{"pages":{"search":{"query":"James Cook Math","originalQuery":"James Cook Math","serpid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","parentReqid":"","serpItems":[{"id":"5034284465231227131-0-0","type":"videoSnippet","props":{"videoId":"5034284465231227131"},"curPage":0},{"id":"2914139452913381457-0-1","type":"videoSnippet","props":{"videoId":"2914139452913381457"},"curPage":0},{"id":"3647301042261852511-0-2","type":"videoSnippet","props":{"videoId":"3647301042261852511"},"curPage":0},{"id":"13687868693234920166-0-3","type":"videoSnippet","props":{"videoId":"13687868693234920166"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEphbWVzIENvb2sgTWF0aAo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","ui":"desktop","yuid":"3790658431774710307"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"5808046991098803233-0-5","type":"videoSnippet","props":{"videoId":"5808046991098803233"},"curPage":0},{"id":"16190913562724996241-0-6","type":"videoSnippet","props":{"videoId":"16190913562724996241"},"curPage":0},{"id":"5342198921336963794-0-7","type":"videoSnippet","props":{"videoId":"5342198921336963794"},"curPage":0},{"id":"12371885681040158705-0-8","type":"videoSnippet","props":{"videoId":"12371885681040158705"},"curPage":0},{"id":"13458967160652255488-0-9","type":"videoSnippet","props":{"videoId":"13458967160652255488"},"curPage":0},{"id":"12712644688445780374-0-10","type":"videoSnippet","props":{"videoId":"12712644688445780374"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEphbWVzIENvb2sgTWF0aAo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","ui":"desktop","yuid":"3790658431774710307"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"15434036134311418436-0-12","type":"videoSnippet","props":{"videoId":"15434036134311418436"},"curPage":0},{"id":"16465705679018271487-0-13","type":"videoSnippet","props":{"videoId":"16465705679018271487"},"curPage":0},{"id":"13810340986614478843-0-14","type":"videoSnippet","props":{"videoId":"13810340986614478843"},"curPage":0},{"id":"3073058286779619126-0-15","type":"videoSnippet","props":{"videoId":"3073058286779619126"},"curPage":0},{"id":"15004077513221983502-0-16","type":"videoSnippet","props":{"videoId":"15004077513221983502"},"curPage":0},{"id":"12280658376355647969-0-17","type":"videoSnippet","props":{"videoId":"12280658376355647969"},"curPage":0},{"id":"9878028430688119615-0-18","type":"videoSnippet","props":{"videoId":"9878028430688119615"},"curPage":0},{"id":"4639789165805602063-0-19","type":"videoSnippet","props":{"videoId":"4639789165805602063"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEphbWVzIENvb2sgTWF0aAo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","ui":"desktop","yuid":"3790658431774710307"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DJames%2BCook%2BMath","pages":[{"reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"6994468209528988144766","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_kebab_advanced_actions":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"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,"video_comments_smart_nonstop":1},"slots":["1519499,0,70;1500299,0,96;1518676,0,9;1152685,0,62;1519977,0,31;1519681,0,75;1523432,0,96;30276,0,97;1339938,0,67;1522413,0,84;1519857,0,4;1523262,0,69;1522712,0,30;1282205,0,72;1517337,0,41;1518109,0,38;1521340,0,38;1513371,0,88;1497900,0,99;1521359,0,90;1522708,0,73;90500,0,48;89013,0,92;1503415,0,82;40254,0,94;60,0,93;1357004,0,9;965705,0,22;1520661,0,22;1512853,0,89;1515124,0,76;1516644,0,35;151171,0,26;1281084,0,96;287509,0,50;1447467,0,2;1350547,0,9;1482975,0,79"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DJames%2BCook%2BMath","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=James+Cook+Math","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":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=James+Cook+Math","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"James Cook Math: Yandex'te 712 video bulundu","description":"Результаты поиска по запросу \"James Cook Math\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"James Cook Math — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y9bf97f6d833d517464b0ed2f4efa0eb2","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1519499,1500299,1518676,1152685,1519977,1519681,1523432,30276,1339938,1522413,1519857,1523262,1522712,1282205,1517337,1518109,1521340,1513371,1497900,1521359,1522708,90500,89013,1503415,40254,60,1357004,965705,1520661,1512853,1515124,1516644,151171,1281084,287509,1447467,1350547,1482975","queryText":"James Cook Math","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3790658431774710307","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1511916,1514845,1523309,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1774710351","tz":"America/Louisville","to_iso":"2026-03-28T11:05:51-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-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":"1519499,1500299,1518676,1152685,1519977,1519681,1523432,30276,1339938,1522413,1519857,1523262,1522712,1282205,1517337,1518109,1521340,1513371,1497900,1521359,1522708,90500,89013,1503415,40254,60,1357004,965705,1520661,1512853,1515124,1516644,151171,1281084,287509,1447467,1350547,1482975","queryText":"James Cook Math","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3790658431774710307","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":"6994468209528988144766","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":167,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":true,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":true,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"isCommentsAuthPopup":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false,"isSerialNavigatorDisabled":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3790658431774710307","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1795.0__4f54f30c0556aec0594fd8e6b260a17234f66a22","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"5034284465231227131":{"videoId":"5034284465231227131","docid":"34-1-9-ZD04B09A6A45232E8","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2992146/1b146543b3cc609e2b1a5a50edd7549c/564x318_1"},"target":"_self","position":"0","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Db-Irzbkw8Ok","linkTemplate":"/video/preview/5034284465231227131?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Number Theory: Lecture 1: Numbers and Algebra","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=b-Irzbkw8Ok\",\"src\":\"serp\",\"rvb\":\"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_E4EcggQkAYAEKyqLARABGniB9P_-BfsGAPD-AAX5A_8B9vn7_Pr-_gD8Bfr9BgT-AP0EAP0FAAAA-g8D_gYAAAAE-_wK__0BAAgG-_kEAAAADgP-__0AAAAFEwD7_gEAAPH8_AMDAAAACwT5BQAAAAD3_vbzAAAAAP8GBf0AAAAABvYA9gAAAAAgAC1PGOQ7OBNACUhOUAIqcxAAGmAg_QAs_Cs2_-EH6-f20B0N4AkVHrHu_-rYAAEW_w4MVqu-7On_HvAT9q8AAAAKKSkf5wDgZN_b1UYsHeIDx9XxBH_UIcv06PgVxPLiFw4P-xs6HkcAy-3m2SgT1y8aICIgAC2S_iw7OBNACUhvUAIqrwYQDBqgBgAAPEIAANhBAAA0QgAAbMIAAIBAAAD4QQAAtkIAAEDAAADgQAAAwEEAAEBAAAAMwgAANMIAAKDBAACgQQAAcMEAACBCAACEwgAANEIAACTCAAC2wgAALMIAALjCAADIQQAAoMEAAJjBAADIQQAAjsIAAHBBAAAsQgAAyMEAAARCAAB4wgAAYMEAANzCAABgwQAAOEIAAJRCAACAvwAAvkIAAJhBAADgwQAAUEEAAOjBAABAQQAA-MEAABDBAAA8QgAAyEEAABDBAADYwQAA2MEAAJjBAAAUQgAApkIAABBBAABgwgAA4MEAAPBBAABAQQAACEIAAAjCAAAcwgAAgMIAAHBBAACgwgAAYMEAAMTCAAAEwgAAXMIAANBBAAA8QgAAoMEAADjCAADAwAAAUMIAAGDCAAAAwAAAEEEAAHRCAABAwQAAmkIAAKDAAAC4wQAAwEAAAEhCAADwwQAAwMEAAJpCAAAAQQAAoEEAAGhCAADIwQAAgEEAALBBAADIwQAAEEEAAOjBAADAQQAA-EEAABDCAABEQgAAMEEAADDCAADwwQAAwEEAABzCAAAAQgAAiMEAACxCAAAIQgAAgD8AANjBAABAwQAAgMEAAKRCAABAQQAAlsIAAJDBAAAQwgAADMIAAKDAAACAPwAA2MEAAPDBAAAAwQAANEIAAEBBAAD4wQAADEIAADzCAABwwgAA4EAAAHxCAAC4wQAAyEEAAABBAABoQgAAkMEAAGDBAAAUQgAAqMEAAExCAABYwgAA-EEAACBCAABQwQAAQMAAAMDAAABgwQAA8MEAAKDAAAAEQgAAHEIAAEBAAADowQAAjsIAAATCAACAwQAAqMEAAKBBAACwQQAAgEEAAOBAAAAYQgAA4MEAAADBAACSQgAASEIAAHzCAABAwQAAUMEAADBBAAAQwgAA4EAAAJjBAAD4QQAANMIAALhBAAAgQQAAvsIAAHDCAABwQQAAwEAAAOBBAAAEwgAAusIAAJBBAACAQAAAoMEAAGhCAABswgAAiEEAAMBBAACAQQAAMEIAAMDBAAAIQgAAikIAABBBIAA4E0AJSHVQASqPAhAAGoACAADIPQAAtr4AAMg9AABEPgAANL4AAFw-AAC4vQAALb8AALK-AAC-PgAAhj4AAJK-AABUPgAAVD4AALq-AABwPQAAyD0AAIA7AAAEPgAABz8AAH8_AACIvQAALL4AAFQ-AAC-vgAAZL4AAK4-AAA0vgAAFD4AALg9AABMPgAAjr4AANa-AAAHPwAAfD4AAKA8AACgvAAANL4AAJq-AADovQAAyr4AABy-AADuPgAADL4AACS-AAAcvgAAiD0AAFy-AACmPgAArr4AAFC9AAAwvQAApj4AAGQ-AACGvgAALL4AAF8_AADgvAAAcL0AANg9AABsvgAAPD4AABQ-AAC4vSAAOBNACUh8UAEqjwIQARqAAgAAHL4AAHy-AADYvQAAU78AAKi9AADovQAALD4AAMi9AABQPQAAcL0AAHC9AABAPAAADL4AAFC9AACIPQAAcL0AAEy-AAAnPwAA-L0AAMo-AAAEvgAAmr4AALi9AADovQAAoLwAAAS-AACYvQAAQLwAAKo-AACAuwAA4LwAABQ-AABwvQAA-L0AAIY-AABwPQAAsj4AADw-AAAUvgAA4DwAAL4-AAAUvgAAZL4AAHA9AAA8vgAAEL0AAH-_AACIvQAAcD0AAIA7AACgPAAABL4AAOA8AAAwPQAAoDwAAOg9AACgvAAAQLwAAIg9AAAwPQAALD4AABC9AAAcvgAAUD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=b-Irzbkw8Ok","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5034284465231227131"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"2914139452913381457":{"videoId":"2914139452913381457","docid":"34-8-9-ZD4AEBB5E1F2F8B6A","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3316277/519d2578c70f07553e579798d26d3356/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/L_R3gwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBr1ARWMV7Io","linkTemplate":"/video/preview/2914139452913381457?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Br1ARWMV7Io\",\"src\":\"serp\",\"rvb\":\"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_E4YcggQkAYAEKyqLARABGniB_P8IAQABAPsDAw4KCPsCAg4G9Pf__wD0DAMG_AL_APP9_PwIAAAA_Rn8BQMAAAD4-foQ__8AAAsBAP_sAP8AHwAJ__oAAAD_CPH9_wEAAP4IAwAD_wAADf0EAP8AAAAEBf____8AAPH8-AAAAAAA_-4D-AAAAAAgAC1KxNQ7OBNACUhOUAIqhAIQABrwAX8eHgCs6M3-3d_iACX34gKZ9S3_ExjMALDvDQGv9cAB6wfnAPQR_P_8ERQAhBPsASnz6__m9vf_NxL0AEf7AQAOAiwAJPDdAEUB_ADvDgL-nOkS_vKyCv_k7u0BIhy-AP7hLQD7KQEB_uLEAPrqNAHlETkBD_vxAcXz-QXnCBn8BR7I_8wCEPoI8gf6tdTxCDX18_5FGhAA-wPdAsoCGgX44-n2Qgz2_Qgc9gjsIQH04dXwDPQW8QgYJSf-FOzx_toVEQHWxgv2H_rpBhW_GvLzAOgDCNQJFg7Y-Acb8-kD69kA9cIZ8PPl9-0CDOr19CAALWpNBDs4E0AJSGFQAirPBxAAGsAHjPb4vl4CJjzxDeq8shmbPYLjsrwYMzO9obfRuPCnRjxLKDO8pg7yPZX0MLxkyWe6jbUPvqdDgjzll4M7xVWFPlQwb72bfyq82UNLvkOSdjspf4K9TMQ7voKcRbtWMte65Ri_vYsAgjz-JGM8wX6-PfL3wb0XrW28W68uPTda6Tv45129K4jBvMMXHL1JW-a8ZTsbvFf0Xb2f2mM66-CwPX94jLx8FU-8_fK-PX5wHby3pUS8v7WDvXmKgTxaaQy7af4oPotd0ztHCys8FaSAu8-XmL2A0Yo8aIBBvWuZsbz-nKO73_zGPewb8zyHWT692MIHPUTHmb3yO7K8DVMrvlyypjtiujW8Y4SLPS-DVjwg8Ya8rvQqvm3F3j2K1Au7fHuXvO5qKL17LlO8z3yjPbgyUj2n0FQ8KZjxPY37BT1yIlG7duEHvSoynz0ZtGs8UFObPbaeBLyGrkS8a4OuvMlILDzexou8gxT-O-cYgD1qXG683zMUvEOdiD29nIY7P7z4PHlFizwOs2E8zaR3PYdksr1tCGm8rnl6vcA8Cb35vjg7HW3BPTlpED0uBX-8bvzpPUzkrb0rc6m75xYfvY1Hqbz5A7O6uphQPR8bV71iaqY8c_5cPIoB1DsDmHC7ZCe0OydTIju-gW689Z-1Oykzrzy1sMC6JPMEPDgsrb0ptfK7MQRFPS9nHbt67G06zJ9rOyrxSrw6joK7g8BKPczOprsANwu7ydpQvSDfdL1I2SG5bVhuvTkRmDwP40E5PL3yPUrIUb1XwY45nNuUPQKE6rxPuZ24qSiYvf3xAz3LRX04dbY2PKvoEby7Apc4zrj6vMaOAb0SaMa3pRVfPIb5jD3f9yc58UZmPWh-EDxFZZ64qQQave8HV71_5kW6hu4IvTVuAL35K6S4mvoqPR4yuj1m3Xi3P25kPL5YLbs3fYM46cBoPUFQmb0JNIa4fr_9POQfTD0Hayg5QfEDPXFPwb3XOHs5cHsfPIsqDT3noKS4u89WPXslmj3WzBM4Fx-wPEughz04M8e4sYkruxbp9ruHMSA4T9GsPcONCj2p3Im4dz2HvaTDwzyAr8I4FiCAPAhUwbsl5Hq2m69tPTPinbxX5ps3PLavvRNLRb3-r7w3raf2PbPqmLx7Ozq5ClwIveLDkb08pVi4cjQJO3COtL040o22lLSsvGytND0EGPO1va8FPaVJCb6tnoW4Iv_sPTUpBT7zflu4ru-TvTrjwD0eAum4fE6FvWOES7zCyOi25DmhvVLZIzpEHd-3IAA4E0AJSG1QASpzEAAaYEn0AD70L-sTQjz77czuALQc3bn-ugj_-dL_7gwe_igE0L_94__40TPWmwAAAAj38wrbAC9_r_QbJ_wo_r6ltiHhdP4e4KDuGvG93FQaD8498_k8QgDxIK4CSP-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-MEAADhCAABAwgAAsEIAAEhCAAAAQAAAwEAAAAAAAAAQQgAAfEIAAKBAAACCwgAAQEIAACjCAADAQQAAiMEAAEBAAACywgAA4MAAAJTCAADAQAAAOMIAAMDBAABAwgAAsMEAAJLCAACgQAAALEIAAPBBAABQQQAAHEIAAAAAAAAAwQAA3sIAADhCAAAwQgAAfEIAAMjBAACIQQAAkEEAABzCAABAQAAAqEEAAIDBAACQQQAAAAAAANBBAAAEwgAARMIAABjCAACYwgAA-MEAAHTCAACgQQAAkMEAAAAAAAC4wQAAiEEAAIBCAACgQQAAAMAAAMBBAAA0QgAAHMIAACjCAADAwAAAsMEAAMBAAABAQQAA-EEAAGRCAAAgwQAAuEEAAExCAAAIwgAA5MIAAPjBAAAMwgAAOEIAACTCAAAwwgAAREIAABzCAACIQQAAqMEAABRCAADgwQAAoEEAAABBAAAAAAAATMIAAEDAAADYQQAAHMIgADgTQAlIdVABKo8CEAAagAIAACw-AACYvQAAhj4AAKA8AACoPQAAyj4AAK6-AADmvgAADL4AAAE_AAAQPQAAbL4AAAc_AADKPgAAdL4AAIi9AADePgAAiL0AADA9AAAfPwAAfz8AAOA8AADmvgAAij4AANg9AACoPQAABT8AAN6-AABQvQAA0j4AAAS-AAD4PQAA2L0AANi9AACevgAAur4AAIA7AACovQAAJL4AAOi9AAARvwAAgj4AAL4-AABEPgAAUL0AAIA7AADgvAAADL4AAGy-AACIvQAAqD0AAGS-AAARPwAA4LwAAIi9AABAvAAAYz8AADQ-AACGPgAAMD0AADS-AADgPAAAQDwAAPi9IAA4E0AJSHxQASqPAhABGoACAADYvQAAuD0AABC9AABlvwAAPL4AAFA9AAAQPQAAoLwAAEA8AAAcPgAALL4AANi9AACavgAAQLwAABA9AADgvAAAfL4AABk_AABAvAAAdD4AAKi9AABkvgAAQDwAANi9AAA8vgAAiD0AAGS-AACgPAAAyD0AAIC7AAAwvQAA2D0AAOA8AAAEvgAAQLwAAFA9AACqPgAAUL0AANi9AAAkvgAAcD0AABQ-AABkvgAAyD0AANi9AACgPAAAf78AAIg9AAC2PgAAPD4AABA9AABUvgAAcL0AAJ4-AADYPQAA6D0AADA9AAAEvgAAUD0AAIC7AABUPgAAcL0AAFC9AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Br1ARWMV7Io","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2914139452913381457"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1776082695"},"3647301042261852511":{"videoId":"3647301042261852511","docid":"34-4-7-ZDDBFF6318E820A4A","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/988525/8ba4dd9511ceb5ad9c997ff10db83068/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2FUBUAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DypGnU8Ou27U","linkTemplate":"/video/preview/3647301042261852511?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Abstract Algebra:L8, permutations and cycle notation, 9-14-16","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ypGnU8Ou27U\",\"src\":\"serp\",\"rvb\":\"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_E50XggQkAYAEKyqLARABGniB9QEC_gX6APwADRD3CvsCEfby9vUAAAACAQQJ_wX-AOgDBwAC_wAAC_T6BAkAAAD6E_769_4BABwG7v4EAAAAH-4CAfoAAAAHDfn8_gEAAOsJA_kDAAAAE_cNDQAAAAAFFfMJ_gAAAPMS_v0BAAAACw8G8f8AAAAgAC23ycI7OBNACUhOUAIqhAIQABrwAX8QMACzIN7_8_LkABQkyAKQ1SL_CTTwAKf-AAC2A98AESPuAfHd7wH1JT4AmxQNARYE6ADy8BcAOOwA_0HvNAAPCBkAQNX9AUEUMf8K-A7-yCQe_hW8JAH03-MCIRvBABTnK_36AAD9C-mzCf4FMADOCycGH9vd_8fjAgK3OhMC9vjC_vkw9wH-7RcAw_4iAQbv6_8XFAn5-SvHAvUVDgTk8fz6NwsL_i798ggTFfD2vvsDAfPn4QoXIyb-CfvdBsYD-vbl5v4CFfr7DyLYA_HtCgUM9QUACeAB9P748BAF3u0dDOQD7QIF4-b_7-Px_iAALeBpCTs4E0AJSGFQAipzEAAaYCXzACz1SQL-Jjb5BfLgA6HlB-tFyBD_wOL_GTbwDQUb2-0RKQAx0i_SogAAAB7-6hTiAO9_0dkYHwYHGrLfsAYgUAknELKhBuq50i5L7uAxAfYVKADN85kAQdiSKRULGyAALU2EFzs4E0AJSG9QAiqvBhAMGqAGAADgQQAAwMAAAIpCAAAowgAAEMEAACDBAAC-QgAAQEAAAIhBAABAwQAAgEAAABBCAADgwAAAyEEAAABAAACYwQAASEIAAHDBAABQQQAAoMEAAJDBAACQwgAAaMIAAPhBAAAcwgAAgD8AALjBAADwQQAAJEIAAIJCAABEwgAAEEEAAJDBAADQQQAAlsIAAODAAABgQQAAyEEAAJBBAACAPwAAGMIAAKhBAADAwAAA4MEAAFBBAABcwgAAAEAAAJjBAACQQQAAFEIAAFDBAABQQQAABMIAAPBBAADQQQAAcMIAANDBAABAQAAAOEIAAGBCAACgQQAABMIAAGzCAAB8wgAAMMEAAKLCAAAMwgAAqsIAAIA_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-AAAcPgAAUL0AADy-AACuvgAA4r4AAIo-AADYvQAAqD0AAHw-AAC4PQAAdL4AAJi9AACAOwAAqD0AAOC8AAAZPwAAfz8AAEw-AAC-vgAAyD0AAMi9AABAvAAAcD0AACy-AAAMPgAAPD4AAEC8AACCPgAAXL4AAKC8AAAkvgAAUD0AACQ-AAAQvQAARL4AALi9AAB0vgAAuD0AAEA8AABwvQAAir4AAOA8AACIPQAAyL0AAAw-AAA8vgAAdD4AAFS-AADyPgAAjj4AAIK-AAC4vQAAKz8AALi9AACgvAAAmD0AAKq-AAAcvgAA4DwAAJi9IAA4E0AJSHxQASqPAhABGoACAABwvQAAiL0AAKA8AAAzvwAAJL4AANg9AADoPQAAFD4AACy-AACmPgAA2L0AAES-AAAsvgAABL4AABS-AABAvAAA4DwAAD8_AACIvQAAgj4AAHA9AAD4vQAA4DwAAAS-AADgvAAAyD0AAGS-AADgPAAAXD4AAOg9AACIvQAAuD0AABC9AADmvgAAcD0AADA9AACCPgAAgDsAAOi9AABAvAAAhj4AADC9AADYvQAA6L0AAFC9AAA0PgAAf78AADC9AAAwPQAABD4AACQ-AAC4vQAAED0AAOg9AABkPgAAoLwAAEA8AACAOwAAyL0AAJg9AAAsPgAA4LwAAJg9AABAPCAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ypGnU8Ou27U","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3647301042261852511"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2351939634"},"13687868693234920166":{"videoId":"13687868693234920166","docid":"34-11-8-Z78DE92A59DA4798B","description":"Here we study the Gaussian integers. Warning, professor sleepy, proofs can be streamlined in places! For example, the converse of the Theorem is clearly forbidden by the fact p = 3 is Gaussian...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3282308/4e9ed2da9f11a0db1b373bea6bbdb497/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/LbLbKgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DU4Hkw-eNpoU","linkTemplate":"/video/preview/13687868693234920166?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Number Theory: Lecture 10","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=U4Hkw-eNpoU\",\"src\":\"serp\",\"rvb\":\"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__4F-wYA8f8D__8CAAEAA__4-f7-AAMGAvkFBP4A9_kA9wEAAAD6DwP-BgAAAAUDA_z-_gEACAb7-QQAAAASAAQE_QAAAA8Q-vn-AQAA9v_8DAT_AAAI_fILAAAAAPYA__oDAAAA9RD-_gAAAAAC-PT0AAAAACAALU8Y5Ds4E0AJSE5QAiqEAhAAGvABfwkgAc_70P_HEuMA6AwHAccdEwDXR-j_vO7ZALv3yQD3DPsA6RPrABYLC_-x_ugBE9q3AvDeEP8XzRX_QuH5AOsdGQAg8AQBMe4hADIGEP3fIxL__s0SABfY1AMEItv-Eu4GAQIG9_7uA8QCD_48AfgBJQYY6Qf_3rP9AQUN5gH3-Mj-Dh3pAvu7DfzXEQkFEeIJ_xsXJQDlBPIB8gwT9wHQDf4lGvX68fb_BRkc6wbFDAMICev7CfsfEvjh8usB2fIsBeUH_Pjq5QUJI_0E_uwe-QH84vMKAAcHAgHwBAfu3wD25wLvAu0K6wbhCPXtIAAt7OYZOzgTQAlIYVACKs8HEAAawAcrhO2-NwvFO7NsubtfHhw981bdvOPEh72XLLg8tw3-PDF1fLxvLh4-LeCvvGEVlLyBCAG-Nz5JPa5tgLzFVYU-VDBvvZt_KryHNCq-nmmoPbZyZbxMxDu-gpxFu1Yy17pqXRM8RnwnvSBzDrvBfr498vfBvRetbbxviwi9Q0cHuiPYGL2JR_28k52ovWtwEb1jjJm8HU1cuw_yVbydhXg9vD6Qu4oFPrxX6b49qvngvIqtoLzWMTO9jVL4PDQ_yLweyss9EM_SPUEVkry3rdK8dozrvJReZTyoMxy9ND9Ive9QGLs27DI9AA0FPcTSO73Ywgc9RMeZvfI7srzQKkO-mHOfvA-oiDz31rY9qvDUOWhXBDsdPd69vsAMPrsIC7qeBBu9s_H7vJyeHL2qBmY9oeiLPRvVq7v-h489j8sTPa6J4DyDbNm8cFMtPazYMjhblZQ96g6ovTAwhrw02T88TrtTvajBWbyVYke86ZsUPbHojLyWSzk91iRzPRM16juZOlk8OaGrvF4pbDskXp67YvjovVMYZzv6WKa9y1CQvR2nrrsisJg9FsZxPCO7d7xbPpc9-KTDvajUOrtri0E9Tf5CvWQ8SjyxKQE9K3KjvLYiezyDZfS7hivWPLpVRry_a6e7OsO5PNY1f7x9O667taXOPT5q4bpsAee7MEfvvT-aoLoLqLE98cP3vJiM-7mTpfs86PhoPR7nEbsF6gM9tkcPvR2EzruEdQ29i9gMvb8jcLs1HjG9eIY_veA7nDrurw4-nxKRvX7QlDk7dcA8-9hTvW4uxTiOCpe9WvERO6nQjTh5q1M8k3FsvaqGAzlcVAu9nBXxvdyedTnfmFQ907eRPWpFyjfoylY8alxJPKA3kTmpBBq97wdXvX_mRbo_Pmm5yQORPDnKArkUfK49K8KNPeBkZTjG8jM9idwiPRd-9rf5py88YiCZvL2Q7bhleKa7AJQaPTZx0DgRoFA9ukmcvaiweTl0PqE8hX-cPYyWRLnnHzg9D--5PbRouTgjYYQ8ume9PSVfd7ecDkm9yPUKvYCr8beziog9II8qvFsjhTdmVT-9tYJrPUZfuDgSaI-7ToO9vHUyiLaFero9OiamPMfoaDjwF1O9Z2tYvNf4EzeSXRk-2U9QvazCP7lcSQG9yt7SvRciBLlyNAk7cI60vTjSjbabS1u9kjynPW1wgTjk1Z68eonxvWVVMLgi_-w9NSkFPvN-W7jrXOy8qqSkPQGLxLgjaMy9DQH6O28GBjd6DIC9KYA9PMRZt7cgADgTQAlIbVABKnMQABpgWOsAJgAoKvnrEPH_5fgs9NADAQ6w5v8H0QDkIOEkCCzFsAHoAP6uMMSfAAAAEPYiNM4A1X_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_AACgQgAAQEEAAOhBAACQQQAAAAAAANDBAAC4wgAAfEIAAARCAAA4QgAAgEAAABxCAAAQQQAA6MEAAOjBAAAcQgAAgMEAAKDAAAAwwQAA0EEAANDBAABQwQAAEMIAALDCAAAMwgAArsIAAEBBAAAAwgAAHEIAAAAAAAAgQQAATEIAAJhBAACgwAAAQEIAAIBCAABowgAARMIAACRCAAC4wQAAIEEAAFBBAADIQQAALEIAAEBBAACgQAAAuEEAAIDCAAC2wgAAwMAAANjBAABsQgAAyMEAANjBAAAIQgAAyMEAAMBBAACAPwAAIEEAAJjBAADIQQAAoEAAAIC_AAAQwgAAcEEAAEBAAAAEwiAAOBNACUh1UAEqjwIQABqAAgAAgLsAAMi9AAD4PQAAPD4AADA9AABcPgAAgDsAACe_AABUvgAAij4AAOg9AAAMPgAA-D0AAJI-AABUvgAAmL0AADw-AACYPQAA-D0AAKY-AAB_PwAAED0AAJ4-AAB0PgAAuL0AANi9AAA0PgAAVL4AAHA9AACSPgAAZD4AAJq-AAAMvgAA6D0AAEQ-AAA0PgAA4LwAAIK-AACqvgAAUL0AALK-AAA0vgAAgj4AAOi9AAAwvQAAFD4AAJg9AACovQAA-D0AAFy-AACAuwAAQLwAABA9AADgvAAAmL0AAMi9AABHPwAAiD0AABC9AAAUPgAAmL0AANg9AAAkPgAAEL0gADgTQAlIfFABKo8CEAEagAIAAFy-AAAUvgAAiL0AAGG_AAAQPQAAyL0AAGQ-AABcvgAAED0AAKC8AACoPQAA2L0AALi9AABMvgAAiD0AADC9AAAwvQAAKT8AAHA9AAC6PgAAiL0AAKi9AABAvAAAuL0AAIA7AACovQAAoDwAABA9AAAkPgAAoLwAADA9AAAkPgAAiL0AAAS-AADIPQAAuL0AAGw-AADIPQAAjr4AAIg9AABcPgAAFL4AAPi9AACoPQAABL4AABA9AAB_vwAADL4AAEA8AAAUPgAAUD0AAPi9AACgvAAAML0AAFA9AACYPQAAQDwAAAw-AAC4PQAAoLwAADw-AAAEvgAABL4AANg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=U4Hkw-eNpoU","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["13687868693234920166"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1603445626"},"5808046991098803233":{"videoId":"5808046991098803233","docid":"34-2-5-Z8D46C89D158E6184","description":"Pell's equation roughly from Stillwell, part 2 at end has a bit about what is on Test 1...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3778624/40e510d6bded2cc67e9c878350540147/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/yKrnJwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DE51GKQ1qorE","linkTemplate":"/video/preview/5808046991098803233?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Number Theory: Pell's Equation part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=E51GKQ1qorE\",\"src\":\"serp\",\"rvb\":\"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_E4YcggQkAYAEKyqLARABGniB8QUDAfsFAPT8CAf4Bf4BBgb4APf__wDuBPz4BQAAAPL3CfMHAAAA8RT-_wQAAAABBPsD_f4BABQJ_f8EAAAAEwsAAf4AAAAJDf7w_gEAAP_vBQED_wAABf4DBAAAAAD6-gD1AAAAAPoRCQwAAAAACg0F8_8AAAAgAC0SBuA7OBNACUhOUAIqhAIQABrwAX8MLwS3BNf-8Pz9AAwE6QC0-CH__SraANIBDADK7uUA_hT2ANL68_8GGA8AuR7cAAUF9v7h2_0BD94EADblFQABFhABLewQADEQJf81APX_y_cF_xDMHAENB_QAAx3h_gbaF_8NBu8B_-rUAAz-MwH8FR__Bd35BMrXAwDdBhAD-PrQ_gEN8AgV7AUC1_cI_gIH-QYSDwf79Ab9AwoDA_7-8gX3KggJ_hAG5gQaIP4F6ALxBuDk-gDtHRj-Bijk-dn9DALc_Aj4BvsJBQ7x-fkF-_H98vH7CfrbBAYfAPgC9PL4Ct4h_QP-AOwG8uwD-CAALdGNMzs4E0AJSGFQAipzEAAaYC3sAC3vMgYdFx7sxtEKQPDd9vz8mQP__OkA8yLw-kU_zrwUyQAMvx2_mgAAAAvs_u61AOd_C8dCMSEq-Nb03hwDVSU39bKdExXurvo1CMoPMhkYOwDeCqgmXAGwICHVAiAALepDFDs4E0AJSG9QAiqvBhAMGqAGAAAAQgAAUEEAAGRCAACYwQAAgEAAAEBAAACMQgAAwEEAACTCAACAwAAAAAAAAGRCAACAwAAA4EEAAMhBAACgQQAAhkIAAIjBAAAYQgAAVMIAAJjBAADIwQAAXMIAAFBCAAAgwQAAQMAAABzCAAAgwQAAAEIAANhBAAAwwgAAMEEAAGDBAAAgQgAArsIAAAhCAADAwAAANEIAAHBBAAAgwQAAEMEAAGDBAABQwQAAKMIAADxCAACgwAAAsMEAAMBAAAAkQgAAAAAAALjBAADwwQAAKMIAAIA_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_AAAwQQAAuEEAAOBBAAAAwgAAAMIAAHDCAAC8wgAAAAAAAKrCAADAQQAAMMIAAChCAAAAAAAAHEIAAIBCAAAoQgAAcEEAAEBCAACOQgAAMMIAAITCAACwQQAAQMAAAKDAAADAQAAAyEEAAIRCAACAPwAAoMAAAJ5CAACkwgAAusIAAKDAAAAgwQAAcEIAABDCAAAgwQAAgkIAAPjBAADoQQAAEMEAACRCAAAowgAAgD8AAKhBAABAQAAAPMIAAJBBAADAwAAAUMIgADgTQAlIdVABKo8CEAAagAIAADw-AABQvQAAmD0AAAw-AADoPQAA-D0AAHS-AAApvwAAfL4AAFw-AAAwPQAAoLwAAFC9AABcPgAAhr4AAMi9AAAsPgAA2D0AAIC7AADKPgAAfz8AAHA9AAAwvQAATD4AABy-AAA8vgAArj4AAAS-AABEPgAADD4AAAw-AACOvgAATL4AAIo-AACIPQAAmD0AAEA8AACCvgAAgr4AANK-AABsvgAALL4AACQ-AADYvQAAjr4AAI6-AAAMPgAAyL0AAFA9AAB0vgAA-D0AAIg9AACoPQAAiD0AALi9AAAcvgAAUT8AAKC8AACgvAAAcD0AAKg9AAAcPgAAXD4AACS-IAA4E0AJSHxQASqPAhABGoACAAAwvQAAiL0AAHA9AABBvwAAcL0AAMi9AAAcPgAAQLwAAIA7AADIPQAAQLwAAIA7AACAOwAAEL0AAJg9AACovQAA6L0AAGE_AAAwPQAA2j4AAEy-AADGvgAA4LwAAJi9AACAOwAAkr4AABw-AACAOwAAvj4AABQ-AADIvQAAiD0AADy-AABQvQAAJD4AAEC8AABAvAAAUL0AAAy-AAAMPgAALD4AAKi9AABEvgAAyD0AAEy-AABQPQAAf78AABS-AABAPAAAQLwAAOi9AACIPQAAiL0AABA9AABAPAAAyD0AAIC7AAAsPgAAQDwAAEA8AABsPgAAgLsAAHC9AACGviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=E51GKQ1qorE","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5808046991098803233"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2872460633"},"16190913562724996241":{"videoId":"16190913562724996241","docid":"34-5-15-ZEF629F2AD27BBE5D","description":"We discuss limits of functions in a normed linear space. Also, we discuss sequential convergence, Cauchy sequences and complete spaces. We show completeness of R implies completeness of R2 and I...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2440095/1734711a318229598a9e56796131715c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RC7NKgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DOat_jwUtE0M","linkTemplate":"/video/preview/16190913562724996241?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: Lecture 2 part 1: limit laws in normed linear spaces","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Oat_jwUtE0M\",\"src\":\"serp\",\"rvb\":\"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-goG_gMA-PfzDgcH_AEAA__4-P7-AOwO_f37_wAA8wD-_v8AAAD9GPwFAwAAAPjt9P36_gAAFfsCDAMAAAAS_gD4_wAAAP8I8v3_AQAA9wQC-AIAAAAH_PsKAAAAAP7__fsCAAAA7QP5DgAAAAAG9gD1AAAAACAALWmt2js4E0AJSE5QAiqEAhAAGvABdSgR_88wygHEAuUBGOr9Arf5Rv_xE8gAxBME_68N_gHqB-YA-B3bAAgcLf-BE-wB_9rVAP_gCP9G5OT_HQ8oAe4EGwEV-BAARRY0__ECIgHI_gwA-Mg_APvx4wEjHbwA_uAvAAD-6P_qBLkCEf5HAeQROwEg1fcDpd0GAcT_NwIGH8f_-hgq9xezHPzPFQsGBu7q_w4wCPgAI_H_APb5CQXx6wE7Cwz-IxTlBu4H-_m_4v4G5Ajl_uUOKgTxAuH36QII-du69foJ5ggOFsX78uUgCgL3yPIR_N3k8wLU9_DD2PIM0eLz8_0A5QgA2vr4IAAt1awAOzgTQAlIYVACKs8HEAAawAeSB_K-pkALPeCDl7xfHhw981bdvOPEh70HLMQ9pXmyO_ohW7zakB8-pgUzO-etmTpuige-v2rAPOZddbz9vXQ-klRLvQOx7DyHNCq-nmmoPbZyZbz8VCW-MdkuvAdz5jeMqAS9ZNStu4uQlTxyHmk9O2pxvby0PL3omYM8JFT6PJspI73cmwQ81JPevPztAb0_5ci9ke08vb8enbx19YQ9FIIrPfLB_LzPSZ89hZmRvC6qh7vSzo-95ymhvBDf8LsED8I9IiaHPRBKTjyWGus7qpm1ux8shLvlXgC9TZi6vNj_b7xxtbk9-ic4vE_qC73tB6E8UughvY-eTL1trOS9phEuPZROwTsaQo899vDAPGcxqTqu9Cq-bcXePYrUC7t-Ncy9lOEzvR_Wm7wLXYk9I5i_PVjJh7yJF5o91QIevCEUpbqQsYS9IzKsPKv-LTxQU5s9tp4EvIauRLzkJ9k7bGkEvZTbNLuDFP475xiAPWpcbrx7fdI8Vyx5PV0uBzu_w4M9NCqVPAsPqbktyhE9XxeEvZpD8zsU-MS9_M9Qve9nQjxjL589Jv-jPbhiNbxbPpc9-KTDvajUOrtEII08V1OjvAn-NzxtpJE8Xsh5vR-sNTtz_lw8igHUOwOYcLu_a6e7OsO5PNY1f7x4kbK7T0EZPaJE7LuZNtK8vFrOvRicLzpOEMA96N8pvcoiWLpHdE88NYXnO_jX-rtse3s9TeCxPKuKmTrtz2q91f-evOr5e7pmFbY8Xm9xPT6SszlPIx0-lbgOvQ170jifZlS7b3rdu5VCA7uOCpe9WvERO6nQjTi19I08cJjovGug4jcPCsq8Eg03vQx7nzjiA6s9cJMWPeMHwjhAhSM9GvBDvMmgsjm273a8I9cNvVy9JLkVtMG7tOcyvHi_trgF-ak9wiS7PVrbvTciXzg982XYPCGCIrkwJkI96TIrvSdMALk86RM9r6EqPf_btTj8Vss9CBc8vQPuAznjb3I5yb-gPbn9JziAnJA9SMCtPXy-4jhI1qs8GxChPRH5bzeug168a4PuvDkoDjg1gII9V7CNPOXzq7b49369W8UsPRgpvjgCQxi8foQIPIOLsDf-XFk9cxaBvQIwBjhBR-u9bF5VvNQRrLfCpNg9NiomvXu0LbnNx3q90xXsveab-LhHJ-Y8vqetvck0b7dAkIK9prxxPaB-9bbDnCC9Sijdve0gSbgi_-w9NSkFPvN-W7jwsjW9XMzPPQxGCrmtbeq9FDu_PG_S4zftiHm9B72tPGTFwDcgADgTQAlIbVABKnMQABpgPfYAJPIv1QAbT9cG6gwXp-z02N-r_v8HyADsCwYmBh7grhHX__28MMqgAAAAJ-3s_wIA6X_D3fIUGkkP4LnaIPxX4D8h1BcU6aHzMeca_EzyIiA9AALttR9V1I8Z8Tg8IAAtGpoUOzgTQAlIb1ACKq8GEAwaoAYAAMhBAABgQQAAikIAABTCAACgwAAAiMEAAJZCAACIQQAAgMAAAHDBAAC4wQAA-EEAAJDBAACwQQAA4EEAADDBAABUQgAAAMIAAAhCAAC4wQAAsMEAAHDCAAB8wgAAhkIAADDBAABQwQAA8MEAAAAAAAAcQgAAWEIAAATCAACAQAAAiMEAACxCAAC4wgAAkMEAAJhBAABQQgAAkEEAAEBBAAAEwgAAAAAAAODBAAAcwgAAUEIAABTCAABAwQAAqMEAAPhBAAAAQQAAAMIAAJjBAABYwgAAHEIAALBBAAAAQAAAgsIAAMBBAAAgQgAAOEIAAOBBAAAQwgAAsMIAAJDCAAAgwQAAfMIAAADBAACuwgAAMMIAAPjBAACCQgAAuEEAAIA_AACAQQAAcMEAAKDBAAA4wgAAiMEAAJDBAAAYQgAA8MEAACRCAADAwAAAyMEAAGBCAACuQgAAFMIAAAzCAABQQgAAQEAAAGDBAAAMQgAAMEEAAJhBAAAYQgAAdMIAAFDBAACYwQAAAEIAAORCAAAcwgAA2EEAABhCAABswgAAWMIAAKBAAABQwQAAQEIAANDBAACoQgAAeEIAAMBBAACAwQAAAMAAAOBAAACkQgAAgMAAAEjCAACQQQAAosIAAFDBAACowQAA4EAAANTCAACwwQAAAMEAAMjBAABswgAAYMEAAKDAAADgwQAAZMIAANhBAACGQgAAwEEAAMBBAABQQQAAkEEAANDBAAA8wgAAhkIAAEDAAACAQQAAmMEAACxCAABQwQAAmMEAAHDBAACwwQAAQEEAALjBAADwQQAA-EEAACjCAACowQAAWMIAAKDCAACIwQAAisIAAIDAAAAMwgAAKEIAAKhBAACIQQAAikIAADBBAAAAQQAAeEIAAIJCAAAEwgAAbMIAAOBBAABQQQAAYEEAAADAAADgQQAAWEIAAOBBAAD4QQAAdEIAAJ7CAADEwgAAQEAAAEDBAAAsQgAAMMEAADDCAAAYQgAA6MEAAFDBAACAQQAAkEEAAKDBAADgwAAAgEEAAABBAAAUwgAAoEEAAIDAAAAgwiAAOBNACUh1UAEqjwIQABqAAgAA2L0AANi9AAA0PgAAHL4AAKA8AACSPgAAND4AADG_AABwvQAAhj4AAIi9AABAPAAAVD4AAL4-AABMvgAAoLwAANI-AADgPAAAoj4AADE_AAB_PwAA2L0AABC9AADSPgAAfL4AAPg9AADePgAArr4AAGS-AABkPgAA4DwAABy-AACgvAAAJL4AAAw-AACIPQAAoLwAAFC9AABcvgAAZL4AAPq-AABMPgAALD4AAIi9AADovQAAMD0AAI4-AAA0vgAATL4AAKa-AABAPAAA2L0AAOo-AACCPgAA2L0AALi9AABxPwAA2D0AAEC8AABcPgAABD4AAEw-AACgvAAAgLsgADgTQAlIfFABKo8CEAEagAIAAFS-AAA0PgAAgLsAAGO_AABQvQAAFD4AAEw-AACIPQAAQLwAAHw-AAAUPgAAFL4AALa-AABwvQAAUL0AAEC8AAAUPgAAIz8AAKC8AACKPgAABL4AAAS-AADgPAAADL4AAIA7AAA0PgAAPL4AALg9AABkPgAAUD0AAEA8AACgPAAAZL4AAFC9AADoPQAAEL0AAJ4-AABwPQAAXL4AAJa-AAAUPgAAoDwAAAy-AAD4PQAAFL4AAGw-AAB_vwAAXD4AAOg9AAC2PgAAqD0AAEA8AACAuwAAZD4AAHC9AACYPQAA4DwAAOi9AACCPgAAJL4AACw-AABUvgAAmD0AACQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Oat_jwUtE0M","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16190913562724996241"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3482522544"},"5342198921336963794":{"videoId":"5342198921336963794","docid":"34-7-4-Z64143488D1FF6E3D","description":"I'm looking at my 2018 or so Linear Algebra notes http://www.supermath.info/LinearNotes...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3832538/a6cd62753827529d2ec326905209c465/564x318_1"},"target":"_self","position":"7","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DoINLL5KrS5M","linkTemplate":"/video/preview/5342198921336963794?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: matrices over a field, 8-21-23 part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=oINLL5KrS5M\",\"src\":\"serp\",\"rvb\":\"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_E-4bggQkAYAEKyqLARABGniBBAL_-fwFAPX-CgwCBv0B_gv48vj-_gD8Bfr9BgT-APYE__cBAAAA_Qv8BQsAAAD7_f4H_v4AABoC_PYDAAAAEf4A-f8AAAAAFvYG_gAAAP4A-AYD_wAAAAYOBAAAAAAACfoIAAAAAAoK_AwAAAAA9v3-AAAAAAAgAC2thuA7OBNACUhOUAIqcxAAGmArCwBEMUwXFjYZ-cvu1CEG7ezzA-cX__U1_-Il-IMaUtG07Cf_c7sn4pAAAABH-uMAvgDffADj_0QpOjPmzOHW1n_ZHMLv_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-AAA0vgAAmj4AAM4-AAD4PQAAM78AACy-AAAkPgAAMD0AAEA8AAAsPgAAMT8AANa-AACYPQAAtj4AAEC8AACGPgAAdz8AAF0_AAAUvgAAoLwAAJY-AADoPQAACT8AAB0_AAB0vgAAuD0AAAM_AACAOwAAUD0AABy-AACYvQAAXD4AALK-AACgPAAAHL4AAAy-AACCvgAABL4AAI4-AAA1PwAAMD0AAAe_AACCPgAAyL0AADy-AADgPAAAvj4AAOA8AADgPAAAbD4AANg9AABUvgAAQDwAAH8_AACAuwAAZD4AALi9AAC-vgAAyj4AANg9AAC-viAAOBNACUh8UAEqjwIQARqAAgAAFL4AAMg9AACYPQAAQ78AANi9AACgvAAAZD4AABS-AABQPQAAJD4AAOC8AABMvgAATL4AAAS-AADgvAAAQLwAAHC9AAAfPwAAcL0AAKo-AABQPQAAJL4AAOi9AADIvQAAqD0AAIi9AAB0vgAAcD0AAKg9AACgvAAAcL0AAEw-AAAQvQAAhr4AAMg9AAAQvQAAjj4AANg9AAA8vgAAiL0AAEw-AACAOwAALL4AALi9AACgPAAAmL0AAH-_AAC4PQAAXD4AANg9AAAUPgAABL4AAAy-AAA0PgAAUD0AAOg9AAAQvQAA4LwAANi9AAAcPgAAJD4AAFy-AAAMPgAAND4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=oINLL5KrS5M","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5342198921336963794"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12371885681040158705":{"videoId":"12371885681040158705","docid":"34-0-17-ZC021E3B4EAB50F3B","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2776167/59b316615ec75b90009b2fc206ea0144/564x318_1"},"target":"_self","position":"8","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuuN5XjJd2QY","linkTemplate":"/video/preview/12371885681040158705?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-25 part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uuN5XjJd2QY\",\"src\":\"serp\",\"rvb\":\"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-Pz7Av4A8v0K_g0D_gEQ_QYC9gEAAOEF_QEA_AIA6wQJ8QAAAAAGBP4K_gAAAPX4__7z_gEAGwbv_gQAAAAUAAUE_AAAAAkLB_kS_gEB8Qf6BwMAAAAE-_72_wAAAA4J-AD__wAACBLv_AEAAAAV-wAFAAEAACAALY5Oyzs4E0AJSE5QAipzEAAaYEj3ACMc6vgPHR7oEASyOtjm7s_14ND_EuH_-icI2uwQ8YEez_8-8PQVpAAAACXn8hEoAA9wFhvkPx8gIczN5gLociMYsBPnFvv3HB33TgQmrfotRwDKCf38BOm5PEg-ASAALbAzHzs4E0AJSG9QAiqvBhAMGqAGAACgwQAA4MAAAIpCAACAvwAA4MAAAABAAACYQgAAUMEAAMDBAACIwQAAoMAAAChCAABAQQAAoEEAAFRCAABQwQAAJEIAAADAAAAAQAAAWMIAANjBAAAowgAAgMEAAL5CAABwQQAA0EEAAFzCAACYwQAAjEIAAExCAABAwQAAgMAAAGDBAAAIQgAAgMIAAPBBAACQQQAAuEEAAEBAAACwwQAAWMIAANDBAABwwQAAgEAAAFRCAACgQAAAGMIAACDCAABsQgAAEEEAAIA_AAAMQgAAyMEAACBBAACgwQAAGMIAAEDBAAA8QgAA0EEAADhCAACAPwAA6MEAAEjCAABUwgAA4EAAAAzCAACAQQAApsIAACDCAABQQQAAqEIAAAxCAADwwQAAXEIAAADBAACEwgAApsIAAKDAAADAQAAAUMEAABzCAAAAQQAAKMIAAHDCAAAcQgAArEIAABDBAABwwQAAYEIAAHDBAABgwgAAIEIAAEBBAABQwQAA2EEAAILCAAAUQgAAGMIAAPBBAABkQgAAIMIAAOhBAACgQQAAOMIAACzCAADgwQAAOMIAAHBBAABcwgAA4EIAAIBCAADoQQAAcEEAAOBAAADwQQAAnEIAAIA_AABUwgAAMEIAAFTCAACAPwAAMEEAAMBAAAC6wgAA4MAAADTCAADAwAAA8MEAAIjBAAA4wgAAoMAAAITCAADwQQAAiEIAAKhBAACgwAAAEEIAAEjCAACgwAAAzMIAAChCAABIQgAAkEIAAGDBAAD4QQAAgEEAABzCAAAgQQAAmEEAAMjBAABAwAAAiEEAAABAAABkwgAAUMIAACjCAABIwgAA4MAAAFTCAACIQQAAPMIAAIBBAAAwwgAAAEEAADhCAACAPwAAmEEAADhCAAAEQgAAWMIAAODBAAAQQgAA4EAAAAAAAADAQQAAOEIAAFhCAABAQAAAKEIAACBCAAA8wgAArsIAAIC_AACYwQAAPEIAAKDBAAA4wgAAsEIAACTCAABAQAAA0MEAAOBBAADAwAAAsEEAABBBAABwwQAAMMIAAIjBAAAwwgAAwMEgADgTQAlIdVABKo8CEAAagAIAAFQ-AAA8PgAAmL0AAFA9AACSPgAADL4AAPg9AAAFvwAAcL0AAOg9AAB0vgAAbL4AAEC8AAC6PgAAFL4AACQ-AACAOwAAdD4AAIq-AAAtPwAAfz8AAKA8AAC6vgAAgDsAAOi9AADIvQAAjj4AAKY-AACAOwAAyL0AABw-AACKvgAAUD0AAIA7AAB0vgAAyL0AAMg9AACavgAAE78AAK6-AACavgAARD4AABQ-AAC2vgAAQLwAAJa-AAC4PQAAML0AALI-AADovQAAnj4AAIA7AACWPgAAtj4AAJq-AACovQAAfz8AALi9AAAUPgAAkj4AAMg9AADgPAAARD4AAEC8IAA4E0AJSHxQASqPAhABGoACAAB8vgAAHL4AAKC8AABDvwAAUD0AANg9AAAcPgAA4DwAANi9AABcPgAAQLwAAKC8AAAUvgAA2L0AACw-AADgvAAADL4AAEc_AACCvgAAoj4AAES-AADYvQAAEL0AABC9AACIPQAAQDwAALi9AABAPAAAQDwAAHC9AABwvQAAHD4AALi9AACuvgAARD4AAEA8AACYPQAAVD4AADS-AAAwvQAAcD0AAAS-AABcvgAAqL0AAEC8AACWvgAAf78AAKi9AAC4PQAAyL0AADA9AADovQAA2D0AAFA9AADIPQAAgDsAADA9AAD4PQAA4LwAADA9AABsPgAAmD0AADQ-AACgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=uuN5XjJd2QY","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12371885681040158705"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"13458967160652255488":{"videoId":"13458967160652255488","docid":"34-5-14-Z13CA11F0DE19B615","description":"video, sharing, camera phone, video phone, free, upload...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3448282/7737d1e08fa1cf938cc89fdfa84a8c0c/564x318_1"},"target":"_self","position":"9","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNPXLxwIV-R0","linkTemplate":"/video/preview/13458967160652255488?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus: indeterminant powers and an optimization example, 3-22-24","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NPXLxwIV-R0\",\"src\":\"serp\",\"rvb\":\"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--gj7CfYA-_gHCQII_AITCQQN9AEBAOr8AQUKAAAACfoN8_4BAAAQ_RT4AAAAAAj29QID_AEAD_YE7QQAAAAd9fMK_QAAABAd-gP9AQAA8AgCEAX_AAAhBQgKAAAAAPkZCfz-_wAA9QkBAAAAAAACAvsP_wAAACAALQHTuTs4E0AJSE5QAipzEAAaYCcDAEzwGhToGP8E2-68DQ0M7_MI6t8ACMgA_xX94yQXBdgQEQAoIScCvAAAAAf44hQKAPJK8_76JA7zItkHC_Thf0MU8SkYCw7-HBj2AvAl9_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-AAAwvQAAuL0AADy-AAABvwAAZL4AAKg9AADYvQAAoLwAANg9AAD2PgAADL4AADy-AABEPgAAcD0AAFw-AABFPwAAaT8AAJI-AACoPQAAoj4AAHS-AAC4vQAAoj4AABS-AABwvQAATL4AAIA7AAA0vgAA4DwAAFA9AABAvAAAPL4AAKA8AAAsvgAAtr4AAJK-AADavgAAiL0AAKg9AAC4vQAAFL4AAAS-AADoPQAA5r4AAKo-AAC4PQAA6D0AAOC8AACoPQAAXD4AAA-_AAAEvgAAfz8AAHC9AACIvQAAuD0AAMK-AABcPgAA-D0AAGy-IAA4E0AJSHxQASqPAhABGoACAAC4vQAAmL0AADC9AABDvwAAXL4AAAw-AABwPQAATD4AADy-AACmPgAAqL0AABS-AAC4vQAAuL0AAHA9AADYvQAABL4AACE_AAAwvQAAxj4AAJi9AACAOwAAgLsAACy-AABAvAAADL4AAOC8AABAvAAAcD0AAHC9AABwvQAAqD0AANg9AACavgAABD4AAMi9AABcPgAAoj4AACS-AAAkPgAABD4AAHC9AAAkvgAAcL0AAKi9AADgvAAAf78AAJg9AACIPQAABD4AAIg9AABEvgAAXD4AAAw-AABUPgAAQLwAAHA9AABQPQAAiL0AAJi9AAAcPgAAPD4AAJg9AABQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=NPXLxwIV-R0","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13458967160652255488"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12712644688445780374":{"videoId":"12712644688445780374","docid":"34-6-10-Z417223C170E97C1D","description":"видео, поделиться, телефон с камерой, телефон с видео, бесплатно, загрузить...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3393528/129c1dd92b459b5c4d52c4cbc3e1f08c/564x318_1"},"target":"_self","position":"10","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWWOwlt0tqv0","linkTemplate":"/video/preview/12712644688445780374?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-25 part 2","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WWOwlt0tqv0\",\"src\":\"serp\",\"rvb\":\"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-Pz7Av4A8v0K_g0D_gEQ_QYC9gEAAOEF_QEA_AIA6wQJ8QAAAAAGBP4K_gAAAP7-_f_4_gAAGwbv_gQAAAAX-PsA_wAAAAkLB_kS_gEB8Qf6BwMAAAAE-_72_wAAAA4J-AD__wAACBLv_AEAAAAV-wAFAAEAACAALY5Oyzs4E0AJSE5QAipzEAAaYEQBAAEW9sQcNCzhFv_KEKi4A-fX9u3_MuYAGgf2ufIjEoEP6AAu4fA-owAAAA7d8iHtANh0EhoJMgQz-eXY8OgHfxPrrvvMGP7PKi0JTiAarQcrSQC9DigE8N7JFkI-GCAALW2SGDs4E0AJSG9QAiqvBhAMGqAGAACYQQAAoMAAAJBCAAAcwgAAQMAAAIBAAADEQgAAgMEAAMDAAAAAwAAAAMEAALBBAAAAwAAA4EAAAOhBAACAwQAAcEEAAAzCAACYQQAACMIAAKjBAACUwgAAWMIAAJJCAACAwAAAAEAAABDCAACAvwAANEIAAIBCAADQwQAAgMAAANDBAAA8QgAArMIAAABAAAAwQQAAYEEAAIBAAADgQAAAGMIAAKBAAAAAwQAAGMIAADBCAADIwQAA4MAAAOjBAADgQQAAgEEAAAzCAACgQQAA-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-AAAcPgAAgLsAAPg9AACKPgAAyL0AAIg9AADmvgAAcL0AAOg9AAA0vgAAVL4AAIA7AAC-PgAA-L0AAKg9AABwPQAAXD4AADS-AAAbPwAAfz8AAIA7AACuvgAAED0AAJi9AADIvQAATD4AAEQ-AAAUPgAAML0AAKg9AACGvgAAqD0AAKA8AAAMvgAAML0AADA9AACSvgAA-r4AAIa-AACyvgAAJD4AAOA8AACmvgAAoLwAAJa-AAA0PgAAgLsAAI4-AAAEvgAAhj4AAIg9AACKPgAAqj4AAGy-AAC4vQAAWT8AAOC8AAAkPgAAbD4AAHA9AABQvQAAJD4AAKg9IAA4E0AJSHxQASqPAhABGoACAABMvgAA2L0AADA9AAA7vwAAoDwAAMg9AAAMPgAA2D0AAKi9AAB0PgAA4LwAAOC8AAC4vQAAiL0AABw-AADgvAAAJL4AAE8_AACKvgAAkj4AABy-AAAkvgAAEL0AADC9AABQPQAAgLsAAHC9AABQPQAAoLwAAEC8AACYvQAAJD4AAOi9AACWvgAAHD4AAEC8AABQPQAAPD4AADS-AABwvQAAED0AACS-AAA8vgAAqL0AAOA8AACevgAAf78AAKC8AAC4PQAA-L0AAIC7AADgvAAAqD0AAIg9AADIPQAAoDwAADA9AAAcPgAAgDsAAJg9AABsPgAAoDwAACQ-AABwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=WWOwlt0tqv0","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12712644688445780374"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15434036134311418436":{"videoId":"15434036134311418436","docid":"34-9-2-ZE1E1FA3618DF6982","description":"видео, поделиться, телефон с камерой, телефон с видео, бесплатно, загрузить...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3452086/0830abeb5043cb83cc094b38afa6e613/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ynN1wAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBe4pBO8PExk","linkTemplate":"/video/preview/15434036134311418436?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Calculus 1: geometry of definition, other limits visually, sample proof, limit laws: 1-13-21 part 2","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Be4pBO8PExk\",\"src\":\"serp\",\"rvb\":\"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_AcEA_0A9fgGCQ8G_AH1-Pv8-f39ANYEAgv99wQA8gAI_PsAAAD5EP3--wAAAAEF-wP9_gEABQcH-PcAAAAZBPwL_wAAAAoR-g_-AQAA7f7z-AIAAAAM9fv__wAAAPYCBvX__wAA9fz8CQAAAAAMBP37AAAAACAALeXyyzs4E0AJSE5QAiqEAhAAGvABeO8AAIEh9_kHBe8AAA_jAbgLGP8ZIeUAxfzsALXX5gA_8OIB1vvP_9n3-ADk5f7_9dXwAAX89QA06-v__fQjANgWCAAf3wkABALn_9bs3_7lHSf-8O70APoK4wDy8hEA8_UI_g369f3i5PIEDf41Ae7bGwLvBwcF0AIAAf8j6QEN_fID_PcGBvYAH__w-gcDDA_g_xoI9PzuH_4EGzDxAhjn__0INgwB-hTxARof9vkJ5wv76wbs__gQEAY0Gvf65Pn8-9v8CPggAgIBDvD4-fn-DAXq4gQO5fgACvfeAP34-gUO8xj29ODb9Af7-fryIAAt8QUtOzgTQAlIYVACKs8HEAAawAd6jeW-5r0AveSqKL14e8A9aVGfu4yBt7siw7o9mcpnuqZBVj24GYM9lDlRvX_mAr2WXVC-kOzbvIkopjwKL2E-F3GwvEHTxjnZQ0u-Q5J2Oyl_gr23siS-KRXDPETQYryM-Jm99pZVOsatOLzNoEu9NYASvMJzBT0kCLq7rEHOPAj-3Dw5bMG9pMXZvTpjDjwW6o89wlV5vPNtpDvI1Bg9bMtFvYhcmbveQHy9nL-qO5d7t7zss5S8a9XuvIvo8rxXeKc9K0YHvSkjLrxJRx68rn6wuFm49jykRJy8skOhPDsOjztFK6e9m8FkPZdS17xfjJI9ThE7vHHBvryATIY9Sl0XvUCpkTyV3Fw9BkI3PXC2yDmoEUS8N22pO-uVjTw4LJK9KWulvMDuT7ws_qU850DFPalorDyiI769QV9fPVa2jzwbhNm9U0DaPE1i1josYe09LYTLPWemLLshbSi9FskSPRB5BLks-ZO9YmBCPA8vo7wuhGa8OL52PNxwjrx5Jq-9IgiEO5zS5bhC5q88yh0xPRGhVzuZIX-9ecrNu0XahrwdbcE9OWkQPS4Ff7yAs7m9ssNTvbmzZbxR4zk8DS08PSErjbo3qu48KplSvQtHazyQYHS8Exa7PdQmEjxdrIO9BLapvQ2MPDvEknY732-kPVxAwzpAnkI9oiWPvII1lDu6JcE7wABnPCvhR7tjhZU7f5aIPTC_kTnII6093hHfPAhVTbsptyi9paFmPbBRx7kmchG-ANMYPYLHETnOd6Y9Kg7WPM5WKrn3bII9RS_jvY-Tvzmubuu8pvAgPQuWnrmZLp87TH_AvYaUVjgvk6e9xl65vGsngjn00h49IDX3vADCXjjls7w8O1llPTEflLqzPxC-yDgQvQyTSrk1thc-9LcOvT8xHjikju69GsgOPbMeqjhZoog9BIKtO45W9zhtMck8KEnyvLSerDgDfRK-5ub7PdfvhzlurpA8iX2jO_aLWrea9-68a4ycvdwIvzeDaJK85IMePadrqTfv5xQ97eLsPOP6mLWuAma9_te5vK01orfi1_66inqsPdVYlbg62HG9sWi-uwZAIDjbb8i9jP2AvPCidTgcXvA9fQT-PPTnkLjFnBa9tJOsvVGCgzjB4ys-3KVovAeJdLm5n629wzO8vIaGELeyO6685qZ2u-lGKji7iKU8zsg7PUUchbc9c5A9yK9kvSSyBDcUPTU9riNYPfTQnDi4H7C8r4grPSLTlbgrpp29WPLCvPCopbc5Jms9A3eFvQ7uV7ggADgTQAlIbVABKnMQABpgSPYAJgEi2SQkcNEI3dYytMkJ8gjFBf8n0wDkD-nNEy_ZzyQOADa8-BWiAAAAMhzmH-4AzHT22Rwc_hwmzsTS-A1WKAXA39If0oG5Ehge1y_hCQ0NAOL24TIvGOf2GkoXIAAtvQ4bOzgTQAlIb1ACKq8GEAwaoAYAADBBAAD4QQAAGEIAAJjBAAAcQgAAdEIAAGxCAACwwQAAwsIAACDBAABMQgAAgL8AAGTCAAAMwgAAEEEAAIhBAABMQgAAZMIAALjBAABYwgAAUMEAADTCAAAgwgAALEIAACBBAACgQAAALMIAAMjBAACUQgAAFEIAABDCAABwQQAACMIAAJBCAABswgAATMIAAKhBAAAcQgAAYEEAAAxCAACAwQAAAAAAAOhBAACowQAAMMEAAEzCAACIQQAAYMEAADBBAACIwgAA_sIAACBBAABEwgAAqMEAAIBBAADYQQAAqsIAANjBAAAYQgAAoEAAAPhBAADowQAAHMIAABTCAABIQgAAEMIAABRCAADAwQAAhMIAAADBAACOQgAAFEIAAMDBAACAPwAAbMIAAKhBAAAgwQAALEIAAMjBAABQQQAAYMIAAGBCAADIQQAAAMEAAMBBAACgQgAAnMIAAIjBAAAwQgAAcEEAAIDAAADAwAAAQEEAAATCAAAAwAAA-MEAAABBAABAQAAAKEIAAIC_AABowgAACEIAACBCAAAAwQAAjsIAAKBAAADwwQAAgkIAACzCAADQQQAAqMEAANjBAABAQQAAHEIAABxCAAA8QgAAoMEAABzCAAAMQgAAaMIAADBBAADgwAAAoMEAAGzCAADowQAA4EEAAFDBAACgwAAAWMIAAODAAAAUwgAAaMIAALBBAABQQgAAokIAABBCAAB4QgAAqMEAAFzCAACIQQAADEIAAADAAACQQQAAQEEAANhBAADgQAAAwMEAAOjBAAAUQgAAcEEAANhBAACAQAAAHEIAAGjCAAA0wgAAYMEAAFTCAABAwAAAaMIAAODAAACAwQAA0EEAABDBAACQQQAAnEIAACjCAACAQQAAgkIAACxCAAAAwAAAJMIAAOBAAACAwAAAkEEAAHDBAADQQQAA2EEAAHDCAAA8QgAAokIAAMbCAADGwgAA-MEAAKDAAAAIQgAAJEIAAJLCAACeQgAAUEEAAJBBAAAAAAAAmEEAAFDBAABQwQAAcMEAADxCAABcwgAAgL8AADDBAADgQCAAOBNACUh1UAEqjwIQABqAAgAAhj4AAKA8AABEPgAAQLwAAMg9AACqPgAAuL0AAKa-AAC-vgAATD4AAHC9AAA0vgAA2D0AANo-AACOvgAAbL4AAHw-AABAvAAAiL0AAB8_AAB_PwAAcL0AAPi9AADqPgAA4DwAAFC9AAC2PgAAUD0AAMo-AAAEPgAAUL0AAHC9AAC4PQAA4DwAAKg9AAAcvgAAMD0AAM6-AACivgAATL4AAPq-AAB8vgAAJD4AANK-AADovQAA-L0AAAQ-AAAwvQAAQDwAAEy-AAAEPgAAcL0AAAQ-AACqPgAAtr4AABS-AABPPwAAQDwAAOg9AACSPgAAdL4AAKA8AABMPgAAVD4gADgTQAlIfFABKo8CEAEagAIAAGy-AACovQAAQLwAAEe_AACIvQAAXD4AAI4-AAA8PgAAgLsAACw-AAAwvQAAoLwAACS-AAD4PQAAmD0AAKi9AACYvQAAFz8AAFC9AADSPgAA2L0AAIa-AABwPQAA2L0AALg9AABcvgAA4DwAABA9AACWPgAAuL0AAKi9AACgPAAA6L0AAJi9AACGPgAAJL4AAHw-AACCPgAA6L0AAKA8AABcPgAAgLsAAHA9AAAQvQAA4LwAANi9AAB_vwAAvj4AAIY-AACOPgAAML0AAKC8AABQPQAAhj4AAEA8AADoPQAAgDsAAMi9AAC4PQAAiL0AAAw-AADovQAAiD0AAOg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Be4pBO8PExk","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15434036134311418436"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"264857430"},"16465705679018271487":{"videoId":"16465705679018271487","docid":"34-5-13-ZB427C6F073DE4C8A","description":"Here I give a very brief overview of linear algebra, for my students, I hope the first homework helps complete the review. Then I discuss normed linear spaces, metric spaces and inner product...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1607438/70231b950e1ea1a843c3cfa7d4bdf9e5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zRywCQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DgqRlInWygt0","linkTemplate":"/video/preview/16465705679018271487?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: Lecture 1 part 1: normed linear spaces","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=gqRlInWygt0\",\"src\":\"serp\",\"rvb\":\"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-wIE_QMA9gT3DQYG_AEHAQf6-P__APULAwb9Av8A-wD3__wAAAAGDP8FAwAAAAHz9vgA_QEAFPsCDAMAAAAM-wAAAQAAAP8I8v3_AQAA-QH6-QP_AAAIBAIKAAAAAPwD-AL_AAAA9fjzCQAAAAD78_v5AAAAACAALUh53Ts4E0AJSE5QAiqEAhAAGvABfxET_rYf4P_tBtUAHgjp_7DtHgD-D-AAyvb-ANjv1gD1_fgB7e7jABY7KgCPEe4BAN_t_wb88wBBEOwAKvQbAAc2HQAv5-wAPRMu_8sF__-pB_oA6usxAvbx9QEfGsQA8_kq_PEK-P7tA8AC7_BHA-cPNQEs_Pb_r-EFAdYYMwEFHM0A_yMU-RnWGf_VEwoFMfb0_h8K8fsJMOYAAg0EC_Hw7gM1Cgv-NfrhAwEYAfHW4yAB7wf9A-gNJgQaId4C0u4F_PjCBP_76gUFINoD8e4JBQvm3AUR7-__8hTnCfnX3A0F5gLuAvj89f0M7PoIIAAtHUYQOzgTQAlIYVACKs8HEAAawAeM9vi-XgImPPEN6rwOaQQ-pu_1vLtXV70HLMQ9pXmyO_ohW7wbEBE-0lRPvPSFFT2NtQ--p0OCPOWXgzv9vXQ-klRLvQOx7Dx1dPy9LxOaPQsCEL2JCxC-Nmquus6P-TuPDom9qlNUO8k5MTzBfr498vfBvRetbbxhgmC7bxYKPRi6bbwoEzI9sF8rvbGnPb32Oo692b0LvbnDprx19YQ9FIIrPfLB_LwM8qk92QF8PF_qqbu6Z629QVIavZnZQjwm5CM-o6iYPfh-NDx24xs8tXp2ulbojTz5FIC8NnSzvD0KV7zqB3U9v4TEO7HVCr3QcDQ9pbXZuRPoGL2t-QG-VKWSPCHR3zuoktw8oEWhOwKDoLuu9Cq-bcXePYrUC7trfty9YoWbvIkGzryqBmY9oeiLPRvVq7tBfnY98h85O50ILLydu_q72gQTPTGx_bvPpK09YGQ4PObilLwz63s8_YALu4RTlTw2Q8O7A-8_PfAb_Lotj5o8hnvAPD0SqztReFo9_Y1RPJx-mrykGoY9YXxHva6njLuyDbG9drvovH-PkzvdwX49vLskPYh7kbxXWBU9i1R4vZIQ3buprQc9x9UIvabYDzzfTfm640w4vWUZwboY-nE9k_7euyd7trvw1ZY7tx81PWKdz7tSG8u8cZZtPKsXT7uZNtK8vFrOvRicLzoDJ7s9TayCvN7bALvF2im8ci1_vEZn9DoX3os9IpnAO7cokrsi-IS9h-sDPMnzDbu4yP08tuRHPYbvs7pPIx0-lbgOvQ170jjbFVm7lX7CvJMb07dvoqG9gMfmvL-mFzmb80I8JIECPOEkpzjodiW9sQvQvBKrCLnfmFQ907eRPWpFyjdAhSM9GvBDvMmgsjlMGM06WN2wu_4X1bhJMTs92yG0PFR6lDkF-ak9wiS7PVrbvTfBjAk9LCz6O9-hVzoCA1I9WpzxvCm8Nbl1mrs8pN_-PBo22Le-58Y9AB2mvWpDhjnd81c9x1dRPQd6HzdqiaU9G8WIPc-v0DdbyAy8i6-BPTduOrmwQpC9TACZvSFlY7gLDbQ9juYIPEGvXzYNPw69qW80PRX2uDc2XAS9V67Yu_h2r7jzAqw9gxddvRIqwDgG8gy-G1TROjgYXzhB7rc9PGHTu0EZ_Li4XZO9z6uQvdp1RLhz-Wo8VfijveMQOzcAAna96hLEPD3I87cd4ww8Z0bfvWlQErgi_-w9NSkFPvN-W7iu75O9OuPAPR4C6binJQa-zxmLu_SONDb2Or69BVONvHNfF7ggADgTQAlIbVABKnMQABpgQAMAHuw10vIsXP4AzQ8Nv_vz6t2kF_8Qyf_nCgAe9SrVyArk_wO6N9GdAAAAC9_2DvAAAH_K1wkODDAXvs_kBwA9zUsVoRUn6rfsQfH6_0oMMxs-APHumAs63qIr9QwzIAAt7DYYOzgTQAlIb1ACKq8GEAwaoAYAAOBBAAAAQAAAhEIAAJDBAABwwQAAgMAAAJBCAAC4QQAAEMEAAIDAAACIwQAAiEEAAMDAAADIQQAANEIAAAjCAABsQgAA-MEAACRCAADwwQAACMIAAJLCAACCwgAAbEIAAODBAAAAwQAAQMIAAKDAAAA8QgAATEIAAATCAACIQQAAAMEAAARCAAC0wgAA4MAAAMBBAAAIQgAAgEAAAIBAAABIwgAAqMEAAATCAACQwQAAHEIAAKDBAABgwQAA8MEAAOhBAAAIQgAABMIAADBBAABMwgAAIEIAAMhBAADgwQAAbMIAALBBAAAUQgAALEIAAOBBAADIwQAAqMIAABjCAACYwQAAZMIAAIDBAACwwgAAqMEAAKDAAACQQgAABEIAABDBAACYQQAAgMEAADzCAABgwgAA8MEAAMDBAADIQQAANMIAADxCAAAMwgAA-MEAACxCAADQQgAAMMIAACDCAAAkQgAAEMEAANjBAABUQgAAEEEAAIA_AADYQQAAiMIAAHBBAABQwQAA4EEAAN5CAAA0wgAALEIAABhCAABUwgAAWMIAAIBAAADYwQAA2EEAAGzCAACuQgAAkEIAAJBBAACAvwAAoMAAAIC_AACMQgAA4MAAACTCAADYQQAAisIAAMDAAACQwQAAgEAAANDCAAAwwQAADMIAAJjBAAAUwgAAuMEAANjBAABgwQAAWMIAAADBAACIQgAA4EEAALBBAAC4QQAAoEAAAKDAAACywgAAWEIAAKBAAACoQQAAkMEAADxCAAAAwAAA8MEAAHDBAACIwQAAIEEAAEDAAADIQQAAFEIAAFjCAABAwgAA-MEAAIrCAADQwQAAcMIAADBBAAAcwgAABEIAAODAAACgQAAAJEIAALhBAACwQQAAmkIAAJxCAAAAwgAAgsIAAMBBAACYQQAAgEEAAIA_AAAwQgAAQEIAADRCAABAQQAAcEIAAGjCAADEwgAAMEEAAADBAAA8QgAAMMEAABzCAADwQQAAmMEAAAjCAAAQwQAAoEEAAADCAACgwAAAYEEAAEBBAADYwQAAEEEAACDBAABEwiAAOBNACUh1UAEqjwIQABqAAgAA4DwAAHA9AAAUPgAAiL0AAHS-AACAuwAAuD0AAP6-AAAEvgAAkj4AAOC8AAD4PQAAXD4AAKI-AAD4vQAABL4AAK4-AADgPAAABD4AAA8_AAB_PwAAgLsAAIi9AAA8PgAADL4AAFA9AADSPgAANL4AAIq-AAA8PgAAML0AAHA9AABQvQAAEL0AAPg9AACgvAAA2D0AAIi9AADovQAAir4AAKK-AACgPAAAvj4AABA9AADYPQAAcD0AAIC7AADgvAAATL4AAGy-AAAUPgAAMD0AANo-AAA8PgAAFL4AAKC8AABlPwAAqL0AAAw-AADYvQAADD4AABQ-AACoPQAAlr4gADgTQAlIfFABKo8CEAEagAIAADS-AABwPQAAmL0AAFe_AADgPAAAqD0AACQ-AAA8vgAAqL0AADw-AADgPAAAdL4AAFS-AABkvgAAoDwAAFC9AACIPQAAGz8AAHC9AABMPgAADL4AABC9AADIPQAA4LwAABA9AADIPQAAir4AAIg9AAB8PgAANL4AAEA8AAD4PQAANL4AACS-AADgPAAAgLsAANY-AACAuwAANL4AAJK-AAC4PQAAqD0AAJK-AACYPQAABL4AAAw-AAB_vwAA4DwAAAw-AAC-PgAA-D0AAGS-AACYvQAAhj4AABy-AABwPQAA4DwAAIA7AAAQPQAAUL0AANg9AADYvQAA-D0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=gqRlInWygt0","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16465705679018271487"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3132878446"},"13810340986614478843":{"videoId":"13810340986614478843","docid":"34-6-7-Z997AF470D516D7C2","description":"here we set the terms R2 and R3 and explain the geometric meaning of xhat, yhat and zhat (other texts call these i, j and k respective due to their historic correspondence with the versors in...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3919086/a4b8c65d93bbcce0ea18688d16acb2d1/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/m97yKAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DGPX8HJrNgOE","linkTemplate":"/video/preview/13810340986614478843?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Multivariate Calculus: Lecture 1: points and vectors","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=GPX8HJrNgOE\",\"src\":\"serp\",\"rvb\":\"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_4A_wEA-_z_EAEJ-wIMCgf_9gEBAPb_CgAHAv8A-fX4-_gAAAAJFv4BCQAAAP0NCQn2_gEAFvTwAAEAAAASCff99gAAAAf88PcAAQAA7fP9DAT_AAANCQEFAAAAAP0G9_oCAAAA9wsJ_QAAAAAA__7_AAAAACAALQhh1Ts4E0AJSE5QAiqEAhAAGvABf_cP_6IFy_3f4eMA9iPYAtUaJwAfKd4AyAznANfwvgEE_QYA5C_mAAQC7AC1Lh4B8_bt_uTKKQAk4ygAFO0VAMsOMAArAg0BOxEZAhf29wHOTCT_4O_9ARnU0AMFVdz9IfAU-y8I-wH-5McA_gUvAALpK_z4D_oF7tUAAd4i_wPJ2sj78RcSAxHw9fnE_iEBIgf8CCAzGQDexegDAPgQ_BDUDfspHPT6FAjeBfkKFfrE5P4GAvHZ--cNJwT5F9f86BUP9fPkCf7RBf4MAvcX9NUjAQgcz_cT-_L29_jxDwX2-AYR-ej3ABcD4Pj5z_ABIAAtTvwLOzgTQAlIYVACKnMQABpgWOgAMhgV5h0kKunjrP4t_PLz9gTNEv_4uf_nFuIsPRjOyujuAAu7D9OeAAAAHM_gIOkA_X_Y2A_z6BcZ5K6rBA9b7kMmqtZOG-TVAen-COIxDR05AKQSqCoU2qPuLgAVIAAtLdwXOzgTQAlIb1ACKq8GEAwaoAYAADRCAAC4wQAAjkIAAKDBAADAwAAAcEEAALRCAAAwQQAAAMEAAIDAAAAwwQAAHEIAAFDBAACoQQAAuEEAAFDBAABwQgAA0MEAABhCAAAswgAAiMEAAHzCAAA8wgAAREIAAIDBAACgQQAAFMIAAHBBAAAUQgAAZEIAADzCAABwQQAAcMEAAKBBAACqwgAA4EAAAOBAAADYQQAAgMAAAAAAAAAAwgAAAEEAAIDBAADQwQAACEIAABDCAADAwAAAgMEAAExCAAAQQgAAAMEAAIA_AACQwQAA4EEAALBBAABowgAAZMIAALhBAAA4QgAANEIAAGBBAADgwQAAoMIAADzCAACwwQAAisIAABTCAADYwgAAUMEAAJDBAABYQgAAMEIAAJDBAACAwAAAwMEAAHDCAACYwgAAwMEAAABAAABwQQAAcMIAABBCAAAIwgAAHMIAABRCAACqQgAAJMIAACDCAABEQgAAQMEAAKDBAADAQQAAoEEAAKDAAABcQgAAhMIAAEBAAACowQAACEIAALJCAABEwgAAFEIAABxCAAA4wgAAVMIAACBBAACgwQAAVEIAADzCAADkQgAAikIAAIBBAACAPwAAUEEAAGBBAAB4QgAAgD8AAEDCAACgQQAArMIAAOBAAABAwAAA4EAAAJTCAAAQwQAAmMEAAIBAAABEwgAAoMEAAADBAABAwAAAfMIAAGDBAACiQgAA0EEAAABCAACAQQAAEEEAAJDBAADKwgAA8EEAAABAAACwQQAAwMEAAABBAABgQQAAuMEAACDBAACAvwAAsMEAAODAAAD4QQAAuEEAACjCAAB0wgAAEMIAAKbCAACAvwAAgMIAAEBAAACAwgAATEIAAADAAAAAQgAANEIAAPhBAAAwQQAABEIAAKJCAABUwgAAeMIAAEBBAADgQQAAoMAAAHDBAACQQQAAfEIAACBBAABAwAAAbEIAAIbCAADGwgAAQEAAAEDBAAAwQgAAEMEAABzCAAAYQgAAqMEAAAAAAADAwAAA4EEAAIDBAACAPwAAgL8AAKBAAACYwQAA0EEAAIBAAADQwSAAOBNACUh1UAEqjwIQABqAAgAAyL0AAIi9AAAMPgAAJL4AAOC8AACIPQAALD4AAA2_AACGvgAAuD0AACS-AAC4vQAA-D0AAII-AAAsvgAAgLsAAI4-AADgvAAAED0AAOI-AAB_PwAAuL0AAEQ-AAAwvQAAQLwAAMg9AAAMPgAAcL0AABS-AAAkPgAAyD0AAHA9AACYvQAAiL0AABw-AADgPAAAcD0AABy-AAAEvgAAdL4AAKK-AABwvQAAvj4AADC9AACGvgAAcL0AAIg9AABwvQAAmr4AABS-AABAPAAAyL0AAGw-AAAUPgAAdL4AAHC9AAAvPwAA4LwAANg9AACgPAAAEL0AAIg9AADYPQAAUL0gADgTQAlIfFABKo8CEAEagAIAABy-AAAkPgAAMD0AACW_AAAQPQAAJD4AAHw-AABAvAAAML0AABQ-AAAwvQAAfL4AAOA8AAD4vQAAUD0AADC9AABAPAAABT8AACS-AACGPgAAED0AAKg9AACAuwAA6L0AAKg9AADovQAAML0AAJg9AAA0vgAAoDwAAKg9AAA0PgAAdL4AAKA8AAAwvQAAdL4AAEQ-AABUPgAAnr4AANi9AACgPAAAQLwAADA9AAAwPQAAoLwAAKi9AAB_vwAAPD4AAIg9AAA0PgAAyD0AAFA9AACgPAAAPD4AAIg9AAC4PQAAQDwAAKg9AABAPAAAiD0AAFA9AACovQAABD4AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=GPX8HJrNgOE","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13810340986614478843"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1696607716"},"3073058286779619126":{"videoId":"3073058286779619126","docid":"34-3-0-ZD5B04092C76498E9","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4342588/e4a37dde9d4872a1940adc8fe92bb80e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/37rffQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvvN-DYj__rE","linkTemplate":"/video/preview/3073058286779619126?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 2","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vvN-DYj__rE\",\"src\":\"serp\",\"rvb\":\"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_E48OggQkAYAEKyqLARABGniB_P8IAQABAPsDAw4KCPsCAg4G9Pf__wD0DAMG_AL_APP9_PwIAAAA_Rn8BQMAAAD4-foQ__8AAAsBAP_sAP8AHwAJ__oAAAD_CPH9_wEAAP4PA_oCAAAADf0EAP8AAAACAQb__f8AAPH8-AAAAAAA_-4D-AAAAAAgAC1KxNQ7OBNACUhOUAIqhAIQABrwAX8C-v_CCd0A6u7JAc0XBAClLiX__DTSAMsRA__UDrkBBSHfAMkB3P8EACf_w0X0AED1yf_bwQ4APMfl_zDo-ADx_woAJtPzAUfwHv__8uH-yyEc_gTfDQD02rIACAvQ_g3hEP8DBvb-_-XJAAzzIv8E_0QAMvMKA9yv_QHmFRAC_t3A_-QJ7wED1P_51RIKBQzNEv4ICyT8_wby_93p_Pob4BECKy7vARf-9AP6DeUJ1P3s__QA8v0eJwr6-fv1A_L3JwLU-wr3-BUMACX8BP79IvAJ_vgBEhEJCP7u6gAK9Prq__X38f0DE-wE2fL1-SAALfjGETs4E0AJSGFQAirPBxAAGsAHeNDkvqk8kTsMDd-8XNf5vO97b720BQS9FNqYvSdPeT0LEYm7n9ajPSHw9jxF9py89pZivgV4gTx5Pw28LQtWPrCKXL1BLSa92UNLvkOSdjspf4K99aFrvoTTBz10NcO7O56APSjABr2RjOY6wX6-PfL3wb0XrW28cC1uO6Mrh7yzVpm8G0YBvmItjr1G6yg7eMAKPAS3BL3GSrE8bM_MPUI6H7x3gVQ7h6_lPPeENrzdoKy8fq2mvDANAz0ydGw84pIDPoejkDw4D0w8dk1tvL0Hw7yNkba7JRetvdtewbwLIc46Y15sPDsODT0tTuu8aTPzPB5v8r3XJdM6l-QwvkRvLD3sgma899a2Parw1DloVwQ7xmGqvatbnT3u1Jo7fHuXvO5qKL17LlO8cN2zPfgR5Dw9NWq7KZjxPY37BT1yIlG7CWTAPM9ZdT2FY7E8x458PTAvwDsm2-W8seuLO3B6VbuyCsC80m0OvUiSmz043Q-8qnMWPQSeKj189MQ7pwdlPVuU2TzYwmI8cArrPEXvub32R-W5zvIGvZA4ir2cy0O83cF-Pby7JD2Ie5G8i8ucPaQXer1feEq8pj-QvXzgurvAnic7uphQPR8bV71iaqY8QzSfvAoDAD0JFSC7VK7su-RZeD2WFRa8RYCTPE8wLT1t7bM7n6a7PFH8s72XBps73mdGPSWjlLyoi9Y7YzEAPVddhzx0Ygs7lyOfPfvGfL0DrBI6lQwAvVdfWL0zU3M4CS5bvUcVLLsa3YO7at6BPVFmaL0CFoQ54h1gPdRrabzxbVG7kbp4vSicHT3HAQm4BnYmPerbiL0CzWY4vsXgO6xTFb6mjMk5fBn7vBgJbT0ZWY03nj-SPaED3Dw7brG5Ux6SvUobyL3hc5s30nhdvQ74_LyF6pa4avFuPciSfj2QDg444iVVu-6CObo4-Ai4n1XJuqrkjb3onBU5HI-OPWa8zT2tY4W4mLRSOz9wxb33LmA5YkOcPMMdiT1YsKE5P8l4PJ4Bvz17QIe2I2GEPLpnvT0lX3e3rcMRPcJgiLwn2CE457FhPe1ffj0IQyC47CWXvQObzrxEeBE4L8hRPc9V6bz5UjM4oM5rPc0muLuuq7036zt_vYdLs7yfSUk4raf2PbPqmLx7Ozq5rBtPvXAAYr1x-qK4cjQJO3COtL040o22m0tbvZI8pz1tcIE4XqpIvTrpHb60Y_q4Iv_sPTUpBT7zflu4UqSxvIQiZz2d6RO4TXAAvbsWY7wn6My3Mw5_vWntrrrTPJ83IAA4E0AJSG1QASpzEAAaYEnaACsADe4LBiPi_ePjEsUV0LcL0un_8NL_6REO-isgxaQL-P8b2xDLngAAADDu4fUZAAV_wwn4NhgVEbypnysJbhEl89HmIQjX6CcXBtVH_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-MEAABjCAAAEQgAAwEAAACRCAAAQwgAAqkIAAIBCAAAAQgAA4MAAAEBBAADgwAAASEIAALhBAABEwgAAQMAAALrCAABwwQAAIMEAABhCAACOwgAABMIAAIjBAABQQQAAmMIAAFDBAACwQQAAQMEAAIjCAADQwQAAokIAAFhCAACoQQAAuEEAAKhBAABQwQAAhMIAAERCAADgwAAAVEIAADTCAACgQAAAAEAAAPjBAAAwQQAAQMEAABDCAACQwQAACEIAAMDAAACYwQAAFMIAAGDBAACqwgAAUMEAAHTCAADgQAAAUMIAAFxCAACQQQAAAEIAALRCAAAQQgAAoEAAADBCAAC2QgAAEMIAACjCAAAwwQAA-EEAAMjBAACIwQAAAEAAABRCAABQwQAAYMEAAGBCAAAkwgAAoMIAAABAAABAwQAAHEIAAIjBAAAEwgAAYEEAAABAAAAgQQAAiEEAAMhBAABwwQAAwEAAALBBAAAAAAAAEMEAACBBAACoQQAAUMIgADgTQAlIdVABKo8CEAAagAIAAEQ-AACYvQAAdD4AAFC9AACYPQAAuj4AAJa-AAAFvwAAPL4AAA8_AABEPgAABL4AAP4-AADSPgAAir4AAGS-AADmPgAA4LwAAMg9AAA3PwAAfz8AABC9AADivgAAbD4AAPg9AACIPQAA2j4AANK-AACIPQAA2j4AAPi9AAAEPgAA4LwAAJi9AACGvgAAur4AAHC9AADgvAAAFL4AAFA9AAAHvwAAlj4AAJI-AAD4PQAAUD0AAHA9AABwvQAAuL0AALi9AABQPQAAuD0AALi9AAAdPwAAED0AAPi9AACAOwAAXz8AAFw-AACGPgAAML0AAJ6-AABwvQAAgDsAAEC8IAA4E0AJSHxQASqPAhABGoACAACovQAAgDsAAPi9AABtvwAAVL4AABA9AADgPAAAmL0AAEC8AAAMPgAADL4AANi9AACivgAA4LwAABA9AAAQvQAAfL4AAA0_AAAwvQAAhj4AAJi9AABEvgAAgDsAAOi9AAAsvgAAuD0AAIq-AACAuwAA-D0AAKC8AACgvAAA-D0AAKA8AAA8vgAAgDsAALg9AAC6PgAAoLwAAMi9AAAsvgAAyD0AAAQ-AACSvgAA2D0AAOi9AAAQPQAAf78AAKA8AACuPgAAHD4AABA9AACGvgAAUL0AAJo-AACIPQAA6D0AADA9AAD4vQAAUD0AAEC8AABEPgAA4LwAADC9AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=vvN-DYj__rE","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3073058286779619126"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2121164376"},"15004077513221983502":{"videoId":"15004077513221983502","docid":"34-10-2-ZB3BA088B220CD07B","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2478199/f10cb4bc7dccfe4b93961b43485c6afc/564x318_1"},"target":"_self","position":"16","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCh7S1NcFRfg","linkTemplate":"/video/preview/15004077513221983502?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: inverse and implicit function theorems intuitive justification, 9-25-23 part 2","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Ch7S1NcFRfg\",\"src\":\"serp\",\"rvb\":\"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-BfsA6foJBf0CAAAV_fwA9QEBAOcB9_v4_gEABQju9wABAAD1EgfyAAAAAA799_X__wIADAEA_-oA_wAX7vb2_QAAAAEG7Qz_AQAA9f_zAgP_AAAX_gcDAAAAAPMSDQf-AAAACwv8DQAAAAAG_A4BAAAAACAALXikxjs4E0AJSE5QAipzEAAaYEIGAFoe5_Px0yrG8viVJAT82uog6df_9g3_Flv61gz1ypoo5f9UzgH3mwAAABcO8S8kAAV_HPnaOic3Kavl-ggOcikjygsBG_Ld-EwJONY7qPIiJgDMHQ78DiHffipLJyAALTKfDzs4E0AJSG9QAiqvBhAMGqAGAAAAQAAAAAAAAIBCAAAYwgAAEMEAABBBAACaQgAAUMEAAIC_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_AAAAAAAAwEEAAHhCAAAAwAAAAEIAAPBBAAB0wgAA0MIAAAAAAACAPwAAyEEAAMDBAACIwgAAFEIAAODBAACwwQAAgMAAALhBAACgwQAAkEEAAFBBAADgQAAADMIAAAhCAABAQQAANMIgADgTQAlIdVABKo8CEAAagAIAAGQ-AAAMPgAAcD0AADA9AACgPAAA-D0AAAw-AABFvwAA6L0AAJY-AAAkPgAAcL0AAMi9AADWPgAAkr4AAFy-AACAOwAAoDwAAKC8AAB5PwAAfz8AABC9AACSvgAAZD4AAEy-AACCPgAAkj4AADy-AACyPgAAhj4AAIC7AABQPQAANL4AAAw-AABAvAAARL4AAAS-AAAwvQAAgr4AAAy-AAD2vgAA4DwAAAw-AAA0vgAAsr4AAIC7AACqPgAAFL4AAOA8AAA8vgAALD4AAEQ-AACyPgAAyj4AAJK-AADYvQAAfT8AAIg9AAAQPQAA4LwAAHC9AABwPQAARD4AAAy-IAA4E0AJSHxQASqPAhABGoACAAAkvgAAiD0AAKi9AAAZvwAAmL0AAOA8AABUPgAAMD0AAFC9AAB8PgAAoDwAAOi9AACIvQAAuL0AABA9AABQvQAAgLsAAB0_AAAkvgAAsj4AADS-AADYvQAAgDsAAFS-AACYPQAAEL0AAHC9AABAvAAAmD0AADA9AADgvAAALD4AAIa-AAAkvgAA6D0AANi9AAAcPgAAsj4AACS-AABQvQAAXD4AAIi9AAAMvgAAQLwAAHC9AAAwvQAAf78AAOC8AACAOwAA2D0AAEw-AACYvQAAqD0AAHA9AAA0PgAAgDsAAIA7AAAQvQAAHL4AABA9AAD4PQAAoDwAAMg9AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Ch7S1NcFRfg","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15004077513221983502"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12280658376355647969":{"videoId":"12280658376355647969","docid":"34-3-3-Z0A374EDD6BF6B4C4","description":"видео, поделиться, телефон с камерой, телефон с видео, бесплатно, загрузить...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2366527/171a58b5e00a38f6fd8cec359b092477/564x318_1"},"target":"_self","position":"17","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6heXa5ESggs","linkTemplate":"/video/preview/12280658376355647969?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: continuously differentiable implies differentiable, chain rules, 1-23-25 part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6heXa5ESggs\",\"src\":\"serp\",\"rvb\":\"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-_AQA9PD8CAAF_gEO_gYC9wAAAAL6-gkGBP4A-gUHBPkBAAAHCAX9AgAAAAT7_Av__QEAFAn9_wQAAAAO9PkDAwAAABYJ9gj-AQAA__z7_wP_AAAH-gL9_wAAAPoL-AL-AAAA-gLzDQAAAAD_9gH-AAAAACAALc5t3js4E0AJSE5QAipzEAAaYC37ABJACQnoOnjF1dXZ6SPs-Oj5BSH_EPEAP_QMz0z_vbcd_v8yBgr1pwAAANwQIBceAPR3N_gH8RYz8wz46Ow_f_sO_Pz3LAWpyUjv-_wzwWI1TgCqQi4EFb8EFBQCFyAALaVUGDs4E0AJSG9QAiqvBhAMGqAGAACAQAAAwMEAAGRCAAAAwAAAgL8AADRCAAA4QgAAMMEAALjBAAAwwQAAQEAAAFhCAADgwAAAgEEAAERCAAAQQQAACEIAAIDBAAC4wQAAoMIAADDBAACEwgAALMIAALhCAAAcQgAAJEIAADDCAAD4wQAAzkIAAHhCAACIQQAA-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-MEAALhBAADIQQAA8EEAAGhCAACAvwAAGEIAAAxCAABQwQAAuMIAAAAAAAAEwgAAEEIAAEDBAACUwgAAtEIAALDBAABwwQAAYMEAADRCAABQwQAA-EEAALBBAACAwAAAisIAAAjCAAAswgAAgEAgADgTQAlIdVABKo8CEAAagAIAAOg9AACAuwAAmj4AAEC8AABAvAAAqD0AADQ-AACWvgAAQDwAAJg9AAAcvgAAED0AAEC8AABUPgAAjr4AAAQ-AAAEPgAAgDsAADA9AADSPgAAfz8AAIA7AAA8vgAAtj4AAGy-AABwPQAALD4AAIA7AACYPQAAZD4AAJi9AABwPQAA-L0AAFC9AAAcvgAA2D0AADQ-AABMvgAAbL4AACS-AACmvgAADL4AAOA8AAAQPQAABL4AAKi9AAAMPgAAML0AAMi9AACovQAAlj4AAIC7AACGPgAAcD0AAK6-AACYvQAAJz8AABw-AAAkvgAAUD0AAKi9AACgvAAAqD0AABA9IAA4E0AJSHxQASqPAhABGoACAAA8vgAAyD0AAIC7AABDvwAAML0AAIA7AAAkPgAAMD0AANi9AAAUPgAAED0AABy-AABsvgAAEL0AAPg9AACovQAAyL0AABs_AABcvgAAmj4AAKi9AAAcvgAAiL0AAFS-AAAwPQAAqL0AAOi9AABAPAAAyD0AANg9AACAOwAAmD0AACS-AADovQAALD4AADC9AADgvAAA6D0AAMi9AAAwPQAADD4AAMi9AAAEvgAAmD0AAJ6-AACYvQAAf78AALg9AACIPQAA2D0AADC9AABAvAAAMD0AABQ-AADIPQAAMD0AAIC7AACYPQAAEL0AAMi9AABAPAAAgLsAAHQ-AABAPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=6heXa5ESggs","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12280658376355647969"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"9878028430688119615":{"videoId":"9878028430688119615","docid":"34-9-13-Z18AB8F11DEE4CC34","description":"видео, поделиться, телефон с камерой, телефон с видео, бесплатно, загрузить...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/912044/2f85edeb6f8282375c0b6bb8188711bb/564x318_1"},"target":"_self","position":"18","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D72J77jUdcFM","linkTemplate":"/video/preview/9878028430688119615?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Advanced Calculus: limits and continuity in normed linear spaces of finite dimension, 1-16-25 part 2","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=72J77jUdcFM\",\"src\":\"serp\",\"rvb\":\"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_E9UIggQkAYAEKyqLARABGniBAu4HBgH_APX4BgkOBvwBBgf4APf__wDiBf0BAPwCAPsA9__8AAAA-gv7AwIAAAAP_vEJ__4CAA0A_QP7AAAAHfwCAwIA_wD_CPH9_wEAAPEI-vICAAAAEPr4BQAAAAD8CAEB_P8AAPT48woAAAAA_AH4-wAAAAAgAC2Ps9M7OBNACUhOUAIqcxAAGmAYCgAaAP240R5aw-3w7ers1hzZ3-b4_wz1AOr0_MD7F-rAE_H_F-4MAbkAAAAfBNEZ9ADHYOwD1gUhN-_08vHlGn_9_8kT7RLYsfsY-yjgNeY9FyEA7A0pERwE-TwFIFAgAC16RDc7OBNACUhvUAIqrwYQDBqgBgAAFEIAAGRCAAAwQgAAMMIAALhBAAA8QgAAREIAALjBAAA0wgAA-MEAANjBAACAPwAA-MEAALDBAACGQgAAMMEAACBCAACewgAAoEAAACTCAACawgAANMIAAHTCAABcQgAAwMEAAIDAAACowQAALMIAAHRCAAAwQgAADMIAAABBAACGwgAANEIAAODCAADAwQAAQEIAAFhCAAAAQgAAQEIAACBBAAAAAAAAMEIAAATCAAAgwQAAHMIAAIhBAABgwQAA4EAAABDBAACGwgAA0MEAAIjBAACAQQAAFEIAADRCAACowgAALMIAABhCAADgQQAAMEEAAPjBAAAwwgAA4MAAAMBBAAAcwgAA8EEAAEBBAACWwgAARMIAABxCAABgQQAAkMEAAKDAAACCwgAAAEAAAEzCAACgwAAAgD8AAExCAAAswgAAlkIAADDBAAAIwgAAIEEAAHxCAAAQwQAAEMIAADRCAAAEQgAAIMEAAOhBAAAgQQAAMMEAALDBAABwwQAAgMAAAETCAACIwQAAPEIAAJDBAAAQQgAAEEIAACzCAADAwAAAgEAAAGzCAABYQgAARMIAAEBAAACIQQAA0MEAAFBBAACYQQAAgMEAAIpCAACAwQAAksIAAPBBAACYwQAAVMIAAPjBAABAQAAAjsIAAGzCAACgwAAAcMEAAGDBAABAwAAAOMIAAAAAAACuwgAAUMEAAGhCAADowQAAiMEAAIBBAAAoQgAAAEEAAOjBAABUQgAAwMAAAJhBAACAwQAAHEIAALBBAACwwQAA0MEAACBBAAAgwQAARMIAAIA_AACAQgAA8MEAAODAAACAwQAAeMIAAKjBAAAAAAAAGMIAAIA_AAB0QgAAAEAAAFBBAABAQgAAuMEAAADAAADwQQAAoEEAADjCAABwwgAAQEAAAEBBAAAwwQAA4EAAALhBAABwQgAAwMEAAFBBAAA4QgAAnMIAAKTCAACAwQAAIMIAAJpCAADIQQAArsIAABhCAABwQQAANEIAABxCAAAIwgAAoEEAADhCAACYwQAAhEIAAIDCAACIwQAAcMEAAKjBIAA4E0AJSHVQASqPAhAAGoACAABAvAAAgDsAACQ-AABAvAAA2L0AAIg9AACAOwAA0r4AAIg9AAAkPgAADD4AAMg9AACKPgAAND4AAFS-AABQvQAAHD4AAPg9AACIPQAAIz8AAH8_AAAkPgAAtr4AAPY-AADIvQAAmD0AAGw-AAAEvgAAXD4AABw-AAAMvgAA-L0AAKi9AAAQvQAAML0AAAw-AABQPQAAPL4AAAS-AACKvgAAAb8AAIg9AAAQPQAA4LwAAAS-AAD4vQAAFD4AAIC7AAAwvQAAHL4AAJY-AAAcPgAAuj4AAK4-AABkvgAAyL0AAEM_AACoPQAAqD0AAKg9AACYPQAAyL0AANg9AABwvSAAOBNACUh8UAEqjwIQARqAAgAAJL4AAAy-AABQPQAAW78AALi9AAA0PgAAmD0AACw-AABcvgAAkj4AABC9AAAQvQAAVL4AAIg9AABQPQAAML0AAEA8AABBPwAAyL0AAJI-AACevgAAPL4AAKA8AAAkvgAA4DwAAOA8AABwvQAA4DwAAII-AACgPAAA6L0AAKg9AAAUvgAAhr4AACQ-AACoPQAAZD4AACw-AABAvAAAbL4AAAw-AADIvQAAur4AAHA9AAA8vgAAmL0AAH-_AAAQvQAAuD0AAK4-AACIPQAAQLwAAIg9AACCPgAADL4AAIA7AACgPAAA2D0AAAQ-AAAUvgAApj4AAJg9AAD4PQAA2L0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=72J77jUdcFM","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9878028430688119615"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4639789165805602063":{"videoId":"4639789165805602063","docid":"34-8-7-Z7B4A548D2AD34310","description":"Here we begin work on Chapter 10 of Stillwell. We define ring, field and discuss divisibility, primes, associates and the concept of an algebraic number. Several deeper theorems about algebraic...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1032782/d6ca8faf22d5b8a68480de323458799d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zDYIhAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFgMD890s-uY","linkTemplate":"/video/preview/4639789165805602063?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Number Theory: Rings and Algebraic Integers part 1","related_orig_text":"James Cook Math","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"James Cook Math\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FgMD890s-uY\",\"src\":\"serp\",\"rvb\":\"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_E5YjggQkAYAEKyqLARABGniBABD6-_0EAP0CBQL6Bf4C_gv48vf-_gD9DAX7-gT-APT-_PwIAAAAARcM_gEAAAAFCg0EAP0BABP69PUDAAAACPgAB_0AAAAQEPr5_gEAAOz_AgkDAAAAC_b7__8AAAD6-gD1AAAAAP8GBf0AAAAAAPsS-P8AAAAgAC2Teds7OBNACUhOUAIqhAIQABrwAX8RE_7M-s3_-QvuANb_9QGJ-hD__DXRALfwCwG29sUA9f34AdwI-wANCBf_syr4_zXUz_7z8RYAE9YFAF7mAP8H_hABMdYpAj0TLv82AOL_3SUT_yjRFQA7C94BHxrEAAvyE_kQB-oC7QPAAhnlLgP7Gif_DvzzAdnW9wLVCBQDBRzNABkg-gQm6Pv81wUjAvzi5QEQHxn51BTy_Oj58vv97wb0FkHp_yDx9gYlAwD-xuX-Buni8PkENxb_-RfY_PgGEQHZygr3Gw0LCBzQ8QX1A_wD_ODyCh76Af4l5Q7719wNBeUu9f_sIukL7vX3_yAALR1GEDs4E0AJSGFQAirPBxAAGsAHK4TtvjcLxTuzbLm7RBTTPZqIDLx6H6K9qgVbPR1rED0chsW8n1s4PucTfr3YCj-8JEM-vohyWD1J6Jm6xVWFPlQwb72bfyq8ehcvvgg8MD0pn9S8ptQFvj9MqboFZqq8ulaxvMNUaTz2rma8ch5pPTtqcb28tDy9b4sIvUNHB7oj2Bi9iUf9vJOdqL1rcBG9Y4yZvB1NXLsP8lW87a-IPYPuHL0u2mu7qRW2PTq9Yzm9H_U74R-7vQFAhLw5tO28NZf7PeqMyT2Ns4489GEHvcMNiL0unYU8vNnRO6LGjjz99787NuwyPQANBT3E0ju9nFqsPKMexzt8SPi80CpDvphzn7wPqIg8vTM_PQSE3juS7y28HT3evb7ADD67CAu6B_3WvGsKprrvIqe8pUuvPQDblj2ZYaO6VlqQPFVx_jwqkxa8YG1RvfAqFT2Mkfg7huJOPZD-cr1GoFW8vZxjvdmIsbyBUCg8qyajPFRQE7wnuNy78rCFPXZhlT24ZRO8V-T8PKJinLudiJm854U_u2GBqb3rCBa8mIGvvI_Cur2rvik8w_ARPSxFoj0mRRY7FZBWPb9elr3dQ8K73qwBPSzSmb2m9Iq7A70mPTS_9byUULg7HUspPWayyTwsfQ28v2unuzrDuTzWNX-8Qj0iPC1xaT1Z6aQ7bAHnuzBH770_mqC6zwNuPQlrSL1i_DU6sdWKPI2hNbtGmUu7bYaAPGpDL73Q4E64ydpQvSDfdL1I2SG5c1ZavUcQeDvauV07TyMdPpW4Dr0Ne9I4pQWaO1k1YzzROuI5mv3LvH_fv7x1o3a3PxmjvLL2V71D9Qu4kvNUvSc2ir2fqgm535hUPdO3kT1qRco3c4nAOmQsyTwzHzQ4e0IgPR2mYr2GVAu4uFTru6i7nTuoiCO5EMlwPTSA1z0f0iO36Uw1PdR9hDv9wS455iqMPLXknL186IM4w3iSPRRUiT2x_DU45yLZPAPM_L1SScg5nKglPWEoET3NQ-U4VW0HPiczDj7R4ee4CJvwPLn90j1HaWU4Dj2DvWyDKb2Cssq364QhPf-B6Lzhyqc4E8_-vDrXZj1oYew4Xb8APb8ZC73JcmI4cv-cPXc7sTyoF8A1NPUKvt761bwMBK43sRUEPsb_-Dsy2VO4bh5ivbErsr0Tv7-4Hip4OyUE670jv2c4zJrYvOO1YT2Q36G35NWevHqJ8b1lVTC4Iv_sPTUpBT7zflu4KZ5pvHjNkD2h5pq4Mkl2vaQj77wKWy24GjOZvV-E3zxjGDG3IAA4E0AJSG1QASpzEAAaYDfpADUNTxwf1RnWvv7wIgXn7e8rxBv_3br_BhPw_hgpw7Iv_f8YygDTowAAABcL4v_LAPN_5L31OyQazwSi4CMGa9okB72zFQjexzIlHgMYAlESVgDXDqMYXPTaKDItMyAALU1xFDs4E0AJSG9QAiqvBhAMGqAGAADoQQAAUMEAAGBCAAAUwgAAwMAAAGBBAADQQgAAAEEAAAAAAAAwQQAAUEEAAOhBAAAAwAAA4EAAAEhCAADQwQAAdEIAACTCAAAMQgAAEMIAAEzCAAB8wgAAiMIAAIZCAADIwQAA8MEAAPjBAABgwQAAEEIAAEBCAAA4wgAAoMAAACTCAADYQQAAvMIAAIC_AADoQQAALEIAAIC_AABQQQAAHMIAAADBAAAgwQAAAMIAAEhCAAAQwgAAgMAAAIA_AADAQQAAwEAAANjBAACAvwAADMIAACBCAAA0QgAAgMAAACzCAAB8QgAAaEIAAHxCAADIQQAADMIAAGjCAABIwgAAgL8AAIjCAAAAQAAAssIAAAjCAADYwQAAiEIAAPhBAADYwQAAkEEAAOBAAAAowgAAlsIAAJDBAACQwQAADEIAABDCAABQQgAAwMAAADjCAABwQQAArkIAAEjCAACIwQAAdEIAAGDBAACIwQAAwEEAAIDAAACQQQAAEEIAAAjCAAAQwQAAIMEAAMBBAACwQgAA4MEAAPhBAADgQQAA6MEAABTCAAAgQQAAEMIAADRCAADowQAAjEIAAI5CAABAQAAAQEAAAIA_AADgwAAArEIAAOBAAABcwgAA2EEAAKDCAACowQAAoEAAAGBBAACewgAAIMEAANjBAABgQQAA2MEAAMDBAAAAwQAAAMIAAIDCAACIQQAApkIAAKBBAADQQQAAAEEAAPhBAADAwAAAmsIAADhCAAAAQQAAgEIAAMjBAABQQgAAyEEAABjCAAAgwQAAEEEAAGDBAADIwQAAgEAAAOhBAADwwQAAmMEAABTCAACswgAAAAAAAJjCAACgwQAA8MEAAPBBAAAAQQAAoEEAAGRCAAAAAAAAgEAAACRCAAAoQgAAVMIAAHjCAAAAQgAAmEEAAEDAAADgwAAA6EEAAGxCAACgQAAAQEEAAABCAACgwgAAysIAAKBBAAAgwQAAXEIAANDBAABIwgAAKEIAABTCAACgQQAAwEAAAKBAAABgwQAAcEEAABBBAABwQQAAFMIAAExCAACYQQAASMIgADgTQAlIdVABKo8CEAAagAIAABC9AAAkvgAA-D0AAJi9AAAMvgAAMD0AAKC8AAAVvwAAJL4AAJg9AADgvAAAqL0AAOg9AABMPgAAVL4AABy-AACoPQAAQLwAADw-AADqPgAAfz8AANg9AADYPQAAVD4AADy-AACovQAATD4AANi9AAAcPgAA4DwAADA9AAC4vQAAir4AACQ-AAAEPgAAyL0AAHA9AAAEvgAAFL4AAOi9AADmvgAAQLwAALg9AAAUvgAANL4AAJi9AAA0PgAABL4AAOA8AABsvgAAgDsAANg9AABUPgAATD4AABS-AAAEvgAAOT8AAEC8AACgPAAA-D0AABC9AAAcPgAAuD0AAPi9IAA4E0AJSHxQASqPAhABGoACAAB8vgAAgDsAAEA8AABTvwAAgLsAADC9AABEPgAATL4AAAS-AAAcPgAAoLwAACS-AAAUvgAADL4AAOg9AAC4vQAAQDwAADM_AABwPQAAwj4AAKg9AAAMvgAAED0AAMi9AADgPAAAyL0AAPi9AADYPQAAHD4AAEA8AABAvAAA6D0AAEA8AACCvgAAFD4AAEC8AABcPgAA-D0AAAS-AABAvAAAhj4AALi9AAD4vQAAoDwAABC9AADYPQAAf78AABS-AABAPAAAhj4AACw-AACYvQAAQLwAAAw-AADovQAAmD0AAEC8AAAEPgAAiD0AAKC8AAA8PgAA2D0AAJg9AADgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=FgMD890s-uY","parent-reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4639789165805602063"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1989784124"}},"dups":{"5034284465231227131":{"videoId":"5034284465231227131","title":"Number Theory: Lecture 1: Numbers and Algebra","cleanTitle":"Number Theory: Lecture 1: Numbers and Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=b-Irzbkw8Ok","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/b-Irzbkw8Ok?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3585,"text":"59:45","a11yText":"Süre 59 dakika 45 saniye","shortText":"59 dk."},"views":{"text":"2,7bin","a11yText":"2,7 bin izleme"},"date":"14 mar 2022","modifyTime":1647216000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/b-Irzbkw8Ok?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=b-Irzbkw8Ok","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3585},"parentClipId":"5034284465231227131","href":"/preview/5034284465231227131?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/5034284465231227131?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2914139452913381457":{"videoId":"2914139452913381457","title":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 1","cleanTitle":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Br1ARWMV7Io","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Br1ARWMV7Io?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3590,"text":"59:50","a11yText":"Süre 59 dakika 50 saniye","shortText":"59 dk."},"views":{"text":"12,7bin","a11yText":"12,7 bin izleme"},"date":"29 ağu 2017","modifyTime":1504027002000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Br1ARWMV7Io?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Br1ARWMV7Io","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3590},"parentClipId":"2914139452913381457","href":"/preview/2914139452913381457?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/2914139452913381457?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3647301042261852511":{"videoId":"3647301042261852511","title":"Abstract Algebra:L8, permutations and cycle notation, 9-14-16","cleanTitle":"Abstract Algebra:L8, permutations and cycle notation, 9-14-16","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ypGnU8Ou27U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ypGnU8Ou27U?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2973,"text":"49:33","a11yText":"Süre 49 dakika 33 saniye","shortText":"49 dk."},"views":{"text":"19,4bin","a11yText":"19,4 bin izleme"},"date":"14 eyl 2016","modifyTime":1473811200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ypGnU8Ou27U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ypGnU8Ou27U","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":2973},"parentClipId":"3647301042261852511","href":"/preview/3647301042261852511?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/3647301042261852511?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13687868693234920166":{"videoId":"13687868693234920166","title":"Number Theory: Lecture 10","cleanTitle":"Number Theory: Lecture 10","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=U4Hkw-eNpoU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/U4Hkw-eNpoU?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4791,"text":"1:19:51","a11yText":"Süre 1 saat 19 dakika 51 saniye","shortText":"1 sa. 19 dk."},"views":{"text":"4,5bin","a11yText":"4,5 bin izleme"},"date":"24 şub 2015","modifyTime":1424736000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/U4Hkw-eNpoU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=U4Hkw-eNpoU","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":4791},"parentClipId":"13687868693234920166","href":"/preview/13687868693234920166?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/13687868693234920166?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"5808046991098803233":{"videoId":"5808046991098803233","title":"Number Theory: Pell's Equation part 1","cleanTitle":"Number Theory: Pell's Equation part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=E51GKQ1qorE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/E51GKQ1qorE?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3590,"text":"59:50","a11yText":"Süre 59 dakika 50 saniye","shortText":"59 dk."},"views":{"text":"14,8bin","a11yText":"14,8 bin izleme"},"date":"24 şub 2015","modifyTime":1424736000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/E51GKQ1qorE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=E51GKQ1qorE","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3590},"parentClipId":"5808046991098803233","href":"/preview/5808046991098803233?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/5808046991098803233?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"16190913562724996241":{"videoId":"16190913562724996241","title":"Advanced Calculus: Lecture 2 part 1: limit laws in normed linear spaces","cleanTitle":"Advanced Calculus: Lecture 2 part 1: limit laws in normed linear spaces","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Oat_jwUtE0M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Oat_jwUtE0M?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3590,"text":"59:50","a11yText":"Süre 59 dakika 50 saniye","shortText":"59 dk."},"views":{"text":"5,1bin","a11yText":"5,1 bin izleme"},"date":"27 ağu 2015","modifyTime":1440633600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Oat_jwUtE0M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Oat_jwUtE0M","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3590},"parentClipId":"16190913562724996241","href":"/preview/16190913562724996241?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/16190913562724996241?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"5342198921336963794":{"videoId":"5342198921336963794","title":"Advanced Calculus: matrices over a field, 8-21-23 part 1","cleanTitle":"Advanced Calculus: matrices over a field, 8-21-23 part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=oINLL5KrS5M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/oINLL5KrS5M?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3566,"text":"59:26","a11yText":"Süre 59 dakika 26 saniye","shortText":"59 dk."},"views":{"text":"6,5bin","a11yText":"6,5 bin izleme"},"date":"21 ağu 2023","modifyTime":1692576000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/oINLL5KrS5M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=oINLL5KrS5M","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3566},"parentClipId":"5342198921336963794","href":"/preview/5342198921336963794?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/5342198921336963794?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12371885681040158705":{"videoId":"12371885681040158705","title":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-2...","cleanTitle":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-25 part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uuN5XjJd2QY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uuN5XjJd2QY?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3591,"text":"59:51","a11yText":"Süre 59 dakika 51 saniye","shortText":"59 dk."},"date":"25 mar 2025","modifyTime":1742860800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uuN5XjJd2QY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uuN5XjJd2QY","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3591},"parentClipId":"12371885681040158705","href":"/preview/12371885681040158705?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/12371885681040158705?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13458967160652255488":{"videoId":"13458967160652255488","title":"Calculus: indeterminant powers and an optimization example, 3-22-24","cleanTitle":"Calculus: indeterminant powers and an optimization example, 3-22-24","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NPXLxwIV-R0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NPXLxwIV-R0?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3014,"text":"50:14","a11yText":"Süre 50 dakika 14 saniye","shortText":"50 dk."},"date":"22 mar 2024","modifyTime":1711065600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NPXLxwIV-R0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NPXLxwIV-R0","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3014},"parentClipId":"13458967160652255488","href":"/preview/13458967160652255488?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/13458967160652255488?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12712644688445780374":{"videoId":"12712644688445780374","title":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-2...","cleanTitle":"Foundations: modular arithmetic, rule of 9's, one's digit, units vs. zero divisors, 3-25-25 part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WWOwlt0tqv0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WWOwlt0tqv0?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":231,"text":"3:51","a11yText":"Süre 3 dakika 51 saniye","shortText":"3 dk."},"date":"25 mar 2025","modifyTime":1742860800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WWOwlt0tqv0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WWOwlt0tqv0","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":231},"parentClipId":"12712644688445780374","href":"/preview/12712644688445780374?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/12712644688445780374?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"15434036134311418436":{"videoId":"15434036134311418436","title":"Calculus 1: geometry of definition, other limits visually, sample proof, limit laws: 1-13-21 part 2","cleanTitle":"Calculus 1: geometry of definition, other limits visually, sample proof, limit laws: 1-13-21 part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Be4pBO8PExk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Be4pBO8PExk?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":547,"text":"9:07","a11yText":"Süre 9 dakika 7 saniye","shortText":"9 dk."},"date":"13 oca 2021","modifyTime":1610496000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Be4pBO8PExk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Be4pBO8PExk","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":547},"parentClipId":"15434036134311418436","href":"/preview/15434036134311418436?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/15434036134311418436?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"16465705679018271487":{"videoId":"16465705679018271487","title":"Advanced Calculus: Lecture 1 part 1: normed linear spaces","cleanTitle":"Advanced Calculus: Lecture 1 part 1: normed linear spaces","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=gqRlInWygt0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/gqRlInWygt0?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3590,"text":"59:50","a11yText":"Süre 59 dakika 50 saniye","shortText":"59 dk."},"views":{"text":"79,8bin","a11yText":"79,8 bin izleme"},"date":"25 ağu 2015","modifyTime":1440460800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/gqRlInWygt0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=gqRlInWygt0","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3590},"parentClipId":"16465705679018271487","href":"/preview/16465705679018271487?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/16465705679018271487?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13810340986614478843":{"videoId":"13810340986614478843","title":"Multivariate Calculus: Lecture 1: points and vectors","cleanTitle":"Multivariate Calculus: Lecture 1: points and vectors","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=GPX8HJrNgOE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/GPX8HJrNgOE?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1599,"text":"26:39","a11yText":"Süre 26 dakika 39 saniye","shortText":"26 dk."},"views":{"text":"5,9bin","a11yText":"5,9 bin izleme"},"date":"24 ağu 2015","modifyTime":1440374400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/GPX8HJrNgOE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=GPX8HJrNgOE","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":1599},"parentClipId":"13810340986614478843","href":"/preview/13810340986614478843?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/13810340986614478843?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"3073058286779619126":{"videoId":"3073058286779619126","title":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 2","cleanTitle":"Advanced Calculus: linear algebra, norms, limits: 8-28-17, part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vvN-DYj__rE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vvN-DYj__rE?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1807,"text":"30:07","a11yText":"Süre 30 dakika 7 saniye","shortText":"30 dk."},"views":{"text":"2bin","a11yText":"2 bin izleme"},"date":"29 ağu 2017","modifyTime":1504026359000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vvN-DYj__rE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vvN-DYj__rE","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":1807},"parentClipId":"3073058286779619126","href":"/preview/3073058286779619126?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/3073058286779619126?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"15004077513221983502":{"videoId":"15004077513221983502","title":"Advanced Calculus: inverse and implicit function theorems intuitive justification, 9-25-23 part 2","cleanTitle":"Advanced Calculus: inverse and implicit function theorems intuitive justification, 9-25-23 part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Ch7S1NcFRfg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Ch7S1NcFRfg?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3341,"text":"55:41","a11yText":"Süre 55 dakika 41 saniye","shortText":"55 dk."},"date":"25 eyl 2023","modifyTime":1695600000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Ch7S1NcFRfg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Ch7S1NcFRfg","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3341},"parentClipId":"15004077513221983502","href":"/preview/15004077513221983502?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/15004077513221983502?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12280658376355647969":{"videoId":"12280658376355647969","title":"Advanced Calculus: continuously differentiable implies differentiable, chain rules, 1-23-25 part 1","cleanTitle":"Advanced Calculus: continuously differentiable implies differentiable, chain rules, 1-23-25 part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6heXa5ESggs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6heXa5ESggs?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":3591,"text":"59:51","a11yText":"Süre 59 dakika 51 saniye","shortText":"59 dk."},"date":"23 oca 2025","modifyTime":1737590400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6heXa5ESggs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6heXa5ESggs","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":3591},"parentClipId":"12280658376355647969","href":"/preview/12280658376355647969?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/12280658376355647969?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"9878028430688119615":{"videoId":"9878028430688119615","title":"Advanced Calculus: limits and continuity in normed linear spaces of finite dimension, 1-16-25 part 2","cleanTitle":"Advanced Calculus: limits and continuity in normed linear spaces of finite dimension, 1-16-25 part 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=72J77jUdcFM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/72J77jUdcFM?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1109,"text":"18:29","a11yText":"Süre 18 dakika 29 saniye","shortText":"18 dk."},"date":"16 oca 2025","modifyTime":1736985600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/72J77jUdcFM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=72J77jUdcFM","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":1109},"parentClipId":"9878028430688119615","href":"/preview/9878028430688119615?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/9878028430688119615?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4639789165805602063":{"videoId":"4639789165805602063","title":"Number Theory: Rings and Algebraic Integers part 1","cleanTitle":"Number Theory: Rings and Algebraic Integers part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FgMD890s-uY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FgMD890s-uY?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":"d3d3LnlvdXR1YmUuY29tO1VDZllTcEtETFRqTkRjb095UG9NRklzQQ==","name":"James Cook Math","isVerified":false,"subscribersCount":0,"url":"/video/search?text=James+Cook+Math","origUrl":"http://www.youtube.com/@jamescook5617","a11yText":"James Cook Math. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":4502,"text":"1:15:02","a11yText":"Süre 1 saat 15 dakika 2 saniye","shortText":"1 sa. 15 dk."},"views":{"text":"3,2bin","a11yText":"3,2 bin izleme"},"date":"26 mar 2015","modifyTime":1427328000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FgMD890s-uY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FgMD890s-uY","reqid":"1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL","duration":4502},"parentClipId":"4639789165805602063","href":"/preview/4639789165805602063?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","rawHref":"/video/preview/4639789165805602063?parent-reqid=1774710351885082-16994468209528988144-balancer-l7leveler-kubr-yp-vla-66-BAL&text=James+Cook+Math","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"6994468209528988144766","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"James Cook Math","queryUriEscaped":"James%20Cook%20Math","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"}}}