{"pages":{"search":{"query":"Birkhoff","originalQuery":"Birkhoff","serpid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","parentReqid":"","serpItems":[{"id":"15566458353383178984-0-0","type":"videoSnippet","props":{"videoId":"15566458353383178984"},"curPage":0},{"id":"9724113034256624134-0-1","type":"videoSnippet","props":{"videoId":"9724113034256624134"},"curPage":0},{"id":"4307641224174569466-0-2","type":"videoSnippet","props":{"videoId":"4307641224174569466"},"curPage":0},{"id":"8358506517498163262-0-3","type":"videoSnippet","props":{"videoId":"8358506517498163262"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEJpcmtob2ZmCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","ui":"desktop","yuid":"3738887931769436358"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"8946883806640137963-0-5","type":"videoSnippet","props":{"videoId":"8946883806640137963"},"curPage":0},{"id":"17244130658240542329-0-6","type":"videoSnippet","props":{"videoId":"17244130658240542329"},"curPage":0},{"id":"6444748488936552541-0-7","type":"videoSnippet","props":{"videoId":"6444748488936552541"},"curPage":0},{"id":"6530308025019663371-0-8","type":"videoSnippet","props":{"videoId":"6530308025019663371"},"curPage":0},{"id":"11197919750968190080-0-9","type":"videoSnippet","props":{"videoId":"11197919750968190080"},"curPage":0},{"id":"6674576082013026970-0-10","type":"videoSnippet","props":{"videoId":"6674576082013026970"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEJpcmtob2ZmCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","ui":"desktop","yuid":"3738887931769436358"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"15003060593273713014-0-12","type":"videoSnippet","props":{"videoId":"15003060593273713014"},"curPage":0},{"id":"1089339253132902107-0-13","type":"videoSnippet","props":{"videoId":"1089339253132902107"},"curPage":0},{"id":"741230350852961370-0-14","type":"videoSnippet","props":{"videoId":"741230350852961370"},"curPage":0},{"id":"2847904710748269856-0-15","type":"videoSnippet","props":{"videoId":"2847904710748269856"},"curPage":0},{"id":"5028842564255670014-0-16","type":"videoSnippet","props":{"videoId":"5028842564255670014"},"curPage":0},{"id":"8834948081515072415-0-17","type":"videoSnippet","props":{"videoId":"8834948081515072415"},"curPage":0},{"id":"69055804474588986-0-18","type":"videoSnippet","props":{"videoId":"69055804474588986"},"curPage":0},{"id":"17008153317885135622-0-19","type":"videoSnippet","props":{"videoId":"17008153317885135622"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dEJpcmtob2ZmCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","ui":"desktop","yuid":"3738887931769436358"}}},"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%3DBirkhoff"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2302743360294929825748","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1466868,0,43;1457620,0,50;1193347,0,45;1470057,0,13;1460710,0,20;1464561,0,82;1459297,0,97;1465969,0,67;1472031,0,42;1461642,0,11;1339938,0,24;123851,0,54;1464523,0,56;1470249,0,23;1466296,0,38;1463529,0,74;1463531,0,70;1467148,0,28;1146115,0,94;1349038,0,0;1466618,0,10;1470513,0,13;1465697,0,97;1460387,0,37;1471183,0,61;1319148,0,57;1297912,0,43;151171,0,40;126344,0,93;1281084,0,48;287509,0,0;1447467,0,85;1006026,0,52;1473595,0,21;1468028,0,14;912280,0,87"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DBirkhoff","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Birkhoff","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":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Birkhoff","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Birkhoff: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Birkhoff\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Birkhoff — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ycf75928b84dd643905007e2bcb5197c1","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1466868,1457620,1193347,1470057,1460710,1464561,1459297,1465969,1472031,1461642,1339938,123851,1464523,1470249,1466296,1463529,1463531,1467148,1146115,1349038,1466618,1470513,1465697,1460387,1471183,1319148,1297912,151171,126344,1281084,287509,1447467,1006026,1473595,1468028,912280","queryText":"Birkhoff","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3738887931769436358","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769436416","tz":"America/Louisville","to_iso":"2026-01-26T09:06:56-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-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":"1466868,1457620,1193347,1470057,1460710,1464561,1459297,1465969,1472031,1461642,1339938,123851,1464523,1470249,1466296,1463529,1463531,1467148,1146115,1349038,1466618,1470513,1465697,1460387,1471183,1319148,1297912,151171,126344,1281084,287509,1447467,1006026,1473595,1468028,912280","queryText":"Birkhoff","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3738887931769436358","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":"2302743360294929825748","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":169,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3738887931769436358","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1754.0__7d090cb2d4d9823803190509a95d03c049893005","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"15566458353383178984":{"videoId":"15566458353383178984","docid":"34-2-12-Z7207181680CD87B9","description":"This video proves Birkhoff's Theorem, which states that a spherically symmetric solution to the vacuum #Einsteinfieldequations must necessarily be static. Intuitively, this means that even if our...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1348994/391698a5870ba089b1b08cab0e862e0d/564x318_1"},"target":"_self","position":"0","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dtwza_6dxmHU","linkTemplate":"/video/preview/15566458353383178984?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff's Theorem and Proof | General Relativity","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=twza_6dxmHU\",\"src\":\"serp\",\"rvb\":\"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_gHnBO_4-gAAAAgKBQQHA_8A8AsC-_kAAAD0EAgA-gAAAAEIAv7x_gEABv739QQAAAAgAQn_-QAAAAAY9Qf-AAAAB_L2DQP_AAAJBQQB_wAAAPcAAAIG-f8BFQIIAQAAAAD58Q_6AAAAACAALeB1zDs4E0AJSE5QAipzEAAaYP4MAEAPEfbP6wTz6_UIGwvvFRH9yuMA_fcAAzQI5vDz4-0fFAAuyBkFwQAAACjy_SjFANdL6NL37QsQ7QDKGQUefxf--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_AAAAwQAAWMIAAChCAABEQgAA2MEAAPhBAAA4QgAAsMEAANDBAAAMwgAA0EEAAMDAAAAkwgAAsMEAAPBBAACewgAAQMAAAFBBAADowQAAwEEAAMBAAAAAwgAAAMEAABTCAAAwQQAAkEEAADjCAACgwQAAgEAAACjCAADoQQAAIEEAAMBBAACwQQAAoEAgADgTQAlIdVABKo8CEAAagAIAAEA8AACgvAAAZD4AAEA8AACYPQAABD4AACy-AAAXvwAAhr4AAJg9AABwvQAA-D0AAIA7AACWPgAA6L0AALK-AACIPQAAuD0AAGQ-AAAJPwAAfz8AABC9AAAkPgAAqD0AAES-AACYvQAAEL0AABC9AADoPQAAwj4AAHA9AAC-vgAAqL0AAOg9AACAuwAAgLsAAKi9AABcvgAAvr4AADy-AADgPAAAML0AAKg9AAA0vgAAZL4AAKi9AAB8PgAAHL4AABA9AACmvgAAqL0AAEw-AAA0PgAAND4AAKq-AACgvAAANT8AAIC7AAAQPQAAVD4AAAS-AAC4vQAA-D0AAJq-IAA4E0AJSHxQASqPAhABGoACAACgvAAALD4AALg9AAAzvwAAyL0AAIi9AABUPgAAmL0AANi9AADqPgAAhj4AAOi9AADIPQAARL4AAOA8AACAuwAA2D0AADU_AAAEPgAAij4AAAy-AADIPQAA4LwAAMi9AACgPAAA2D0AAKg9AADYPQAAuL0AABA9AAAwvQAAuD0AADS-AAAsvgAA6L0AAKi9AABQvQAAmD0AAIq-AAAUvgAAML0AAFA9AABMvgAA4DwAAEC8AACAuwAAf78AAIC7AACoPQAAgLsAAIg9AABAPAAAJL4AAFA9AACYPQAAUD0AAOA8AAC4PQAAEL0AADC9AADoPQAARL4AAKg9AACIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=twza_6dxmHU","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15566458353383178984"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9724113034256624134":{"videoId":"9724113034256624134","docid":"34-9-4-Z1285604BE16CC9DA","description":"The following is part of a lecture series on black holes. In this first lecture, we will prove Birkhoff's theorem by solving the vacuum Einstein field equations and we will use Birkhoff's theorem...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/486876/21ba45606e12ea8f58572760ccfa416e/564x318_1"},"target":"_self","position":"1","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHn9DutzmHgs","linkTemplate":"/video/preview/9724113034256624134?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Black Hole Theory Lecture 1: Birkhoff's Theorem and the Schwarzschild Metric","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Hn9DutzmHgs\",\"src\":\"serp\",\"rvb\":\"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_gEIAQf69___AP0NBfv6Bf4A6fP8_Pz_AAD_BgH_BQAAAAgS_AP1_QEAFgn9_wQAAAAZCAoM-wAAAA8D9_7-AQAACQX9DwT_AP8L9QEHAAAAAP74-P___wAADQYBBQAAAAAG__r2AAAAACAALWoszzs4E0AJSE5QAipzEAAaYBQMACYMCA_HEhf73fj1Bx7uMBv4xesAAekA7RsCFAUK198iLP8VuBUEvwAAABUQDyT-ANFS_8Pp8f3h5_bu4xcpfwgS3fb-LgYHAswKIQ79_AtCSAAK_vTnJOYMCCI05iAALdqnUDs4E0AJSG9QAiqvBhAMGqAGAAAwQgAAKEIAAHBCAABkwgAA8EEAAAhCAAC0QgAA2MEAAEBAAAAgQQAAEMEAAODAAAB0wgAAAMAAAKDBAACwQQAAsEEAAGTCAACYQQAAyEEAAIBAAAAIQgAAdMIAAFBCAAAAAAAAgMIAAIjBAABYwgAA-EEAABRCAADgQAAAqMEAAO7CAAAAQAAAcMIAADDBAAAAQQAAZEIAAFhCAAAwQQAAAMEAAKBBAACwQQAA0MEAABhCAACAwgAA4EAAAEDBAACQQQAAAEAAAJrCAADAQAAAgMEAACRCAADoQQAAUEIAAKbCAACowQAA8EEAAJBCAADQQQAAnMIAABTCAABAwAAAGEIAAHDCAAAUwgAAIEEAAATCAADIwQAAQEIAAGBBAAC4wgAAnEIAAETCAABAQAAA2MEAAMBAAADYwQAAHEIAABDBAABAQgAAOMIAAJhBAADQwQAAEEEAAJDBAADgwQAAgEIAANBBAACgwQAAcEIAAPhBAACAwAAASEIAAKjBAACwQQAAAEAAAHBBAAB4QgAAuMEAALBBAAC4QQAAIMEAALLCAACIQQAAUEEAAIC_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-AABZvwAAzr4AAIg9AACovQAAUD0AALg9AACGPgAAZL4AAEy-AABcPgAAoLwAABQ-AAARPwAAez8AAKi9AACaPgAAcL0AAKC8AACoPQAAVD4AANi9AAD4vQAAXD4AAHw-AAA8vgAAmr4AAJI-AADgvAAAoLwAAOi9AADYvQAAmr4AAIK-AABUvgAAoLwAABQ-AABMvgAAhr4AAPi9AACaPgAA-L0AAIi9AADqvgAARL4AAJi9AABUPgAAUD0AALi9AAC4vQAAfz8AAEC8AABAvAAAuD0AAKA8AACIPQAAUD0AAHy-IAA4E0AJSHxQASqPAhABGoACAABEvgAAqD0AAPg9AABFvwAAmD0AAIg9AACoPQAA2L0AADS-AACKPgAAqD0AAAy-AACAOwAAir4AAJi9AABAPAAAQDwAAE8_AACYPQAAPD4AADC9AACgvAAAmD0AAEy-AABAvAAA-D0AAEC8AADYPQAAmL0AAHA9AABQPQAAMD0AAAy-AAAkvgAAQLwAANi9AAAQvQAAED0AAJ6-AAAEvgAAcD0AAHC9AACAOwAAQDwAACy-AAAQPQAAf78AANi9AADgPAAA-D0AADw-AACIvQAAgDsAAIC7AAAsPgAAML0AAKA8AAAcPgAAEL0AALi9AACIPQAA6L0AADA9AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Hn9DutzmHgs","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9724113034256624134"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4307641224174569466":{"videoId":"4307641224174569466","docid":"34-5-0-Z4DEA38DAB75B18E3","description":"Birkhoff's theorem explained and further discussing it's aspect of matching in a more general context.This is an experimental presentation with the following...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/467755/b65e0acd2b80ade5644d48ace65d2b88/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/b6codwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D58RI8yM4L10","linkTemplate":"/video/preview/4307641224174569466?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff's theorem - Matching procedure in general","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=58RI8yM4L10\",\"src\":\"serp\",\"rvb\":\"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_E44EggQkAYAEKyqLARABGniB_fz9Dv4CAPQCCwACBP4B_Qj3_fj-_QAKEAT6AwH_AP78AgT3AQAA_Rj8BQMAAAD4Df4H8v8BABADAvUEAAAAEgMRAP4AAAANGPsC_gEAAP_1BAgE_wAADQEKBQAAAAD4AAACBvr_AQUCBwgAAAAA_fQA-_z1_gAgAC3TpNo7OBNACUhOUAIqhAIQABrwAX8ECQHN_gMACvn5_8877QGt-AoA_S7XAMPs9ACr9ekA7xf4AP3s-v_t6jMA0x4RAC3a1v8d3ucALePc_w4gFAABGBEBMdAOATwCFP8I1-0B7QkiAPXCCP8a6ekACAj-BBMcEf3ZCNwACf_tAAnZOAIC7ST98v4hAvIO_gPYEwIB88HcAP7p_P8K4w350x0CBvnIFQHpDAP96hUQAhkM2AIY5v_99yXtAiELBgzyBfz61xT6-Q8B4QEIGA8E9QLo-Q3xC_bz9P79_QUCDSnWDwHr9vD378kIAQIE7_D33QD82v_69fkV-gD2DfgL-_j58SAALc0dJzs4E0AJSGFQAipzEAAaYBP2ADL_NgrY_CXz5NgBF9nyQe0ZwfX_GdsAACbi5e4uzsIlQv8ytQ7sowAAADHV4u3mAMt8yMTz6-kV2viD6T4cf94ZIdzSPv0BveAy_-IdKSEyMwASOqADT97SJisuGiAALV7qFTs4E0AJSG9QAiqvBhAMGqAGAADYwQAA4MAAAOBBAAAkQgAAhEIAAEBCAAC4QQAA2MEAAADBAABAwQAAPEIAAOBBAABAwgAAIMEAAIhCAAC4wQAAAMAAAETCAAC4wQAAQEAAAODAAACAQAAAwEAAALBBAAC4wQAAPMIAALDBAADmwgAAxEIAADBBAAAIwgAA4MEAAOjBAADgwQAAnMIAAADAAADAwAAAkkIAADTCAABgQQAAIEIAAOBBAABAwAAAoMEAAEBBAACqwgAAqsIAAPjBAACIQQAAQEEAAJTCAAAwQQAAPMIAABzCAABwQgAA-EEAAFTCAABowgAAgMAAABBBAADAQQAAMEEAALzCAACwwQAAcEEAAMDBAABYwgAAsEEAAMDBAABowgAAgEAAAFhCAAB4wgAAUEEAABDCAADAwAAAgL8AAI7CAACAPwAAiEIAAIrCAABgQgAAUMEAAMBBAAD4wQAAMEEAAIjBAACAQQAAKEIAABDCAACAQQAAkMEAAJZCAADGwgAAgMEAADDBAAAMwgAAqMEAAKBAAACIwQAAyMEAAHBBAAAgQgAAYEEAALhBAAA8wgAADMIAAOhBAAAIwgAAgEEAAGDBAAAQQQAA6EEAAIjBAABgQQAAgL8AADjCAABwwQAAKMIAALjBAADwwQAAgL8AAFDCAACAQAAA4MAAAPBBAADAwAAA2MEAAADBAAA8wgAA2MEAADzCAACGwgAAQMEAADzCAACgwQAAqMEAABhCAABQwQAAGMIAAHBCAABQwQAAhkIAAIDBAACYwQAAMMEAAABBAACowQAAIMEAAAAAAAAUwgAAFMIAAFxCAAAQQgAA6EEAAI7CAACYwgAAEMIAAIBBAACAwAAANMIAABBCAAAAQAAAgMEAAHDBAACgQQAAYEIAAAxCAAAYQgAAcEEAAETCAABAQQAACEIAAKBAAACgQAAAYEEAAIRCAADgwAAAAEAAAIjBAADYwQAAWMIAAIDBAAB4QgAALEIAAJjBAABAwAAA4EAAABTCAACwQQAAKEIAAGDCAACaQgAAMMEAAI5CAAAgwQAAhsIAAJjBAABgwgAAUEEgADgTQAlIdVABKo8CEAAagAIAAIA7AAD4vQAAbD4AAAQ-AAA8vgAAdD4AALi9AAAvvwAA8r4AAPg9AACIvQAAQLwAAIC7AAC2PgAA4DwAAOK-AACCPgAAED0AABw-AAD6PgAAfz8AAIC7AABMPgAA4LwAAGy-AAAQvQAAqD0AAOi9AACAuwAAkj4AAMg9AACovQAAyL0AALI-AABAvAAATL4AAIC7AADIvQAAFL4AAAS-AADYvQAA4DwAAIA7AAAcvgAAur4AAIA7AABMPgAA6L0AAMi9AACavgAADD4AABQ-AABQPQAAqD0AAES-AAAQvQAAbz8AAIi9AAAEPgAAdD4AAEC8AAAEvgAATD4AAJ6-IAA4E0AJSHxQASqPAhABGoACAACIvQAABD4AAAw-AAAlvwAAmL0AALg9AACOPgAAoLwAAAy-AADGPgAATD4AAGy-AAA0PgAALL4AAEA8AACgPAAAlj4AAFM_AAAkPgAAfD4AAKC8AACYPQAAmD0AADC9AACYPQAAuD0AALg9AADoPQAAQDwAADA9AAAQvQAA4DwAACy-AAB8vgAAmL0AAJi9AAAEvgAAiD0AAES-AABEvgAA6D0AANg9AABQPQAAyL0AAFA9AADoPQAAf78AAHC9AACAOwAAmD0AAEQ-AAAkPgAAuL0AAHA9AAAQPQAAMD0AAEC8AABMPgAAiL0AAHC9AABMPgAALL4AAJg9AAAUviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=58RI8yM4L10","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4307641224174569466"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1225453418"},"8358506517498163262":{"videoId":"8358506517498163262","docid":"34-11-8-Z8D86AF7BFFAC5EA6","description":"This is a music video that presents Birkhoff's theorem in the special case that answers the question which finite algebras are in the variety and in the pseudo-variety generated by a finite algebra.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1789762/23d68913891f99b6112dbcaef1fa93b5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/6dIcrgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlUBv90rhOGE","linkTemplate":"/video/preview/8358506517498163262?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff's Theorem","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lUBv90rhOGE\",\"src\":\"serp\",\"rvb\":\"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-vsH_wIA9_0I_vsE_wHkAPn9_AAAAAMGA_kFBP4A8wD-_v8AAADuCAf4BQAAAPgN_gfy_wEAEAMC9QQAAAAIBA4L_wAAAAYD9gH_AQAABAL-BQP_AAAIBAIKAAAAAPILAgEE-fcFCQQIAQAAAAD99AD7_PX-ACAALSN_2Ds4E0AJSE5QAiqEAhAAGvABfw_o_r0K2wDR0NP_wQ4vAZc5BP8tLvQA0iP9Apfz5AAFJN0A9uyn_x_39AC0GwkAHwG-AOTIKgAw_O__WPUk__0aMgA39gQBMvsaAfAU4v7VDPj_Cw4e__PXrQAJDM3-GQAV_vD73_nrA70CC9FEAwLpLPwG5gn_2P_9_OgHGP0L79MA2x8DCdPSCwDqGD8B89gY_wEXAvneBv_7C_7QAiv6CfYAEuz3CurlCQLqFPkA3AcD_N7q-gQIMP7bAvwGDOYaAuD14Prc8w3vPAQA_NAS_AAVBgMBNx4D9wXl9vkE3Pj53Pj8-OgC_PzD-OwDIAAtCE8IOzgTQAlIYVACKs8HEAAawAfZzOG-Jr9qvBn7FrxT5FW9Ud6HPIviMLyetVu9D19rPUf6_jymDvI9lfQwvGTJZ7p0tRW-mYOQPS0GD739vXQ-klRLvQOx7Dx1dPy9LxOaPQsCEL1tO-29fbg_vBryFTztKPO89l2Ruwx547tvmyk9cbtBvc7QLjyRVkY8tI6qvJSAHb0iF6G9O5yKvAUrU70_4yK9j8ldveCFiDxGWMk9vH6MvUU7ODs0PMc8cAOTvfVdNrzIv8W8DkA0OhKOsLvwWc08rHKAO0bSbjxKuIu9rTLTvEdQArxWUIy90MEJvVoUkbzf_MY97BvzPIdZPr3yCO49exTOvceArLyoyCG-AnwcPejpbTzkhv89OXb1PIxvnjzv5LO995GbPc39urxhiDw9IcksvWHdnTvPfKM9uDJSPafQVDxEFNM8R9KJPF8WyTwFKi08RkEQPd3zVzxblZQ96g6ovTAwhrz-r489zCrsvGCoibsQB-m9H1VDPTyowDsdWmS8eYcFPcLsjrpEIM08EziGuqIVDjzFNUM9-FENvglvLLt6Yqe8G8bTvCP9kbxEsUs9eV0cvP_WCLtDqR0-H2rbvcSaqTm6TK29VdpiPPjSJTxtpJE8Xsh5vR-sNTsILwu9qyArvLlB5Tr8ZYG9jqFSPN_rWrwzjea8MKCnPeCgHLzbyJC8E2FDvpRZlDn44us9fJVBPUX-srrMLnM9UBm_PF2-GjvQ88I8w-21vK20NbvMDJu888CsvMkpzzvHeH69YIe7vDHmSLjudJw9rOLNvSr_vTm3qUs9LVoFPbniYjnWDWq9Ar9hPfMoe7i59JS8kMGKPJyh1DmtL7c6_RLxvbwjiTkGlsg8KuQqPeWSEbk4k4A9NMSMPWu50LgvUPK9qFycvUOAv7fog6W8JRI7vR5ydrkHDNI9X2nPvNXf1bSdm5u83m5uPA-9CLjmpQs7U7s1vX3cwjhRJpw7TrYnOj8qOjdB8QM9cU_Bvdc4ezkKgLG8JxfjPWJgkrlJsS2911mTvUxZybhaTyg9M9RyPAFgTLfeWfs82PGfvRgNlzg1gII9V7CNPOXzq7Yi-wC-xl8kPReYZThnRdS8ugUcPVH-lDgpugS9hS2RvEudB7lvt4k8QlFqPIdCKTjCpNg9NiomvXu0LblcSQG9yt7SvRciBLnOcjS8XQ_Lvahwm7cyC7O9Ev5APbJytjc_jsY9K94IvocitLjK9HA9IuErPvHLijhm2RO9hBiePHZTdrha7ca9DxQzPWjb-zd1CDm7FJ2AvTeXorYgADgTQAlIbVABKnMQABpgJP0AOuQgC8zP6Ovt-AcpAOwIIPy66f8B9ADoMwAODPDD1hoO_we8D_WyAAAAPhYQA-MA32HTvvzd6O3fB73lFCR_DwP348IbGPXGzPrqC-BJF1FEAOgK4god1CcOISEMIAAtHPUyOzgTQAlIb1ACKq8GEAwaoAYAAABCAACowQAACEIAADjCAADIwQAAeEIAADRCAAAQwgAAgMIAAEjCAADQwQAAHEIAAHBBAADAQQAAwEAAAOBBAAAAQAAAZMIAAPDBAAAAwgAAhEIAAHDBAAD4wQAAsEEAAIDBAACEQgAAEEEAAGDBAACAPwAAoMAAAFBBAAAQwQAAMEEAABRCAACgwgAAEEEAAMDAAABMQgAAUEEAAAAAAABEQgAAnsIAAPBBAAAgwQAAZEIAAMDAAAAMQgAAcEIAACBCAAAgwQAAUMEAAFTCAAAMwgAAMEEAABTCAADgQQAAQEAAADDCAACeQgAAMEEAAIRCAADwwQAAKMIAAI7CAACAvwAAAMMAAKDBAADwQQAAoMIAABDBAADgQQAAKEIAAEDCAAAEQgAAgEAAAIjCAAAgwgAAUMIAAGRCAABUwgAABMIAALZCAACAwgAA-MEAAEDBAABMQgAAUMEAAMDBAAAQQQAAQMAAAIDBAACiQgAACMIAAETCAACYQQAAcMEAAIDCAAAwwQAAMEEAAHBBAAAAwgAAQEIAAIhCAAAQwQAAAMEAAIhBAACwQQAA_kIAACjCAAD4QQAAAEIAAIRCAABgwQAAoEEAAGhCAADwwQAAEEIAALjBAAA8QgAAoMAAAEBAAAAMwgAAgEEAALDBAAAkwgAALMIAAIzCAAAsQgAAIMIAABTCAAAEwgAAqMEAAIBAAAD4QQAAMMIAAABCAAAUQgAAYMIAAODAAABQwgAAEEEAAIBAAAAgQgAADEIAAGDBAACwQQAAQMAAAIjBAAA4QgAA6EEAACDBAABQQQAAWEIAAExCAACoQQAAuEEAAGTCAAAwwgAAZMIAADTCAACAwAAAgkIAACxCAADQQQAAsMEAACDBAADwQQAAKEIAADBCAAAYwgAA4EAAAFBBAACAwQAAUMEAALBBAAAwQQAA4MAAAPDBAABAwQAA_kIAABTCAADIwQAAHMIAAKDAAAAQQQAA4MEAAMBAAABAwAAALEIAAEDAAAD4wQAAJEIAAMjBAACAPwAAAMIAABRCAADgQQAAIMIAAJjBAABAwSAAOBNACUh1UAEqjwIQABqAAgAAUD0AAAy-AAC2PgAAUD0AACS-AABAvAAATL4AAFm_AABEvgAALD4AAMI-AAAcvgAAqD0AAJ4-AACIvQAA1r4AAFw-AABwPQAAcD0AAAM_AAB_PwAAoDwAAIA7AACYvQAAyL0AAIC7AAAcPgAADL4AADC9AAAcPgAAFD4AADS-AABMvgAADz8AAKi9AAB8vgAA6L0AACS-AACGvgAAPL4AAFy-AACYvQAABD4AANi9AACuvgAA6L0AAOg9AABwvQAAqD0AAAy-AAAUvgAAkj4AAAQ-AABEPgAAmr4AAOC8AAB_PwAAED0AAJg9AABkPgAAgLsAACy-AABEPgAAfL4gADgTQAlIfFABKo8CEAEagAIAAEA8AAAsPgAAED0AADG_AAAcvgAAZD4AAKI-AADgPAAALL4AAAk_AABkPgAAFL4AAFw-AACovQAAiL0AABA9AAAsPgAAaT8AAKg9AACaPgAAmL0AAEC8AAAcPgAAuL0AAEA8AAC4PQAAoDwAADQ-AACYvQAA4DwAAEC8AABQvQAA6L0AAFy-AACAOwAARL4AAHA9AACAOwAAXL4AAGS-AAAkPgAA4LwAAKi9AAC4vQAAED0AABw-AAB_vwAABL4AAJi9AAAcPgAAhj4AAII-AABwvQAA6D0AAOA8AAAwPQAAiL0AACw-AAAsPgAA4LwAAMY-AABAPAAAoDwAADy-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=lUBv90rhOGE","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8358506517498163262"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"720970238"},"8946883806640137963":{"videoId":"8946883806640137963","docid":"34-9-9-ZDA83E40D74FED68D","description":"is so commonly minimized by physicists and engineers....\" In particular, on d'Alembert's paradox, he critizises the lack of stability analysis of potential solutions: \"The concept of a \"steady...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2954431/a34f880532f95c8d8f1111bfaf33596e/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Py6xNgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1tpLg8wB4AQ","linkTemplate":"/video/preview/8946883806640137963?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff on Modern Fluid Mechanics","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1tpLg8wB4AQ\",\"src\":\"serp\",\"rvb\":\"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_EzOCBCQBgAQrKosBEAEaeIH5D_T-Av4A7v4ABvgD_wE2AgL_DgYIAPMP9vQDAQAA8vv0BQwAAAAD_e39-gAAAAQB-QXy_gEAEPsJBAQAAAAJEAH-AwAAAPgC_fr_AQAA_PcC_wP_AAD8DQINAAAAAPsECgz9AAAADvoGBAAAAAAA7_oOAAAAACAALY76yzs4E0AJSE5QAiqEAhAAGvABfw35AZkDFvwwF9cB0BYEAAD5EP_9MdQA_SnoAOvo3AFW4dMA6f4AANjdJAHaD-gACur7_8zj_wAw4Nn_L_ThAAMnCAH0w_cB6Pj8ABrE6QD1CeX_AfTs_fTuEAAz7TsAATnj_g_59P0CDhwCIx4LAuEkGAL65v4GDAbbCOj0OgDw9gUDERPSAQ_y9voGIe78BDYm_-cHHgP1E_gAIh8FAQ3sCf318jP8BBsrAw3t3gPK5_4F8vclAAQy8g_77wD4HOEdAQbP__jO-uP8HO7fDAoN8vEZ6ez77SDtC_IH7PjiI_Xy4Pn9-fMUGwfv3gUCIAAt9YoaOzgTQAlIYVACKs8HEAAawAeQvca-4o6svS5BAT03Hmc9vWyQPU78R73NwKK9MyYTvZQ_KTyd2mm-el11PC2LMz0ZnQI9WpiqvSxnbzwUlEI-RkUcvXPoALxYx9G9DLyJPGwDfL3nVni-AlrEvHhSEbrkhzq-gn0qPYawNzvObk29_NrfvKWZgz27nf09hxSkuxbfMD28weE8yTC4uy4tFzy3f4W959PZvNCP0DpEac895MQyPHGqNbwM8qk92QF8PF_qqbuvIhO-ERRkPbLd2js7BEk9YRHovI_dB7zK1Zk9adQyvMKNb7xFtw6-5t2CPQ7Mm7yn2bI8lIZ6vUKhs7ut5H49bcLCPWlSL7xi62M99JjSPAyyZbwZHRA-3VycvSkJ3zmy5J47DKTVPIVN0zy7sQW9rixxvY-3hbrHEve6fm4IPfVG8zsgooc8-aRuPaBIgbzJ76M8m9xZvXcsmbsnAJq8OLTCPVrolDxrMp69yjPPvaGGDjxTo5E98XsAPRIuiTx1cgu9l8kwvTMkn7tMVRq-xIgvu-69LrxmNE28yZhWPVfEejy_xyo8XZervBkyaLzUKvo9KxuxvP93V7re6EO9jNBUPZ3Vwrxp5ua7WF2ivCNTmTvCTwy-U1zVvYaIAjt1EEo9NC9HvcRH3bty3M68rWs0PHuTkTsCADa8hX2WvJ_HLLtQq-i9rhBWvAhafTuIjei8R0ELPCoaybkeGKM7iZKFvSCjADnqFNq8O-2fPFzqvbrFPRY9tFn1PXD9NLpBmhG9WTVjvTNIB7n-5zq9BstCPSHHHDrTREQ80zQDvZtAWbns0xu92TtIPNbC7DadB4G9U0WKO3utC7nX3yI-iuxePQPnZTkc1g89WmKlPHBd5bm8TLO9MhRBvNfZ7jhO6vA8k2iPOuKFITfx7ZK99xnMPYldlrgvMyy-EWSuPSbsvDl6cp09HU2BO35C5jf4wPO8IS1kPVCcuzhBIx09SS_qPeRC7bgytds8eBIsvTheBDmgR5Y9pu-lvTA_yriohPE8uZ2HvP7HgjWTIQK95I3EOza85Lb1_0M7x3lkva9jtbdveZO7czA2PbTFkLfJOKu9_JQ-vVOU-7eJtuO8rI-HvBTa_ThiL5Q9rWkevD913LU5fyu6IwqyPVSVTjiZcm8956MxvYAAHriED6U7a-1CvQaOk7hNERC-ovCZPCBozrd7cHI9bklzvZtZvzdk34q9S2UhvPHacrjMDWG9v0AVvRIXCrkRG6y8zC85vQYVfrhuA429J2muPb_3FjcoNaq8M9wgvRWSTDYgADgTQAlIbVABKnMQABpgHO0AOAX297DcG8Dav9gY4DMhFxy_0_8iMf_kKt_85Q330kbP_xz1tvamAAAACcIECyAAz3_KxuoQByg1-PfRED1yGP4CBg0pBMf6Br_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-MEAAChCAABQwQAAMEEAAADBAACIQQAAIMIAALDBAABAwAAAWMIAAKDBAAAkQgAAoMAAADTCAAAMQgAAgEAAAERCAAA4QgAA4MEAAI7CAACgwQAAAEEAAPhBAABkQgAABEIAADDCAAAAwgAAkEEAADxCAABgQQAAQMEAAIxCAACwQQAAOEIAAFDBAACIQQAAJEIAAMjBAACGwgAA4EAAAHDBAACAQQAA4EEAACTCAAAAwQAAfEIAAKjBAAAAQgAAYEEAAFxCAAAwQgAA4MAAAADAAAAAwAAAQEAAAHBCAACAQAAAJMIAAI5CAAAQQQAAAMAAAKDAAAAMwgAAQEEAABDCAADgwQAAAMIAABDCAABAQQAAqEEAALBBAACAwgAAWMIAALjBAAAMwgAAIMEAAIDAAABAQAAABMIAADjCAAA8wiAAOBNACUh1UAEqjwIQABqAAgAAFD4AAIg9AACOPgAAJL4AAAQ-AABwPQAAFL4AAEm_AACWvgAA-D0AABQ-AABAvAAA4DwAAMo-AADovQAAZL4AAOg9AACoPQAAuD0AAKI-AAB_PwAAML0AAIA7AABQPQAAhr4AADS-AAAkPgAARL4AAAy-AABkPgAAuD0AACS-AABMvgAAoLwAAKg9AAAwvQAAMD0AADy-AAAcvgAAXL4AAEy-AACgvAAAiD0AADC9AAD4vQAA-L0AACQ-AACAuwAA4DwAAHy-AAAEPgAA4DwAAIg9AACAuwAALL4AAHC9AAA7PwAABL4AAHA9AACIPQAAEL0AAIC7AAAsPgAAgDsgADgTQAlIfFABKo8CEAEagAIAAOg9AADIPQAANL4AABu_AAAEvgAAyD0AADA9AAA0PgAAZL4AAII-AAC4vQAAjr4AAFC9AACSvgAAiL0AAHC9AABAvAAAJz8AAPi9AACSPgAAuD0AABC9AABAvAAAqL0AADC9AACgPAAAML0AABC9AADIPQAA-D0AAHA9AABwvQAAqL0AABy-AAA0vgAAiL0AAJg9AACAuwAAbL4AAFA9AACAuwAA4DwAABw-AACgvAAAcL0AAJI-AAB_vwAAqL0AAGy-AAAwPQAAML0AAOA8AACiPgAAiL0AADA9AABQvQAAgDsAABw-AAAQvQAAMD0AAIA7AAA8PgAAcD0AAOi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=1tpLg8wB4AQ","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":720,"cheight":720,"cratio":1,"dups":["8946883806640137963"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3657731600"},"17244130658240542329":{"videoId":"17244130658240542329","docid":"34-4-9-Z1C2CAEE39DA3F132","description":"We introduce a famous theorem of G. Birkhoff from the 1930's, where he establishes a fundamental connection between general partially ordered sets (posets) and general distirbutive lattices (which...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2431678/51b63ee2ecab6e5bcd5d906c70b062b1/564x318_1"},"target":"_self","position":"6","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dv0-qu72Uu4U","linkTemplate":"/video/preview/17244130658240542329?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoffs Theorem for lattices and D5 mutation and firing frames | Dynamics on Graphs 27 | Wild Egg","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=v0-qu72Uu4U\",\"src\":\"serp\",\"rvb\":\"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-_wEA9f4KDAIG_AEGAvL19v_-AOz9AQUJAAAAAfkA9_kBAAAJ-_4HAQAAAP4J7wL3_gAAGwL79QMAAAAW-QAN-AAAAAoG9wn-AQAABQcEBwP_AAAH_hQEAAAAAAAK-ggAAAAADBD_AgEAAAAL_PrtAAAAACAALdgy1Ds4E0AJSE5QAipzEAAaYBwGABwCFgW47wfl5_TcI_MIEAMYyP0ADM8A5_8I3wYLxtEkDv8l1xX4uAAAACT09w7uAMhfNNjTDx7qCg7V9gkCfwgV-Q_4AvD20unuGg8X2Qk1PAC9AfgAJsvtIABnCSAALQ-qQjs4E0AJSG9QAiqvBhAMGqAGAABQQQAAkEEAAGBCAAAUwgAAuEEAACBCAAC4QQAA4MAAAEzCAAA0wgAAgD8AACBCAAAMwgAAsMEAABhCAAAAwgAAikIAAGjCAAB8QgAALMIAABBCAAAUwgAAMEEAAKRCAABMQgAAEEEAACjCAACgwQAAQEIAAOhBAAD4QQAAukIAAJjCAACgQQAAXMIAAMBAAACgwAAA4kIAAIDBAABAQAAAAEAAAIC_AACAQAAADEIAAODAAAAswgAAEMEAADzCAACGQgAADEIAADzCAABAQQAAMEEAAABBAADYQQAAyMEAAJ7CAAAQQgAATEIAADRCAACEQgAAkMIAANBBAABwwQAAlEIAAIA_AABAwgAAlsIAAIhBAACAQQAAQMAAAIZCAACAwgAAIEIAABBCAACIwgAAXMIAANDBAABwQQAAREIAAMLCAADwQQAAQMIAAPBBAAAsQgAADEIAAKDAAACQQQAAikIAAGDBAACgQAAAnkIAAJhBAABkwgAAwMEAAMbCAACAvwAAwEAAAJ5CAADAwQAAFMIAADxCAAAwQQAAoMEAALDCAAD4QQAAQMAAAKBAAAAwwgAACEIAALhBAAAAQAAAEMIAAKjBAAAgQQAAgD8AAMBAAADowQAAyMEAABjCAACAPwAAwMEAAGDBAAA8wgAA4EAAAMDAAAAYQgAA2MEAAKjBAAAYwgAASEIAAAzCAABswgAAgL8AAABBAACAQQAAJEIAAIA_AACgwAAArMIAAIA_AAA4QgAAIEEAAEjCAACQQQAAqMEAAGjCAABAwQAAYMEAAEDAAAAgwQAAkEEAAMBAAABwwQAAMEEAAKDAAACqwgAAfMIAAHDCAABsQgAAwEAAAMhBAABwwQAA6MEAAADCAAAYwgAAYMEAABRCAABAQAAAmMEAAMDAAAAUQgAATEIAABBCAADAQQAAMMIAAAxCAACIQQAAgMAAACxCAAAwwgAAgEEAAGTCAACoQQAAPEIAAODAAACAwQAA2MEAAADCAADQwQAAfMIAAPjBAAA4QgAAyMEAABhCAAAoQgAAQEEAADBBAAC2wgAAUMEgADgTQAlIdVABKo8CEAAagAIAAIA7AACovQAAqD0AAEA8AAAQPQAAgj4AAIg9AAAZvwAAgr4AALg9AAAkvgAAUD0AALg9AAD4PQAAPL4AAPi9AABcPgAAMD0AALi9AADSPgAAfz8AAOg9AACAuwAAcD0AAIC7AACgvAAA-D0AAGy-AAAwPQAAJD4AAMg9AABwvQAAPL4AAOi9AADIPQAAMD0AAGw-AABAvAAAVL4AAMa-AAAwvQAA2D0AAIA7AABwPQAAgDsAABA9AAAkPgAALL4AABC9AAC2vgAAoLwAAIg9AAAsPgAA-D0AAGS-AADgvAAABz8AAKC8AACoPQAALD4AACy-AABEPgAABD4AAJa-IAA4E0AJSHxQASqPAhABGoACAABkvgAAqD0AADA9AAAhvwAA2D0AAKC8AAAkPgAAML0AAIa-AADGPgAA6D0AALi9AACYvQAAXL4AAMi9AAAQvQAAoLwAADs_AABwPQAAkj4AALg9AADIPQAAgDsAAPi9AABQPQAAyL0AAOC8AAAkPgAAQDwAAEA8AABQPQAA6D0AAPi9AABsvgAAQLwAAFS-AAA8PgAAND4AAIa-AAAQvQAAND4AACS-AAAUvgAA6L0AAKg9AABwPQAAf78AAMi9AACIPQAAFD4AAFQ-AACAOwAA4LwAAKC8AADoPQAAQDwAADC9AAD4PQAAgDsAAJg9AAAwPQAAoLwAAIg9AADgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=v0-qu72Uu4U","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["17244130658240542329"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6444748488936552541":{"videoId":"6444748488936552541","docid":"34-11-7-ZDBFEF63C87DFE441","description":"This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Birkhof...) 00:00:43 1 Intuitive rationale 00:01:30 2 Implications 00:02:29 3 Generalizations 00:02:58 4 See also...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/909775/0f63a98a2156e752c062848219b66d7b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/td7UpQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dl1LLZth62mc","linkTemplate":"/video/preview/6444748488936552541?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff's theorem (relativity) | Wikipedia audio article","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=l1LLZth62mc\",\"src\":\"serp\",\"rvb\":\"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_E8IBggQkAYAEKyqLARABGniB-vr6CwP9APn_9voGAwAB7QMA9wr_AAADCwMD_QT-APkNA-wAAAAA5w_-_fkAAAABCAL-8f4BAAD57voCAAAAEwn3_fYAAAD0BxED_wEAAPwI_gcE_wAAGAX-BgAAAAD1BP4A__8AAAUCCAkAAAAAAAQC_Az9Av4gAC1gxss7OBNACUhOUAIqhAIQABrwAUUEBwCOEP_5f_X_AQAL6wDbLfUAD_ECAP0AAgAg8w0AEe0OAOr_Cv_uDAEABQD8__UJCP8LBPj_-_0Y_wnRCwEVAgAA9OgDAPMF-wAO-vsA7eoZ_ujRAQHw_gv_3QMaABb36AAVH_8BB__zAOrw_wENEuEC_QEEANsE8wALBvX-A-sLAfvuCQIQARgB-_QKBAHp-QEABg4B8Q8LAv8AFf7oCPD_CgUW_vYNAgQLAvP-Cun-_vsSDQj7-en5-AAEAQP9DPwX9gX48gP99_f3CP8HAef69_gIBfDtAAMECAYH6O7-8-74AgLx9gP--fwQACAALZN5bjs4E0AJSGFQAipzEAAaYDH8AERYI-rX7VLitP3SOff-Bgr0wNP_yc7_8DL9_d3fsNs5-_8RBs7lmwAAAAYGJgvuANZ-1rvWBgMu--m89ykqf1ZV7N4aOha21c8K1KnZAhEbKwCY78DUDtcT5hEaMCAALTByEDs4E0AJSG9QAiqvBhAMGqAGAABwQQAAJEIAAJBBAACYQgAAgsIAAAzCAAC-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_AACoQQAAwEEAAIhBAACAPwAAEMIAAGxCAAA8QgAA2MEAACRCAADMQgAAYEEAAGhCAADwQQAA8MEAAAxCAAAUQgAAREIAAKDBAABAQgAAEMEAAMjBAABQwQAAAMEAAIA_AACAQAAAmEEAABhCAABcwgAAEMIAAOBAAACYwQAAqkIAAHBBAACAPwAAFMIAAI5CAADoQQAAAEEAAFTCAADIwQAAUEIAAAjCAAAwQQAABEIAACDCAACoQQAAIMEAAKDBAABQQgAAoEAAAMbCAABQwQAAOEIAALBBAAAIQgAANMIAALjBAACQQQAAAMEAAKjBAAAUQgAAcMEAADTCAABIQgAA8MEgADgTQAlIdVABKo8CEAAagAIAAKK-AACovQAAUL0AAHA9AADgvAAAPD4AAIC7AAATvwAALL4AAFw-AACYvQAAgDsAAOi9AACuPgAAgr4AAJ6-AABMPgAAcD0AAJo-AAATPwAAfz8AAFS-AAC4PQAA2D0AAIq-AACgvAAA6D0AAPi9AAB8PgAAvj4AABA9AADGvgAAHL4AAHA9AAAQvQAAcL0AAKg9AACOvgAAyr4AAI6-AABQvQAAQDwAAFQ-AAAwvQAAhr4AAEC8AACaPgAAgr4AAFS-AADavgAAUL0AADQ-AACyPgAAfD4AABy-AAAQvQAANz8AADA9AABMPgAApj4AAOA8AADYvQAA4DwAAI6-IAA4E0AJSHxQASqPAhABGoACAADgPAAAqD0AADC9AAA7vwAAJL4AAHC9AACAuwAA6D0AACy-AADWPgAATD4AABS-AACyPgAABL4AAFw-AACgvAAAjj4AADU_AACIPQAAdD4AAPi9AAAUPgAALD4AAAy-AADgPAAAPD4AAHC9AACgPAAAML0AAMg9AABAvAAAqL0AAIA7AAAQvQAALD4AAIi9AADgPAAAkj4AAGy-AACSvgAAgLsAAAw-AAAMvgAAgLsAAFC9AADYPQAAf78AAAQ-AACmvgAAHL4AAAw-AAAQPQAAhj4AAHQ-AABsvgAAmD0AAOA8AACovQAAHD4AAJq-AAAkPgAAmD0AAFA9AABEviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=l1LLZth62mc","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":720,"cheight":720,"cratio":1,"dups":["6444748488936552541"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2993179798"},"6530308025019663371":{"videoId":"6530308025019663371","docid":"34-3-5-ZF383D05422FC9E85","description":"This is an audio version of the Wikipedia Article: https://en.wikipedia.org/wiki/Ergodic...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4003107/8ff36c1e681f18e6088e2000ddeb1b1f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IsNZIwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dff8jRlkjDTQ","linkTemplate":"/video/preview/6530308025019663371?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff's ergodic theorem | Wikipedia audio article","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ff8jRlkjDTQ\",\"src\":\"serp\",\"rvb\":\"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_E8APggQkAYAEKyqLARABGniB-vr6CwP9AOMN-QD7_wIA1_4G-v0DAwADCwMD_QT-AAH4APf5AQAA8Bb-_wQAAAD-A_8R9_4BAAj89f33AAAACg37AvkAAAAIB_8C_gEAAP3_AgcE_wAAE_QDAQAAAAD5AfoL_wAAAPwDDQ8AAAAAA_H7_AAAAAAgAC1gxss7OBNACUhOUAIqhAIQABrwAWgMFAGZBu75fxP5ANv7AwGmGAf_CPH5ABMBAgAsAwQAEOLjAPYW9wDaDeH_BgDsAPcfCQAXAfIA_QgW_w_06wH8-QYA3_32AAzs_gD_DgkAA_cL_vLyIAEKAxAA9fUOAA7-4v0U_vgD_-7cAPwT4QEJAPED5AsJ_OUH6f8EBvz_Ce8m_w3x_Qb6DQ4H-BMGBQP__fwB_An-9REa_gv9EwPZC_P--QgI-wEI_f_4A-36CfsL-QMNBP_7D_j-8RD5-AbzA__0EAj59AwQBRD8DvgB_gEA6gn_AgX9Bfb3_BQD8-kA-fMAAfoBAf4AEP75DCAALRG9Xjs4E0AJSGFQAipzEAAaYCoDAHdFMditKjW6uAfREevp-BDyq7z_2MX_Chrj5uQPv81TJv8G7cn6lwAAACL7DCf4AMF_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_AACQQQAAsMEAAMhBAAD4QQAAVEIAAIC_AAAMwgAA-EEAAAAAAACgwAAAsMEAAPjBAAAIQgAAIEIAAPhBAABUQgAAIEEAAIC_AAAwwgAA8EEAAJxCAAC4QQAA4MEAAIDAAAAwwgAAAMAAAIA_AACawgAAQEEAAMDBAABAwgAAAEAAAHDBAAAUQgAAyMEAAABCAAAUwgAAFEIAADTCAACYwQAAQEAAAABCAACgwQAAiMIAAIrCAABAwgAAIEEAAKBBAACIwgAAwMAAAGhCAAAAQQAADMIAAIDBAAAcwgAAPEIAAOhBAAAQwgAAKEIAAKBAAACKwgAAuMEAABzCAACIQgAA2EEAAMjBAABUQgAAQEAAAJzCAAC4QQAA2MEgADgTQAlIdVABKo8CEAAagAIAAN6-AABAPAAAcL0AAFC9AAAQvQAAjj4AAPi9AAApvwAANL4AAII-AACoPQAAuD0AAKA8AACWPgAAoLwAAO6-AAC4PQAA4DwAANI-AAAXPwAAfz8AAGy-AACmPgAAQDwAAJa-AADgPAAAFD4AAKi9AACKPgAA3j4AALg9AACqvgAAFL4AAJo-AAAcPgAAoDwAAFC9AADovQAArr4AANK-AACYvQAA4DwAAOg9AAAMvgAAkr4AAHC9AACKPgAAhr4AAGS-AADevgAAVL4AAAQ-AACaPgAALD4AAOi9AACgPAAALT8AADC9AABMPgAAwj4AAOC8AAC4vQAA6D0AAJa-IAA4E0AJSHxQASqPAhABGoACAADYPQAAcL0AABC9AAAhvwAAFL4AAFA9AAAsvgAAsj4AAKK-AADSPgAAcD0AABy-AADmPgAAyL0AADC9AAAwPQAAsj4AAGU_AABEPgAA6D0AAMg9AAA8PgAApj4AAFC9AACYvQAAdD4AAKA8AAD4PQAAUD0AAEw-AABwPQAA-L0AAJi9AABAPAAAoDwAABS-AABMPgAAgj4AAIa-AADWvgAAVD4AAAw-AABAvAAAyL0AACQ-AACWPgAAf78AADA9AAC2vgAA6L0AADw-AABcPgAAmj4AAIo-AAAcvgAAyD0AAIC7AACIPQAAbD4AAHy-AACSPgAA-D0AAGy-AADqviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=ff8jRlkjDTQ","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["6530308025019663371"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11197919750968190080":{"videoId":"11197919750968190080","docid":"34-3-10-Z1BB49C7B6AC580B9","description":"Birkhoff's Theorem as explained by a mathematics masters student. Slides and audio of Sandra Ose presentation at University of Latvia 78th Conference. In general algebra, a well known theorem...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4562514/481ea9737ef0192756e07dc35cab0c6c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/8JuHcwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_-lV8wRODBo","linkTemplate":"/video/preview/11197919750968190080?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"A Reading of Birkhoff's Theorem","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_-lV8wRODBo\",\"src\":\"serp\",\"rvb\":\"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_Q7-AgD7_gL_AwT-AeQA-f38AAAAAwYD-QUE_gD1AwECBwAAAO8JAAEAAAAA_gnvAvf-AAAGBQX7BAAAABgICgv8AAAADAH5Agj_AQEE_gYKA_8AAAX-AwQAAAAAAAD6BQUAAAAPDgoCAQAAAAD19P4AAAAAIAAt06TaOzgTQAlITlACKoQCEAAa8AF_AvwC1CYR_wDd-wC6D9kAoQgi_xce5wC-DxABsAL5_xT56P_7CvEB7v0UAdYQ9gAN5dkA5gnrACnyAP8wARIA5QUcASvVDQEQEhgBGwkQAPUaCP_qA_T-8gwF_yAJEP8HCPL_-QQL_C_8BAIo3R4B6vwTARX7Cf786vL-__4FBfn60_4dDPYEAgIF-_n7EPzgC-wCCwT1-wcl7AD1G-r8_u8dBPcQAAEvDP8J8_jlAPXT6P0GDewC_fsTCPsO8wMFDBP72sT__Pcd_Af61Q8B2QAI-wQB9Qr37ggOG9f__QTx__cCAQoB3yQT_fEU9gEgAC1mvTw7OBNACUhhUAIqcxAAGmAV_AA3DEPn4-kYz-fcCv7iEg4KEbXw_-ng_99CCw_dBpu7KvD_H8wM5qQAAAAS6uEmFwDVfB6txi314czczsFBIH8jMeLO0BQMyfXWBu7m1hMlLn0A2em3-ivxHhALLRogAC3sRhk7OBNACUhvUAIqrwYQDBqgBgAAYEEAABBBAADQQQAAgMEAADBCAAAUQgAAkkIAAADCAAAwwQAA-MEAAEBAAADIwQAAuMEAAKjBAABQQgAAEEEAAGhCAABIwgAAqEEAADDCAACewgAAoMAAAJzCAADYQQAAGMIAAIDBAABAQAAAtMIAAEhCAACgQAAAKMIAAHxCAAAQwgAAgEEAAHjCAACAQQAAnkIAAGRCAADAwAAAzkIAAIA_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_AAAoQgAAIMEAAEDAAABMQgAAqMEAABRCAACwwQAA4MAAAADAAABAwAAAQEAAAPBBAACYQQAAMMEAAKDAAAC-QgAAgEEAAEBAAAAwQQAAMMIAABjCAABgQQAAmMEAAAzCAABAQgAAwEEAAADAAACQQQAAoMAAAOhBAACoQQAAqEEAAIjBAADAwAAA6MEAAKjBAAAQQQAAPEIAAABCAADIQQAAIMIAAABAAADAwQAAwMEAAHjCAACwwQAAqMEAADxCAABEwgAATMIAABxCAABQwQAAIMEAAExCAACawgAAQMAAAGxCAAC4wQAAQEAAAIzCAABAwgAAMMEAAAzCIAA4E0AJSHVQASqPAhAAGoACAABwvQAA-L0AAEQ-AABAPAAAgDsAABQ-AABAvAAASb8AAAy-AACoPQAABD4AAKa-AACoPQAAhj4AAJi9AABsvgAAFD4AADA9AACIPQAAAz8AAE8_AADYPQAA2D0AAOC8AAA0vgAAML0AAGQ-AAAUvgAAED0AADA9AAA0PgAAwr4AADC9AADOPgAAgLsAAIK-AAAsvgAAPL4AACy-AABwvQAAXL4AAOC8AAAsPgAANL4AAN6-AACAuwAAND4AADS-AADYvQAAlr4AAAy-AAB0PgAATD4AAPg9AAC4vQAA6L0AAH8_AACAOwAAuD0AAOC8AAAcvgAAMD0AAEA8AAA8viAAOBNACUh8UAEqjwIQARqAAgAAqD0AADA9AABAPAAAM78AAIK-AACGPgAAoj4AABQ-AAA8vgAA0j4AADQ-AAA8vgAA-D0AACS-AABAvAAAgDsAAFQ-AABBPwAAuD0AAMI-AABMvgAA4DwAABA9AABwvQAAgLsAAIi9AADgPAAAqD0AAPi9AABAvAAAgDsAADA9AAAcvgAAHL4AAIg9AABEvgAAHD4AAFQ-AACmvgAAEL0AAOA8AADgvAAAHL4AADC9AACIPQAA-D0AAH-_AABAvAAA4LwAAMg9AACOPgAA2D0AAEC8AABwPQAAqD0AABA9AACAOwAAND4AAOg9AACgPAAAtj4AALg9AACAOwAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_-lV8wRODBo","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["11197919750968190080"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2086148607"},"6674576082013026970":{"videoId":"6674576082013026970","docid":"34-5-16-Z8BBA837B6E997346","description":"and during his prime he was considered by many to be the preeminent American mathematician. = Image-Copyright-Info= Image is in public domain Author-Info: Unknown Image Source...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/468244/ac601c9401b598e5703096cdcf7ad160/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/yTZiEQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DzsXyjJaUSi8","linkTemplate":"/video/preview/6674576082013026970?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"George David Birkhoff","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=zsXyjJaUSi8\",\"src\":\"serp\",\"rvb\":\"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_E4sDggQkAYAEKyqLARABGniBBfgBA_8BAOsFB_0DAAAA2fr-AP0DAwDxAgjyAwEAAPQB9gQBAAAA-wX1_P8AAAD5B_rz9v4BAA0EAf4EAAAAFxD9DvwAAAAD-_0B_gEAAAfz9wwD_wAADQkBBQAAAAD79gQEBAAAABL__QUAAAAAAvfz8wAAAAAgAC2QK9c7OBNACUhOUAIqhAIQABrwAX8k5gOkHvP7S-3vANcSAwDG-f8A5QL1APEkFP_HCf4BKvHcAef-3wD12Az_5e3J_yrd2f_-FQsAM__s_xwA2gELBhMAN_TmABH87AHtDA7_4woJ_gH27_7n-AIAAhMcAQkg2v8LCeABJxkiAhvq7AH_FhIECRXoAvgO8AYEARYC_AkCA_oOA_z1_PkGHxXnBQ1CBQDeBPD6DvD4ABoCEwPmBRkDAxMkAgEE6wP78uv_6eTjAAwI_wgzGwEC7uXXATHzAfYl4An53jAIBgELGgMMG_sIDRIFBOUiBQcY9gXx6tYAAej1AgP0IAD54Qr0_yAALZcgNTs4E0AJSGFQAipzEAAaYAv_ABYZDQ3w3vDWvdgf_ugYDjgm0tYAEiMA2TjZwwEG3rk54QDbucIZrwAAAB3v-_8LALdo2djV_QAl-wi10ET-fxwg0_P-F9THBbgL7tG44V0qDADu_8PtEez_9-YuNSAALTkrIzs4E0AJSG9QAiqvBhAMGqAGAACAPwAADMIAABDBAABUwgAAUEIAAEjCAADIwQAAQMAAAPjBAAAAwAAA0MEAAKjBAACAwgAA4MAAAJJCAABAwQAAwMAAAMhBAACOwgAA0EEAAIBBAAAAQQAANEIAAOBBAACwQgAAgEAAAJDCAACAwgAATEIAADBCAACgQQAAoMAAAChCAADYwQAApMIAAFRCAAA8QgAAwEIAAJjBAAAUQgAA2MEAAFRCAAA0wgAAEMIAABBBAADIQQAAuEEAAEDBAAAcQgAAcEEAALjBAAAcwgAAwEAAAChCAABAQAAAAEIAAKLCAABoQgAAgEEAAJ5CAAAAwAAAoEAAAKDAAACAwQAAMEEAAHDCAAAUQgAA-MEAAMjBAACAQAAAqMEAAJBBAACgwQAApEIAAJjBAACGwgAA6MEAAEDBAAAAwAAAPEIAADjCAACQwQAAmMIAAJBBAACqQgAAYEEAAJhBAACOQgAAfEIAAK7CAAAAQQAA_kIAAMxCAABAwAAAgMAAAGDBAAA8QgAAoMAAADBBAAAQQQAAAMIAAExCAADgQAAAEMEAABzCAAAYQgAAwMEAABzCAACAvwAALEIAAKBAAAAQQgAAuMEAAATCAABcQgAAXEIAAMDAAAAUwgAA2MEAAKDAAAAAQQAAAEAAAADCAABQwQAAZEIAAEDBAADIwQAAQEEAAEDAAABgwQAAYEEAAJDBAABMwgAAPEIAALBBAAAwQgAA2EEAALDBAAA4wgAA4MAAAIBAAABwwQAAzkIAAPjBAACIwQAAyMEAABTCAACIQgAAAEEAANjBAACIQQAA6EEAAIZCAACgwQAAKEIAABRCAABAwgAApMIAAHBBAACAQAAAKMIAAKBAAACcwgAAHMIAAIA_AAAAQgAAREIAAIDAAAAYQgAAQMAAAPjBAADAQAAAqEEAAIbCAABEQgAAoMEAAPBBAAAAwQAAgkIAAFDBAABAwAAAUMIAAAxCAAAQQQAA4MAAADzCAABwwQAAiMEAAABAAADAQAAANMIAAEjCAAAAwQAAHMIAAJjBAACAwAAAgD8AAI7CAABwwgAA0MEgADgTQAlIdVABKo8CEAAagAIAACS-AAD4PQAAij4AAIo-AABwPQAAED0AAAy-AAD-vgAAhr4AAGQ-AAAMPgAAML0AAMg9AAD4PQAAcD0AAHS-AABEPgAAUD0AAOg9AACyPgAAfz8AAOA8AAAwPQAAqD0AAEC8AAAUvgAAqD0AALi9AAAMPgAATD4AAIA7AABQvQAAyL0AAI4-AADYPQAAQLwAAIA7AACCvgAAHL4AAFy-AAB8vgAA4LwAAMg9AACAOwAAVL4AAFS-AABAPAAAMD0AAFS-AAAMvgAA-L0AANg9AABwPQAAPD4AAAy-AACAOwAAEz8AAKC8AAAEPgAAmD0AAMi9AADYPQAAPD4AAJi9IAA4E0AJSHxQASqPAhABGoACAAAwPQAAND4AAIC7AAANvwAA2L0AAEC8AACIvQAARD4AAEA8AACmPgAAgLsAADS-AAC-PgAAcL0AAOi9AACIvQAABD4AAEc_AAAQvQAApj4AAPi9AADgvAAAHD4AAFy-AACgPAAAyD0AAEw-AAD4PQAA6D0AAHQ-AABAPAAAED0AAFy-AADIPQAA2L0AAEy-AAAEPgAADD4AAPi9AACgvAAABD4AAEy-AAA0vgAAqD0AAGS-AAD4PQAAf78AAOC8AAADvwAAkj4AAKC8AAAcPgAAUD0AADQ-AABAPAAAED0AAFC9AAD4PQAAQDwAADC9AADYPQAAmL0AAEA8AACeviAAOBNACUh8UAEwCTgBSgBSCQgPEJICGAAwAWAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=zsXyjJaUSi8","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6674576082013026970"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"906127040"},"15003060593273713014":{"videoId":"15003060593273713014","docid":"34-4-6-Z0B02EC1A9124C97F","description":"If you find our videos helpful you can support us by buying something from amazon. https://www.amazon.com/?tag=wiki-audi... each add up to 1. -Video is targeted to blind users Attribution...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2755311/308485b46dcbf52994a4b6c019644c89/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/bSNObAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXfGPNKYD9o8","linkTemplate":"/video/preview/15003060593273713014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff polytope","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XfGPNKYD9o8\",\"src\":\"serp\",\"rvb\":\"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_CQL1_gMA6gQJAvkBAADv_vb3-v7-AP4OAAEFBf4A6vf6-gn_AAD9C_wFDAAAAPgN_gfy_wEACQf7-QQAAAAM-gAAAQAAAAIL9wb-AQAA_gD4BgP_AAADAggHAAAAAPEKBhAAAAAADfoGBAAAAAD37_D8AAAAACAALei92Ts4E0AJSE5QAiqEAhAAGvABcxEQAZD44_p__f0B2OQBAZIdCf8k9-0AABv9AQL2DwEV-ef_yuLv_-YQ2wAE8wP_-gbs_w8G9f8OI_kAG-YMABsB8QAO9P4BGQUXAf8E7P8BHCT_9d0g_xn49QL18DcAHyHl_hkDAwBB3vMBDdwFBQ74DwP26gn-DP_8A_MZ-fz9-hQACvkFAwP8-fYf8QoHC_L7-_oVHQD_IBsB_gEc_fzw4PsIDgEE9Qzt-w8C7v4J6Ar77_sS-wrs2gHoGQ_9_O0U_gDy_gP7IgP7ARH-EtwN_QDi_w0I9QEO-w3vBwv_Bvjy0xL19ub8BxbjIQj7IAAtI441OzgTQAlIYVACKnMQABpgRxUAC_5MDPj_K9bYyB9I3uL8HR7QE_8_FQDC3hkyMSX0ziUVAP-p4d-jAAAAI_HrFygA1HPg9uPzBPAHCLX2Ozx_8AoFFRZB7xi1uf7ruNfRO3D0AOHa4RgdBCcEMzU0IAAt6ScZOzgTQAlIb1ACKq8GEAwaoAYAAKDBAACgQAAAIEEAACDBAACYQQAAkMEAAJBBAAB4wgAAyMEAAMhBAAAwwgAAWMIAAEzCAACIwgAAwEEAAABAAABwQQAAQEAAAIA_AAAkwgAAgMEAADRCAAAIQgAAiEEAAIBBAABIwgAAdMIAAADCAADAQgAAmEEAAAzCAAAAAAAAqMEAAIDAAACgwQAAOEIAAMBAAADMQgAAHMIAAMhBAADAQQAAGEIAAOhBAACAPwAACEIAAExCAABQwgAAwMEAAHxCAACgwAAAPMIAAABCAACAvwAA-MEAAJhBAADgwAAAuMIAANDBAAAswgAAWEIAAJjBAACQwQAAgEAAAIDCAABMwgAAkMIAAKBBAAAAwAAAHMIAAKDAAACIQgAAEEIAACzCAADgQQAA-EEAAGjCAABwQQAAgL8AAIpCAABQQQAAoMEAADBBAAAYwgAAcEEAAJhBAABIwgAAjEIAAExCAAAkQgAAeMIAALDBAAC4QQAAMMEAAPLCAADYQQAAEMIAAExCAAAoQgAAYEEAAKDAAACowQAAcEEAAKJCAAB8wgAAIMIAAADBAABwwgAAUEIAAIDAAACIwQAAgMAAAAAAAADAQQAAlMIAAGBBAADAQAAAgEAAAHDCAADIQQAAAEAAABTCAAAIwgAAGMIAAGjCAAAUQgAAAEAAACzCAADAwAAAEMIAAJDCAADQQQAAMEIAAIDBAADoQQAAQEAAABRCAABUQgAAJMIAAABBAACQwgAAjMIAAGBBAACeQgAAIMEAAADAAACYQQAAdMIAACxCAAAAAAAAuMEAALjBAABAwAAAHEIAAEBAAACYQQAABEIAAAxCAAA4wgAARMIAAEBAAABgwQAAAMIAAKzCAADYwQAAPMIAAGRCAABYQgAAIEIAAIhBAAAAwAAAwEAAAADBAACIwQAAqMEAAIDBAABQwQAAwMEAAMjBAADwQQAASEIAANDBAABgwgAAkEEAAIA_AADWQgAATMIAAGjCAAB0QgAAYEEAAKBBAAAAwQAAosIAAABCAAAQwgAAWMIAAIxCAABMwgAARMIAANDBAABUwiAAOBNACUh1UAEqjwIQABqAAgAAyD0AAOA8AAA0PgAA2D0AABS-AADYPQAAgDsAADu_AAAUvgAAuD0AAGQ-AACuvgAARD4AABQ-AAAwvQAAtr4AAJg9AABUPgAAdD4AAMY-AAB_PwAA6D0AAEA8AAAwPQAAED0AAEy-AADIPQAA4LwAAJg9AAAcPgAAHD4AACy-AABUvgAAbD4AAIA7AAAMvgAAMD0AACy-AABUvgAAqr4AAEy-AAB8vgAABL4AAEy-AAAsvgAADL4AAIg9AACAuwAAoDwAAKC8AAA0PgAAZD4AAOC8AACgvAAAFL4AAEA8AABpPwAAuL0AAJI-AAD4PQAAyL0AAHC9AAAsPgAAZL4gADgTQAlIfFABKo8CEAEagAIAAIC7AACGPgAAoLwAAEO_AADYvQAADD4AAGw-AADgPAAA2L0AAOo-AABEPgAAHL4AAMg9AACIvQAAML0AALi9AACgvAAANz8AAKA8AAC-PgAAEL0AAKi9AAA0PgAAJL4AAFC9AAAEvgAAyL0AAKg9AADgvAAAUD0AAKA8AAAQvQAAgDsAAHC9AAAQPQAAnr4AAKC8AABAPAAA6L0AANg9AADIPQAAqL0AAMi9AACYvQAAJL4AAFQ-AAB_vwAAcD0AABC9AABMPgAA6D0AACw-AAAkPgAARD4AAOC8AADgPAAAUL0AAOA8AAAcPgAADL4AALg9AABQPQAAMD0AAEC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=XfGPNKYD9o8","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15003060593273713014"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4037608736"},"1089339253132902107":{"videoId":"1089339253132902107","docid":"34-11-5-ZAEC8CB5A88D0911D","description":"My take on a Halloween song. The new singel will be out on all major platforms on November 2. Check out my other songs: https://linktr.ee/birkhoff I'm also working on an upcoming darksynth album.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2831900/7360dfb0f1e9824eee1b8d2546951293/564x318_1"},"target":"_self","position":"13","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmRkGLEl_aqE","linkTemplate":"/video/preview/1089339253132902107?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff - Halloween (Lyrics Video)","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mRkGLEl_aqE\",\"src\":\"serp\",\"rvb\":\"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_E7oCggQkAYAEKyqLARABGniBABD6-_0EAPADC_v8AQAB5QEC-fwAAAD2B_z-_wL_AAD4-AIMAAAA9P0D_QYAAAD4Bfr-9P8BAAj9_v0DAAAADwP-__0AAAAE_Qn-_gEAAAQGBAcD_wAAAPTzDv8AAADz-AAHAAAAABQCCAEAAAAA9fT7_wAAAAAgAC2Teds7OBNACUhOUAIqcxAAGmA6DgARAQfo2f_68hD_AAUFNAPp4w_xACDWAOTw-w77EejlN_QAEOMTAswAAAD7-vwLDQDERAXe_wYT7wQC2PcO6n8s9_QpKRII__EA4hU5_QcOahgABQ3fAPLXJwIP_w8gAC0T62Q7OBNACUhvUAIqrwYQDBqgBgAAUMIAAMDAAAB0QgAAMEEAAEDBAABwwQAA2MEAAJTCAACIwgAAUMEAALhBAADQwQAAUEEAACDCAABgwgAAgEEAACxCAACMQgAAtkIAAATCAAAAAAAAmEEAAJjBAAAUQgAABEIAAMDAAACIwgAAkMIAANjBAABAQgAAwEEAABBBAABMwgAA4kIAAKBAAACAwAAAUEIAAARCAAC4QQAAoEAAADhCAAAQQgAAoMAAAMhBAABswgAAQMAAAJBBAACSQgAAgL8AAKzCAAAAAAAAAEEAAJLCAAAgQQAAoMAAAMDBAADQQQAAAAAAAAAAAABEQgAAQEEAAIDBAABMQgAAgL8AAFDBAACAwAAAmMEAAP7CAAAoQgAA_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-AACovQAABL4AAHQ-AACYvQAAK78AAGy-AAAsPgAA0j4AACQ-AADYPQAAtr4AABw-AABRvwAAnj4AAKi9AABkvgAAmj4AAD0_AAAQPQAA0r4AAJI-AAAcPgAAUb8AAEC8AADuvgAA-L0AAO4-AABEPgAA-r4AACy-AACAuwAAdL4AAHO_AACuPgAAVD4AAEu_AAAQvQAAzj4AAPi9AADIvQAADD4AAKi9AADWPgAADz8AAL6-AAATPwAApr4AALq-AACAuwAAir4AAKa-AAArvwAAij4AAGs_AAB8PgAAuj4AAH8_AAALvwAAKb8AAEA8AACqviAAOBNACUh8UAEqjwIQARqAAgAAQLwAAOA8AAAsvgAAE78AAEA8AAB0PgAA4LwAAAQ-AABkvgAACz8AAMg9AACKPgAAwj4AALg9AABsvgAAmL0AAKi9AAB_PwAA6L0AAPI-AAAwvQAAHL4AAI4-AABkvgAAyL0AADy-AADYPQAAFD4AAO4-AAD4PQAAyD0AAHy-AAAwvQAA6L0AALI-AABEvgAAUD0AAEC8AABQvQAAQLwAAMY-AAAUvgAAML0AABS-AABsvgAAij4AAH-_AAAQPQAAgr4AAIo-AACIPQAAmj4AAHQ-AACePgAAED0AAKA8AAAMvgAAiL0AAMg9AABEvgAAUD0AAJo-AAA0PgAAzr4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=mRkGLEl_aqE","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1089339253132902107"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"741230350852961370":{"videoId":"741230350852961370","docid":"34-11-12-Z8C19FEAD83C87518","description":"Every Frenet curve in the plane defines a Birkhoff billiard: a strictly convex curve. This can be described nicely in complex notation. The Frenet equations are now directly integrated using a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3362366/33c64ab1481b1cc3555dea625d544d25/564x318_1"},"target":"_self","position":"14","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DY-uIPYkUjQo","linkTemplate":"/video/preview/741230350852961370?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Open Problems about Birkhoff Billiards","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Y-uIPYkUjQo\",\"src\":\"serp\",\"rvb\":\"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__MC_QDv-v35_AEBAQQAAAL4__4ACggB8_8C_wDx9vsOBQAAAAMJ-Pv3AAAA7A8EDPoCAAATDPT2BAAAAA0BDAT0AAAA-fv5AgABAAAJ__UKBP8AAAQEBgf0_gEA-wQKDP0AAAAH-A0MAAAAAPbu7_wAAAAAIAAtkoTKOzgTQAlITlACKnMQABpgDgwALdgJ8OftE_730-33DQQTIvXjKgD_9QDzAwnfCPvJ5kkTABbm9gDDAAAA_yYSGy8A7k4Tv97oAd7W9-n7Ffx_DO_43QwHBQIlEBUWDc8HMT41ANIFF_tF6vgI_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_AAAoQgAAKMIAAEzCAAAUQgAAeEIAAIC_AAAgwgAA4MAAAKhBAAB0QgAAiMEAAODBAADcQgAAEEEAADxCAAAAAAAASEIAADBBAABAQgAA0EEAAADCAAAkwgAAyEEAAATCAAAwwSAAOBNACUh1UAEqjwIQABqAAgAA-L0AABA9AABQPQAAFD4AAIC7AABQPQAA2D0AACO_AACCvgAAZD4AABQ-AAC4vQAAqD0AAGw-AADYvQAARL4AAIA7AACoPQAAVD4AAFw-AAB_PwAAUL0AAFw-AADgPAAAEL0AABA9AAAkPgAAoDwAAOA8AABQPQAAFD4AAMi9AADYvQAAyD0AAFC9AAD4vQAALD4AAI6-AABcvgAA6L0AAEy-AABEvgAAoLwAABC9AADYvQAAuL0AAJY-AABUvgAAQLwAAES-AAAMPgAARD4AAIC7AABAPAAAEL0AAIC7AAARPwAAQDwAAHw-AAD4PQAAgLsAAKC8AAAcPgAArr4gADgTQAlIfFABKo8CEAEagAIAAEy-AACKPgAAyD0AAEW_AADYvQAAgLsAADA9AACgPAAAyL0AAMI-AABcPgAAVL4AABA9AAA0vgAAED0AAJi9AAAwvQAAUz8AAGQ-AACGPgAAHD4AAIi9AACGPgAABL4AAOi9AACovQAAHL4AAEw-AAC4PQAAiL0AAOA8AABQvQAAED0AAOC8AABUPgAAZL4AADQ-AACgPAAAXL4AAHA9AABwPQAA4LwAAMi9AAC4vQAAUL0AAJ4-AAB_vwAAUD0AAOC8AAC4PQAA4DwAAFA9AAAsPgAAZD4AAOA8AAAwPQAAEL0AAEA8AABMPgAAVL4AAEA8AACAOwAAUD0AAHA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Y-uIPYkUjQo","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["741230350852961370"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2847904710748269856":{"videoId":"2847904710748269856","docid":"34-0-16-Z757AADD5F7FC7981","description":"This is a review of recent work by Bialy and Mironov on the Birkhoff-Poritzsky Conjecture for billiards dynamics. Script based on the reivew by S. Tabachnikov at...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2048368/ac50358ad5e5bc46d477f8a078bad97c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/B0uhMQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DzHugvX1kXug","linkTemplate":"/video/preview/2847904710748269856?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Billiard dynamics and the Birkhoff-Poritzky Conjecture","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=zHugvX1kXug\",\"src\":\"serp\",\"rvb\":\"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_cI_QIJAQj59v__AP8KDAAGBv0A8PUL8QgAAAD-CPII-wAAAPcP_Qjw_wEAHAbu_gQAAAASB_4J9QAAAA4LBAAJ_gEB-PTzCQT_AAAUCwkB_wAAAPn5Awz9_wAACwQJAQAAAAAF4QH_AQAAACAALRyPwTs4E0AJSE5QAiqEAhAAGvABf_koAfzSCAOXHOMA1y-_AcjiCQAqLPQA3AMJAMr_6wEEEgcABcAg_-vx2wCb7goA-hH2AAsb-gBA9xT_MfsGANIpGAEFwecCBxgY_-XZBP_lQPv_w_Tl_vPZsQAgLuL-_uYX_0AN4AHsA8AC7g4yAhcRBgIOAxcB7-cNAQsoFwbs3gIB7SgN_xn1GPwR3SkF9P4P-RYTCfnyT-UH5BkVAv787_cpAuUC7AvZCAEBDPjy3AL6_CcJ__HRHwEJ_N4G0u4F_BDZBfAH9AL4_Az-_tHe9Q0c9PQMv9EGAvXDCQcpJA4K4RUK80Hq__cw9_0TIAAt51gPOzgTQAlIYVACKs8HEAAawAenlcK-vuutPf6jJbz284E8w8pYORpUdrw7xyC-LwqMvKsLU7z_I9M9wVJdPJoLnDx2pTW-fQpbvIrSmDtAvTk-4huqOQyl2LlA3CW-xCskPPP2b7vzWQ6-OG83PXb7LLt2sDQ8R9oXPa1AvjwdZp4885cRvbNqhjwUrwI-aB9QPFNkA70ei-09xANvPPIQvjonHVs9IIjiO-cVETwP7YQ7zHMuvbKjzLsmpWU9QNtqPbTAaDxeLiK-TY-cPFidpjxhJyu8tjRyPVobc7qJzw2-InyOvZhvmDxVil29HOOUvI0FCr3MehE-FocTPXyTi7zSo449maQNvVDfsjwTQ5K99xw9vbnHUjsqO5i8AZQ1PcSmobvIRSW-adGBPZ0Ix7xaKrG7_2k0PVxlr7h-rMs97G55vFRVibucRmQ9QNmJvf5UCTs7G5K9IXuoPYA1nLpLlm68Ce6xPaQkGLygm4c9CPh_PGu-iLufeTS9TdNMvSTTH7w3wgK--9MBPev6B7yM_JW8E1wxvUBENDtE87U92NTZvTpxILzzBCI9yGuBOSI_kbw845Y8J76aPJjKsjqPjus8FJb4PBJCUbwGdcu97x2FvWEWVbnGaMK9PJq0vMALtjvuPQy-b9ADPZCfzzoXPHY9gyUIPbfQlbuouYY9wuWIu4yShDtxybG8l_wVPNG9Wjs6nJ892jq4PFx8QDviPNy9zqYDvVJTfbkYsgo-ZZ7DuxjRgjjAWvU9yueLvb2GyLgXIZa9G4qBPUjmqjnKNPo9E3vNvFmGYTi9osA8BL-Vu7lw-rkJcSC9X1cYPQfsNjmE4Kc9AWg5vAfUbLnDvAe-qT9svdp7ZTdqUE89E3wTPJRLErnirt69k_GZvcknajn_xy48hNl_PePnrbnJOAY9vBUzvWUJWrkbi3w9NckZPW07grYarV49EcnrvG0eAjlqszs9zZGVvOBhCbmnf0Q9vNK9PScq-zbg3Dq97N2PPRylgLiXeeU7DVrjvBk0xDb5Akk9RWo1vf5JMbgCwr08aG9VvRULmzjNmSg9_BxfvV2ArzYHPuu8hrZSPLWuhje45Ci-0X-FvJ34GrkW1Yc8XgiDO3NMlDgcXvA9fQT-PPTnkLiVbYa9CobvOzi7jjcE6f08WZQovb-8Y7j_5V476UCLvcslr7gkXw28fSLPPVTLljgofsw9XrwPvjgfMznHoAM-YI14vRfIWjgpbw28QMUMPbXbizdgmpg8W5r7PYSt_bhuxoS92CjrveftkLa4S5G8fu8lvGmTkjcgADgTQAlIbVABKnMQABpgN_cAN-EY6uDuKvHx6_QJ2u0LRhHE6_8R-wDnBBAADxDm5EQMAPDhJAa4AAAA-Q8VHu4A1GEFx_D72AYN0MbgJwx__QUAz-sfG_YZLe789_wiF0E4AJn-1-wh5eog5y8xIAAtOhQ7OzgTQAlIb1ACKq8GEAwaoAYAAMjBAACAwQAAUMEAAADBAAAwQQAAUMEAAHBCAAAYwgAArMIAAExCAABMQgAASEIAADBBAAB0QgAAMMIAAAhCAABQQQAAyEEAAKBAAAAAwgAAyEEAAIA_AABUQgAAAAAAAEBCAACgQQAAaMIAAPhBAACgwQAAnEIAAKjBAABgQQAAqsIAAODAAAAgwgAABMIAAHDBAABEQgAA6EEAADxCAAAQwQAAsEEAAIC_AAAAAAAAiEEAACjCAAAIQgAAkEEAAIBCAACWwgAAiMIAAIBAAACgwAAA6MEAABzCAADoQQAAlMIAAIBCAACKQgAAgD8AAMDAAAAEwgAAaEIAAGBBAADoQQAAiEIAAIBAAABEwgAAEMEAAKDAAACAPwAA4EEAACjCAAAwQQAA4MEAAEBAAACiwgAAokIAALDBAAAEQgAAmMIAAJpCAAAowgAAaMIAAMBAAABAQAAA4EAAAFDBAAAgQgAAwEAAAFBBAADgQQAA4EAAAHjCAAAsQgAAcMEAAMDAAADIQQAA2MEAABTCAACEwgAAmEEAAJBBAAAgwgAADMIAAKpCAADgwAAAoEEAAIC_AAAcQgAAUEIAAADAAABYwgAAUEEAACBCAADOwgAAAAAAADTCAAAsQgAAmMIAAKjBAADQwQAAMMEAALDBAAAUwgAAAAAAAHDBAAAcwgAAusIAAMxCAAAQQgAANEIAACDBAACQQgAAcEIAAMhBAACkQgAAYEIAABjCAADowQAAAMEAAIBAAADYwQAAAEAAAEhCAAC4wQAAgMAAAEDBAACAQQAAUEIAAIDBAADAwQAAdMIAAMBAAADYQQAAHMIAAKDAAACgwQAAgMIAAABCAACIwgAAgD8AACzCAAAMQgAA-EEAAAzCAABAwQAACEIAAJRCAACgQAAAMEIAAADBAAAgQgAAksIAAOjBAAAAwAAAoMEAACBBAAAgwQAAgEIAAEjCAACAwAAAyMEAAARCAACgQAAAgkIAAEBAAAC2QgAAIMEAADDBAAAIwgAAEEEAAIRCAADgwAAAYMEAANhBAACAwAAAsMEAAEBBAAAowiAAOBNACUh1UAEqjwIQABqAAgAAUL0AAAy-AABEPgAAQLwAAEC8AADgPAAAZD4AABu_AACmvgAAcD0AAEC8AAAkvgAABD4AAAQ-AACovQAA6L0AANg9AAAwPQAAyL0AAEw-AAB_PwAAiL0AAFC9AAAMvgAA4DwAAJg9AAAUPgAA-L0AANi9AAAEPgAAHD4AAKC8AAA8vgAAND4AALi9AAAUvgAADD4AAI6-AACevgAARL4AAES-AADgPAAA2L0AAEA8AAAsvgAAVL4AAKI-AAAwvQAAFL4AAIq-AAAQPQAAmD0AAMg9AAAMPgAA2L0AAOA8AAANPwAAUL0AAFw-AAC6PgAAyD0AALi9AAAcPgAAxr4gADgTQAlIfFABKo8CEAEagAIAABC9AABMPgAA4DwAAEO_AAAkvgAA2D0AAIA7AABQPQAAhr4AAAc_AAAMPgAAPL4AAIA7AAAcvgAA6L0AAOC8AAAwPQAARz8AALg9AACWPgAAQLwAAIg9AAC4PQAAVL4AAKi9AADgPAAAUL0AAOg9AABwvQAAuD0AAFA9AABQvQAAMD0AADy-AADgvAAADL4AALi9AAD4PQAAJL4AADC9AADIPQAA4LwAAAS-AADovQAAPL4AAII-AAB_vwAAoLwAAKC8AABQPQAADD4AAKC8AADIPQAAJD4AALg9AACAuwAAQLwAABQ-AADgPAAAJL4AABA9AADgvAAAUD0AAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=zHugvX1kXug","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":3840,"cheight":2160,"cratio":1.77777,"dups":["2847904710748269856"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2215401501"},"5028842564255670014":{"videoId":"5028842564255670014","docid":"34-6-2-ZE0B48E7238761BEB","description":"Robot Synth Dream presents \"Flowerfield\" by Birkhoff #Birkhoff #Outrun #Retrowave #Music Birkhoff on Amazon: https://www.amazon.com/s?k=Birkhoff&i... Birkhoff on Apple Music / iTunes: / birkhoff...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3759465/477ee99ef6a92118a98fba73921007af/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IrjHQAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DbJKrX-ONSSw","linkTemplate":"/video/preview/5028842564255670014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff flowerfield [outrun/retrowave]","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=bJKrX-ONSSw\",\"src\":\"serp\",\"rvb\":\"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_E48CggQkAYAEKyqLARABGniBBgf5BAP9APP8CQf3Bf4BCAEH-ff__wD5_gH4BQP_APj1BQANAAAAAQ36_QUAAADzDQj48wABABn7-QADAAAACw4SAvkAAAAWBv8A_gEAAAMAAPsD_wAACP0VBAAAAADkAwb6_wD_AAwF9gQBAAAABgrsAgAAAAAgAC0xgso7OBNACUhOUAIqhAIQABrwAXkZ_wC2C-39fwPjAIj-8P2zGe__1fD1APQG7QAOCgcB5P8RAMvy7QDo__4AHBfk_-MJ8_8a8O4ACOQl_xjs8gD_5h8A5fT5ABP_-wH-Avn_6wTuAP8AFAD89CAB4RkN_x7w8AATFuv--QsA__L45wL6EP4B4_z9Be0EAgAOBeAB-AUc_iT_KP4J9RD-_g0DAgYE8f4PAyn98P8I--4K7QXbA_byCfcN_Q8G5wQE-_H7Hgw0Agse_f7aBf39IOEDBRIUF_zbGAv48g4TBun69vj88QoC9PoE9fz1-fn27Pby_w0I9-kQB_b6_ff-9wv2CCAALSqKPDs4E0AJSGFQAipzEAAaYEQCAE8hBsX7QT_Zw9nBMhwN6-nXsx__AuEA7hILER5GH8sb7wB3ztkZmQAAAOzdFNgSALV_HMkkG-Ew3Q3B4l0bYi8V-_xM7xHg98PADcDQ5exVQwD9tsMlF_Iauvsg8SAALdwZDzs4E0AJSG9QAiqvBhAMGqAGAAA0wgAAQEEAAHBBAACAQAAAYMEAACBBAAAsQgAAMMEAABjCAACgwAAAQEEAAJDCAAAwwQAABMIAAOjBAACYwQAArEIAABBCAABEQgAAcMEAAFRCAADAwAAAAEEAAIDCAAAgQQAABMIAAIjCAACQwgAAyEEAALjBAACwQQAAFMIAAJjBAAAEQgAARMIAAIBAAAAwQQAAuEEAAOhBAACgQQAAnEIAAGBBAAA8QgAAgL8AAJDBAAAgQQAAcEEAADDBAACIQgAASMIAABDBAABAQAAAgEAAANDBAAAswgAATEIAAADCAABcwgAAgD8AAERCAABgwQAAskIAALJCAACAQQAAqsIAAPDBAADAQQAAoEAAAIDBAABcQgAATEIAABBCAACuwgAAsEEAAIDBAAAgwgAAYMEAABBBAAAMwgAAyMEAAJDCAADAQAAA4MEAAKBAAAAgQQAAQMAAAEDBAAAQQQAAuMEAABjCAACAvwAAhEIAAExCAABQwgAAMEEAALjBAAAMQgAAaEIAAKzCAACAvwAAoMEAAHBBAAD4wQAAIMEAAADBAAAQwQAAAAAAAABCAABIQgAAuEEAAKDCAABAwgAAWEIAAHBBAABcQgAAgMAAAFBBAADQwQAAIEIAAIBCAACwwQAAeEIAADDCAAAgwgAAuMEAAABBAAAQwgAAoEAAAIzCAACwQQAAHEIAAEBCAAA8QgAAAMAAACxCAABIQgAACEIAANrCAACQQQAABMIAAMjBAACAQAAA4MAAAJhBAAAQQQAASEIAAJDBAADIQQAA-EEAAPhBAACWQgAAQEAAAMDAAACIwgAAoEAAAIDBAADgQAAAzsIAACBCAADgQAAAAAAAAEDBAACCwgAA0EEAACDBAACAPwAAmEEAANhBAACcQgAAcEEAAFDBAAD4wQAAAEAAAL7CAACAQQAAqEEAAGBBAAAwwgAAiMIAAMBCAABAwQAAAMIAACBCAACowQAAgEAAAJjBAAAcwgAAykIAAGDBAABgQQAArsIAACDCAACQQQAAoEAAAAzCAAC4QgAAYMEAAGDCAABQwQAAsMEgADgTQAlIdVABKo8CEAAagAIAAL6-AABUPgAA4j4AAIg9AABQvQAAnj4AAJI-AABlvwAAfL4AAFw-AABrPwAAcL0AALY-AAAcPgAAuj4AAIq-AABFPwAA_r4AAL4-AAA_PwAAVz8AALg9AADovQAAQLwAAH8_AAAMvgAAVD4AAI6-AABkPgAAUT8AAJg9AACuPgAAA78AAB8_AADYPQAAR78AAJq-AABcPgAA7r4AAA-_AACAuwAAKz8AAB8_AABsPgAAxr4AALI-AAAMPgAAcL0AAIg9AACmvgAArr4AAMq-AABQvQAAkr4AAIK-AACGPgAAfz8AAK6-AABsPgAA6j4AADS-AAAMPgAAcD0AAHC9IAA4E0AJSHxQASqPAhABGoACAACYPQAARD4AAOg9AAApvwAA2L0AAIA7AAC4vQAAbL4AALi9AACmPgAAqL0AAJi9AAAPPwAAUD0AACS-AACYvQAAbL4AAF8_AACAOwAAnj4AAJI-AABMvgAAkj4AAEy-AABAvAAAvr4AABA9AACePgAAfD4AAMg9AAD4PQAAuL0AAIC7AAAUvgAAoLwAABy-AADIPQAAND4AABC9AABMvgAAyj4AADA9AACIvQAATL4AAKi9AABAvAAAf78AAMg9AADoPQAAwj4AALg9AAB8PgAAmL0AANY-AAAMvgAAND4AAIa-AABEPgAAcL0AAPi9AAAMPgAAfD4AAJI-AAD2viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=bJKrX-ONSSw","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5028842564255670014"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1464015240"},"8834948081515072415":{"videoId":"8834948081515072415","docid":"34-6-11-ZA3D594A1A44AE092","description":"Available on all popular streaming services, including: https://open.spotify.com/track/7d1yjn... https://music.apple.com/us/album/esca... https://birkhoff.bandcamp.com/track/e... #synthwave...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1995952/e3bbd00a025d189c320c06a67b54605c/564x318_1"},"target":"_self","position":"17","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0Ke5sJbB2xE","linkTemplate":"/video/preview/8834948081515072415?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Birkhoff- Escape","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0Ke5sJbB2xE\",\"src\":\"serp\",\"rvb\":\"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_E8kBggQkAYAEKyqLARABGniBBAD99_8BAO8IAvz7AQAB_gv48vf-_gDxAQL8_gEAAPj2BAAMAAAA_wkB9v8AAAADAfkF8v4BAAQE9wcEAAAAExQJAwIAAAAGA_YB_wEAAPz4Av8C_wAAAPYOBv8AAADy-AAHAAAAAA36BgQAAAAA8-r3BQAAAAAgAC3MZtY7OBNACUhOUAIqcxAAGmBBEgAPHwDoxv0VA_HzNAsRwfkS-NkYAPPwAAbvy_saAf3NKggAFtQX9b4AAAD78eggNQDkTiPY9vnw-ufh5u8J_3_w8uUzIAkS_dkE9Sz-5vcpUSYA8OHzL_siPPAmFQMgAC1u1007OBNACUhvUAIqrwYQDBqgBgAAoEEAABxCAADIQQAAMEEAAABCAACgQQAAhEIAAHzCAACwwgAAEEEAAGxCAAC4QQAAQMAAACzCAACAwAAA-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-EEAAEBBAABMQgAAYMEAAIBBAAA4QgAAqMEAAEBBAADgwAAAYMEAAJpCAACwwQAA8MEAAODBAAAAQAAACEIAANjBAABAQQAACMIAAMBAAADgwAAAQMEAANBBAAAcQgAAHEIAANBBAACMwgAAgMEAAKjBAAD4QQAA3MIAAHhCAADgQAAAaMIAANDBAABIQgAAXMIAAJ7CAAA8wgAA4MEAAPBBAAAgQQAAWMIAALBCAADQQQAAoEEAAAAAAADgwAAA0EEAAMhBAACIQQAAnkIAAIjBAAAkwgAAyMEAAJJCIAA4E0AJSHVQASqPAhAAGoACAABwvQAAJD4AAJY-AADYPQAAqL0AAJg9AAAcvgAAxr4AAIi9AAB0PgAAvj4AACS-AADIPQAA2L0AAJg9AABcvgAAtj4AAOC8AABUPgAAqD0AAH8_AABwvQAAPL4AAGw-AABEvgAAyr4AAFA9AABEvgAAbD4AAGw-AACAuwAAcL0AAAy-AADYPQAAEL0AAPq-AADovQAATL4AAFy-AACevgAAMD0AADS-AADIPQAAUD0AAFS-AADIPQAAcD0AAIC7AADoPQAAMD0AADC9AACaPgAAXL4AAAS-AABkvgAA6D0AABU_AACIvQAAvj4AAOI-AAA0vgAAuL0AAOg9AAAMviAAOBNACUh8UAEqjwIQARqAAgAAUD0AADA9AACovQAABb8AAHC9AAB0PgAAuL0AAFw-AACYvQAA4j4AALi9AAAwPQAA9j4AAEA8AABMvgAAqL0AAEy-AABfPwAAmr4AAGQ-AACIPQAAJL4AAJ4-AAD4vQAAgLsAAIK-AACAuwAADD4AAKY-AACAuwAA4DwAAOi9AABAvAAA-L0AAJg9AAA0vgAA6D0AAGQ-AACIvQAAoDwAALo-AACGvgAAqD0AAKa-AACAOwAAuD0AAH-_AAC6PgAAuL0AAHA9AAAwPQAAoDwAAJI-AAAsPgAAQDwAAFA9AACovQAAoLwAAIA7AAAQvQAAQLwAAJi9AADgvAAAHL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=0Ke5sJbB2xE","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8834948081515072415"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"69055804474588986":{"videoId":"69055804474588986","docid":"34-6-6-ZF33AA4F84DB17B54","description":"Garrett Birkhoff was one of the defining mathematicians of the 20th century – a brilliant thinker whose influence extended far beyond the boundaries of classical mathematics. In the realm of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4104866/6a5ef7c6f1d0bdddd1d059294e1a8a77/564x318_1"},"target":"_self","position":"18","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DD8lqmchwF2c","linkTemplate":"/video/preview/69055804474588986?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Garrett Birkhoff: The Hidden Architect of Quantum Logic","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=D8lqmchwF2c\",\"src\":\"serp\",\"rvb\":\"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_wEA5Az5APv_AgAMAPv69gAAAPMS-gIHAv8A6vgFBfz_AAADBO0ABgAAAPb--wj0_wEADQb1AwQAAAAaCAj6AQD_AP0C9gT-AQAA_wX7_wP_AAD0_AkA_wAAAO33CgUAAAAACQH7-QAAAAAEBvj8AAAAACAALUuj0js4E0AJSE5QAipzEAAaYC4ZADsZ3-rB4kPh6NHc4-nkBxnvwNz_FvoA2fbF69YB2psLEwDnzQIIqwAAACbC7CX1ANJzDaXjGuYK4tj7wf4Vf-vo5BIUQ97TN-sAHejsDV07YgD_K_swE_HdKskXGCAALVrmHjs4E0AJSG9QAiqvBhAMGqAGAABgwQAAMMEAAKxCAABUwgAAmEEAACBBAAAQwQAAIEEAAADDAABcwgAAGEIAAABBAACEwgAADMIAAOhBAABkwgAAMMEAAEDBAADoQQAAAMAAAIhBAABcwgAA0MEAACBBAACQQQAAIMIAAAjCAACgQAAAgEAAAOBAAABcQgAAGEIAAETCAADgwQAA2MEAAKBAAAAQQQAAmkIAAFBCAAD4wQAAQMEAACxCAADwwQAAIEEAAEDAAACIwQAAJEIAACjCAAAMQgAAIMIAAFTCAACYwQAAQEAAAPjBAACgwAAA-EEAAIzCAAB8QgAAMEEAADhCAAAQwQAAQEEAADDBAABwwQAA-MEAAAhCAAAUwgAAcEEAAAzCAABgwQAAYMEAAGhCAACgwAAAhEIAAAzCAACgwAAA0MEAAIC_AACoQQAA2MEAANDBAACOQgAAoEAAAOjBAACqQgAAoEIAAPDBAABgQQAAiEIAAJBCAADowQAAUEIAACBCAACQwQAA6EEAAJTCAAAkQgAAeEIAAChCAADgwAAAdMIAAHRCAAD4wQAAJMIAAI7CAADQQQAA-MEAAEDBAABQQQAA-MEAAHBCAACIwQAAwMEAAMjBAACqQgAA0EEAANhBAAD4wQAAikIAAABAAAAcQgAAQMIAADBBAACGwgAAYEEAACBCAACAvwAAQMIAALjBAACAvwAAZEIAAKDBAABUwgAAyEIAAKRCAABgwQAAJMIAAFhCAABAwQAAmMEAAOhBAAAwQQAAQEAAAABBAADuQgAAAEEAABDBAABUwgAAPMIAAGBBAACwQQAAgEEAAADCAABgwgAAqMEAAODAAADwwQAAiMEAAPDBAAA4QgAAYMEAAOhBAACgQAAAqEEAAEBBAAC4wQAA2EEAAKBBAAC4QQAAAEIAAJjCAACAPwAAuEEAABDBAACgwQAAgEEAACxCAABwwQAA-MEAAKpCAACSwgAAcMIAAKDCAACQwQAAQMEAADDBAACAvwAA4EEAAPBBAACoQQAAcMIAAEBBAABMwgAAMMEAAEBBAABsQgAAAEIAAADBAABkwgAAhMIgADgTQAlIdVABKo8CEAAagAIAAJa-AAD4PQAARD4AANg9AAAsPgAAfD4AADw-AAAvvwAAqr4AAMg9AADgPAAAkr4AAIg9AACmPgAAJL4AAAy-AABsPgAAgLsAALY-AAD6PgAAfz8AANi9AABUPgAAgLsAAKq-AAAMvgAA2D0AANi9AADmPgAAzj4AAFQ-AACavgAAPL4AAI4-AACYvQAAML0AAFA9AACKvgAAur4AAKK-AADYvQAAMD0AAFA9AAAEvgAANL4AAKg9AACKPgAAkr4AAIi9AACqvgAA4LwAADS-AACoPQAAND4AADC9AABAPAAAWT8AAAy-AAAMvgAAoj4AALK-AACIPQAAiD0AAJq-IAA4E0AJSHxQASqPAhABGoACAAB0vgAAlj4AAEA8AABXvwAAXL4AACy-AAB8PgAA-L0AAIC7AABkPgAAHD4AAFS-AADgPAAAyL0AABy-AADIvQAAVL4AADk_AABAPAAAwj4AAKC8AAB0vgAAqL0AAFS-AACYvQAAor4AAKC8AAA8PgAAyD0AAHC9AAC4PQAAoDwAACy-AAAEPgAAPD4AAL6-AAB0PgAAHD4AAJq-AADgPAAAED0AACy-AABsvgAAML0AAIa-AAAUPgAAf78AAAQ-AADIvQAAUD0AAPg9AAAcPgAAuD0AAFQ-AABwvQAAmD0AALi9AACOPgAAij4AALi9AADgPAAAqL0AAJg9AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=D8lqmchwF2c","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["69055804474588986"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17008153317885135622":{"videoId":"17008153317885135622","docid":"34-9-4-Z0574765A6B2484CF","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/762900/93b4df19375178876521d4162f20cf79/564x318_1"},"target":"_self","position":"19","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMDIDqGIIpuQ","linkTemplate":"/video/preview/17008153317885135622?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"June Barrow-Green: George Birkhoff’s forgotten manuscript and his programme for dynamics","related_orig_text":"Birkhoff","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Birkhoff\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MDIDqGIIpuQ\",\"src\":\"serp\",\"rvb\":\"EqgDChQxNTU2NjQ1ODM1MzM4MzE3ODk4NAoTOTcyNDExMzAzNDI1NjYyNDEzNAoTNDMwNzY0MTIyNDE3NDU2OTQ2NgoTODM1ODUwNjUxNzQ5ODE2MzI2MgoTODk0Njg4MzgwNjY0MDEzNzk2MwoUMTcyNDQxMzA2NTgyNDA1NDIzMjkKEzY0NDQ3NDg0ODg5MzY1NTI1NDEKEzY1MzAzMDgwMjUwMTk2NjMzNzEKFDExMTk3OTE5NzUwOTY4MTkwMDgwChM2Njc0NTc2MDgyMDEzMDI2OTcwChQxNTAwMzA2MDU5MzI3MzcxMzAxNAoTMTA4OTMzOTI1MzEzMjkwMjEwNwoSNzQxMjMwMzUwODUyOTYxMzcwChMyODQ3OTA0NzEwNzQ4MjY5ODU2ChM1MDI4ODQyNTY0MjU1NjcwMDE0ChM4ODM0OTQ4MDgxNTE1MDcyNDE1ChE2OTA1NTgwNDQ3NDU4ODk4NgoUMTcwMDgxNTMzMTc4ODUxMzU2MjIKFDE2NTQyMTcyNDQ5NTgzMzA5MDY3ChQxMjI4NTczNDU3NjQ0MDQxNjUzNRoWChQxNzAwODE1MzMxNzg4NTEzNTYyMloUMTcwMDgxNTMzMTc4ODUxMzU2MjJqrw0SATAYACJFGjEACipoaGRuendzdW1oYnZ4ZnJkaGhVQ01ITHVuNmpkLWNNUG5YaGMySnFXUHcSAgASKhDCDw8aDz8T4BSCBCQBgAQrKosBEAEaeIEACPsOCPcABP4M-v0D_wH5-QTw-fz8APD6_PsIAf8ADvUA7gMBAAACA_j2CgAAAPMOCfjy_wEAE_v--AMAAAAG_wMP9AAAAAcFAQP1-_0DCvYGEwT_AP8XBBUCAAAAAAUABwv6_wAABwoDAvT8AAAH9AD0AAAAACAALe7wvTs4E0AJSE5QAipzEAAaYDUUAFn78OmhA965p7IGETce8fEJxMP_AwL_4jTysgbi6MoXEf_uyyb3nAAAAEEj3xMnAON_EtPSQAjfX83n4AsAeU9H5g8IC-sz7g3r5O0r50QtPADiGO-_DxEUcuM7BCAALaCuEDs4E0AJSG9QAiqvBhAMGqAGAAAswgAA0MEAABzCAAAcwgAANEIAANjBAACowQAAAMEAAODAAAAwwQAAgMEAALhBAAA4wgAAiMEAAJpCAABAwAAAAAAAAIhBAAC4wgAABMIAAJhBAACYwgAAAEEAAFRCAABsQgAAIMEAAIbCAACmwgAAykIAAEBCAACIQgAANMIAACDBAACAQAAAOMIAAIpCAADIQQAAlEIAAODBAACYQQAAoMAAAIA_AACwwQAAUMIAAEBAAAA4wgAAQMAAAMjBAABcQgAAgMAAAKLCAAAAQAAA-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_AADQQQAAUEEAAJDBAAB8QgAAwMEAAADAAAAgQgAAIEIAANDBAADIQQAAAEEAAI5CAADAwAAAgD8AAAjCAACCwgAAqMEAAJhBAAAQQgAAUMIAAITCAADQQQAAhsIAAFDBAADowQAAgEAAAAzCAACCwgAAoMAgADgTQAlIdVABKo8CEAAagAIAAFC9AAAMvgAAlj4AABy-AAAcPgAAbD4AALg9AAAfvwAATL4AADA9AAC4PQAAcL0AADw-AAAkPgAAVL4AAEA8AACCPgAAmD0AABC9AACKPgAAfz8AAKA8AADgPAAAoj4AAFC9AADovQAAVD4AAKC8AABwPQAA6D0AAKg9AACSvgAAmL0AAAQ-AAAsvgAAED0AAPg9AADGvgAArr4AAFS-AABQvQAAiL0AAKg9AAAMPgAAjr4AAES-AACKPgAAcL0AAJg9AACOvgAAFD4AAMg9AAB8PgAAVD4AALa-AAAQvQAAKz8AAIg9AABAPAAA2D0AAFS-AAAcPgAADD4AAJK-IAA4E0AJSHxQASqPAhABGoACAAC4vQAAuL0AAIg9AAA3vwAAyL0AABC9AAD4vQAAoDwAAKK-AADCPgAAuD0AABS-AAA8PgAAQLwAAAw-AADYvQAAuD0AAEE_AADYPQAAqj4AAOC8AABMPgAAcD0AABS-AAAQPQAAcL0AANg9AAC4PQAADD4AAAw-AABAvAAAED0AADA9AABcvgAAMD0AABC9AACIvQAAjj4AAMi9AACIvQAAcD0AABC9AAB8vgAAEL0AACy-AACAuwAAf78AAFA9AABAvAAAcD0AAIA7AADYvQAAQLwAAHw-AADgvAAAUD0AAOA8AAA8PgAAQDwAABS-AAD4PQAAmD0AAFw-AAAsviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=MDIDqGIIpuQ","parent-reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17008153317885135622"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"15566458353383178984":{"videoId":"15566458353383178984","title":"\u0007[Birkhoff\u0007]'s Theorem and Proof | General Relativity","cleanTitle":"Birkhoff's Theorem and Proof | General Relativity","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=twza_6dxmHU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/twza_6dxmHU?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":"d3d3LnlvdXR1YmUuY29tO1VDR0RhbldVek5NYklWMTFsY05pLXlCZw==","name":"Faculty of Khan","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Faculty+of+Khan","origUrl":"http://www.youtube.com/@FacultyofKhan","a11yText":"Faculty of Khan. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":849,"text":"14:09","a11yText":"Süre 14 dakika 9 saniye","shortText":"14 dk."},"views":{"text":"1,5bin","a11yText":"1,5 bin izleme"},"date":"9 haz 2025","modifyTime":1749427200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/twza_6dxmHU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=twza_6dxmHU","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":849},"parentClipId":"15566458353383178984","href":"/preview/15566458353383178984?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/15566458353383178984?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9724113034256624134":{"videoId":"9724113034256624134","title":"Black Hole Theory Lecture 1: \u0007[Birkhoff\u0007]'s Theorem and the Schwarzschild Metric","cleanTitle":"Black Hole Theory Lecture 1: Birkhoff's Theorem and the Schwarzschild Metric","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Hn9DutzmHgs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Hn9DutzmHgs?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":"d3d3LnlvdXR1YmUuY29tO1VDOFdvMTR1R3dPN1V1eHBLTlN0TlBaUQ==","name":"The Polyphysics Project","isVerified":false,"subscribersCount":0,"url":"/video/search?text=The+Polyphysics+Project","origUrl":"http://www.youtube.com/@ThePolyphysicsProject","a11yText":"The Polyphysics Project. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":664,"text":"11:04","a11yText":"Süre 11 dakika 4 saniye","shortText":"11 dk."},"views":{"text":"2,4bin","a11yText":"2,4 bin izleme"},"date":"21 ağu 2022","modifyTime":1661040000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Hn9DutzmHgs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Hn9DutzmHgs","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":664},"parentClipId":"9724113034256624134","href":"/preview/9724113034256624134?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/9724113034256624134?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4307641224174569466":{"videoId":"4307641224174569466","title":"\u0007[Birkhoff\u0007]'s theorem - Matching procedure in general","cleanTitle":"Birkhoff's theorem - Matching procedure in general","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=58RI8yM4L10","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/58RI8yM4L10?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":"d3d3LnlvdXR1YmUuY29tO1VDbldORm4xR2JmMlBmbklhcF8xV0swZw==","name":"AdPhysEx “AdPhysEx”","isVerified":false,"subscribersCount":0,"url":"/video/search?text=AdPhysEx+%E2%80%9CAdPhysEx%E2%80%9D","origUrl":"https://www.youtube.com/channel/UCnWNFn1Gbf2PfnIap_1WK0g","a11yText":"AdPhysEx “AdPhysEx”. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":526,"text":"8:46","a11yText":"Süre 8 dakika 46 saniye","shortText":"8 dk."},"date":"9 eki 2016","modifyTime":1475971200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/58RI8yM4L10?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=58RI8yM4L10","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":526},"parentClipId":"4307641224174569466","href":"/preview/4307641224174569466?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/4307641224174569466?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8358506517498163262":{"videoId":"8358506517498163262","title":"\u0007[Birkhoff\u0007]'s Theorem","cleanTitle":"Birkhoff's Theorem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lUBv90rhOGE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lUBv90rhOGE?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":"d3d3LnlvdXR1YmUuY29tO1VDbG9jcnFwRm8xcW0yNEdObkVVTGx6Zw==","name":"bodirsky","isVerified":false,"subscribersCount":0,"url":"/video/search?text=bodirsky","origUrl":"http://www.youtube.com/@bodirsky","a11yText":"bodirsky. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":730,"text":"12:10","a11yText":"Süre 12 dakika 10 saniye","shortText":"12 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"7 tem 2020","modifyTime":1594080000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lUBv90rhOGE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lUBv90rhOGE","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":730},"parentClipId":"8358506517498163262","href":"/preview/8358506517498163262?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/8358506517498163262?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8946883806640137963":{"videoId":"8946883806640137963","title":"\u0007[Birkhoff\u0007] on Modern Fluid Mechanics","cleanTitle":"Birkhoff on Modern Fluid Mechanics","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/1tpLg8wB4AQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1tpLg8wB4AQ?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":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQGNsYWVzam9obnNvbjcxNjk=","name":"Claes Johnson","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Claes+Johnson","origUrl":"http://www.youtube.com/@claesjohnson7169","a11yText":"Claes Johnson. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":51,"text":"00:51","a11yText":"Süre 51 saniye","shortText":""},"date":"11 tem 2012","modifyTime":1341964800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1tpLg8wB4AQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1tpLg8wB4AQ","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":51},"parentClipId":"8946883806640137963","href":"/preview/8946883806640137963?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/8946883806640137963?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17244130658240542329":{"videoId":"17244130658240542329","title":"\u0007[Birkhoffs\u0007] Theorem for lattices and D5 mutation and firing frames | Dynamics on Graphs 27 | Wild ...","cleanTitle":"Birkhoffs Theorem for lattices and D5 mutation and firing frames | Dynamics on Graphs 27 | Wild Egg","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=v0-qu72Uu4U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/v0-qu72Uu4U?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":"d3d3LnlvdXR1YmUuY29tO1VDcmlGdjNHMjJpT1VpZFVoa0lHWHVodw==","name":"Wild Egg Maths","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Wild+Egg+Maths","origUrl":"http://www.youtube.com/@WildEggmathematicscourses","a11yText":"Wild Egg Maths. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1153,"text":"19:13","a11yText":"Süre 19 dakika 13 saniye","shortText":"19 dk."},"date":"8 tem 2023","modifyTime":1688774400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/v0-qu72Uu4U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=v0-qu72Uu4U","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":1153},"parentClipId":"17244130658240542329","href":"/preview/17244130658240542329?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/17244130658240542329?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6444748488936552541":{"videoId":"6444748488936552541","title":"\u0007[Birkhoff\u0007]'s theorem (relativity) | Wikipedia audio article","cleanTitle":"Birkhoff's theorem (relativity) | Wikipedia audio article","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=l1LLZth62mc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/l1LLZth62mc?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":"d3d3LnlvdXR1YmUuY29tO1VDU1h5VVlzU0tuT0FDa2tJMm1GMUYxZw==","name":"wikipedia tts","isVerified":false,"subscribersCount":0,"url":"/video/search?text=wikipedia+tts","origUrl":"http://www.youtube.com/@wikipediatts3527","a11yText":"wikipedia tts. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":194,"text":"3:14","a11yText":"Süre 3 dakika 14 saniye","shortText":"3 dk."},"date":"28 ara 2018","modifyTime":1545955200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/l1LLZth62mc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=l1LLZth62mc","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":194},"parentClipId":"6444748488936552541","href":"/preview/6444748488936552541?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/6444748488936552541?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6530308025019663371":{"videoId":"6530308025019663371","title":"\u0007[Birkhoff\u0007]'s ergodic theorem | Wikipedia audio article","cleanTitle":"Birkhoff's ergodic theorem | Wikipedia audio article","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ff8jRlkjDTQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ff8jRlkjDTQ?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":"d3d3LnlvdXR1YmUuY29tO1VDbW1rQlRoOEhhaXljQlpqT2M4Y1Zndw==","name":"wikipedia tts","isVerified":false,"subscribersCount":0,"url":"/video/search?text=wikipedia+tts","origUrl":"http://www.youtube.com/@wikipediatts6306","a11yText":"wikipedia tts. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1984,"text":"33:04","a11yText":"Süre 33 dakika 4 saniye","shortText":"33 dk."},"date":"18 şub 2019","modifyTime":1550448000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ff8jRlkjDTQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ff8jRlkjDTQ","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":1984},"parentClipId":"6530308025019663371","href":"/preview/6530308025019663371?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/6530308025019663371?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11197919750968190080":{"videoId":"11197919750968190080","title":"A Reading of \u0007[Birkhoff\u0007]'s Theorem","cleanTitle":"A Reading of Birkhoff's Theorem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_-lV8wRODBo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_-lV8wRODBo?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":"d3d3LnlvdXR1YmUuY29tO1VDenNtQWxvN05rVDhCbHFTNkQ3WHZ5dw==","name":"kibrika","isVerified":false,"subscribersCount":0,"url":"/video/search?text=kibrika","origUrl":"http://www.youtube.com/@kibrika","a11yText":"kibrika. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":788,"text":"13:08","a11yText":"Süre 13 dakika 8 saniye","shortText":"13 dk."},"date":"10 nis 2020","modifyTime":1586476800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_-lV8wRODBo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_-lV8wRODBo","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":788},"parentClipId":"11197919750968190080","href":"/preview/11197919750968190080?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/11197919750968190080?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6674576082013026970":{"videoId":"6674576082013026970","title":"George David \u0007[Birkhoff\u0007]","cleanTitle":"George David Birkhoff","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=zsXyjJaUSi8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/zsXyjJaUSi8?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":"d3d3LnlvdXR1YmUuY29tO1VDU3hzaTJ1TndtZXdnZXRJZXZldThwUQ==","name":"WikiAudio","isVerified":false,"subscribersCount":0,"url":"/video/search?text=WikiAudio","origUrl":"http://www.youtube.com/@wikiaudio956","a11yText":"WikiAudio. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":395,"text":"6:35","a11yText":"Süre 6 dakika 35 saniye","shortText":"6 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"22 oca 2016","modifyTime":1453420800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/zsXyjJaUSi8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=zsXyjJaUSi8","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":395},"parentClipId":"6674576082013026970","href":"/preview/6674576082013026970?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/6674576082013026970?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15003060593273713014":{"videoId":"15003060593273713014","title":"\u0007[Birkhoff\u0007] polytope","cleanTitle":"Birkhoff polytope","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XfGPNKYD9o8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XfGPNKYD9o8?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":"d3d3LnlvdXR1YmUuY29tO1VDU3hzaTJ1TndtZXdnZXRJZXZldThwUQ==","name":"WikiAudio","isVerified":false,"subscribersCount":0,"url":"/video/search?text=WikiAudio","origUrl":"http://www.youtube.com/@wikiaudio956","a11yText":"WikiAudio. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":232,"text":"3:52","a11yText":"Süre 3 dakika 52 saniye","shortText":"3 dk."},"date":"22 oca 2016","modifyTime":1453420800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XfGPNKYD9o8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XfGPNKYD9o8","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":232},"parentClipId":"15003060593273713014","href":"/preview/15003060593273713014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/15003060593273713014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1089339253132902107":{"videoId":"1089339253132902107","title":"\u0007[Birkhoff\u0007] - Halloween (Lyrics Video)","cleanTitle":"Birkhoff - Halloween (Lyrics Video)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=mRkGLEl_aqE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mRkGLEl_aqE?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":"d3d3LnlvdXR1YmUuY29tO1VDNDN0SUtJdmoyQVpwelJ2TTc0OGdTdw==","name":"Birkhoff","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Birkhoff","origUrl":"http://www.youtube.com/@birkhoffartist","a11yText":"Birkhoff. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":314,"text":"5:14","a11yText":"Süre 5 dakika 14 saniye","shortText":"5 dk."},"date":"27 eki 2024","modifyTime":1729987200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mRkGLEl_aqE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mRkGLEl_aqE","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":314},"parentClipId":"1089339253132902107","href":"/preview/1089339253132902107?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/1089339253132902107?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"741230350852961370":{"videoId":"741230350852961370","title":"Open Problems about \u0007[Birkhoff\u0007] Billiards","cleanTitle":"Open Problems about Birkhoff Billiards","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Y-uIPYkUjQo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Y-uIPYkUjQo?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":"d3d3LnlvdXR1YmUuY29tO1VDUUZMaDJRU3ZFUVNvR29TVFgwbFhEUQ==","name":"Oliver Knill","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Oliver+Knill","origUrl":"http://www.youtube.com/@OliverKnill","a11yText":"Oliver Knill. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":555,"text":"9:15","a11yText":"Süre 9 dakika 15 saniye","shortText":"9 dk."},"date":"28 eyl 2024","modifyTime":1727481600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Y-uIPYkUjQo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Y-uIPYkUjQo","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":555},"parentClipId":"741230350852961370","href":"/preview/741230350852961370?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/741230350852961370?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2847904710748269856":{"videoId":"2847904710748269856","title":"Billiard dynamics and the \u0007[Birkhoff\u0007]-Poritzky Conjecture","cleanTitle":"Billiard dynamics and the Birkhoff-Poritzky Conjecture","host":{"title":"YouTube","href":"http://www.youtube.com/live/zHugvX1kXug","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/zHugvX1kXug?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":"d3d3LnlvdXR1YmUuY29tO1VDSWlNOUpHaVUwMUpUaTFqQ1FCUGFVdw==","name":"Association for Mathematical Research","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Association+for+Mathematical+Research","origUrl":"http://www.youtube.com/@amathr","a11yText":"Association for Mathematical Research. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":394,"text":"6:34","a11yText":"Süre 6 dakika 34 saniye","shortText":"6 dk."},"views":{"text":"9,5bin","a11yText":"9,5 bin izleme"},"date":"27 kas 2021","modifyTime":1637971200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/zHugvX1kXug?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=zHugvX1kXug","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":394},"parentClipId":"2847904710748269856","href":"/preview/2847904710748269856?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/2847904710748269856?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5028842564255670014":{"videoId":"5028842564255670014","title":"\u0007[Birkhoff\u0007] flowerfield [outrun/retrowave]","cleanTitle":"Birkhoff flowerfield [outrun/retrowave]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=bJKrX-ONSSw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/bJKrX-ONSSw?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":"d3d3LnlvdXR1YmUuY29tO1VDbENkUDFKRkZxdUtvQXRzNFU2cEhIdw==","name":"Robot Synth Dream","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Robot+Synth+Dream","origUrl":"http://www.youtube.com/@RobotSynthDream","a11yText":"Robot Synth Dream. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":271,"text":"4:31","a11yText":"Süre 4 dakika 31 saniye","shortText":"4 dk."},"date":"8 eki 2020","modifyTime":1602187211000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/bJKrX-ONSSw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=bJKrX-ONSSw","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":271},"parentClipId":"5028842564255670014","href":"/preview/5028842564255670014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/5028842564255670014?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8834948081515072415":{"videoId":"8834948081515072415","title":"\u0007[Birkhoff\u0007]- Escape","cleanTitle":"Birkhoff- Escape","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0Ke5sJbB2xE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0Ke5sJbB2xE?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":"d3d3LnlvdXR1YmUuY29tO1VDNDN0SUtJdmoyQVpwelJ2TTc0OGdTdw==","name":"Birkhoff","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Birkhoff","origUrl":"https://www.youtube.com/channel/UC43tIKIvj2AZpzRvM748gSw","a11yText":"Birkhoff. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":201,"text":"3:21","a11yText":"Süre 3 dakika 21 saniye","shortText":"3 dk."},"date":"13 eyl 2020","modifyTime":1599955200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0Ke5sJbB2xE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0Ke5sJbB2xE","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":201},"parentClipId":"8834948081515072415","href":"/preview/8834948081515072415?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/8834948081515072415?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"69055804474588986":{"videoId":"69055804474588986","title":"Garrett \u0007[Birkhoff\u0007]: The Hidden Architect of Quantum Logic","cleanTitle":"Garrett Birkhoff: The Hidden Architect of Quantum Logic","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=D8lqmchwF2c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/D8lqmchwF2c?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":"d3d3LnlvdXR1YmUuY29tO1VDZXdFTnZZQUF3RVRIU0xISXlkY3E3Zw==","name":"Quanten Deep-Dive Podcast","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Quanten+Deep-Dive+Podcast","origUrl":"http://www.youtube.com/@Quanten-Deep-Dive-Podcast","a11yText":"Quanten Deep-Dive Podcast. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":856,"text":"14:16","a11yText":"Süre 14 dakika 16 saniye","shortText":"14 dk."},"date":"5 mayıs 2025","modifyTime":1746403200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/D8lqmchwF2c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=D8lqmchwF2c","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":856},"parentClipId":"69055804474588986","href":"/preview/69055804474588986?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/69055804474588986?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17008153317885135622":{"videoId":"17008153317885135622","title":"June Barrow-Green: George \u0007[Birkhoff\u0007]’s forgotten manuscript and his programme for dynamics","cleanTitle":"June Barrow-Green: George Birkhoff’s forgotten manuscript and his programme for dynamics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MDIDqGIIpuQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MDIDqGIIpuQ?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":"d3d3LnlvdXR1YmUuY29tO1VDTUhMdW42amQtY01QblhoYzJKcVdQdw==","name":"International Mathematical Union","isVerified":false,"subscribersCount":0,"url":"/video/search?text=International+Mathematical+Union","origUrl":"http://www.youtube.com/@InternationalMathematicalUnion","a11yText":"International Mathematical Union. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2656,"text":"44:16","a11yText":"Süre 44 dakika 16 saniye","shortText":"44 dk."},"date":"12 tem 2022","modifyTime":1657624497000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MDIDqGIIpuQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MDIDqGIIpuQ","reqid":"1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL","duration":2656},"parentClipId":"17008153317885135622","href":"/preview/17008153317885135622?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","rawHref":"/video/preview/17008153317885135622?parent-reqid=1769436416866401-2302743360294929825-balancer-l7leveler-kubr-yp-sas-48-BAL&text=Birkhoff","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x001cd987dbd","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"2302743360294929825748","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":"Birkhoff","queryUriEscaped":"Birkhoff","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"}}}