{"pages":{"search":{"query":"TheBeautyofMath","originalQuery":"TheBeautyofMath","serpid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","parentReqid":"","serpItems":[{"id":"17942927806679964947-0-0","type":"videoSnippet","props":{"videoId":"17942927806679964947"},"curPage":0},{"id":"7303139669799062628-0-1","type":"videoSnippet","props":{"videoId":"7303139669799062628"},"curPage":0},{"id":"2277111348074549997-0-2","type":"videoSnippet","props":{"videoId":"2277111348074549997"},"curPage":0},{"id":"15427840575315084728-0-3","type":"videoSnippet","props":{"videoId":"15427840575315084728"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dFRoZUJlYXV0eW9mTWF0aAo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","ui":"desktop","yuid":"5482667141769748702"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"1990575436991276119-0-5","type":"videoSnippet","props":{"videoId":"1990575436991276119"},"curPage":0},{"id":"1573941493961165757-0-6","type":"videoSnippet","props":{"videoId":"1573941493961165757"},"curPage":0},{"id":"794915094523105720-0-7","type":"videoSnippet","props":{"videoId":"794915094523105720"},"curPage":0},{"id":"17019711520349219889-0-8","type":"videoSnippet","props":{"videoId":"17019711520349219889"},"curPage":0},{"id":"17971577213223148048-0-9","type":"videoSnippet","props":{"videoId":"17971577213223148048"},"curPage":0},{"id":"12566218260697973503-0-10","type":"videoSnippet","props":{"videoId":"12566218260697973503"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dFRoZUJlYXV0eW9mTWF0aAo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","ui":"desktop","yuid":"5482667141769748702"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"17135485446747762369-0-12","type":"videoSnippet","props":{"videoId":"17135485446747762369"},"curPage":0},{"id":"3121477572132426236-0-13","type":"videoSnippet","props":{"videoId":"3121477572132426236"},"curPage":0},{"id":"6856677608212468265-0-14","type":"videoSnippet","props":{"videoId":"6856677608212468265"},"curPage":0},{"id":"8438169921620633707-0-15","type":"videoSnippet","props":{"videoId":"8438169921620633707"},"curPage":0},{"id":"8355278477561672040-0-16","type":"videoSnippet","props":{"videoId":"8355278477561672040"},"curPage":0},{"id":"16511358282355335932-0-17","type":"videoSnippet","props":{"videoId":"16511358282355335932"},"curPage":0},{"id":"16215568366152082273-0-18","type":"videoSnippet","props":{"videoId":"16215568366152082273"},"curPage":0},{"id":"11935225374217761387-0-19","type":"videoSnippet","props":{"videoId":"11935225374217761387"},"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,"correction":{"items":[{"kind":"misspell","url":"/video/search?text=The%20Beauty%20of%20Maths","params":{"text":"The Beauty of Maths"},"query":"The Beauty of Math\u0007(s\u0007)","helpUrl":"https://yandex.com.tr/support/search/info/request-correction.xml","helpTarget":"_blank","helpAriaLabel":"Yazım hatası düzeltme servisi"}],"id":"703759312549"},"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":"dFRoZUJlYXV0eW9mTWF0aAo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","ui":"desktop","yuid":"5482667141769748702"}}},"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%3DTheBeautyofMath"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"8620219025780956407149","expFlags":{"velocity_delay_drawer":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"video_morda_header_nav":1,"video_nohost_full_filter":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":["1466868,0,6;1457616,0,46;1471439,0,18;82358,0,20;1473738,0,67;1476205,0,76;1460717,0,60;1459297,0,51;1465969,0,1;1459323,0,32;1471623,0,63;1461704,0,77;1474907,0,46;9346,0,44;1464523,0,94;1470249,0,82;1463532,0,87;1373787,0,37;1470858,0,99;708540,0,63;1467148,0,26;1452016,0,14;1146115,0,78;1064473,0,6;1470515,0,64;1477469,0,61;1473864,0,59;1404022,0,38;724635,0,3;1471184,0,77;1475773,0,78;1477173,0,90;259954,0,30;46451,0,40;151171,0,82;126317,0,39;126353,0,40;1281084,0,1;287509,0,62;1447467,0,99;1466397,0,74;912287,0,74"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DTheBeautyofMath","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=TheBeautyofMath","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":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=TheBeautyofMath","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"TheBeautyofMath: 3 bin video Yandex'te bulundu","description":"\"TheBeautyofMath\" sorgusu için arama sonuçları Yandex'te","shareTitle":"TheBeautyofMath — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y698477d17780101ae97b5833b886582e","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1466868,1457616,1471439,82358,1473738,1476205,1460717,1459297,1465969,1459323,1471623,1461704,1474907,9346,1464523,1470249,1463532,1373787,1470858,708540,1467148,1452016,1146115,1064473,1470515,1477469,1473864,1404022,724635,1471184,1475773,1477173,259954,46451,151171,126317,126353,1281084,287509,1447467,1466397,912287","queryText":"TheBeautyofMath","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"5482667141769748702","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1099741,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1152703,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1281110,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1364920,1478181,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769748703","tz":"America/Louisville","to_iso":"2026-01-29T23:51:43-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-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":"1466868,1457616,1471439,82358,1473738,1476205,1460717,1459297,1465969,1459323,1471623,1461704,1474907,9346,1464523,1470249,1463532,1373787,1470858,708540,1467148,1452016,1146115,1064473,1470515,1477469,1473864,1404022,724635,1471184,1475773,1477173,259954,46451,151171,126317,126353,1281084,287509,1447467,1466397,912287","queryText":"TheBeautyofMath","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"5482667141769748702","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":"8620219025780956407149","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":145,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":false,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":false,"wildcard":true,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"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,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":false,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":false,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"userAvatarUrl":null,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"5482667141769748702","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1758.0__92da10e6e1e89374a81e86c5e5366c3357f68658","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}}},"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","feedback":"296","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"17942927806679964947":{"videoId":"17942927806679964947","docid":"12-9-17-Z970547C1ADF087C8","description":"Animation made in Manim 🎬 Explore the fascinating world of mathematics, where beauty and logic meet! From stunning fractals to mysterious prime numbers, discover the patterns that shape our...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/752126/ffb162c1dbdfb5ec0126bf8f5197fbf7/564x318_1"},"target":"_self","position":"0","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics Explained with Animation! | Matematiğin Güzelliği !#shorts","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1ZoEUSoav2M\",\"src\":\"serp\",\"rvb\":\"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_EwmCBCQBgAQrKosBEAEaeIH7C_4A_wEABPURBPsJ_AL2Be_5-P38APUA9fQDAv8A_fYHBAIAAAD7BfX8_wAAAPby_Qn3_wEABvf1DQIAAAAH-Qf59AAAABYIAvX-AQAA9foG-QIAAAANFQoBAAAAAPr9Av39_gAA_AgIBQAAAAAICfsDAAAAACAALQhh1Ts4E0AJSE5QAipzEAAaYAYGADIoAfG5FxPw0ODh_wTqA9UW2P8AAgT_8AgE3R0fzssFIP8n3RHeuQAAAAH9Bu8aAMtd1Nfn9iT5Arjn-gwgf_IX9QhQEPzFFevSACX_9M_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-AAAQPQAAkj4AAIC7AAD4vQAA5j4AANg9AABPvwAA0r4AAFC9AACGPgAAiL0AAEA8AADiPgAAjr4AAIK-AADePgAAUD0AAEC8AADCPgAAcT8AACy-AACqPgAAXL4AAIi9AAC6vgAA2D0AAFy-AAA0PgAAfD4AALo-AAA8vgAAXD4AAEw-AABEvgAARL4AAKA8AAC6vgAAFb8AADS-AAB8vgAA-L0AADw-AAAkvgAA0r4AAJK-AABsPgAATL4AAFC9AABMvgAA6D0AAMa-AAAMPgAARD4AALg9AABAPAAAfz8AADw-AADYvQAA4DwAAIC7AAA0vgAAfD4AAPi9IAA4E0AJSHxQASqPAhABGoACAAA8vgAAoDwAAOA8AAAnvwAAEL0AAPi9AACCPgAAcL0AAFA9AACAOwAAFD4AAFS-AAD4PQAAbL4AAAw-AABQvQAAmD0AACM_AACAuwAAoj4AAAw-AACYvQAAyD0AAAy-AADoPQAAgDsAACy-AADIPQAA4DwAAOA8AAAQPQAAqD0AABS-AABwvQAAhj4AAOi9AACgPAAAqD0AAHS-AAAUPgAAbD4AAOi9AACgPAAAoDwAAJi9AAAQvQAAf78AALg9AAAUvgAAmL0AAOA8AACIPQAAcL0AAAQ-AACIPQAAyD0AAHC9AADgvAAAQLwAAJi9AACgvAAADL4AAPg9AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=1ZoEUSoav2M","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["17942927806679964947"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7303139669799062628":{"videoId":"7303139669799062628","docid":"12-11-6-ZB1D59052A7480A1C","description":"Animation made in Manim Explore the fascinating world of mathematics, where beauty and logic meet! In this video, we'll take you on a journey to uncover the mind-blowing secrets and patterns tha...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3767482/be036fbb29d94d737e516dfe7be23e10/564x318_1"},"target":"_self","position":"1","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=THQWhMkij2E\",\"src\":\"serp\",\"rvb\":\"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_EwmCBCQBgAQrKosBEAEaeIH3BPr--gYAA_oNDQUK-gLuDfkF-v7-AP8D__z5Bf4A-gX_Bg8AAAD6CvsDAgAAAPb8CQv1_wEABAT4BwMAAAAYBwj6AQD_ABwAAfr-AQAA-AEK_gIAAAAMFAkBAAAAAPYA__oDAAAA-gIDBwAAAAAHCPsDAAAAACAALVpU5Ds4E0AJSE5QAipzEAAaYPcYAC8bCOrREyH53fDX8AcRFeQC8_MA9g0A9gIS-B8V694EC_8B5RXaxQAAAAnqGQIJAMROzNDf_SEHE-Xu_AkPf_IO_Ps3BgbWDfrQ6R8S88_tLADr-NoWGCD8KwUqPiAALRFwXjs4E0AJSG9QAiqvBhAMGqAGAABQwQAAgEAAAGBCAACgwQAA0EEAAExCAACCQgAAhsIAAMjCAABwwQAASEIAAOjBAACwQQAA0MEAAIDAAABIQgAAcMEAADRCAACQQQAA-MEAABxCAACoQQAAIEEAAPBBAAC4QQAA4EAAAJjCAAAwwgAABEIAANhBAADgQAAA4EAAAMjBAADYQQAANMIAAFDCAAA8wgAApkIAAOBBAACIQgAAIEIAAIA_AADAQAAAqEEAAODAAADAwAAAUEEAAADAAACgQgAAWMIAAIBBAAAQQQAAwMEAAHDBAAC4wQAA-MEAANTCAADwQQAAIEEAAMhBAADgQQAAIMEAALhBAABwQQAAbEIAAGDBAAAQQgAAYMIAACDCAACYQQAAQEIAAHBBAACOwgAAOEIAABhCAABQwQAAlMIAAMhBAABwwQAAbEIAADTCAADYQQAAoMAAAKjBAAAAwgAAKEIAACxCAADYQQAAhEIAAADAAAAEwgAAqEIAAHBBAACOwgAA-EEAAJjCAACgQQAABMIAAKDBAACgwAAAwEAAAIDBAACoQQAADMIAAIjCAAAAwAAACEIAAKBAAACAQQAA2EEAALpCAADgQQAAOMIAABBBAABAQgAA8EEAABDCAACAwgAAlkIAAADDAADgwAAALMIAAKDBAACAvwAANMIAAIBAAACYwgAANMIAAKzCAAAEQgAAZEIAAIA_AAD4wQAAWEIAADRCAACAQQAA4EEAAIBBAACgwAAAMMIAAFTCAAAMQgAAgD8AADTCAACGQgAAIEEAALDBAACAQQAA2EEAAGBCAADwwQAAFMIAAFDBAACgwAAAgEEAAARCAACOwgAAUMEAAAjCAAAAQAAAaMIAAAAAAAAwwQAAiEEAAJhBAABEwgAAQMIAADDBAABkQgAA8EEAAKDAAACgQQAAuMEAAKjBAABowgAAkMEAAATCAAAQwgAAAEAAAExCAACAvwAAmMEAAPjBAACQwQAAgMEAAEDBAAAwwQAAQEEAAETCAADIQQAA0EEAABzCAACgQgAAAEIAAIDAAABgQgAA4MAAAMTCAACAPwAABMIgADgTQAlIdVABKo8CEAAagAIAAHy-AAAMvgAABD4AAHC9AAAUPgAAnj4AAFC9AAATvwAAlr4AAAw-AACoPQAA-L0AAPi9AABcPgAAgLsAAIq-AADePgAA4DwAAEA8AADePgAAfz8AAJi9AACGPgAAUD0AALi9AAC2vgAAoDwAAPi9AACePgAAgj4AAGQ-AABAvAAAdD4AAFA9AABwvQAAyL0AAFA9AAAsvgAABb8AAKi9AABcvgAAXL4AABQ-AABUvgAAZL4AAFy-AAAMPgAANL4AANi9AAA0vgAANL4AAFy-AADuPgAA-j4AAFC9AADgPAAAWT8AADQ-AAAQvQAAiD0AAAS-AADYPQAAPD4AADC9IAA4E0AJSHxQASqPAhABGoACAAAsvgAAED0AAEy-AAAxvwAAir4AAIi9AADmPgAAgDsAAJo-AAD4vQAA4DwAAIK-AACAOwAARL4AAOC8AADgPAAAmD0AAPY-AAAUvgAA0j4AAOg9AAAwPQAAyL0AAAy-AABAvAAADD4AADC9AAAUPgAA4LwAAFC9AADIPQAABD4AAMi9AAAMvgAAiD0AALi9AACSPgAADD4AAGS-AAA8PgAA4j4AADS-AACAuwAAyD0AAOi9AAAQPQAAf78AAKC8AACKvgAAqD0AAMg9AAAEPgAA-L0AAOA8AAC2PgAAND4AAAS-AABwPQAAMD0AAIi9AABQPQAANL4AAOi9AAAsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=THQWhMkij2E","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["7303139669799062628"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"2277111348074549997":{"videoId":"2277111348074549997","docid":"12-6-9-ZE848CBC22390C4AB","description":"Embark on a mesmerizing journey through the enchanting world of mathematics in this captivating video. From the intricate patterns of fractals to the graceful curves of Fibonacci spirals, explore...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3748151/9c6273fc1dd8e157ab30e6434b486d4c/564x318_1"},"target":"_self","position":"2","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics (Why Math is Beautiful)","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LA0OdFGanLM\",\"src\":\"serp\",\"rvb\":\"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_78AP4DAAP6DQ4GC_oC8AX_APr__gD1BfX99gL_AAYABwcLAQAA9gT5AvgAAAD1_AkL9P8BAA0G9QMEAAAAFQX98fwAAAAVBf8A_gEAAPX3BwIDAAAADRUKAQAAAAD-__37AgAAAPwICAUAAAAABxf1Bf8AAAAgAC0AU9s7OBNACUhOUAIqcxAAGmD1BQAnGgrpyBAc9tn4zAL9FwfUAOjsAAINAPAFEPgcDffkDQUAE84d2sUAAAAK-wwGCgDSUdHa2vwZ-xLx2fwUDX_-__X8IAz9zCDs0OkbEu_FBj4A-u3cDhYoCSryPi4gAC3-MFo7OBNACUhvUAIqrwYQDBqgBgAAgMAAAJjBAACqQgAAkEEAAMDAAACAvwAAjkIAAGzCAABwwgAAgD8AAKxCAACgQAAA0EEAAKDAAABwQgAAJMIAABDBAADoQQAARMIAABjCAADoQQAAIEEAAGDCAADAQQAAgEAAAIA_AAAwwQAAAMAAACxCAABgQQAAJEIAAFBBAAC4wQAAqEEAAIhBAABcwgAAYMIAAPJCAABQQQAAnkIAAADCAACAQAAAUEIAAGDBAAAwQQAAQEAAAPhBAADAwAAA8EEAAGTCAABAQAAAHEIAAEBAAAAwQQAABEIAAIA_AACuwgAAMMIAAEhCAACAQQAA2EEAADhCAACAvwAAyMEAAOhBAAAwQQAAIEEAAIDAAABIwgAAJEIAAKBAAADwQQAAKMIAACRCAADAQAAAhMIAADDBAAAAQAAAZMIAAARCAAAIwgAA-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-AACAuwAAY78AAAy-AACYPQAAQLwAAKa-AABkvgAAZD4AALi9AAAQvQAAHz8AAOC8AABQPQAACz8AAH8_AABEvgAA_j4AAOi9AACAOwAATL4AADA9AAAwvQAAnj4AANo-AADWPgAAiL0AAIY-AAAQPQAALL4AAJg9AACovQAAZL4AANa-AABAPAAA3r4AAGS-AAAUPgAAoLwAAKa-AACOvgAAcD0AAKK-AACWvgAALL4AAES-AACmvgAAhj4AAO4-AACAuwAAUD0AAHk_AACqPgAARL4AAEC8AAA0vgAAVD4AAGQ-AABcviAAOBNACUh8UAEqjwIQARqAAgAAmr4AAAw-AAC4vQAAJ78AAAy-AAAcvgAADT8AAOC8AADWPgAANL4AAAQ-AAAUvgAAQLwAAIK-AACgvAAABD4AACw-AAD-PgAAiL0AAMI-AAB8PgAADD4AADy-AAC4vQAAoLwAAFQ-AACAOwAAZD4AAFy-AACovQAAyD0AADQ-AAAwvQAAiL0AAJg9AACYvQAAij4AAIC7AACavgAAuD0AAM4-AAB8vgAAED0AAKg9AACIPQAAEL0AAH-_AACovQAAnr4AAKA8AAAEPgAApj4AADy-AACIvQAAmj4AAFw-AAAkvgAAQLwAAHQ-AAAQvQAAEL0AALK-AAA8vgAAnj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=LA0OdFGanLM","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2277111348074549997"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15427840575315084728":{"videoId":"15427840575315084728","docid":"12-9-14-ZE6EC322FAC62D28B","description":"I've asked my colleagues, algebraic geometers, to share with general audience their favourite examples of the beauty of math! See what happened :) Cast: Gabriela Guzman...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3052301/b23af083a4271e5d1f932972c05db2a4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7Pt38QEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The beauty of math in personal examples","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0Nt2tXNz8sQ\",\"src\":\"serp\",\"rvb\":\"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_E-APggQkAYAEKyqLARABGniB8_8DC_0DABYDBgf6Cv0B9RT-Afj9_QDpAfj7-f4BAPf5APcBAAAA8wcCB_cAAAAHBgMF-f4BAAYFBfsEAAAAHwz9-fsAAAAIAwcH_wEAAPT7_vwDAAAAEQkIAf8AAAAF9voFAgAAAf4PBQAAAAAACgL1AQAAAAAgAC1Csds7OBNACUhOUAIqhAIQABrwAX8JAQPPBgz-EvHzAN7oAQDH-PYAEw_2AMf_AADEDdv_8xL5ANPtC_8QCAgA0QMQAObd0gH39g8AEf8EAEIQD_8HC_oAGuL3ASj95wH_9t__EgIE_wcJE_8lAf7_Khf9__0DK__fCfUALPryABACFQDzFAsCAPsK_gT5BgLo_f0CDPju_P35BQXFCvj_4wwHA9T7FwH1FAr69voPAhX04_8Z-fb-Fv38BxkJ-gMG8wLz9-gB_O37-P8DBR7_9BwFB_3i_wTzBgf8-Q769ynt9P74Gw___O8DBv8U6wUL2_v2-wf8_vwEBvnxAf3-9QkA_yAALbN0Vzs4E0AJSGFQAirPBxAAGsAHFysKvyM_jrU81Yg7a3InPbmRLT2SOTs8fKGbPCLdFD2AxGU8b_QSvIg4zDxXX908WcBUvgSMjDkqz9c8_tWLPiDEnzyGqTE7cT1avucWvz2FTKi8TMQ7voKcRbtWMte6PXvDPf0QQD3VDW-8wDdyO15anrxVNdw85QvaPeHGGDzuEu66pJiTumo0ubqRd_O8U5cMPg6GurxPe6U8vFruPUBjS7wrAac87cgCPSsSODyRNiO8I50DvM3aNzw3nEM8tYwkPj--6bxka4c86Lc0PUcvNDznVw48qDMcvTQ_SL3vUBi7wNMBPB_DPrxmjkA8uyrAPaZsJz3yZX08ZRdcvninjDwoBLy77IbtPYz3gz1yW5E7zCJau-wvAD2cFrw7JalxvJufvD3gha28SxcHPf-JGz00z1s80ICVPUOQgzzBfZG7_pAIvfoVIzxne3S8R6xFvcMmVz2-YYk6dQzjvA2nDDwQy-o6C7jnvXZQiTtbhJi8z08svYcMdTzyfAI7kYuQPYrR77pVK9k6yaw-Pu2for3Vb8870Y-ru-Q0H72ykTW8vazkPJpaOz0lriM83BHOPfGT9jrK_FM5ixfLPCYGmjuYama8Y3XAPX1RDL1aZyI69Bq7PMVRHr2aedE7cMGIPAeVnbzwcBq8Qj0iPC1xaT1Z6aQ7dVsCvsNW_7wrz-S5GpyNPeTHDj2eke-73bVxul6LEb1lIt-6VPqePZroOL14Wk84xUCyPA-byLyyVoe5yOpWPHYe8DzU70K7tUOCPYHW1zxW5_U4SqFnPekHmjzzGic5XvhcvY2CuzymwVo3LBbKPYXYEbwme4u5ixSvvMDFVDzyu9y5iYqyvYBQLb3tYRw5sTRQPWQzgT1NFDQ5FXAPvd2CAL2VP2y5vLS8O94EPz3wrKU5ZyzavK0kSD3PDDC3W9pfvNImHT1I3tG4rqpNPdjDWzrjz4o5bQuFvNjDsDrR3kE47Lmvu8XBmr0TgHY5OeWbvH1v3TwYt_y3RhomvX7XET1QACO3i4UmvU3Bdb2r6uo4gTpKPW3YQL05Hq-3mLyiOyLrgLtZcMA46K_GvFNAOr0Rajg4eCOYPIJnDD2TEdE4nquXPUtph70YaaA4XUrCvBHpwr3eR504FU4XPQEj3Ls5Q5m4iBc_vXKTx7x3zya4YzNWPXZRtL0_m504OkoUvR23Trxf9Ni35NWevHqJ8b1lVTC4ak8ZPqlumT0IAjK3OaELvdEQhD3l09W4squPvXy6-jxzlDQ3zWdvvSH0Ir2jUNK3IAA4E0AJSG1QASpzEAAaYDgAAEgNGQnJEEfdrukE-fD6Peka7vr_FBr_2gUQ_Eol6cAUEv8XqgPEowAAABbd_egrAOZ_vvLmDCjnFtrZAPr_d-YwF-YTU-658N7i1QQ7-O_ofwDd240eRP33KgEuLSAALX8yGDs4E0AJSG9QAiqvBhAMGqAGAADoQQAA8MEAAEBAAACYwQAASMIAALBBAAB0QgAAcMEAAIrCAABAwAAAAEAAAEjCAACIwQAAUMEAAEhCAAA4wgAAKEIAAIjBAABAQQAADMIAAETCAAB0wgAACMIAAMDAAABUwgAAyEEAADTCAADQQQAAiEEAADhCAAAowgAAyMEAAKjCAAAcQgAAmMIAAADAAAAUQgAAuEIAAIjBAABMQgAA8EEAABzCAACEQgAAwMAAADBBAABgwQAAqEEAAAhCAACAwAAAgMAAADTCAACAwAAAgL8AADBBAAAQQQAA4EAAAFzCAAAgQQAAIEEAAPBBAACIQQAA6MEAAFjCAABcwgAAVMIAAITCAAAUwgAATMIAAIDBAAAwwQAAZEIAAIhCAAAUwgAAFEIAAMDBAADOwgAAoMIAAIDAAACAPwAAsEEAAGTCAACCQgAAyMEAAIA_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-D0AAKg9AAB8PgAAmj4AAJg9AAAjvwAA4r4AAGQ-AABQvQAADL4AAFS-AAC6PgAAHL4AAFy-AACuPgAAcD0AALg9AAATPwAAdT8AAAw-AABsPgAAML0AAEC8AAC4vQAAcD0AAAy-AAA8PgAAZD4AAHw-AADIPQAAkj4AAIA7AABwvQAAiL0AADQ-AACWvgAA5r4AAEw-AAB0vgAAVL4AABw-AAAMvgAAkr4AAJi9AABAPAAA-L0AACS-AAAcvgAA4LwAAIq-AACWPgAA1j4AADS-AACgPAAAfz8AAOA8AABAPAAAuL0AAIa-AABEPgAAHD4AAHy-IAA4E0AJSHxQASqPAhABGoACAADqvgAA6L0AAAS-AABBvwAA6L0AABy-AADKPgAAuL0AAFQ-AABUvgAAmD0AADS-AAA8vgAA-L0AABA9AACoPQAAJD4AAPY-AACgPAAAvj4AANg9AABcPgAAPL4AAHC9AABAvAAAPD4AAMg9AAAEPgAAgDsAAOg9AAAUPgAAbD4AAIK-AAD4vQAAFD4AAFC9AACuPgAAyD0AALa-AACYPQAApj4AAMi9AADYvQAAhj4AABC9AACYvQAAf78AACy-AAAkvgAAyD0AAPg9AADoPQAAHL4AAEC8AADOPgAAPD4AAIi9AAAsPgAAyD0AAPi9AABEPgAAqL0AAHC9AAAQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=0Nt2tXNz8sQ","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15427840575315084728"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1234426792"},"1990575436991276119":{"videoId":"1990575436991276119","docid":"12-9-13-Z7EFD3D0F00B54A64","description":"Explore the fascinating world of mathematics, where beauty and logic meet! In this video, we'll take you on a journey to uncover the mind-blowing secrets and patterns that govern our universe.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1790271/17ef3ee4024dd10255f330fcdbff05ad/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/VlvzRgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"the beauty of mathematics #math #beauty","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DF6j-lrau90\",\"src\":\"serp\",\"rvb\":\"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_voGAAP6DQ0FCvoC-gP_Afn9_QD_A__8-QX-AAD-AQMHAQAA9wT5AvkAAAD8AgME9v4BAAYD_QEEAAAAFQX98vwAAAAL_wX6_wEAAPb-AwQDAAAADBQJAQAAAAD9Bvj6AgAAAPoBBQAAAAAABwj7AwAAAAAgAC1aVOQ7OBNACUhOUAIqhAIQABrwATHaJvqQ-OP6QdvtAPYD7AGBFfD_CwfK__MG7AA-_NcA69r8ABX29AAgF_UB2AwgAP3pGv8C-jUAG-ofAN7x6AABFhAB8AMcAAsAFwHh_hX_zgwJAdfqDAD6CeUA9gPXAej-0f_5BAz88-vs__zwJgAcBPIE-98PA_4LIf0v4RP_3xvy_AEN8AgT2er-6AwPBvEtAAEM9__7BA4CANnkCwIG8hP4HCANAAf78gAHH-kACRME89779PkY5-v99ysTAvEW_Pv09f79GPb19Rvu_Q3ZFOv6-AQAB_sB-QMg4_IB0vH3_CYF5wf1ERcGGBr7BiAALVH0NTs4E0AJSGFQAirPBxAAGsAHH7zOvrESmDtG7cA70rqnvbhAIj1VZYS89pJrvXg-KLzBi7O9_tICvmfnXj0lfya9vY6QvnznXL3Ypik7mQeVPRudg71XgEo8YsrGvVrAXzwD5zG8YeNKvuGzpb3Zors7Xz_pPDfnmrsjrLy8XPhrvZReZbxfW4U7X2VIPNCdYDzzmFy8oIgFPhlAU7yQCV-7Pz9nPXthl7zSCw68dzHtPY8AKb12lhE8eWWLug_Jqr1RC0q8eraova7iw7spi-s7EQAsPpZbGj3bHe08nS7rva9Pb7xfmsO7-SlTvQQDCDxvuXo8Y_rEPcnet7yKz_i75UTbPTWHOj0Jvo68-aAHvvQamz0vgYA7dK3iPCqM7T3tEP-8TgKlPPSdqbsNTJO8SgYjvArPtjuFphY9xYKQuwCFozutA5a81IXzPLrSVzwziUG6yx7XvHZhtTwN_Cg77YYoPfSBLr1uyks8R2I4vG0bhjwnMpQ7ZiQMPc84w7xsuwG80dShvCjREj2Mf8S8WtuvPWQciLzuF_28bp6PvVYhn70XYIQ8HtOUPRRJir0HgXC8T63-PDqv8byjKpy8sduMvXGEtr1jrAA8VkDwuc9-iT2hxnM8Xf6eO4C2Fb5dg0a7StPgvWMghD21P-k7YhAYPWhlMb3AQ027fTuuu7Wlzj0-auG6BjCAPJ1rc70XBpO7RTG3u48Y3T1Nn3c6-RuIPJuu5z2Vqwq6Ul8bPVlhhLxteVg5B9APPh0WNLwaPHO6asJ2PMOrNj2FTL251Td1PSsWj73usMs5Lug4vZ4qGr0bJj-6CH8VvVtErz2Ygfg49VhkvYr4WD2SlW04GdHRvN1cHbzj9a-59f1vPc3GrzzO4GS4Kcz7vErfNbyFYNE5hp7eO6t1Yr1J1f-5U1M3PROnibxqjiW46nYGPlLeXT03OPg1LE1lPTdMuT1jxlS4PlwSPn1Mij18aeC5u2Ztva7jTj2zLiO3GcopvUMxvj1KQHm4UIiFPUYIbz0f1iY4fxVAPZvWnLxz5Xg4ss0XvXHa3TwO5qy4uYI3vDY9ZrvpH4s4B6havf57ID6ma5U5xIiDva9ybT0Za6o4L8hRPc9V6bz5UjM4HNmwPUAXjbzUK-E3MrIfPe4hAb00_Vy4raf2PbPqmLx7Ozq5ataOPX8T6r2Mxbi4BR8ZvZ_TIj1-7Y03NTm2vfNdhDo4DVw3uHMBPcwrgr0vZnS4xGhsPSianzm9WcM3zo7UvBdQY71Nl2e4b8j1vL2zbD2_NzY4wnexvb-wsb2knq02IAA4E0AJSG1QASpzEAAaYOsTACgGG-fgFRf91ezgBvbw_sIL7gEA_gP_8gckDyUM-NQMAAD82hHVwQAAAAjlGA4HANJQwN3yDgoBGNHaExX-fwsYBOQ5ChbSFg7Y1QUt_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-EEAAJDBAADgQQAAAMAAAMjBAABgQQAAMEIAAPjBAABAQgAAYEEAAGDBAAAAwAAAgEAgADgTQAlIdVABKo8CEAAagAIAAIq-AABMvgAAgDsAAOi9AAA0PgAAwj4AABA9AAAfvwAAnr4AAKg9AACAuwAARL4AADS-AAD4PQAAQLwAAHy-AAATPwAAgLsAAIA7AAAXPwAAez8AAEC8AACWPgAAQLwAAHA9AAC6vgAAuL0AAFC9AABkPgAAvj4AAJo-AAAQPQAAoj4AANg9AAAUvgAADL4AANg9AAAsvgAAA78AAFA9AADKvgAAXL4AAKA8AAAMvgAAbL4AAES-AACYPQAArr4AAGy-AAD4vQAA6L0AAKK-AADuPgAA9j4AADA9AADgPAAAfz8AAI4-AAAwvQAAgLsAAEy-AAAUPgAA2D0AAAS-IAA4E0AJSHxQASqPAhABGoACAACWvgAALD4AAFy-AAA_vwAAkr4AAOi9AAAHPwAAoLwAAOo-AACGvgAAED0AAHy-AADgPAAAVL4AAIC7AABQPQAAoLwAAPI-AAAkvgAAtj4AAHw-AABQvQAAML0AAMi9AAAQvQAARD4AAJi9AABsPgAAyL0AAAy-AADoPQAA2D0AAKi9AAAEvgAAcD0AABS-AABsPgAA4LwAAGy-AABcPgAA1j4AAFS-AACoPQAAJD4AAEC8AACYvQAAf78AAEC8AACKvgAAFD4AAMg9AAB0PgAAVL4AAKg9AADCPgAAZD4AAES-AADYPQAAuD0AAAy-AABQPQAALL4AABC9AAAEPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=DF6j-lrau90","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":720,"cheight":1280,"cratio":0.5625,"dups":["1990575436991276119"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"2830631558"},"1573941493961165757":{"videoId":"1573941493961165757","docid":"12-9-3-ZA7CEC8F3459E1D48","description":"Physicist Alan Lightman discusses the beauty of mathematics. An excerpt from Spiritual Materialism: Transcendent Encounters with the Sacred, a conversation between Steve Paulson and Alan Lightman...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2444974/335bbf7ab551beafd8982e40005ae93c/564x318_1"},"target":"_self","position":"6","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZRx91CPmUZE\",\"src\":\"serp\",\"rvb\":\"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_E9cBggQkAYAEKyqLARABGniB9wT6_voGAAP6DQ0FCvoC7g35Bfr-_gD_A__8-QX-APoF_wYPAAAA-gr7AwIAAAD2_AkL9f8BAAQE-AcDAAAAGAcI-gEA_wAcAAH6_gEAAPgBCv4CAAAADBQJAQAAAAD2AP_6AwAAAPoCAwcAAAAABwj7AwAAAAAgAC1aVOQ7OBNACUhOUAIqcxAAGmD7EQAhGAfw0Qsk-u8H2fD-FP_rA_r3APsPAPACCQEgIfbm-xMACeoG4NMAAAAK-BQSCwDUOdfo4vkWCA_4-gMECn8AFPwJLAsE4Q_-4fMTC_nZ-S0A8fzfDCMZ9iD2KiUgAC3FPYU7OBNACUhvUAIqrwYQDBqgBgAAIMIAAOjBAABoQgAAGEIAAOBAAAA0wgAAQMEAANBBAAAwwQAAosIAALjBAAAIQgAAVMIAACDBAAAAwAAACMIAAMjBAAAkQgAAqMEAAFjCAADgQQAAPMIAAKDBAACWQgAAgEEAAHDBAAAIwgAALMIAABRCAAAEQgAANEIAAJhBAADwwQAAqEEAAJDBAAAIwgAApsIAAFDBAAAgQQAAQEAAAODAAAB4wgAAkMEAAMjBAABAQAAABEIAAIA_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-AACIvQAAgDsAAFw-AAAwvQAAIb8AAJK-AACGPgAAFD4AAHC9AADYvQAAJD4AADC9AAB8vgAAnj4AABA9AABAvAAA1j4AAH8_AADIvQAAND4AAIg9AADovQAARL4AAIi9AABQvQAAXD4AAHQ-AAAcPgAABL4AADA9AAAMPgAABL4AAIi9AAD4PQAAir4AANa-AABQvQAAlr4AAGy-AAAQPQAAyL0AAES-AACWvgAA6D0AAOi9AADIvQAAgr4AACS-AAAMvgAAtj4AAPY-AAA0vgAAcD0AAFk_AABQPQAAgDsAAOA8AACovQAAML0AAHw-AAAkviAAOBNACUh8UAEqjwIQARqAAgAAZL4AAIi9AABMvgAARb8AAAy-AADIvQAAfD4AAPi9AAAMPgAAoLwAABA9AABUvgAA-D0AACS-AACAuwAA4LwAAMg9AAANPwAAUL0AAK4-AACgPAAAuD0AAHA9AADovQAAcD0AABQ-AABQPQAA-D0AALg9AACgvAAA2D0AAFA9AACAuwAALL4AAKA8AADIvQAAuD0AABw-AAAUvgAABD4AANI-AADovQAA4LwAAKg9AAA0vgAAyL0AAH-_AACAOwAAVL4AAGQ-AAAMPgAAoLwAAKi9AACIPQAAXD4AAOg9AADIvQAAPD4AAKi9AABkvgAAmD0AAJi9AADgvAAAoDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ZRx91CPmUZE","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1573941493961165757"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"794915094523105720":{"videoId":"794915094523105720","docid":"12-11-10-ZB48CEBEBCCF749EC","description":"#the_beauty_of_mathematics #math_and_physics #pi Join this channel to get access to perks: / @mathphysics Follow us on: / map.lb / maplb100 / ins.map.lb vm.tiktok.com/zsdka5ds2...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2769467/0c81f785430f76a515681773e827b7ba/564x318_1"},"target":"_self","position":"7","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The beauty of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3bVcMmuJZ80\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TIYIEJAGABCsqiwEQARp4gfcE-v76BgAD-g0NBQr6Au4N-QX6_v4A_wP__PkF_gD6Bf8GDwAAAPoK-wMCAAAA9vwJC_X_AQAEBPgHAwAAABgHCPoBAP8AHAAB-v4BAAD4AQr-AgAAAAwUCQEAAAAA9gD_-gMAAAD6AgMHAAAAAAcI-wMAAAAAIAAtWlTkOzgTQAlITlACKnMQABpg9BEAKRIM8LwTK-vn8M7q-Q384Qvv7QAJDgDz_hDqFRcI3_kX_wnXDdXBAAAABucPCSgAvFPJ4OXpIg0U9e4F-hl__Q77AiUDDNwOEOPrJyj0y_A2ANz01hMLN_0n_DpAIAAtD_BROzgTQAlIb1ACKq8GEAwaoAYAAKDAAACAPwAALEIAAAAAAADgwAAA6EEAACRCAABAwQAAuMEAAAAAAABQQQAAgMEAACBBAACiwgAAAEIAAAjCAACgQAAAIEEAAEDBAABAQAAAiEEAADTCAADowQAAgL8AAHDBAAD4QQAAgMAAABhCAAA4QgAAMEIAABjCAADwwQAAQEAAAEBCAABAQAAAAMAAABDCAAD8QgAAgEEAAFDBAAAYQgAAUEEAAFRCAACYwQAAwEAAAHBBAADAQQAAgL8AAABAAAAgwQAAcMIAAMhBAACAPwAAMMIAAIC_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-MEAALDBAAAAQSAAOBNACUh1UAEqjwIQABqAAgAAyL0AADy-AADoPQAAcL0AADw-AAC6PgAAcL0AABm_AACSvgAAgj4AAKg9AADovQAADL4AADQ-AACIvQAANL4AAOo-AABwPQAAML0AAMY-AAB_PwAAJL4AADw-AAC4PQAA2L0AAIK-AACIPQAAgLsAAJ4-AAAMPgAAbD4AAFS-AABkPgAAyD0AAEC8AAAEvgAAmD0AADy-AADmvgAAcL0AAOi9AACCvgAAcD0AAFy-AADovQAAkr4AAMg9AAAcvgAAgDsAADy-AAAMvgAALL4AAMY-AADiPgAA-L0AAFA9AABTPwAA6D0AAFC9AACAuwAALL4AAHA9AABsPgAALL4gADgTQAlIfFABKo8CEAEagAIAAIq-AAAQPQAAVL4AADu_AAAUvgAAuL0AAJo-AACYvQAAbD4AAIi9AADgPAAAPL4AAKC8AAAsvgAAED0AAKC8AACAuwAAAz8AAAS-AACuPgAAqD0AAIA7AACgvAAA6L0AAOA8AAAUPgAAUL0AAKg9AABAPAAA4LwAAKg9AAC4PQAA4LwAAOi9AAC4PQAAyL0AAEw-AADIPQAATL4AABw-AACuPgAABL4AADA9AADIPQAA6L0AAMi9AAB_vwAA4DwAADy-AAAMPgAAqD0AAEA8AABAvAAAMD0AAI4-AADoPQAAuL0AADA9AADgvAAAyL0AAHA9AADYvQAA4LwAAAw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3bVcMmuJZ80","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["794915094523105720"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17019711520349219889":{"videoId":"17019711520349219889","docid":"12-5-15-ZBC648ECDC9BCDD1E","description":"Take 2 minutes to make you fall in love with math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4451390/115d0630d1e3c784f19f4d1395d9d099/564x318_1"},"target":"_self","position":"8","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The beauty of mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qz_rO_VDWKs\",\"src\":\"serp\",\"rvb\":\"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_E5YBggQkAYAEKyqLARABGniB9wT6_voGAAP6DQ0FCvoC7g35Bfr-_gD_A__8-QX-APoF_wYPAAAA-gr7AwIAAAD2_AkL9f8BAAQE-AcDAAAAGAcI-gEA_wAcAAH6_gEAAPgBCv4CAAAADBQJAQAAAAD2AP_6AwAAAPoCAwcAAAAABwj7AwAAAAAgAC1aVOQ7OBNACUhOUAIqcxAAGmD7HwAzFAbq0BMm_t32xu8DFwvbA_HrAP0UAPMIC_wfG-ro-BAAANsV1cYAAAAB8BUFDgDFTcbS4v0iBBLx8AgDE3_3CvsDLQAM0wgGzOAeFf_N8y4A8PPcFRcj-x8ALkIgAC2XRVs7OBNACUhvUAIqrwYQDBqgBgAAQMIAAKDAAAAsQgAADMIAAFxCAADQQQAAmEEAAFDBAACYwQAAoMEAAKBAAADAQQAAQEEAAHDCAADAQAAAlsIAAJhBAACAQQAAiEEAAKrCAABIQgAAZMIAACDBAABAQgAAQEEAAPDBAAAwwQAAQMIAAPhBAACoQQAAOEIAAIA_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-AACgPAAAMD0AAFQ-AAC4vQAA9r4AAKK-AACWPgAAdD4AAKi9AAAsvgAATD4AAIC7AABUvgAA3j4AAEC8AABQPQAAoj4AAH8_AACgPAAAQDwAALg9AAAwvQAAor4AAMi9AAAcvgAARD4AAFw-AABQPQAAmD0AACQ-AAAkPgAAmL0AAEy-AAA0PgAANL4AAMa-AACAOwAAbL4AABS-AACAuwAA4LwAACy-AACuvgAAoDwAAKi9AAAQvQAABL4AAOC8AADIvQAAxj4AANI-AABsvgAAMD0AAEE_AADYPQAAcD0AAKC8AABEvgAAQLwAADw-AAAEviAAOBNACUh8UAEqjwIQARqAAgAARL4AABy-AAA0vgAAMb8AAJi9AACovQAALD4AAJi9AAAMPgAAML0AABC9AADovQAA-D0AAMi9AABQPQAAEL0AADA9AAAZPwAAHL4AALo-AACIvQAAoDwAAEA8AADYvQAAuD0AAMg9AADgPAAAMD0AACw-AAAQPQAAUD0AAKg9AACAuwAARL4AALg9AABAvAAAcD0AAAQ-AADIvQAAPD4AAMI-AAA0vgAAiL0AAKg9AABUvgAARL4AAH-_AABAPAAAPL4AABw-AACYPQAAuL0AAMi9AACIPQAAXD4AANg9AACovQAAmD0AABS-AADIvQAAmD0AALi9AABAPAAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=qz_rO_VDWKs","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17019711520349219889"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17971577213223148048":{"videoId":"17971577213223148048","docid":"12-3-10-ZE26708E4539EF0AE","description":"Hi Make Maths Easy With Eduroad The Beauuty of Mathematics Mathematics reveals its secrets only to those who approach it with pure love, for its own beauty...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4518546/9bcc28f4d1ac07a9aac1fcc0ced85ceb/564x318_1"},"target":"_self","position":"9","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics - eduroad","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=462mf7GUqXo\",\"src\":\"serp\",\"rvb\":\"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_E3-CBCQBgAQrKosBEAEaeIH7AfkI_AUAA_oNDQUK-gL6A_8B-f39APYH_P__Av8A-PYEAAsAAAACB_8C_QAAAPUFAwj8AAAACAb7-QQAAAATCwAB_gAAABL-APwK_wEB9fgHAgMAAAAMDQ33AAAAAPUA__oDAAAA9AMJAgAAAAAICPsDAAAAACAALaLU4Ts4E0AJSE5QAipzEAAaYPQLADArBOrf_RD83_Pb6wgOE-UG9uwABBIA8AL5BCUC9L8BAgAN0hbmyAAAABEADwYYAMhFwt7cCxYRD_r6BQsff_MPBQQvBAPS-ADa6B0O8cr3IQD_AeIQHAv7GAo5KSAALWcZaTs4E0AJSG9QAiqvBhAMGqAGAABAwAAAUMEAAIBAAABgwQAAwMAAAKjBAACQQQAAIMIAAKDAAAA0wgAAgMAAAIDBAABQwQAAGEIAADhCAAB0wgAASEIAAPDBAAAAwQAAHEIAAATCAABEwgAAyEEAAIjBAAAYwgAA6EEAAMjBAABYQgAAIEIAAFRCAACkwgAAYEEAAMDAAACgQAAAjsIAAODAAABQQQAAJEIAABxCAADgQQAADMIAABxCAAAMQgAA0MEAAIjBAAAgwQAA-EEAALhBAABAQgAArEIAACDCAABgwgAAUMEAAGBCAAAgQgAAEMIAAABCAACgQAAAjsIAANBBAAAgwQAAQMAAAFDCAAAgwgAAGMIAAADAAAAswgAAgMAAAIbCAAAcwgAAwEEAABhCAAC4wQAAaEIAAGDBAACowgAAuMIAAFDCAABgQQAAFMIAAJ7CAACCQgAAiEIAACjCAACowQAAgD8AAHhCAACoQQAAiMEAAADCAACcwgAAyEEAAKjBAACEwgAAwEEAACzCAAAMwgAA3EIAANxCAADAQQAAlMIAAEDBAABgwQAAoMIAAEzCAAAEQgAAyMEAAKBAAAA8wgAACEIAAEBCAAAEwgAAgMAAAIC_AABYwgAALMIAAABAAADYwQAA4MEAACjCAAAswgAAgMAAAGBBAACwwQAAYMEAABxCAAAQwgAA4EAAADzCAAAEwgAAAAAAALBBAABQwQAAOEIAAMDBAACQQQAAYEEAAKBBAACwwQAAksIAAJhBAABgQQAAGMIAALDBAAA8QgAAQEIAAMDBAACAvwAAJEIAAJRCAACgwAAAwMAAAFBCAABQwQAATMIAADRCAABAwgAAhsIAAKBAAABAwQAAisIAACBCAADQwQAAEEEAALjBAAB4QgAAiEIAAKBAAABAwQAAuMEAAJDBAABwQQAAsEEAAKhBAABQQQAAmMEAAGTCAADowQAAAAAAAFxCAABMwgAAAMIAAIjBAADAQQAAcEIAAKDBAACEwgAAmEIAAHDBAACowQAAgMAAAJbCAADgwAAA-MEAAJjBAAAgQgAAMMEAAIhCAAAQwgAAVMIgADgTQAlIdVABKo8CEAAagAIAANi9AABUvgAA-D0AAHA9AADoPQAAuD0AAFQ-AAADvwAAjr4AAIo-AABUPgAAgLsAAAy-AACOPgAAEL0AAIq-AACiPgAAgDsAAEA8AACaPgAAfz8AAKC8AADYPQAABD4AAKg9AABEvgAA4DwAAKC8AAB0PgAAij4AALg9AADIPQAAcD0AAI4-AACgvAAAmL0AAHw-AAA8vgAAwr4AAHC9AAB0vgAAFL4AAIg9AAAQvQAARL4AANK-AACIPQAABL4AAMi9AAAsvgAAED0AAOC8AADSPgAAfD4AAHC9AACAOwAALz8AAAQ-AABQPQAAyL0AACy-AABQPQAARD4AAJi9IAA4E0AJSHxQASqPAhABGoACAACGvgAAiD0AAJi9AAA7vwAAqL0AABy-AACGPgAA-L0AAHw-AAAUvgAAqL0AAFS-AACoPQAAfL4AAJg9AADgvAAAoDwAABE_AAAQvQAAsj4AAKg9AACIvQAAmD0AABS-AAAwPQAAHD4AAJi9AADoPQAAED0AAOC8AAAQPQAAJD4AAFC9AAAsvgAAMD0AAJi9AAAsPgAAUD0AACS-AAAkPgAAoj4AANi9AACAuwAADD4AAMi9AACovQAAf78AAMi9AABsvgAAfD4AABQ-AACAuwAA2L0AAOg9AABkPgAA2D0AAKi9AABAvAAABL4AAOi9AAC4PQAAcL0AABA9AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=462mf7GUqXo","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17971577213223148048"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12566218260697973503":{"videoId":"12566218260697973503","docid":"34-8-7-Z8516CDDDCD2372C0","description":"Because of the emotions contained in explaining this background, there are things I could not remember to say. I am also thankful to all of my brothers and sisters, my step mother, and my...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1618388/8474cbca459c088fc44df976c5377f0e/564x318_1"},"target":"_self","position":"10","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Story of TheBeautyofMath","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=v9SUQgCYDwo\",\"src\":\"serp\",\"rvb\":\"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_E9cOggQkAYAEKyqLARABGniB_fz9Dv4CAPb5BgkOBvwB6BD7-fr__wD1BfX99gL_AOoA-wv-_wAAAQz7_QUAAAAKAw0C9P4BAAoFAAgEAAAACwj6-QAAAAAD_PYI_wEAAAMCBwED_wAAChMB9P8AAADs_P_9AgAAAP4IAwsAAAAAAvr2BgAAAAAgAC3TpNo7OBNACUhOUAIqcxAAGmAEDgApKgUD0yIm9soN0fgPGv_4BATbAP__ANATA-ARD-bX-ur_Cd0I2MMAAAAH4xMBJgDKVe_a3AAU_O_68QUGFn_xGBHyQBsY2AIewPYcDPrJFDoADvK-J_4PAUsBAiQgAC0nik87OBNACUhvUAIqrwYQDBqgBgAAUEEAAFhCAAC4QgAAmEEAAEhCAAAgwQAAcEIAAADCAABMwgAAMMEAAAxCAABswgAAEEEAAOBAAACOQgAA2MEAALDBAACQwQAAYEEAAMBBAACIQQAA6MEAAOhBAADoQQAANEIAADBCAAAwQQAAAMAAAKhBAACAQQAA8MEAAFDBAAAAAAAAyMEAABzCAACIwgAA4MAAAIRCAADgQAAAMEEAAPhBAADYwQAAhkIAAAAAAACgQAAAQMEAAKDAAAAQwgAAAEIAAAAAAADgwQAAQEAAAHBBAAAwwQAAQEEAAAjCAAD4wgAAMEEAAODBAACAQQAAgkIAAOBAAAB8QgAAZMIAABTCAADQwQAAoMEAAIA_AAAAQQAAVEIAAOBBAAA8QgAAeMIAAIJCAABAwQAA8MEAABTCAADAwQAAcMEAACBBAACwwQAAXEIAAIBAAADAQAAAwMAAAKDBAACgQQAAWEIAAEhCAADgwAAAwMAAAFhCAACgQQAAsEEAAJJCAADUwgAAIEEAAHRCAABAQgAAZMIAAPjBAABgwQAA0EEAAOLCAAAwQQAA4EEAAIA_AABAwAAAAMIAAEhCAAAYQgAAlsIAAEDBAACYwQAAsMEAAKhBAADYwQAAgsIAAJhBAACgwAAAYMIAADzCAACQwQAAoMAAACDBAAAEQgAA8MEAAADDAABYwgAAyEEAANjBAAAgQgAAhMIAAChCAABsQgAADEIAAMBBAADwQQAAlsIAAHjCAAAAQQAAEEEAAJpCAADgwAAA3kIAAJjBAACAPwAAQMAAANBBAACAQAAA2MEAAPBBAACoQQAACMIAAHhCAACAPwAAgD8AAMbCAABgQQAAAEIAACBCAAAwwQAAaMIAALjBAAAQwgAAIMEAAExCAAAEQgAAIEIAAERCAACYQQAA4EAAAJDBAABAwQAADMIAAGBBAADAQAAAuMIAAMDAAACgQAAAuEEAADzCAAAQwQAAsMEAAEBBAAAQQgAAQMAAAMBCAABAwQAAUEEAAIA_AAAswgAAYEIAAMDAAADQQQAAaEIAAIC_AAAcwgAAmMEAACTCIAA4E0AJSHVQASqPAhAAGoACAACYvQAA-L0AALg9AAAwPQAA2D0AAPg9AACovQAAzr4AAIa-AAAMPgAAqL0AABC9AACIPQAAiL0AAIi9AABEvgAAyD0AAOA8AADgPAAAdD4AAH8_AAAMPgAA2D0AABQ-AABwvQAAQLwAAOi9AADgPAAAkj4AACw-AAAQPQAAgLsAAMi9AAAMPgAA2L0AAKC8AACgPAAATL4AAGy-AABwvQAADL4AABS-AAAwPQAAgLsAALi9AABAvAAAEL0AAIg9AAD4vQAAiL0AAOA8AADgPAAAVD4AAHQ-AACavgAAgLsAAA8_AADIPQAAiL0AAOA8AAA8vgAAQLwAANg9AACCviAAOBNACUh8UAEqjwIQARqAAgAANL4AAHC9AADIPQAANb8AAKA8AAC4PQAA4j4AAAS-AABQPQAAFL4AAKC8AACKvgAAZD4AABy-AACoPQAAgLsAADQ-AAA7PwAAkr4AAJo-AAAEvgAAoLwAADC9AAAQvQAAEL0AAI6-AABQPQAAED0AAKo-AABcvgAAqD0AACw-AACevgAA-L0AAPg9AAAEPgAAqD0AAMg9AABkvgAAFL4AAJg9AACYvQAAmL0AAJi9AAB8vgAAZD4AAH-_AAAQPQAAHL4AAKi9AADYPQAAJD4AAPg9AAD4PQAANL4AABQ-AADgPAAAjj4AABQ-AADIvQAAgLsAALK-AACIPQAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=v9SUQgCYDwo","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12566218260697973503"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17135485446747762369":{"videoId":"17135485446747762369","docid":"12-8-9-Z1AAF52DD827421A2","description":"Provided to YouTube by The Orchard EnterprisesThe Beauty of Maths · LiongeistOld Traumas // New Tremors℗ 2016 DigerReleased on: 2015-01-01Music Publisher: D...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3311204/f4c65d7d1cf32d8ff66d28674461032c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cOt_HwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Maths - YouTube Music","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Bo63pYwtAtE\",\"src\":\"serp\",\"rvb\":\"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_E7kCggQkAYAEKyqLARABGniB9wT6_voGAPwADwUHBvwB6gX-A_v__wD2B_z__wL_AAD-AQMHAQAA9AP7BgEAAAD8DBL9-_8AAAwDAf4EAAAAFQX98vwAAAAI9gj8_wEAAP4HAwAC_wAABQwIAAAAAADzAPoDAgAAAPoBBQAAAAAABgIAAAAAAAAgAC1aVOQ7OBNACUhOUAIqhAIQABrwAXYU8AKqCAT8f-oCAczy-wDXDfAABfQDALzt_wDoAg0ANfwPAAsaBQDtEfUADfL8ANX-4v_h_RgAMAzxAPz7CADe6Q0ABgIDAgQB6f8LERUA6-P_AAfj_P_Z9_0BCP0HAin56QD-KvUC4_cMAtb29AIN9QEA1v4iAO385gQW4vEAAP0HAdoA-fwO9vUGBfwCACEVFAIt-_IA8xQe_vUKD_n4-woFDPUe_-cF7f4X8ev7CgcE_MYZ7APlEAoLFf_gAg4V-vIJ_xz_CSMP-xv9A_76_gsF_PEeAPL39f8S8BX7-_4E9QDTDwcJ_fcAFvgB9yAALQMWQzs4E0AJSGFQAipzEAAaYBYMADcaHf-7DkDz1QLQCvof9OYMCvIA9vgA3_cV_jAK-t8T9QAO7vXPwgAAAPwBFhH5ALVU0Orc7PYH-AX7DBQdf_of8fgo-gbC_c3Z0Qr88eYBQwDu3bb9DR4ZFgAbGSAALZzFTjs4E0AJSG9QAiqvBhAMGqAGAADgwAAAQEEAAAjCAAAYQgAAiMEAAFRCAADwQQAAmsIAALjBAAAAwwAANMIAAKBBAACAvwAAuEEAAMDAAAAwwQAAgMAAAABAAABgwQAA6EEAAOBAAABYQgAAQEAAAIDAAAAgwQAAUMIAAGjCAACEwgAAtEIAAMDBAADgQAAAQEAAAFDBAAAwwQAA8MEAAODBAAAkQgAAgEEAAADAAAAgwQAAAMIAACDBAAAcQgAAOMIAAOBAAAAAQAAAeEIAAOBAAADWQgAAgMAAABDBAAAAAAAAeMIAACTCAABowgAAlMIAAGBBAABQwQAAAMAAAHDBAADQwQAAgMAAAABAAABAQAAA-MEAAPhBAADYQQAAqEEAAFjCAACIwQAAYEIAAKRCAABgwgAAQMIAALDBAACQwQAAisIAADBCAABwwgAAiEEAABDBAAAYQgAA6EEAAEzCAACYQQAAYMEAAHBCAABgQQAAREIAAHBBAAAIQgAAtEIAAJBCAACOwgAAiMEAAODBAABgQgAAEEIAALjBAADgQAAAQMEAAFjCAACAQQAATMIAAHTCAACQQQAANEIAAJxCAADgwAAAkMEAAFhCAACgwQAAuEEAAJjBAADgQQAAkMEAAIC_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-L0AABA9AAB8PgAA2L0AAMg9AAAsPgAAuD0AADy-AACiPgAAQDwAAKi9AACmPgAAfz8AAMg9AABEvgAAVD4AAHC9AABEvgAANL4AAAy-AABkPgAAdD4AAOC8AADgvAAAuL0AAOA8AADgvAAARL4AACQ-AAAUvgAA3r4AALi9AAAMvgAA6L0AAKo-AAA0PgAAPL4AADS-AAAwvQAA2D0AAAQ-AACgPAAABL4AAIC7AADiPgAA9j4AALq-AAAMPgAART8AAJg9AAA8PgAAHD4AAAS-AACIvQAAND4AADS-IAA4E0AJSHxQASqPAhABGoACAABEvgAA6L0AAOA8AAA1vwAA4LwAACS-AACIPQAAgDsAAFQ-AABAvAAAoLwAAJi9AABsPgAANL4AAOA8AACAuwAA4DwAADk_AACIPQAAVD4AAIC7AAAQvQAAND4AALi9AABwPQAAZD4AAMg9AAAEPgAAyD0AABA9AACAuwAAMD0AAKg9AAAMvgAAcD0AAIi9AAAwPQAA-D0AAMi9AAAsPgAA2j4AABS-AABQPQAAUD0AAKi9AACOvgAAf78AAIA7AABEvgAAVD4AAFA9AADgPAAA4DwAAIC7AAB0PgAAUD0AANi9AABwPQAANL4AAGy-AADoPQAAcL0AACS-AABQvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Bo63pYwtAtE","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["17135485446747762369"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"438436411"},"3121477572132426236":{"videoId":"3121477572132426236","docid":"12-11-14-Z1C31DC91F37B18F9","description":"The Beauty of Mathematics is a short film I made for a video contest hosted by Math-O-Vision...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1021742/00ce3ccb96e1dbd13bf626441f325dec/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HkWfEQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=nrP6vMXB6X0\",\"src\":\"serp\",\"rvb\":\"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--gYAA_oNDQUK-gLuDfkF-v7-AP8D__z5Bf4A-gX_Bg8AAAD6CvsDAgAAAPb8CQv1_wEABAT4BwMAAAAYBwj6AQD_ABwAAfr-AQAA-AEK_gIAAAAMFAkBAAAAAPYA__oDAAAA-gIDBwAAAAAHCPsDAAAAACAALVpU5Ds4E0AJSE5QAiqEAhAAGvABfwkBA80XCP9S6_oBsAkQ_6MZCP_7AvQA9PkKAATz_QDrBfcA8_IbAA38Bf8IB_MA9wYe_w30CQHaGhP_UfH-Af4HFQEDEPwA8_EkAOjoDf8A-xP_Ke4EAQfm7_8SCPv_DAcEABv4CwESAfYBAPHkARD-_gcH8PX_FwIC_vwD7v_29Bf_FP8J-wgYDf8c__n-4v75AhHyDwP7Ff_8_fgC_Pb29AIdCPwC-xIJ_eYjCwLv9w3_CQkJ-Qzs_AXy-xIDEBEU_fPtDPvp9vcG-w31Bfvt-f4Q7wX73Qb_CfcT-fsOBAL8_PD6AOn1DQb_7gQDIAAts3RXOzgTQAlIYVACKs8HEAAawAdI-Pa-cLY5vem9jLx4e8A9aVGfu4yBt7sDnm-96GlAPHPbPj2U3Xy-EWWYOlTVGTvY1Hm-BQRJvfOGBb1B1eg9hJUUvRs237tX8QC7Zw8PvVjvBj0XoaO9GfSvPNMFKzzPvx093sknPUh2Oz0Yky6-h_N0O3CdWrwEF7O7zH1yPBaZSjsQlmE-hKhxPVe6Ejs39Hu9XGFRO90se7sgB7o9gpE3vYiynLxlscM8qP-sPGnk87yc1vc8jq_9PFQo3ju7L7I9Fjz7PKUFGru0Qsy9_VI6PQerezu7kFg9XCDeO4fYhTxSBN08S67Cvc5O6zyg_hM-UMMWO6ulCLvEzI69NpHZPWjsJryVBiO9sziMuyjgLb1bYrA9ooxiPXXapLzo8ms9EROJvUgi6jsmo0-9dgD-uwfZaDznDDu9H-SrPNCm2Tq63qE9NrMxvbtuHbsBKqa8jeQ8vW8_qrz-r489zCrsvGCoibvSbvS9IdqoPUTBdLpfEq29ZsUququugzwGbhc8OoAUvZPRNzyqL2Y91kzjvN7qFrw3obW8tHriPJg8VDxy86I9ppoZPV1IkTz3G7M7zG6cvGZxNbwK28-8KnAVvE980ru0E9I7iQyKOhnBqzzZzgc-wMLTvGMTMrtTWr89VfnevAeyv7tQiwE-r9g1PYAIgzmfprs8UfyzvZcGmzuquoc8cRLUPCKi3rsGAnC7u1ksO5V-wruXI589-8Z8vQOsEjrZEBK9Sc3ovFpCpTt9esc8-vOIPLa3Hbs8vfI9SshRvVfBjjmfZlS7b3rdu5VCA7usPOG9aUNUPZVbsjhzXig9ackDPn4aALlcVAu9nBXxvdyedTnp7-U9meZHPWzmn7iUuBO9oejLvIl3O7e0ETm9NygLva1-EDne3W-86taWPSjdLjj6xEs8LRx0utv_SLeDN6-96PbSvOnHjbdXtmq9XsCmPI2Sgjh-v_085B9MPQdrKDmsOZA9hGWsvNisEDlGLtO89gESPWgL8TjML3m9OUlOPHJn8LXGul088IUpvWJGrzcnUrU9and-vHYDADjWBVc9D7OsvZzuRjg9k-K8V8YLPTbNNjjhXjk96xrNPbJIHDmV1yU8YhFjPWQHwDiilBS8KebBuz5IODgIsKe7PAGzvcHL_zgdHKy8EwPuPHncTDab5TK8zOvIPAsXdzWSzOq9hiFyPBSDkDh5JC4-XlZVu0649bdyoiK9VFgkvRjoibj6iw-9f3aGvUFb57Xcfp68z9ptvYw1vjdTUMu9LIQPPC4uTLcgADgTQAlIbVABKnMQABpgBQkALQog4NjzN-rY_9bfBxQW5wry-gDtJ__2AQr8Hin4yfwTAAjNBs66AAAAAt0y-xQAwV-d0vb_BgD39PAcKv1_BxD09jgL_eD9AcHbCv4Lsfw-AO3krQ0FHQIj9yFBIAAtxsw8OzgTQAlIb1ACKq8GEAwaoAYAADDCAABUQgAAAEIAAFDBAAAMwgAAfEIAAIDBAAAAQAAAmsIAABjCAABwwgAAkMEAAIzCAACmwgAA4MAAAIzCAABUQgAAoEAAALJCAAC8wgAAFEIAABDBAACgwAAAFEIAANBBAAAowgAATMIAAIrCAACIQQAAXEIAANBBAABIwgAADMIAAFTCAABowgAAgL8AABBBAABYQgAAgEIAAKBAAACgwAAAcEIAAMDBAADwQQAAKEIAAGhCAACAwAAAFMIAAIhCAABcwgAAAMEAAFBBAACgQAAAsMEAANDBAAAUwgAA0MEAAKBBAADYQQAAMEIAAMBAAACEwgAA-EEAAMjBAACAwQAAmMEAADjCAAAIwgAAYMEAABDBAAAwQQAALEIAANDBAACUQgAAJEIAAHDBAAAMwgAAAAAAAAhCAAD4QQAAkMIAAIhBAAAgQQAAwEEAAEBCAADgQQAAMMEAAMhCAACQQgAAeEIAABDBAAA4QgAAmkIAAKDCAACgwQAABMIAAKhBAACEQgAAQEIAAEDAAABkwgAAlkIAAMBAAAAwwgAA7MIAADxCAABAQQAAcEIAAFBBAADgwQAAIEIAAADAAAD4wQAAwMAAAPBBAABwQQAAEEEAAARCAADYQQAAAMAAANDBAADIwQAAiMEAAADCAADAwAAAYEEAADzCAAD4QQAAAEEAAFjCAABwQQAAYEEAABDCAAAoQgAALEIAAIC_AAAUQgAA4MAAAEDAAAAYwgAAAEAAAARCAACgQQAAgMAAABhCAACgQAAANMIAAFDCAADowQAAEEEAADBBAACIQQAAsMEAAOBAAABIQgAAUEEAADBCAAC4wQAA8MEAAIRCAADgQAAASEIAAEjCAADoQQAAHMIAAAjCAADAQQAAQEIAAABCAACQQQAA6MEAAABCAAAEwgAAeMIAAOBBAACYQQAAYEEAAADAAAAAwQAAFEIAABDBAADQwQAAOMIAAM7CAADAQAAAAMEAACzCAAAgQgAA6MEAAIBBAACYwgAAgsIAAGBBAADowQAAwEEAABxCAACKwgAA4EEAAHDCAACAwCAAOBNACUh1UAEqjwIQABqAAgAAoLwAAMi9AABEPgAAQDwAAOA8AAD4PQAAFL4AAOq-AABUvgAAdD4AAAQ-AAD4vQAAmL0AANg9AACYvQAAJL4AAKY-AAAwPQAAgLsAAJI-AAB_PwAAQLwAAIA7AACoPQAAEL0AAGS-AADYvQAAyL0AAGQ-AAA8PgAAUD0AAFC9AAAEPgAADD4AAKi9AAD4vQAA6D0AAHy-AACuvgAAFL4AADy-AAA8vgAAgDsAALi9AABsvgAAwr4AAHA9AACgvAAAuL0AANi9AACAuwAAcL0AAKY-AADGPgAABL4AABA9AAAzPwAAqD0AAHA9AABQvQAAHL4AAIi9AABEPgAADL4gADgTQAlIfFABKo8CEAEagAIAAEy-AACgvAAA2L0AADm_AADovQAA-L0AAFw-AACYvQAAXD4AAIi9AADgPAAAVL4AAEQ-AAAkvgAAQDwAADC9AACgPAAAGT8AAPi9AACGPgAAUD0AAEC8AAC4PQAAqL0AAHA9AAAUPgAAMD0AAAQ-AADYPQAAoDwAAIg9AACYPQAAcL0AABS-AABAvAAAuL0AAKA8AAC4PQAA2L0AADQ-AAC2PgAAPL4AAEA8AADIPQAAHL4AACS-AAB_vwAAcD0AAGS-AABMPgAAmD0AAEA8AAAwvQAAMD0AADw-AAC4PQAAyL0AACw-AADYvQAATL4AAIg9AADIvQAAgLsAAOC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=nrP6vMXB6X0","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3121477572132426236"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"681550460"},"6856677608212468265":{"videoId":"6856677608212468265","docid":"12-2-5-Z523A1F0CB5A923FD","description":"It's civilization's greatest achievement. It's the language of the universe. It's name is mathematics. It isn't given the proper appreciation it deserves. Music • The Best...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4144064/c716b7c926b501bdaa63635a10512b15/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/gEnKYQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Mathematics Part 1","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=33r6m9Pq69I\",\"src\":\"serp\",\"rvb\":\"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_E68DggQkAYAEKyqLARABGniB9wT6_voGAAP6DQ0FCvoC9wr7BPn9_QD1Bfb99gL_APoF_wYPAAAA_w0ACPsAAAD2_AkL9f8BAAwA_QP7AAAAHgz9-fsAAAAUBf8A_gEAAPz4Av8C_wAADBQJAQAAAAD2AP_6AwAAAP0ICAQAAAAABwj7AwAAAAAgAC1aVOQ7OBNACUhOUAIqhAIQABrwAX8JIAHP-9D_yzLo_9UPwgDTHvsAF0f5AL8F_QC8Hu8A9v35AM7o9gAD_d0AsQQlAfDw3wAA3PYAOd78ADTJCgDfBiMBEtbvAhMJDgDg6vsA5zz7__IBDQL03LcACAvS_jPYGf4P-fT9IvbTAhjmKwIF-RsCFvUhAvPLPAH4F-8E7d7a_gww9AIZ6QYD2gQhAhL-EAcFGgkF-SfNAu8j_QAN7An9DiXwBPbz4gP7CwL93c76Bg4ACwH3BA78BR7sB83mFAPI6AT--ekF9xDu9_jJGPMHE-D5CtAI_gwEw-4LEQ75BBfk9fT___Xv7_b4_yAALezmGTs4E0AJSGFQAirPBxAAGsAHt-zYvl13qTyx1MS8WsitPDPcQD2eYpW8ldIDvpaYp7y_tKw7pg7yPZX0MLxkyWe6w8wovZzVbL2V8wU9xVWFPlQwb72bfyq82UNLvkOSdjspf4K9F34AvupgOD35rrc8_yxMvYTVOD212b-7MEfPPDi6j73yJyo86JmDPCRU-jybKSO9qU_yPYDzgr3AARK97xr0vGbGMrub6gM8-ERoPb3Dbbze2747_fK-PX5wHby3pUS81o4ivkMddr1erB68ySJtPUWE2jslMyg8fxXgvW47I73xnZg86_azvda-JTxV18a72EktPtvS9LwzAC-8D3avPYoDJrtGUSK6s33ovVJMfDo1iva7uWa3PXMTsD2_G4E8rvQqvm3F3j2K1Au7bPtovLwLrzynrEI5z3yjPbgyUj2n0FQ8VlqQPFVx_jwqkxa8kCQQvBDfoz2mYgM97N0HuulLqbrbMbW8lz0kPUEr8jtPwpa7za2wvQ37_7tO3Us84H06vUYhbj0SqQK8h7IGPV03xb14rF-7BSOlPdYCO75J5Zo6zvIGvZA4ir2cy0O8imSePSAuFD14Zry6r0M1PWi-yb1nO5G7tr8uPUvwvLw37C27F5kjvGcsdb2LuEo8kiifvc4Xe7wT4-c72L_GvMTeVTx_8TG8JBxEPRqYCbpb5O05ZA29vUM63L3QkTe3aMCKPbXAgzwUJog7up6dPdN70zt5NYo6CY3APafbqL3frNq57c9qvdX_nrzq-Xu6f74tvSFXqjxwjgS7cTpJPptOF72XcKE48oV_PO0gQLzzOuI4rDzhvWlDVD2VW7I4rFOlPB5Yabx_dqE53SqjvFc9wL2RBh45wxHkPMjo5bxiRhS6sTRQPWQzgT1NFDQ5Ux6SvUobyL3hc5s3V9yuvOoad705L6S5eJ6TPW642Tz9qJ24KDGEO4N8GLw4Fng5arM7Pc2RlbzgYQm5dQHvPNb1tT09EPG4eOhgvPsvJr1DFik1nKglPWEoET3NQ-U49zx_vc4YBj7zHTK34-PTPMaFAz3N4TK4088IPGYx0b0-S5c2KK-fvC0esz0TGaQ3SlGovWNu7Tz7BT44mhL_vL2yJr0Vuse3xM8PPjxq6buey5U2Ad7CvLtPhDzolg84L6YZPng7zDz85hu5zcd6vdMV7L3mm_i4hPovuwAjAbzqo183gSZivU2oGz12B3U49nR6PeAP370_mZu3-WTlPcjZmj21QNY2vxYKPaFvwT3_L5y3o2K3vOhY1DzE1fO2D14AvenyBr3ZxSk4IAA4E0AJSG1QASpzEAAaYAD5AEEdL8z3H0Xw4NzaDN77_NQr5-IABfsA9hcQDiMi5vQcBQAdzS3gtAAAAAruCwAJANRkr9f5FhsINvXN-gsif-IX-t0EDweyAxjM2ykeDOERQADz18YYDxfaUhIxTCAALclLMTs4E0AJSG9QAiqvBhAMGqAGAAAAAAAAwMEAAFhCAABowgAAQEAAACjCAACaQgAAuMEAAHzCAADUwgAAiEEAAHDCAAAMwgAAgMEAAHTCAACAwQAAqEEAAKBAAABAwAAAAMIAAPDBAAAAwAAAPMIAAIDBAAA4wgAASMIAAIjCAADgwAAABEIAAERCAAA4wgAA8MEAAKbCAABwQQAALMIAAPjBAAC4QQAA8EEAAEDAAACeQgAAsMEAAIA_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-MEAAIDBAAC6wgAAsEEAAEjCAACYwQAAWMIAANBBAACAwAAAwEEAAJ5CAAAAwAAAoMAAAGBCAAAMQgAAEMEAADDBAAAoQgAAJMIAAADAAACAQAAAoMAAAHDBAAAQwgAAAEEAAOBBAACIwgAApMIAAEDAAAAswgAAYEIAAADAAABgwgAAYEIAAFDBAAAAwAAA-EEAAEDCAABgwQAAiEEAAFTCAABQQQAARMIAAGjCAAAAQQAAEMIgADgTQAlIdVABKo8CEAAagAIAAKA8AAAEvgAAyD0AAHA9AACAOwAAlj4AADy-AAADvwAATL4AAOg9AADYPQAA6L0AABC9AAC4PQAAZL4AAPi9AADWPgAAUD0AAEC8AACuPgAAfz8AAEA8AACYPQAA2D0AANi9AABUvgAAUD0AABC9AAAkPgAAcD0AAEQ-AACIvQAAJD4AAAw-AADIvQAAmL0AAKg9AABkvgAA4r4AAIK-AAB8vgAApr4AAOg9AAAkvgAAFL4AAIq-AAA0PgAAcL0AABC9AAA0vgAAuD0AAES-AAB0PgAA7j4AANi9AADgvAAAST8AABw-AABwvQAAED0AABA9AACAuwAAXD4AAFS-IAA4E0AJSHxQASqPAhABGoACAABsvgAAUL0AAAS-AAAxvwAAgLsAAIi9AAB8PgAAcL0AAIY-AAAkvgAAQDwAADy-AAC4PQAATL4AAEA8AACAOwAAyD0AABk_AAAMvgAAmj4AAPg9AACgPAAAiD0AANi9AACoPQAA-D0AADA9AAAUPgAAED0AAEA8AAAEPgAAyD0AAOi9AABwvQAAyD0AAKi9AACoPQAAmD0AAGS-AAAsPgAA7j4AAEy-AACoPQAA2D0AAAS-AAAcvgAAf78AAJg9AAB0vgAAND4AADA9AACYPQAAJL4AABA9AACOPgAADD4AALi9AAAsPgAAmL0AABy-AACgvAAARL4AAOC8AABQPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=33r6m9Pq69I","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":260,"cheight":194,"cratio":1.3402,"dups":["6856677608212468265"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"257580996"},"8438169921620633707":{"videoId":"8438169921620633707","docid":"12-3-13-Z342338276D763C89","description":"this is my second video to show you how beautiful mathematics can be. in this case the video deals with the lorentz attractor and its connection to the modular flow. in the end you can see that...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/751318/9a3af4778e195199f5fe9019a4a55a14/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/wIJNegAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"the beauty of mathematics 2","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1-sE6xqBmXI\",\"src\":\"serp\",\"rvb\":\"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-v76BgAPAA8AAgf_AfcK-wT5_f0A9QX2_fYC_wD6Bf8GDwAAAPoK-wMCAAAA_gP_D_j-AQAJ_fgFAwAAABYE_P0DAAAAEv3-_P4BAAD4AQr-AgAAAAwUCQEAAAAA9gD_-gMAAAD9CAgEAAAAAAcI-wMAAAAAIAAtWlTkOzgTQAlITlACKoQCEAAa8AF_-Q0Dwv0B_vkGDwG88tkAreAZ_w4R2wAAHQ0A4OkQASYREQDg5Cv-CgYS_74EHwESI_H-IBYDAB31A_8qAvQAyDMI__zu7QECFAIAzOX3_tk_Av_Z9gQB9-jqARMJCv_s7e8BGwTrAPQE5gH_Egn-8P_6Avvq_wXVJ_gEAhYMAvn85AD29BH6Fe0FAg3lIAQV-_kAKR_u__U-6wYcGgQB4voN-Qbq_AH0Bfz5Gfz3-dnd-PwHDewC4M0P_xoECv76EAb66933-fTgAAII_wL2E8nzBQgN8Pq9-AcDMM_z_Qsn_Abg6AIJIe8A_gnw-PggAC1mszg7OBNACUhhUAIqcxAAGmAHDQAwDx3k5hBHA_b8xwjj-gUBCujjANoHAP74ERAbGPvqBQMAFdwj9sQAAAD74CgFFADhVNPf_An9HB3l4uscEX8YE_DxNQAR2RgH0e8XHwPC5C4A2fHHGgUP-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-EEAAIDCAAC4wgAAQMAAAMDBAAAgQgAAwMIAAIhCAADSQgAAwMEAAODBAAAgwQAAAMIAALBBAACwQQAAsMEAADhCAAA0QgAANEIAAHDCAACAwQAAREIAABDBAAAgwQAAQEEAAIBBAAC4wQAAgL8AAIA_IAA4E0AJSHVQASqPAhAAGoACAABcvgAAmL0AAEC8AADgPAAATD4AALo-AABEPgAALb8AANK-AAC6PgAAND4AAIq-AAAsvgAAJD4AAHC9AABUvgAA7j4AAMg9AABMPgAAFT8AAH8_AACovQAAUD0AAEA8AABEvgAADL4AANi9AAA0vgAAND4AAI4-AAB8PgAA4LwAAII-AAAsPgAAoLwAAJi9AAAUPgAAqL0AAPK-AADIvQAAhr4AAFC9AABQPQAABL4AACy-AABEvgAAUD0AAIK-AACAOwAAoLwAABA9AABMvgAA3j4AABU_AADgPAAAoDwAAE8_AABEPgAAEL0AAAw-AABEvgAA4DwAADQ-AADgPCAAOBNACUh8UAEqjwIQARqAAgAAjr4AAKg9AADYvQAAR78AACS-AAD4vQAAtj4AAJi9AACOPgAA2L0AAIg9AABsvgAAMD0AACy-AADgvAAAgLsAABA9AAANPwAAqL0AAJ4-AADoPQAAML0AADA9AAAkvgAAgLsAAOg9AACAuwAAFD4AAFA9AAAQvQAAmD0AANg9AADovQAANL4AABA9AADYvQAA6D0AAOg9AAAsvgAAND4AAMo-AABMvgAAUD0AANg9AADovQAAgLsAAH-_AACAOwAATL4AAHQ-AAAMPgAA6D0AAJi9AABwPQAAij4AAPg9AADovQAAFD4AAKC8AABEvgAAmD0AAES-AAAwvQAAqD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1-sE6xqBmXI","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":480,"cheight":270,"cratio":1.77777,"dups":["8438169921620633707"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"627217662"},"8355278477561672040":{"videoId":"8355278477561672040","docid":"34-5-6-ZD134867D1C9953BC","description":"So I decided randomly spur of the moment to have a TheBeautyofMath(TBOM) NCAA March Madness Bracket challenge just for fun. The first prize in each bracket(mens basketball and womens basketball)...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3243621/56eb401a986fd872d869d7372a422ad5/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/nXxzJwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"TheBeautyofMath 2023 Bracket Pool Challenge(With Prizes)","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=idizG1eqflw\",\"src\":\"serp\",\"rvb\":\"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-AAH8QgDBQn8Av4N9_D2_v0A5QH3-vj-AQD1AfsOCAAAAPkC-v4HAAAABQrzD_39AQATCAEN9AD_AAwACPv8AAAA8Ajz9_8BAAAKCAP5AwAAAAfx-vf_AAAA-BAF7___AAAGDvgDAQAAABf_9g8AAAAAIAAtQo--OzgTQAlITlACKoQCEAAa8AFyD9r9uDL0_wQcIgEK1CsAkfUw_0HrFQAqFPkCrA3-AYEDAQP4HtkA-AAY_-Ih3v7F_usADuT_APww5wCpCwUARur6ADfj6QAjDgD_IWjs_QHo7v0Hq93990H4_xwOD_76y839MQfQ_rTtKAInPwQCPhHk_TPcEwI73uj_5tfx9-8O4wXk8C0CRw3J_TgbAAG5GwMCCtAV_9oH__oR8gwI6TrSACHd3gfoCzUFOSEIABC6-voPDw_zCtkY-_kb_hA7ywP48uAK_dsJEwIV_uz6zCX59cMN-fo28wv52a8HBtkd6AcE1hAC5ev1-d0s-O4gAC3LxPY6OBNACUhhUAIqzwcQABrAB7vu1b7bGSa8gvFCO8PmvT3BSxq9G0sYPM3Aor0zJhO9lD8pPKjoQz0jLC673HWgvaCoTL7sq2a9qVGjO4GyCT7tRyq9acMhPVwaZD3vBiy8vXI9PPXxcL7__oC6HKZMPTkqJz5gsHo7OeoPPEG2HD7BMKo8jUl7OwGiMD6Frbw710CpPLvkST2V7q480CKAvO8a9LxmxjK7m-oDPOYtTb28plG8GmGbPLdXSz1WdNa7xqcgvZdSV76fo8A6tr_OPGn-KD6LXdM7RwsrPOWDeT3_gD084DBRvPID_DtBTQi9s4mCvPbtZL57Uyo7d_6jvCj0Kr4LqCA8NDE4PGLrYz30mNI8DLJlvM90tb00-cE7018WuwPlyz3AN1K94dKxPE2aa70kdKE9akzIPPFmPT59NVG9iXHIuydUK715Lde8gF1yvBKrdT0QAWw9a4QzuQcp2D3_WfO8oImwvHtVgr2xYAy9t2-_vPsedT3AIt896pkYuzt0xT0HAR69rhQbvD35ir0viMi7Ll25O8CwHL4d3hg8o2roO0xoljsgtQu88zwZPAOCD72ki809e7rfOxIiLz3k_j69OnmRu4qikT1BM2M7XV8WvIdUbL2zwI09rBQnvOjn-roJ5gG8TxhevMD6ibyH1lS8pYGEPNJSeb1scTI9APXuu3xmxD3B38Q9wteiubX1mD05gq-8eRgDu2A5Ij6uLNG8cJUKui3PgzyaGx09m2ZsuzxEyD1rz1G8CTS3uhtM4z2kCrW7THVVt1LsLb1rPhe8bRp3uXLCBL0DEDK9TXmTuakiprx1YkW8Q9HNuBBNyr1maoI9USSAt864-rzGjgG9EmjGt2pQTz0TfBM8lEsSuep2pj2qR5q9eW1HufnA6bv5pG68Di-QuGkPRTy4MhI99vU2udXXqTqfGx89n46gt5FCiT2i4zS8hpaSuOalCztTuzW9fdzCOByPjj1mvM09rWOFuC8Ulb0rNBC9N-LTuG5M9DzCtQQ96xAmN4wIgD1LTOE80qQcOE62IT1k6UO9znuct64CZr3-17m8rTWit3BwEz0RXEA86t2AOQMaVr0XI_e8M7c2twJDGLx-hAg8g4uwN3Vat7yY60O90KjFNgIB4TxEMw-9OQafuBDFybwM6lu90dKSOMs4OjsqXAo967CDN-sbuD1PJzQ9nDWFt6OanT3b3m694HUNOG2GgD2tZoK8Y1puuIFdLb1l7YU9pp5PuJITuzo9KCi9HEtquLmX6jwcSR29SKEiNW0Olr0uhGY9BO-3NyAAOBNACUhtUAEqcxAAGmDbCwA12_6x9Pkq2BII6-4oBgDb-QQ7_xUF_wsjIPL_MfuPFe3_UNUJ26QAAAAmIP1KGwDIf_y4-Lb7-_DAtRNG-3f2H_fqAQ8XECog2-P7R6TtDB4A4eHSOh4iLlsJAzMgAC3Zwxs7OBNACUhvUAIqrwYQDBqgBgAAwEAAAABBAACwQQAAIMEAANhBAABQwQAAQMEAAEBAAADowQAAgMEAAAzCAABIwgAAXMIAAIC_AABwQgAA2EEAAEDBAACCwgAA8MEAAMjBAABwQgAAPMIAAFBBAAAkQgAAQEIAAOjBAAA0wgAA6MEAAIpCAACwQQAA6MEAAJDBAADWwgAArEIAAOBBAAA0wgAAJMIAAJhBAAC4wQAAMEEAAIZCAACAwgAAIMEAAChCAABYQgAAUMEAAAjCAADwwQAAYEIAAHBBAACqwgAAAEAAAKDBAABgwQAAFEIAAFBCAACYwgAAwEAAAFRCAAAkwgAAwEEAAOBAAAAkwgAATMIAACBCAAC2wgAAyEEAAIDAAABMQgAAGMIAABDBAAAYQgAA4MAAAJhBAACYwgAAAEEAAOBAAAAAwAAAYEEAAODBAADmwgAANEIAAIC_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-EEAAAhCAAAwwQAA2MEAALDBAADIQQAAGMIAAODBIAA4E0AJSHVQASqPAhAAGoACAABwPQAAcL0AABw-AABAPAAAuD0AAJg9AACoPQAAHb8AACS-AACgPAAAiL0AAEy-AACoPQAAmD0AAJK-AADoPQAAXD4AAJg9AAC4PQAA1j4AAH8_AADCPgAAcD0AAKg9AABQPQAABL4AANi9AADovQAAHD4AAHw-AADIPQAAcD0AAAy-AABQvQAALL4AALg9AABMPgAALL4AAIq-AACWvgAAfL4AAKg9AABAPAAAMD0AAPi9AAAcPgAAiL0AAFC9AABAPAAAXL4AAJI-AACAOwAAHD4AAJ4-AAB8vgAAmL0AAEk_AADgPAAAiL0AAOA8AACGvgAAFD4AAHA9AACWviAAOBNACUh8UAEqjwIQARqAAgAAlr4AAKA8AAAUPgAAK78AAJg9AABAvAAA2D0AAHC9AAAQvQAAcD0AAIC7AAAcvgAAED0AANi9AAAwvQAAoDwAANg9AAA5PwAAUD0AAJY-AABMPgAAcL0AAIC7AAAEvgAAmD0AALi9AADIvQAAED0AACQ-AAAUPgAAED0AAIg9AACAuwAA2L0AAGQ-AACYvQAA4LwAAIi9AAA8vgAAqD0AAEw-AAAcvgAA-D0AAAS-AAAcvgAAqD0AAH-_AAAkPgAAuL0AAHC9AAAkPgAAQLwAAIi9AADYPQAAMD0AANg9AABQvQAAoDwAAOA8AACAOwAAiL0AAMa-AACgvAAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=idizG1eqflw","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8355278477561672040"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"981084932"},"16511358282355335932":{"videoId":"16511358282355335932","docid":"12-6-8-ZAC668E54B91BE9B4","description":"My AP Language final project about the beauty of mathematics.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4411994/b0c3496d9bb369ede44d46ebd31bcb8d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zoyGIgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty of Math","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DbAqVyAffAo\",\"src\":\"serp\",\"rvb\":\"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_E80DggQkAYAEKyqLARABGniB7gH5_fwFAAT1EAT7CPwC9wr7BPn9_QACCPv9_wT-AAD-AQMHAQAA_w0ACfsAAAABBwH-8v4BAA0NAfoFAAAAFQX98fwAAAAR9wX__wEAAPn5_gYD_wAADA0N9wAAAAAAAPoEBQAAAPcLCP0AAAAABAH7BAAAAAAgAC1xht47OBNACUhOUAIqhAIQABrwAX8C-v-s2Bb9AuPuANH_1AC9EQQAUhvyAdoMJQDSGewBIDEaABcINgDrBL8ArNEAAMD6_f5C7BQAPvcT_0vyB__LBRcAFfW9ARg45gDm2gT__R_4_8YDDv_9AcwAGvP_ATXVG_4pBtf-9xnuBU4vIgAH-_YCE-79BN3qGgTzHQr-CvDWAAUYDgT_8ev_CwX5BeMZ_vk3Bv3_yiHr_xD7HQXTHRoB_ALz-_by4QQgJ_4H-Mr--R8n7vfgzwcF5wLvCKsICvcQ2QXx7QIP-f7xAvfuCQULIwcABM70FPcF2hkC3vLsAdbmDe0W_hUCDOz6ByAALfjGETs4E0AJSGFQAipzEAAaYBMFACUWId3o_T793PPn_f8R9uwQBukABgYA7wgDER0T7-kQ_gAS7Br2yQAAAPjtKxwCANRJ0eLp6u0MD-3hFAYKf_oE_usKEBbG--Hb4QoEFuH6RQDp-s8VFBgGExAsMSAALQogajs4E0AJSG9QAiqvBhAMGqAGAACowQAAQEAAAFhCAADAQAAANMIAAJBBAACQQgAAKMIAAKDBAAAAwgAAoMEAAFjCAACAQgAAKEIAABxCAACIwQAADEIAAODAAABgQQAAoMEAAMBBAACgQQAAYEEAADBCAAAwQQAANEIAAKhBAAAgQQAA8MEAAPBBAAAQwgAAQEEAAAAAAADAwQAAFMIAAATCAAAAQAAA0EEAAPjBAADAQAAAcEEAAIjCAAD4QQAA8MEAAEBAAAAIQgAAwEAAABzCAAAIQgAAmsIAAEzCAABUwgAAgEAAAGDBAACAQAAAkMEAAMTCAADoQQAAFEIAAExCAABQwQAAyMEAAGBBAAAkwgAADMIAALhBAACCwgAAyMEAAHBCAAC0QgAAIMIAAHBBAABAwAAAuEEAAFhCAABgQQAAhsIAAFBBAADwwQAAsEEAABDCAAAsQgAA-MEAAETCAADYQQAA4MAAAFBCAACEQgAAkEIAAEBBAACgQQAAgMEAAGRCAAAAwAAAAEAAAKzCAABAQQAAAEAAANjBAABYwgAAQMIAAJLCAAAwwQAALMIAADzCAABgQgAAoEAAALjBAAAwwQAApkIAAKhCAADQwQAAmMIAAGBBAAAQQQAAoMEAADBBAAAcwgAAQMAAAMjBAABQQgAAvsIAAMBBAAAkQgAAgMIAADBCAACKwgAAuMEAAAzCAAAoQgAAFMIAAMBBAABMwgAAUEIAAADBAAAAAAAAAEIAAEDCAADYwQAAeMIAABxCAAAYwgAACEIAAHzCAABoQgAAEMIAAEBCAAAgQgAA4MEAADhCAACAwgAAqEEAAIDCAACAQAAAdEIAAIC_AACAQQAAKMIAAAxCAABUQgAA0EEAAFxCAACewgAAyMEAAODAAACgwQAAaMIAAEDBAAAoQgAAikIAAAAAAAAUQgAAmMEAAKDBAADgQAAAqsIAANDBAAAAwQAAaEIAAGDBAADIQQAAAEEAAFDCAAAUwgAAAEIAABhCAAB4QgAAsEEAAFDBAABcQgAA0EEAAOhBAABEQgAAAMAAAKBBAAAIQgAA4EAAACDCAABkQgAAPMIgADgTQAlIdVABKo8CEAAagAIAAAS-AAAEvgAAJD4AAIA7AAAcPgAAlj4AAKA8AAAJvwAAnr4AABQ-AAAMPgAAZL4AAAS-AACYPQAAEL0AAAS-AADaPgAAQDwAAIC7AACiPgAAfz8AAMg9AAAwPQAAHD4AAEA8AAAMvgAAHL4AAAS-AABkPgAAgj4AACQ-AADIvQAAND4AAEQ-AACgPAAA-L0AAOg9AACavgAAyr4AAEA8AAA0vgAARL4AAMg9AACAuwAAhr4AANi9AADgPAAA4LwAABy-AADYvQAAML0AAOi9AACyPgAA4j4AAAS-AAAQPQAART8AACw-AAAwPQAAED0AABy-AADIPQAADD4AACS-IAA4E0AJSHxQASqPAhABGoACAACSvgAAyD0AAAS-AAA1vwAAqL0AAJi9AACKPgAAEL0AAIo-AAD4vQAAED0AAES-AACAOwAAPL4AAKA8AABAPAAAqD0AABk_AAD4vQAAij4AADA9AACgPAAAMD0AAFC9AADgvAAAND4AAOA8AAA0PgAA4DwAAEC8AAAEPgAAuD0AANi9AADgPAAAiD0AALi9AABkPgAAqD0AAIq-AACoPQAAsj4AACy-AABAPAAAJD4AANi9AAAQvQAAf78AAFA9AABkvgAATD4AAMg9AAC4PQAAML0AABA9AACSPgAABD4AAHC9AAAEPgAAiD0AAAS-AACoPQAA6L0AAIi9AACYPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=DbAqVyAffAo","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["16511358282355335932"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4009073863"},"16215568366152082273":{"videoId":"16215568366152082273","docid":"12-1-7-ZF5FBD35D901A8603","description":"In this fascinating video from the "Physics" channel, we explore the beauty of mathematics and its relationship to physics. The video delves into the fundamental role that mathematics plays...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/950215/6de6c00de82af9e464fd2e865909cd60/564x318_1"},"target":"_self","position":"18","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"கணிதத்தின் அழகு - The Beauty of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iHiKrnHUuFE\",\"src\":\"serp\",\"rvb\":\"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_E4IBggQkAYAEKyqLARABGniB9P_-BfsGAAP6DQ0FCvoC8gn5_Pr-_QD_A__8-QX-AO8ABP8NAAAA-g8D_gYAAAD8AgME9v4BAAwA_QP7AAAAEf4A-f8AAAAcAAH6_gEAAP4HAwAC_wAAEQkIAf8AAADzCwIBBPr4BP4J_wMAAAAABPz5_gAAAAAgAC1PGOQ7OBNACUhOUAIqcxAAGmAHDwAqEhHzxxQg6ufs4QH-Bwvl9ezpAAQDAAIE_wESBuXL9wb_A94N4cUAAAAL5CMPHwDOUebazxEZ_wDx0fwTN3_1EQD5LgPx3gkN7P0cMvbf6zYA5gXT_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-MEAAKbCAADQwQAA4MEAAARCAABQQgAAOMIAAJRCAABQQgAAIEEAAFRCAADAQAAAmsIAAMDBAADgQAAA0MEAACBCAAAgwgAA6EEAAHDBAAAQQQAAdEIAACTCAACoQQAAwMEAAKBBAADQQQAAYMEAAKBAAAAYQgAAAMIAAKTCAAD4wQAACEIAALhBAACowQAAEMIAADDBAACIQQAA2EEAAOBAAACgQQAACEIAAHhCAACAvwAAoEEAABjCAACIwgAAoMAAANDBAAAMwgAAOMIAAGBBAAC0QgAA6MEAAIrCAAAAQAAAyMEAACBBAAAgQQAAMMEAANBBAABAwQAA6EEAAODBAACIwQAAQMAAAEDCAABIQgAAZEIAAEDBAADgwQAANMIAAADCIAA4E0AJSHVQASqPAhAAGoACAABEvgAABL4AAAQ-AADgPAAAmD0AAO4-AAAwvQAAIb8AAIq-AAAcPgAALD4AAFC9AACgvAAAgj4AANi9AAB8vgAAtj4AABA9AACIPQAA1j4AAH8_AACIvQAALD4AAFA9AADovQAAHL4AAEC8AACIvQAADD4AADw-AAA0PgAAZL4AADC9AAAEPgAAiL0AABC9AAAwPQAABL4AAOq-AAB8vgAAHL4AAAS-AADgPAAAHL4AAPi9AAB8vgAAZD4AAOi9AACovQAA3r4AAFS-AAAwvQAA3j4AAK4-AACCvgAAQLwAAFE_AADoPQAAiD0AAOA8AAAsvgAAQLwAAJg9AAAsviAAOBNACUh8UAEqjwIQARqAAgAARL4AAKg9AACYvQAAIb8AACS-AABwvQAAuj4AAIi9AABQvQAA6D0AACQ-AABkvgAA4LwAAHS-AADovQAAED0AACQ-AAD-PgAAcL0AAHQ-AAA8PgAADD4AAMi9AAAkvgAAED0AALg9AADgvAAAmD0AAMi9AADgvAAALD4AAIA7AAAwvQAA-L0AABA9AAAQvQAAmD0AACQ-AABkvgAAoLwAAMo-AABAvAAABD4AABC9AACYvQAAEL0AAH-_AABwPQAAiL0AAAw-AACyPgAALD4AAIg9AADgvAAAPD4AAKA8AADovQAAXD4AAPi9AADYvQAAuL0AAKi9AACgPAAAND4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iHiKrnHUuFE","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16215568366152082273"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11935225374217761387":{"videoId":"11935225374217761387","docid":"12-4-3-Z4C3BB5B327E02FC3","description":"Song: Coldplay - Beautiful World...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3841977/0eccb6619a3258a1fd7047996487c5da/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cLlpkAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","isAdultDoc":false,"relatedParams":{"text":"The Beauty Of Mathematics","related_orig_text":"TheBeautyofMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"TheBeautyofMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=58RmTGtwSJs\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8Td4IEJAGABCsqiwEQARp4gfcE-v76BgAD-g0NBQr6Au4N-QX6_v4A_wP__PkF_gD6Bf8GDwAAAPoK-wMCAAAA9vwJC_X_AQAEBPgHAwAAABgHCPoBAP8AHAAB-v4BAAD4AQr-AgAAAAwUCQEAAAAA9gD_-gMAAAD6AgMHAAAAAAcI-wMAAAAAIAAtWlTkOzgTQAlITlACKoQCEAAa8AF_DhgCjwr--Rv3_wHa_90ArOAZ_0ENCgEDDgcB5wDvAREVAgEP7SX_BhIEAJkTCAHiCfL_HekO_xP0_P8z_AAA_DgcAOf_CwIY9PUBuQMA_-cg_P_Z9gQB-PX4ARb7Fv0B8wX-IBYRBAz_3QIM_jIB-wECAAva9Pz0FAcIAhz_BAT2_wQMBAQAKwH5_P3oFP39DOgEIADqAvg6_gAP6xACGgUP_QAM9wQD8AoE6v39B9nn7P0JGgcE_eUABwAiCAbf9CUF5OEAAO4G6_r_8P4GFBT7_vIX-Qu9-AcDCeHrAA4aEgHg6AIJCx0ICQznBAEgAC30Fzc7OBNACUhhUAIqcxAAGmD_DgAnBRrH4RVK6-Tw2_fvDg72FfsBAPkOAAH-DAoWKv7qAwwAA9sx7sQAAAAC3DEOFADITsLY_fQWEfL46BIUC38NEvfgMQ8U0vUQ0tMi_SHRBjQA6_TZGRAb5CkMJUAgAC053FE7OBNACUhvUAIqrwYQDBqgBgAAUMEAAOBAAABMQgAA2EEAACBBAABIQgAAMEIAABjCAABAwgAAZMIAANhBAAAAwAAAnMIAAOjBAACAPwAAYMEAAIBBAACAvwAAAEEAAAjCAABAQQAAgD8AAKBBAAAAwQAALMIAAFBBAABkwgAAgMEAABhCAADAQAAAgEEAAADAAACQwgAACEIAAIDBAADgQAAAkEEAAJxCAACCQgAAwEAAACTCAAAAQQAA-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-AABAvAAA4DwAANg9AADIvQAAtr4AAAy-AAA8PgAAND4AAKi9AAAQvQAAJD4AAIi9AAAsvgAAqj4AAIA7AADgPAAAij4AAH8_AACAOwAA6L0AACQ-AACYvQAAsr4AAOC8AABcvgAAlj4AAJo-AABAvAAAoLwAAIg9AABEPgAAHL4AALi9AAD4PQAAfL4AANq-AABQvQAAlr4AACS-AAAwPQAAoDwAAFS-AADOvgAAcD0AAIg9AACovQAAFL4AAMi9AACYvQAA2j4AALI-AAAkvgAAMD0AADU_AABQPQAAcD0AAIA7AABcvgAAiL0AAAQ-AADgvCAAOBNACUh8UAEqjwIQARqAAgAAFL4AALi9AAD4vQAAMb8AAKC8AADovQAALD4AABC9AADYPQAAQLwAABC9AAAcvgAAFD4AAEy-AABAPAAAcL0AAOA8AAAPPwAAEL0AAJI-AADgPAAAmD0AAJg9AACYvQAAcD0AAPg9AACIPQAAmD0AAMg9AAAwPQAAcD0AAFA9AACAuwAA2L0AAKi9AADIvQAAmD0AAPg9AAAUvgAARD4AAKI-AAAUvgAAiD0AANg9AADovQAAFL4AAH-_AACIPQAANL4AAGw-AAAQPQAAoLwAADA9AACgvAAALD4AAHA9AABwvQAAiD0AANi9AAAsvgAAoDwAAFC9AACYvQAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=58RmTGtwSJs","parent-reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":406,"cratio":3.1527,"dups":["11935225374217761387"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false,"videoContentId":"3517694795"}},"dups":{"17942927806679964947":{"videoId":"17942927806679964947","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007] Explained with Animation! | Matematiğin Güzelliği !#shorts","cleanTitle":"The Beauty of Mathematics Explained with Animation! | Matematiğin Güzelliği !#shorts","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/1ZoEUSoav2M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1ZoEUSoav2M?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":"d3d3LnlvdXR1YmUuY29tO1VDMURWRE9rLTlGSXA2andDaE5iYlk3QQ==","name":"YİĞİT HOCA ile MATEMATİK","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Y%C4%B0%C4%9E%C4%B0T+HOCA+ile+MATEMAT%C4%B0K","origUrl":"http://www.youtube.com/@yigithocailematematik","a11yText":"YİĞİT HOCA ile MATEMATİK. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":9,"text":"00:09","a11yText":"Süre 9 saniye","shortText":""},"date":"21 eki 2025","modifyTime":1761004800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1ZoEUSoav2M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1ZoEUSoav2M","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":9},"parentClipId":"17942927806679964947","href":"/preview/17942927806679964947?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/17942927806679964947?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7303139669799062628":{"videoId":"7303139669799062628","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"The Beauty of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/THQWhMkij2E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/THQWhMkij2E?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":"d3d3LnlvdXR1YmUuY29tO1VDMkh5eURKZGdYM0dSQnFXZElqX1BQQQ==","name":"The Science and Math Channel","isVerified":false,"subscribersCount":0,"url":"/video/search?text=The+Science+and+Math+Channel","origUrl":"http://www.youtube.com/@thescienceandmathchannel","a11yText":"The Science and Math Channel. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":9,"text":"00:09","a11yText":"Süre 9 saniye","shortText":""},"views":{"text":"585,8bin","a11yText":"585,8 bin izleme"},"date":"31 oca 2025","modifyTime":1738281600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/THQWhMkij2E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=THQWhMkij2E","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":9},"parentClipId":"7303139669799062628","href":"/preview/7303139669799062628?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/7303139669799062628?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2277111348074549997":{"videoId":"2277111348074549997","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007] (Why \u0007[Math\u0007] is \u0007[Beautiful\u0007])","cleanTitle":"The Beauty of Mathematics (Why Math is Beautiful)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LA0OdFGanLM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LA0OdFGanLM?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":"d3d3LnlvdXR1YmUuY29tO1VDLUhrUE5pRllBS01WZDNhYzlyeE5IQQ==","name":"Riddle | Math | Discovery","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Riddle+%7C+Math+%7C+Discovery","origUrl":"http://www.youtube.com/@riddlemathdiscovery","a11yText":"Riddle | Math | Discovery. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":101,"text":"1:41","a11yText":"Süre 1 dakika 41 saniye","shortText":"1 dk."},"date":"24 şub 2024","modifyTime":1708732800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LA0OdFGanLM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LA0OdFGanLM","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":101},"parentClipId":"2277111348074549997","href":"/preview/2277111348074549997?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/2277111348074549997?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15427840575315084728":{"videoId":"15427840575315084728","title":"\u0007[The\u0007] \u0007[beauty\u0007] \u0007[of\u0007] \u0007[math\u0007] in personal examples","cleanTitle":"The beauty of math in personal examples","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0Nt2tXNz8sQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0Nt2tXNz8sQ?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":"d3d3LnlvdXR1YmUuY29tO1VDWVJSMFNnYllINTlodElIa3dUYnFNdw==","name":"Math-life balance","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math-life+balance","origUrl":"http://www.youtube.com/@math-life-balance","a11yText":"Math-life balance. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2016,"text":"33:36","a11yText":"Süre 33 dakika 36 saniye","shortText":"33 dk."},"views":{"text":"5,3bin","a11yText":"5,3 bin izleme"},"date":"29 oca 2022","modifyTime":1643404279000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0Nt2tXNz8sQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0Nt2tXNz8sQ","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":2016},"parentClipId":"15427840575315084728","href":"/preview/15427840575315084728?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/15427840575315084728?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1990575436991276119":{"videoId":"1990575436991276119","title":"\u0007[the\u0007] \u0007[beauty\u0007] \u0007[of\u0007] \u0007[mathematics\u0007] #\u0007[math\u0007] #\u0007[beauty\u0007]","cleanTitle":"the beauty of mathematics #math #beauty","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/DF6j-lrau90","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DF6j-lrau90?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":"d3d3LnlvdXR1YmUuY29tO1VDYmNFa0tlcjV5WlBMTEFqbkc1LUVpZw==","name":"MindSphere","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MindSphere","origUrl":"http://www.youtube.com/@MindSphereYT","a11yText":"MindSphere. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":23,"text":"00:23","a11yText":"Süre 23 saniye","shortText":""},"views":{"text":"9,3milyon","a11yText":"9,3 milyon izleme"},"date":"10 nis 2024","modifyTime":1712707200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DF6j-lrau90?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DF6j-lrau90","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":23},"parentClipId":"1990575436991276119","href":"/preview/1990575436991276119?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/1990575436991276119?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1573941493961165757":{"videoId":"1573941493961165757","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"The Beauty of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZRx91CPmUZE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZRx91CPmUZE?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":"d3d3LnlvdXR1YmUuY29tO1VDTm9INVFwNVBmZlVCM3FNOTg0X2otUQ==","name":"NourFoundation","isVerified":false,"subscribersCount":0,"url":"/video/search?text=NourFoundation","origUrl":"http://www.youtube.com/@NourFoundation","a11yText":"NourFoundation. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":215,"text":"3:35","a11yText":"Süre 3 dakika 35 saniye","shortText":"3 dk."},"date":"9 oca 2024","modifyTime":1704758400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZRx91CPmUZE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZRx91CPmUZE","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":215},"parentClipId":"1573941493961165757","href":"/preview/1573941493961165757?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/1573941493961165757?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"794915094523105720":{"videoId":"794915094523105720","title":"\u0007[The\u0007] \u0007[beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"The beauty of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=3bVcMmuJZ80","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3bVcMmuJZ80?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":"d3d3LnlvdXR1YmUuY29tO1VDN2RZSUNKMFJocHJhT3VJYlE1Q0pIZw==","name":"Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+%26+Physics","origUrl":"http://www.youtube.com/@MathPhysics","a11yText":"Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":33,"text":"00:33","a11yText":"Süre 33 saniye","shortText":""},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"16 ara 2022","modifyTime":1671148800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3bVcMmuJZ80?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3bVcMmuJZ80","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":33},"parentClipId":"794915094523105720","href":"/preview/794915094523105720?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/794915094523105720?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17019711520349219889":{"videoId":"17019711520349219889","title":"\u0007[The\u0007] \u0007[beauty\u0007] \u0007[of\u0007] \u0007[mathematics\u0007]","cleanTitle":"The beauty of mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qz_rO_VDWKs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qz_rO_VDWKs?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":"d3d3LnlvdXR1YmUuY29tO1VDRkx5aFoyWXZWSU5WTjVVS21DRUF5dw==","name":"Chinese Life Featured 中国生活剪影","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Chinese+Life+Featured+%E4%B8%AD%E5%9B%BD%E7%94%9F%E6%B4%BB%E5%89%AA%E5%BD%B1","origUrl":"http://www.youtube.com/@chineselifefeatured7277","a11yText":"Chinese Life Featured 中国生活剪影. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":150,"text":"2:30","a11yText":"Süre 2 dakika 30 saniye","shortText":"2 dk."},"views":{"text":"628,2bin","a11yText":"628,2 bin izleme"},"date":"8 mar 2020","modifyTime":1583625600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qz_rO_VDWKs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qz_rO_VDWKs","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":150},"parentClipId":"17019711520349219889","href":"/preview/17019711520349219889?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/17019711520349219889?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17971577213223148048":{"videoId":"17971577213223148048","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007] - eduroad","cleanTitle":"The Beauty of Mathematics - eduroad","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=462mf7GUqXo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/462mf7GUqXo?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":"d3d3LnlvdXR1YmUuY29tO1VDVHhYdVoxNjdXdk43U0h2LWduMnB5Zw==","name":"Arbee_Crafts","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Arbee_Crafts","origUrl":"http://www.youtube.com/@Arbee_Crafts","a11yText":"Arbee_Crafts. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":127,"text":"2:07","a11yText":"Süre 2 dakika 7 saniye","shortText":"2 dk."},"date":"18 ağu 2020","modifyTime":1597708800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/462mf7GUqXo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=462mf7GUqXo","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":127},"parentClipId":"17971577213223148048","href":"/preview/17971577213223148048?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/17971577213223148048?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12566218260697973503":{"videoId":"12566218260697973503","title":"The Story of \u0007[TheBeautyofMath\u0007]","cleanTitle":"The Story of TheBeautyofMath","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=v9SUQgCYDwo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/v9SUQgCYDwo?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":"d3d3LnlvdXR1YmUuY29tO1VDd0wyOW93U1l3a3IybkZNS3NfcE45dw==","name":"TheBeautyofMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TheBeautyofMath","origUrl":"http://www.youtube.com/@TheBeautyofMath","a11yText":"TheBeautyofMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1879,"text":"31:19","a11yText":"Süre 31 dakika 19 saniye","shortText":"31 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"28 kas 2023","modifyTime":1701129600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/v9SUQgCYDwo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=v9SUQgCYDwo","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":1879},"parentClipId":"12566218260697973503","href":"/preview/12566218260697973503?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/12566218260697973503?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17135485446747762369":{"videoId":"17135485446747762369","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Maths\u0007] - YouTube Music","cleanTitle":"The Beauty of Maths - YouTube Music","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Bo63pYwtAtE&list=PLMgKT58irMikMqDjqszzoXlECv68ABvSo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Bo63pYwtAtE?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":"d3d3LnlvdXR1YmUuY29tO1VDQjA4a3B5elNJQkt3UEMzS0RSXzMtZw==","name":"LIONGEIST","isVerified":true,"subscribersCount":0,"url":"/video/search?text=LIONGEIST","origUrl":"http://www.youtube.com/channel/UCCUwwphb4oC2p4VhPPnFJ3w","a11yText":"LIONGEIST. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":313,"text":"5:13","a11yText":"Süre 5 dakika 13 saniye","shortText":"5 dk."},"date":"13 oca 2019","modifyTime":1547337600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Bo63pYwtAtE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Bo63pYwtAtE","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":313},"parentClipId":"17135485446747762369","href":"/preview/17135485446747762369?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/17135485446747762369?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3121477572132426236":{"videoId":"3121477572132426236","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"The Beauty of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=nrP6vMXB6X0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/nrP6vMXB6X0?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":"d3d3LnlvdXR1YmUuY29tO1VDX0dBU2dxRHl3SUpYbEJUMGJUR040Zw==","name":"Fritzel Media","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Fritzel+Media","origUrl":"http://www.youtube.com/@FritzelMedia","a11yText":"Fritzel Media. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":239,"text":"3:59","a11yText":"Süre 3 dakika 59 saniye","shortText":"3 dk."},"views":{"text":"76,3bin","a11yText":"76,3 bin izleme"},"date":"1 mayıs 2015","modifyTime":1430438400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/nrP6vMXB6X0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=nrP6vMXB6X0","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":239},"parentClipId":"3121477572132426236","href":"/preview/3121477572132426236?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/3121477572132426236?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6856677608212468265":{"videoId":"6856677608212468265","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007] Part 1","cleanTitle":"The Beauty of Mathematics Part 1","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=33r6m9Pq69I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/33r6m9Pq69I?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":"d3d3LnlvdXR1YmUuY29tO1VDeVZITi1rRnl1emwtU0hPSmhlS1dodw==","name":"Dylan 2.0","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dylan+2.0","origUrl":"http://www.youtube.com/@dylan2.053","a11yText":"Dylan 2.0. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":431,"text":"7:11","a11yText":"Süre 7 dakika 11 saniye","shortText":"7 dk."},"date":"16 tem 2017","modifyTime":1500163200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/33r6m9Pq69I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=33r6m9Pq69I","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":431},"parentClipId":"6856677608212468265","href":"/preview/6856677608212468265?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/6856677608212468265?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8438169921620633707":{"videoId":"8438169921620633707","title":"\u0007[the\u0007] \u0007[beauty\u0007] \u0007[of\u0007] \u0007[mathematics\u0007] 2","cleanTitle":"the beauty of mathematics 2","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1-sE6xqBmXI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1-sE6xqBmXI?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":"d3d3LnlvdXR1YmUuY29tO1VDclhQcU1qUXQyMWJ5c29wak43NUdBZw==","name":"libuntux","isVerified":false,"subscribersCount":0,"url":"/video/search?text=libuntux","origUrl":"http://gdata.youtube.com/feeds/api/users/libuntux","a11yText":"libuntux. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":285,"text":"4:45","a11yText":"Süre 4 dakika 45 saniye","shortText":"4 dk."},"views":{"text":"69,3bin","a11yText":"69,3 bin izleme"},"date":"4 oca 2008","modifyTime":1199404800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1-sE6xqBmXI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1-sE6xqBmXI","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":285},"parentClipId":"8438169921620633707","href":"/preview/8438169921620633707?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/8438169921620633707?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8355278477561672040":{"videoId":"8355278477561672040","title":"\u0007[TheBeautyofMath\u0007] 2023 Bracket Pool Challenge(With Prizes)","cleanTitle":"TheBeautyofMath 2023 Bracket Pool Challenge(With Prizes)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=idizG1eqflw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/idizG1eqflw?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":"d3d3LnlvdXR1YmUuY29tO1VDd0wyOW93U1l3a3IybkZNS3NfcE45dw==","name":"TheBeautyofMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TheBeautyofMath","origUrl":"http://www.youtube.com/@TheBeautyofMath","a11yText":"TheBeautyofMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":214,"text":"3:34","a11yText":"Süre 3 dakika 34 saniye","shortText":"3 dk."},"date":"14 mar 2023","modifyTime":1678752000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/idizG1eqflw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=idizG1eqflw","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":214},"parentClipId":"8355278477561672040","href":"/preview/8355278477561672040?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/8355278477561672040?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16511358282355335932":{"videoId":"16511358282355335932","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Math\u0007]","cleanTitle":"The Beauty of Math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DbAqVyAffAo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DbAqVyAffAo?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":"d3d3LnlvdXR1YmUuY29tO1VDTHo0TjZqRXNGWUV3YkpURngzRThpdw==","name":"Shubhang Desai","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Shubhang+Desai","origUrl":"http://www.youtube.com/channel/UCLz4N6jEsFYEwbJTFx3E8iw","a11yText":"Shubhang Desai. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":461,"text":"7:41","a11yText":"Süre 7 dakika 41 saniye","shortText":"7 dk."},"date":"21 mayıs 2015","modifyTime":1432166400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DbAqVyAffAo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DbAqVyAffAo","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":461},"parentClipId":"16511358282355335932","href":"/preview/16511358282355335932?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/16511358282355335932?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16215568366152082273":{"videoId":"16215568366152082273","title":"கணிதத்தின் அழகு - \u0007[The\u0007] \u0007[Beauty\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"கணிதத்தின் அழகு - The Beauty of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iHiKrnHUuFE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iHiKrnHUuFE?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":"d3d3LnlvdXR1YmUuY29tO1VDZmwyN1o1VW5aUW11b0NzWnU1WkRLZw==","name":"Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics","origUrl":"http://www.youtube.com/@PhysicsMosses","a11yText":"Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":130,"text":"2:10","a11yText":"Süre 2 dakika 10 saniye","shortText":"2 dk."},"date":"14 nis 2023","modifyTime":1681430400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iHiKrnHUuFE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iHiKrnHUuFE","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":130},"parentClipId":"16215568366152082273","href":"/preview/16215568366152082273?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/16215568366152082273?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11935225374217761387":{"videoId":"11935225374217761387","title":"\u0007[The\u0007] \u0007[Beauty\u0007] \u0007[Of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"The Beauty Of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=58RmTGtwSJs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/58RmTGtwSJs?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":"d3d3LnlvdXR1YmUuY29tO1VDcThHelZfYnY1dlVyMGZIdnZzRGMwQQ==","name":"Diego A","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Diego+A","origUrl":"http://www.youtube.com/@diegoa191","a11yText":"Diego A. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":119,"text":"1:59","a11yText":"Süre 1 dakika 59 saniye","shortText":"1 dk."},"date":"12 eki 2016","modifyTime":1476230400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/58RmTGtwSJs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=58RmTGtwSJs","reqid":"1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL","duration":119},"parentClipId":"11935225374217761387","href":"/preview/11935225374217761387?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","rawHref":"/video/preview/11935225374217761387?parent-reqid=1769748703432985-8862021902578095640-balancer-l7leveler-kubr-yp-klg-149-BAL&text=TheBeautyofMath","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":"8620219025780956407149","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"TheBeautyofMath","queryUriEscaped":"TheBeautyofMath","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"}}}