{"pages":{"search":{"query":"Mathematics Lectures","originalQuery":"Mathematics Lectures","serpid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","parentReqid":"","serpItems":[{"id":"17208030790345047139-0-0","type":"videoSnippet","props":{"videoId":"17208030790345047139"},"curPage":0},{"id":"6091131765063575658-0-1","type":"videoSnippet","props":{"videoId":"6091131765063575658"},"curPage":0},{"id":"1173696496112409323-0-2","type":"videoSnippet","props":{"videoId":"1173696496112409323"},"curPage":0},{"id":"2931697822127647736-0-3","type":"videoSnippet","props":{"videoId":"2931697822127647736"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGhlbWF0aWNzIExlY3R1cmVzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","ui":"desktop","yuid":"6331082561765270497"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"5260443680608247741-0-5","type":"videoSnippet","props":{"videoId":"5260443680608247741"},"curPage":0},{"id":"5817383490438379136-0-6","type":"videoSnippet","props":{"videoId":"5817383490438379136"},"curPage":0},{"id":"16015526214547870150-0-7","type":"videoSnippet","props":{"videoId":"357215032207485492"},"curPage":0},{"id":"11876053637352378683-0-8","type":"videoSnippet","props":{"videoId":"11876053637352378683"},"curPage":0},{"id":"16736096137824298194-0-9","type":"videoSnippet","props":{"videoId":"16736096137824298194"},"curPage":0},{"id":"1438784787495362129-0-10","type":"videoSnippet","props":{"videoId":"13548170341482032648"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGhlbWF0aWNzIExlY3R1cmVzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","ui":"desktop","yuid":"6331082561765270497"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"17295510668404681982-0-12","type":"videoSnippet","props":{"videoId":"17295510668404681982"},"curPage":0},{"id":"170475331497610872-0-13","type":"videoSnippet","props":{"videoId":"170475331497610872"},"curPage":0},{"id":"1895465873774350372-0-14","type":"videoSnippet","props":{"videoId":"1895465873774350372"},"curPage":0},{"id":"16458669832874653469-0-15","type":"videoSnippet","props":{"videoId":"16458669832874653469"},"curPage":0},{"id":"6071856521966154383-0-16","type":"videoSnippet","props":{"videoId":"6071856521966154383"},"curPage":0},{"id":"7444140820645862929-0-17","type":"videoSnippet","props":{"videoId":"7444140820645862929"},"curPage":0},{"id":"16249087360494244443-0-18","type":"videoSnippet","props":{"videoId":"16249087360494244443"},"curPage":0},{"id":"4828116304099781206-0-19","type":"videoSnippet","props":{"videoId":"4828116304099781206"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dE1hdGhlbWF0aWNzIExlY3R1cmVzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","ui":"desktop","yuid":"6331082561765270497"}}},"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%2BLectures"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"1227983377784136169794","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1407489,0,11;1414493,0,14;1433082,0,39;1432976,0,5;1436971,0,29;1437713,0,9;1430176,0,24;1152684,0,61;1434896,0,15;1427956,0,40;1435850,0,64;1339938,0,88;260556,0,87;1418739,0,69;1433377,0,89;1425772,0,80;1373787,0,64;1417827,0,91;1419905,0,74;1349071,0,95;1430508,0,31;1425582,0,47;1417539,0,73;1432056,0,63;60,0,41;1422263,0,20;1433915,0,36;1297911,0,54;56262,0,0;1434558,0,28;45973,0,97;151171,0,25;128381,0,15;1269693,0,94;1281084,0,26;287509,0,41;1231503,0,73;912284,0,36"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematics%2BLectures","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Mathematics+Lectures","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":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Mathematics+Lectures","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathematics Lectures: 2 bin video Yandex'te bulundu","description":"\"Mathematics Lectures\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Mathematics Lectures — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yae39eb4b99019caf00b861e32f630964","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1407489,1414493,1433082,1432976,1436971,1437713,1430176,1152684,1434896,1427956,1435850,1339938,260556,1418739,1433377,1425772,1373787,1417827,1419905,1349071,1430508,1425582,1417539,1432056,60,1422263,1433915,1297911,56262,1434558,45973,151171,128381,1269693,1281084,287509,1231503,912284","queryText":"Mathematics Lectures","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"6331082561765270497","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438701,1437540,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765270499","tz":"America/Louisville","to_iso":"2025-12-09T03:54:59-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-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":"1407489,1414493,1433082,1432976,1436971,1437713,1430176,1152684,1434896,1427956,1435850,1339938,260556,1418739,1433377,1425772,1373787,1417827,1419905,1349071,1430508,1425582,1417539,1432056,60,1422263,1433915,1297911,56262,1434558,45973,151171,128381,1269693,1281084,287509,1231503,912284","queryText":"Mathematics Lectures","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"6331082561765270497","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":"1227983377784136169794","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":160,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"6331082561765270497","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1728.0__08d7da8c2bad1b707ab3442285ef2d22c008371a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"17208030790345047139":{"videoId":"17208030790345047139","docid":"34-5-1-Z4B6518862DE09CA9","description":"For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/993978/1628440891aaa5b112c8921a4be3cbdb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HPvyUQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DyvaFeNLZ9s8","linkTemplate":"/video/preview/17208030790345047139?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Metric Spaces - Lectures 1 & 2: Oxford Mathematics 2nd Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=yvaFeNLZ9s8\",\"src\":\"serp\",\"rvb\":\"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__7-AwD7AwMOCgj7AgsA-_r3AAAAAAnv_gME_gD99gYDAgAAAAYM_wUDAAAAAPvyDPn-AAABAP4IBAAAABIEBvn4AAAADA3wAv8AAADs9wL_AwAAAAz-_QEAAAAA9v718wAAAAD-CvkLAAAAAAQB-wQAAAAAIAAtUvfaOzgTQAlITlACKoQCEAAa8AF4AvwCv_oN_R_-8gDqCPcAgQUL_x4f-ADL9QgAufftAAoq4gHd7wsABPUVAN3uBQAM59sACuzxARkZAABHEhD_GAsOAD7X-AEyAhH_CPT9_wMTEf8b8hP-CPj7_woS9v4QFw7-9f3q_ATy6wAb_CIBDxcGAQju9f8E-AYCAhr_BPf88_8R9fL_9Avu-voaFAML8OkB9wX__-wD9QH7JvMDB-7_BB8J_AIpGf0BBucI_f_8_AMiHfEF7xoV_vIf-Qb56v__7u7_AuwPBAod2QD-AOUJ9wjr_v74A_L_G-wK_NcEC_biHf4D-RcECO34AfYgAC1uJ0g7OBNACUhhUAIqzwcQABrAB8GnBb_UlRU8csPvvFxXDD2vSZI8NTUcvJrMnbzrXbK8XMMUPDAcXj2kPuI7-9L2PPyMu75aUw-8xurFu2dimj5OOpu8Gu9YPGLZLL5yAqo7w2QKvfWha76E0wc9dDXDu_zvgj3xb8Y8haDZPDzprj3o1Lq7E2BmOm8muz3B4Jq8GQSWvJiBb7wKc7O7uvETu3BCoT2EbX67Xx6XPOYDQj72PU-9RwEBu2ZI-rzxbjs9CWmRu8o9c72k9cG8i0u6PCvZ8T09fQS9LwFTPAXuaj1Otda8Ux9tO-j-RTwUMRY9Gr39u41_nzuhjn09_wkuvOrxVjwwHtS8M3dUufmgB770Gps9L4GAO_X1_D2cogg96ytZvOCgPb31keU8uG-aPLO-N7y3HQW8-reJOwGZtz3Woiq8VyGKPGtzrbtc4zg9A50kvAjNST1-baI86v_FO3XWnTx_ufs8KEmyvPFImzrRrkI8iZI1vMMKnL1JNcc8JCmKuwSicT3cIwW9QSsNPG1dJT1IlTc9gXxkPEBRtDzGvqQ8h343uqzNHLvEdpw8YRC9vEt4Qj0g5jc831jpO4-O6zwUlvg8EkJRvEgIxbzaFxY8aRiEu8M-mz0TjzW9JSQSPPEpBT16efA812QVPGjI3TwMNrs7QckuvFIby7xxlm08qxdPu08EsbzgGFk5ePHZuwMnuz1NrIK83tsAu30NHL1yWfu8Kvptugfu4D163B679qUOulRhoryc_QG9zOHFulxQxLzDqWU9F7uCOnQSJTku6Di9_6qBuYt2Kz0gl1g99qhfuAuJybsVtQo9903MOfb4Uz36gxy9ATZCubJynrx5JaS8WYtLuf3Y5Lyswgm8zyViO7QMp7wy81M8RZldOblFKjyyAs28pFVKOvy3_TpLL3-7aglZt4qCT7yaK349RGWxOOXy-jy__Fi4n_squa4dezzceSy9F0IGN9hZgLv3bOO63YDBN5i0Ujs_cMW99y5gOU8fQb1TKyM8aEEmOFd9CT2kaXU87TQHuGOfujsKjoG8kVDAt8PT6zxnJvi9IiQkuBVHLz3q-1o9njb0uMrhA74Q1x48l_1ON-w5BD0qdo-8UyCRt4vGWr06nK88vZwQudCgvLzHIpe9LzthODpd1j3sSo07HPtJuWjXU72nTeY82nxDuHMIIT0c7dk7zQGoNzPdCz13Wki8wcyyuBT0TT20vae9l5eNtyL_7D01KQU-835buDmhC73REIQ95dPVuOcjn703wHE87WSXt8Byab34O6-8ULi0tyAAOBNACUhtUAEqcxAAGmBL-AAlAiXv2w0_6_va8APS3jXYELrs___v_-wR0wb6LeSyC_7_CKEG_acAAAAo--sdNQDrePzCvyzi8QLrqwkBE3_TIBHW9_oEyf3x6vQT-xDODU8A68WQH0gd0gwTLu4gAC0u9iA7OBNACUhvUAIqrwYQDBqgBgAAAEIAAKRCAAAIQgAAiEEAACRCAACKQgAAuEIAAABBAACUwgAAQMEAAPhBAACMwgAAJMIAAGDBAAAkQgAAHMIAAJhBAACewgAAiEEAAAzCAADIwQAABMIAAEjCAAAgQgAAgMAAAEjCAADAwQAA4MEAAHBCAAAAQAAAYMIAAARCAAAAwwAADEIAAHzCAABAwQAAgEEAADBCAABwQQAAXEIAABhCAACgwQAAoEAAAADBAAAkwgAAbMIAADBBAACAQQAAKEIAAOhBAACCwgAA6MEAAIC_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-MEAALBBAABEQgAAvMIAAMLCAAAswgAAQMEAADxCAADoQQAAlMIAAIC_AAAcQgAAsMEAAADBAAAAwgAAYEEAADxCAACAwAAAkEIAAEDBAACMQgAAoEAAALDBIAA4E0AJSHVQASqPAhAAGoACAADgvAAALL4AAGw-AABwvQAAiL0AAMo-AABwvQAAf78AANi9AADoPQAADD4AAJK-AAD4PQAA_j4AACS-AACSvgAAzj4AAOA8AACKPgAAPT8AAH0_AACIvQAAgj4AAPg9AAAwPQAAfL4AALo-AAA0vgAAgDsAAKI-AABEPgAA6L0AABS-AAA8vgAAiL0AADA9AACAuwAAUD0AAMq-AAAsvgAAHL4AADC9AAC6PgAA4LwAADS-AABAvAAAbD4AALa-AACWvgAAG78AAIK-AAAwPQAA3j4AAMY-AADovQAAQLwAAHs_AABAPAAA2L0AAEw-AAA8PgAAdD4AALg9AAC4vSAAOBNACUh8UAEqjwIQARqAAgAAQDwAADA9AACAOwAAP78AAKi9AAAkvgAAhj4AAES-AAAwPQAAmD0AACQ-AAA8vgAA6D0AAL6-AABwPQAAoLwAAJg9AAAVPwAAMD0AAKI-AAAcvgAAcL0AAHC9AAAMvgAAmD0AAIg9AABAPAAAuD0AAJi9AADYvQAAED0AAPg9AADYvQAAQLwAAOC8AABwvQAAoLwAAJY-AACGvgAAEL0AAEw-AABQvQAAqL0AAIC7AAAkvgAAuL0AAH-_AABAvAAAuL0AAIC7AAD4PQAAcL0AAHC9AABwvQAA4LwAAFA9AAAQvQAADD4AABy-AADIvQAAgLsAADy-AABwvQAA2D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=yvaFeNLZ9s8","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":848,"cheight":480,"cratio":1.76666,"dups":["17208030790345047139"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6091131765063575658":{"videoId":"6091131765063575658","docid":"34-11-12-Z2FA44F01F6A58EDD","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/224964/2972e8aa95fb5402115256605ef32b37/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cbX8HwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dmwd8CQjl2-w","linkTemplate":"/video/preview/6091131765063575658?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 8 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mwd8CQjl2-w\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA-wMDDQoI-wIAA__4-f7-APYH_P__Av8A-_T__QMAAAACB_8B_QAAAPj6-w___wAABAT4BwMAAAAQEf72_AAAAAsN8AL_AAAA7_T9CwP_AAAQBff9AAAAAPkF_vj-AAAAAhABBwAAAAAHCPsDAAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABf_v0AcwVD_8OCNoA1g_DAI4JKP9WG-AB1MoQAMAD4wDmLhoA79scAOP__gDUDQkA_-HdAA3m7QE7D-4AGvwUAB8WBAA42_0AU9_uAA4B5f8BICn-H-otAhoF8QAMAAD8FgAS_vL85PryBOIBDv46ASESDgIS7_0E7woZ_QIZDgLj8vD--QDzBO_37P_-Dx0C8QnW-hAN1fzZFgMEBhv7BeP4_QUcEvgGOA7-C_sKAv7e6AsKHx3cBfwjGQonDAL66u7wA-np_wLm-AcAK9MQAgztEvsJ5wwF9fXi-grhC_zPEgH52iX9BAAGDAIH_QTsIAAtY8sdOzgTQAlIYVACKs8HEAAawAeS6O2-lGdBuc1JXr2lnY-9ROTPvIVLvby5Gtm9kNjuvFMrpzwwHF49pD7iO_vS9jy3DZO-G1QTPBu0HL3-1Ys-IMSfPIapMTu5vJ69qTD4O9j-BL3gu22-XoqWPRa5TLwq_4o9878mPNnNzjvWoi89VD30vNqkKruvROA9OrISPQDJdLydUjk9dey7vDyrYDxTlww-Doa6vE97pTz6dME9rk4Jve4y8jyDSXa9k6W5O9nwjzxDEXy9qEcEvZlq_7uAfwo-Av8qPTbVLDvcVX68_dc-vcogsbr6NhM9XtoQPf_GIrxucD29QzVqPc6A5TvOYUi9Nq5_vb8Dybv5oAe-9BqbPS-BgDtGCuU9o5YgPFPN7jsirnc8gGZLPbvebDwDuso8VGBXvRl3XjwxsRk-qfUjPDtImTzBKig9petTvaRSbLwJZMA8z1l1PYVjsTxsnAg9ZnFVPQvUoryx64s7cHpVu7IKwLy7fGu9g8NmPCB7nDvPmmQ99lFcvXvrrjuWoeC8C-yxPNxmKjyu3ry8qhrzPIV_f7lFGeC8JgTlO0OTn7wZNBk9FAAovfLjlrsea-Y9GyoGPThDFryqpY-9YHlrvLPsSbwDwS097LxyvZe4QbhBuW092wNDPcUy5Lu_a6e7OsO5PNY1f7xy7I-8iZNAPU2wLDsoNaq8tdTLPN7YATxOEMA96N8pvcoiWLrmZg08aykgPaA3dDusbzA-5J7OvdnHK7hUYaK8nP0Bvczhxbq2MZG9jEPiPElbi7fpDfc8gC6FvZJN3bmZwIg983bfPMUHirdbDxo9-0uBPXPcZzlNx1K8BOx-vDKGpDolMh29lRCMvdIjqTjUG5S93drbu8GBcDgm2Y88srYOPZcUlDm_ojY8-lKJvAmCJLm6ZWq71928vO4ByrgsoKu8C3vaPaKiQbmfTuA7RvWxvBSnLLdkkSY8SQ1xO9tUqDhxB106L5WtPS_64rdwCiu9cTmevMs-hbjiBCY9fCW1vIeZHbiUqPI8EALXPKNMzrZPK1s9OyesPTxMhLjeWfs82PGfvRgNlzgQgbk9YVyAPS0k-LhYn8y9pi40PYN_LDkvyFE9z1XpvPlSMzjChue8s6DLvE1_X7gZgxi9NoqRvM6HqDeSXRk-2U9QvazCP7mUbBC9ukmxvIPjc7fq7pU8vq_fOx8G_Telgoo9hWnOvPLOQLg9c5A9yK9kvSSyBDci_-w9NSkFPvN-W7hFOKy9udSCPfLID7h8ToW9Y4RLvMLI6LbtiHm9B72tPGTFwDcgADgTQAlIbVABKnMQABpgRPoALegG-84PK_T30NYKyNgz3CO-5v_45f_6DdDt7C3mtQ8D_yCWGAKkAAAAFfj2FT0A3X_dzMEj2eT01a_l-jF_4ywgr-fu5MQPBfXvIf8DwgRTAArMlBEIF9M5FS0LIAAtssQZOzgTQAlIb1ACKq8GEAwaoAYAABRCAAAAwAAAZEIAACjCAAAgQgAA-EEAAOxCAADYQQAAfMIAAADCAAAQwQAAPEIAAADAAAAAwgAAmEEAAIJCAAAwwQAAjMIAABBBAACKwgAAgEAAALDBAABIwgAAyEEAAMBAAADQwQAAqMIAADDCAABIQgAAgEIAAHDCAAAAQgAAhMIAADhCAAAgwgAARMIAAPBBAACuQgAAqEEAAIA_AABwQQAAuEEAAEBBAADwQQAAJEIAAHDCAABAwQAAoMAAAAhCAACAPwAARMIAACTCAADwwQAAIMEAAFDBAAAAQAAANMIAAFDBAADwQQAAEEIAADDBAACkwgAAnsIAALjBAAAAQgAAlMIAANBBAACMwgAAaMIAAMjBAAD-QgAAsEEAAOjBAACoQgAAJMIAAADAAACgwAAAcEEAABxCAADQQQAAKMIAAAxCAACAQAAA4MAAAKhBAAAAQQAAEMIAADDBAACOQgAA4EEAAFBBAAAwwQAAoMAAADDBAAAMQgAAjsIAAKjBAAA0wgAAkEEAAIC_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-AACCPgAAqD0AACQ-AADWPgAAkr4AAHe_AAAkvgAA2L0AAEw-AAB0vgAAbD4AAJY-AACivgAAXL4AAA8_AACAOwAABD4AAAU_AAB_PwAAED0AAIo-AACAOwAAQLwAABS-AACKPgAAgr4AAIi9AACCPgAAvj4AABC9AACovQAABL4AAMi9AABcPgAAcD0AABS-AACSvgAAoLwAABC9AACgPAAAbD4AANg9AACovQAAhj4AAJ4-AADCvgAAur4AABG_AABEvgAABL4AAJY-AABEPgAALD4AAFC9AABHPwAAMD0AAIq-AAD4PQAAcL0AAFA9AABQvQAAgDsgADgTQAlIfFABKo8CEAEagAIAAIi9AACAOwAAiL0AAC2_AABwvQAAiL0AAI4-AAD4vQAA4DwAALg9AAD4PQAANL4AAKg9AACSvgAAcD0AAEA8AAD4PQAADz8AAHA9AACyPgAAML0AALg9AACovQAA-L0AAKg9AADIPQAAUD0AANg9AAC4vQAAuL0AABA9AAC4PQAAgLsAANi9AACgvAAAFL4AAFC9AACKPgAAZL4AAEC8AACiPgAAEL0AADA9AACovQAA6L0AAOi9AAB_vwAAgDsAAOC8AACAuwAADD4AAFC9AABMvgAAML0AADw-AACYPQAAML0AAMg9AAAMvgAA4LwAAOC8AABsvgAAuL0AABQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mwd8CQjl2-w","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["6091131765063575658"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1173696496112409323":{"videoId":"1173696496112409323","docid":"34-7-5-Z03E93C670D5454A6","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3236885/db4eb1c7ca92aa52b72749094234f108/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QgRUHwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D53vfipKsnFk","linkTemplate":"/video/preview/1173696496112409323?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 7 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=53vfipKsnFk\",\"src\":\"serp\",\"rvb\":\"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_wH_-wYA-wMDDQoI-wIAA__4-f7-APYH_P__Av8A-_T__QMAAAACB_8B_QAAAPj6-w___wAABAT4BwMAAAAQEf72_AAAAAYL-v3-AQAA7_T9CwP_AAASBAH9_wAAAPkF_vj-AAAA_g8FAAAAAAAHCPsDAAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABaPIAAND59f8F9-UA8inuAIEFC_8vF-kA1wELAMv51gAIIfsA2uIAAAQDBQDd8_YADuPIAgzjBAAr_gMAL_wAAP4HFgE76QoBLxACAPQD4wD0CRH_IvYLAPjq7AERGvwBD_7_AvTx4P_3EOMBC_8uAQojBAIV5PoC7_gR_wcLEADhEOz_Ff0IB-_7_PzwFBMA7vPu_QUN9wHfBOwC-xfyBPzqA_weAewCLAv_CPX2-vnzAQYAIPz7-_0bFAgFDeYJ_uAQ-O7u_wLnERj_NewMCfzyCgII6_7-DgPw-wjoCP3W8vj84gzzCAAFCQH8-vv0IAAtbidIOzgTQAlIYVACKs8HEAAawAeV8-2-gFggPc2abr33C9G8etlAPHhs-rztftW9O-qDvOeUW7xU15s9z5KRPK-49js4aYq-0Qw9PO2ufTxnYpo-TjqbvBrvWDx6Fy--CDwwPSmf1LxPeJG-ZxVMPanmi7omZ7I9szEGO9HTmzxvwAI9ONFTvQoJorz3VrQ9ZKAhPTKZIL3R55M9DpstvR0LxLtCoLk9230YvbgE_Tvtr4g9g-4cvS7aa7tw8Yu87NiMukMiyDly_gG99BKIPPYCWLzikgM-h6OQPDgPTDyWGus7qpm1ux8shLtVp168aCslPfiZRLxBCwk9vuxIPRFKqbyfEdc7-bV6vfZOnruX5DC-RG8sPeyCZrzdYDg-KaZcPeMbPjomDHS9XUa7PUwsujwrZb68SVjlvBZFlztkk9w9bv1PPGcxzDzWZJc9OCEDvbc1N7sIzUk9fm2iPOr_xTvs3Qe66Uuputsxtbyx64s7cHpVu7IKwLxZJFe9--Z-vP2FgTtS7aM9xeDGvCZ8hDvs3so8U54PPeGqfDwtyhE9XxeEvZpD8ztFGeC8JgTlO0OTn7xgFXk9jjzQPEGvKjtQj809mVC3PJOty7o30kO9VcJyuwK6TLttpJE8Xsh5vR-sNTuuMQM9_SBhPS85yTuusKo8XHwAPasGwLud-Ki76ZFwPVXnRbsw31C9UrBrPGk_jDubfr89FHf8PPSIKzpB47i8XSpAPUSpMLrVlQ8-1OxGveVHGbmVDAC9V19YvTNTczj8ie-8YUEwPV1DYLlq3oE9UWZovQIWhDmBCkI9D9UQPGHNM7jkBo08gfCsPcZ6Kjn_xXm7b5CavOgENrklMh29lRCMvdIjqThAuCe9432mPNyBIjomVkY8w7BQuj69XbquwAu9pmkrvOY2wzmB_eG8wCgcvDVqsTekZz89uw6VPdg-djiLa3w8yWP8PCdGLbmnwX48Mlx8u_h7zzgaAMU8jYljPZF9OjcbyaS9lraDvWsaLLgJ3xs9hI83PVwp_LjOr425VzqEPf1GFjjo2AE9EhNUPaqcgraaBxA93jjJvQg0-zajIIg9tqNzPTDeqLjK4QO-ENcePJf9TjeaVrO7ncMLvd3ovjeAcRs8oXHXvLR5H7iilBS8KebBuz5IODiSXRk-2U9QvazCP7kZm2y9iYTlvLRKzjd5Hjw9hf5TvKcomraceWa7Yw7CvCQqZTgy7qw9XCa-vexqQzci_-w9NSkFPvN-W7iu75O9OuPAPR4C6bhiglq9WyBmPWQ1uzfF3UW9_6vQuqaDPDggADgTQAlIbVABKnMQABpgRvUAKO0UDNQKLPHu1csC2N0t6hy59f_46f8AFM366zDhrREQ_xCaH_mkAAAAGufrEjAA4H_d18Ir3-P_xazs9xN-5C4kq_f25cIaB_T-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-MEAADxCAACAQAAA2EEAAMDAAABoQgAAGEIAAPhBAADAwAAA6MEAAGDBAACEQgAAQEAAAIjBAAAAwQAAWMIAADjCAACgQAAAUEEAAADCAAA4wgAAIEEAAMDAAADIwQAAcMEAAFRCAADgwAAAPMIAADBBAACEQgAAQMAAAJhBAAAAwAAAgEEAAIBAAACQwgAAQMAAAGxCAAAoQgAATMIAABxCAACgQQAAaMIAACBBAADAwAAAMMIAAGDBAAB4QgAALEIAAATCAABAwAAAAAAAAFTCAABgwQAAVMIAALBBAAAAwAAAwEIAAIC_AAAQQgAAWEIAAIC_AACowQAADEIAABRCAAAIwgAAgMAAAIBBAAA0QgAAAMEAACzCAADgwAAAmEEAAATCAADowQAA0EIAAGjCAACkwgAAYMEAANDBAACgQQAA6MEAACzCAABQQQAAgMAAAAxCAACIQQAAiMEAAJhBAADgwAAAQMAAADxCAACAwAAAgMEAAATCAADIQSAAOBNACUh1UAEqjwIQABqAAgAAiL0AADS-AAA0PgAAiD0AAIg9AAC2PgAAXL4AAFu_AABkvgAAJL4AABA9AAA8vgAAMD0AALI-AAB8vgAAfL4AAA0_AACgvAAALD4AABU_AAB_PwAAoDwAAL4-AABAPAAAiD0AAFy-AAA0PgAAFL4AAHA9AACGPgAApj4AAEA8AACgPAAA2L0AAKi9AAB8PgAAyD0AABy-AACuvgAAcL0AAOC8AAAwPQAABD4AAOA8AAA0vgAADD4AAIo-AAC2vgAAwr4AAA2_AABUvgAA-L0AAI4-AABUPgAAND4AAKC8AABBPwAAUD0AAHy-AABEPgAAqL0AADQ-AACAOwAAqD0gADgTQAlIfFABKo8CEAEagAIAABC9AABAPAAAuL0AACm_AAC4vQAAuL0AAKY-AAC4vQAAcD0AAFA9AADYPQAALL4AADA9AACGvgAAUD0AAKA8AAAcPgAA-j4AAKC8AAC2PgAAQLwAAMg9AADovQAABL4AAJg9AACIPQAAED0AALg9AAAEvgAAoLwAAHA9AADoPQAAcL0AAJi9AAAQvQAAyL0AADC9AABsPgAAbL4AADA9AACmPgAAmL0AABA9AACAuwAA6L0AALi9AAB_vwAAED0AAIi9AADgvAAABD4AAEA8AAA0vgAAiL0AADQ-AADYPQAAUL0AALg9AADYvQAA4LwAAJi9AABcvgAAyL0AABQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=53vfipKsnFk","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["1173696496112409323"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2931697822127647736":{"videoId":"2931697822127647736","docid":"34-7-2-Z79AEA5BC54854533","description":"For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3192014/f8be5cb50503d8e8176d380dabace44a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ahweLQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DY36y3w7A0L4","linkTemplate":"/video/preview/2931697822127647736?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Metric Spaces - Lectures 9 & 10: Oxford Mathematics 2nd Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Y36y3w7A0L4\",\"src\":\"serp\",\"rvb\":\"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_wgBAAEA-wMDDgoI-wIMAPv69gAAAO0K8AAFAAAA8_EHCgAAAAABDPr9BQAAABTw9Qn8_wIBCPoADAMAAAAgDf35-wAAAAoH8_X_AQAA5wH9AAMAAAAQ-_gFAAAAAPb-9fIAAAAA_gr5CwAAAAAKAvUBAAAAACAALUrE1Ds4E0AJSE5QAiqEAhAAGvABahH8_9_4FgHvBtoAyhXi_4HtHP80F_IA4v0T_88U2wDiGu4A8N0bAOv9FgHD9AEAIe7c_x7u6wAfEPz_FP79AAsVBQAyzw4BQPQEAAT38gABHyf_NegFAikI7wEIFQH9ExwR_drm0gHk9-cF--4pAB0qEAUP1w4F6_YV_-wGFP3E__L-_un8_wcQAPnsGBcACv3bAPsU7P_eKPUCCCX0-9_ZBPod_PsIQQvn_vjeA_TVCQ4BHRDyBuwfGv4NGvX6-fT3AunZ9vjkBw4BEsoHBvDuDPwi6fgHHOPuC_jkD_zj7_r3yjMJ-RP-EwEnCgbzIAAtQVolOzgTQAlIYVACKs8HEAAawAeSB_K-pkALPeCDl7zJd4S61TXkPPvxzbwDnm-96GlAPHPbPj0YmAU-gDPrO3-zvbv2lmK-BXiBPHk_DbxnYpo-TjqbvBrvWDx6Fy--CDwwPSmf1LwUB1C-k3Z-PIqaHr07RV09mborvF3fhzy1awI-xJNdO6BYo7shlaK8hkSQvE7etry9LDe8ALHAPFOitrxwQqE9hG1-u18elzxpGRk-vV87vWUX7zuA3go91Jn_u4TUbTu6Z629QVIavZnZQjzwWc08rHKAO0bSbjyJAy29B0BhvZ6W_rtVp168aCslPfiZRLzSxaY8eDsnPbZqNrtxyMY8cYQWvccpn7z5oAe-9BqbPS-BgDvdtBk-PRbRPANg-rsYPmK9drd8PRbfKzwVdQW8n8SMvDGUOLxcHQA-kGaRPDNXgjuldB-7I56RvIXBRjwvkbY9H9WFPQB4n7wqhB89aY_2O3HIhryEjgw9H4IqvJaVprwHRAi-HYgWPX_ThbzPmmQ99lFcvXvrrjvzvVA9ImsRPNZufTuEnp09Q_KEvZm3ajxcTai8uXJRvW9Ws7wisJg9FsZxPCO7d7y7z1Y9EhUKvaZPobwzA_C8KdwBvZZQi7w1KWU9oYG4vWpQDztcTxu8uzMJPT3CHzxwwYg8B5WdvPBwGrwl2h-9YQXPO3DNvjtdFQ29S92fvEE78Tvf-eU9TZSMu3kr4DoAAIw3pU7AvLNe6zpJDn09RcD8vCsy17sKo1m9jmnYu8sq8LqewRW932VwPQxjRrqhndM9UYGYvZedUTkNFrM8CHyJPdyp-Dgtyea83_TTPABpRbl-UYc9jhM3uj93Z7ndXlI8IRw4veNZ2Dl2PAG9oHOSvKoVkLh7T8A8BsfbPFOpwLq9uQm9GH4rvbRQBrn0APG7DTwSvZ4trDYMhLM9jy8GPUh15rgB8qk6pmQUvePk2Tj5py88YiCZvL2Q7birs5q8TftBPFirQ7ckRs88blyFvUlcnzhJd9860yTCPAtdFjZXfQk9pGl1PO00B7hywmQ93_8CPWwNDDg03Ns85l0lvgac57jQgBU9gEq1PZY0kLhodTK-ZKQoPRfKTLeaEv-8vbImvRW6x7fJIii8SP8mvdOaTbaf2JS9usRsvfJSFDid2e49n5WTuqNqDrmOqsu8cRb-u5mnn7aepqA8pKnevJ33ITeakAC5wMRpvKgBh7g_jsY9K94IvocitLjK9HA9IuErPvHLijh8Yo29IQPZPYE1MLkjaMy9DQH6O28GBjfAcmm9-DuvvFC4tLcgADgTQAlIbVABKnMQABpgS_4AIwIb3NoXP_oCzPcQz9I2yBSm9f8V1P_wAtEB_TT0swX8_wqiJfygAAAAKxHkGCsA1H_9vuIl2xT10dH470t2xyk1y_HvEr8AK-feDPIWyhViAPG9nRNUIu0RIAYGIAAtVhgXOzgTQAlIb1ACKq8GEAwaoAYAAChCAACwQgAAWEIAAGBBAAA0QgAAjkIAAMhCAAAgQgAAnMIAAHDBAAAUQgAAOMIAACDCAAAAQAAAiEEAABDBAAAAQQAAoMIAAKBAAACIwQAAEEEAAGDBAAB4wgAAuEEAAAjCAACOwgAA-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-EEAAERCAAAkwgAAHEIAALhBAACQQQAANMIAAFRCAABQQQAAEMIAABhCAAAgwQAAQEAAADDBAABQwQAAsEEAANjBAABAQQAAVMIAAEDCAACYwQAAiMEAALDBAACYwQAAmEEAAFDBAACAwQAAUEEAAAzCAADQwQAAHEIAAIjBAAAQwQAAoMEAADxCAAC4wQAAgD8AAJDBAABwQQAAyEIAAFzCAACgQQAA-EEAAM7CAACYwgAA-MEAAADCAAC4QQAAoEEAALDCAADYQQAA8EEAABBBAADgQAAAgMEAAMhBAABIQgAAgMAAAIhCAACQwQAATEIAAADAAAD4wSAAOBNACUh1UAEqjwIQABqAAgAAMD0AALg9AABsPgAAuD0AADQ-AADaPgAA4LwAAH-_AACAuwAABD4AABw-AABcvgAAPD4AANI-AAC4vQAAnr4AAGw-AAAQPQAAED0AACE_AABFPwAA2L0AAHQ-AADoPQAALD4AACS-AACaPgAAJL4AABC9AACmPgAAbD4AABC9AABEvgAAPL4AAGS-AACovQAAUL0AAIA7AADWvgAAEL0AAEy-AABwPQAADD4AABC9AABkvgAAFD4AAGw-AADKvgAAor4AAAW_AABUvgAAyL0AAJI-AAB8PgAA6L0AAIC7AABbPwAAEL0AAFS-AACKPgAAND4AAKg9AAC4PQAAQLwgADgTQAlIfFABKo8CEAEagAIAAKA8AABQPQAAED0AADm_AADYvQAANL4AAEw-AAAsvgAAyD0AAHA9AAAsPgAAPL4AAAw-AADKvgAAED0AAIA7AAAMPgAAEz8AALg9AACmPgAADL4AAKC8AACIvQAABL4AAIg9AACoPQAA4DwAAJg9AACovQAAqL0AAOA8AAAcPgAAuL0AAKC8AAAQvQAAcL0AAIi9AACWPgAAir4AAIC7AAAsPgAAoLwAAMi9AAAQvQAADL4AAPi9AAB_vwAAQDwAAPi9AAAQvQAA-D0AADC9AACovQAAML0AAIC7AABwPQAAML0AABQ-AABcvgAA6L0AAOC8AAB8vgAAEL0AAOg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Y36y3w7A0L4","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2931697822127647736"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5260443680608247741":{"videoId":"5260443680608247741","docid":"34-8-5-Z542318F690602E57","description":"To give an insight in to life in Oxford Mathematics we are greatly increasing the number of undergraduate lectures that we are making available. This Geometry lecture from Professor Derek Moulton...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4302760/b7ecc4fac51e3e8ad06204b967d09134/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ped0RQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dt8EmnCmdFkE","linkTemplate":"/video/preview/5260443680608247741?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Geometry - Scalar Triple Product: Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=t8EmnCmdFkE\",\"src\":\"serp\",\"rvb\":\"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_QQA8Qj9CRAE_AEG9QD6-f7-AO4J8QAEAAAAAOkIAQMAAAAEBvcBAgAAAAUJ9Q39_QEAFQT0APUAAAAVDgj-9gAAAAkH9Pb_AQAA7PzzCAP_AAAL9gEGAAAAAPUA__oDAAAABQf-_gAAAAAGAwEAAAAAACAALbR03Ds4E0AJSE5QAiqEAhAAGvABXv8qAcnw3v_w89gA3x3qAIEFC_8mLOn_0fwYANgQ4QDyEucA7v4AAPsAD__LBQAAEPbr_-P2-wAYAfr_JwoIAAMC9QAO1gIAKPMGABvq-P_lCxX_-uwNAP3f-wAWE9UA_u0Q_-4L4AH_7NgACfcZ_wcoEAH9DhAAAN8HBPUFBgDr-OL-EwsFAwIBBPzjAxkB5vfyBPkU-PrZHv_7CvcHBfMA-fssCPn-GhAD__gPEAT2BvoEIP7oA9kJGAL7EOP9-AMQ9e3g-PkG7wUJFOf_ARsI8gcM__UBFfX7Cv_vBvbtBQQB4g_-_PgL-gkSAv0AIAAtbidIOzgTQAlIYVACKs8HEAAawAeM9vi-XgImPPEN6ry-Wfk8EtjcvDwe6byqBVs9HWsQPRyGxbwbEBE-0lRPvPSFFT2cTZe-6j1cuWSPFrzFVYU-VDBvvZt_Krzv5U6-EKhDPRiswLsR_D--f2B4PRBEEryVLKc90sqYPBJCUbzvERs9wcS_vQiQAb2vROA9OrISPQDJdLwNQcQ8HnAYvd_-XLwFKYK8mn5EvWbPrzwgB7o9gpE3vYiynLwgV1Q9OK4VPcYEyrpy_gG99BKIPPYCWLwd6ME9hvx-uepJjzxQYiU7x98xPXJaJrwfoaS7ViYhPWaGqjvSxaY8eDsnPbZqNrvq8VY8MB7UvDN3VLmX5DC-RG8sPeyCZryo_As-pYOVPSSOhrxQw9e9xJJ3PWuMzjpz2P08SfaEOeXHKbwaTIg9wAhavUypiTtDVME9siI0PDkrfbzzKXY9flymPWZnkbymajE9M85VPUtCnrprg668yUgsPN7Gi7x8nXS9NsIMPaJ91znfMxS8Q52IPb2chjuWoeC8C-yxPNxmKjzJU1s9AICNvagwWzy_xyo8XZervBkyaLyg86Q8Xx4XPTCz-Lpu_Ok9TOStvStzqbsrtD08XwEWvKPElTo9kXE9-GEuvfnmirs5Who919yhPYPu_TvYv8a8xN5VPH_xMbyuiQC9ix9-PeyReTo0_hO9OOJEvUu-BjttWFM91e1HPDLn17o0nX29eJagPK_NqTvVlQ8-1OxGveVHGbkuzoO9YQgvvaioyrk_-iu9QmI2Pd3CuDnYLu085-o9vVN1JrnbFVm7lX7CvJMb07eUidu9Cd2aPe-96DiF-SE9ydAMvWo2_LWyqz-9r8hUvXOuPrfK5iK6t5TuuaOzVjrKU5Y8k4eqPBKvADoi-IS9U3elvEXoeDq4VOu7qLudO6iII7m3bpQ88_WGPDhBYDiYOqM8grEZPS66ujkcAUE9Q8YGPL_EY7nIL3I8l6iePYSQB7iYtFI7P3DFvfcuYDl5JTe4VGQePZ6okjjOr425VzqEPf1GFjiE8gA8oHraPE7vabev2Bk889qWvUlaH7dybD28s51qPSiCtrdYn8y9pi40PYN_LDlBaWI78EDTPGL7_DYSn2C7shw2u2ULMjYAlBq9GxJ3POOGszg4ZQ49Ad6ivWB1eDZgkHS99V2bPJSkGLivYiw9eJRvvYJcJDdZtC07u1NwO9OBIbjVlOQ8vjamvfOjTbjK9HA9IuErPvHLiji4H7C8r4grPSLTlbhnCZe8pgSJPZqypTc2Bli9MifDPDCDwzcgADgTQAlIbVABKnMQABpgSvMAEPoQ7N4LHPTouPwTwbEs6xWx9__55__lIs4U-xvbwf4WAAWkEOyiAAAAKPneBysA-38AwA0UCr_7xZbUFjhoFyb9xwAv6sT9IQ4C_egIyRxGAOi-jSY-G8kvNC4KIAAtKxgYOzgTQAlIb1ACKq8GEAwaoAYAAIA_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_AACovQAAQDwAABA9AAAkvgAARD4AAN4-AACCvgAAjr4AAJY-AADYPQAATD4AACU_AAB_PwAALL4AAJ4-AADgPAAAND4AAFS-AACWPgAARL4AADQ-AADaPgAAhj4AAAS-AACgvAAAUL0AAFC9AAAUPgAAFL4AAGy-AADSvgAAuL0AAFA9AAAQPQAAkj4AAMi9AABkvgAAyD0AAFQ-AAC-vgAACb8AAP6-AAA0vgAAQLwAAM4-AAA0PgAAMD0AAKC8AABjPwAA6D0AAKK-AACIPQAAkj4AABQ-AABAvAAAZL4gADgTQAlIfFABKo8CEAEagAIAAEC8AADoPQAAoLwAAEO_AABEvgAAXL4AAIo-AAAsvgAAmD0AABA9AAAMPgAAfL4AANg9AACKvgAAyD0AADC9AACAuwAACz8AAOg9AACuPgAA4DwAAMi9AAAwvQAAPL4AAHA9AAAQPQAAgLsAAJg9AAAQvQAAoLwAAIA7AADoPQAAyL0AAAy-AAC4vQAAuL0AAIi9AAB0PgAATL4AABA9AABkPgAAoLwAAEA8AABAPAAAUL0AAOC8AAB_vwAAQDwAAEC8AACAuwAA6D0AAJi9AABEvgAAQDwAAJg9AADIPQAAUL0AAMg9AAAkvgAAML0AAFA9AABcvgAA4LwAAFA9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=t8EmnCmdFkE","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5260443680608247741"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5817383490438379136":{"videoId":"5817383490438379136","docid":"34-3-2-Z76E7B8DB04601611","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1776757/3a554c36382c38a01b32ade8015f7862/564x318_1"},"target":"_self","position":"6","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dg6mM570_u70","linkTemplate":"/video/preview/5817383490438379136?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 4 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=g6mM570_u70\",\"src\":\"serp\",\"rvb\":\"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_xaCBCQBgAQrKosBEAEaeIH7_wH_-wYA-wMDDQoI-wIAA__4-f7-APYH_P__Av8A-_T__QMAAAACB_8B_QAAAPj6-w___wAABAb7B_kAAAAQEf72_AAAAAsN8AL_AAAA7_T9CwP_AAAQBff9AAAAAPkF_vj-AAAA_g8FAAAAAAAKAfYBAAAAACAALcSf4zs4E0AJSE5QAipzEAAaYCAHACwF-BPGGAv08-rJA_bRKfELyPb_9_8A9AfZ-fEY58v8EP8Loxf_ugAAABMC-BsmANtd9dm8IQb3--jL5fkbf_Uf_eQp8vTKLPbeJzMBCrwGJgDt3eMV_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-EEAAIJCAACAQQAA-MEAAAhCAAD4QQAAWMIAACDCAADAQQAAIEEAABDBAADgwQAAwEAAAChCAAAQwQAA8EEAAGRCAACKwgAAuMIAADDCAAA4wgAA0EEAABjCAAB8wgAACEIAAKjBAABAQQAAoEEAAETCAACAwAAA2EEAABTCAAAwQgAACMIAAIDAAAAwwQAAMMEgADgTQAlIdVABKo8CEAAagAIAAFA9AACIvQAAPD4AAJg9AAAEPgAArj4AAI6-AABjvwAAJL4AADy-AAD4PQAAVL4AAHA9AACePgAAjr4AAJK-AAARPwAAEL0AAIg9AAAHPwAAfz8AAOC8AACuPgAAED0AAHA9AACKvgAALD4AAAy-AAAwPQAAij4AALo-AAAwvQAAoLwAABC9AAAQvQAAHD4AABA9AAB0vgAAvr4AAJi9AACYvQAAED0AAPg9AADgvAAAuL0AAOg9AACKPgAAyr4AANK-AAAVvwAAfL4AAPi9AABkPgAAND4AAHw-AABQvQAAQz8AABA9AACWvgAABD4AAIi9AAA8PgAAQLwAAIg9IAA4E0AJSHxQASqPAhABGoACAABQvQAA4DwAAMi9AAApvwAAyL0AAJi9AACOPgAAyL0AAMg9AAAwPQAAmD0AABy-AAAQPQAAgr4AADA9AABAPAAAyD0AAAE_AABAPAAAxj4AAKC8AABwPQAA6L0AAPi9AACYPQAAiD0AABA9AADYPQAADL4AADC9AABQPQAA2D0AAIC7AAAwvQAAgDsAAAy-AAAQvQAAfD4AAGy-AACIPQAAqj4AAFC9AAAQPQAA4LwAAOi9AAAkvgAAf78AAIg9AAAwvQAAoLwAAPg9AADgvAAATL4AAOC8AABUPgAA2D0AAHC9AACIPQAADL4AAOC8AACIvQAATL4AAKi9AAAcPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=g6mM570_u70","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5817383490438379136"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16015526214547870150":{"videoId":"16015526214547870150","docid":"34-3-16-ZE565965314E5AB2E","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3839128/f46880db3c248391a266122d01235a7b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/mJqAPAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DaS6R3epK3ms","linkTemplate":"/video/preview/16015526214547870150?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 1 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=aS6R3epK3ms\",\"src\":\"serp\",\"rvb\":\"EqoDChQxNzIwODAzMDc5MDM0NTA0NzEzOQoTNjA5MTEzMTc2NTA2MzU3NTY1OAoTMTE3MzY5NjQ5NjExMjQwOTMyMwoTMjkzMTY5NzgyMjEyNzY0NzczNgoTNTI2MDQ0MzY4MDYwODI0Nzc0MQoTNTgxNzM4MzQ5MDQzODM3OTEzNgoUMTYwMTU1MjYyMTQ1NDc4NzAxNTAKFDExODc2MDUzNjM3MzUyMzc4NjgzChQxNjczNjA5NjEzNzgyNDI5ODE5NAoTMTQzODc4NDc4NzQ5NTM2MjEyOQoUMTcyOTU1MTA2Njg0MDQ2ODE5ODIKEjE3MDQ3NTMzMTQ5NzYxMDg3MgoTMTg5NTQ2NTg3Mzc3NDM1MDM3MgoUMTY0NTg2Njk4MzI4NzQ2NTM0NjkKEzYwNzE4NTY1MjE5NjYxNTQzODMKEzc0NDQxNDA4MjA2NDU4NjI5MjkKFDE2MjQ5MDg3MzYwNDk0MjQ0NDQzChM0ODI4MTE2MzA0MDk5NzgxMjA2ChM0Mzg4ODE5OTgwMDUzMDM2ODEzChMzOTc4MzYzNTAyMjQ0MDExNjI4GhYKFDE2MDE1NTI2MjE0NTQ3ODcwMTUwWhQxNjAxNTUyNjIxNDU0Nzg3MDE1MGqIFxIBMBgAIkUaMQAKKmhoeGFscmJ6a3Ztd3VzYmJoaFVDTG5HR1JHX191R1NQTEJMenloZzhkURICABIqEMIPDxoPPxOzFoIEJAGABCsqiwEQARp4gfv_Af_7BgD7AwMNCgj7AgAD__j5_v4A9gf8__8C_wD79P_9AwAAAAIH_wH9AAAA-Pr7D___AAAEBvsH-QAAABAR_vb8AAAACw3wAv8AAADv9P0LA_8AABAF9_0AAAAA9gD_-gMAAAD-DwUAAAAAAAcI-wMAAAAAIAAtxJ_jOzgTQAlITlACKoQCEAAa8AF_BfsCwggP_g0H3QD-IfUBix8K_yMS5wDJ_B0AwfjOAA4c8QHSvAH9AOEMANL5EAAR3r4CG9EHARwB-f9CDQ0ADAcUADTe_QA2AP0A_gTr_-8FCQAo9Q0A_s7jABUf-wIb9QP--gHP_wAF5AP_BCcAHCkPBQvi__74-Bz_CQ0TAPMK6wQEFQwE5fkJ_-grHwL48eb88in-A9sR9P3wIP4AAdQL_iMC6QI0Df4KAQEK-er1Ef4m_uQD_CAYCQP97_vw0P749ukI_uUHDgE_6A4K8O8L_A7eBwP2BO_-C_IA8Nj4Bf7QE_T2-AL_BuQH9u8gAC3g4Sk7OBNACUhhUAIqzwcQABrAB3XLAr-EVSs9mEEGvVXZ9zwSVdM8-DAgvfiDRr1WwYO87cT6uzAcXj2kPuI7-9L2PLcNk74bVBM8G7QcvYNQtj4a8rS8r1VMPHoXL74IPDA9KZ_UvPWha76E0wc9dDXDu_zvgj3xb8Y8haDZPNaiLz1UPfS82qQqu1YQsz0H6hQ7s7xBvRH5kzzTI5e83DYCvBbqjz3CVXm8822kO1sxoj2xkVq9T2xPPPL4TL1CE3E6OM63u3b5O73_4yk8S01MPOKSAz6Ho5A8OA9MPLHeCD0OG0C7eKevu3N2_LwzuLc8Dw52vPcm4TxdhpQ98LXxvF1OLj0xA_q8rXesO3f1Cr6gny49XPlRvN20GT49FtE8A2D6uyYMdL1dRrs9TCy6PIhX47wPR5e8ZywYvAGZtz3Woiq8VyGKPCvKOz2BtrC80KJSvGLvKj1-QLk6jtj-ulwTHL0I8My7HJ-kvLIDeDzro7i8Dc-BvFhrbb1Cj967iz7VvDt0xT0HAR69rhQbvKcHZT1blNk82MJiPMlTWz0AgI29qDBbPM3MjLw-JhI9DYKYvAsSdj3doXY7W4ltux5r5j0bKgY9OEMWvFxMGrxte7G8_RErvDeq7jwqmVK9C0drPLEkLz3oZ2o8aNTXO7bkJz2Y_iA9uV0gvHLsj7yJk0A9TbAsO-wIMb3UDKm8HR9Ku6MNxj2Wr8s6YG69Oyy5qzvXXWo8dqmRuwsk6D2rAS-97MnTOZUMAL1XX1i9M1NzOH--Lb0hV6o8cI4EuwfRWj0PTAm9s4WAuvBOXj1zsj49wVZCOe8ZLjyp2UM9aTACOXW2Njyr6BG8uwKXOOQ-Q73LOBy9QCTUuLeyzblrzgU8zWywuYfk_zzuu_088p2nOY6r9rwtUH87jb4Wuvy3_TpLL3-7aglZtxDJcD00gNc9H9Ijt9595TtXnmy5NBGruJZTDD27N1A8kMk-ub7x2jxAlo89At0FORvJpL2WtoO9axosuJyoJT1hKBE9zUPlOOsPHrz6Y_U8DjI2t-Pj0zzGhQM9zeEyuIsWgD1EKsG9fSojOOFqcz1nPUE9ZfbpuMrhA74Q1x48l_1ONzW2lzzntF08wUDnOH1V07xb_SC8xtoUuHdz57zwYzG9wsPcN5JdGT7ZT1C9rMI_udGSx7x754I7egc5N3kePD2F_lO8pyiatqweQ7oKw1s8iM_TtzLurD1cJr697GpDNyL_7D01KQU-835buB44gr0z8549nOfyuLHhab22Ko07i7zCt3LyTL3hHlC9AdINuCAAOBNACUhtUAEqcxAAGmA98wAn7BMT1QUp9ezOzgDj3ivgG7_g_-_0__kQ0voAL-auDRX_FJwPBKkAAAAT7_cbOADpeNnbuCXy8Pfdr-X1HX_qKRy6-ez5vwz75vMi_v3ODz8A_dSVGSgKuTkUK_ggAC0j8SE7OBNACUhvUAIqrwYQDBqgBgAAwEAAAKjBAACkQgAAkMEAABBBAACoQQAABEIAAFDBAADMwgAAFMIAAIA_AADAQQAAFMIAAPDBAACCQgAAkMEAAMDAAABAwQAAgsIAALTCAAAgwQAAgMEAAAzCAACUQgAALEIAADhCAAAMwgAAPMIAAM5CAACUQgAAOEIAAIC_AAAEwgAAVEIAAFjCAACQQQAAUEEAAMpCAAAMQgAAuEEAAEzCAAAgQQAA4EEAAJBBAADgwQAAQEIAACDBAABMwgAANEIAAMBAAACwwQAATEIAABBBAAAAQAAAYMIAAMDAAABUwgAAMEEAAJhBAACYQQAAWMIAABzCAAB8wgAAEMEAAIhBAACowQAAKEIAAKDAAABcwgAA4EAAAABBAAB4QgAA-MEAAI5CAAAQwQAAOMIAAOBAAAAAQAAAYEIAACjCAAAUwgAA4MAAAAAAAACQwQAAGEIAAAxCAABwwQAAOEIAAEhCAAAgwQAATMIAAARCAACAQgAAgMAAACBBAAA8wgAAwEAAAIDAAADAQQAA-EEAAIrCAACwQQAA4EEAAJjBAACEwgAAAAAAABDCAABwQQAAdMIAAOhBAABQQQAA4MAAAGDCAADowQAAYEIAANRCAACgwQAAgsIAAEBBAABIwgAAcMEAAMDBAAAgQQAARMIAAADAAADQQQAAQMEAACTCAACwQQAAOMIAANDBAABUwgAA0MEAAGRCAABMQgAAIMEAAGBBAABwwQAAgMIAAKrCAACowQAAfEIAAAxCAACIQQAA8MEAADBBAAAMwgAA-EEAAAzCAAAAAAAAVEIAAHBBAABAQQAA-MEAANDBAAAAwQAAEEEAAAzCAAAAwAAAAMAAAEDBAACAvwAARMIAAEBCAAAAAAAAQEAAAOjBAACIwQAAuEEAAAjCAACSwgAAQEIAACBBAAAgwQAAuEEAAAhCAAA4QgAAqMEAADxCAAB8QgAAKMIAAEzCAAAAwAAAdMIAAFBBAAA4QgAApsIAAFhCAABwQQAAoEEAAPjBAABAQgAAmMEAABBCAACAwQAAQEIAACDCAAA8wgAAmsIAAFBBIAA4E0AJSHVQASqPAhAAGoACAAAQvQAAbL4AABw-AABQPQAAmD0AAMY-AACuvgAATb8AACS-AAAUvgAAyD0AAIa-AAC4PQAAkj4AAGy-AACKvgAAAT8AAEC8AAAUPgAAAz8AAH8_AACgPAAAjj4AAIA7AABAvAAAhr4AAFw-AAAEvgAAoLwAAGw-AACuPgAAEL0AAOC8AACovQAAgDsAAFw-AAAQPQAAJL4AAK6-AACovQAA2L0AALi9AABcPgAAoLwAAIC7AACoPQAAbD4AAIq-AADKvgAACb8AAI6-AAAsvgAAij4AAHw-AADoPQAAEL0AAEU_AABwPQAAfL4AAAQ-AACgPAAAbD4AAIC7AAAwvSAAOBNACUh8UAEqjwIQARqAAgAAmL0AAFA9AADovQAAIb8AAAS-AAC4vQAAuj4AALi9AAAkPgAAgLsAAJg9AAAcvgAAQDwAAHy-AACgPAAAED0AAMg9AAD2PgAA4LwAAMY-AACAOwAAUD0AACy-AAD4vQAAiD0AAKg9AABAPAAA6D0AAAy-AAAwvQAAcD0AAAQ-AABQvQAAEL0AABA9AAAMvgAAUD0AAGw-AAB0vgAAcD0AAMo-AACIvQAA4DwAAIA7AACovQAAFL4AAH-_AABQPQAAUL0AABC9AAAkPgAAoDwAAHy-AABQvQAAij4AAAw-AACovQAA4DwAAOi9AACAOwAAcL0AAGS-AAD4vQAAFD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=aS6R3epK3ms","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["357215032207485492","16015526214547870150"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11876053637352378683":{"videoId":"11876053637352378683","docid":"34-8-11-Z9015916F4DDE0E6E","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2708494/3d5598777c306b63c6ba2c4f9da334d9/564x318_1"},"target":"_self","position":"8","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DnYM0gaPU-8g","linkTemplate":"/video/preview/11876053637352378683?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 3 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=nYM0gaPU-8g\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD7AwMNCgj7AgAD__j5_v4A___0-_0E_gD79P_9AwAAAAIH_wH9AAAA-Pr7D___AAAEBvsH-QAAABAR_vb8AAAACw3wAv8AAADv9P0LA_8AABAF9_0AAAAA9gD_-gMAAAD-DwUAAAAAAAcI-wMAAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgIQgALwf7EsAbDvL16cgB9NYl8BLH8__w-gDx_9367hrewgAP_wumFwG4AAAAFv72HCMA2F_52bwmA_P86s3k_yB_8iP58iPy8tMq_N8lPPr_vQklAOji5BQECOBDAz0QIAAtL7w-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-EEAAEBCAAA8wgAAQMAAAIBAAAD4QQAAqMEAAPDBAAAAQAAAIEEAADDBAACAwQAAuEIAAKDCAACEwgAAQMAAABDCAAAEQgAAwMAAACDCAADYQQAA4MAAAEBBAADgQAAA4MAAALBBAADQQQAA4EAAAIJCAABAwQAAcMEAAMDBAACAPyAAOBNACUh1UAEqjwIQABqAAgAABL4AAOi9AABsPgAATD4AAFQ-AACePgAAqr4AAGW_AAAkvgAAHL4AAFA9AABMvgAALD4AAKo-AACYvQAAgr4AAAs_AAAwPQAA4DwAAAU_AAB_PwAAMD0AALI-AAAwvQAAoLwAAIa-AABUPgAAPL4AAHC9AAAkPgAAwj4AAOC8AACgPAAAyL0AAAS-AABsPgAAiL0AACS-AACuvgAAiL0AAKi9AADgPAAABD4AADC9AACAuwAAHD4AAI4-AAC2vgAAwr4AAA-_AABsvgAAFL4AAGw-AABMPgAAoDwAAFC9AABZPwAAED0AAI6-AAA8PgAAQLwAAIg9AABAvAAAQDwgADgTQAlIfFABKo8CEAEagAIAAPi9AACAOwAAEL0AADG_AAAQvQAAyL0AAIY-AADovQAAcD0AAIA7AADYPQAANL4AADA9AACevgAAuD0AAOA8AADYPQAAFT8AADA9AACePgAAoLwAAMg9AACovQAA-L0AAHA9AACoPQAAQDwAANg9AADIvQAAuL0AAFA9AADoPQAAQLwAAPi9AADgPAAA6L0AADC9AAB0PgAAhr4AAIA7AACWPgAAcL0AAKA8AABwvQAA2L0AAAS-AAB_vwAAoLwAAEC8AACIvQAABD4AADC9AABMvgAAML0AAGw-AACoPQAAEL0AAMg9AADovQAA4LwAABC9AAB0vgAAiL0AAAw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=nYM0gaPU-8g","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["11876053637352378683"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16736096137824298194":{"videoId":"16736096137824298194","docid":"34-6-6-Z1ED1C748329FB95C","description":"For the first time we are making a full Oxford Mathematics Undergraduate lecture course available. Ben Green's 2nd Year Metric Spaces course is the first half of the Metric Spaces and Complex...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4238826/8f3a91e81d73dfc2a1378b233577931c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/W2-hVwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_wqGTXZuvJw","linkTemplate":"/video/preview/16736096137824298194?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Metric Spaces - Lectures 11 & 12: Oxford Mathematics 2nd Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_wqGTXZuvJw\",\"src\":\"serp\",\"rvb\":\"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-_r3AAAA9gf8__8C_wDz8gcKAAAAAAEM-_0FAAAAAPvyDPn-AAAI-wALAwAAABUOCP72AAAACw3wAv8AAADoAf0AAwAAABD7-AUAAAAA9v718wAAAAD_CvkKAAAAAAMG-fwAAAAAIAAtzm3eOzgTQAlITlACKoQCEAAa8AFXDv3_4QgPAfIF4QDO_dEAgQUL_zwU9gDf8gj_zBfzAAgh-wDz4xYA6w0bAc32AQAm4N3_GeTrABH1_P8Q_v0AFgoZACnYDAEuAP0A_wTu_wEZIP82_f8BDAb1AAoAAP0QFw7-4evaANb98AAL_y4BDRYTAAnm__71BQkB9RIYAeoM9wT98_MD8Ab4AfAUEwAU_-v9BQnqAO0Y7gIADPcIAdsK_xYO-gQpGf0B-u32_OP5_wUaC_r6_RsUCBgXAvgC-OwA9ukB8-QNCvgP0wYF--oRARPe-g399vn6A-QSAeX6C_TUKgj6Cf4FBSAIBfUgAC1uJ0g7OBNACUhhUAIqcxAAGmBF-AAe9xbd2xFG_QTb9BTQ3jjNJbXl_wTc_-4J5P31Nem1E___DZod-aIAAAA1COoTLwDlf-a_yzjlEAPMwN0GNWbYEhfB7f0E0voh-usS_QXZFVkA78mLJkIRxREOKQEgAC1dCh07OBNACUhvUAIqjwIQABqAAgAABL4AAOi9AACWPgAAiL0AADA9AABcPgAAqL0AAG-_AADIvQAAQDwAAEw-AACSvgAAgj4AABU_AACgPAAAgr4AAMI-AADYPQAAZD4AABE_AABZPwAAML0AAJ4-AADIPQAAoDwAAKa-AACePgAALL4AAEC8AAA8PgAAZD4AAOi9AAAkvgAAVL4AAPi9AACAuwAA-L0AADC9AADWvgAAFL4AAMi9AAAwPQAAFD4AAIi9AABEvgAAmD0AAFQ-AACmvgAATL4AAA-_AABsvgAAgLsAAM4-AACCPgAA6L0AAIA7AAB_PwAALD4AAOi9AACKPgAAPD4AACQ-AACgvAAAoLwgADgTQAlIfFABKo8CEAEagAIAAEC8AADgPAAAgDsAAD-_AAC4vQAAPL4AAFQ-AABEvgAA4DwAABA9AAAEPgAAbL4AAOg9AADGvgAAqD0AAKC8AACIPQAAET8AAFA9AACSPgAA2L0AAIA7AABQvQAA-L0AAIg9AACIPQAAQDwAAMg9AACYvQAABL4AADA9AAAMPgAAqL0AABC9AABwvQAAcL0AAIC7AACmPgAAgr4AAHC9AABMPgAAgLsAAKi9AAAQvQAAFL4AANi9AAB_vwAA4LwAAJi9AAAQvQAA2D0AAIi9AAAwvQAAML0AAIC7AABQPQAAEL0AADw-AABEvgAA-L0AAKC8AAAsvgAAUL0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=_wqGTXZuvJw","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["16736096137824298194"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1438784787495362129":{"videoId":"1438784787495362129","docid":"34-8-17-ZAA335A58E2CC7D05","description":"This course is taken in the first two weeks of the first year of the Oxford Mathematics degree. It introduces the concepts and ways of mathematical thinking that students need in the years ahead...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4579100/8762bcb04927123fdcacca4da1d4792d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VxZtKAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D3uwPxQY2CQA","linkTemplate":"/video/preview/1438784787495362129?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Introduction to University Mathematics: Lecture 5 - Oxford Mathematics 1st Year Student Lecture","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3uwPxQY2CQA\",\"src\":\"serp\",\"rvb\":\"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-xiCBCQBgAQrKosBEAEaeIH7_wH_-wYA-wMDDQoI-wIAA__4-f7-APUF9f32Av8A-_T__QMAAAACB_8B_QAAAPj6-w___wAABAb7B_kAAAAQEf72_AAAAAsN8AL_AAAA7_T9CwP_AAAQBff9AAAAAPj--fz__wAA_g8FAAAAAAADBvn8AAAAACAALcSf4zs4E0AJSE5QAiqEAhAAGvABffsTAdb7-f_dEOAA6gzZAYEiCv4wOOL_4P0U_60Szf_uGfcA1OoOABH6B_-_9AEAEtu4Ag_aBQAeAfj_LfsGAAEZEgEj1vQBNQ8WAgzu3gDgIhH_F_gPAP3K4AAdKuX_KvkBAA0L2wHuA8UCDv47AR4sEAUd7vIA7AMsAf8PKADlA-gA-RAD_PHf__r5IRoEEv_sCBEW-_3XF9sA_QHtA_Hd_f8mAucCRAzl_voJEvro9BL-MAf9-fcSEQcb_9gC5fAF8Pjk9gLK_A0BJ_IbAPj9DQYJ9QIFEe3yAf_rB_TL7vb7wSr5BQYTCAT5CvfyIAAt_yEdOzgTQAlIYVACKs8HEAAawAf9FgG_WNHVPFS3hrv3C9G8etlAPHhs-rwuqZ-9Awu7vFPwb7wwHF49pD7iO_vS9jyhSHe-c1a6PKQ2Mb1nYpo-TjqbvBrvWDx6Fy--CDwwPSmf1Lzgu22-XoqWPRa5TLw7RV09mborvF3fhzwRg4o8RnCtvOs9z7v3VrQ9ZKAhPTKZIL1vJ4Y9-NmtvAXBvTlCoLk9230YvbgE_Tv4RGg9vcNtvN7bvjshv8i8xf8AuyHdmTy_tYO9eYqBPFppDLvikgM-h6OQPDgPTDychLk7fjvJvOqrULzAiTK8vQiJPMFwDbxBCwk9vuxIPRFKqbzYwgc9RMeZvfI7sryoyCG-AnwcPejpbTzdYDg-KaZcPeMbPjpPPAe9DXnKPYdg5jsrZb68SVjlvBZFlzuvZ349wUIcPEJ5HTzuK2o9ufIjvSqTfroErNU8M6KZPPTzSzxcExy9CPDMuxyfpLyx64s7cHpVu7IKwLwqWYm9JXQ4u6a1zLpS7aM9xeDGvCZ8hDs_vPg8eUWLPA6zYTygPVI9zB8YvUjaMjxFGeC8JgTlO0OTn7wCZwQ9KE80PCJAHztgcqg9Rz4OPKB_CrvYdRm9HGpKPDNRJbs3qu48KplSvQtHazzpfD09bzsePYDqozu_a6e7OsO5PNY1f7yno029aYVuPUOKBTtWpUi9xBoZvGCg1jubfr89FHf8PPSIKzqAY7K7lGD7PKDHpDvVlQ8-1OxGveVHGblpzD-90GM0vciPnbp_vi29IVeqPHCOBLs-YUQ95wN9vSeWvbhKoWc96QeaPPMaJzlLmS88eFyJPf4XVbi19I08cJjovGug4jclMh29lRCMvdIjqTicNbi8_dJHPC8kdbo7mAM9zgr7u70x67qMKmi8kwfYPGebJDq6ZWq71928vO4ByrgQyXA9NIDXPR_SI7eBvqE79Q_iPA4lKTnO2_08jVP-PJaIhTl1mrs8pN_-PBo22LdEa5W9aeOovYLkQTftREk9W-z2PON8Zzhk5NE8xQ-EPd6i_rf2RzM9pjRxPQrtsbiLFoA9RCrBvX0qIzgQgbk9YVyAPS0k-LjK4QO-ENcePJf9TjcNZg06nZCMvD0ztrj1m2w7cLYUveO69zY9W6y8kSEMvXqsQDgfnwA-pOSQvRXoOrmMcRS923tCvcX8Z7gC_t88n5SkvG49TDhHSoQ8EEPGvONW_LeCyAI-OaDAvTwBPzgi_-w9NSkFPvN-W7jwsjW9XMzPPQxGCrmyq4-9fLr6PHOUNDfY4HO9zPx0vcwWjbggADgTQAlIbVABKnMQABpgNPAAJuwSCN4KG_Xx09b-3Nol6BC99f_z7v_yFdgC9SXXvxAK_wShL_yuAAAAGfT5FC0A5XHk29Ec4_T80qrl9xh_4iggsfT0-cAaC_QFJ_4A0BZJAP_gohcfB7w8Fy4TIAAtC3spOzgTQAlIb1ACKq8GEAwaoAYAAOhBAABgwQAAzEIAADjCAACIQQAAyEEAAJpCAACAwAAAmMIAAIjBAABgQQAAAMAAABDBAADQwQAALEIAAJDBAAAMQgAACMIAACRCAABowgAAuMEAAIDCAABMwgAAGEIAALjBAABgwQAAhsIAACDBAABgQgAAZEIAAOjBAADAQAAApsIAABxCAAC-wgAAoMAAAEBBAABkQgAAmEEAAKRCAAAQQgAA4EEAAJBBAAAMwgAAIMEAAIjBAACgQQAAwMAAALBCAACgQAAALMIAAHBBAACQwQAAIEEAAADBAACAPwAA4sIAAERCAACYQQAAaEIAAFBBAAAYwgAAlsIAAMDAAACAwAAArMIAANjBAACowQAAIMIAABzCAAAwQgAAiEIAANDBAACiQgAAEMEAAETCAABkwgAAqMEAAPhBAACoQQAARMIAANBBAADAwQAAAMAAAOhBAACIQgAAiMIAAKBAAACaQgAAuEEAAIDAAABoQgAA-EEAAMDBAAAUQgAALMIAAMBAAACwwQAA4EAAAKBBAADIwgAAJEIAAEBAAACYwQAAcMIAAMDAAACIQQAA6EEAAKDBAAAkQgAAFEIAAKBBAABAQAAA6MEAAMDAAADGQgAAAAAAAMDBAACAQAAAisIAAJjBAADAwAAAoMAAADjCAACYwQAA-EEAAAjCAAAAwAAAOMIAAKhBAAAwwQAASMIAANDBAAA8QgAAEMEAAAAAAADYwQAAIEEAAABBAACWwgAAQEAAAIRCAABQQQAAyMEAADxCAABAQQAAOMIAAABBAABgwQAAgD8AAMBAAABAQgAADEIAADDCAAAAwgAA4MAAADDCAAAgwQAAUMIAAIC_AADQwQAAikIAALDBAAAUQgAAHEIAAJhBAADYwQAAQEEAAERCAABowgAAsMEAAEBBAAAcQgAAEEEAACjCAAAgQQAAoEEAAHDBAAAwwQAA4kIAAJTCAACmwgAAgEAAAATCAACwQQAAQMEAAEjCAADgQQAAwMAAAARCAAC4wQAAoMEAAFBBAAAAQQAAQMEAACBCAAAwwQAAoMEAADTCAACAPyAAOBNACUh1UAEqjwIQABqAAgAAUD0AABy-AAB0PgAAUD0AAEw-AAB8PgAAfL4AAGO_AAAMvgAALL4AAKg9AAA8vgAAHD4AAHQ-AACKvgAAdL4AAKY-AACAOwAAiD0AAAU_AAB_PwAAcD0AAJI-AACgPAAA4LwAACS-AACaPgAATL4AAIC7AACOPgAArj4AAKg9AAAEvgAAXL4AAMi9AABEPgAAcD0AAAy-AACSvgAAgDsAALi9AADIvQAATD4AADA9AAAcvgAAfD4AAJY-AAC6vgAAwr4AAAe_AABUvgAAmL0AAFQ-AAAsPgAAJD4AAFC9AAA_PwAAQLwAAIq-AADYPQAAQDwAADA9AACgvAAAgLsgADgTQAlIfFABKo8CEAEagAIAAKC8AACgPAAAEL0AADG_AABwvQAADL4AAJI-AAAUvgAAcD0AAOA8AADYPQAATL4AAJg9AACevgAAcD0AAEA8AAAcPgAABT8AAOA8AACWPgAAiL0AAMg9AADovQAAyL0AAKg9AACoPQAAED0AAIg9AADovQAAoLwAAFA9AADoPQAAML0AAHC9AABwvQAAyL0AAJi9AAA0PgAAbL4AAKA8AACKPgAAgDsAAKC8AADgPAAAHL4AACS-AAB_vwAAoDwAADC9AACgvAAAFD4AAOC8AAA8vgAAmL0AACQ-AACoPQAAML0AAAQ-AAA0vgAAiL0AAIi9AABMvgAAuL0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3uwPxQY2CQA","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["13548170341482032648","1438784787495362129"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17295510668404681982":{"videoId":"17295510668404681982","docid":"34-10-2-ZE4E0A968028926D6","description":"This videos tutorial provides a basic introduction to advance mathematics . Manifolds Integral Equations Integral Transforms/Operational Calculus Manifolds/Cell Complexes Measure and Integration...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4370617/c5186d7932de53fcbd611cd1c279a3ce/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/y9dscgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DP05e8S1SfIA","linkTemplate":"/video/preview/17295510668404681982?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Professional Mathematics lectures","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=P05e8S1SfIA\",\"src\":\"serp\",\"rvb\":\"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-vcAAAAB__7-AgX-APjt_wYHAAAABRL2AP4AAAAE-_wK__0BAAQE-AcDAAAAIA4DBAAAAAALDfAC_wAAAPXy_wED_wAADQgBBQAAAAD1AP_6AwAAAAECCAAAAAAACgL1AQAAAAAgAC1QGeE7OBNACUhOUAIqhAIQABrwAX_sIQHTCgIAy_H4ANoswwGVFAz_CR7m_7vxCwC698kABjcgAfX7FQAZ3QYAvBgIAOUFyP868vYAF80V_wQX5gHl8zIAGuDdAD0VA_8N7d0A3yMS__LWBf714-YCGhrfAOnr-vwT-MIB8Ofo_zPvHwLjMfwE8hohAurw_gPpPfL-7N7a_uUJ7wHw3v_65NglAxrp_gElNfP-zgYE_RoH_foNEQD-JR4BAPnu9Q7kCwr5w_PfAAriBAAoAhIB8wAGAeoUDvbbzQn3Cery-t_uAgb4EfcBHwnqCPQN__8AzfgB_BYNB-Yr9v8E9AYAAOD7-iAALVTpGDs4E0AJSGFQAipzEAAaYCDzAC4fPfToG1Tq4M3hDrfdCccWvPj_39z_DSoK7QkZ6_P7HQAnvRXYowAAADz2EwgUAMZ_t9v8OhIAQrjA4w4Zfcw7-qUiMijREx_lv-cOJbQUKwDz75MvORO6DgIzNCAALU2XEzs4E0AJSG9QAiqvBhAMGqAGAAC4wQAAoEEAAEBBAADoQQAAwEAAACBCAADoQQAAgD8AANDBAABIwgAADEIAAKDAAACwwQAAjMIAAChCAADIwQAAUEEAAETCAABIwgAAOMIAAJDBAAB8wgAA6MEAAHBBAADYwQAA0MEAAMjBAABgwQAAAMAAAMBAAACQQQAAAEAAAGzCAADAwAAAKMIAADRCAAAAQgAADEIAADDBAABEQgAA0EEAAADAAAAIwgAAuEEAAMBBAABAwgAAGEIAAMjBAACQQgAAAEIAABjCAAAgwgAAYMEAAIhCAAAgQQAA0MEAALrCAABYwgAAoMEAAMDAAABwQgAA-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-AACOvgAAcD0AAJg9AABQPQAABD4AABC9AABXvwAAmL0AAIg9AADgvAAANL4AADA9AAC6PgAADL4AADA9AAB0PgAAMD0AADw-AAArPwAAWz8AABS-AADmPgAAML0AABS-AAD4vQAAND4AADS-AAAQPQAA-D0AAJo-AAD4vQAAEL0AAEw-AADgPAAA4DwAAEy-AABEvgAA9r4AAFC9AAB8vgAAJL4AAIo-AAD4vQAAjr4AAPi9AAAsPgAAwr4AADS-AAB8vgAANL4AABy-AACmPgAAjj4AAEA8AAAQvQAAfz8AAEQ-AAAUvgAAiD0AAIC7AAB0PgAAgLsAAPi9IAA4E0AJSHxQASqPAhABGoACAAA0vgAADD4AABS-AAAzvwAABL4AAFC9AADePgAAuL0AAIY-AACAuwAAQDwAAFS-AACIvQAAbL4AADC9AAAQPQAAEL0AAPo-AAC4vQAApj4AACQ-AACIvQAA2L0AAFC9AAAQvQAA6D0AALi9AAAwPQAAPL4AAKg9AABQPQAAFD4AAOi9AABwvQAAqL0AABy-AAAcPgAA6L0AAJK-AABUPgAALD4AAMi9AAAsPgAA-D0AABA9AAAQPQAAf78AAKC8AADYvQAAEL0AALg9AACIPQAAQDwAANi9AACGPgAA-D0AAFC9AABwvQAAUD0AABA9AAAwPQAAXL4AAFy-AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=P05e8S1SfIA","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["17295510668404681982"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"170475331497610872":{"videoId":"170475331497610872","docid":"34-6-12-ZE4736F371EF354BA","description":"This lecture is part of the lecture series on Differential Equations. This lecture covers the following topics: Clairaut's Equation Orthogonal Trajectories Examples with Geometrical Explanation....","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3119594/3879cc6c55e6b8b0d357b3a03665254f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/xEdQHgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIaf-C4Ai7QY","linkTemplate":"/video/preview/170475331497610872?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Differential Equations | Lecture No. 05 | Mathematics Lectures","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Iaf-C4Ai7QY\",\"src\":\"serp\",\"rvb\":\"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_E4kKggQkAYAEKyqLARABGniB9v70AfwEAPv8_w8BCPwCBAAAAvj__gD_-vj9BgT-AOr5AwYI_wAABQz_BQMAAAAH7wML_f0BAAwG9QMDAAAADAcGA_0AAAAWBvb6_gEAAPXy_wED_wAADP79AQAAAAD1BPD9AAAAAPUMBQUAAAAADPr5-wAAAAAgAC1QGeE7OBNACUhOUAIqhAIQABrwAX8N-QHP-9H_8C_WAMgL-v-qLCP_F0f5AM4QA__OA_sB-fncAO_c0_-9_PMAvAcB___g3AAd9hgAJ-zx_wrP_QDvEQ0BAsoe_0ECFv_-Ben__gsi_gn7CwAD69wA6PLa__v8EgAH4-_-Cuu7CA7-PAENCCoDCuUW_gHmHv30JxYECvHYAO0D_gQj6fz84vYuBw_r4wHw-uf73EHwAAkL5wba6wkBAA72BTYh_AL0FRbzxvsDAREB3wEH6CgH5C_z_d_8CAbZ5gD4-gUJABvT8gT59fr9E8jmCRL88wjs5wD88PT7_dkfDvvbBQP1HR_6ByAALfWKGjs4E0AJSGFQAipzEAAaYDP7ACweIesQEUfz68n4FMHGMsgLxND_37___xbXFx8h6L3z_AAy2ynoowAAADzjFuMGABd_vaviShkBEdzb8_Qqf94s78ENHfetAg3p1wn-SOQLcQD8x5knNO2f--svHCAALdO6Ejs4E0AJSG9QAiqvBhAMGqAGAADYQQAACEIAAADBAADAwAAAQEAAAIA_AACIQQAAjkIAAOBAAAAAQQAAJEIAANDBAACQwgAA4EAAAPRCAACgwAAAGMIAAMjBAABUwgAAlsIAAFBBAAA0wgAAmMEAAOBAAACYQQAAIMEAADDCAADCwgAAaEIAABBBAADowQAAXEIAANbCAAAswgAAEMEAAJhBAAAEQgAA3EIAAEDCAADAwQAAIMEAAADAAAAAQQAABEIAAIZCAABcwgAAdMIAAKDBAAAEQgAAMEEAAEzCAABYQgAA6EEAACDBAACEQgAAqEEAAJLCAACowQAAoEEAAOhBAACoQQAAIMEAALDBAAAUwgAAyMEAABjCAACAQAAAgsIAAOhBAAAAwAAAwkIAAP5CAAAUwgAACEIAAOBAAADCwgAAfMIAAFDBAACYwQAAmMEAACjCAAAQQgAAgD8AADxCAAAowgAAREIAAKhBAACAwAAAVEIAAGBBAABAQAAA4EEAAIDAAAAIwgAAAMAAAADBAAAowgAAmMEAAEDBAABAwgAAAAAAAJJCAADYQQAAwMEAAADBAADAwQAAAMIAAAAAAABcwgAAiEIAACRCAABIwgAAMMEAAFzCAADAQQAAFEIAAOjBAABAQAAAgEAAAEBBAACIQQAAYMEAAJbCAAAkwgAA0EEAAMBAAACIwQAABMIAAMDBAAAUwgAAkEEAANDBAABAwAAAfEIAACDBAAAAQAAAAAAAAAxCAADAwQAA5sIAAKBBAACgwAAAmEEAAAAAAAB8QgAAgEEAAFDCAAAgQQAADMIAAMDAAAAAwQAACMIAAAhCAAAgQQAAIEEAAIA_AAB4wgAAbMIAAFDBAADAQQAAwEAAAERCAABgQQAADMIAAPDBAABgQgAANEIAABhCAACgQAAAMEEAAIzCAABUQgAAPMIAAJBBAADwwQAAQMAAAIDBAABgwQAAPEIAAPDBAABwwQAAMMEAAAhCAACAwAAAYEIAABDBAAAowgAAQEEAAABBAAD4QQAAsMEAAHTCAADgQQAAEEIAAKDBAAAwQQAAmMIAAMjBAACAwgAAwMEgADgTQAlIdVABKo8CEAAagAIAALg9AAAsvgAAyL0AAEy-AABsPgAAyj4AAMi9AABNvwAA6L0AAIi9AADgvAAA2L0AAOA8AABkPgAAjr4AAES-AACiPgAAQLwAAEC8AAAhPwAAfz8AAOi9AADOPgAAqL0AAMi9AACovQAAHD4AAOi9AABEvgAAuj4AAMo-AADgvAAAyL0AABA9AADgvAAAPD4AAOC8AADovQAADb8AAJ6-AACSvgAAqL0AADw-AABUvgAADL4AAFC9AAAcPgAARL4AAK6-AADSvgAAtr4AAJ6-AAC6PgAAmj4AACS-AACIvQAAbT8AANi9AADYvQAALD4AADy-AACCPgAAQDwAANi9IAA4E0AJSHxQASqPAhABGoACAACYvQAA4LwAAIA7AABFvwAAXL4AAMi9AADWPgAA4LwAACQ-AACAOwAADD4AAGy-AADgPAAAJL4AABC9AAAQPQAALD4AAPY-AAAQvQAAyj4AAOA8AACAuwAAPL4AAFC9AACAOwAAoLwAAHA9AACgPAAA4LwAAKg9AABQPQAABD4AAPi9AADovQAAcL0AAEC8AADgvAAAJD4AAHS-AAAUPgAARD4AAIi9AADIPQAAQLwAAIi9AABwPQAAf78AAPg9AAAcvgAALL4AAKg9AAAMPgAAUD0AAHC9AADgPAAAFD4AAHC9AAAMPgAAED0AANi9AACgPAAAur4AACS-AABkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Iaf-C4Ai7QY","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["170475331497610872"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1895465873774350372":{"videoId":"1895465873774350372","docid":"34-0-4-Z5A09304D5FEFBCE0","description":"This video is part of the lecture series on ETEA Mathematics Preparation. This series includes chapter wise MCQs with brief discussion and solutions. These lectures will cover both First Year...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3422135/60f3cae59eedd341293747286346d523/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ulwREwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7_HZVkrvZng","linkTemplate":"/video/preview/1895465873774350372?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"ETEA Mathematics MCQs & Discussion | Complex Numbers | First Year | Mathematics Lectures","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7_HZVkrvZng\",\"src\":\"serp\",\"rvb\":\"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-QT7_AQA-wMDDgoI-wIGAvP19___AP__9Pv9BP4A-v0A__8AAAAEBvcBAgAAAP_u9Qj9_gAACvYAAfoAAAAQEf72_AAAAAoOAwD-AQAA8fz8AwMAAAAWBf4GAAAAAPkF_vj-AAAAAhABBwAAAAAICfsDAAAAACAALZbg3Ts4E0AJSE5QAiqEAhAAGvABfwb7_s3VxQDNM8sAoO3JAJo0Kf9AAAf_n_ofAccMEwC4A9oByNfD_9DV6gG5Ikr-4-m__xUI8f8jEOgAGf38ABAJGwA_whIBP9fMANcDCP4OCyH_5f0i_kEM2wId8v8BIhRD_xAU9v4V0eUF4PYpAxkSBwL7FRgA5vQb_tIaOAEh_PwDugIeBQkVAffnHx4B8gLu-9D80gLZWQ0AI-3Q_-ABEQH48fYOUg7g_hnT-_gYzPELAvDX-uD3JAHmG_PzBxEc-N_03_o8LfH1H9vq8-Xl-AEC7Ar6Ae3vDu8IEvQEFQL_2AMg-wIC_QDzBPUAIAAtLKoCOzgTQAlIYVACKnMQABpgF_cAQP8h8foWGgm72t8L1N4kxPeo7P_yzv8QHuL4ByW20PgcAAfCAeWkAAAAIvX3CQsA-36_27tAGfvzoMDRKTl_8xcM1An5AME2JuXVNCpC2B4wAPjPlw8iKLsvCDgwIAAtNwEXOzgTQAlIb1ACKq8GEAwaoAYAACBBAADoQQAAIMEAAHDBAAAAwQAAgEEAAERCAABAQgAAwMAAAOBAAABoQgAAOMIAAMDCAAAAwgAALEIAAEDCAACQwQAAgsIAADDBAAAwwQAAHEIAAKTCAACAPwAAwMEAABxCAACIwQAAvMIAACjCAABwQQAAEMEAADBBAABAQAAAxsIAABBCAACGwgAAwEAAAOBAAACcQgAAMMEAAEBAAAAAAAAAAEIAACBCAABMQgAAMEIAALDCAABwwQAAwMEAAHhCAACYwQAAEMEAABDBAAAAQgAAAEEAAIhCAADYQQAA-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_AABUvgAAoLwAAIg9AABUvgAA-D0AALI-AACSvgAAbL4AABQ-AADIPQAAuD0AACE_AAB_PwAABL4AAHQ-AABAPAAAoLwAADy-AAAsPgAAUD0AALg9AABEPgAAij4AAAS-AABAvAAAgj4AAKC8AABEPgAAqD0AAHy-AADSvgAAbL4AANi9AAAsPgAAJD4AAHy-AAAUvgAAPL4AAI4-AABUvgAA2L0AAAW_AACAOwAA2D0AAJ4-AADGPgAAFL4AAJi9AABZPwAAjj4AAJi9AAD4PQAAHL4AACw-AAAUPgAANL4gADgTQAlIfFABKo8CEAEagAIAAEy-AADgPAAAgDsAACG_AACYvQAAoLwAAAQ-AACAuwAA6D0AAJi9AACgvAAALL4AAIg9AAB8vgAAMD0AAIg9AADIPQAAFT8AAIi9AACOPgAAMD0AAIi9AAAQvQAAHL4AAIg9AADoPQAAyL0AAOA8AAAMvgAAQLwAADA9AAAsPgAAML0AADC9AAD4PQAAEL0AAJg9AABkPgAAbL4AAEA8AABcPgAAFL4AABA9AACIvQAAML0AAPi9AAB_vwAAMD0AAAy-AACIvQAAfD4AALi9AACYvQAAED0AAAw-AACYPQAAML0AAOA8AACYvQAAmD0AAKC8AACivgAAuL0AACw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7_HZVkrvZng","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1895465873774350372"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16458669832874653469":{"videoId":"16458669832874653469","docid":"34-1-11-Z60B1101DBD561385","description":"Question 3 Exercise 1.3 Class 10 Mathematics Lectures FH Question 3 Exercise 1.3 Class 10 Mathematics Lectures FH || Mathematics Lectures FH In this video there is complete solution of Question 3...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4447900/bca6d5b6520b7e3824837b5aed8f8fb3/564x318_1"},"target":"_self","position":"15","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DeTiR69gN-Hk","linkTemplate":"/video/preview/16458669832874653469?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Question 3 Exercise 1.3 Class 10 Mathematics Lectures FH","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eTiR69gN-Hk\",\"src\":\"serp\",\"rvb\":\"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_E40DggQkAYAEKyqLARABGniBA_369Qb6APT-Cw0CB_wCFwPw-vQCAgD0APTzAwL_AAn3BAEJAQAA-hHv_wQAAAD28f0K9_8BAAb29A4CAAAAGgT8C_8AAAAZB_T5_gEAAOTp_gADAAAAFQQB_f8AAAD8BQ7uAAAAAPoUCw4AAAAAE_7sAwEAAAAgAC16F8Q7OBNACUhOUAIqcxAAGmD99wAzGxT3wCw98sO77DTis_i3Itbz__Te_xYG6-P8DNOu8PX_J5H6_psAAAAp_eX6HgD9f8rz-TMd8R3EAg_qJXa2Jr32Fw4m0ykt2wRKEuvJ_mEAnNrnIOrVqCsEUBAgAC05uxI7OBNACUhvUAIqrwYQDBqgBgAACEIAABjCAACoQgAAosIAACzCAACYwQAAdEIAAODBAAAswgAAgD8AAEBBAACYQQAAmMEAALDBAAAQwQAAwEAAABhCAABEwgAA8EEAAHTCAAA4wgAAsMEAAIrCAACKQgAAqEEAABjCAADwwQAA8MEAACxCAABUQgAA4MAAAPBBAAC4wQAA0EEAALLCAAAAwAAAoEAAAKhBAAAsQgAAoEEAAEDCAACAPwAAgMEAAODBAABAQQAA-MEAAABBAACYwQAADEIAAKBAAACAwAAAUMEAABzCAADgQQAANEIAAKBAAACQwgAA8EEAACRCAADQQQAAiEEAAKBAAACMwgAAIMIAAIA_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-AACqPgAAyD0AAJo-AABQvQAAW78AAEC8AADovQAAZL4AAMi9AADgPAAArj4AAHA9AAAcvgAARD4AAJg9AADYvQAAFT8AAH8_AACAuwAATD4AAEC8AAAkPgAAlr4AACQ-AAB8vgAAPD4AALY-AABUPgAAED0AAFC9AABAPAAAmL0AABA9AAC4vQAAHL4AAM6-AAAkvgAATL4AAAQ-AABkPgAAFL4AAHy-AAC4vQAAgj4AAOi9AAAcvgAAVL4AALi9AADYPQAA4DwAACQ-AAAUvgAAQLwAAH8_AAAMvgAABD4AACw-AABAPAAARD4AAGQ-AAAUviAAOBNACUh8UAEqjwIQARqAAgAALL4AAIi9AACgvAAALb8AADA9AACAOwAAXD4AAKC8AADgPAAAQDwAALg9AAAEvgAAQDwAAI6-AABwPQAAMD0AADA9AAAnPwAABL4AAJI-AABQvQAAQDwAAIi9AACovQAA4DwAABA9AACgvAAAgLsAAFA9AACgvAAAED0AAPg9AAD4vQAAir4AADA9AAAQPQAAuL0AADA9AABkvgAA-D0AAMg9AAAsvgAAgLsAADC9AADYvQAAiL0AAH-_AACYvQAAcL0AABS-AADIPQAA-L0AANi9AADYvQAAfD4AAFA9AACgvAAAiD0AANi9AABwPQAAEL0AAJ6-AABAPAAA2D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=eTiR69gN-Hk","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16458669832874653469"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6071856521966154383":{"videoId":"6071856521966154383","docid":"34-5-5-ZF0E3629C7039F071","description":"This lecture is part of the lecture series on Differential Equations. This lecture covers the following topics: Existence and Uniqueness of Solution Existence Theorem Uniqueness Theorem Picard's...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3487963/fe33e48bdab8425b231ab63af14c7152/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HQ8MHAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dg5RbIN2twSI","linkTemplate":"/video/preview/6071856521966154383?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Differential Equations | Lecture No. 06 | Mathematics Lectures","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=g5RbIN2twSI\",\"src\":\"serp\",\"rvb\":\"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--gYA-_z_DwEI_AIEAAAC-f_-AP_6-P0GBP4A6vkDBgj_AAAFC_8FAwAAAAH3AQT2_QEADAb2AwMAAAAMBwYD_QAAABYG9vr-AQAA9fL_AQP_AAAM_v4BAAAAAP0G-PoCAAAA9QwFBQAAAAAL-vn7AAAAACAALVpU5Ds4E0AJSE5QAiqEAhAAGvABcQsA_aHw5v34INwA5g_QAZb1Lv9WOP8AwAIRANTv6gHe9fEA8NvuAYHyBgSrFer_udjV_krqFwEaAOL_-tz5AAAPEAEf6SYCSu_oAPgT8v8FHRr-Cw4g_yT18QP618f-DPkkAQL59gjMFqb77e5QAzgALgH6AQgB7Awf_Q8yDvoR_O4E1QMfBQPP_vjz3i8EH_7f-_II0ADxWOIICg3jB8fe_wEAEfMGUg7g_vEZGvDT9v4HFAHYAeYoIf4kIwP02gTs--PO9Pb29wPyKPPj-w7sBwkJ1AkWBQPlE_bdE_v25AL_3hcL8dQGBPIn_wsJIAAtCKMBOzgTQAlIYVACKnMQABpgOfsAMA4q7QEdVQnmx-sPz88svBHB4__nvf8UF-IKGxHosPQGACXUJOieAAAAO-gI9fgAFX3Fo-Y6EgEP2Nn49h9_4x7_shES5LfxF-rLA_k92BNiAAi9nR419JL83SUeIAAtY-ITOzgTQAlIb1ACKq8GEAwaoAYAAKBBAABAQQAAgMAAACDBAAAAwAAAAMAAAJhBAABgQgAAUEEAAJBBAABYQgAAFMIAAGTCAABQwQAA3EIAAIC_AAC4wQAAQMEAAETCAACCwgAA-EEAACzCAACAwAAAQMEAAEBAAACgQAAA4MEAAMLCAACkQgAAgD8AAKDBAACOQgAAusIAABzCAAAwQQAAEEEAAKhBAAD2QgAAMMIAACDBAACIwQAAgD8AAABBAAA8QgAAQEIAACjCAAA4wgAAgMEAALhBAAAwQQAAYMIAAOBBAADAQQAAgL8AAKZCAAC4QQAAYMIAAPjBAACoQQAAcEEAAIBBAAAAwAAAsMEAAMjBAAA4wgAA0MEAADBBAACAwgAAGEIAAOBAAADKQgAA_kIAACDCAAAwQQAAoEAAAKTCAACkwgAAAAAAANjBAAAYwgAAaMIAAGxCAAAAwAAAVEIAAODBAABIQgAA8EEAAIDAAABoQgAAqEEAAODAAADYQQAAYMEAALDBAABAQQAAgMAAABzCAABgwQAAMMEAADzCAAC4QQAAiEIAANBBAACIwQAA-MEAAEBBAAAgwQAAMEEAABTCAAB8QgAASEIAAIrCAAAAQAAAPMIAACBCAADoQQAACMIAAMBBAAAQQQAAgD8AAABCAAAMwgAAlMIAACTCAADQQQAAgMEAANjBAAAswgAAkMEAADTCAADgQAAAUMEAAHDBAACEQgAAgMEAAJhBAABgQQAA-EEAALDBAADOwgAA4EEAAADCAAAgwQAAgEAAACRCAACQQQAAfMIAACRCAAAcwgAAAEAAABDBAADQwQAABEIAAOBAAACQQQAA4EAAAI7CAABswgAA-EEAANhBAACAQQAAVEIAAKBBAACgwQAAGMIAAIxCAAAMQgAA4EEAAMDAAABwQQAAaMIAAAhCAAAQwgAAmEEAAPDBAAAAwAAAAMEAAEBAAAAcQgAA6MEAAKjBAADgwAAAuEEAADDBAABMQgAAQMEAAFjCAADgQAAA8EEAABRCAABQwQAAcMIAAOBBAACQQgAA8MEAAKBAAAB8wgAA4EAAACDCAADgwCAAOBNACUh1UAEqjwIQABqAAgAAoDwAAJi9AABQvQAAEL0AADQ-AACuPgAA2L0AAEu_AACIvQAAcL0AABA9AAA0vgAA4DwAAL4-AAAcvgAALL4AAOY-AABQPQAAiD0AAA8_AAB_PwAATL4AAN4-AAAkvgAADL4AAES-AACYPQAADL4AANi9AACKPgAAuj4AAKi9AABQvQAARD4AAAy-AABkPgAA2L0AADy-AAAXvwAAnr4AAGy-AABwvQAAuD0AAHC9AACovQAABL4AAPg9AABUvgAAjr4AAK6-AACWvgAAZL4AAMY-AACGPgAARL4AAEC8AABrPwAAgLsAADy-AAAMPgAARL4AAGw-AACAOwAAFL4gADgTQAlIfFABKo8CEAEagAIAAJi9AADgvAAAQDwAADu_AAAkvgAAML0AAOI-AAAQvQAAJD4AAEC8AAAMPgAAgr4AAHA9AABUvgAAEL0AAFA9AABsPgAA_j4AAJi9AAC-PgAAUD0AAKA8AAAUvgAAML0AAEA8AACAuwAAED0AAKA8AAAQvQAAmD0AAHA9AAD4PQAALL4AAAy-AABwvQAAoDwAAIi9AADYPQAAbL4AACQ-AABMPgAAuL0AAAQ-AABAvAAAuL0AAAw-AAB_vwAAmD0AAFS-AAA0vgAAuD0AABQ-AABwPQAAuL0AADA9AAAMPgAAUL0AAAQ-AABAPAAA2L0AADC9AADGvgAAHL4AAFw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=g5RbIN2twSI","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6071856521966154383"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7444140820645862929":{"videoId":"7444140820645862929","docid":"34-6-13-Z9826481FCE65EB7F","description":"Question 2 Exercise 3.2 Chapter 3 class First Year Mathematics || Mathematics Lectures FH In this video there is complete solution of Question no 2 of Exercise 3.2 of class First Year book of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4603775/62e78b9201c160066d7523c3cf369307/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/z7YIdgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqLnqgf7wOKw","linkTemplate":"/video/preview/7444140820645862929?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Question 2 Exercise 3.2 Chapter 3 class First Year Mathematics || Mathematics Lectures FH","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qLnqgf7wOKw\",\"src\":\"serp\",\"rvb\":\"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_5_Pv8BQD7AwMNCgj7AgsL9vj2AAAA___0-_0E_gD99gYDAgAAAPsP8f8DAAAA9_P-Cfj_AQD69e8GAAAAABMLAAH-AAAACQf09v8BAADt9wL_AwAAABIEAf3_AAAAAAQD9_z_AAD5D_0GAAAAAAoC9QEAAAAAIAAtWwbhOzgTQAlITlACKoQCEAAa8AF_9w__0NjJANLR1f_bM_0AhvoQ__w30ACnFRUBuAPfANQz3__JD_b_ANoOAMskFAAv3O8AEcH1_yvq8P8X8vAA1QjoABP5DwBhBx8ADO78_rj2Gf3z8wwAEfPqAA__4QAD1QX_DwzXAf340P020SkCHw4fAfzw8ALq4PQB3RL_--Dx7_0M__UKFvIE9qb-Hggd8ckCARcC-dDa6wMA3-X28RH_9w0p7vMY_vMD6RT-AtL97P8S0vL9AwkdA9X28_X1BRfwwuYF_jERAQAFyfYB4xLwCQrt9Agx1AkEA_T9--_uCe_PPfP-6wD3FBkD_AAgAC1O_As7OBNACUhhUAIqcxAAGmAC7QAxATL97Skb8-HK3hLSwPurLd3l__XF__zW4PT9B6PTA_UAFMoI46IAAABEEdENHAD2f7PL_0ThGgO_1-wB_Xj6Nhuy6kUR50MqBetJKOStDkEA9fSULDAFpTQfNRMgAC1FEhM7OBNACUhvUAIqjwIQABqAAgAAVL4AAIA7AABUPgAAFD4AAMg9AACePgAAoLwAAH-_AABcvgAAgDsAAIi9AABsvgAAcD0AAJ4-AAAQvQAAgr4AAKI-AACoPQAAuD0AAC0_AABdPwAAJL4AAFw-AADYvQAAgDsAAFy-AACYPQAAlr4AAII-AACCPgAAlj4AAKC8AABAPAAAQDwAAOi9AABAvAAAPL4AABA9AACWvgAADL4AAEA8AAC6PgAA6D0AAGS-AACCvgAAUL0AAII-AACyvgAAcL0AAGS-AAAUvgAAgDsAAHQ-AACWPgAAUL0AAIC7AABfPwAAUD0AACy-AAAcPgAABL4AABQ-AAAkPgAADL4gADgTQAlIfFABKo8CEAEagAIAAHy-AACgPAAA4LwAADW_AAAUvgAA2L0AAJY-AAAQPQAADD4AAKi9AABwPQAAJL4AAFC9AABcvgAAoLwAANg9AADgPAAAFz8AADC9AACePgAAmD0AAKC8AAAUvgAAHL4AAHC9AACAOwAA4LwAAHA9AACIvQAAEL0AAHA9AAAkPgAAmL0AADy-AACoPQAA4LwAAFA9AAC4PQAAgr4AANg9AABcPgAATL4AAEC8AACIvQAAcL0AAEA8AAB_vwAAuL0AANi9AABsvgAAPD4AAIA7AAD4vQAAcL0AAJY-AAAMPgAAcL0AANg9AABwPQAAMD0AAKC8AADavgAATL4AAEw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=qLnqgf7wOKw","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["7444140820645862929"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16249087360494244443":{"videoId":"16249087360494244443","docid":"34-0-3-Z608CD23FB78B70ED","description":"Question 11 Exercise 1.3 Unit 1 Class 10 Mathematics Lectures FH Question 11 Exercise 1.3 Class 10 Mathematics Lectures FH Question 11 Exercise 1.3 Class 10 Mathematics Lectures FH || Mathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/759947/d448794fbb827ced28ea25f6c63aa878/564x318_1"},"target":"_self","position":"18","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWXE9L4QIaaM","linkTemplate":"/video/preview/16249087360494244443?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Question 11 Exercise 1.3 Unit 1 Class 10 Mathematics Lectures FH","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WXE9L4QIaaM\",\"src\":\"serp\",\"rvb\":\"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_E4UFggQkAYAEKyqLARABGniB_wQAAQT7APQCBAYIBf0BFwLx-vQCAgD1-vr8_gP_AAD-AQQIAQAA-hHv_wQAAAD65gAC_f4BAAUC6wcCAAAADAwCCwIAAAAND-4C_wEAAOTp_gADAAAAEgX2_f8AAAAN_v7vAP__AAMSAQgAAAAAC_Lu-wEAAAAgAC2aXMY7OBNACUhOUAIqcxAAGmDx8gAlBgoDyS1E9ci86i7hqRKzIt7v_-77_xEA8-v2Fder__j_MpL2_50AAAAxBfEDJgD8fsX08zwZBCbZ8wLjIH-rG7f8BQ8TvzAavRdEHfPNFVkAo-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-AAAUPgAAuD0AAGQ-AAAwvQAAVb8AAEA8AADgvAAAXL4AALi9AADYvQAA0j4AAKi9AACovQAAfD4AADA9AABAvAAAKz8AAH0_AACoPQAAJD4AAIg9AAA0PgAAVL4AAI4-AABMvgAALD4AALo-AAAMPgAAML0AAKA8AABAvAAAgLsAADA9AAAQvQAADL4AAMa-AAB8vgAAkr4AAEC8AAB8PgAAmL0AAIK-AACYvQAAnj4AAOC8AAAEvgAARL4AAOA8AACAuwAAyD0AAJ4-AAAMvgAAEL0AAH8_AACAOwAAoDwAADA9AACoPQAAtj4AAGw-AAAkviAAOBNACUh8UAEqjwIQARqAAgAA-L0AAJi9AABQvQAAKb8AAOg9AAAQPQAAbD4AAKC8AACgvAAAgLsAAHA9AADYvQAA4LwAAI6-AADIPQAAgLsAAIA7AAAlPwAA2L0AAKY-AADIvQAAiL0AAFC9AACovQAAUD0AAIC7AACgvAAAML0AAAQ-AAAQvQAAQDwAALg9AAAMvgAAXL4AADA9AABAvAAAiL0AAOA8AABMvgAA-D0AALg9AADovQAAiD0AAEC8AAAcvgAA4LwAAH-_AADovQAA4LwAAHC9AACgPAAA6L0AAFC9AADovQAAPD4AAKA8AACAuwAAQLwAAOi9AACoPQAAML0AAFy-AACAOwAAiD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=WXE9L4QIaaM","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16249087360494244443"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4828116304099781206":{"videoId":"4828116304099781206","docid":"34-3-16-Z422CC684BAAB1802","description":"This lecture is part of the lecture series on Differential Equations. This lecture covers the following topics: Higher Order Linear Differential Equations Uniqueness Theorem Linear Combination of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/937585/b85ed8a694a61c3599de3f054395d544/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wHMjIQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2WLlRDjA2Sk","linkTemplate":"/video/preview/4828116304099781206?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Higher Order Differential Equations | Lecture No. 07 | Mathematics Lectures","related_orig_text":"Mathematics Lectures","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematics Lectures\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2WLlRDjA2Sk\",\"src\":\"serp\",\"rvb\":\"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_gIA-_z_DwEJ-wIIAwkJ-P__APL7_fwHAQAA8vT_AQIAAAAEEgH-_wAAAAjuAwv9_QEADQD9A_sAAAAWDgj-9QAAABAR-vn-AQAA9PL_AQP_AAAFAv0EAAAAAPwG-Pz5_gAB9g7-EgAAAAAMBP37AAAAACAALVog2Ds4E0AJSE5QAiqEAhAAGvABaQAZAMYJ4AD6CvAAxxbg_4EiCv4cJOIAyBEiAbj09gAJ_eMA4tHu_-3u_QG-GAgAEODRAA3vIwA2_QT_MOMHAQANDQAC5AP_QAIV_97_9v_dDhr_Ff3_APz06QHuA-H_CvMS-vvx6AYK7L0ICR0xAwwIKQMY6Qf_5N4S_QAxCQMNBOL9-RAD_APX__ri9i0HC_3ZAAAD-vjcKvUCBhv7BdTJ9v8O-fkGOA7-CwAH9frL5_4F9fL0BgQHKv_fI-b-5tQR_NPXBAP__xX7Q8IE_QEFAwoP3AcDDv7-_AzxAO746QEAxAv6BtwFA_X3_wT4IAAt_yEdOzgTQAlIYVACKnMQABpgM_cAIwAq4gkTSeXlt-D70N0w0wTG7__wqv_7EeIVLTHprfr7AEjaKP-gAAAANuUU2gsA_X_Gr-dGCxgQ39zW-TZ35yEYvAERBr_rJRDOBvxF9xhsAObVnAxH3ZgC-SkYIAAthAMTOzgTQAlIb1ACKq8GEAwaoAYAAMhBAABAQQAAMMEAAADAAABgwQAAgEAAAMhBAABkQgAAwEEAALhBAAA0QgAAGMIAAIjCAACAwAAA7EIAAIDAAACQwQAAoMEAAFzCAACIwgAA4EEAAGDCAACQwQAAgMAAAEDAAADgQAAADMIAALrCAACeQgAAoEAAADDBAAB4QgAA0MIAABDCAABAwAAAcEEAAAhCAADyQgAAIMIAAJjBAACwwQAAoMAAAFBBAAAcQgAAYEIAAETCAABAwgAAEMEAAIhBAACoQQAAaMIAAARCAAAMQgAAQEAAAJRCAADYQQAAUMIAABDCAADYQQAAYEEAAIBBAAAQwQAAAMIAAKDBAABAwgAAgMEAAABBAAB0wgAACEIAAABBAAC6QgAA_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_AAAcvgAAqL0AAOi9AAAkvgAAEL0AALo-AACavgAAhr4AAJ4-AACgvAAAyD0AACM_AAB_PwAAFL4AAAE_AABAvAAARL4AAMi9AABAPAAAqD0AAIi9AACOPgAAkj4AAEC8AADgPAAA6D0AADA9AADgPAAAyD0AAJa-AAADvwAAir4AAFC9AADgPAAAyD0AAHy-AABMvgAAUD0AAPg9AADovQAAkr4AAN6-AABkvgAAPL4AAIo-AADOPgAAoDwAAIC7AABZPwAAoLwAALi9AAA0PgAAor4AAIY-AADgPAAAoLwgADgTQAlIfFABKo8CEAEagAIAAAS-AACgPAAAUD0AAEO_AAAcvgAA6L0AAJo-AACYvQAA-D0AAJg9AACYPQAALL4AABA9AAAEvgAAcL0AAKA8AAAcPgAAAz8AAEC8AADOPgAAUD0AADC9AAAkvgAAcL0AAOC8AACAOwAAED0AAIA7AABAPAAAHD4AAEA8AADoPQAAmL0AADS-AADovQAAUD0AABC9AACYPQAANL4AAOg9AABwPQAA-L0AANg9AACgvAAAML0AAPg9AAB_vwAAmD0AAFS-AADIvQAAyD0AAKg9AACYPQAAoLwAALi9AADoPQAAUL0AAIg9AACoPQAAUL0AAEA8AADGvgAA6L0AAFw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=2WLlRDjA2Sk","parent-reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["4828116304099781206"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"17208030790345047139":{"videoId":"17208030790345047139","title":"Metric Spaces - \u0007[Lectures\u0007] 1 & 2: Oxford \u0007[Mathematics\u0007] 2nd Year Student \u0007[Lecture\u0007]","cleanTitle":"Metric Spaces - Lectures 1 & 2: Oxford Mathematics 2nd Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=yvaFeNLZ9s8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/yvaFeNLZ9s8?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1536,"text":"25:36","a11yText":"Süre 25 dakika 36 saniye","shortText":"25 dk."},"views":{"text":"47,8bin","a11yText":"47,8 bin izleme"},"date":"12 ara 2020","modifyTime":1607731200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/yvaFeNLZ9s8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=yvaFeNLZ9s8","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":1536},"parentClipId":"17208030790345047139","href":"/preview/17208030790345047139?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/17208030790345047139?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6091131765063575658":{"videoId":"6091131765063575658","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 8 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 8 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=mwd8CQjl2-w","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mwd8CQjl2-w?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"https://www.youtube.com/channel/UCLnGGRG__uGSPLBLzyhg8dQ","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2231,"text":"37:11","a11yText":"Süre 37 dakika 11 saniye","shortText":"37 dk."},"views":{"text":"11,9bin","a11yText":"11,9 bin izleme"},"date":"12 oca 2023","modifyTime":1673537634000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mwd8CQjl2-w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mwd8CQjl2-w","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2231},"parentClipId":"6091131765063575658","href":"/preview/6091131765063575658?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/6091131765063575658?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1173696496112409323":{"videoId":"1173696496112409323","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 7 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 7 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=53vfipKsnFk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/53vfipKsnFk?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"https://www.youtube.com/channel/UCLnGGRG__uGSPLBLzyhg8dQ","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2792,"text":"46:32","a11yText":"Süre 46 dakika 32 saniye","shortText":"46 dk."},"views":{"text":"10,4bin","a11yText":"10,4 bin izleme"},"date":"6 oca 2023","modifyTime":1673010248000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/53vfipKsnFk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=53vfipKsnFk","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2792},"parentClipId":"1173696496112409323","href":"/preview/1173696496112409323?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/1173696496112409323?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2931697822127647736":{"videoId":"2931697822127647736","title":"Metric Spaces - \u0007[Lectures\u0007] 9 & 10: Oxford \u0007[Mathematics\u0007] 2nd Year Student \u0007[Lecture\u0007]","cleanTitle":"Metric Spaces - Lectures 9 & 10: Oxford Mathematics 2nd Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Y36y3w7A0L4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Y36y3w7A0L4?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1588,"text":"26:28","a11yText":"Süre 26 dakika 28 saniye","shortText":"26 dk."},"views":{"text":"6,2bin","a11yText":"6,2 bin izleme"},"date":"31 ara 2020","modifyTime":1609372800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Y36y3w7A0L4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Y36y3w7A0L4","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":1588},"parentClipId":"2931697822127647736","href":"/preview/2931697822127647736?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/2931697822127647736?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5260443680608247741":{"videoId":"5260443680608247741","title":"Geometry - Scalar Triple Product: Oxford \u0007[Mathematics\u0007] 1st Year Student \u0007[Lecture\u0007]","cleanTitle":"Geometry - Scalar Triple Product: Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=t8EmnCmdFkE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/t8EmnCmdFkE?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1476,"text":"24:36","a11yText":"Süre 24 dakika 36 saniye","shortText":"24 dk."},"views":{"text":"29,9bin","a11yText":"29,9 bin izleme"},"date":"9 kas 2020","modifyTime":1604880000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/t8EmnCmdFkE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=t8EmnCmdFkE","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":1476},"parentClipId":"5260443680608247741","href":"/preview/5260443680608247741?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/5260443680608247741?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5817383490438379136":{"videoId":"5817383490438379136","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 4 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 4 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=g6mM570_u70","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/g6mM570_u70?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2943,"text":"49:03","a11yText":"Süre 49 dakika 3 saniye","shortText":"49 dk."},"views":{"text":"14,2bin","a11yText":"14,2 bin izleme"},"date":"14 kas 2022","modifyTime":1668376690000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/g6mM570_u70?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=g6mM570_u70","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2943},"parentClipId":"5817383490438379136","href":"/preview/5817383490438379136?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/5817383490438379136?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"357215032207485492":{"videoId":"357215032207485492","title":"Introduction to University Mathematics Lecture 1 - Oxford Mathematics 1st Year Student Lecture — Вид...","cleanTitle":"Introduction to University Mathematics Lecture 1 - Oxford Mathematics 1st Year Student Lecture — Видео от Oxford Mathematics","host":{"title":"VK Video","href":"http://vk.com/video-220480927_456239142","playerUri":"\u003ciframe src=\"//vk.com/video_ext.php?hash=04cfdbc9196c6416&id=456239142&loop=0&oid=-220480927\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"vk","providerName":"vk.com","sourceHost":"vk.com","name":"vk.com","secondPart":{"type":"CHANNEL","isVerified":false,"subscribersCount":0,"a11yText":""},"faviconUrl":"//favicon.yandex.net/favicon/v2/https%3A%2F%2Fvk.com%2Fvideo?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2867,"text":"47:47","a11yText":"Süre 47 dakika 47 saniye","shortText":"47 dk."},"date":"8 haz 2023","modifyTime":1686257349000,"isExternal":false,"player":{"embedUrl":"https://vk.com/video_ext.php?autoplay=1&hash=04cfdbc9196c6416&id=456239142&loop=0&oid=-220480927","playerId":"vk","videoUrl":"http://vk.com/video-220480927_456239142","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2867},"parentClipId":"16015526214547870150","href":"/preview/357215032207485492?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/357215032207485492?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16015526214547870150":{"videoId":"16015526214547870150","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 1 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 1 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=aS6R3epK3ms","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/aS6R3epK3ms?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2867,"text":"47:47","a11yText":"Süre 47 dakika 47 saniye","shortText":"47 dk."},"views":{"text":"192,2bin","a11yText":"192,2 bin izleme"},"date":"19 eki 2022","modifyTime":1666201562000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/aS6R3epK3ms?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=aS6R3epK3ms","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2867},"parentClipId":"16015526214547870150","href":"/preview/16015526214547870150?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/16015526214547870150?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11876053637352378683":{"videoId":"11876053637352378683","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 3 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 3 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=nYM0gaPU-8g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/nYM0gaPU-8g?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3169,"text":"52:49","a11yText":"Süre 52 dakika 49 saniye","shortText":"52 dk."},"views":{"text":"21,8bin","a11yText":"21,8 bin izleme"},"date":"6 kas 2022","modifyTime":1667767017000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/nYM0gaPU-8g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=nYM0gaPU-8g","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":3169},"parentClipId":"11876053637352378683","href":"/preview/11876053637352378683?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/11876053637352378683?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16736096137824298194":{"videoId":"16736096137824298194","title":"Metric Spaces - \u0007[Lectures\u0007] 11 & 12: Oxford \u0007[Mathematics\u0007] 2nd Year Student \u0007[Lecture\u0007]","cleanTitle":"Metric Spaces - Lectures 11 & 12: Oxford Mathematics 2nd Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_wqGTXZuvJw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_wqGTXZuvJw?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2169,"text":"36:09","a11yText":"Süre 36 dakika 9 saniye","shortText":"36 dk."},"views":{"text":"5,5bin","a11yText":"5,5 bin izleme"},"date":"5 oca 2021","modifyTime":1609846580000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_wqGTXZuvJw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_wqGTXZuvJw","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2169},"parentClipId":"16736096137824298194","href":"/preview/16736096137824298194?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/16736096137824298194?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13548170341482032648":{"videoId":"13548170341482032648","title":"Introduction to University Mathematics Lecture 5 - Oxford Mathematics 1st Year Student Lecture — Вид...","cleanTitle":"Introduction to University Mathematics Lecture 5 - Oxford Mathematics 1st Year Student Lecture — Видео от Oxford Mathematics","host":{"title":"VK Video","href":"http://vk.com/video-220480927_456239147","playerUri":"\u003ciframe src=\"//vk.com/video_ext.php?hash=8f288fdbcfd9fdf1&id=456239147&loop=0&oid=-220480927\" frameborder=\"0\" scrolling=\"no\" allowfullscreen=\"1\" allow=\"autoplay; fullscreen; accelerometer; gyroscope; picture-in-picture\" aria-label=\"Video\">\u003c/iframe>","playerId":"vk","providerName":"vk.com","sourceHost":"vk.com","name":"vk.com","secondPart":{"type":"CHANNEL","isVerified":false,"subscribersCount":0,"a11yText":""},"faviconUrl":"//favicon.yandex.net/favicon/v2/https%3A%2F%2Fvk.com%2Fvideo?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3195,"text":"53:15","a11yText":"Süre 53 dakika 15 saniye","shortText":"53 dk."},"date":"8 haz 2023","modifyTime":1686257403000,"isExternal":false,"player":{"embedUrl":"https://vk.com/video_ext.php?autoplay=1&hash=8f288fdbcfd9fdf1&id=456239147&loop=0&oid=-220480927","playerId":"vk","videoUrl":"http://vk.com/video-220480927_456239147","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":3195},"parentClipId":"1438784787495362129","href":"/preview/13548170341482032648?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/13548170341482032648?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1438784787495362129":{"videoId":"1438784787495362129","title":"Introduction to University \u0007[Mathematics\u0007]: \u0007[Lecture\u0007] 5 - Oxford \u0007[Mathematics\u0007] 1st Year Student ...","cleanTitle":"Introduction to University Mathematics: Lecture 5 - Oxford Mathematics 1st Year Student Lecture","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3uwPxQY2CQA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3uwPxQY2CQA?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":"d3d3LnlvdXR1YmUuY29tO1VDTG5HR1JHX191R1NQTEJMenloZzhkUQ==","name":"Oxford Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oxford+Mathematics","origUrl":"http://www.youtube.com/@OxfordMathematics","a11yText":"Oxford Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3195,"text":"53:15","a11yText":"Süre 53 dakika 15 saniye","shortText":"53 dk."},"views":{"text":"13,4bin","a11yText":"13,4 bin izleme"},"date":"27 kas 2022","modifyTime":1669574394000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3uwPxQY2CQA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3uwPxQY2CQA","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":3195},"parentClipId":"1438784787495362129","href":"/preview/1438784787495362129?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/1438784787495362129?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17295510668404681982":{"videoId":"17295510668404681982","title":"Professional \u0007[Mathematics\u0007] \u0007[lectures\u0007]","cleanTitle":"Professional Mathematics lectures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=P05e8S1SfIA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/P05e8S1SfIA?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":"d3d3LnlvdXR1YmUuY29tO1VDQ0JNNTRvbmVRc3RRdDM0cnlvOF82QQ==","name":"SindhEdu","isVerified":false,"subscribersCount":0,"url":"/video/search?text=SindhEdu","origUrl":"http://www.youtube.com/@SindhEdu","a11yText":"SindhEdu. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":95,"text":"1:35","a11yText":"Süre 1 dakika 35 saniye","shortText":"1 dk."},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"22 ara 2020","modifyTime":1608595200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/P05e8S1SfIA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=P05e8S1SfIA","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":95},"parentClipId":"17295510668404681982","href":"/preview/17295510668404681982?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/17295510668404681982?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"170475331497610872":{"videoId":"170475331497610872","title":"Differential Equations | \u0007[Lecture\u0007] No. 05 | \u0007[Mathematics\u0007] \u0007[Lectures\u0007]","cleanTitle":"Differential Equations | Lecture No. 05 | Mathematics Lectures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Iaf-C4Ai7QY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Iaf-C4Ai7QY?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":"d3d3LnlvdXR1YmUuY29tO1VDcG01dDVvSUxlUmZVbmZFU2RHN1Nodw==","name":"Mathematics Lectures","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures","origUrl":"http://www.youtube.com/@mathematicslectures1435","a11yText":"Mathematics Lectures. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1289,"text":"21:29","a11yText":"Süre 21 dakika 29 saniye","shortText":"21 dk."},"date":"24 nis 2020","modifyTime":1587686400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Iaf-C4Ai7QY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Iaf-C4Ai7QY","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":1289},"parentClipId":"170475331497610872","href":"/preview/170475331497610872?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/170475331497610872?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1895465873774350372":{"videoId":"1895465873774350372","title":"ETEA \u0007[Mathematics\u0007] MCQs & Discussion | Complex Numbers | First Year | \u0007[Mathematics\u0007] \u0007[Lectures\u0007]","cleanTitle":"ETEA Mathematics MCQs & Discussion | Complex Numbers | First Year | Mathematics Lectures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7_HZVkrvZng","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7_HZVkrvZng?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":"d3d3LnlvdXR1YmUuY29tO1VDcG01dDVvSUxlUmZVbmZFU2RHN1Nodw==","name":"Mathematics Lectures","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures","origUrl":"http://www.youtube.com/@mathematicslectures1435","a11yText":"Mathematics Lectures. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1454,"text":"24:14","a11yText":"Süre 24 dakika 14 saniye","shortText":"24 dk."},"views":{"text":"8,7bin","a11yText":"8,7 bin izleme"},"date":"19 nis 2020","modifyTime":1587254400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7_HZVkrvZng?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7_HZVkrvZng","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":1454},"parentClipId":"1895465873774350372","href":"/preview/1895465873774350372?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/1895465873774350372?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16458669832874653469":{"videoId":"16458669832874653469","title":"Question 3 Exercise 1.3 Class 10 \u0007[Mathematics\u0007] \u0007[Lectures\u0007] FH","cleanTitle":"Question 3 Exercise 1.3 Class 10 Mathematics Lectures FH","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eTiR69gN-Hk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eTiR69gN-Hk?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":"d3d3LnlvdXR1YmUuY29tO1VDMVNJdlAyUGxQcDZPdnRfSU5nZW9Zdw==","name":"Mathematics Lectures FH","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures+FH","origUrl":"http://www.youtube.com/@mathematicslecturesfh","a11yText":"Mathematics Lectures FH. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":397,"text":"6:37","a11yText":"Süre 6 dakika 37 saniye","shortText":"6 dk."},"date":"26 mar 2024","modifyTime":1711411200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/eTiR69gN-Hk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eTiR69gN-Hk","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":397},"parentClipId":"16458669832874653469","href":"/preview/16458669832874653469?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/16458669832874653469?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6071856521966154383":{"videoId":"6071856521966154383","title":"Differential Equations | \u0007[Lecture\u0007] No. 06 | \u0007[Mathematics\u0007] \u0007[Lectures\u0007]","cleanTitle":"Differential Equations | Lecture No. 06 | Mathematics Lectures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=g5RbIN2twSI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/g5RbIN2twSI?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":"d3d3LnlvdXR1YmUuY29tO1VDcG01dDVvSUxlUmZVbmZFU2RHN1Nodw==","name":"Mathematics Lectures","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures","origUrl":"http://www.youtube.com/@mathematicslectures1435","a11yText":"Mathematics Lectures. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2275,"text":"37:55","a11yText":"Süre 37 dakika 55 saniye","shortText":"37 dk."},"date":"6 mayıs 2020","modifyTime":1588723200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/g5RbIN2twSI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=g5RbIN2twSI","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2275},"parentClipId":"6071856521966154383","href":"/preview/6071856521966154383?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/6071856521966154383?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7444140820645862929":{"videoId":"7444140820645862929","title":"Question 2 Exercise 3.2 Chapter 3 class First Year \u0007[Mathematics\u0007] || \u0007[Mathematics\u0007] \u0007[Lectures\u0007] F...","cleanTitle":"Question 2 Exercise 3.2 Chapter 3 class First Year Mathematics || Mathematics Lectures FH","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qLnqgf7wOKw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qLnqgf7wOKw?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":"d3d3LnlvdXR1YmUuY29tO1VDMVNJdlAyUGxQcDZPdnRfSU5nZW9Zdw==","name":"Mathematics Lectures FH","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures+FH","origUrl":"http://www.youtube.com/@mathematicslecturesfh","a11yText":"Mathematics Lectures FH. "},"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."},"date":"15 tem 2020","modifyTime":1594771200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qLnqgf7wOKw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qLnqgf7wOKw","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":549},"parentClipId":"7444140820645862929","href":"/preview/7444140820645862929?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/7444140820645862929?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16249087360494244443":{"videoId":"16249087360494244443","title":"Question 11 Exercise 1.3 Unit 1 Class 10 \u0007[Mathematics\u0007] \u0007[Lectures\u0007] FH","cleanTitle":"Question 11 Exercise 1.3 Unit 1 Class 10 Mathematics Lectures FH","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WXE9L4QIaaM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WXE9L4QIaaM?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":"d3d3LnlvdXR1YmUuY29tO1VDMVNJdlAyUGxQcDZPdnRfSU5nZW9Zdw==","name":"Mathematics Lectures FH","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures+FH","origUrl":"http://www.youtube.com/@mathematicslecturesfh","a11yText":"Mathematics Lectures FH. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":645,"text":"10:45","a11yText":"Süre 10 dakika 45 saniye","shortText":"10 dk."},"date":"18 şub 2025","modifyTime":1739836800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WXE9L4QIaaM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WXE9L4QIaaM","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":645},"parentClipId":"16249087360494244443","href":"/preview/16249087360494244443?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/16249087360494244443?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4828116304099781206":{"videoId":"4828116304099781206","title":"Higher Order Differential Equations | \u0007[Lecture\u0007] No. 07 | \u0007[Mathematics\u0007] \u0007[Lectures\u0007]","cleanTitle":"Higher Order Differential Equations | Lecture No. 07 | Mathematics Lectures","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2WLlRDjA2Sk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2WLlRDjA2Sk?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":"d3d3LnlvdXR1YmUuY29tO1VDcG01dDVvSUxlUmZVbmZFU2RHN1Nodw==","name":"Mathematics Lectures","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematics+Lectures","origUrl":"http://www.youtube.com/@mathematicslectures1435","a11yText":"Mathematics Lectures. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2754,"text":"45:54","a11yText":"Süre 45 dakika 54 saniye","shortText":"45 dk."},"date":"10 haz 2020","modifyTime":1591747200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2WLlRDjA2Sk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2WLlRDjA2Sk","reqid":"1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL","duration":2754},"parentClipId":"4828116304099781206","href":"/preview/4828116304099781206?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","rawHref":"/video/preview/4828116304099781206?parent-reqid=1765270499940449-11227983377784136169-balancer-l7leveler-kubr-yp-sas-94-BAL&text=Mathematics+Lectures","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"1227983377784136169794","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Mathematics Lectures","queryUriEscaped":"Mathematics%20Lectures","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"}}}