{"pages":{"search":{"query":"Mathematics Analysis","originalQuery":"Mathematics Analysis","serpid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","parentReqid":"","serpItems":[{"id":"11988943573677346350-0-0","type":"videoSnippet","props":{"videoId":"11988943573677346350"},"curPage":0},{"id":"826653010435925907-0-1","type":"videoSnippet","props":{"videoId":"826653010435925907"},"curPage":0},{"id":"8901107263072764851-0-2","type":"videoSnippet","props":{"videoId":"8901107263072764851"},"curPage":0},{"id":"4679888447612364958-0-3","type":"videoSnippet","props":{"videoId":"4679888447612364958"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGhlbWF0aWNzIEFuYWx5c2lzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","ui":"desktop","yuid":"4576416861774012779"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"11507936611055235977-0-5","type":"videoSnippet","props":{"videoId":"11507936611055235977"},"curPage":0},{"id":"10091786605962673758-0-6","type":"videoSnippet","props":{"videoId":"10091786605962673758"},"curPage":0},{"id":"18401426668660020152-0-7","type":"videoSnippet","props":{"videoId":"18401426668660020152"},"curPage":0},{"id":"1924373207325954551-0-8","type":"videoSnippet","props":{"videoId":"1924373207325954551"},"curPage":0},{"id":"5552146226293331528-0-9","type":"videoSnippet","props":{"videoId":"5552146226293331528"},"curPage":0},{"id":"10203754293402798108-0-10","type":"videoSnippet","props":{"videoId":"10203754293402798108"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGhlbWF0aWNzIEFuYWx5c2lzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","ui":"desktop","yuid":"4576416861774012779"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"8705908052642406455-0-12","type":"videoSnippet","props":{"videoId":"8705908052642406455"},"curPage":0},{"id":"1004393986377245047-0-13","type":"videoSnippet","props":{"videoId":"1004393986377245047"},"curPage":0},{"id":"12923638403247838310-0-14","type":"videoSnippet","props":{"videoId":"12923638403247838310"},"curPage":0},{"id":"15860498510847744174-0-15","type":"videoSnippet","props":{"videoId":"15860498510847744174"},"curPage":0},{"id":"16261051200182209531-0-16","type":"videoSnippet","props":{"videoId":"16261051200182209531"},"curPage":0},{"id":"13513709257048193164-0-17","type":"videoSnippet","props":{"videoId":"13513709257048193164"},"curPage":0},{"id":"1909881461452136595-0-18","type":"videoSnippet","props":{"videoId":"1909881461452136595"},"curPage":0},{"id":"8478776845395295137-0-19","type":"videoSnippet","props":{"videoId":"8478776845395295137"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dE1hdGhlbWF0aWNzIEFuYWx5c2lzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","ui":"desktop","yuid":"4576416861774012779"}}},"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%3DMathematics%2BAnalysis","pages":[{"reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9890601421306104137312","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":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_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"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,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"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,"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":0,"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":["1506054,0,59;1469659,0,38;1414492,0,28;1480629,0,6;1500300,0,9;1490007,0,94;1152684,0,96;1499486,0,80;1504482,0,88;1511955,0,80;1511562,0,36;1506792,0,60;1515350,0,89;1484367,0,82;1501448,0,30;1507234,0,68;1512225,0,1;1373787,0,57;1509935,0,87;1503897,0,51;1349071,0,5;260563,0,93;1510898,0,1;1505696,0,31;32741,0,58;912217,0,26;1297912,0,29;1510433,0,26;1510733,0,54;124080,0,27;1060666,0,36;850909,0,90;151171,0,43;1281084,0,51;287509,0,64;1447467,0,33;1006734,0,35;1482979,0,10;1476845,0,81"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematics%2BAnalysis","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Mathematics+Analysis","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":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Mathematics+Analysis","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathematics Analysis: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Mathematics Analysis\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Mathematics Analysis — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yc8930b3e19a1a7a041d7cd3d0d1ba8a2","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1506054,1469659,1414492,1480629,1500300,1490007,1152684,1499486,1504482,1511955,1511562,1506792,1515350,1484367,1501448,1507234,1512225,1373787,1509935,1503897,1349071,260563,1510898,1505696,32741,912217,1297912,1510433,1510733,124080,1060666,850909,151171,1281084,287509,1447467,1006734,1482979,1476845","queryText":"Mathematics Analysis","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4576416861774012779","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1774012788","tz":"America/Louisville","to_iso":"2026-03-20T09:19:48-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-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":"1506054,1469659,1414492,1480629,1500300,1490007,1152684,1499486,1504482,1511955,1511562,1506792,1515350,1484367,1501448,1507234,1512225,1373787,1509935,1503897,1349071,260563,1510898,1505696,32741,912217,1297912,1510433,1510733,124080,1060666,850909,151171,1281084,287509,1447467,1006734,1482979,1476845","queryText":"Mathematics Analysis","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4576416861774012779","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":"9890601421306104137312","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":159,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"4576416861774012779","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1789.0__a54458435e95c7f94a27e48435bcb29ff3004996","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"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","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"11988943573677346350":{"videoId":"11988943573677346350","docid":"34-3-0-Z6DF2746035130CE9","description":"6) KPSS Mathematics - Analysis I - Güven Göllüoğlu - 2026 Türkiye's Most Comprehensive Education Portal Hoca Kafası Publications Social Media Accounts: / hocakafasiofficial / hocakafasiakademi...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/397852/595c3f831f7b4b5cb51d2dc0922556e6/564x318_1"},"target":"_self","position":"0","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfVJ2layejK4","linkTemplate":"/video/preview/11988943573677346350?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"6) KPSS Mathematics - Analysis I - Güven Göllüoğlu - 2026","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fVJ2layejK4\",\"src\":\"serp\",\"rvb\":\"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_E74IggQkAYAEKyqLARABGniB9voC_gEAAPEJ_QoRBPwBDQb_AvYAAAD0BvX99QL_AOj5AwcJ_wAA8Q_3B_wAAAD7AwQF9f4BAA0D-BADAAAADPf_7wAAAAAOGfoC_gEAAPcK_vwDAAAAEwQB_f8AAAAJAQv0__8AAAYN-QMBAAAABfz5_gAAAAAgAC2tPtE7OBNACUhOUAIqcxAAGmDw8AA4BBvVvwD3EAn0DPDqCs3r9KgK_-IjAMcb2rMJUunZ_iIAPscT9aMAAAAi7hzx8gD5c7_l7ggKLx_0zf0o6GY5-9Pq5t78CQj_9ukuM_zKBC8A5PPe_wbNsX8rZT4gAC2aOyA7OBNACUhvUAIqrwYQDBqgBgAAQEAAAODBAACYQgAAAAAAACTCAAAUQgAAAMAAAADBAAAQQgAAQMEAADDBAAAAQAAAmsIAABjCAADwQQAAQMEAAJDBAAAgwQAAAMAAAKTCAAAgwQAABMIAACDBAACwwQAAQEEAANjBAAC6wgAAlsIAAGxCAACQQQAA8EEAAGRCAABwwgAAKMIAAFBBAAAQQQAAJEIAABhCAAAgQQAAYMEAAJhBAAAAwAAAgMAAABxCAACyQgAAJMIAAFjCAACQwQAAtkIAACRCAACAwAAA4MEAACBBAAAAQAAAgEAAAKBAAABgwgAAmEEAADzCAADoQQAAuEEAAABBAABAQAAASMIAAKDBAABwQQAAfEIAACDBAAAswgAAQMEAAChCAABAwQAABMIAAJpCAABAQAAAgEEAAIA_AADwwQAA4MAAAGDBAADgwAAALMIAAHBBAAAcQgAAqMEAAKBAAAAUwgAANMIAAIpCAADQQQAApMIAAAxCAABkwgAAiEEAAIrCAAB0wgAAQEAAAODAAAAoQgAA0MEAANjBAACIQgAAcEIAAMbCAACQwgAAQMEAAABAAACAwAAA8MEAAHBBAACgQgAAMEEAAK7CAACAQAAA_kIAALjBAAAgwQAAUEEAAMBAAADgQAAAIMEAAAAAAACAQAAANMIAAPhBAAC0QgAAPMIAAFDBAADgQAAAhMIAAADBAAAwwgAAkkIAAFxCAADYQQAA4EAAAHzCAABkwgAA6EEAADjCAACwQQAAYEEAAIA_AAAAwQAA8EEAAFBCAADgQQAAIEIAAADCAACQQQAA4MAAAIA_AABwQQAAgsIAAERCAACMQgAAwMAAAIzCAACIQQAArEIAADDBAAAsQgAAQEAAAODBAAAQQQAAUEEAAIhCAACYQQAAokIAAABBAACCwgAAoMAAAIDBAADIwQAA4MAAAOBAAADAwAAAEEEAADhCAAAgQgAAQMEAACTCAADQQQAAgEAAAIjBAAC2wgAAmMIAAKDAAABAwQAA0MEAAADCAAC4QQAAgD8AAABCAAAAQAAAYEEAAEDBAAAYwgAA4MAAAADCIAA4E0AJSHVQASqPAhAAGoACAABUvgAA4DwAAEA8AACovQAAir4AAEw-AAAMvgAAEb8AABC9AACoPQAATL4AAOA8AAAwPQAAnj4AAES-AADovQAAdD4AAKA8AACCPgAApj4AAH8_AAAMvgAACT8AAOg9AAD4vQAAmD0AADQ-AACqPgAAFL4AACy-AAAUPgAANL4AADw-AABAPAAAML0AAKg9AAB0PgAAuL0AAOa-AADavgAAcL0AADS-AACAOwAAML0AAIC7AAAQvQAA6D0AAHS-AADYvQAAuL0AAFw-AAAkvgAAdD4AAIA7AAD4vQAA4DwAAD0_AACuPgAAyL0AAEQ-AACAuwAAcL0AALg9AACAuyAAOBNACUh8UAEqjwIQARqAAgAAPL4AAFQ-AAC4PQAAJ78AAKA8AAAsPgAABD4AADA9AABAPAAAuD0AAEC8AAD4vQAANL4AAFS-AACgPAAAcD0AAEC8AAA1PwAANL4AAJI-AACAuwAAFL4AADS-AAC4vQAAEL0AAIC7AABwvQAAoDwAAPi9AADgvAAA4DwAALg9AAAQPQAAED0AAAw-AACgvAAAcD0AAFC9AACWvgAAmL0AAJi9AADYvQAAcD0AAMi9AAAkvgAA4LwAAH-_AABQPQAAQLwAADC9AACYPQAAUD0AAEC8AACIPQAAyD0AABA9AACAOwAA-D0AAMg9AACCPgAAgLsAAJ6-AACYPQAAlj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=fVJ2layejK4","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11988943573677346350"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"826653010435925907":{"videoId":"826653010435925907","docid":"34-0-3-ZC992FA25261E1EC7","description":"The second class in Dr Joel Feinstein's G12man Mathematical Analysis module covers a revision of notation: sets, subsets, intersections and unions of finitely many sets. Further module materials...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/404434/9cdf4c192c735b9d144919c631763f3b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/AyV9TgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPiaPIleRhgQ","linkTemplate":"/video/preview/826653010435925907?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 1: Math. Analysis","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PiaPIleRhgQ\",\"src\":\"serp\",\"rvb\":\"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_xWCBCQBgAQrKosBEAEaeIHuAfn9_AUA-f75BAwF_QEJCP_49wAAAAII-_3_BP4A_fYGAwIAAAATE_gB_gAAAA7-8Qn__gEABAT4BwQAAAATCwAB_gAAAA4L_AP-AQAA9fL_AQP_AAAW-_z-AAAAAP0G-PoCAAAA9wcBAAAAAAAG-vr9-_b-ACAALXGG3js4E0AJSE5QAiqEAhAAGvABfyTmA7AZFP0d_dAA3QATAo0AAf80GeYAvP8AALjZ5wD6-uEA2AoK_-39FAHaCwgAHu_f_yfn9wAkAxAAKB4JABgLHAAt0w0BGvACAf_15_8EFRP-JvUNACL3_gAYLgr-DAwO_tcEyf8BDBgCCfYb_wLxDgLoFf__BRT__esRDQIE9v8EGOYX_u4G9wH3AwP8CwsN_gUK6ADj1AQD-CTX_hzz_wYA9fr_E_kGBw_h7QL8AAv3DgHkARIGDwXbBwwHG9j-__nn9wLg7xP_BOAO993_Gvn48xD6GhDs_-biB_nr-wL4-v8AA_DmBADx-Pn_IAAtlyA1OzgTQAlIYVACKs8HEAAawAfpXxK_-YWXPE743ztrcic9uZEtPZI5Ozw-ibk9kKUqPVXFcbvuOoC8MVzCux82iTr8jLu-WlMPvMbqxbs7GWw-rgzqPIKMJTxLIwa-TPa0PLn0-TynWYC-4tLiOAeaL73Ns009Rf1EvbYlvDwjEpU9_L0ZPfHUhjuzrna96z3wvCCAL70JQb29uSaTPPaTFryU9gY-qgCpPBMy1Lm8Wu49QGNLvCsBpzxCwVY914QZvdVR4bsTC9y9pfz_PCHkPD1TeQs-u0c2PMocJrya77s9q24_PNg7bbwPqbM8j3gJPNhS9ju5ALS8ZU2RPUysZ7zSo449maQNvVDfsjw-GW29bzNQPbBjkjz19fw9nKIIPesrWbx174c9jT82PeK5rTwQp4g94MhRumRU37owY6o9oZGZPCZpozwIuky94c9wPfa8tLtTGnY9GKWVupqFajvTwmA9quQtO5y3nLvrA5S9SNoSPVdyfLsbFGi95qzPPNZcibxHHyM-cK3bvP6-97vCWYA8WYuaPQxGGzxF1GS9geGmvEN-bDwkCWc9Gya_vJdMW7ozVvY8uJubvZYgpzl1qEs8DH_MPS8BT7sK28-8KnAVvE980rsrbcE99AlqPG-nY7yFLOK6AszCOyjK77r-LNa8YVygvPO-O7xHKXe9kT7SPEXDnLtPBLG84BhZOXjx2bubG6g9x8mzO06oFjvGcJC8fGkjPMDfmrtkWRM7BI8PPcmiF7v2K_g59O9EPCssnzqiNdA8EHznPJxzDbtWuKW83RqivGs9M7rAkJs6PBSFPTfmtDjX0Hc9cSm-unpftji19I08cJjovGug4jeV7ce6N-lSuGchTLp6KWa9c3sOvVHD4jgm2Y88srYOPZcUlDkKKHm8HF4OvORLU7nfNOC6w06sPeoJFbirbVQ8tyhzvY6q1bdMvAi9ulCRuTIZQbmYGTa8eei7vH55tzpBlHk8IsKeuso_TDeYtFI7P3DFvfcuYDluvOC8V8uCPKOuOjgAWhA71pdbPGu8KLgGrIu8xnQcvQalIriv2Bk889qWvUlaH7e92IM7yqacPAV5EzesCZi9SBC2OwSmwTdISEm82QxLvOiJJbjn172734x1vAjhQ7jAVYU7Iukqu80HA7igVMs99_HGvC2P1bjslei7M_MpPTgaUbg-PHC85-M5O3hmpDYMGMm8mLIAu3akLre9rwU9pUkJvq2ehbiKllc9EFj5PY0XQDgHC6e8vfzuPYO0Hrl1HlW9lNmgvH8pSjfiy0Q8KIk7vTf01bcgADgTQAlIbVABKnMQABpgNPwAEQlT3NsIVOrq89n49SDg2jLMDf_n9v_65M_e9E7ltgL__y-_EtugAAAACdf5S-EA7Hzk7sQT9-YS86v5Hep_BvsFw8fm8L_m4gvNGBT_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_AADgwAAA-EEAANDBAACMQgAAcEEAAADAAAAUwgAAQMEAAFDCAADYwQAAIEEAAATCAACAvwAAgD8AAIRCAAAwQQAAmEEAAGBBAAAUwgAAksIAACBBAAAwQQAAoMEAAIRCAADgQAAABEIAAOhBAAC4wQAA6EEAALjBAADoQQAAdMIAADxCAAAYQgAAKMIAADRCAABAwAAA4MEAAPjBAAD4QQAAAEIAAEBBAACgwAAAqMEAABTCAAAwQQAAgMAAABTCAACwwQAAuEEAAIBAAACowQAAOEIAAJjBAAAgwgAATEIAAOBAAAAAQAAAQMAAAPBBAABgQQAA8MEAAATCAADgQAAAbEIAABzCAADoQQAA8EEAAM7CAACQwgAAcMEAAMDBAAB0QgAAUEEAAHjCAACwwQAAwEAAAIBBAAAwQgAAuMEAALBBAADQQQAAyMEAADhCAAAAwQAA-EEAAFxCAABgQSAAOBNACUh1UAEqjwIQABqAAgAA6L0AAIq-AADoPQAAFD4AAKC8AACSPgAAHL4AAA2_AACKvgAAyD0AABA9AAAQvQAA4DwAAII-AAAEvgAAUL0AAMo-AABAvAAA6D0AAMI-AAB_PwAAoLwAAGQ-AABwPQAAoDwAAKC8AABAvAAAgLsAAOC8AABkPgAAZD4AAAy-AABwvQAAgDsAAIg9AAAcPgAAcD0AAAS-AACivgAAuL0AAES-AAAUvgAAlj4AAEC8AAAkvgAAQDwAAAw-AAA8vgAAZL4AAIq-AAD4vQAAyL0AAI4-AAC4PQAA-L0AAEC8AAA7PwAAMD0AAAQ-AAAcPgAAcD0AACw-AAC4PQAAmL0gADgTQAlIfFABKo8CEAEagAIAACy-AAAwPQAAHL4AAAu_AADovQAAyD0AAJ4-AADgvAAAuD0AAEQ-AACgPAAAqL0AADC9AADYvQAA4DwAADA9AAA8PgAAAz8AAAS-AADuPgAABD4AACw-AAAMvgAAEL0AAEA8AADgPAAAgDsAAAQ-AAAwvQAAQDwAADA9AAAUPgAA4LwAABS-AACYPQAAoLwAAII-AAAUPgAAhr4AAKC8AABcPgAAyL0AAEA8AABwvQAA2D0AAKg9AAB_vwAA6D0AAFC9AABAPAAA6D0AAEA8AAA8vgAAqD0AAFQ-AAAsPgAAQLwAAHC9AAAUPgAAPD4AAIA7AABcvgAAMD0AAHw-IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=PiaPIleRhgQ","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":630,"cheight":480,"cratio":1.3125,"dups":["826653010435925907"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2949953729"},"8901107263072764851":{"videoId":"8901107263072764851","docid":"34-7-5-ZB865E44A76D57EDC","description":"The fifth class in Dr Joel Feinstein's G12man Mathematical Analysis module, includes a definition and brief discussion of bounded sets. at: http://explainingmaths.wordpress.com Dr Joel Feinstein...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1086986/75398b7cf28a3d7ad2701c18ae044d15/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/o8G9HgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTIm017uadN4","linkTemplate":"/video/preview/8901107263072764851?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 3: Math. Analysis - Bounded sets","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TIm017uadN4\",\"src\":\"serp\",\"rvb\":\"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-wf_AgD1AQMFBwX9AQsKBwD3AQEA_AX5_QYE_gAE-g_-BgEAAAwN9PwIAAAAAPvyDfj-AAAR9vkIAgAAABAG_gj3AAAABgz6_f4BAADu8_0LBP8AAA31Bvf_AAAA-wf--wb6Af_-Cf8DAAAAAAb6-v379f4AIAAtI3_YOzgTQAlITlACKoQCEAAa8AF8FPz_5e76BOQM6wCtGgEAgQot__w20AC18AwBuAPgAOAI8gDmFgIA9yAYAJ4TDQE2087-BPgP_y_87_8j3xAA_RkwADrnFQA0AggA7gLy_94jL_3-yRMA_cTdAA__4QAU7AcB5PvXA-wDvwIQ_kEB_x0XBUP4CwPY1fYC8AgJ_-ED5gAc-P3-79v_-ecIJwEG8Oz_Exn6_dMU8vz2GP8F7e8K_wgw0_1B_hMD8Ab8-eID7Qce9uX4ChwSBdMO_QbO_BAD1eQA9wfzAvgO5gn93egGAz7y5Qv5AvcE7vcJ__71AQLmMQoB8fgHCL3n_fsgAC1QIw07OBNACUhhUAIqzwcQABrAB_VKyb7ok0u8X_v4PKoLnb3Lgb87wP6QvCMT8L3XLSc99_1AvGL1Nz6AMIs8yZI5PDhpir7RDD087a59PC0LVj6wily9QS0mvXoXL74IPDA9KZ_UvKdZgL7i0uI4B5ovvSZnsj2zMQY70dObPFRTAj7cSzq9dswQvG-LCL1DRwe6I9gYvZE__bwNa4887L0YvWKJQj3-gMc8sj_aPOYDQj72PU-9RwEBu872DT1zi9S839Gxu5o6VL1MU6W7uAD6uuqv9z0xslE6yE0DPUjLFz3sB4Y8d_N5vHN2_LwzuLc8Dw52vKjKMj1_FPU8iTxuvPBuYD1bVTu9VthnvG2s5L2mES49lE7BO91gOD4pplw94xs-OsZhqr2rW5097tSaO1rXCTwxYIm87prKO0sXBz3_iRs9NM9bPJ_1vrsSQQY9T8k5PP1xsTx4RLU9tVd6PMeOfD0wL8A7JtvlvJwEpTxdAHU8oyeAvIM5pb34k6c9BKmUvDRH1j30Nja8oWc9uohXKD2ljZk8fGfNuiRenrti-Oi9UxhnO2MqfbyjRcy9hypGvKUYuz2dbJ68QjuMvEGUiT1tJS-9O0j8OjD6ZTySq7s73c0Vu6R9vT1zyYe9L8gvO20Dcr0HZMo8yQKJO_DVlju3HzU9Yp3Pu307rru1pc49PmrhurnNr7y70EG9ogC8u1lpAj4VOIm9QLdwOswucz1QGb88Xb4aOxiyCj5lnsO7GNGCONkQEr1Jzei8WkKlO9BvqTyLivo7MZvfOpNikT2mgT-9g5OsuYEKQj0P1RA8Yc0zuFNvl7zydw89-AgkORXXgj2JTVq9OeuTOK4ZT7zsNkO9Gk61OaqxSb0_xGu9HsaSuRxF8TzyeYW8dh8_uTz1KL0pZH29-BefuapO4rwTimM984WvOGd8hDy3XKK8zVYauBMJS71Z2o68740lud3P6bx35H68vza1uKy6u7pQyI49ZMz6N1qvgz0Bj8O9ptFaOXisI7yun349fQTTOOcfOD0P77k9tGi5OM_GBT3cTKA8h_YnuMPT6zxnJvi9IiQkuKdtjTxo3EU94PbGuGvx6b151iS87i9gNjxqzLzypWa9-vfltxzZsD1AF4281CvhN3dz57zwYzG9wsPcN62n9j2z6pi8ezs6uXD0rL2JmBI8BSAbOFRPizpW_5a8CPLZtSAN57wVKg49Hi6-NibckLwWMDG-QaBaucr0cD0i4Ss-8cuKOOIYrjxvpaI9TCdSuCumnb1Y8sK88Kilt0eIvDs1iQa698M8OCAAOBNACUhtUAEqcxAAGmAC7AA6-jylCBsq_wj22eDM79DRC7Ht__TH_yDkzAXqMb6qFgIAGMtO25MAAAAC9e8m2wD8f9jfETz61P_Cm_VTBHkaCyqr6_AcvAUaOOQPJ93vH24AxwedKinNsB0gVhMgAC26KAs7OBNACUhvUAIqrwYQDBqgBgAAgMEAAERCAAAEQgAA4MEAAJjBAABYQgAAMEIAAHBBAAC2wgAAgsIAAEBAAADgwQAAIMIAAJjBAABwQQAAoEAAAPhBAACiwgAAoEAAABDBAAAwQgAAYEEAAJBBAABcQgAAcEEAAATCAABIwgAAsMEAAGhCAABAQQAAIMIAABzCAABwwgAABEIAAPDBAACIwQAAREIAADhCAABQwQAAEMEAAKhBAADIQQAAcMEAAGDBAAD4wQAABMIAALhBAADgwAAAXEIAAPBBAACMwgAAAEAAAJDBAABwQQAAJEIAADBCAACQwgAAIMEAAMBAAADAQAAAkEEAAKjBAADQQQAAZMIAAMhBAABowgAAKMIAAABBAADcwgAAUEEAAEhCAABwQgAA4MAAAABAAAAgwQAAAEEAALDCAABUwgAAUEIAAMBBAABAwQAAhkIAAAjCAAC4QQAAiMEAAHhCAACIQgAANMIAADhCAAAowgAANEIAAOhBAACEwgAABMIAAHjCAADIwgAADEIAAKBBAADgQAAAREIAAFjCAABAQQAAnkIAABBBAAAowgAAAEEAACjCAADoQQAAIMIAACBCAABgQQAA-EEAAIA_AABwQQAA-EEAAHBCAADgQQAA-MEAANhBAADgQAAAUMEAAMjBAAAUQgAAjsIAAAzCAAB0wgAABMIAADDBAACYwQAAgMEAAKBBAAAkwgAAAAAAALhBAACowQAAPEIAALhBAADQQQAAJEIAAAzCAAA0QgAAAAAAAHDBAADowQAAgkIAALhBAAAgQQAAZEIAADxCAACAwAAAuMEAAPhBAADgQQAAEEEAAJDBAADowQAAPMIAABDCAADgQAAAFEIAAPjBAABAQgAA4EAAALDBAAAUQgAAyEEAANhBAACCQgAAAEEAACDBAAAIQgAAYEIAAABAAACCwgAAMMEAAGBBAABAwQAAQEEAAAAAAACuQgAAksIAAOLCAACIwgAAqEEAAJpCAACgQQAAUMIAAKBAAAAgQQAAyEEAAKhBAACQQQAAAMAAAODAAABkwgAAWEIAAIpCAACoQQAAXEIAAPjBIAA4E0AJSHVQASqPAhAAGoACAAAkvgAABL4AAGw-AAA8PgAAmL0AAIo-AAD4vQAAEb8AAIa-AACYPQAAcL0AAKA8AABEPgAAbD4AAKA8AAC4vQAAoj4AABA9AAC4PQAAxj4AAH8_AADgPAAAfD4AADA9AACgvAAABL4AALi9AACAOwAAUL0AAHA9AAAUPgAAHL4AAIi9AABQvQAAUD0AAIg9AACAOwAAqL0AAJ6-AADovQAALL4AAOA8AABEPgAAML0AAKA8AACAuwAABD4AAJq-AAAMvgAAtr4AAMi9AAAQPQAAjj4AAOg9AACCvgAA4LwAADk_AADoPQAAmD0AAPg9AACIPQAAQDwAADA9AAD4vSAAOBNACUh8UAEqjwIQARqAAgAAqr4AALg9AACovQAAHb8AAFC9AABwPQAAij4AADS-AACYPQAAVD4AABw-AAAQvQAAML0AACS-AAAQPQAAqD0AAAQ-AAAvPwAAuL0AAL4-AAAUPgAALD4AAOC8AACIvQAAuL0AABQ-AABAPAAAfD4AAJi9AADIvQAA2D0AAEw-AAAsvgAAXL4AAAw-AABQPQAAVD4AAI4-AAC6vgAAkr4AAFw-AABwvQAAqL0AAOi9AAAEPgAAFD4AAH-_AABwvQAAcD0AALi9AAAkPgAAoDwAAES-AAAUPgAAjj4AABw-AACgPAAAqD0AACQ-AADIPQAAED0AAIK-AAAUPgAALD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=TIm017uadN4","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":630,"cheight":480,"cratio":1.3125,"dups":["8901107263072764851"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2249621015"},"4679888447612364958":{"videoId":"4679888447612364958","docid":"34-6-10-Z311220AECC4C7064","description":"This lecture covers foundational concepts from the book 'Principles of Mathematical Analysis' by Walter Rudin, widely used in courses such as Math2400 at Australian universities.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2225548/a8baae5a9619bb5d439b677ffb807087/564x318_1"},"target":"_self","position":"3","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvBzbFkGVpx4","linkTemplate":"/video/preview/4679888447612364958?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Principle of Mathematical Analysis by Walter Rudin || Real Analysis Math2400","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vBzbFkGVpx4\",\"src\":\"serp\",\"rvb\":\"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-9AH8BAD1A_4CAAP_AQcDCQn4__8ACQj6-wUC_wDyAg76BwAAAAf-8ggCAAAA_v7-__j-AAAR__AHAgAAABEEBfn4AAAADQv8A_4BAAD89Qv8AgAAABEIAvT_AAAA-wQE_QAAAAD_CAMLAAAAABP_9w0AAAAAIAAtUBnhOzgTQAlITlACKnMQABpg-woAHvsQ6t4eG-nvFev8BAzp5hnzBADq9gABAfPQDxLx2e_z_yTbI_jIAAAA_ffmIhgA3Ub7-s0aEewBAtX7JgR_D_wE-RPu6NX86-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_AACMQgAA6MEAAOBBAACoQQAA8MEAAADAAABEwgAAEMIAAKBBAADoQQAAhkIAAADAAAAEwgAAokIAAEhCAAC-wgAA-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-AABsPgAA6L0AAGy-AABkPgAAQLwAAC-_AACGvgAAgLsAABw-AADgvAAAQLwAAFw-AAC4vQAAir4AAOg9AACgvAAArj4AAAM_AAB_PwAAQLwAAIY-AAAQPQAAgr4AAKi9AAAQvQAALD4AADC9AABwPQAALD4AAAy-AABUvgAAoLwAAHw-AACgPAAAyD0AAIC7AACGvgAA-L0AAKC8AAAkvgAAyD0AAPi9AAA0vgAAmL0AAEw-AACKvgAA-D0AALq-AAD4vQAAND4AAKg9AABsPgAAJL4AAEC8AAAnPwAAmD0AAEA8AABkPgAAgDsAAOC8AAAMPgAAcD0gADgTQAlIfFABKo8CEAEagAIAAHy-AACYPQAAUD0AAC2_AACgvAAAmD0AAEQ-AAAMvgAAQDwAAL4-AACIPQAAiL0AAKi9AAD4vQAA4DwAABA9AABcPgAAIz8AAHA9AADePgAAiD0AAOg9AAAwvQAAQLwAADC9AABMPgAAiD0AAAQ-AACYvQAA-D0AABA9AACoPQAA4DwAAGS-AABQPQAAiD0AAIg9AADoPQAAgr4AAIi9AABQPQAAyD0AAMg9AAC4vQAAoDwAAHA9AAB_vwAAiD0AAFC9AAAQPQAAmD0AAEC8AACAOwAADD4AAPg9AACYPQAAED0AABC9AACgPAAAgDsAADA9AAAMvgAAHD4AAHQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=vBzbFkGVpx4","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["4679888447612364958"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11507936611055235977":{"videoId":"11507936611055235977","docid":"34-3-11-ZA93D992718B1C47D","description":"The second part of the sixteenth class in Dr Joel Feinstein's G12man Mathematical Analysis module begins a discussion of functions, limits and continuity. Further module materials are available...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1584286/c535017e576a31df1df789643528c9f9/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vyCoRAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dg94BQBIjxdk","linkTemplate":"/video/preview/11507936611055235977?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 12b: Math. Analysis - Functions, Limits and Continuity","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=g94BQBIjxdk\",\"src\":\"serp\",\"rvb\":\"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_E6UEggQkAYAEKyqLARABGniB6vj8-wL-APL9Cv4NA_4BFgLx-vQCAgDs-O_7BQAAAOj8EQUFAAAA9QT4AvgAAAAA-_EN-P0AAAQE9wgEAAAAGwL9APcAAAAHDPn9_gEAAOr2Av8DAAAAG_zw-f8AAAAACAL2AwAAAAQE_AcAAAAADQT9-wAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAX8X8ADn8PoD3AP3AMsh-ACQ-g___TLUAK36GwG-A-IA7Rr3ANbm4wHjEgEAuwcB_zLX0v_2s_cARPT4_xPv_wD9CR0BEsgDAEICFv_x8-v-4SEs_QTgDQAX2NQDCAvS_vkFCfzQBb7_7gPEAg_-PAHuChgG_-MiA-DlAADgAwoB7N7a_ibz8wbY6Qj46QckAQXvB_wBFQL6zB_s_wYc-gUBzw3-CC3W_hv6GgcDCwsF0xX5-AgQ6AMDCBoCzwII_NnyLAXz4QHvAPn8BDncAPjv9gIKCe_1CPoC9wT22QH8Be3_9dkU_vvbBQP0yvnuAiAALe-5GDs4E0AJSGFQAipzEAAaYBvlABbuPcb5Az3p5OviDtbf9s5EugL__-b_9Pz1_fUlzrEcBP8WtDTcnwAAACAQ0DDlAPV3xOnzNfUM_bqjAioNf_z5Ob3h8vCs1xJODPUg6v8vUgDr_qcjIui1NCNOIyAALTZwFjs4E0AJSG9QAiqvBhAMGqAGAAD4QQAA-EEAAIJCAAAgwgAA6EEAADBCAACMQgAAgMEAADzCAADgwAAAgD8AANDBAABQwgAAgL8AAEBAAACAwQAA6EEAAIbCAAAEQgAAuMEAALDBAAAgwQAAhsIAADxCAAA4wgAAYMEAADDCAAAYwgAAEEIAALBBAAB4wgAAcMEAAIrCAAAsQgAAvMIAAIDBAAAAAAAAlkIAAEDAAAAAQgAAQEAAAKhBAADowQAAKMIAAABCAACMwgAAQEEAAAhCAAAgQgAA-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-AACGvgAAbD4AAHA9AADgPAAAyj4AAKC8AAAJvwAAVL4AALg9AACYPQAAoLwAADw-AACaPgAALL4AABC9AACqPgAAML0AAOg9AADePgAAfz8AADC9AAD4PQAA6D0AACS-AABQPQAA2D0AAKA8AADovQAAXD4AADQ-AAAUvgAANL4AAFC9AAAMPgAAMD0AAFA9AADgvAAAnr4AAEA8AACyvgAAcD0AAGw-AADgvAAA2L0AAJg9AABUPgAAor4AAJi9AACivgAA2L0AAIC7AACmPgAABD4AAKi9AACYvQAAJz8AAOg9AAD4PQAAlj4AAOC8AACAuwAAoDwAAOA8IAA4E0AJSHxQASqPAhABGoACAAD4vQAAQDwAACy-AAATvwAABL4AADw-AAB8PgAAEL0AADS-AACuPgAAyD0AAHC9AACIvQAA2L0AABA9AAAwPQAAbD4AACU_AAAwvQAA3j4AAOg9AAAkPgAAcL0AAAS-AACAOwAAuD0AAIi9AADYPQAAiL0AAKg9AAAQPQAAiD0AALi9AACWvgAABD4AAKA8AAAEPgAAHD4AAIa-AABEvgAAXD4AAOC8AACAuwAAEL0AALg9AABkPgAAf78AAKi9AABAvAAAQLwAAHw-AABAPAAADL4AAIg9AAAcPgAAqD0AAEA8AADgvAAAHD4AALg9AAC4PQAAgDsAANg9AABQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=g94BQBIjxdk","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":756,"cheight":480,"cratio":1.575,"dups":["11507936611055235977"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1010029789"},"10091786605962673758":{"videoId":"10091786605962673758","docid":"34-4-6-Z2A14F92AA150A3DB","description":"Solved Queries - Best books for bsc - Real Analysis - https://amzn.to/2DNNw9E https://amzn.to/2DNNw9E Complex - https://amzn.to/2LoioUd Please check Playlist for more videos - Class 10 maths...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2711143/b0466d59319694200e9cece5fcbee3de/564x318_1"},"target":"_self","position":"6","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiPxmoUo46CU","linkTemplate":"/video/preview/10091786605962673758?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Let's Talk | Mathematics Analysis","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iPxmoUo46CU\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA9vkGCA0F_AEMBf8C9wAAAPYH_P__Av8A-fYEAAsAAAD7D_H_AwAAAP4D_w_4_gEABALuBgIAAAAb_QIDAgAAAA8Q-vn-AQAA9fgHAgMAAAAN_v_4_wAAAP__CPkCAAAA9wcBAAAAAAAJCfrzAAAAACAALcSf4zs4E0AJSE5QAipzEAAaYP8OACcQPd3HKxTnC-fDCvAE774E0BD_xhX_AdfutwA83dEJHP9CuhvjqAAAAPDw-wnRAOVt3O_VHzLTDM287D8RfxML8BQi7_DTGjP_CytJArc1NwDL--csANvlPTsvTCAALSw3IDs4E0AJSG9QAiqvBhAMGqAGAABwwQAAUMIAAOJCAADowQAAWMIAACTCAAAMwgAAoEAAAHDCAACAQQAAAEAAAGBBAACWwgAANMIAALBBAACMQgAAgMEAAODBAAAAQgAAbMIAAMDAAAAAwAAAEMIAAFBBAABcQgAA4MAAACjCAAAAwgAAeEIAAOhBAACgQAAAJEIAALjBAACgQAAASMIAALBBAAAEQgAAwEAAAIBAAABAwQAAEMEAAMjBAAAswgAA4EAAANhBAABgwQAAoMEAAIC_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-EEAAMDBAACQQgAAoEAAAKjBAABUwgAAQEIAAKBBAACgwAAAQEEAALhBAAAwwQAANEIAAFDBAACswgAA_kIAAABBAACAvwAAaMIAAIhBAADowQAAiEEAANBBAACgwAAAAMIAANBBAAAowgAAMMEgADgTQAlIdVABKo8CEAAagAIAADS-AACuvgAAUD0AADw-AACovQAADD4AAHS-AAAZvwAADL4AALi9AACYPQAAmD0AALi9AABMPgAAir4AAIK-AADuPgAA4DwAAGw-AAADPwAAfz8AAHy-AADYPQAAMD0AAFC9AAAcvgAAML0AAEC8AACgPAAAPD4AAHw-AAB8vgAAUD0AAJg9AABwPQAAbD4AADC9AAAcvgAAvr4AALi9AABEvgAA4LwAACQ-AAD4vQAAyL0AAJi9AADCPgAATL4AAAS-AAC4vQAAdL4AAKA8AAAEPgAAoDwAAI6-AADgvAAAPT8AAEw-AAAQPQAA-D0AANi9AACIPQAAoDwAAKi9IAA4E0AJSHxQASqPAhABGoACAACIvQAAFD4AAEC8AAAVvwAAgr4AALg9AACaPgAAHD4AAOg9AAAcPgAA4DwAAEy-AACIvQAA6L0AAIi9AAAwPQAAuD0AACc_AABQvQAAnj4AAEw-AAAQvQAAyL0AAKi9AABAvAAABD4AAHC9AAAEPgAAEL0AAJg9AABAPAAAiD0AAEC8AAAsvgAAyD0AALi9AAA0PgAA2L0AAIa-AACoPQAAdD4AAOC8AACYPQAAML0AABA9AABAPAAAf78AABQ-AACgvAAAoLwAAJg9AAD4PQAAXL4AALg9AADaPgAABD4AAOC8AABQPQAAQLwAACQ-AADYPQAAfL4AABA9AAAMPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=iPxmoUo46CU","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10091786605962673758"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"18401426668660020152":{"videoId":"18401426668660020152","docid":"34-5-14-Z390A6DA83B351930","description":"The first part of the third class in Dr Joel Feinstein's G12man Mathematical Analysis module covers the properties of the Euclidian norm, including triangle inequality and homogeneity. at...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318862/284e81ec8947ffd734d0d0cdac0697a6/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/9e7qLQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJrPYtyaJkdw","linkTemplate":"/video/preview/18401426668660020152?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 2a: Math. Analysis - properties of the Euclidian norm","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JrPYtyaJkdw\",\"src\":\"serp\",\"rvb\":\"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_E8oIggQkAYAEKyqLARABGniB-_D8B_8BAPQJ7QcIBP4BAAP_-Pj-_gD2B_v-_wL_AOz5EPz9_wAABhP2AP4AAAAOCPkG-gAAAA0C-BACAAAAHgAJ__oAAAAIB_8C_gEAAO7-APYCAAAAF_v8_gAAAAAA_wMBBAEAAPYJ-PUAAAAA__UB_gAAAAAgAC0g_9c7OBNACUhOUAIqhAIQABrwAXwU_P_p5eICyQLoAa0aAQCBCi3_7jL0AaLm_v-kFMf-3_sE_-cU6QD3DCkAsSv4_zbTzv7_5OUBId_-_hvdAAENAioAI-8FAUcDGP_w8ur-3iMv_efMEgEZ1NADGxcH_yj9Jv_x--D61vPSACb7MQH_HRcFM_MKA9us_QHr5vQE9vjD_hAFBQDV1AsA8QocDAvO_P4TGfr95v7dBPX69v3rAAf2CDDT_S7vBQcHBvQJ9frvES36-fkdRBUG9_jz79jfCvbT-wr2CfPvBwXXEvS_5wQKNfIADfkC9wTu6gAK-s3-_OcfAQD58vwP3dj95CAALVAjDTs4E0AJSGFQAirPBxAAGsAHTz7Fvn7Y3DwxxrA7pZ2PvUTkz7yFS728KuAevgPuWT1zVY-8kKIePkoS3zy3QwE89pZivgV4gTx5Pw28xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S8p1mAvuLS4jgHmi-9O56APSjABr2RjOY6VFMCPtxLOr12zBC8IZWivIZEkLxO3ra8IhehvTucirwFK1O9v7NCPZRCqLtHUCE9IOsJPsVt2byqmTW8wDEaPR5Pi7zQWrY8FpJivRFedbs-9NO8ySJtPUWE2jslMyg8GR2xu5XCcjyinjo7-RSAvDZ0s7w9Cle8qMoyPX8U9TyJPG68vJsiPcADqL3DP7I7qMghvgJ8HD3o6W08JxcTPk_Vcz0VqbA8fNyivb9g9zxMRC68FXUFvJ_EjLwxlDi8hO1MPeTzaj1UkPo8meJgPDXpOz05nxM8Y2A9PQ8uyD19-e48huJOPZD-cr1GoFW8Xf8pPQy1wTw_dJy8gzmlvfiTpz0EqZS8pCyNPZ0cFbx5bJE7LpmpPbpXPD2dbjQ8xTVDPfhRDb4Jbyy7Yyp9vKNFzL2HKka8PRVGPeprpzx6BkO8FZBWPb9elr3dQ8K7Ry1POkAWATzWlUe72ULQPZQU2L0iEQm47MmCvd4oKD2hwDc7VK7su-RZeD2WFRa8r2Z4vC03kj2eVQ87_kHJPFsMjr0d32Y7Rg6MPcWUA738MW87TBGaPUh9Yz06hV65NODHPVG4gzxrG_M5LEJWvUhj_ryhXQ071u4LvBUb6Tk2eiw6k2KRPaaBP72Dk6y5vaLAPAS_lbu5cPq57eWIvMx5tj2_8Tq5tfSNPHCY6LxroOI3RG_MvOxnlr2bzOo4djwBvaBzkryqFZC41qJLO928JroC5AQ4EvVCvSIY5714Guo3HBXuvNAVmzxRiwS5noxbPcNiGLy1_my3TkWqvM-j4ry-pFM5WHIVvcKSIb0R6Kw5YWZpvDWtPj0A7om45yLZPAPM_L1SScg5lu2ePGwbKz0THW64gJyQPUjArT18vuI469A_PbPdMz3Lj5O4mgcQPd44yb0INPs2oNx7PQGZtz1YADa4aHUyvmSkKD0Xyky3vJS6vO69vr1Ji5s3lGEmPeZBVTx5kpY22GOivEHbA7sZZTQ4raf2PbPqmLx7Ozq5uIWYvT-CC7zCD963qwTwvASxh7x-BSa4zJrYvOO1YT2Q36G37AO9O3zUD74X-ty4yvRwPSLhKz7xy4o44hiuPG-loj1MJ1K4pyUGvs8Zi7v0jjQ2lRGyvGUwqzyLFY82IAA4E0AJSG1QASpzEAAaYAnuACQEQ730HCv23OHp6c702b0v0QD_9s7_twPpJfUwubAECwAX3z7LmQAAABv88h7bAO9_xM76FxLuFsee2i8WdPrwKZHWJeXQ5xoLGeoY9OdQXADv8qE1CNmqNvJQNyAALT2yDzs4E0AJSG9QAiqvBhAMGqAGAACQQQAAIEIAABRCAAAgwQAAFEIAAPhBAACSQgAAkMEAAADCAACAvwAAuEEAAMjBAADQwQAAgMAAAPjBAACQwQAAmEEAAJ7CAADAwQAAAMEAAADBAAAgwQAAMMIAANBBAAD4wQAAAEAAAEDBAABIwgAAfEIAANBBAAAcwgAA2EEAAMzCAAAgQgAAisIAADDCAAAcQgAASEIAADBBAACgQQAAMEEAAADAAAD4wQAAAMIAAKBBAACewgAAcEEAAOhBAAD4QQAATEIAAJ7CAADYwQAAUEEAAChCAAAkQgAAAEIAALjCAACAwQAAMEEAAMBBAACAPwAALMIAAGTCAAAwwgAA-EEAACjCAACwwQAAoMAAADjCAAAwwgAAikIAANBBAACEwgAAAEIAAIA_AAAgQQAAqMIAAIDBAABQQQAA8EEAAIjBAADcQgAAiMEAALBBAABwQQAAEEIAAPBBAABYwgAAYEIAAHDBAACYQQAAJEIAAHjCAACoQQAAEMIAANDBAADIQQAAkMEAAAhCAACAwAAAIMEAALhBAACeQgAABEIAAGDBAAAcQgAARMIAACxCAAAswgAA0EEAAHRCAACQwQAAAMEAAFBCAABAwQAAxkIAAEBCAAAYQgAAmMEAACDBAABQwgAA-MEAABBCAAAUwgAAAMAAAJDBAAAYQgAAMMIAACBBAACAQQAAgD8AAIDCAABAQAAAqEEAAIjBAACQQgAAgEEAACRCAAAAQAAA8MEAAAxCAABkwgAAAEAAAEjCAADoQQAAmEEAADDBAAAwQgAAwEAAABjCAAAwwgAAGEIAAPBBAADYQQAA4MEAALjBAABAwgAADEIAAODAAACAQAAAVMIAAJhBAAAAQgAAEMEAAGhCAAAAAAAAoMEAAGhCAAD4QQAAQMAAANBBAAB0QgAAAEEAAETCAAAowgAAiMEAAGBBAADIwQAAgEEAAGBCAACEwgAAnMIAACDCAACYwQAArkIAAFRCAAA0wgAAiMEAABRCAADoQQAALEIAAODBAAAAwAAAkEEAAPjBAACkQgAAwEEAAHBBAABQQgAAUMEgADgTQAlIdVABKo8CEAAagAIAAI6-AADYvQAAhj4AALg9AAAQPQAAVD4AAFC9AAAlvwAAir4AADQ-AACgPAAAmD0AABQ-AACGPgAAgLsAABy-AAC6PgAAQDwAABw-AACqPgAAfz8AALi9AABMPgAAHD4AAJi9AAAwPQAAcD0AAOC8AACYvQAAZD4AACQ-AACovQAAFL4AAFy-AADoPQAAPD4AAFA9AADgPAAAJL4AAPi9AACovQAAQLwAAII-AADgPAAALL4AALg9AABUPgAAXL4AAES-AABsvgAAML0AAAy-AACOPgAAUD0AABC9AACAuwAAKT8AAJg9AABwvQAARD4AALg9AABAvAAA2D0AANg9IAA4E0AJSHxQASqPAhABGoACAAB0vgAAEL0AAAy-AAAvvwAAiL0AAKg9AAAwPQAAML0AADC9AAAMPgAA4LwAADy-AAAMvgAAJL4AAIC7AAAwPQAAXD4AABE_AACAOwAAmj4AAGw-AACSPgAAcD0AABC9AADIvQAAND4AAKC8AABMPgAAQDwAAJg9AAD4PQAAPD4AACS-AACSvgAAuL0AADA9AACWPgAARD4AAKq-AABcvgAAHD4AAIA7AAAwvQAA4DwAADQ-AACOPgAAf78AAEC8AACoPQAA-D0AANg9AAAMvgAAXL4AAEw-AACGPgAAFD4AAIg9AACYPQAAFD4AABA9AACIPQAA6L0AALg9AAAwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=JrPYtyaJkdw","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":630,"cheight":480,"cratio":1.3125,"dups":["18401426668660020152"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1732209527"},"1924373207325954551":{"videoId":"1924373207325954551","docid":"34-5-5-ZAFC3FC6BD293625C","description":"The twentysixth, and final class in Dr Joel Feinstein's G12man Mathematical Analysis module introduces Reimann integration. at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3429594/3cbd573d9851271eec30a2fcba078da0/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/sUwZMQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQykoPWRknZw","linkTemplate":"/video/preview/1924373207325954551?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 21: Math. Analysis - An introduction to Riemann integration","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=QykoPWRknZw\",\"src\":\"serp\",\"rvb\":\"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_vX_AQD4_vkEDQX9AQsA7wH2__8A9Qf7_v8C_wDh9wf2Av4AAP4I8wf8AAAABvwKC_v9AQAS_-8HAgAAABYF_fD7AAAABgz6_f4BAADx7Qr9AgAAABf7_P4AAAAA9wIG9f__AAAECQQEAAAAAAb6-f379f4AIAAtS6PSOzgTQAlITlACKoQCEAAa8AFrCu8Bxi4E_hAR9ADRFRQAgQUL_x4Q6wDOBP0Az_DoAP4S9wDd7wsA_gsNANgP9wAb8eL_L-nrACEDDgAlDBUAJA8KACzj_gAg5gMA9Q7s_wMTEf8S-QsAFAT1AAYDGwANCAQAxPDo_wD3EQMb_CIB-usMA_QI-_vuBAIA4QYOAg_2-f0N5AsD0f_3--r9_vwKCgz-CgT2--bYBAIVCt8CFOkNAQIJAfn-_BUGBez7__YK_vkGAf_8FhoQBu0JDgMk8v0C9OEM9eP_A_sd2QD-4P8Y-vzlB_v7AfkD_tgH-eYJAfXtDAIG6PUOB-4JBvIgAC1uJ0g7OBNACUhhUAIqzwcQABrAB74VDb-9XWW8U84XPVxXDD2vSZI8NTUcvPX0cT1uD2c9s4ndPL4vTr3lFT48XdznO5fHqr4Tx-w7vhGdvAovYT4XcbC8QdPGObqeCL7WYNA6yYQpPKdZgL7i0uI4B5ovvaQJKj1_NBe9Jlg3PS36pD17fGc8v6BgPLOudr3rPfC8IIAvvf7kmb27BCw9f1Y8uZT2Bj6qAKk8EzLUuRhaHT5qB3G7tIUQPFfpvj2q-eC8iq2gvNlkiL0eFxU9TfbPPGn-KD6LXdM7RwsrPMOB8D1OP008wNM_Ow9CxLpqfuM6XIpQvERplLtttT09G-VPPAaWDT0gyjy8JGR7PF6jwLwNYpE9jtOrPPCLCz7zP7O74jrGO4HGlj3x3FY8A1XIPHm1hz1zELS8HSq8POc6KD0XNjk9H4LLu6Ijvr1BX189VraPPI1KJT3WIyg9LPOWPBbOPz2djyE9KSKDPIwXlr0cDdy7I8oLOtO2hjugJmk83ejIvLmpMT5ImLi9CXpevGrEBz2CEHo9_4ELuyDUtb2LiU08jhsAPOsB8zx9dXq8oIPTu2pMiD0BaKS9uCP7u23jsjosY2M9nI1wO0gIxbzaFxY8aRiEuyiCoz3XZ_M8Vtgpu5fiKr3L3Q66QNTku_xlQbyF7Nm7h0I6vPWftTspM688tbDAugj-3Lzr46E8D1t-uwuosT3xw_e8mIz7ubHVijyNoTW7RplLu4fp0rv0eJA8KP0UuxL4ZLvuLDC8Ntf2N9BvqTyLivo7MZvfOhbhgbyhCuS8TgugOtUI_Ty9vfU8IqyOuY5suD1u-F08DYgZuTlYKT0I6Sm82_VpOfBBmbwkc-O59PgNuomKsr2AUC297WEcOXOJwDpkLMk8Mx80OMC4r7zl_rg7y8ECOEtncby3RgQ-B4EuOddHDL038_W8IRjpuBMJS71Z2o68740luVO1-LzAFJS9BOPWOLx9Eb31JzY94fW6OAopZLzrQ229pFnzNm684LxXy4I8o646OF2uODuB8509sxhitr7Ol7lzaiK9T0ost7ETgzy2sbO9FanpOFafhjz0QBy8IrgtOGOohL1mmS-9xz7JN_zxrDu1ChG8o3aauEbx6DqWAre8xu9nN67H8zzNNKu8C16PNd9PvT29rjo87FdrueyV6Lsz8yk9OBpRuKkIwzu4BWi7WZ9XOFm0LTu7U3A704EhuA0SRzx0fPS9VlhZuCEytjw7OeM9BBsGOTwp-rtVKm094DKNuDblCr0gY2m9PTP8t_kOozxRcqA6l7EXOCAAOBNACUhtUAEqcxAAGmAa8QAZ-ieszh496b7U0v3lA-3FSsn5___2_wr7zrv7MeScCA__Hcrx75gAAAAI3PQw1wAKf_TpzB0C_RAImPArynMjCSeO4wf5vc3q5_DwO_7_DT4A-_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-AACCPgAAgDsAAAQ-AACIPQAACb8AAJK-AACIPQAAMD0AACw-AAAQvQAAqj4AABS-AAAUvgAA3j4AAEC8AADYPQAAEz8AAH8_AAC4vQAAXD4AAMg9AAD4vQAAHD4AAOA8AACgPAAA-D0AAGw-AAAUPgAABL4AAOi9AACoPQAAED0AAJg9AAAwvQAAHL4AAJa-AACovQAAgLsAADC9AAD4PQAAEL0AAHy-AAD4PQAAhj4AALa-AAAcvgAAkr4AADy-AAAkPgAAbD4AAMg9AAAsvgAA4LwAADE_AAC4PQAAEL0AAFw-AADIvQAAED0AADA9AAC4vSAAOBNACUh8UAEqjwIQARqAAgAAXL4AAKg9AACYvQAALb8AAIi9AAC4PQAATD4AAKi9AAAQPQAAbD4AABA9AACovQAADL4AAFC9AACYPQAAMD0AAAQ-AAALPwAAED0AAOI-AAA0PgAAVD4AAEC8AADIvQAAcL0AAOg9AABQvQAAJD4AANi9AACIPQAAcD0AABw-AAAQPQAAbL4AAHA9AACgvAAARD4AADQ-AABcvgAA6L0AAHQ-AACIPQAAiL0AAEC8AAD4PQAAMD0AAH-_AAAQPQAARD4AAAQ-AAAcPgAA4LwAAFS-AABMPgAAjj4AACw-AACAOwAALL4AANg9AADgPAAAmD0AAFC9AADYPQAADD4gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=QykoPWRknZw","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":304,"cratio":1.57894,"dups":["1924373207325954551"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3590459610"},"5552146226293331528":{"videoId":"5552146226293331528","docid":"34-3-2-ZDA1FF49ACCECA6CC","description":"Complete Playlist: • Analysis-I of Int.M.Sc. Mathematics Tezpur... Lecture-2 of Analysis-I of Int.M.Sc. Mathematics 3rd Semester of Tezpur University by Imandar Saikia, B.Sc.(H) Mathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3444717/4a5386e02484bdff4356b9fc533f58a2/564x318_1"},"target":"_self","position":"9","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-kRABsBg38s","linkTemplate":"/video/preview/5552146226293331528?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture:2: Analysis-I: What is Real Analysis? Real Beauty of Mathematics \"Real Analysis\"","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-kRABsBg38s\",\"src\":\"serp\",\"rvb\":\"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_E-sgggQkAYAEKyqLARABGniB9vv7-_sFAPUHAP0MAv4ABQ8ICPgA_wADCgID_gP-APz_BwMBAAAABQT-Cf8AAAAB9wEE9v0BAAQE-AcDAAAACAf_9_cAAAAGC_r9_gEAAPX4BwIDAAAAEgQB_f8AAAD5Bf74_gAAAPECAQQAAAAAEgH5AAAAAAAgAC1ZkeI7OBNACUhOUAIqcxAAGmD7CgAW_Qnk7CQn7goP0_YHINbyD_HpAOj4APsC_L7_CvTJ9fz_Odwu6L4AAADx1fg06wDmVPsD3B0M-P_myOAfCH8Z7_7X8e_n3Anl8BoiKfm_Di4AzwPrGfTy2S_5Kj8gAC0TQE87OBNACUhvUAIqrwYQDBqgBgAAuEIAAMDAAACGQgAAPEIAAIDBAACOQgAAGMIAAAjCAACIQQAAisIAAEBAAAAAAAAAPMIAAMjBAAAwQQAAgEEAAOhBAAAAAAAAAEEAAFDBAACAwAAABEIAAMhBAAAYQgAAYMEAADDBAACawgAAfMIAABxCAABQQgAACEIAALhCAACgQAAAQMIAALDBAAD4QQAAQMEAAP5CAAD4QQAAnMIAAKDBAACAPwAArEIAABhCAACgQAAAwEEAANBBAAAgwQAAJEIAAChCAACIwgAAEEEAAABAAAAAAAAAWEIAAJhBAADgwAAAHMIAAKDAAADoQQAAAMIAAOjBAACAwAAAgMAAALjBAACIwQAAaEIAAODBAAC4wQAA4EEAABhCAAAIQgAAnMIAAKhBAACoQQAABMIAAFjCAABgwQAAwMAAANDBAABIwgAAAEIAAOBBAACuQgAA-MEAAADAAACwwQAAJEIAAGDBAABgQQAAOMIAADBBAAAwwgAAiMIAADRCAACewgAArMIAAABCAAAQQQAAMMIAAFzCAACAQAAADEIAAMDBAADYwQAA8EEAADBBAAA0QgAAMEEAAChCAACsQgAAKMIAAEDBAADAwAAAmkIAAABAAADoQQAAGMIAAPhBAAAUwgAALMIAAKDBAABAQAAA4MAAAGBBAABAwQAAoMEAAIBAAABQwQAArsIAAKhCAACgQQAAcMIAAMDBAAAYQgAAwMAAAEBBAACIwgAA6MEAAJzCAAAcwgAAwEAAAADAAAAAwAAAAEEAAIC_AAAQQQAAskIAAIC_AACAPwAAmMEAAFDBAACAvwAAQEEAAADBAADwwQAAAMEAABBBAACAvwAAEEIAAABBAAAAQAAABEIAAKDBAAC4wQAAQEEAAJhBAACwwQAAkEEAANjBAABQQQAAoEAAAMBBAACQQQAAiMEAAEBCAACgQAAAlMIAAGhCAACIQgAAVMIAAAzCAACAPwAAsMIAAADBAACowQAAiMEAAIC_AAAgwQAAQEIAAGTCAABAwgAAEEEAAABCAAAgwgAAmEEAAI7CAACeQgAAsMEAAMjBIAA4E0AJSHVQASqPAhAAGoACAAD4vQAAfL4AAPg9AACAuwAAyL0AADw-AABQvQAAL78AABS-AAAQPQAA6D0AABS-AADgvAAAij4AAEy-AAAkvgAAtj4AAKC8AAC2PgAA8j4AAH8_AAAsvgAAjj4AAEA8AAAkvgAA6L0AAIi9AAD4PQAAQDwAAKg9AAB0PgAAFL4AAAy-AACAuwAAUD0AAEC8AACIPQAAED0AAKq-AABwvQAAEL0AAFC9AADYPQAALL4AAHy-AAAUvgAAjj4AAKa-AACIPQAAZL4AABS-AABAPAAAdD4AACQ-AAAQvQAAoLwAAD8_AABQvQAAML0AAFQ-AAAMvgAAQDwAABA9AABQPSAAOBNACUh8UAEqjwIQARqAAgAAtr4AAEC8AACIvQAAJ78AAIC7AAAMPgAA1j4AAMi9AAAcPgAATD4AANg9AACIvQAAuL0AACS-AABAPAAAyD0AAAw-AAAdPwAAML0AAMI-AACiPgAA-D0AAIg9AABAvAAAML0AAKI-AABAvAAAfD4AAAS-AABQvQAAmD0AAMg9AACIvQAAqr4AALg9AABAPAAA2D0AADA9AACSvgAAUL0AAKI-AADgPAAAfD4AAOi9AAA0PgAAMD0AAH-_AACgPAAA4DwAAOC8AACAOwAA6D0AAAS-AADoPQAAwj4AABQ-AADgvAAAML0AAJg9AAAQvQAA4LwAAGS-AADIPQAAjj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=-kRABsBg38s","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5552146226293331528"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10203754293402798108":{"videoId":"10203754293402798108","docid":"34-4-12-Z555038F9B99B65D3","description":"This is the first lecture in a course titled \"Intro to Math Analysis\". This is a test video, but with any luck, the full sequence of lectures will be published at some point.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3690058/6f1f6294b540ea33adfa4dc236e4590c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XVvangAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZ9QtSa26C0g","linkTemplate":"/video/preview/10203754293402798108?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to Math Analysis (Lecture 1): The Need for Real Numbers","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Z9QtSa26C0g\",\"src\":\"serp\",\"rvb\":\"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_E6slggQkAYAEKyqLARABGniB8vz_9f4CAO8D_vsEAQAABgf4APf__wDsAvwEAAAAAAH9Dgn_AQAABAb3AQIAAAAE-_wL__0BAAML9v8EAAAADwP-__wAAAAFFQD6_gEAAObr_gADAAAAEAP48v8AAAAB9fjvAAD_AfkQ_QcAAAAABf_69gAAAAAgAC0dPdY7OBNACUhOUAIqhAIQABrwAX_uAACcD_T8Ew8BADToAv-s-AoAFQnoAOTk7QHd8-8BCij6ANT8AAATPPIAoCYAAfQE_P4A3vcAReUJACLlGwD9D_wBPPLkADYRKf_g__b_9Qz0__noEAARGuwB9QPSAQfXGf4lBdz_5wvqBRboKAINBxQEJu7pBc0DAAHyFh0BCyPt_uYfKf_b6wj57_oHAxwPFf4QLfH_BA8CAPcRCwQYyxL9Dfn5Bhz04wUBFQDz2-YcARbw7Qf8IRgJBizh-evY-wXe0Qn4Bh0H8RIXBwL4_Q0G78gIAdIL8wD-0An34xXuBgb77_XuKu37Cu739yAALRggJDs4E0AJSGFQAirPBxAAGsAHdcsCv4RVKz2YQQa9vHo1PuX6kDvUq9K8iSQaPv_a0ToxTJw8D9LzPZDuLL2gBNE8-MGBvn_o-LxEaU89Ci9hPhdxsLxB08Y5ehcvvgg8MD0pn9S85_4qvl3L_zxIdCo89OfRvOg4gj0F7kq9dgk9PY5jWryLUh-8X2VIPNCdYDzzmFy8qU_yPYDzgr3AARK9Y4yZvB1NXLsP8lW8BGvBPRCYQbthHi29vE-PPSvWhT07n0u82WSIvR4XFT1N9s88AYU6Phv_dLz47da73FV-vP3XPr3KILG6RiagvNtPBrwpqFE79OH0PFW6oDzQLwQ756cYPYB3vLyVf628bazkvaYRLj2UTsE7LqvyO9DsnzyvxF44F-8Xvvfdjj1qULQ85XjLOwL73jye6N-8D7-GPe-crD3DVZQ8KZjxPY37BT1yIlG7Eg8LvCQUtjzuKK07v1paPHkXyT3DUAG8_OAcPbnjSD1qu-y7KNXevWgK-LztA7m7swkgvi-FDD1DS4W7DybFvMilYLxwkos7074JPrfrir3SRr87xAVAvW6jwbzkv7y76xPKPAnmQzxuQqu8Q6kdPh9q273Emqk5vz3ZPE4ddbw5W2W7jOgIPbs8QryWQda79Bq7PMVRHr2aedE7X6IwvJAtkL2QE6a7lqUnvbSR67yPsjS8OHGovBliC72lOpE6DW7rPACbYjwQpeY6g7X7vDsECT1WWaW7euSqPSNfrrxvSIK5hHUNvYvYDL2_I3C7J70PvR0gmDwETIk79X6IPTPfAb1AfGw5SC8vPRvUfrwCxga5c_QIvnGpr7xNUMi5kG30PLLoR71t68C58EGZvCRz47n0-A26ga8oPYwub70hivy5FK0BPQTAnTwq8KO4EZMLvVuIhDwQ_8o49ADxuw08Er2eLaw2ZyzavK0kSD3PDDC3ztnpOsBIYz3SS7E48Qw_PTKpArxEDKu4i6sIPOgBAj1xNU43QfEDPXFPwb3XOHs57URJPVvs9jzjfGc4dUc1vB3TST37LDK39dnguhoa6rxYVcg3xzdqPSBfgr12-co20UQTPc2KLT3JZzS4my3uu9NbzTwZwQI5QWliO_BA0zxi-_w2nquXPUtph70YaaA4Pw-PvceMJrwU4qS3WL6YPc3mkb2SWx25oQ_WPBeFersb3Ru4wyb9t7NDjL1Nig43kszqvYYhcjwUg5A43uhePXjlhL1BUrS4iITPPWuySz2Jt4U4RTisvbnUgj3yyA-4squPvXy6-jxzlDQ3wHJpvfg7r7xQuLS3IAA4E0AJSG1QASpzEAAaYCf0ABP4MOX3Fy337ufBHuf-4_krwwgA4voAEwjp9Bct7bwc4_8R1iHosAAAAPn4BCLsANpo5eznJuzxC_uw6irifwgd_Nqy4vDK0_MZ_Pj_H98VNADuCKokPPC3LhQ0JCAALV7pMjs4E0AJSG9QAiqvBhAMGqAGAAAwQgAAUMEAAFxCAACAPwAAMMEAAKDAAABkQgAANMIAAAAAAACgwAAAAAAAALhBAACAQQAAEEEAADBCAAAgQQAAoEEAAEDBAACAQAAAgMEAABzCAABswgAAgEAAADRCAABQwQAAYMEAAJDCAAAwQQAAyEEAAIRCAADAwQAAEMIAANBBAAA8QgAAxMIAAMDBAACAwAAAUEEAAMBAAADIwQAAeMIAAOBBAADgQQAAGMIAAMhBAADAQAAAAAAAAATCAAAMQgAAAEIAAADAAABgwQAAmMEAAAxCAAAAwQAAJMIAAIDCAADYQQAAAEEAAChCAACYwQAAyMEAAIbCAAAkwgAA4MEAAATCAACQwQAApMIAABjCAACIQQAAAEIAADhCAACwwQAAeEIAAKDBAACQwgAAhMIAAIjBAACYwQAAgL8AAIjCAABAQQAA-MEAAJbCAAAAQQAAgkIAAJjBAAAgwQAA2EEAAIC_AABowgAAIEEAAIBAAAD4wQAA2EEAAGDCAAAwQgAAFMIAAHxCAAC8QgAA8MEAACBBAABgQQAAmMIAAKjBAAAAAAAAsMEAAIC_AABkwgAAnkIAAKRCAABQwQAAFEIAAIBAAABAQAAAwEIAADDBAAAgwgAAQEIAALrCAAAAwQAAgEEAACBBAACEwgAAsMEAAPjBAADgwAAAgEAAAAAAAAAQwgAA6MEAAIbCAAA4QgAAdEIAACBBAACAwAAAoEAAAADAAADIwQAAxMIAAEhCAAB0QgAA0EEAAIC_AACwQQAAYEIAABDCAAAQQgAAYEEAABTCAACAPwAAoEEAAADBAAA8wgAA-MEAALjBAABEwgAAgMAAACDBAABAQQAAYMIAAExCAACgwAAAYEIAAHBCAADowQAAQEAAABxCAABMQgAAdMIAAKjCAABAQQAAUEEAAKDAAABgwQAAfEIAAHBCAABAQQAAKEIAAEhCAABAQAAApsIAAADAAAA0wgAABEIAAEDAAABYwgAAkkIAAODBAACAvwAAgMEAAHBBAAC4QQAAiEEAALjBAADoQQAAWMIAAOBBAACgwQAARMIgADgTQAlIdVABKo8CEAAagAIAABA9AADCvgAALD4AABC9AABAvAAAHD4AAEw-AAAjvwAAqr4AAIA7AAAkvgAA-L0AAKg9AACOPgAAFL4AADC9AAAMPgAA2D0AAOC8AADuPgAAfz8AAAy-AABkPgAA2D0AALi9AACovQAAjj4AACw-AAB0PgAAoDwAAJI-AACgPAAA4DwAANi9AAAwPQAAXD4AAGQ-AAAwvQAAvr4AAIi9AACAuwAAfL4AANY-AAB0vgAA-D0AADw-AADYPQAAJL4AAIo-AAA0vgAAqD0AAIA7AAB8PgAAbD4AAAy-AACgPAAAPz8AAFA9AACgvAAAzj4AAIg9AAAkPgAAfD4AAMg9IAA4E0AJSHxQASqPAhABGoACAAC-vgAAML0AAHC9AAAjvwAAmD0AAOC8AACqPgAAdL4AAJg9AAAMPgAAoLwAAKg9AABkvgAAUL0AADA9AABQPQAAyD0AACM_AABQPQAAEz8AAOC8AACgvAAAHL4AAIC7AACYvQAAXL4AABw-AACoPQAADD4AAKA8AACgPAAAbD4AABy-AADovQAATD4AAHA9AACSPgAAHD4AAJ6-AACAuwAAFD4AAHC9AADIvQAAEL0AALg9AAAkPgAAf78AANi9AADYPQAA4LwAABw-AABwvQAALL4AAOA8AAAcPgAAND4AABA9AABwvQAAND4AAGw-AABwPQAAVL4AAHC9AAA0PiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Z9QtSa26C0g","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10203754293402798108"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"243911946"},"8705908052642406455":{"videoId":"8705908052642406455","docid":"34-3-17-ZD9C4D145DBEA1174","description":"Full notes for IBDP Maths Analysis and Approaches Updated every Friday.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3316528/3b33075373f4f0ad3f58ed16fd950baa/564x318_1"},"target":"_self","position":"12","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGpe_JLwgGSo","linkTemplate":"/video/preview/8705908052642406455?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"IBDP Maths Analysis and Approaches 1 4 Binomial Theorem Full Notes","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Gpe_JLwgGSo\",\"src\":\"serp\",\"rvb\":\"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-BoIEJAGABCsqiwEQARp4gfLuBPz_AQD0AQMFCAX9Af4L-PL3_v0A9QD19AMC_wD19wP_9wAAAAsK-Ar8AAAAD_7xCf_-AgAEAfX-BAAAABYOCP71AAAABhoFBv4BAAD8-_32Av8AAB72BgMAAAAA-v3-AwEAAAD0DQYGAAAAAAb6-v379f4AIAAtydbUOzgTQAlITlACKnMQABpgDA8AFycpydUBEuLtBvv9__f59PLo-wAJFgD7_dLDAQ2-qgwk_xvmLva6AAAACvLaIvQArlnk79b3F-j47ebnHQt_DAXK4bAG3snq7hMrCx8J0RHkAOkV5BMM4-g5HyQuIAAtrm5AOzgTQAlIb1ACKq8GEAwaoAYAACDBAACowQAAXEIAACBCAAAMQgAAyEEAAHBBAAAgwgAAkEEAAOBAAACAPwAAQEAAALDBAABcQgAAIEIAALjBAACAwQAAlMIAAJDBAABgwgAAoMEAAEjCAAAAQQAAokIAAJZCAADgQAAAWMIAACDCAAAkQgAAUMEAALjBAADgQQAATMIAAIC_AABgwgAAmEEAAADBAADQQgAAOMIAAIhCAADgQQAAgMEAAHBBAADIwQAA4EEAAPDBAAAAwAAAQEEAAKxCAABAwQAADMIAANjBAADYwQAAwEAAAIRCAAAYwgAAPMIAALBBAABMwgAAkEEAALBBAADAwAAAAEIAADTCAACAQQAAsMEAAOBAAADQwQAA0MEAAAAAAACcQgAAgEEAAKzCAABUQgAAGMIAAObCAABwwgAAIMIAAIBCAABAwQAAGMIAANjBAAB0QgAAJEIAANjBAAAcQgAAQEEAAJhBAADoQQAAEMEAABTCAABwQQAAwMEAACTCAACgQQAA-MEAABBBAAAgQQAAWEIAAPBBAABswgAAfEIAAEBCAADGwgAAiMEAAEBBAACAQQAADEIAAKDAAAA8QgAA4MEAANDBAACAwAAAMEEAALjBAAAAQAAA-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-AAA8vgAAUD0AAEA8AACgPAAA4LwAAHw-AACGvgAANL4AAII-AACgvAAAUD0AAJI-AAB_PwAAoDwAAMi9AAA0PgAAML0AABC9AAC4PQAAUD0AANg9AABkPgAAQDwAAOi9AABUvgAAMD0AAIA7AADgPAAA2D0AANi9AAA0vgAALL4AACy-AABQPQAATD4AAJi9AAAcvgAA-L0AAGQ-AAAwvQAAoLwAAFy-AAAsPgAAyD0AAJY-AADoPQAA-L0AAAS-AAAbPwAAED0AAIC7AADgvAAAcL0AAJi9AAAUPgAAmL0gADgTQAlIfFABKo8CEAEagAIAACS-AACovQAAEL0AAA2_AAAwvQAADD4AAAQ-AACAuwAAqL0AABw-AAAsvgAAmL0AAFA9AABQvQAA-D0AAIC7AABwPQAAIT8AADC9AADCPgAAFD4AAIi9AAAQPQAAFL4AAMg9AAAcPgAAED0AAFA9AADgvAAA-D0AAOC8AADIPQAAQLwAAIq-AABQPQAAiD0AAFA9AAAsPgAA2L0AAHC9AACCPgAAoDwAAGQ-AADgvAAAUD0AAOi9AAB_vwAAML0AAIC7AAAsPgAAyD0AALi9AACovQAALD4AABw-AABwPQAAoLwAABC9AAAsvgAA-D0AAAw-AABAPAAA-D0AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Gpe_JLwgGSo","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["8705908052642406455"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"1004393986377245047":{"videoId":"1004393986377245047","docid":"34-3-1-ZF14FB71525ACA08A","description":"The twentythird class in Dr Joel Feinstein's G12man Mathematical Analysis module covers sequences of functions. at: http://explainingmaths.wordpress.com Dr Joel Feinstein is an Associate...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/779490/a3fb75f7e4219399ceb36aa25cd0b18b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/MIr_JQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFUiI0qmzP6I","linkTemplate":"/video/preview/1004393986377245047?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Lecture 18: Math. Analysis - Sequences of functions","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FUiI0qmzP6I\",\"src\":\"serp\",\"rvb\":\"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_6AQD8BQDy-___CAL_AAsA-_r3AAAA7Q79_fv_AADvAAX_DQAAAAUN9AoFAAAAAPvyDPn-AAAMBvUDAwAAABMLAAH-AAAABgv6_f4BAADt_wIIAwAAABb7_P4AAAAAAAcC9wMAAAAFDPkDAAAAABEL9QgAAAAAIAAtfGXeOzgTQAlITlACKoQCEAAa8AF_6A4AxAnfANwD9wDpDdcBiQoq__0y0wDL4REBzQT7AdT45wD2D_3_9wsmAM4t_v8s3vEA7OH7ACnYDf8Z3wABB_4QAQPdFAJG8wUAIvfSAr4pCf7_4SABEdz3AA0Y8v738Pf_-QHJ_-0DwwIk-y0BHy4RBfoBBgHb2PcC6fb1As3dzPslA_4E8OXv-9gaIAIa6f4B6D78_87z3v4aB_368vQb-Ss01v9d6xYK9An-B9X97f8fEvAHHSUK-tj29PXn8Bj51eYT9_wFAg_w5RL69Qn0ECXn9wj_5AQC9-IQ_N_z7AHLEgQC6uT1Dczb_fwgAC3RQhc7OBNACUhhUAIqcxAAGmAe8gAK4DzX7Ak0AA3i9O3O8PfINND6__TW_wLs2QLsINSx-P7_I8cs2qMAAAAk8_ss8ADeb9_5DyMH7xTEue0WKH_Z_B682BT7vekOFAYYK93IDGMA-xSXKxPOqjc3WSggAC2_qBw7OBNACUhvUAIqrwYQDBqgBgAAQEEAADBBAACAQgAAHMIAAEBAAAA4QgAAoEIAAMhBAAC4wQAAmMEAAIDBAACIwQAAeMIAAEDBAACYwQAAAEEAAEDBAACUwgAAIEEAALDBAACgQAAAQMIAACDCAADQQQAAEMEAAIA_AADowQAAoEAAAABBAAAIQgAAkMIAAARCAACgwgAALEIAAIrCAAAswgAASEIAAHBBAABYQgAAgEAAAIBAAADIQQAAgMAAAMDAAADIQQAAKMIAAGDBAABAQQAAOEIAANhBAACIwgAACMIAAADCAADYQQAA4EEAAMhBAABQwgAAVMIAAIA_AADwQQAAPEIAACzCAABgwgAAAMEAAIBAAACKwgAAwMEAAAjCAABAwgAALMIAAM5CAAAAQQAAXMIAAHxCAABAwAAADEIAAFTCAAAwQQAATEIAAARCAABAwQAAvEIAABBBAAD4QQAAAEAAAFBCAAAgQQAANMIAABxCAABQwQAAwMAAAFBCAAA0wgAAAAAAAGBBAACmwgAAkMEAAHTCAAAkQgAACEIAAMjBAADgwQAAMEIAABBBAAA0wgAAbEIAACDCAAAEQgAAcMEAAChCAAAsQgAAgMEAAHDBAAAkQgAAAMEAAIxCAAAYQgAA4EAAAHzCAACAwQAA-MEAACDBAAB0QgAAiMEAABjCAADwwQAAJEIAABjCAAAAAAAAwEEAANBBAAA0wgAAoEEAAGxCAADgQQAAQEIAAKBBAABQQQAAEMIAAEDCAADAwAAAWMIAAIC_AAB0wgAAEMEAAMBBAADgQQAAwEEAAGRCAACAPwAAwMEAAAhCAAA0QgAAoMAAAODBAACgQQAAdMIAANjBAAAswgAAAEEAAFTCAABAQgAAcEEAAMBAAACowQAAUMEAAIDAAACiQgAAvEIAAOjBAACoQQAAdEIAALDBAAB8wgAAHMIAACDCAAAMQgAAgEAAAODAAACgQgAAtsIAAJDCAACAwQAAEMEAAFRCAAAIQgAAVMIAAADCAADQQQAAgEAAADBCAAAAQQAAAEAAAGDBAAAAQAAAlkIAAKRCAADAQQAA4EEAAKjBIAA4E0AJSHVQASqPAhAAGoACAACAOwAAyL0AADA9AAAwPQAAUD0AABE_AACAuwAAB78AAKa-AAAEPgAAMD0AAFC9AADIPQAAoj4AAPi9AADIvQAAmj4AAOC8AAAkPgAAxj4AAH8_AAAwPQAALD4AAAQ-AADgvAAAuD0AAOA8AAC4vQAAqD0AAFQ-AAA8PgAALL4AAJi9AAAsvgAAnj4AADA9AAD4PQAAuL0AAL6-AAAEvgAAXL4AAEC8AAA0PgAAFD4AANi9AADIPQAAcD0AAJa-AAAMvgAAnr4AACy-AABwvQAAnj4AAHA9AAAQPQAAED0AAA0_AAAEPgAAgj4AAMg9AABAPAAA6D0AAHA9AABAvCAAOBNACUh8UAEqjwIQARqAAgAA-L0AALi9AAAcvgAAFb8AALi9AABQPQAAxj4AAAS-AADgPAAA6D0AAIg9AAAwvQAAiL0AAEy-AAC4PQAAED0AAJY-AAABPwAAEL0AAAE_AACIPQAAbD4AAPi9AADgPAAAoDwAADC9AABwPQAABD4AAIg9AACgPAAAED0AAFQ-AAB0vgAAvr4AAIC7AAAEPgAAbD4AAPg9AACWvgAAQDwAAAw-AABwvQAA6L0AAMg9AAB8PgAAHD4AAH-_AADYvQAAgDsAALg9AAAMPgAAQLwAAKa-AABAvAAALD4AACw-AACAuwAAoLwAAJg9AAAEPgAA2D0AAEC8AAA0PgAAcD0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=FUiI0qmzP6I","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":568,"cheight":360,"cratio":1.57777,"dups":["1004393986377245047"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"949622774"},"12923638403247838310":{"videoId":"12923638403247838310","docid":"34-8-14-Z9C2216E3465841E4","description":"In this video I go over a great book for Beginners trying to learn how to write proofs in advanced calculus which is also known as mathematical analysis. consider liking, sharing, and subscribing.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4375916/94c3e25cebc175e12556f4ff49fd4f14/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/F30fEAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D42IP_U4NnBc","linkTemplate":"/video/preview/12923638403247838310?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus/Mathematical Analysis Book for Beginners","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=42IP_U4NnBc\",\"src\":\"serp\",\"rvb\":\"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_E_ECggQkAYAEKyqLARABGniB6vj8-wL-APX4BgkPBvwBDQb_AvYAAAAEB_QC9wP_AAYHBf0IAQAA-RH9_fsAAAAA-_EN-P0AABP_7wgCAAAAIg38-PsAAAANDu4C_wEAAAP4_AYD_wAAFAQB_f8AAADzCvn_AwAAAPoC8g4AAAAADgLx9gAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAX_5_wGxDOz9JAoCAOwY-wHCG_kAJP_dAL4N7QDq-_0AKRfQAef-3gD45RoAzQPf_xDfwQLy4t4ANQ3wABULHQABJjcAJ-kCAA7n_gAA8QMACP0C_-_vFwIl_wsBDR4f_foRI_4JKQD9AQMGAjD99gUMBxME6vwG_hwCAv7w-AwF7cPz_d8g9_3lBPb5-h0XBOrpBwUI_e4EzjEFAx7-6gIP_PIHCfcO_P_fBQnSBvf98usDBv4f1_0YIAj7xubr-hL4__zn5vII-dsNCAvrB_3C_P76EewWCQ8R8g8m8v3_6wYFARv-DgD-AOwG-9n0ASAALZx_MTs4E0AJSGFQAirPBxAAGsAHdcsCv4RVKz2YQQa9ByQxPofh47xbJRa8E7gFPnwBlz2-vla8EQaZvSGPNbr1wY28tw2TvhtUEzwbtBy9xVWFPlQwb72bfyq8NXk6vg6rkTtKfkQ8Meoqvrpw1jpBEhG9UANBvZinU72sg009_fOpvZUyALwV3LQ8YlEsvWRSqDyolmO8xaOuvWrU7Lvxe587yUBZPe8zk7yr1vi8xr6pPU8qUDxJHAs8oZR6PWRoq7zBqrq82xkWvq99ATzCxzu9lMIcPuST37t6oxs97N5KPXvFjr2IeuY85V4AvU2YurzY_2-8LPWXvQ1WtzzKb_K78G5gPVtVO71W2Ge87pPIvO90Jz0PFga8Ka6qPJZKrj34P9m7gcaWPfHcVjwDVcg8kfqRPYIl8jyQNoY7AUCEPflf-DxRNA28oiO-vUFfXz1Wto88m3-qPAXE5D1kqBC8et6dPcXtKzzwSwI9jBeWvRwN3Lsjygs6U6YiPUycprxrjMy8SWFDPRlUYL3F58486aKMvTc1UDxybHs75WyQvZ7dkDwOwje8HtOUPRRJir0HgXC8IrCYPRbGcTwju3e8NQcIvb6CGT3FgHy78IXJPFskjT0RREy8GuKzPCvKurvI85q5t0TuvcCexLsFepe7GlUBvYuBHz11LCW89VMxO1OtKjzw2BO8vxE4vJzslbwBVG27DxfvvOKfuL0qoBq6mqdEPZwYUr0-_hi7c2fmvPvfWz3rmqA6mERHvZrTID0ivnq7J70PvR0gmDwETIk7Ke4XvHjUWL1VZ8i48DvhvCwv1DwR7iU7GO3xPG8ArLxK3Qm6ZOuJPfiBdTz1GV64I64QvPNc-DsIZTI4r2slvZN9Rrx_pTa6uxqPuhb33z1wBOs4p0fJvJsTxb0DArM4o4h2vUeIVz3WMDi4QW2KvFIMUD0K5ee4KDGEO4N8GLw4Fng5oPvyPOcqZ70ZrWc4rEyCvTFnsT2r-0g4ten-vGWEnDzXJoC4kR-7vKPuXj00e-O2ksyqPCJVBD4FDR83322OPbRgGL2pc6a2yct6Pfq2EL7dU6S4s0C7vABAKT2TtjU46hAOvZqkx7vA2W04JvVvvZgycD0sne44hXq6PTompjzH6Gg4cU_hPLmAwLqkzK23tSWxPetQ8jx6vEi5P4wAvmzoiz24if-4znI0vF0Py72ocJu3SGl7PfO38zwslea3U2VOPHtclb1edby3ITK2PDs54z0EGwY5BRxdPdYQ5jz4EM-4JrVlO8ykfL0gvNe3j7k8PVDBxjxtdJU3IAA4E0AJSG1QASpzEAAaYCMCAEUPErHPDU3eDenn6N4O3PAk3iL_1yb_EgHu5AF_zOsVFf8F4d7VpQAAAPfX6zQqAPF6x-jD-Ai6-f602Q7vZhoJDdTWDwazC_oO0wVUCgA1QgDa8a4tH8TtKBlnHyAALcNaGjs4E0AJSG9QAiqvBhAMGqAGAADQQQAA6EEAACxCAABAQQAAoMEAANBBAADeQgAAqEEAAFjCAAAMwgAAYEEAAFBCAAAMwgAABMIAACRCAACAQQAAyEEAADDCAABQQQAAhsIAAKhBAAAwwgAAuEEAAABAAADYQQAAEEEAAIjBAADAQAAAoEAAAJhCAAAAQAAAiEEAAGDCAAAAQAAApsIAAJjBAACAQAAA_kIAAIDBAADgwAAAQMAAAFBBAAA0QgAAIEIAAIBBAABcwgAAwEEAAADCAADYQQAAcMEAAIA_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-EEAAPhBAACawgAAqMIAADTCAACAQAAAEMIAADBCAACgwAAAAEEAAFDBAADYQQAAUEEAACRCAACOQgAAqEEAALjBAABgQQAAvsIAAIC_AAAYwgAANMIAAHDBAAAEwgAAgL8AAKhBAACgwQAAkMEAAHjCAAAAwAAAkkIAAFBBAADgwQAAqMEAAJBBAACgQAAAiMEAAGBCAABQwQAA8EEAAOBAAADAwAAAREIAABDCAAAAQAAAmMEgADgTQAlIdVABKo8CEAAagAIAAPq-AADovQAARD4AABw-AAAEvgAAmj4AABw-AAAJvwAARL4AAOg9AACAuwAA-D0AAEC8AAA0PgAAXL4AAOi9AAC2PgAAmL0AAJ4-AAApPwAAfz8AAKK-AAC4PQAABD4AALi9AABsPgAAcD0AAGw-AAD4PQAAJD4AAPg9AADCvgAAED0AAPg9AAAcPgAAoDwAABA9AAAMvgAAPL4AAOA8AAA0vgAAoDwAAN4-AACgvAAAlr4AALg9AACyPgAA6L0AAIA7AAAwPQAAJL4AAKg9AAD4PQAA6D0AALi9AAAQPQAAOT8AAII-AABUPgAAcD0AAPi9AACgvAAA-D0AAAQ-IAA4E0AJSHxQASqPAhABGoACAAB8vgAAHD4AABA9AAAjvwAALL4AABQ-AACKPgAAgDsAABA9AABQPQAAQDwAAIK-AADIPQAA2L0AACw-AABAPAAATD4AABc_AAAsvgAAdD4AAOC8AAD4PQAAcL0AAHA9AACIvQAA4DwAAKC8AAAkPgAABD4AACS-AAAQPQAABD4AAIa-AABUvgAAqD0AAMg9AAC-PgAALD4AAJ6-AACGvgAAPL4AABA9AADYvQAAuD0AABQ-AABQPQAAf78AAHQ-AABQPQAADD4AACw-AAAwvQAANL4AAKI-AACIPQAAJD4AADA9AADYPQAAJD4AAPg9AAA8PgAADL4AALo-AACgPCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=42IP_U4NnBc","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["12923638403247838310"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3268559350"},"15860498510847744174":{"videoId":"15860498510847744174","docid":"34-1-12-Z94A9B3D30C44C201","description":"The fourteenth class in Dr Joel Feinstein's G12man Mathematical Analysis module is the second examples class for the module. Further module materials are available for download from The...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/926962/51691cc5a386d6792943ecd56484b671/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Y5jjWQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D28z1dgg477g","linkTemplate":"/video/preview/15860498510847744174?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Workshop 5: Math. Analysis - Examples Class 2","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=28z1dgg477g\",\"src\":\"serp\",\"rvb\":\"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_E58LggQkAYAEKyqLARABGniB6vj8-wL-AAP_BQEOBv4CAhX6-vb__wDw-vIE-AH_AP31BwQCAAAA-hDv_wQAAAAP-_4M9v8AAAUC7AcCAAAAEQf-CfYAAAAKEfoP_gEAAOzxBPQCAAAACPz7C_8AAAAA_wQBBAEAAAAT_P8BAAAAFQL5AAAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAX_oDgDl7s8BzOblAMUX3_-9BPD_HSbhALrYAgG7H-4A0wcKAAYZ9gHSDCgApBIMASTs2f_v0eoAJNfw_wrO_QDhAw4BEsgDADcnGAD7AQ7_4SEs_ebjCgEp4dkCBf7zAP7lKAD2CuIC7QPDAjkMLAAJNRUBDQMWAd6y_QHF8AL-DNHX_iQP8wX-7xUA4-wK_y_29f4BFQL65x_pAvEJHAb-4Bf9CC3W_ikHGQD4Fvb-4wP_BBEB3gEENRX_zhTs_drhCfb29g3vG_vsBQ3nCP367Q0DJef3COvg9Pfr5gD87APx8wIBDQHi9P0N4Aj17SAALdFCFzs4E0AJSGFQAirPBxAAGsAHBwfbvnkDjDzKZzE6moKbvam1F7wDBV69OWTjvbLSCzuJAy29kKIePkoS3zy3QwE8lpNAvqLMqzzo0mQ8xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S89aFrvoTTBz10NcO7O56APSjABr2RjOY6VFMCPtxLOr12zBC8yVfCvOYMAD1C7gK9K4jBvMMXHL1JW-a8v7NCPZRCqLtHUCE9IOsJPsVt2byqmTW8zvYNPXOL1Lzf0bG7fc-ovfbaBzz0QBi8g5GtPbDxjz0McCY93FV-vP3XPr3KILG6bAeDvc0W2jyWMIm8WPMtvHURNT164U68u7upPZIkiL1yKFm6qMghvgJ8HD3o6W083bQZPj0W0TwDYPq7HtKpvRbyzjpeMqk8UocPPFATorygbIq8TxTyPMQtuDtdmqo7PF23PdYleT2KNQo6Y2A9PQ8uyD19-e48_h_xPHz-ar1cGM688UibOtGuQjyJkjW8jZuavXOVOD3s-4u8vtuMPUtV-zo7tak8hBwIPMO2Kj2CChw8LcoRPV8XhL2aQ_M7Yyp9vKNFzL2HKka8HW3BPTlpED0uBX-8V1gVPYtUeL2SEN27QI5BPCxEx7yzEk68NSllPaGBuL1qUA87mHx9vR7GZD3dUAK8ZCe0OydTIju-gW68s4EvvWTrFD0GkbW7O4kMvARpEL1BFp47ow3GPZavyzpgbr07inyyPHJmkD2MOTQ6B-7gPXrcHrv2pQ66VmGovV9wF73joK25p9lyvLDDGjwlTAO7lEC0PeDNZL3ih2o5DBIRPSpSArseR5U4chGEvGIQ2D2E1A63hfkhPcnQDL1qNvy1FJ2LvYl64b3GJ3A5RrkvvdzFCr14RbO5qdMqu8BeYTzdW2s2EvVCvSIY5714Guo36ln1vBF55jwL7Ns4sPOwPRPffTsTLJ-3TkWqvM-j4ry-pFM57Ak8vXIl8bzWYoA5vH0RvfUnNj3h9bo4mLRSOz9wxb33LmA5Hs6yPLYlVz2rSUy35x84PQ_vuT20aLk4Ko5DPeIC0D27Afc4r9gZPPPalr1JWh-3zedcPUczmz3VLSW5oFDPvRXvhj3C0gI42kJGPPj6Wr0o4xm4zHvcPZLDcTycQoo3b7eJPEJRajyHQik4raf2PbPqmLx7Ozq5IHJkvZ7ZKb0EK3-4h2cOvfRlLr3N0hC4zJrYvOO1YT2Q36G37AO9O3zUD74X-ty4yvRwPSLhKz7xy4o4WZZ5PMUMYz0buI64w_PSvY6KBL2Hssm2fCcmvU4zkzxdNco4IAA4E0AJSG1QASpzEAAaYAfwAB0WPc8II0ro894cIuDU9b43yBT_-wP_DOzMAQVLzaUG6P8gsj_QmwAAADL99B4XAP9_yOz3FkPnNaik7ikWceQRO77TEfi84jkHAwoeC-M0awD09KJfGOagRA4nIiAALb3EDDs4E0AJSG9QAiqvBhAMGqAGAACAwAAAkMEAADDBAACQwQAA6MEAAHxCAADMQgAABEIAALzCAADEwgAA4MEAACxCAACIwQAA8EEAALjBAAAAwQAASEIAAHDCAAAwQQAAgMEAAERCAAAQwQAAJEIAAJjBAACAQAAAAEIAADTCAACAPwAAoMAAACBBAAAMwgAACEIAABDCAACwQQAAmMIAACDBAAAAQgAAREIAABDCAAC4wQAAYEEAAFDBAADAQQAAYEEAADDBAADAQQAAgEAAAOBAAAAAwQAAgD8AAJjBAACgwQAAYMEAAHBBAABQwQAANMIAAMDAAACCwgAAiEEAAKBBAABgQQAADMIAAGjCAABQwQAA6EEAAHDCAACAQQAAiEEAACzCAACAQQAAnEIAAPjBAACAwgAAvkIAAIC_AAAwwQAAYMEAABxCAACcQgAAqEEAADBBAADAQgAAgsIAAJDBAACAwQAA4EAAAKhBAAAcwgAAMEEAAKDAAADgwQAAIEIAAGjCAABQwQAA2MEAAMzCAAAQwgAAwMAAALhBAADwQQAA0EEAAEzCAADAQAAAQEEAAHzCAAAkQgAAOMIAAOBBAAAwQgAATEIAAJhBAACAwAAAiEEAAFRCAACAPwAAiEEAAIJCAACYQQAAwMAAAHBBAACgwAAAQMEAAKpCAABAwgAAeMIAAODBAAAUQgAAkMEAAJjBAABAQQAAoMAAAETCAABAwQAAUEEAAKBBAABAQAAAcEEAAMDBAAAQwgAANMIAAGTCAABAQAAA4MEAAKjBAACIwQAAAMAAAEDBAAAQwQAAOEIAAI5CAACAQQAAGEIAAMZCAABswgAA-EEAAKBAAABgwgAA8MEAADBBAADEQgAAYMEAADhCAAAwQgAAGMIAAIBBAABsQgAABEIAAARCAACCQgAAsMEAAIBAAACgQQAA4EEAAJLCAADYwQAAyMEAAKBAAABcwgAAAMIAAJ5CAACIwQAAhsIAAJDBAABkwgAACEIAAOhBAAA0wgAAPMIAAGRCAAAgQQAAREIAAAhCAABAQAAAwEEAACRCAAC4QgAAcEIAADBBAADIwQAASMIgADgTQAlIdVABKo8CEAAagAIAAJi9AACKvgAALD4AAEQ-AABwPQAAbD4AABC9AAAvvwAAFL4AAPg9AADgvAAADL4AAIi9AADqPgAAHL4AAEy-AADWPgAA4LwAAHw-AAAxPwAAfz8AAAQ-AACgPAAALD4AAAS-AACIPQAAND4AAGS-AAA8PgAAgj4AANg9AADYvQAABL4AAEy-AABEPgAAUL0AAKg9AADoPQAAZL4AAEA8AAB8vgAAuL0AAHQ-AAAQPQAAlr4AAKg9AACGPgAAlr4AAJi9AABEvgAAmL0AAKA8AADYPQAAlj4AAIA7AADgvAAATT8AANi9AACIPQAAhj4AAFC9AABAvAAAFD4AALg9IAA4E0AJSHxQASqPAhABGoACAACGvgAAiL0AADS-AAAvvwAAyL0AALg9AACWPgAAcL0AACw-AAAUPgAAQDwAAEC8AABcvgAA-L0AAHC9AAD4PQAALD4AAB8_AAAcvgAA-j4AAJi9AADIPQAAPL4AABC9AACYvQAABD4AAJg9AADIPQAAgLsAAPg9AACIPQAAXD4AAHS-AACWvgAAyD0AAJg9AACGPgAAUD0AALq-AAAQvQAA6D0AALi9AAAkvgAAUD0AAEA8AADIPQAAf78AABS-AACYvQAAcL0AAMg9AADgvAAAfL4AAOC8AADaPgAABD4AAKA8AADgPAAADD4AAAw-AAAUPgAANL4AAHA9AADoPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=28z1dgg477g","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":756,"cheight":480,"cratio":1.575,"dups":["15860498510847744174"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2397558409"},"16261051200182209531":{"videoId":"16261051200182209531","docid":"34-1-1-Z64BB2405191CDB62","description":"Hi! Welcome to my first video. In this video, I will be going over the subject brief for the new IB Mathematics Analysis and Approaches HL course. Subject brief...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1878541/a71b66a273e83727374cf01314ff828c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/TmE38AAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjjU_ix0VJGg","linkTemplate":"/video/preview/16261051200182209531?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"IB Mathematics Analysis and Approaches HL Subject Brief","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=jjU_ix0VJGg\",\"src\":\"serp\",\"rvb\":\"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_E_4BggQkAYAEKyqLARABGniBAP4AAAH_AP4KCAEFBf0BDBH9BfUBAQD0Dvb0AwEAAPP79AQMAAAAAwTsAAYAAAD4-foQ__8AAAAP8woDAAAAFRj4Av0AAAAOGfoC_gEAAO4BBv8DAAAACvcKAwAAAAD8BQ3vAAAAAPoBBf8AAAAAGgvz-wAAAAAgAC30mNA7OBNACUhOUAIqhAIQABrwAX_o9AGMCwb66hoIAB4I6v-49_4ADPvVAJjdEgKkE-b_5BMnAODo8wAKBzkArAUnAb_6_f48HPP_JPIE_wXy9gHz6AIAaAQnAiHsAwES5A3-EQDy_znaGv0z9OsA6Sv9_yfs6wDx5Q0C8RAmA_oaHQL34xAF6BQzAL_l8_-9N-wH1t4GAEXtDAD8Dw78GuLpAyj3BAX2HPX4LRf0CAD5EP0YFvb15QsGAw05CAD2_vEF5t4S-CETCvshA_j0PAQg-6oICvfm9_IK5PcIABQaCAMV1vsL19IDDg0g6P8N1wYP_hAL9Azy9AD1D_cN-dMB6CAALTw7ETs4E0AJSGFQAipzEAAaYPkBAC8TE-zqDSPx5f7T_9QS2M754hr_-t8AFuncuPER18EJ-_8r1xH2tQAAABDg5iMcANpX6Lz9LggBGO7n5y30fwoXAMzRCefIKhMG6_Ut7bkeJADx_ccyLA3TCw8gKyAALbokPjs4E0AJSG9QAiqvBhAMGqAGAAAEwgAA4MAAACRCAAD4QQAAmEEAAEBAAAAQQgAAEEEAAGzCAABIwgAAmEIAAIjCAACAwQAAgD8AAKxCAACYQQAAcEEAAPjCAABwwgAAbMIAAEDAAABIwgAAIMEAAEhCAACwQQAA8MEAACzCAACmwgAAWEIAAPjBAACgQAAApEIAALDCAADgQAAAiMEAALrCAADoQQAAZEIAACzCAADYQQAAQEAAAGBCAACAwQAAgkIAADBBAABUwgAAAEAAANjBAACkQgAAuMEAAN7CAAAoQgAAkMEAAKBAAABIQgAAoMAAAADDAADowQAAFEIAABBBAAAwQQAAQMAAAADAAACCwgAAfEIAAIC_AAD4wQAA4MAAAKDBAACAPwAAAMEAAGxCAAAYwgAAMEEAADBBAACoQQAAQMAAABDBAADIwQAAmMEAALTCAAAUQgAAwEAAAIC_AACowQAAgL8AALBCAADYQQAAWEIAAIjCAACowQAATEIAAABAAACAwQAAiMEAAKDCAACYwQAAwEEAAOhBAAAEwgAAEEEAAIhBAAAsQgAAGMIAAOBAAABQwQAAGEIAALhBAAAAQQAABEIAAGRCAAAwQQAAjMIAANjBAABAwQAA8EEAAPjBAABMQgAAwEEAACBBAAC4wQAAcMIAANjBAACQwQAAIEIAAHBBAAAMwgAAEMEAAIC_AACAwAAAEEEAABzCAAC-wgAAQEAAAARCAAAUwgAAcEEAAKRCAABAwQAA0MEAABBCAAAIQgAAEMEAAAzCAACKQgAAUEEAABRCAADoQQAAmEEAAAAAAACAPwAAgL8AABxCAAAQQQAA2MEAAADAAACgQAAA8MEAAEDBAAC4QgAA8MEAAKBBAACowQAA4MEAAKBBAAAEQgAAuEEAADBCAACIQQAAQEIAACBBAACoQQAAwMEAAKjBAAA8QgAAoMEAALBBAABAwgAAoEAAAIBBAAAcwgAACMIAAADCAADAwQAAQEEAAPhBAAAgwQAAUEIAAFBBAAAQQQAAsMEAAEBCAAAAQAAAQMAAANBBAAAAQAAAwMEAAHTCAACGwgAAwMEgADgTQAlIdVABKo8CEAAagAIAAHy-AABkvgAAEL0AAIo-AACYPQAAij4AAJi9AAA3vwAAjr4AAII-AABcvgAAiL0AABy-AACaPgAAVL4AAKC8AADePgAAiL0AAAw-AADePgAAfz8AAOa-AACKPgAAuL0AAEy-AAAwPQAARD4AADw-AAA0PgAAmD0AAKY-AAAEvgAADL4AADC9AAD4PQAAZD4AADA9AABwvQAAur4AAHy-AACgvAAAQDwAALI-AABcvgAABL4AABC9AACaPgAAVL4AAIA7AAC-vgAAZL4AAJK-AADYPQAADD4AAOA8AABAPAAAOT8AAPi9AACYvQAAqj4AANi9AACYvQAATD4AABw-IAA4E0AJSHxQASqPAhABGoACAABsvgAAUD0AAKi9AAATvwAAQLwAAFA9AACKPgAAiD0AAAQ-AAD4PQAAMD0AAPi9AAAsvgAAFL4AALi9AAD4PQAATD4AABk_AAAcvgAArj4AADQ-AADoPQAAiL0AAMi9AADgPAAAoj4AAKi9AABsPgAAmL0AAKA8AABQPQAAXD4AACy-AADYvQAAED0AAIi9AADuPgAAML0AAIq-AABMvgAAij4AABy-AAD4vQAAQLwAABA9AADoPQAAf78AAMi9AABEvgAA-D0AAEC8AAA8PgAAlr4AAAw-AABUPgAAJD4AAHC9AABAvAAAhj4AAGQ-AACgPAAAwr4AAOC8AABkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=jjU_ix0VJGg","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1672,"cheight":1080,"cratio":1.54814,"dups":["16261051200182209531"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3342184968"},"13513709257048193164":{"videoId":"13513709257048193164","docid":"34-10-16-ZD94379318B81A26A","description":"The first part of the first class in Dr Joel Feinstein's G12man Mathematical Analysis module, is a discussion of the nature of the module, including some examples showing why we sometimes need to...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4318718/0adf645d596e9c60cefe5a32daa26a21/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/i2ycQAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Da0JNGx0Da8k","linkTemplate":"/video/preview/13513709257048193164?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Workshop 1: Math. Analysis","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=a0JNGx0Da8k\",\"src\":\"serp\",\"rvb\":\"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_E90KggQkAYAEKyqLARABGniB6vj8-wL-APL9Cv4NA_4BDA319_UAAAD0BvT99QL_APwCCwAKAQAAFgjvCQAAAAD-A_8R9_4BAAQE9wgEAAAAGwL9APcAAAAHDPn9_gEAAOXq_gADAAAA__z_A_n_AQD-Cf4AAgEAAAUI_v4AAAAADfr4-gAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAWXyAAC6FhH-SP7uAPkX5QGB8Pv_NAfpAMDv_wDB3uoACxf0Adf-DAHw_hIB-f7-ABD37P8f_PwAIAMOACYKCAAYAgEAOeoKASH9EQH_9ur_-gP-_w8GIAALAxEA_xMN_h0TB_7t_eQC8hD7AfjzFwEV-w7-DfP-A_gSAv0CEwsC9PgEAiD3BP_f_wMA_QH-Bhb17gIQDe4B_PL-AvkQ_wMIAAYEG_b2ABsIBQoH8wLz8wEGABD_APwVGQ8G9B0FBwPiAvgH-vj-8w0SBiHeDAHs6RH-9PYC_wMK9gL-2gf55wkB9u8BAAblAgoH-f8D-iAALZD6Tjs4E0AJSGFQAirPBxAAGsAHpOEQv8Lg9TsyDuS8ycpvPdKSojzKQxU7Vf6wPTaWfLrVGD48H4E_vE0s1TyNUte7_Iy7vlpTD7zG6sW7OxlsPq4M6jyCjCU83PQXvn7UNT2qYg08T3iRvmcVTD2p5ou6zbNNPUX9RL22Jbw8IxKVPfy9GT3x1IY7b4sIvUNHB7oj2Bi9fM6SvSYtprxxjXS8U5cMPg6GurxPe6U8dOs1PnAcQryxVPI87cgCPSsSODyRNiO8ZAbqvZokFj2WW5o8BTTxPRUkDbw2Q186fedXPUbF6rtSVPY4HrWDPf7Y_zyJHr67LY4SPJHmmT1M_ic8xS47Pcf3QL3QWOA8XqPAvA1ikT2O06s89fX8PZyiCD3rK1m8PGnBPaQFAz0XKv88Vu-COmtuOzwOgvE6C5YqPXCVJ7yqzDk8LHqMvHZlYTzJLyy7CM1JPX5tojzq_8U7umMWPeT2yzym1Yy7IW0ovRbJEj0QeQS5WGttvUKP3ruLPtW88RL8PcAonL2tKGu7eYQpPRDfEz0gYgM95dUZvSUGAT1dpFA8hd5RPcZ86TvUXWs5M1b2PLibm72WIKc5Y15HPKRQOz35rz27HCFIva_cgTxIwI27NfqHPQ79rrzjmaO7sSQvPehnajxo1Nc7X6IwvJAtkL2QE6a75nqGvbRNGDzsAMK7ls7HPL87g7y_9uU7OpyfPdo6uDxcfEA77yuFvD96O7s4zQ47vaasPKy45zz1q6064gA_vcndjLzDqeY6EWBHPOPpkD1bADA5dQEvvA3EMrwt2pS7u87tO1OFFT2Cb7-31lidPZx4PbwZ-yQ4kG30PLLoR71t68C5NGWnPFMMSjtEF1m5qki1vXvIrTo-LKS4ylOWPJOHqjwSrwA6POedPNZPA7woCkS5ZUSYvHJTQz2tGTG3yHSNPMebPL3EoJC4omkBvCKkE70JrWK5LuI_u5KBEbzB-Nk4QZR5PCLCnrrKP0w3mLRSOz9wxb33LmA5lUFavBJpmzwhNbA4tSE1vC_L8LpcRJ64xqAYveiAh7tv1Ri2UkjPuz48q71PsuQ4DCl1PB7mBj2DLVg3OthxvbFovrsGQCA4xUIovT9gNL1q2JU2eeqNO_94LzxJqCC4tFWuPO4xR7yATJ-3lcBBPXu80DzELwq5JlOFvEhpGz29IYC34AHUPMf1bzy06gI4OTHavHeB97zGrGe3hhAhPVx3073e85u3QstfPWMatz1ukI44BwunvL387j2DtB65BqF8vWAcgTxhfLU3CzFNvK0h57yDGMs3IAA4E0AJSG1QASpzEAAaYB3-AAD4R9rtH1vi1P7iGu8N6ss0siv_4xj_F-jTye1C16sc9_8zxiXhnQAAAPro6Rb1AN1_3t62MfrmJJuv-Cz-be0dDtTCDeTK3-MP2Pkf-eQfSwAK5owPEQKwMzkhAiAALeIeFTs4E0AJSG9QAiqvBhAMGqAGAACIwQAAsEEAALhBAACgwAAA8EEAAHRCAAA8QgAAmEEAAFzCAABgwQAAEEEAAEDCAACSwgAA4MEAAOBBAACowQAAiEEAADDCAABYwgAAyMEAAHxCAACAQQAAaEIAAGBBAADAQAAAqMEAAL7CAACQwgAA0EIAAPhBAAAowgAACMIAABDBAAD4QQAAvsIAAMDBAAAIQgAAnEIAADzCAABAQQAAAMEAAGBCAABAwQAA4MAAAADAAACAvwAAAMEAAIDAAACQQgAANEIAAJTCAADgQQAAAMAAAChCAADKQgAA8EEAANbCAAAwwQAAHMIAAPjBAAAAwAAACMIAACjCAACmwgAAAEAAAAjCAADYwQAAwEAAAFTCAABQwQAAZEIAAChCAAAAQQAAQMEAAMBAAABYwgAAoMEAAGzCAAAMQgAAFEIAABjCAABgQgAAEMIAAEBCAAAgwgAAHEIAAGRCAACAPwAATEIAAPjBAAAsQgAAUEEAAEBAAACiwgAABMIAAIrCAAAsQgAAQMEAAEBAAACAQQAAdMIAAHxCAABcQgAAUEEAAFBBAADYwQAAOMIAACBCAABowgAAUEIAAABAAAAAQAAAcEEAAMDAAACQQQAAqEEAAHBBAAAowgAAwEAAAOhBAACAPwAAgMEAALjBAABQwQAAQMAAAIBBAACgwQAAgD8AAMDBAAA0wgAAYEEAALDBAACowQAAMEEAAATCAABAQQAAgEEAAADAAACAPwAAlsIAAOBAAABgQQAAYEEAAEBAAAC4QQAAwMAAAGTCAABAQQAAgEAAAJjBAAAYQgAAkMEAAGBCAACIQQAAKMIAALjBAAA4wgAAJMIAALDBAAA0QgAAMMIAAABAAABAwAAAYMEAACDCAAAgQgAAAEAAAIxCAAAAQgAAAMAAAADBAABwQgAAgD8AAAjCAAAQQQAAwMEAANhBAACgwAAAcEIAABRCAAAQwgAAqsIAADDCAABwQgAAxkIAAEBAAABcwgAAuEEAABhCAABwQQAAgEAAAJjBAAAsQgAAqMEAAABBAACQQgAAMMEAALjBAAAAwAAAAMEgADgTQAlIdVABKo8CEAAagAIAALi9AABUvgAABD4AAFQ-AABQPQAAlj4AAOi9AAAnvwAAZL4AANg9AACYPQAA2L0AAOC8AACePgAAqL0AAPi9AAAFPwAAoDwAACQ-AADePgAAfz8AABQ-AAB8PgAAuD0AAJg9AACAuwAA2D0AADC9AAAEvgAAZD4AAHw-AAB8vgAAUL0AAIA7AACAuwAAED0AAOC8AAAkvgAAyr4AANi9AAA8vgAAjr4AAI4-AADgvAAARL4AAIA7AABUPgAALL4AADS-AACGvgAAoLwAALi9AABkPgAA2D0AAIC7AAAwvQAAaz8AALi9AAAcPgAAuD0AAPg9AAC4PQAA2D0AAIi9IAA4E0AJSHxQASqPAhABGoACAABsvgAAyD0AAJa-AAAXvwAAHL4AADQ-AACSPgAAgLsAAAQ-AABUPgAAoDwAAKC8AAAMvgAAUL0AAIg9AACIPQAAVD4AABs_AABcvgAADz8AABA9AADIPQAAyL0AAHC9AACIvQAAiD0AAEC8AADoPQAAQDwAAIA7AADgPAAAuD0AAKA8AACKvgAAND4AAOA8AADYPQAAuD0AAES-AAAQvQAAVD4AANi9AAAwvQAA2L0AAEA8AABUPgAAf78AAFC9AADIvQAAEL0AAAQ-AABAPAAAZL4AAAw-AACWPgAAJD4AAIA7AABQvQAAZD4AACw-AAAQPQAAHL4AABQ-AABMPiAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=a0JNGx0Da8k","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":630,"cheight":480,"cratio":1.3125,"dups":["13513709257048193164"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"268885115"},"1909881461452136595":{"videoId":"1909881461452136595","docid":"34-10-15-ZE3FB9939B94EBC27","description":"#mathematicsanalysis...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3284369/5608007092a16eb46bd55772ffd55ca2/564x318_1"},"target":"_self","position":"18","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Drl-7Up23CYo","linkTemplate":"/video/preview/1909881461452136595?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematics Analysis is live","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rl-7Up23CYo\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMTk4ODk0MzU3MzY3NzM0NjM1MAoSODI2NjUzMDEwNDM1OTI1OTA3ChM4OTAxMTA3MjYzMDcyNzY0ODUxChM0Njc5ODg4NDQ3NjEyMzY0OTU4ChQxMTUwNzkzNjYxMTA1NTIzNTk3NwoUMTAwOTE3ODY2MDU5NjI2NzM3NTgKFDE4NDAxNDI2NjY4NjYwMDIwMTUyChMxOTI0MzczMjA3MzI1OTU0NTUxChM1NTUyMTQ2MjI2MjkzMzMxNTI4ChQxMDIwMzc1NDI5MzQwMjc5ODEwOAoTODcwNTkwODA1MjY0MjQwNjQ1NQoTMTAwNDM5Mzk4NjM3NzI0NTA0NwoUMTI5MjM2Mzg0MDMyNDc4MzgzMTAKFDE1ODYwNDk4NTEwODQ3NzQ0MTc0ChQxNjI2MTA1MTIwMDE4MjIwOTUzMQoUMTM1MTM3MDkyNTcwNDgxOTMxNjQKEzE5MDk4ODE0NjE0NTIxMzY1OTUKEzg0Nzg3NzY4NDUzOTUyOTUxMzcKEzgyMDA4MjkxODE2NDQ2MDU4MjAKEzg4ODI3NDQ4MDYwMTcyMTEzMjYaFQoTMTkwOTg4MTQ2MTQ1MjEzNjU5NVoTMTkwOTg4MTQ2MTQ1MjEzNjU5NWquDRIBMBgAIkQaMAAKKWhoaGVvbndjZGdtYW9uZmhoVUNIcnZTMlNQb3V5S0cyT0tVcWg2Tl93EgIAESoQwg8PGg8_E-EIggQkAYAEKyqLARABGniB9vv7-_sFAPsDAw0KCPsC-gP_Afn9_QD8EvoC-gT-APj2BAALAAAA_gf0B_wAAAD4-vsP__8AAAQE-AcDAAAAFgT8_QMAAAAPEPr5_gEAAPz1C_wCAAAAEgQB_f8AAAD3Agb2__8AAPcHAQAAAAAADAb9__z0_wAgAC1ZkeI7OBNACUhOUAIqcxAAGmDxEQAG_A_J4TAg6Afv3uMDJuveBtsHAOQIAAXY_7QJIefsDxAAQsYW6rsAAAAG0v8DEQDeW8v10Awl9QbU0OstDH8G1_UA7PLy2iT8GhUJTO7LKyIA3v3PGv0J6CEKPE8gAC0G1j47OBNACUhvUAIqrwYQDBqgBgAAQEEAAOhBAACeQgAAeEIAAADAAAB4QgAAIEIAAFzCAAAAwAAAUMEAAMBBAAAswgAAQMEAAKDAAACAwAAAmMEAAODAAACIwQAAyMEAACDBAAAcQgAAeMIAAGDBAAC4QQAAoEAAAEDAAACgwgAAPMIAAHRCAAAIQgAAIEEAAOhBAADowQAAQEAAACBCAACYwQAAXEIAAARCAAA8QgAAAEIAANhBAAAIwgAA2EEAADxCAAB8QgAAoEEAAOBAAACEwgAAwkIAALBBAAAAQQAAuMEAABDBAACAwAAAHEIAAOBBAADAwQAAUEEAAKBAAACowQAAyMEAAJhBAACoQQAAYMEAAFBBAAAAwAAAuEEAAIjBAABIwgAAIMEAAADCAADIQQAAKMIAABRCAAB4QgAA2EEAAIC_AABAQQAAkMEAAGBBAABAwQAAEMIAAExCAAAAQAAAJMIAAJDBAACwQgAA2MEAAGBBAAAkQgAAisIAAPBBAACcQgAANMIAAIC_AABQwgAA4EEAAMBAAACwwQAA-EEAACBCAACQwQAAXEIAAKTCAABcwgAAGMIAAJDBAAC0QgAAwEAAADhCAADQQgAAIMEAAKrCAAC4QQAAskIAAGzCAADQwQAAUMEAAJDBAABAQQAAYMEAAABAAAA0wgAAGEIAABBBAACoQgAAYMEAAPBBAAD4wQAAEMIAAHBBAADQwQAASEIAAI5CAAAgwQAA0EEAALjCAACAvwAA8MEAAIBAAAAUwgAAjEIAAIDAAACwQQAATEIAAEBCAACAPwAAhEIAAGDBAABQwQAAJMIAALjBAAAAwgAAUMIAACBBAAB0QgAACMIAABjCAAAwwgAAgkIAAARCAABEQgAAiMEAADTCAABwQQAAEMEAAExCAADAQQAAQEEAAGBBAAAYwgAAIEEAACDCAACSwgAA4MAAACBBAACAwQAAAMIAAMhBAAC8QgAAJMIAAIA_AAAYQgAACMIAAEBBAABYwgAAcMIAAKjBAAC4wQAAEEEAAIBBAAA8wgAA4kIAAJBCAABowgAALEIAAABAAABcwgAAoEEAAKDAIAA4E0AJSHVQASqPAhAAGoACAAAwvQAAtr4AADQ-AAC4PQAAkr4AABQ-AAB0vgAAIb8AAMi9AADYPQAAHD4AACS-AAAkvgAAPD4AAJK-AAAsvgAAnj4AAIC7AACKPgAA_j4AAH8_AADovQAAFD4AAJg9AABwvQAAyL0AAKA8AADYPQAAED0AAEQ-AAB8PgAAFL4AAOA8AACgPAAAQLwAACw-AAAwPQAAcL0AALq-AAAcvgAA6L0AAES-AACCPgAAdL4AAKa-AAAUvgAAhj4AADy-AACgvAAAiL0AAOi9AAAQPQAAPD4AAFA9AABEvgAA4LwAAFU_AADIPQAAqD0AADQ-AACIvQAA-D0AAEw-AADYPSAAOBNACUh8UAEqjwIQARqAAgAA2L0AAEC8AAAwvQAAD78AAPi9AADYPQAATD4AAPg9AAAsPgAAPD4AAOA8AABwvQAAyD0AABC9AAAwPQAA4DwAAJg9AAAvPwAA4LwAAL4-AAAkPgAAoLwAAIC7AAAQvQAA4DwAAEw-AAAMPgAADD4AAFA9AACoPQAAcL0AAIg9AADgPAAAFL4AAEA8AACAuwAAUD0AAEC8AAAUvgAAMD0AAIY-AADovQAALD4AAFC9AACoPQAAoLwAAH-_AAAEPgAAML0AAIA7AADYvQAAUD0AACy-AABwPQAAhj4AAAw-AACAuwAAcL0AAKg9AADIPQAAuD0AAKa-AACYvQAAHD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=rl-7Up23CYo","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1909881461452136595"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"8478776845395295137":{"videoId":"8478776845395295137","docid":"34-8-9-Z455A5EEEBFEA1707","description":":\": iLmath :\": Mathematical Analysis - Chapter 1 - Example 1 Hit the like & sub.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3490583/4ad5909b881503177375bf671dc63e04/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/a5Uu-AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2_lu8td8Q54","linkTemplate":"/video/preview/8478776845395295137?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Analysis - Chapter 1 - Example 1","related_orig_text":"Mathematics Analysis","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Analysis\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2_lu8td8Q54\",\"src\":\"serp\",\"rvb\":\"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-f79AwD8BfwGAQb9AgsA-_r3AAAA7QL8BAAAAAD8_wcDAQAAAAQG9wECAAAABPv8C__9AQD7__wBAwAAABkC_QD4AAAAFgn2CP4BAADy7gr9AgAAABIEAf3_AAAAAAgC9wMAAAD2Bv4KAAAAABL7AAH89f4AIAAt55jcOzgTQAlITlACKoQCEAAa8AF_A-X-xPrF_xob7QARBd8BxAoU_1YM2QDA2hUC-dnBAepM5QDkF-YAoAf8Ad01CADi6Lv_ANP0AGYC6v_Z9yEAFw7eASDY1QAsEQ8ACeDo_sIGIv_rDv77MtvQAh8O-P_2_uL7Nx7q_9DyywALJT8DVhgFAw7uSQHT7wb_q-rn_dHI3v3rGiUJHdAd_wQOPP4z3O76CRbyAvBc4QkKzAz7FNos_PEW0f5HEv4OP-cT_bzh_gf_B_cN4gIXB-f4HwYBDzn6Ct7-AQoK9P8g8_UBzCX69Qfs2QTy3vUHGvwCAfnG_vzpAO_s3w8g_dsu9gcgAC3HDfg6OBNACUhhUAIqzwcQABrAB-2a2L5Wdku9jxLgPDEjYT11QVg8NwjpPCeFGT1_9V08ozqdPA_S8z2Q7iy9oATRPFnAVL4EjIw5Ks_XPLXhkD66ETa9GokwPURO37s8UJI9ypFJvSpddb3ND9I8XwzEO7jt1rzAQ6w84FksvXIflD2YB4o99HHpOytXw72dbF69-pQIvZfUnjusW5i9odCXvAunFr1VV7Q8mAo7vLefZzxFMZS8kAEPvFFM3rv2Ocg8Kdw8vDeIBr6_sGM7AEKavPDnyjsfg1U94o-HPCU9vL2tmca82RaUvK2hdD1v05-9mDlZu9OZJb0XOXo8W6hGvFCxAL1n6Om8qvESvSM9y7047rk83ralvNwEqT2Dv989HDGpvFDD173Eknc9a4zOOrE4Fz0qCzU9wMvMvH6h7Loe4j89CEaUPOlrET1NGn68TPIOPN2Qyz3esGg9RuOaPLQ4xjtFHSy9XlSBvBeBET7OCAU9kCCLPCixkLzXnXa7J-YRPPC3g7uD5Lg9CJk_PMN4Er1e6Hu9n50EvGBnhD35Eb-9PWsSPNGPq7vkNB-9spE1vLWRJj1_qzA9ux3Mu4PdQD7Y7Vi8Q0M1vDX78jwWxYY8Rik-OwPBLT3svHK9l7hBuGozSrt99jI93d-1OZR3JL0vhbc9J6HXuzobt734MrS6FDlpO0CeQj2iJY-8gjWUO0dM2jwqtyO9xc1euif0rz1fQJQ9iNsWt9NElD154hy8UWmjO5xjmr319Vy9buEpOmXTgLyQKJm9UgMTO-6vDj6fEpG9ftCUOe65h70Pu8o805bRuJG6eL0onB09xwEJuBEMhj3PSW-8FSWKOCexmDtNoIi9ZLBsOn3a1zyagmu9pHv5uZupFb2Q1yM9_ZY8umsewb3ErqK9WfgiONDSF7wN4869LFUIOStziT1tFQm93SrGOMU2TrxQqKc7Og7auIV_rLxDmJG6lLRfNh80Fj3xr-88mgOJOFqvgz0Bj8O9ptFaOZTg6LyNRym9Pp6ruAFM-T2gks68OsgQObu1HD5e1Qk-bNtPOe5ubz0UQRy9CRWxttCAFT2ASrU9ljSQuF5CKrxff9I9MS8UOL6VNr20wEg9Fe8xObdp4jyaTqG84T2wuD1OR70xf2A8CdqxOICgVz1Y2Yi9TsmFuLmfrb3DM7y8hoYQtzfMtr37srA71nIGNo65obzJCa49ZG4Ut7hzAT3MK4K9L2Z0uMr0cD0i4Ss-8cuKOO3EmzxFScg97lIKuQahfL1gHIE8YXy1N3Jr8r3U1V09EUKFtyAAOBNACUhtUAEqcxAAGmD-CAAbDDHd8Swf6_bo_fED8fvpD_gi_9EOAATjAuAAKd_aCv3_Pc0Z2LkAAAAP3eksFgDVY-gM6BgX1v3d4s4bD3_wIyzM_hT6wgcUAfUbUs_dBiYA6QKmMf7c1zYLJCUgAC2-wDw7OBNACUhvUAIqrwYQDBqgBgAAXEIAAIjBAADQQgAAqMIAAABBAAAwQQAAmkIAABBCAACCwgAAQEEAAKhCAACwwQAAgD8AAJBBAAA8wgAAAEEAAGhCAABIwgAAAMAAAIhBAADYQQAAwEAAAI7CAACAQgAAYMIAAFBBAABQwQAAoMAAABDBAADgwQAAsMEAACRCAADAwQAALMIAAOrCAAAcQgAAgEAAADBCAAA0wgAA-EEAAEBAAAAAQgAACEIAAMDAAADYQQAAisIAADxCAAA8QgAAhEIAADBBAAAMwgAAPMIAAMBAAABMQgAAgEEAAMDAAACgwAAA2MEAAJZCAAC4QQAA2EEAADDCAACowgAAFMIAAAhCAADewgAAVMIAALDBAADIwQAAwMEAAHxCAAAQQgAA8MEAAMhBAAAwwgAAoEAAAFjCAADYwQAAYEIAACDBAAAAwAAAuEIAAITCAABgQQAALMIAAKRCAAAQQQAAeMIAADBCAAAIwgAAUEEAAJBBAACUwgAAqEEAAERCAABQwgAAWMIAAIA_AAAwQQAA8EEAAETCAAAAwAAA4EEAAOBAAABYwgAAIEEAADTCAABgQgAAREIAAFRCAAB0QgAAAEEAAODAAAAYQgAAmMEAADRCAAAMQgAAgD8AAFBBAACgQAAAcMEAAADCAACYQQAAMEEAABTCAAAcwgAA8MEAADDBAAAAwQAAoMAAAEDBAABswgAAiEEAAGBCAAAkwgAAHEIAAMDAAAAQQQAAAMAAAPDBAACAvwAAiEEAAAAAAACOwgAAMMEAABRCAADAQAAAuEEAAJhBAADowQAATMIAAMDAAACwwQAAVEIAAIBBAADwwQAAQMIAAEDBAADIwQAAqMEAAAjCAAC4wQAAEEIAAFDBAACIQQAANMIAAPjBAAAMQgAAOEIAAIDAAAAwwQAAgMAAAODAAAA8wgAAEEEAAFxCAABwwgAAMMEAAAAAAACoQQAAnMIAAADAAACYwQAA-MEAAFhCAAAgwgAANMIAAADCAAC4QQAAgL8AADRCAADgQAAABEIAAARCAABwwQAAQEIAAEBCAABwwQAAQEIAAEDAIAA4E0AJSHVQASqPAhAAGoACAACAuwAAdL4AAIA7AABcPgAAXL4AALI-AACgvAAA_r4AANa-AAAwPQAARL4AAEy-AAAwvQAA2D0AAKa-AADYvQAAgj4AAFC9AAAsPgAAAz8AAH8_AADYvQAAhj4AAOi9AAAcPgAAcL0AAFQ-AACaPgAAUD0AAFw-AACqPgAAXL4AAHA9AACSPgAAND4AABQ-AACKPgAAXL4AAAW_AACuvgAATL4AAFy-AAD-PgAALL4AAKi9AABQvQAAZD4AAJK-AAA0vgAAZL4AAOC8AAA0vgAAuD0AAHA9AADovQAAEL0AAFE_AACIPQAAJD4AAKC8AABwPQAAJD4AAFw-AADKviAAOBNACUh8UAEqjwIQARqAAgAAhr4AACQ-AABQvQAAB78AABy-AAAcPgAA3j4AAHA9AADoPQAAcD0AADC9AAAMvgAAiL0AABC9AACAOwAAQLwAAOA8AAANPwAAVL4AANo-AABwPQAAmL0AABy-AAC4vQAA4LwAAAS-AAAQPQAADD4AABQ-AAAQvQAAQDwAACQ-AACWvgAAyL0AAAw-AAC4vQAApj4AADA9AACCvgAAcD0AAPg9AAAUvgAAQLwAAIg9AAAQvQAA-D0AAH-_AADoPQAAML0AANg9AAC4PQAAUD0AAFS-AAD4PQAApj4AACQ-AACgvAAAgLsAANg9AABEPgAA4DwAAFS-AADoPQAAyD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=2_lu8td8Q54","parent-reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1038,"cratio":1.84971,"dups":["8478776845395295137"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2088252629"}},"dups":{"11988943573677346350":{"videoId":"11988943573677346350","title":"6) KPSS \u0007[Mathematics\u0007] - \u0007[Analysis\u0007] I - Güven Göllüoğlu - 2026","cleanTitle":"6) KPSS Mathematics - Analysis I - Güven Göllüoğlu - 2026","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fVJ2layejK4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fVJ2layejK4?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":"d3d3LnlvdXR1YmUuY29tO1VDaUJiVzVLRWdlT2xlZ29KMnpfSjYxdw==","name":"Hoca Kafası","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Hoca+Kafas%C4%B1","origUrl":"http://www.youtube.com/c/HocaKafas%C4%B1","a11yText":"Hoca Kafası. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1086,"text":"18:06","a11yText":"Süre 18 dakika 6 saniye","shortText":"18 dk."},"date":"25 ağu 2025","modifyTime":1756080000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fVJ2layejK4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fVJ2layejK4","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1086},"parentClipId":"11988943573677346350","href":"/preview/11988943573677346350?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/11988943573677346350?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"826653010435925907":{"videoId":"826653010435925907","title":"Lecture 1: \u0007[Math\u0007]. \u0007[Analysis\u0007]","cleanTitle":"Lecture 1: Math. Analysis","host":{"title":"YouTube","href":"http://www.youtube.com/watch/PiaPIleRhgQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PiaPIleRhgQ?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2815,"text":"46:55","a11yText":"Süre 46 dakika 55 saniye","shortText":"46 dk."},"views":{"text":"160,2bin","a11yText":"160,2 bin izleme"},"date":"10 mar 2011","modifyTime":1299715200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PiaPIleRhgQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PiaPIleRhgQ","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":2815},"parentClipId":"826653010435925907","href":"/preview/826653010435925907?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/826653010435925907?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8901107263072764851":{"videoId":"8901107263072764851","title":"Lecture 3: \u0007[Math\u0007]. \u0007[Analysis\u0007] - Bounded sets","cleanTitle":"Lecture 3: Math. Analysis - Bounded sets","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TIm017uadN4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TIm017uadN4?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2715,"text":"45:15","a11yText":"Süre 45 dakika 15 saniye","shortText":"45 dk."},"views":{"text":"21,1bin","a11yText":"21,1 bin izleme"},"date":"15 nis 2011","modifyTime":1302825600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TIm017uadN4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TIm017uadN4","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":2715},"parentClipId":"8901107263072764851","href":"/preview/8901107263072764851?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/8901107263072764851?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4679888447612364958":{"videoId":"4679888447612364958","title":"Introduction to Principle of \u0007[Mathematical\u0007] \u0007[Analysis\u0007] by Walter Rudin || Real \u0007[Analysis\u0007] \u0007[Ma...","cleanTitle":"Introduction to Principle of Mathematical Analysis by Walter Rudin || Real Analysis Math2400","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vBzbFkGVpx4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vBzbFkGVpx4?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":"d3d3LnlvdXR1YmUuY29tO1VDa1FjYlRKMGpiaWJYLVpKQk9LZUpuZw==","name":"HIGHER MATHEMATICS","isVerified":false,"subscribersCount":0,"url":"/video/search?text=HIGHER+MATHEMATICS","origUrl":"http://www.youtube.com/@azmatali006","a11yText":"HIGHER MATHEMATICS. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":151,"text":"2:31","a11yText":"Süre 2 dakika 31 saniye","shortText":"2 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"5 tem 2024","modifyTime":1720137600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vBzbFkGVpx4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vBzbFkGVpx4","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":151},"parentClipId":"4679888447612364958","href":"/preview/4679888447612364958?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/4679888447612364958?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11507936611055235977":{"videoId":"11507936611055235977","title":"Lecture 12b: \u0007[Math\u0007]. \u0007[Analysis\u0007] - Functions, Limits and Continuity","cleanTitle":"Lecture 12b: Math. Analysis - Functions, Limits and Continuity","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=g94BQBIjxdk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/g94BQBIjxdk?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":549,"text":"9:09","a11yText":"Süre 9 dakika 9 saniye","shortText":"9 dk."},"views":{"text":"11,8bin","a11yText":"11,8 bin izleme"},"date":"8 kas 2011","modifyTime":1320710400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/g94BQBIjxdk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=g94BQBIjxdk","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":549},"parentClipId":"11507936611055235977","href":"/preview/11507936611055235977?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/11507936611055235977?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10091786605962673758":{"videoId":"10091786605962673758","title":"Let's Talk | \u0007[Mathematics\u0007] \u0007[Analysis\u0007]","cleanTitle":"Let's Talk | Mathematics Analysis","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iPxmoUo46CU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iPxmoUo46CU?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":"d3d3LnlvdXR1YmUuY29tO1VDSHJ2UzJTUG91eUtHMk9LVXFoNk5fdw==","name":"Mathematics Analysis","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Mathematics+Analysis","origUrl":"http://www.youtube.com/@MathematicsAnalysis","a11yText":"Mathematics Analysis. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1480,"text":"24:40","a11yText":"Süre 24 dakika 40 saniye","shortText":"24 dk."},"views":{"text":"8,5bin","a11yText":"8,5 bin izleme"},"date":"31 oca 2021","modifyTime":1612099265000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iPxmoUo46CU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iPxmoUo46CU","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1480},"parentClipId":"10091786605962673758","href":"/preview/10091786605962673758?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/10091786605962673758?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18401426668660020152":{"videoId":"18401426668660020152","title":"Lecture 2a: \u0007[Math\u0007]. \u0007[Analysis\u0007] - properties of the Euclidian norm","cleanTitle":"Lecture 2a: Math. Analysis - properties of the Euclidian norm","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JrPYtyaJkdw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JrPYtyaJkdw?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1098,"text":"18:18","a11yText":"Süre 18 dakika 18 saniye","shortText":"18 dk."},"views":{"text":"31,2bin","a11yText":"31,2 bin izleme"},"date":"17 mar 2011","modifyTime":1300320000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JrPYtyaJkdw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JrPYtyaJkdw","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1098},"parentClipId":"18401426668660020152","href":"/preview/18401426668660020152?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/18401426668660020152?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1924373207325954551":{"videoId":"1924373207325954551","title":"Lecture 21: \u0007[Math\u0007]. \u0007[Analysis\u0007] - An introduction to Riemann integration","cleanTitle":"Lecture 21: Math. Analysis - An introduction to Riemann integration","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=QykoPWRknZw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/QykoPWRknZw?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/user/NottmUniversity","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3214,"text":"53:34","a11yText":"Süre 53 dakika 34 saniye","shortText":"53 dk."},"views":{"text":"26,9bin","a11yText":"26,9 bin izleme"},"date":"4 ara 2011","modifyTime":1322956800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/QykoPWRknZw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=QykoPWRknZw","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":3214},"parentClipId":"1924373207325954551","href":"/preview/1924373207325954551?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/1924373207325954551?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5552146226293331528":{"videoId":"5552146226293331528","title":"Lecture:2: \u0007[Analysis\u0007]-I: What is Real \u0007[Analysis\u0007]? Real Beauty of \u0007[Mathematics\u0007] "Real \u0007[A...","cleanTitle":"Lecture:2: Analysis-I: What is Real Analysis? Real Beauty of Mathematics "Real Analysis"","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-kRABsBg38s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-kRABsBg38s?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":"d3d3LnlvdXR1YmUuY29tO1VDd3NEOGZlVy1ja1hDZ2Z2OGd3ZzJoZw==","name":"Our Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Our+Mathematics","origUrl":"http://www.youtube.com/@ourmathematics","a11yText":"Our Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4203,"text":"1:10:03","a11yText":"Süre 1 saat 10 dakika 3 saniye","shortText":"1 sa. 10 dk."},"date":"23 oca 2024","modifyTime":1706018766000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-kRABsBg38s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-kRABsBg38s","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":4203},"parentClipId":"5552146226293331528","href":"/preview/5552146226293331528?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/5552146226293331528?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10203754293402798108":{"videoId":"10203754293402798108","title":"Introduction to \u0007[Math\u0007] \u0007[Analysis\u0007] (Lecture 1): The Need for Real Numbers","cleanTitle":"Introduction to Math Analysis (Lecture 1): The Need for Real Numbers","host":{"title":"YouTube","href":"http://www.youtube.com/v/Z9QtSa26C0g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Z9QtSa26C0g?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":"d3d3LnlvdXR1YmUuY29tO1VDOGdzZ25KNjZDeXgxSFZ0U0tPallUdw==","name":"Arkady Etkin","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Arkady+Etkin","origUrl":"http://www.youtube.com/@arkadyetkin3735","a11yText":"Arkady Etkin. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4779,"text":"1:19:39","a11yText":"Süre 1 saat 19 dakika 39 saniye","shortText":"1 sa. 19 dk."},"views":{"text":"120,7bin","a11yText":"120,7 bin izleme"},"date":"3 haz 2015","modifyTime":1433289600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Z9QtSa26C0g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Z9QtSa26C0g","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":4779},"parentClipId":"10203754293402798108","href":"/preview/10203754293402798108?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/10203754293402798108?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8705908052642406455":{"videoId":"8705908052642406455","title":"IBDP \u0007[Maths\u0007] \u0007[Analysis\u0007] and Approaches 1 4 Binomial Theorem Full Notes","cleanTitle":"IBDP Maths Analysis and Approaches 1 4 Binomial Theorem Full Notes","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Gpe_JLwgGSo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Gpe_JLwgGSo?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":"d3d3LnlvdXR1YmUuY29tO1VDc3lQMnRKdzc1YmJoYlZCdmtHU3FLZw==","name":"Learning and Teaching Resource Centre","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Learning+and+Teaching+Resource+Centre","origUrl":"http://www.youtube.com/@LearningandTeachingResourceCen","a11yText":"Learning and Teaching Resource Centre. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":894,"text":"14:54","a11yText":"Süre 14 dakika 54 saniye","shortText":"14 dk."},"date":"12 tem 2024","modifyTime":1720742400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Gpe_JLwgGSo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Gpe_JLwgGSo","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":894},"parentClipId":"8705908052642406455","href":"/preview/8705908052642406455?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/8705908052642406455?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1004393986377245047":{"videoId":"1004393986377245047","title":"Lecture 18: \u0007[Math\u0007]. \u0007[Analysis\u0007] - Sequences of functions","cleanTitle":"Lecture 18: Math. Analysis - Sequences of functions","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FUiI0qmzP6I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FUiI0qmzP6I?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2785,"text":"46:25","a11yText":"Süre 46 dakika 25 saniye","shortText":"46 dk."},"views":{"text":"17,2bin","a11yText":"17,2 bin izleme"},"date":"3 ara 2011","modifyTime":1322870400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FUiI0qmzP6I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FUiI0qmzP6I","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":2785},"parentClipId":"1004393986377245047","href":"/preview/1004393986377245047?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/1004393986377245047?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12923638403247838310":{"videoId":"12923638403247838310","title":"Advanced Calculus/\u0007[Mathematical\u0007] \u0007[Analysis\u0007] Book for Beginners","cleanTitle":"Advanced Calculus/Mathematical Analysis Book for Beginners","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=42IP_U4NnBc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/42IP_U4NnBc?enablejsapi=1&wmode=opaque\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"youtube","providerName":"youtube.com","sourceHost":"www.youtube.com","name":"youtube.com","secondPart":{"type":"CHANNEL","id":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":369,"text":"6:09","a11yText":"Süre 6 dakika 9 saniye","shortText":"6 dk."},"views":{"text":"33,8bin","a11yText":"33,8 bin izleme"},"date":"21 mayıs 2020","modifyTime":1590019200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/42IP_U4NnBc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=42IP_U4NnBc","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":369},"parentClipId":"12923638403247838310","href":"/preview/12923638403247838310?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/12923638403247838310?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15860498510847744174":{"videoId":"15860498510847744174","title":"Workshop 5: \u0007[Math\u0007]. \u0007[Analysis\u0007] - Examples Class 2","cleanTitle":"Workshop 5: Math. Analysis - Examples Class 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=28z1dgg477g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/28z1dgg477g?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1439,"text":"23:59","a11yText":"Süre 23 dakika 59 saniye","shortText":"23 dk."},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"19 ağu 2011","modifyTime":1313712000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/28z1dgg477g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=28z1dgg477g","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1439},"parentClipId":"15860498510847744174","href":"/preview/15860498510847744174?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/15860498510847744174?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16261051200182209531":{"videoId":"16261051200182209531","title":"IB \u0007[Mathematics\u0007] \u0007[Analysis\u0007] and Approaches HL Subject Brief","cleanTitle":"IB Mathematics Analysis and Approaches HL Subject Brief","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=jjU_ix0VJGg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/jjU_ix0VJGg?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":"d3d3LnlvdXR1YmUuY29tO1VDbV9SYTl6RGc2TmthdGFYa3ZVcUdNUQ==","name":"Math With Rudy","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+With+Rudy","origUrl":"https://www.youtube.com/channel/UCm_Ra9zDg6NkataXkvUqGMQ","a11yText":"Math With Rudy. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":254,"text":"4:14","a11yText":"Süre 4 dakika 14 saniye","shortText":"4 dk."},"date":"5 oca 2020","modifyTime":1578182400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/jjU_ix0VJGg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=jjU_ix0VJGg","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":254},"parentClipId":"16261051200182209531","href":"/preview/16261051200182209531?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/16261051200182209531?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13513709257048193164":{"videoId":"13513709257048193164","title":"Workshop 1: \u0007[Math\u0007]. \u0007[Analysis\u0007]","cleanTitle":"Workshop 1: Math. Analysis","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=a0JNGx0Da8k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/a0JNGx0Da8k?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":"d3d3LnlvdXR1YmUuY29tO1VDemRhRnRwUFdiLVBuNm9ZWFFUQ254QQ==","name":"University of Nottingham","isVerified":false,"subscribersCount":0,"url":"/video/search?text=University+of+Nottingham","origUrl":"http://www.youtube.com/@uniofnottingham","a11yText":"University of Nottingham. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1373,"text":"22:53","a11yText":"Süre 22 dakika 53 saniye","shortText":"22 dk."},"views":{"text":"90,5bin","a11yText":"90,5 bin izleme"},"date":"1 mar 2011","modifyTime":1298937600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/a0JNGx0Da8k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=a0JNGx0Da8k","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1373},"parentClipId":"13513709257048193164","href":"/preview/13513709257048193164?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/13513709257048193164?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1909881461452136595":{"videoId":"1909881461452136595","title":"\u0007[Mathematics\u0007] \u0007[Analysis\u0007] is live","cleanTitle":"Mathematics Analysis is live","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rl-7Up23CYo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rl-7Up23CYo?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":"d3d3LnlvdXR1YmUuY29tO1VDSHJ2UzJTUG91eUtHMk9LVXFoNk5fdw==","name":"Mathematics Analysis","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Mathematics+Analysis","origUrl":"http://www.youtube.com/@MathematicsAnalysis","a11yText":"Mathematics Analysis. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1121,"text":"18:41","a11yText":"Süre 18 dakika 41 saniye","shortText":"18 dk."},"views":{"text":"2,6bin","a11yText":"2,6 bin izleme"},"date":"5 nis 2025","modifyTime":1743862941000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rl-7Up23CYo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rl-7Up23CYo","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":1121},"parentClipId":"1909881461452136595","href":"/preview/1909881461452136595?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/1909881461452136595?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8478776845395295137":{"videoId":"8478776845395295137","title":"\u0007[Mathematical\u0007] \u0007[Analysis\u0007] - Chapter 1 - Example 1","cleanTitle":"Mathematical Analysis - Chapter 1 - Example 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2_lu8td8Q54","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2_lu8td8Q54?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":"d3d3LnlvdXR1YmUuY29tO1VDT2F4Y3IzUG1iMUVTM3JHbG5Oak1rZw==","name":"iLmath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=iLmath","origUrl":"http://www.youtube.com/@ilmath6560","a11yText":"iLmath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":158,"text":"2:38","a11yText":"Süre 2 dakika 38 saniye","shortText":"2 dk."},"date":"20 şub 2022","modifyTime":1645315200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2_lu8td8Q54?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2_lu8td8Q54","reqid":"1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL","duration":158},"parentClipId":"8478776845395295137","href":"/preview/8478776845395295137?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","rawHref":"/video/preview/8478776845395295137?parent-reqid=1774012788658844-13989060142130610413-balancer-l7leveler-kubr-yp-klg-312-BAL&text=Mathematics+Analysis","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"9890601421306104137312","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Mathematics Analysis","queryUriEscaped":"Mathematics%20Analysis","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"}}}