9w6tsOcmUajwp-Dc8XLwAuF8h2DwztRm8oTdnOMayC7xvXVa8dDCQty7iP7uSgRG8wfjZODsWwD3BUh09ajsCOWrjYz2Wy2u9i6k3ORe-eT1_VK49OTHVOJ_PO734AIg9sZSoN44pM7zltOc8azS2uCZd6Ty9kOk7VStfOG95k7tzMDY9tMWQtyDnAzx2uXI9ZB6BOG7UVDy0RJ28M-cAOFxhoD3rrLa9HCu3OLLTnTlC0NE9LMCJNnoK7zzmLyM98-aauIrmAb0j13I8yr6St2YStTxeoc-9gLqyN-jkW73W8CO9SSIwtbMxBrsIr729HH2mtyL_7D01KQU-835buLgfsLyviCs9ItOVuMrqDDyYIYQ8QWBVuLSRa73XSbI9UhvVNyAAOBNACUhtUAEqcxAAGmDz8QAeHy8E1iBE3wHnyfQd8e-uLtwH_9_Q__cx_dIT9MbAAx7_H_QC4aUAAAAq_tX4JQDYf8XO_if02vrF1gMaEmDWOyaSFgsj1Sk-BefuIyz4DGIAz_6iK1L4whYC-f0gAC3RsR07OBNACUhvUAIqrwYQDBqgBgAAUEEAACTCAACKQgAAKMIAAADBAAAIwgAAOEIAAKDBAACEwgAAsMEAABBBAADgQQAADMIAADDBAADIQQAABEIAAEhCAAAcwgAAEEIAAEDBAAA8wgAAgEAAAJTCAACKQgAAiEIAAEjCAABAwQAAQMIAAJhBAAA4QgAA4MAAAIC_AAAQQQAAcMEAAKLCAACIwQAAuEEAAHhCAAAAwAAA0EEAAADCAAD4wQAASMIAACTCAADQQQAAyMEAAHDBAABQQQAAvkIAALhBAABwQQAABMIAACDBAAA4QgAAEEIAAJDBAAC-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-AABQPQAAuL0AAI4-AACgvAAAGb8AAIq-AABAPAAAuL0AACS-AAA8PgAA2L0AAOi9AAAsvgAA-D0AABC9AACSPgAADz8AAH8_AABAvAAAqj4AABS-AAC4vQAAFL4AADw-AADYPQAAhr4AAFw-AACWPgAAVL4AAMg9AACCPgAAgLsAAPg9AAAQvQAA2L0AAKK-AACGvgAAXL4AALi9AACqPgAALL4AAHS-AAD4vQAAoj4AAJ6-AABMvgAAbL4AAAS-AADYvQAALD4AAKg9AACgPAAAML0AABc_AABwPQAAmL0AAFA9AADgPAAAuD0AACQ-AABAvCAAOBNACUh8UAEqjwIQARqAAgAAPL4AABQ-AABEvgAAMb8AAGy-AADoPQAAJD4AALi9AABwvQAAxj4AADC9AADIvQAAML0AABS-AAD4PQAAiL0AAJi9AAAZPwAA-L0AAN4-AABwPQAAmL0AALi9AAC4vQAAQDwAALg9AABQvQAAyD0AAAS-AADIvQAA4LwAAHC9AAAsPgAAVL4AANg9AACAOwAAqD0AACQ-AAAsvgAAQDwAAOA8AABAvAAA2D0AAKi9AADgvAAAUL0AAH-_AADIPQAAHL4AAEC8AADgPAAABL4AAHA9AAAcPgAAQDwAAHA9AACgvAAAcD0AAKA8AACAOwAAoDwAAHA9AABEPgAAVD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=6jX4yuQgxmQ","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1158152777847449333"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14499593316673765644":{"videoId":"14499593316673765644","docid":"34-8-12-Z74A43A42DA8F2397","description":"YouTube channel 👉 • Darboux theorem | state and prove darboux ... • csir net mathematics old question paper 20... detailed proof of Darboux's theorem also discussed about continuous function...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4352108/2d147fc5f222f0a783f947925df57301/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/YzeRsgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiA2bSDXdQE0","linkTemplate":"/video/preview/14499593316673765644?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Group Theory | Examples of Group & Abelian Group | Discrete Mathematics bsc ba mathematics CSIR net","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iA2bSDXdQE0\",\"src\":\"serp\",\"rvb\":\"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_AQA-wMDDQoI-wL6A_8B-f39AP8D__z5Bf4A9O7_9QH_AADxAvj-AQAAAPP6AQX9AAAADQD9A_sAAAATCwAB_gAAAA0Y-wL-AQAA-AH8AQP_AAAF_gMEAAAAAAAEA_f8_wAA_g8FAAAAAAAI_gQGAAAAACAALR2W3zs4E0AJSE5QAiqEAhAAGvABfBT8_9z25wHVBcYAxkbpAYEKLf_-EOAAyREE_7T2xADhLff_zfrE__TrD__b_CAAS_bgABHWBQAa4-r_Kfb0_9UH6AAttvQBXPz7AQ8B4v_JBR7_BN0OABbx2v8cHNwA8PMK_Q4S9_4L6bUJH-cYAwX4HQIU7fwE2sgNAc0rC__i9db9_AcCBBbzBPbE_iEB_On3__osCfvwC-oEBs3oBvvgBPo1E-MBEdzrDekT_gLE5f4G7A7y9_wnHAvV9vP1_tIW9dXkAPfrIwoEEe339-0KBQvu_w4TGNcNEAvdDPsOyPz_zgEB_Ojt9_nt-PsPIAAtUCMNOzgTQAlIYVACKnMQABpgDPUAKRUy3rMLHNbpxd_3-fD7nBLI5f_V6f_7CuPdJAPSxwIM_wPKBNWnAAAALO7gABsA63_Dz_MzGvL5yNPlNzNpxTQkmeYQ8LMTFwXfFhwo2u1GAM37ozcs98hH5R8oIAAtlJcaOzgTQAlIb1ACKq8GEAwaoAYAAEBBAABgQQAAhEIAAIjBAAAQQQAAgMAAAADAAABYwgAAIMIAAEhCAACAwAAAAMAAAJzCAABUwgAAkkIAACzCAACwwQAAJMIAALBBAABswgAAcMEAAEDBAAAswgAAREIAAM5CAADAwQAAXMIAANjBAADwQQAAGEIAAFjCAABAQgAAcMEAADRCAAAMwgAAwEAAACzCAADUQgAAIMEAABBBAAAcQgAA6MEAACDBAABAQAAAAMEAAEDAAAA8wgAAoMAAAExCAABQwgAAksIAAKjBAABAwAAAFEIAAMBBAAAgwQAAjMIAAIC_AABMwgAAcEIAAHxCAACAQAAA2MEAAMDBAAAgwQAAQEEAAJBBAACAwAAAmMIAACzCAACcQgAA4EEAAATCAACUQgAAoMAAALbCAADAwQAAmMEAAEBCAACoQQAAQMIAAEBBAAAAQgAAGEIAAIC_AAC4QQAAAMIAAODAAAAQQgAAoMIAAIA_AACoQQAAQMIAAKzCAABgwQAABMIAAChCAACcQgAAXEIAAGjCAAC4wQAAREIAALpCAADKwgAAYMIAAMhBAAC4QQAAuEEAACTCAACAwQAAAAAAAIBBAAAEwgAAyMEAAGRCAAAoQgAAwMAAAIjBAAAwwgAAFMIAAADAAAAgwQAAIEEAAAjCAABgQgAAhEIAAADBAACwwQAAyMEAAEjCAACowQAAAEAAAEBBAACcQgAAKEIAAFDBAABAQAAAMMEAAIBAAACAwgAAIEIAAIA_AABQwQAA-MEAAJhBAAAYwgAAgEAAAABBAAAwwQAAJEIAAFBBAACIQQAAAEEAAGDBAAAQwQAAkEEAAIBAAABwwgAAwMAAAHRCAAAIwgAAgEIAAIDBAACAwQAACMIAADDBAABoQgAAqEEAADBCAACgwQAANMIAAKjBAAAAAAAAgEEAAHBBAABwQQAAKMIAAAjCAABgQQAA4EIAADTCAACEwgAAgMEAAIjBAABwQgAAuMEAAIzCAAB4QgAAgD8AAKhBAABgwQAAMEEAAHBBAACQwQAAMMEAADxCAAAIwgAALEIAAILCAAAUwiAAOBNACUh1UAEqjwIQABqAAgAA7r4AABy-AABsPgAAQDwAAKA8AABsPgAAgDsAACm_AAAkvgAAyL0AAFA9AACIvQAAFD4AABC9AAAEvgAAML0AAIY-AABwPQAAHD4AAPY-AAB_PwAA4LwAAFw-AAA0vgAAor4AABS-AAAMPgAAHL4AAFy-AAA0PgAAtj4AAEy-AADgvAAABD4AABS-AABUPgAAoDwAAIC7AAC2vgAAkr4AAOC8AAAEvgAAiD0AAEC8AACuvgAAmL0AAPo-AAC-vgAANL4AAMq-AAAkvgAAuL0AAI4-AAD4PQAABL4AAFC9AAA5PwAALD4AANi9AAB8PgAAgLsAAAy-AACgvAAAqL0gADgTQAlIfFABKo8CEAEagAIAAIq-AABwPQAAdL4AABm_AACOvgAAiD0AAOI-AAAsvgAAcD0AAMI-AAA0vgAAuL0AAOC8AAC4vQAAEL0AAFA9AACAuwAAAz8AAAS-AADyPgAAbD4AALg9AAB0vgAAQDwAAOC8AAB0PgAAQDwAABw-AABsvgAA4LwAAEA8AAAQPQAAmD0AALa-AAAwvQAAiD0AAKI-AACoPQAAZL4AAIi9AAAsPgAADD4AAHw-AAC4vQAAXD4AAJi9AAB_vwAAQLwAAAS-AACYvQAA-D0AAKA8AACgPAAAqD0AAEw-AAAEPgAAmL0AAKC8AACgvAAAqD0AAKg9AADgPAAAuD0AACQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=iA2bSDXdQE0","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14499593316673765644"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15165358836605342875":{"videoId":"15165358836605342875","docid":"34-5-1-Z6AE431FD5B1061BA","description":"of Computation: • Introduction to Theory of Computation || G... Compiler Design: • Ambiguous Grammar | Introduction to Ambigu... Design and Analysis of Algorithms: • Design and Analysis of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4977285/b213f30d74d517d5d0bfd4d9be85f230/564x318_1"},"target":"_self","position":"18","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOAOc71ngvyk","linkTemplate":"/video/preview/15165358836605342875?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Properties of Group in Discrete Mathematics | Group Theory","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=OAOc71ngvyk\",\"src\":\"serp\",\"rvb\":\"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_E5sHggQkAYAEKyqLARABGniB_v4BCPsFAPz5BgcCB_0CBAAAAvn__gD6Bv_1AgT-APbxCfz-AAAA-gr7AwIAAAD1BQMI_AAAAAYD_QEEAAAAGAL9APgAAAANF_sC_gEAAPb-AwQDAAAABQEA_f8AAAD7_QL9_f8AAPkP_QYAAAAACP4EBgAAAAAgAC15oOI7OBNACUhOUAIqcxAAGmDOCwAVGy74xTtP2qztuQAJ9RTJ-Mvx_-Hm_-4iyNkM-NDlBP7_JKX92qYAAAARF_ICLADLefLVqzUwOBPSz_waOH_uMc3OEPTtxCf4_uQw7x_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_AACAwAAAMEEAALhBAABQQQAASEIAABzCAABAQAAAYEEAABBCAACIQQAAIEEAALbCAACAQAAApkIAAJDBAAC4QQAAMEEAACjCAACwwQAACMIAADRCAAAAwAAAOEIAAODAAABEwgAAgEEAABzCAACAvwAAEMEAAChCAACIwgAAMMIAABhCAACIQgAAuEEAAABBAACAPwAAUMIAACBCAAAIwgAAyMEAAHBCAAAMwgAAIEEAANjBAADYQQAAiEIAALhBAAAwwQAAMEEAAJzCAABAwAAAeMIAACjCIAA4E0AJSHVQASqPAhAAGoACAAAVvwAAsr4AAIg9AAAwPQAAiL0AAAk_AACgPAAAY78AADy-AAAcvgAA-D0AAKC8AAA0PgAAEL0AAAS-AACYPQAApj4AAJg9AABUPgAA_j4AAH8_AACgvAAA7j4AAJK-AACyvgAAoDwAAIg9AAAsvgAAPL4AABA9AAABPwAAXL4AAEy-AABsPgAAEL0AAFw-AAAwPQAAyL0AAKK-AACivgAAED0AAIK-AADYPQAAPD4AAI6-AABsvgAAbD4AALK-AACovQAAur4AAPi9AABMvgAA-D0AANg9AACSPgAA4DwAAGc_AAAsPgAAcL0AAIC7AACAuwAA-L0AAEC8AAAsviAAOBNACUh8UAEqjwIQARqAAgAAFL4AAJi9AABMvgAAF78AAFS-AABQPQAArj4AAES-AACAuwAArj4AAOA8AACYvQAAMD0AABy-AAAQPQAAoDwAAIg9AAAZPwAAmL0AAP4-AABUPgAA-D0AAAy-AABAPAAAcD0AAJg9AABQPQAAND4AAGy-AACgPAAAmD0AAOA8AABQPQAAfL4AAAQ-AABQvQAALD4AAEw-AACivgAA4DwAAHw-AAAwPQAALD4AAMi9AAAkPgAABL4AAH-_AACAOwAADL4AABS-AACYPQAAyD0AAKC8AACAOwAAND4AANg9AACIvQAAJD4AAIC7AABQPQAA6D0AADw-AAD4PQAA6D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=OAOc71ngvyk","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15165358836605342875"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16043474380469856326":{"videoId":"16043474380469856326","docid":"34-7-8-Z6BC31714EFBD80EF","description":"Subject - Discrete Mathematics Video Name - Abelian Group Problem 4 Chapter - Algebraic Structures Faculty - Prof. Farhan Meer Upskill and get Placements with Ekeeda Career Tracks Data Science...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4143317/6ab4fa7ac95004f5267462c5457f2945/564x318_1"},"target":"_self","position":"19","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJbbe2MD8Rts","linkTemplate":"/video/preview/16043474380469856326?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Abelian Group Problem 4 - Algebraic Structures - Discrete Mathematics","related_orig_text":"IBS Discrete Mathematics Group","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"IBS Discrete Mathematics Group\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Jbbe2MD8Rts\",\"src\":\"serp\",\"rvb\":\"Eq8DChQxMzc1MjUwMDI1MzQxNjY1MzQzOQoUMTMwNDc1ODc0MzMxODE0ODczNTgKFDE2MzMwODkzNTkzNjQ1MDQ0MTQ4ChQxNjAxNDg3MDA5MDM3Mzk3OTE1NwoTODkyNDMwMDQwMzI5MzE5MzE5NQoTMTgwMDU1Njk4OTI0NjAxNzE1NgoUMTA5Mzg5NzUwMDk4NTU0MjcxODUKFDE0NjAyMTIzNzczMjUwMzU3MTU5ChQxMzMwOTA0MjU1NTgyNTgwOTU1MgoTMTMxNjUyNzYxNjc3NzI0ODQ2NwoTODY2ODc0NDI1NjE2OTc0OTk3MQoTNzE1MTgwODc1NzkxNDUzMzEzMAoUMTA0OTc1Mzk3MzQ0MjE3MjM4MDUKEzk1NTIyNDI0OTQ4Mzg4ODkzNDcKEzExNTgxNTI3Nzc4NDc0NDkzMzMKFDE0NDk5NTkzMzE2NjczNzY1NjQ0ChQxNTE2NTM1ODgzNjYwNTM0Mjg3NQoUMTYwNDM0NzQzODA0Njk4NTYzMjYKEzQ3MTQ5ODA1NDMwNzIxMzA2NjMKEzM5MTI1NTg4OTg1NjkxNzE5OTYaFgoUMTYwNDM0NzQzODA0Njk4NTYzMjZaFDE2MDQzNDc0MzgwNDY5ODU2MzI2aq8NEgEwGAAiRRoxAAoqaGhmcWVleG5rcm9icXFiY2hoVUNsdFZFWjZHZWNXbnRvWjE5RnZhV2hREgIAEioQwg8PGg8_E6wDggQkAYAEKyqLARABGniBBgf5BAP9AAP0-gkHCfsCAAT_9_j-_gD6B__zAgT-APfr_gcIAAAA-Qv7AwIAAAD28v0K9_8BAAr89wUDAAAAIg38-PsAAAAOB__6_gEAAPT6_vwDAAAADgkBBQAAAADzDPfzAP8AAAEZAfUAAAAAAAcBBw___AAgAC0xgso7OBNACUhOUAIqcxAAGmDOCwA2NhP3wkBR49zwo_svBePDCNn6_8zS__AnAr0L5t_O7Rz_IdcE2p8AAAAKBcoKOwDYf7it6RcgzvvgBgIWK3DRQQGqXO4X5Tc55vjeGRjs91wAtvvvH1DWywL9-fwgAC27qxQ7OBNACUhvUAIqrwYQDBqgBgAAMEEAAOjBAACCQgAAkMEAAMjBAAD4wQAAnkIAAADCAACUwgAAJMIAAMDAAAAsQgAAyMEAABBBAAAcQgAA2EEAAJJCAABYwgAAIEIAABDBAAC4wQAAUEEAAIrCAABsQgAAnEIAABTCAAAAwQAAuMEAABxCAAD4QQAAWMIAANDBAADYQQAAEEEAALLCAABAwAAAsEEAAExCAADAwQAAIEIAAODAAABAwgAAXMIAABTCAADgQQAAEMEAAMDBAACYwQAAxEIAAADAAADgQAAACMIAAAAAAABAQQAACEIAAIA_AACcwgAAwEAAAIA_AABwQQAAkkIAAFBCAACMwgAAmMEAAKBAAABAwgAAAEEAALLCAAC4wQAAMEEAABhCAADYwQAAFMIAADBCAAAQQgAAeMIAAJTCAAD4wQAAAEEAAJhBAAAYwgAAaEIAAADAAAAwwQAAgEEAAM5CAAAUwgAAgEAAAGhCAACowQAAYEIAAEDBAABAQgAAwMAAAHDBAABkwgAADEIAACTCAAB0QgAAJEIAAKBAAACGQgAAIEEAAJzCAACAPwAAQEAAAEhCAACkQgAAqMEAAJpCAAAgwQAALEIAAIhBAACQQQAAAEIAAFxCAACeQgAAmEEAAIjBAABYwgAAcEEAABTCAADIQQAALMIAADBBAADwwQAAAEEAAKLCAADwwQAACMIAADDBAADQwQAA4EEAAGRCAAAwwQAAEMEAAERCAADAwAAAAAAAAIrCAAAAQAAA0EEAAIJCAADAQAAAsEEAAERCAAAEwgAAAAAAAOhBAACAwAAAoEAAAETCAAAgQgAAEEIAAEBAAAAQwgAANMIAADBBAABAwAAAuEIAAEDCAAAAQAAA4MAAAKBAAADQQQAAEMEAAJBBAACoQQAAMEEAAETCAACAvwAAuEEAANhBAACAwQAAokIAAOhBAAC4QQAAMMIAAEDAAABIQgAARMIAADTCAABAwQAAUMEAAJ5CAACewgAAYMIAAHRCAACgQAAAAMIAADBBAAAEwgAA6EEAAOhBAAAQwQAAoEAAAGDBAACgQAAAAEAAAATCIAA4E0AJSHVQASqPAhAAGoACAADIvQAAPD4AAGQ-AACYPQAABL4AAEw-AAAQvQAACb8AAFS-AAAQvQAAcD0AAIC7AAA8PgAAiL0AAFy-AACCvgAAhj4AAIC7AABEPgAA9j4AAH8_AABwPQAAkj4AAOi9AAD4vQAARL4AAIg9AACgPAAAVL4AABQ-AAB0PgAAHL4AAHA9AACaPgAAoLwAAOA8AACoPQAAmL0AALa-AACevgAATL4AAPg9AAAkPgAAyL0AAGS-AABQvQAAoj4AAJK-AABQvQAAJL4AAOC8AAAQPQAADD4AAAQ-AACIPQAAqL0AAAc_AACgPAAAmL0AAJg9AACYvQAAEL0AAAQ-AACgvCAAOBNACUh8UAEqjwIQARqAAgAAXL4AAHA9AABMvgAANb8AAEy-AAAcPgAAND4AAHC9AABwvQAA1j4AAIi9AABwvQAAqL0AAMi9AACYPQAAiL0AALi9AAAhPwAABL4AAN4-AAC4PQAADL4AAIA7AABwvQAA4DwAACQ-AAAEvgAA2D0AAKC8AACovQAAUL0AAIi9AAAUPgAAmr4AABw-AACAOwAARD4AAOg9AAAMvgAAQLwAANg9AACAuwAABD4AAPi9AABQPQAA4LwAAH-_AACoPQAABL4AAOA8AACgPAAA-L0AAPg9AAAkPgAAgLsAAHA9AACgvAAAML0AADA9AABAvAAAyD0AALg9AAA8PgAAPD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Jbbe2MD8Rts","parent-reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16043474380469856326"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"13752500253416653439":{"videoId":"13752500253416653439","title":"\u0007[Group\u0007] in \u0007[discrete\u0007] \u0007[mathematics\u0007] | \u0007[Group\u0007] Theory | \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Group in discrete mathematics | Group Theory | Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=a2y51o9X4mo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/a2y51o9X4mo?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":630,"text":"10:30","a11yText":"Süre 10 dakika 30 saniye","shortText":"10 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"13 eyl 2023","modifyTime":1694563200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/a2y51o9X4mo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=a2y51o9X4mo","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":630},"parentClipId":"13752500253416653439","href":"/preview/13752500253416653439?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/13752500253416653439?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13047587433181487358":{"videoId":"13047587433181487358","title":"\u0007[Group\u0007] || \u0007[group\u0007] theory || abstract algebra || \u0007[discrete\u0007] \u0007[mathematics\u0007] || dms || mfcs","cleanTitle":"Group || group theory || abstract algebra || discrete mathematics || dms || mfcs","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LAKzXSikvSw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LAKzXSikvSw?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":"d3d3LnlvdXR1YmUuY29tO1VDT1JMZUNVQ0RZajllVmhWZG5mNHB6Zw==","name":"DIVVELA SRINIVASA RAO","isVerified":false,"subscribersCount":0,"url":"/video/search?text=DIVVELA+SRINIVASA+RAO","origUrl":"http://www.youtube.com/@DIVVELASRINIVASARAO","a11yText":"DIVVELA SRINIVASA RAO. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":732,"text":"12:12","a11yText":"Süre 12 dakika 12 saniye","shortText":"12 dk."},"views":{"text":"27,2bin","a11yText":"27,2 bin izleme"},"date":"1 kas 2019","modifyTime":1572566400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LAKzXSikvSw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LAKzXSikvSw","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":732},"parentClipId":"13047587433181487358","href":"/preview/13047587433181487358?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/13047587433181487358?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16330893593645044148":{"videoId":"16330893593645044148","title":"\u0007[Group\u0007] Theory | Properties Of \u0007[Groups\u0007] | \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Group Theory | Properties Of Groups | Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/live/9IVYVtAuuQs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9IVYVtAuuQs?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":1597,"text":"26:37","a11yText":"Süre 26 dakika 37 saniye","shortText":"26 dk."},"views":{"text":"749,9bin","a11yText":"749,9 bin izleme"},"date":"10 şub 2020","modifyTime":1581292800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9IVYVtAuuQs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9IVYVtAuuQs","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1597},"parentClipId":"16330893593645044148","href":"/preview/16330893593645044148?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/16330893593645044148?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16014870090373979157":{"videoId":"16014870090373979157","title":"Abelian \u0007[Group\u0007] in \u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Group\u0007] Theory","cleanTitle":"Abelian Group in Discrete Mathematics | Group Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7ELdR0YBlbI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7ELdR0YBlbI?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":579,"text":"9:39","a11yText":"Süre 9 dakika 39 saniye","shortText":"9 dk."},"views":{"text":"3,2bin","a11yText":"3,2 bin izleme"},"date":"18 eyl 2023","modifyTime":1694995200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7ELdR0YBlbI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7ELdR0YBlbI","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":579},"parentClipId":"16014870090373979157","href":"/preview/16014870090373979157?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/16014870090373979157?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8924300403293193195":{"videoId":"8924300403293193195","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007] 04 | \u0007[Group\u0007] Theory | CS & IT | GATE 2025 Crash Course","cleanTitle":"Discrete Mathematics 04 | Group Theory | CS & IT | GATE 2025 Crash Course","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Lc_c0-ZOywQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Lc_c0-ZOywQ?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":"d3d3LnlvdXR1YmUuY29tO1VDdUdXSWtpTmFXanNDcXliZ3hHdXhmZw==","name":"GATE Wallah - EE, EC, CS & IN","isVerified":true,"subscribersCount":0,"url":"/video/search?text=GATE+Wallah+-+EE%2C+EC%2C+CS+%26+IN","origUrl":"http://www.youtube.com/@gatewallah_ee_ec_cs_in","a11yText":"GATE Wallah - EE, EC, CS & IN. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":9493,"text":"2:38:13","a11yText":"Süre 2 saat 38 dakika 13 saniye","shortText":"2 sa. 38 dk."},"views":{"text":"7,5bin","a11yText":"7,5 bin izleme"},"date":"20 ara 2024","modifyTime":1734667268000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Lc_c0-ZOywQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Lc_c0-ZOywQ","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":9493},"parentClipId":"8924300403293193195","href":"/preview/8924300403293193195?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/8924300403293193195?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1800556989246017156":{"videoId":"1800556989246017156","title":"Semigroup in \u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Group\u0007] Theory","cleanTitle":"Semigroup in Discrete Mathematics | Group Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uHYfUnlGGCo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uHYfUnlGGCo?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":536,"text":"8:56","a11yText":"Süre 8 dakika 56 saniye","shortText":"8 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"21 ağu 2023","modifyTime":1692576000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uHYfUnlGGCo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uHYfUnlGGCo","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":536},"parentClipId":"1800556989246017156","href":"/preview/1800556989246017156?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/1800556989246017156?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10938975009855427185":{"videoId":"10938975009855427185","title":"\u0007[Discrete\u0007] \u0007[mathematics\u0007] | \u0007[Group\u0007] Theory | Algebraic Structure with example","cleanTitle":"Discrete mathematics | Group Theory | Algebraic Structure with example","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=UATnzcV-gnU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/UATnzcV-gnU?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":"d3d3LnlvdXR1YmUuY29tO1VDdU9HOVozM0NMbjZ6WmxNTVV4Z0lQUQ==","name":"Avinash Kokare - CS-IT Tutorials","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Avinash+Kokare+-+CS-IT+Tutorials","origUrl":"http://www.youtube.com/@avinashkokare27","a11yText":"Avinash Kokare - CS-IT Tutorials. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":240,"text":"4:00","a11yText":"Süre 4 dakika","shortText":"4 dk."},"date":"28 eyl 2019","modifyTime":1569628800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/UATnzcV-gnU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=UATnzcV-gnU","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":240},"parentClipId":"10938975009855427185","href":"/preview/10938975009855427185?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/10938975009855427185?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14602123773250357159":{"videoId":"14602123773250357159","title":"\u0007[Discrete\u0007] \u0007[Mathematics\u0007]| Ma3354|Unit4|Algebraic Structures|\u0007[Groups\u0007], Semi \u0007[groups\u0007], Monoids...","cleanTitle":"Discrete Mathematics| Ma3354|Unit4|Algebraic Structures|Groups, Semi groups, Monoids & Abelian Group","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iehK3Z3j1VI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iehK3Z3j1VI?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":"d3d3LnlvdXR1YmUuY29tO1VDOEdENGFrb2ZVc096Z05wYWlBaXNkUQ==","name":"Mathematics Kala","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Kala","origUrl":"http://www.youtube.com/@mathematicskala","a11yText":"Mathematics Kala. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1615,"text":"26:55","a11yText":"Süre 26 dakika 55 saniye","shortText":"26 dk."},"views":{"text":"77bin","a11yText":"77 bin izleme"},"date":"13 ara 2023","modifyTime":1702425600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iehK3Z3j1VI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iehK3Z3j1VI","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1615},"parentClipId":"14602123773250357159","href":"/preview/14602123773250357159?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/14602123773250357159?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13309042555825809552":{"videoId":"13309042555825809552","title":"Subgroup in \u0007[Group\u0007] Theory | \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Subgroup in Group Theory | Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qrvTABb0FvU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qrvTABb0FvU?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1375,"text":"22:55","a11yText":"Süre 22 dakika 55 saniye","shortText":"22 dk."},"views":{"text":"3,3bin","a11yText":"3,3 bin izleme"},"date":"2 ara 2023","modifyTime":1701475200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qrvTABb0FvU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qrvTABb0FvU","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1375},"parentClipId":"13309042555825809552","href":"/preview/13309042555825809552?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/13309042555825809552?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1316527616777248467":{"videoId":"1316527616777248467","title":"\u0007[Group\u0007] in \u0007[discrete\u0007] \u0007[mathematics\u0007] | what is \u0007[Group\u0007] in \u0007[discrete\u0007] \u0007[mathematics\u0007]| Semig...","cleanTitle":"Group in discrete mathematics | what is Group in discrete mathematics| Semigroup monoid abelian","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WpLKjOABtEU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WpLKjOABtEU?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":"d3d3LnlvdXR1YmUuY29tO1VDZG0yR1pTa1paaDgyNFBwcGFNeGk0UQ==","name":"Sandeep Kumar Gour","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Sandeep+Kumar+Gour","origUrl":"http://www.youtube.com/@SandeepKumarGour","a11yText":"Sandeep Kumar Gour. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1359,"text":"22:39","a11yText":"Süre 22 dakika 39 saniye","shortText":"22 dk."},"views":{"text":"52,4bin","a11yText":"52,4 bin izleme"},"date":"22 mayıs 2021","modifyTime":1621641600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WpLKjOABtEU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WpLKjOABtEU","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1359},"parentClipId":"1316527616777248467","href":"/preview/1316527616777248467?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/1316527616777248467?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8668744256169749971":{"videoId":"8668744256169749971","title":"Semi \u0007[Group\u0007] in Algebraic Systems || \u0007[Discrete\u0007] \u0007[Mathematics\u0007] Structures","cleanTitle":"Semi Group in Algebraic Systems || Discrete Mathematics Structures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rpN0UQ75OLk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rpN0UQ75OLk?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":"d3d3LnlvdXR1YmUuY29tO1VDRHhOb2FIT2oybDJiRnJIZ0NrZzZadw==","name":"Sudhakar Atchala","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Sudhakar+Atchala","origUrl":"http://www.youtube.com/@SudhakarAtchala","a11yText":"Sudhakar Atchala. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":406,"text":"6:46","a11yText":"Süre 6 dakika 46 saniye","shortText":"6 dk."},"views":{"text":"39,1bin","a11yText":"39,1 bin izleme"},"date":"6 şub 2022","modifyTime":1644105600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rpN0UQ75OLk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rpN0UQ75OLk","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":406},"parentClipId":"8668744256169749971","href":"/preview/8668744256169749971?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/8668744256169749971?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7151808757914533130":{"videoId":"7151808757914533130","title":"\u0007[Group\u0007] Theory | Subgroup | Subgroup Examples | \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Group Theory | Subgroup | Subgroup Examples | Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rONgcxp-Y8w","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rONgcxp-Y8w?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":742,"text":"12:22","a11yText":"Süre 12 dakika 22 saniye","shortText":"12 dk."},"views":{"text":"414,3bin","a11yText":"414,3 bin izleme"},"date":"14 şub 2020","modifyTime":1581638400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rONgcxp-Y8w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rONgcxp-Y8w","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":742},"parentClipId":"7151808757914533130","href":"/preview/7151808757914533130?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/7151808757914533130?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10497539734421723805":{"videoId":"10497539734421723805","title":"\u0007[Discrete\u0007] \u0007[mathematics\u0007]| \u0007[Group\u0007] theory: Introduction","cleanTitle":"Discrete mathematics| Group theory: Introduction","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8HIcaTw3VN0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8HIcaTw3VN0?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":"d3d3LnlvdXR1YmUuY29tO1VDdU9HOVozM0NMbjZ6WmxNTVV4Z0lQUQ==","name":"Avinash Kokare - CS-IT Tutorials","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Avinash+Kokare+-+CS-IT+Tutorials","origUrl":"http://www.youtube.com/@avinashkokare27","a11yText":"Avinash Kokare - CS-IT Tutorials. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":167,"text":"2:47","a11yText":"Süre 2 dakika 47 saniye","shortText":"2 dk."},"views":{"text":"2,4bin","a11yText":"2,4 bin izleme"},"date":"7 eki 2019","modifyTime":1570406400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8HIcaTw3VN0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8HIcaTw3VN0","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":167},"parentClipId":"10497539734421723805","href":"/preview/10497539734421723805?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/10497539734421723805?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9552242494838889347":{"videoId":"9552242494838889347","title":"Properties of \u0007[Group\u0007] in \u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Group\u0007] Theory","cleanTitle":"Properties of Group in Discrete Mathematics | Group Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8oZGL_LrJv0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8oZGL_LrJv0?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1215,"text":"20:15","a11yText":"Süre 20 dakika 15 saniye","shortText":"20 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"25 eyl 2023","modifyTime":1695665689000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8oZGL_LrJv0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8oZGL_LrJv0","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1215},"parentClipId":"9552242494838889347","href":"/preview/9552242494838889347?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/9552242494838889347?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1158152777847449333":{"videoId":"1158152777847449333","title":"Abelian \u0007[Group\u0007] Problem 1 - Algebraic Structures - \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Abelian Group Problem 1 - Algebraic Structures - Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6jX4yuQgxmQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6jX4yuQgxmQ?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":706,"text":"11:46","a11yText":"Süre 11 dakika 46 saniye","shortText":"11 dk."},"views":{"text":"87,7bin","a11yText":"87,7 bin izleme"},"date":"8 nis 2022","modifyTime":1649376000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6jX4yuQgxmQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6jX4yuQgxmQ","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":706},"parentClipId":"1158152777847449333","href":"/preview/1158152777847449333?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/1158152777847449333?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14499593316673765644":{"videoId":"14499593316673765644","title":"\u0007[Group\u0007] Theory | Examples of \u0007[Group\u0007] & Abelian \u0007[Group\u0007] | \u0007[Discrete\u0007] \u0007[Mathematics\u0007] bsc ba \u0007...","cleanTitle":"Group Theory | Examples of Group & Abelian Group | Discrete Mathematics bsc ba mathematics CSIR net","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iA2bSDXdQE0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iA2bSDXdQE0?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":"d3d3LnlvdXR1YmUuY29tO1VDNzVBSFZzZk92Si1KcEZfX1dWZE5NUQ==","name":"KEEP LEARNING WITH AMRESH KUMAR","isVerified":false,"subscribersCount":0,"url":"/video/search?text=KEEP+LEARNING+WITH+AMRESH+KUMAR","origUrl":"http://www.youtube.com/@KEEPLEARNINGWITHAMRESHKUMAR","a11yText":"KEEP LEARNING WITH AMRESH KUMAR. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1906,"text":"31:46","a11yText":"Süre 31 dakika 46 saniye","shortText":"31 dk."},"date":"28 haz 2019","modifyTime":1561680000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iA2bSDXdQE0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iA2bSDXdQE0","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":1906},"parentClipId":"14499593316673765644","href":"/preview/14499593316673765644?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/14499593316673765644?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15165358836605342875":{"videoId":"15165358836605342875","title":"Properties of \u0007[Group\u0007] in \u0007[Discrete\u0007] \u0007[Mathematics\u0007] | \u0007[Group\u0007] Theory","cleanTitle":"Properties of Group in Discrete Mathematics | Group Theory","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=OAOc71ngvyk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/OAOc71ngvyk?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":"d3d3LnlvdXR1YmUuY29tO1VDQkd2RWtsS2RZX2JNcDkwUWZfdUk3dw==","name":"THE GATEHUB","isVerified":false,"subscribersCount":0,"url":"/video/search?text=THE+GATEHUB","origUrl":"http://www.youtube.com/@THEGATEHUB","a11yText":"THE GATEHUB. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":923,"text":"15:23","a11yText":"Süre 15 dakika 23 saniye","shortText":"15 dk."},"views":{"text":"4,6bin","a11yText":"4,6 bin izleme"},"date":"22 eyl 2023","modifyTime":1695340800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/OAOc71ngvyk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=OAOc71ngvyk","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":923},"parentClipId":"15165358836605342875","href":"/preview/15165358836605342875?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/15165358836605342875?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16043474380469856326":{"videoId":"16043474380469856326","title":"Abelian \u0007[Group\u0007] Problem 4 - Algebraic Structures - \u0007[Discrete\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Abelian Group Problem 4 - Algebraic Structures - Discrete Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Jbbe2MD8Rts","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Jbbe2MD8Rts?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":428,"text":"7:08","a11yText":"Süre 7 dakika 8 saniye","shortText":"7 dk."},"views":{"text":"13,1bin","a11yText":"13,1 bin izleme"},"date":"8 nis 2022","modifyTime":1649376000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Jbbe2MD8Rts?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Jbbe2MD8Rts","reqid":"1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL","duration":428},"parentClipId":"16043474380469856326","href":"/preview/16043474380469856326?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","rawHref":"/video/preview/16043474380469856326?parent-reqid=1765328597622425-290564717843393926-balancer-l7leveler-kubr-yp-sas-222-BAL&text=IBS+Discrete+Mathematics+Group","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":"2905647178433939267222","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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":"IBS Discrete Mathematics Group","queryUriEscaped":"IBS%20Discrete%20Mathematics%20Group","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"}}}