{"pages":{"search":{"query":"Mathologist101","originalQuery":"Mathologist101","serpid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","parentReqid":"","serpItems":[{"id":"7364070969025047620-0-0","type":"videoSnippet","props":{"videoId":"7364070969025047620"},"curPage":0},{"id":"15785139614876635270-0-1","type":"videoSnippet","props":{"videoId":"15785139614876635270"},"curPage":0},{"id":"16065927124198051914-0-2","type":"videoSnippet","props":{"videoId":"16065927124198051914"},"curPage":0},{"id":"14842919973974090140-0-3","type":"videoSnippet","props":{"videoId":"14842919973974090140"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGhvbG9naXN0MTAxCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","ui":"desktop","yuid":"3353384151769177973"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"47604399294532027-0-5","type":"videoSnippet","props":{"videoId":"47604399294532027"},"curPage":0},{"id":"11480099783540153062-0-6","type":"videoSnippet","props":{"videoId":"11480099783540153062"},"curPage":0},{"id":"18000672779221551864-0-7","type":"videoSnippet","props":{"videoId":"18000672779221551864"},"curPage":0},{"id":"6507169637625171535-0-8","type":"videoSnippet","props":{"videoId":"6507169637625171535"},"curPage":0},{"id":"4930367907404598699-0-9","type":"videoSnippet","props":{"videoId":"4930367907404598699"},"curPage":0},{"id":"14176896858266117113-0-10","type":"videoSnippet","props":{"videoId":"14176896858266117113"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGhvbG9naXN0MTAxCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","ui":"desktop","yuid":"3353384151769177973"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"5781692673911816366-0-12","type":"videoSnippet","props":{"videoId":"5781692673911816366"},"curPage":0},{"id":"3793905105527593277-0-13","type":"videoSnippet","props":{"videoId":"3793905105527593277"},"curPage":0},{"id":"12075548057275436447-0-14","type":"videoSnippet","props":{"videoId":"12075548057275436447"},"curPage":0},{"id":"2888355133493254707-0-15","type":"videoSnippet","props":{"videoId":"2888355133493254707"},"curPage":0},{"id":"15539631457324284144-0-16","type":"videoSnippet","props":{"videoId":"15539631457324284144"},"curPage":0},{"id":"5497243839048034317-0-17","type":"videoSnippet","props":{"videoId":"5497243839048034317"},"curPage":0},{"id":"13386754235980051471-0-18","type":"videoSnippet","props":{"videoId":"13386754235980051471"},"curPage":0},{"id":"671749714423571232-0-19","type":"videoSnippet","props":{"videoId":"671749714423571232"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"prevention":{},"hasNextPage":true,"rightSerpItems":[{"type":"direct","id":"search-list-right","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"R-I-8843654-1","renderTo":"search-list-right-0-R-I-8843654-1","pageNumber":0,"grab":"dE1hdGhvbG9naXN0MTAxCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","ui":"desktop","yuid":"3353384151769177973"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathologist101"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"6172421327952295189787","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1455698,0,60;1457142,0,42;1471993,0,27;1414492,0,87;1433081,0,5;1424968,0,0;1468855,0,54;1460712,0,57;1462157,0,48;1460214,0,40;1465968,0,64;1444119,0,45;1461642,0,84;1471379,0,82;27392,0,43;1282205,0,20;1466296,0,93;1470864,0,64;1466078,0,95;1452015,0,56;1349071,0,51;1466619,0,1;1064473,0,29;1404017,0,79;1471179,0,63;1,0,44;1470320,0,66;1401740,0,64;1470414,0,92;124070,0,27;151171,0,1;1467834,0,43;1459211,0,99;1281084,0,21;287509,0,10;86181,0,20;1447467,0,47;1466397,0,45"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathologist101","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Mathologist101","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":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Mathologist101","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathologist101: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Mathologist101\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Mathologist101 — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ya78a500982a02def58dabc94307137f5","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1455698,1457142,1471993,1414492,1433081,1424968,1468855,1460712,1462157,1460214,1465968,1444119,1461642,1471379,27392,1282205,1466296,1470864,1466078,1452015,1349071,1466619,1064473,1404017,1471179,1,1470320,1401740,1470414,124070,151171,1467834,1459211,1281084,287509,86181,1447467,1466397","queryText":"Mathologist101","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3353384151769177973","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769177989","tz":"America/Louisville","to_iso":"2026-01-23T09:19:49-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-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":"1455698,1457142,1471993,1414492,1433081,1424968,1468855,1460712,1462157,1460214,1465968,1444119,1461642,1471379,27392,1282205,1466296,1470864,1466078,1452015,1349071,1466619,1064473,1404017,1471179,1,1470320,1401740,1470414,124070,151171,1467834,1459211,1281084,287509,86181,1447467,1466397","queryText":"Mathologist101","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3353384151769177973","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":"6172421327952295189787","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":157,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3353384151769177973","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1753.0__c83439c9643899cbfcbabfd82f198d10e202213a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"7364070969025047620":{"videoId":"7364070969025047620","docid":"34-11-14-ZDCD06E899CD6353F","description":"trigonometry, calculus, geometry, algebra, trig, sine, math, cosine, tangent, sin, trigonometry basics, tan, cos, unit circle...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4146275/a19a7730720b4619742500b2eef233af/564x318_1"},"target":"_self","position":"0","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_ssnRNzmtXU","linkTemplate":"/video/preview/7364070969025047620?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Trigonometry: The Basics You Need to Know explained #trigonometry #calculus #students #math","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_ssnRNzmtXU\",\"src\":\"serp\",\"rvb\":\"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_E_oLggQkAYAEKyqLARABGniB7vYHCAL-APv8_xABCfsCDAD7-vYAAADnAff7-P4BAAMEEP3-AQAA-wb0_P8AAADsCfMAAAEAABP_7wgCAAAAEwn3_fYAAAAWCAL1_gEAAO3y_QwE_wAACe0F__8AAAAFAvLzAAD_AQUE8PwAAAAAAgwPDP8AAAAgAC2d_cw7OBNACUhOUAIqcxAAGmASAQAsNO6h3BYl7PTQ8CTy6hrz9czj_wIXACIn6BUHEcvALSj_O_4C9bAAAAAXKf4T_AD9XeDd-ywgBvqh1tY8K38f-rA6CAEGtOUkLR7xy__lGTUABg7_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_AABgQQAApEIAALDCAAAMwgAAwEEAAIC_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-AACAOwAAyL0AAII-AABQvQAAA78AAFS-AACYvQAAqr4AAOC8AAAcPgAAhj4AACy-AACYvQAAPD4AABA9AACgvAAAAz8AAH8_AACGvgAAUD0AAOg9AACYvQAAMD0AAEA8AADIvQAAZD4AAFw-AACYPQAAZL4AAEy-AAAkvgAAED0AACS-AABsvgAARL4AAFy-AAA0vgAAJL4AALi9AAAcPgAANL4AAPi9AAC4vQAA2D0AAFS-AACYvQAAmD0AABC9AABwvQAA2D0AADC9AAA8vgAAQDwAAEU_AABwvQAAQLwAAEQ-AACAuwAAED0AAAQ-AAC4vSAAOBNACUh8UAEqjwIQARqAAgAAcL0AAFA9AACAuwAAJb8AADy-AACYPQAADD4AAOg9AACYvQAA4LwAACS-AABsvgAAqD0AAIi9AAAMPgAAqL0AAMi9AAAPPwAAuL0AAI4-AABQvQAAHL4AAIC7AADIvQAA4LwAAEy-AACAOwAA4LwAAKA8AADgvAAAgDsAAAw-AACOvgAAED0AAFC9AABQvQAAFD4AAKY-AABkvgAAyL0AABC9AAAQPQAA4DwAAKg9AABwPQAAEL0AAH-_AAA0PgAAJD4AAIA7AAD4PQAAmL0AAKA8AABMPgAAoDwAANg9AACgPAAAqD0AAEC8AACYPQAABD4AAOC8AADgPAAAPL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_ssnRNzmtXU","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["7364070969025047620"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15785139614876635270":{"videoId":"15785139614876635270","docid":"34-5-4-ZD678964729CA654B","description":"Get ready for a mind-blowing journey into the world of mathematical logic! In this captivating video, we dive headfirst into the intriguing realm of Boolean algebra, a fundamental branch of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/762580/1560f56fd958d6ca5d949b6ed83d8f5c/564x318_1"},"target":"_self","position":"1","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dt_mW8zm7IbM","linkTemplate":"/video/preview/15785139614876635270?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Logic: Introduction to #booleanalgebra #maths","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=t_mW8zm7IbM\",\"src\":\"serp\",\"rvb\":\"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-_v7-wUA-wMDDQoI-wIGBvgA9___APr98gMFBP4A-fv_BQUAAAD8BfX8AAAAAP4D_w_3_gEABAT4BwMAAAAQEf72_AAAAA8IBQL-AQAA9v4DBAMAAAAIBA78_wAAAPkF_vj-AAAAAQkN_wAAAAAI_gQGAAAAACAALVmR4js4E0AJSE5QAipzEAAaYP0OAA4hFg_n_Rvx3QTPAeMDDOwH5wsA8f4AEvv55AcZ4eT7D_8R6Azs0AAAAP0BCwwcAOQ88OjFFBT48-Lc9RsLfxQO-_sWAPDdHQcBGfoS79jvEgD1-P4JJgDkGwoYQCAALZX4gTs4E0AJSG9QAiqvBhAMGqAGAAAkQgAAwMAAAJZCAAAYwgAAPMIAACBBAACqQgAAyMEAABTCAAAIwgAAwEAAADDCAAAAAAAAgMAAAMhBAAD4wQAAYEIAANBBAAAAwAAAAMEAAHDBAABswgAAMMEAALhBAAB8wgAAgMEAACjCAABYQgAAEMEAABxCAABMwgAAyMEAAFzCAAAwQQAAYMIAACBBAAA0QgAAIEIAAIA_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-AAD4vQAAZD4AAOA8AAAkvgAA4j4AAIi9AAAnvwAAF78AAEC8AABAPAAAxr4AAMi9AACePgAA-L0AADS-AACyPgAAuL0AAKo-AAArPwAAfz8AABy-AADoPQAAPL4AADS-AAB8vgAA-D0AAHA9AABEPgAAmj4AAIo-AABMvgAAUL0AALg9AAC4vQAAML0AAHC9AACYvQAAmr4AAKi9AACyvgAAML0AADw-AAAUvgAAqL0AAHA9AACuPgAA6r4AADC9AACqvgAAhr4AAOi9AAB0PgAAqD0AADy-AABAPAAATT8AAK4-AABwPQAARD4AAGy-AACKPgAA-D0AAOi9IAA4E0AJSHxQASqPAhABGoACAACCvgAA8j4AAIi9AAAZvwAAir4AADC9AAC6PgAA-L0AAEw-AACiPgAAgDsAAEy-AADYvQAAFL4AAIA7AABAvAAAUL0AAA8_AABMvgAAwj4AADA9AAD4vQAA6L0AANi9AABQvQAAUD0AAIa-AABsPgAAFL4AAOi9AACgPAAAFD4AADC9AADgvAAAbD4AALi9AAARPwAAZD4AACS-AACIvQAAjj4AAKi9AACOvgAA4LwAAKC8AAAwPQAAf78AAIA7AAB0vgAADD4AAI4-AAC4PQAAED0AACQ-AAAEPgAAHD4AAAy-AADIvQAAUD0AAKg9AACoPQAAiD0AAJg9AAA8PiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=t_mW8zm7IbM","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["15785139614876635270"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16065927124198051914":{"videoId":"16065927124198051914","docid":"34-9-0-Z5D4CE1B004999726","description":"Join us on a captivating journey into the world of statistics as we unlock the secrets of calculating the mean using integrals. In this enlightening tutorial, we explore the key differences...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4815002/ac006a2d00e70eaae10ed26988aaeeb4/564x318_1"},"target":"_self","position":"2","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNg-vEVW9Ti8","linkTemplate":"/video/preview/16065927124198051914?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Mean: the Power of Integrals in Statistics!","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Ng-vEVW9Ti8\",\"src\":\"serp\",\"rvb\":\"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_fsE_wHcEfkG-gEBAOgGE_kG_gEA5vX5-Qr_AAD-CfII-wAAAN8GCPf6BAABAQUL9OIA_wAA7wAB9wAAABAc-gP9AQAA3_n89QIAAAASBAgSAAAAAPgFFQf-AAAAFwoEDQAAAAAS_QsFAAAAACAALTRAuzs4E0AJSE5QAipzEAAaYCAMADgDB_jB9jbb9ObHBR_8Hvr56_T_6voAzwv-0Q4W5sEXC_9MxRDiuAAAAAUYEzb-AOhm_svRIAoRCRXb7x0Bf_QDBAE07tvr9SgU7QdMEAQnOgC599IFJdT-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-EEAAKhBAAAcwgAACEIAACjCAAD4QQAAUMEAABRCAAAAQAAA6MEAAEBBAACQwQAAoMAAAETCAACAvwAA6MEAAADCAADYwQAAzEIAAABBAACgwQAAuEEAAAAAAABkwgAAnsIAAIC_AADQQQAAukIAAPjBAACoQQAAmEEAAKDAAAAAQAAAQMAAAADBAADAwQAAQEAAAIhBAADYwQAAiMEAAEDAAADSwgAAAEEAABDBAADowQAASMIAAPhBAABAwQAAQEIAAEDAAAAgQgAAAMAAAAxCAAAkQgAA4MEAAFDCAACQQQAAuEEAACTCAACSwgAANEIAABBBAABgQQAAXMIAAMJCAACswgAATMIAABjCAAAcwgAACEIAAEBAAADIwQAAQEEAABjCAADAQAAAwEAAAETCAADYwQAAwEAAAKBAAACMQgAA4MAAAKBAAADgwAAAFMIgADgTQAlIdVABKo8CEAAagAIAAJi9AAAcvgAAPD4AAEA8AADIvQAAqD0AAPi9AAD-vgAAFL4AABA9AAA0vgAAcL0AAJi9AABcPgAABL4AAIa-AABEPgAAQDwAAOA8AACyPgAAfz8AAAS-AAAsPgAAMD0AAFS-AACgvAAADD4AAEA8AAAwPQAAPD4AAMg9AABUvgAAgLsAAMg9AACAuwAAmD0AAIA7AAAsvgAAlr4AAI6-AAD4vQAAFL4AAFQ-AADIvQAAJL4AADC9AACCPgAATL4AAJa-AAA8vgAANL4AADw-AABkPgAAED0AAKq-AACIvQAAJT8AAAw-AACIPQAAJD4AABC9AADgPAAA2D0AACy-IAA4E0AJSHxQASqPAhABGoACAACKvgAA4DwAACy-AABhvwAAcL0AAIA7AADSPgAAkr4AAFQ-AACoPQAABL4AAFS-AACKvgAAHL4AAIC7AACIPQAAmD0AAPo-AABcvgAAhj4AAAQ-AADgvAAA-L0AAJg9AACIvQAAzj4AALi9AACgPAAAoLwAAFA9AAAwPQAAPD4AADS-AADavgAAir4AAIY-AADiPgAA4LwAAHS-AADqvgAAiD0AAFw-AABMPgAA2D0AAHQ-AABMPgAAf78AACS-AAAQvQAATD4AAAQ-AAAwPQAAND4AADA9AAAcvgAA2D0AAKA8AACAuwAALD4AAOC8AACWPgAAmL0AAIi9AADIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Ng-vEVW9Ti8","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["16065927124198051914"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14842919973974090140":{"videoId":"14842919973974090140","docid":"34-9-10-Z5C527E8F53212528","description":"In this video, basics of mean, mode, median, Normal distribution, #PDF, #CDF, #SF #variance, #Z_score were explained...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2916479/6444455e6783edd9e228400e77e94469/564x318_1"},"target":"_self","position":"3","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DpYtaGbsPamE","linkTemplate":"/video/preview/14842919973974090140?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"One variable data analysis explained #datascience","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=pYtaGbsPamE\",\"src\":\"serp\",\"rvb\":\"EqwDChM3MzY0MDcwOTY5MDI1MDQ3NjIwChQxNTc4NTEzOTYxNDg3NjYzNTI3MAoUMTYwNjU5MjcxMjQxOTgwNTE5MTQKFDE0ODQyOTE5OTczOTc0MDkwMTQwChE0NzYwNDM5OTI5NDUzMjAyNwoUMTE0ODAwOTk3ODM1NDAxNTMwNjIKFDE4MDAwNjcyNzc5MjIxNTUxODY0ChM2NTA3MTY5NjM3NjI1MTcxNTM1ChM0OTMwMzY3OTA3NDA0NTk4Njk5ChQxNDE3Njg5Njg1ODI2NjExNzExMwoTNTc4MTY5MjY3MzkxMTgxNjM2NgoTMzc5MzkwNTEwNTUyNzU5MzI3NwoUMTIwNzU1NDgwNTcyNzU0MzY0NDcKEzI4ODgzNTUxMzM0OTMyNTQ3MDcKFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0ChM1NDk3MjQzODM5MDQ4MDM0MzE3ChQxMzM4Njc1NDIzNTk4MDA1MTQ3MQoSNjcxNzQ5NzE0NDIzNTcxMjMyChQxNzE4NTM1MDc2NjUxNzMxNTQyNwoUMTE0ODM4NjQ3NDAyNDAzOTQ4OTIaFgoUMTQ4NDI5MTk5NzM5NzQwOTAxNDBaFDE0ODQyOTE5OTczOTc0MDkwMTQwaq4NEgEwGAAiRBowAAopaGhtanRsaHFzeW9rdXpiaGhVQ2wwRUVyTTBvcGlnUEpFbXBKT1Z1R0ESAgARKhDCDw8aDz8ToBCCBCQBgAQrKosBEAEaeIH-_ff9_wIA8fv__wgC_wARAwb6B___AOwO_f37_wAA-gUHBPkBAAD-B_QH_AAAAAj29_73_gAA-QbvAAIAAAAZAv0A9wAAABUG_wD-AQAA7PcC_wMAAAAKBf38AAAAAAAIAvcDAAAA9QX2BAAAAAANAvL3AAAAACAALQpv2Ts4E0AJSE5QAipzEAAaYAj-AAULCt_lJAfq6wr85AoOwfAU2f0A3d0A8A734ALx87_w8ABBHCz1wwAAAPb2BCHuAAZFGSLx6AQBHAXo9B0gfzXs7P_2DQbX_OsEBPMN5fEbOwDoDiMZ3t_SAwLHKiAALVhjYDs4E0AJSG9QAiqvBhAMGqAGAACowQAA2MEAAADAAAC4wQAA6EEAABBCAADaQgAAEMEAANjBAAAAQQAANEIAABjCAACGwgAAmMEAAODAAAAswgAAYEEAACzCAABAQAAA4MEAAJBBAADgwAAAAAAAACTCAAAQwQAAoEEAABzCAAAYwgAAEEEAADBBAACgwQAAWEIAACzCAABgQQAASMIAAIBBAABYQgAA0EIAAGjCAAAgQgAAoMEAAODAAACCQgAACMIAAIRCAAAUwgAAtsIAAFBBAAAwQQAAgMAAAABBAADIQQAAUMEAAGDBAAAoQgAAHEIAAADDAACowQAAAMEAAMBBAABAQgAAPMIAAEBBAAC4wgAAQEEAAHzCAACGwgAAzMIAAIC_AACmwgAAqMEAAODAAACcwgAA0EEAAKDBAAAgwQAAcEEAAGBBAAAMQgAA6EEAAHjCAABIQgAAiMIAAABCAACcQgAAwMAAAJhBAAAsQgAAcEEAABDCAAAgwQAAdEIAAMBAAADwQQAA4EEAAFTCAAAQwQAAIMIAAKxCAAAwwQAAOMIAAOhBAACAQQAAuMEAAI7CAAAQQQAAgMAAALBBAAAAQQAACEIAADhCAACAPwAAoMEAAAhCAACAPwAA0EEAADBBAABAwAAAisIAAOhBAACIQQAAAEAAABTCAAAAAAAAQMAAALBBAAAIQgAAPEIAAAjCAAAAQgAAIMEAAJTCAAAAwgAAwEEAADRCAABAwQAAikIAABTCAACWwgAAuMEAAKBAAAAgQQAAAEIAAIBAAAAAQAAA6MEAAAhCAADAwQAAEEIAANBBAADQwQAAEEEAAEBCAAA4QgAAAEIAAIA_AABgwQAAkMEAADBBAADAQQAAuMEAALBBAADAwAAA2sIAACDCAAAAwAAAgD8AAJBCAAAgwQAAQMAAAHDCAAAkQgAAgMAAAADBAADAwAAAkMEAAOhBAACYQQAAUEEAAIhBAAAwwQAAiEEAAJrCAAAYwgAAlEIAAKhBAACEwgAAQMAAAERCAAAAwAAAEMIAAERCAAAQQQAAiMEAAEBBAACIQgAAuEEAAKBBAACMwgAANMIgADgTQAlIdVABKo8CEAAagAIAAIC7AAC4vQAAZD4AALg9AABUvgAAEL0AANi9AAD6vgAAJL4AAAw-AACoPQAAmL0AAEA8AABMPgAAEL0AACy-AABUPgAAmD0AALg9AACiPgAAfz8AABC9AABwPQAAiD0AAHC9AADIPQAAyL0AADQ-AAAMPgAAmD0AANg9AAAMvgAAEL0AADC9AACAuwAALD4AAKg9AAAkvgAAuL0AAES-AAAEvgAA6L0AALg9AACCvgAAED0AAPi9AACYPQAAcL0AABC9AACIvQAAyD0AANg9AACIPQAAQDwAAES-AACAuwAAMT8AAAy-AAAMPgAAVD4AAEC8AACIvQAAfD4AABA9IAA4E0AJSHxQASqPAhABGoACAABkvgAAFL4AAIg9AAAvvwAAED0AACw-AACYPQAAJD4AAFy-AAAcPgAA6L0AABS-AABwvQAAiL0AACw-AABQvQAAuD0AAEs_AACoPQAAdD4AADA9AACgPAAAmD0AADA9AACAuwAA4DwAAFA9AABQPQAAmD0AABw-AAAwvQAAcD0AADC9AAC4vQAABD4AAHC9AAAcPgAADL4AAGS-AACoPQAAgLsAAFC9AABAPAAAJD4AABC9AADgPAAAf78AAEC8AAAQvQAAmD0AAIi9AACIvQAAgLsAAAQ-AAAUPgAAcD0AAOg9AADoPQAAHD4AAEA8AABkPgAAmD0AAEC8AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=pYtaGbsPamE","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["14842919973974090140"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"47604399294532027":{"videoId":"47604399294532027","docid":"34-3-13-ZAEDD2E12E953B119","description":"Welcome to the ultimate mathematical challenge worth $1 million! In this mind-bending video, we tackle complex limit without relying on L'Hôpital's Rule. Join us as we push the limits of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4518776/ca86dadc1c2d35611512b2aec8ad0afa/564x318_1"},"target":"_self","position":"5","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7pvEYsAzOAk","linkTemplate":"/video/preview/47604399294532027?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"$1 Million Limit Challenge: Solving limit Without L'Hôpital's Rule","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7pvEYsAzOAk\",\"src\":\"serp\",\"rvb\":\"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_wA9_byDwgH_ALnBvMK-gAAAOf6-_4E_gEA9QMBAwcAAADxD_cH-wAAAPoT__r3_gEADw_9_vcAAAANAQwE9AAAAPUAAhL_AAAADwT5-gP_AAD--PYG_wAAAPUICAP__wAA8hHyCQAAAAAP9gb7AAEAACAALVxFyjs4E0AJSE5QAipzEAAaYBwIAAf3EOn8CQba_u0ZEfULHvbq2RIAABUA6vwa0Rz6ubwQ_P8u3_8DvwAAACQI6QYhAPJUOOv7Fg7lAffC6B_wfwIJ7wYV6N_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-MEAAIBAAACYwgAADEIAAEDAAAAYwgAAwMEAANDBAACQQgAAuEEAAGDBAACOQgAAwMAAAOjBAADIQgAARMIAAIjBAABQwQAADMIgADgTQAlIdVABKo8CEAAagAIAAIg9AADIvQAAmj4AAOi9AADgPAAApj4AAJi9AAABvwAAHL4AAOA8AAAwvQAAbL4AABw-AACOPgAAiL0AALg9AADoPQAAgLsAABQ-AADuPgAAfz8AABy-AACoPQAAZD4AAGy-AABMvgAAND4AAEQ-AABEvgAAFD4AAPg9AAAsvgAAgr4AAOC8AAB0PgAADL4AAFA9AADovQAAA78AACy-AABsvgAAiD0AAHw-AAAcvgAAFL4AADS-AABUPgAALL4AANg9AABsvgAAFL4AAJi9AACiPgAAtj4AAHy-AADgvAAAOz8AABA9AABQPQAAjj4AAFA9AABUPgAAMD0AAEC8IAA4E0AJSHxQASqPAhABGoACAAAwvQAAMD0AAKi9AAAtvwAAuL0AAIC7AAAwPQAAXD4AAKi9AACmPgAA2D0AAIA7AABEPgAAoLwAAOC8AAC4vQAAML0AACU_AACovQAAsj4AAEA8AAC4vQAAuD0AACS-AADoPQAAML0AABS-AACgPAAABD4AAHA9AACovQAAUL0AAKA8AADovQAAuD0AAIK-AABQvQAA4DwAADC9AAD4PQAA6D0AACy-AABwvQAAuL0AADC9AADIvQAAf78AAJ4-AADYvQAAgDsAAOA8AADIPQAAED0AAFw-AADIvQAAiD0AAJi9AAAUvgAAmD0AALi9AADgvAAADL4AADA9AACIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=7pvEYsAzOAk","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["47604399294532027"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11480099783540153062":{"videoId":"11480099783540153062","docid":"34-1-4-ZF4B5F88FAA995094","description":"#calculus #science #chemistryclass12 #maths #mathematics #mathstricks...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1478072/574d175004032ad17ea303c06dfc6c93/564x318_1"},"target":"_self","position":"6","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DL0Wpgm8Mo4k","linkTemplate":"/video/preview/11480099783540153062?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How to find a length of the partial perimeter of a circle","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=L0Wpgm8Mo4k\",\"src\":\"serp\",\"rvb\":\"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-_QMA-_z_DwEI-wIEAAAC-P_-APoG__QCBP4A-QkGDQEBAAASC_wKBgAAAAEE-wP9_gEACQb7-QQAAAAM-wAAAQAAABj99wT-AQAAAfv8DwT_AAD_-wP_AAAAAOgH_AoAAP8AAv389gAAAAD0-wf8_wAAACAALeeY3Ds4E0AJSE5QAipzEAAaYNYTAEf_AvHVCzzb5dnYEvXFXtb_sQL_EeP_8xUBIeY1ycgwJf8suSHwoQAAACMB_v86AMt_-7OvLDsiB5Py8vcMfQMXthEQAPewwgUsSBId9DT-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-AABcPgAAUD0AADA9AABEvgAANL4AAFA9AAAUPgAAuL0AAMi9AACCvgAAdL4AAIa-AABMvgAAgLsAAII-AAAcvgAAgr4AANa-AACAOwAAgDsAADA9AAAUvgAAmL0AAOg9AACYPQAA6D0AAPi9AADovQAAET8AABC9AABQPQAAMD0AABA9AACYPQAAJD4AAJg9IAA4E0AJSHxQASqPAhABGoACAACuvgAA4DwAAOi9AAA5vwAAFL4AAPi9AADoPQAAiD0AAOg9AACoPQAAEL0AAKi9AABQPQAAML0AALg9AABwvQAAcD0AAOI-AABkvgAAqj4AADS-AAD4PQAAUL0AAMi9AADgPAAAMD0AABQ-AAAwPQAABL4AAFC9AABwPQAAXD4AABS-AADoPQAAUD0AAOi9AABkPgAABT8AAGy-AADYvQAAmD0AAJi9AAAMvgAAcD0AABC9AAB0vgAAf78AAHw-AABsvgAAuD0AAMg9AABQPQAAjj4AAI4-AACYvQAAmD0AABA9AAAsPgAAgDsAAEy-AAC4PQAAcL0AAOA8AACgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=L0Wpgm8Mo4k","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["11480099783540153062"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"18000672779221551864":{"videoId":"18000672779221551864","docid":"34-0-0-ZF637136E496E7F07","description":"#geometry #calculus #maths #physics #science...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4575701/1e30c86711c78f752d89a5ea8f92052f/564x318_1"},"target":"_self","position":"7","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKwvW_XspKP8","linkTemplate":"/video/preview/18000672779221551864?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"why summation of all the angles in a triangle equals 180 degrees?","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=KwvW_XspKP8\",\"src\":\"serp\",\"rvb\":\"EqwDChM3MzY0MDcwOTY5MDI1MDQ3NjIwChQxNTc4NTEzOTYxNDg3NjYzNTI3MAoUMTYwNjU5MjcxMjQxOTgwNTE5MTQKFDE0ODQyOTE5OTczOTc0MDkwMTQwChE0NzYwNDM5OTI5NDUzMjAyNwoUMTE0ODAwOTk3ODM1NDAxNTMwNjIKFDE4MDAwNjcyNzc5MjIxNTUxODY0ChM2NTA3MTY5NjM3NjI1MTcxNTM1ChM0OTMwMzY3OTA3NDA0NTk4Njk5ChQxNDE3Njg5Njg1ODI2NjExNzExMwoTNTc4MTY5MjY3MzkxMTgxNjM2NgoTMzc5MzkwNTEwNTUyNzU5MzI3NwoUMTIwNzU1NDgwNTcyNzU0MzY0NDcKEzI4ODgzNTUxMzM0OTMyNTQ3MDcKFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0ChM1NDk3MjQzODM5MDQ4MDM0MzE3ChQxMzM4Njc1NDIzNTk4MDA1MTQ3MQoSNjcxNzQ5NzE0NDIzNTcxMjMyChQxNzE4NTM1MDc2NjUxNzMxNTQyNwoUMTE0ODM4NjQ3NDAyNDAzOTQ4OTIaFgoUMTgwMDA2NzI3NzkyMjE1NTE4NjRaFDE4MDAwNjcyNzc5MjIxNTUxODY0aq4NEgEwGAAiRBowAAopaGhtanRsaHFzeW9rdXpiaGhVQ2wwRUVyTTBvcGlnUEpFbXBKT1Z1R0ESAgARKhDCDw8aDz8TjQGCBCQBgAQrKosBEAEaeIHtBPv3A_wA9_0J_fsE_wHyCe8F-P39AOwF_PcFAAAA9BUIA_8AAAAMEfzz_gAAAPX--wnz_wEADw_9_vcAAAANAQ0E9AAAAAz69wH_AQAA9ur0AwP_AAAT9w0NAAAAAAkLBO0AAAAA5wwDDAAAAAABAAn2_wAAACAALZzVxjs4E0AJSE5QAipzEAAaYBYJACAPA9DTKxTctOH8Fe3lGgfku9z_DOT_HhLvDCNZvJj3M_8UmRzYngAAAAP9CBoUAAd-AqstIjbR9uTr4zMSf_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_AACgwAAADMIAAFRCAAAgQQAAAMAAADRCAAAswgAAuMEAAIC_AAAUwgAAoMAAANBBAABwwgAAAAAAAJjBAAAcwgAAiEEAAETCAABgQQAAgMEAAGDBAACgwAAAEEEAAKjBAAAkQgAAgL8AAIzCAAAEwgAAgkIAAMjBAAA4QgAAKEIAAFBBAAAAwAAAFMIAADBBAABwQQAAGEIAANjBAAAQwQAADEIAAPjBAADgwAAAoMEAAPDBAAAgwgAAyMEAAIDBAADgQAAALEIAAMjBAACAwgAAUMEAALjBAAA0wgAAQEAAALDBAAAMwgAAqEEAAKDAAABAQgAAyEEAALDBAACQQQAAsEEAACjCAACcwgAAAAAAAFTCAACmwgAAeEIAAOBBAAA4wgAANMIAALBBAACqwgAAAMIAAAzCAADQQQAAvkIAABDBAABgwQAAGMIAALhBAAAwwQAAAEIAAEDAAACSQgAAIMEAAIRCAACcQgAAAEAAAIC_AACAQAAAAMIgADgTQAlIdVABKo8CEAAagAIAAOg9AACAOwAATD4AAEC8AAD4PQAAuD0AADy-AABHvwAAdL4AAFQ-AAAwPQAAuD0AAAS-AAC6PgAAFL4AABS-AABAPAAAMD0AALi9AADSPgAAfz8AAEA8AAAUPgAALD4AAHC9AAAwvQAAyD0AAIa-AADePgAA6D0AABC9AAAMvgAAqL0AAIg9AABMvgAADL4AADA9AACyvgAAkr4AAGS-AACOvgAAEL0AAEQ-AACIPQAAlr4AACy-AABwPQAATL4AAKA8AACevgAAQDwAAFQ-AADgPAAAhj4AANq-AAAwvQAALz8AAJi9AABAPAAAPD4AAOg9AAAMPgAAnj4AALq-IAA4E0AJSHxQASqPAhABGoACAAD4vQAAcL0AAGw-AAA9vwAA-L0AAAS-AACmPgAAHL4AAHA9AACgvAAAgDsAAHy-AADgPAAAFL4AACQ-AACAuwAAgj4AADE_AAAUPgAAzj4AAEC8AAAEvgAAyL0AAJi9AACAuwAAmL0AAAQ-AAAQPQAA6D0AAEw-AAAQvQAAND4AANi9AABMvgAA6D0AAAw-AABAPAAAFD4AADS-AABQPQAAVD4AAKA8AADgPAAAuD0AABy-AAA0PgAAf78AAES-AABEvgAAoDwAAKg9AADoPQAAUD0AAKC8AADgvAAAyD0AAIA7AAAUPgAAgLsAALi9AABcPgAA4LwAAHC9AACAOyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=KwvW_XspKP8","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["18000672779221551864"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6507169637625171535":{"videoId":"6507169637625171535","docid":"34-1-13-ZC62CA7FA9A7DB351","description":"Lim (x^3/5-1)/(x^5/3-1) Lim[ (1+x)^(1/7) -1]/x...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2834910/19299ef4b5aa558c921c7cbd9532d0d1/564x318_1"},"target":"_self","position":"8","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_WHq3UZ7vEg","linkTemplate":"/video/preview/6507169637625171535?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Solving limits Without L'Hopital. #calculus #limits #students #tutor #math","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_WHq3UZ7vEg\",\"src\":\"serp\",\"rvb\":\"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_E80HggQkAYAEKyqLARABGniB6vj8-wL-APj--QQOBf0BCwDuAfX__wDnAff7-P4BABAHEvsGAQAA6w7y-wAAAADvCvYJ9wABAP_6-fsDAAAAEQf-CfYAAAAED_sECwABAQH48QME_wAADfv0-f8AAAAA9vwS_wAAAPoC_AQAAAAABgMBAAAAAAAgAC2OTss7OBNACUhOUAIqcxAAGmD6HAAxIATP1fk5wQjfKAzk9wbh3MMVAB0FAO8N4OUHHq-zFAL_IMUU9bAAAAATAen1GADLZiHwth89_ebruuUkHX8nDc4TNNzhlcz_1CEJ-fvPDhcAtxwHBjbr1hz79R8gAC27qSg7OBNACUhvUAIqrwYQDBqgBgAAwEEAABjCAADYQgAAnMIAAARCAABQwQAAkkIAACBCAACQwQAA0EEAALjBAADAQAAAgEAAACBCAADgwQAAQEAAAGBCAAAMwgAA2EEAAFDBAAAEQgAAoMAAAKjCAAAIQgAA4MEAADDBAABMwgAAAEAAAHxCAAC4wQAA-MEAAGTCAAC6wgAAAMIAAKTCAAAYQgAAIMEAABBCAADAwQAAUMEAAFjCAACYQQAAGEIAAKDAAACSQgAASMIAAHhCAAD4QQAAcEEAAMDAAABUwgAAIMEAAKBAAABAQgAAIEEAANBBAACKwgAAQMEAAIRCAACQQgAAJEIAAMrCAAA8wgAATMIAAJhBAAAIwgAAAMIAAIC_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_AADAwQAAQMEAAFxCAAAkQgAAmsIAAAjCAACQwQAAmMIAAIZCAACYwQAAiMEAAFzCAADgQQAAUEEAAIBCAAAQwgAAuEEAAIDAAAAoQgAAgkIAAADBAACIwQAAAAAAAMDBIAA4E0AJSHVQASqPAhAAGoACAACYPQAA2L0AADw-AABsvgAAuD0AAJ4-AABAvAAACb8AABC9AAAEPgAAqL0AAGS-AAB8PgAAyD0AADy-AABQPQAAFD4AAKC8AAAEPgAA1j4AAH8_AACYvQAAcL0AAEQ-AAD4vQAAbL4AAFw-AABAvAAA4LwAAKg9AADYPQAAFL4AAIi9AACOvgAAmD0AADS-AACIPQAAQLwAAIq-AAAwvQAAsr4AAIY-AAAEPgAAgr4AAOA8AABkvgAAdD4AABy-AACAOwAAFL4AAEC8AAB0vgAAzj4AABw-AADIvQAAML0AACs_AAA8vgAAMD0AAIC7AAD4vQAAPD4AAOA8AAC4PSAAOBNACUh8UAEqjwIQARqAAgAAcL0AAAQ-AAAwvQAAIb8AACS-AABsPgAA2j4AADQ-AABAvAAAyD0AABw-AAC4vQAABL4AAKi9AADoPQAAoLwAAOC8AAAZPwAAlr4AAMo-AADgvAAAML0AABy-AAAMvgAAEL0AALi9AABkvgAAmD0AAEA8AADIvQAAED0AADA9AAAsvgAAUL0AAKY-AAC4vQAAdD4AAAw-AACSvgAAmL0AAOg9AACgvAAAUL0AAEA8AAAMvgAAcD0AAH-_AAA0PgAAuD0AAHC9AACgvAAAij4AAMg9AAA0PgAAHD4AANg9AABQvQAALL4AAEQ-AADgPAAAMD0AABA9AABcPgAA6D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_WHq3UZ7vEg","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["6507169637625171535"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4930367907404598699":{"videoId":"4930367907404598699","docid":"34-4-3-Z36A716553B21D753","description":"Welcome to our educational video where we dive into the fascinating world of trigonometry! Join us as we explore the proof of a fundamental formula in triangle analysis: a^2 = b^2 + c^2 - 2bc·cos...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4236601/7975f9efba5a46ad10da421dc620947f/564x318_1"},"target":"_self","position":"9","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQ3_AnUBnUF8","linkTemplate":"/video/preview/4930367907404598699?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Proving the Formula: Proof of a^2 = b^2 + c^2 - 2bc·cos(A) in a Triangle","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Q3_AnUBnUF8\",\"src\":\"serp\",\"rvb\":\"EqwDChM3MzY0MDcwOTY5MDI1MDQ3NjIwChQxNTc4NTEzOTYxNDg3NjYzNTI3MAoUMTYwNjU5MjcxMjQxOTgwNTE5MTQKFDE0ODQyOTE5OTczOTc0MDkwMTQwChE0NzYwNDM5OTI5NDUzMjAyNwoUMTE0ODAwOTk3ODM1NDAxNTMwNjIKFDE4MDAwNjcyNzc5MjIxNTUxODY0ChM2NTA3MTY5NjM3NjI1MTcxNTM1ChM0OTMwMzY3OTA3NDA0NTk4Njk5ChQxNDE3Njg5Njg1ODI2NjExNzExMwoTNTc4MTY5MjY3MzkxMTgxNjM2NgoTMzc5MzkwNTEwNTUyNzU5MzI3NwoUMTIwNzU1NDgwNTcyNzU0MzY0NDcKEzI4ODgzNTUxMzM0OTMyNTQ3MDcKFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0ChM1NDk3MjQzODM5MDQ4MDM0MzE3ChQxMzM4Njc1NDIzNTk4MDA1MTQ3MQoSNjcxNzQ5NzE0NDIzNTcxMjMyChQxNzE4NTM1MDc2NjUxNzMxNTQyNwoUMTE0ODM4NjQ3NDAyNDAzOTQ4OTIaFQoTNDkzMDM2NzkwNzQwNDU5ODY5OVoTNDkzMDM2NzkwNzQwNDU5ODY5OWquDRIBMBgAIkQaMAAKKWhobWp0bGhxc3lva3V6YmhoVUNsMEVFck0wb3BpZ1BKRW1wSk9WdUdBEgIAESoQwg8PGg8_E4wDggQkAYAEKyqLARABGniBAP3__v4DAO8DBgYAA_8B9QP8-Pn9_QD5_fIDBQT-APoFBwT5AQAABBIB_v8AAAAO_vEJ__4BAAAO9AkDAAAACAf_9_cAAAAOA_j-_gEAAPXy_wED_wAACfcKAgAAAAD8Av_uAAAAAAQE_AYAAAAACv0L9gAAAAAgAC1S99o7OBNACUhOUAIqcxAAGmANEgAoHQLu7Q4X6usA3AH65QcB2-vhAPPxAB8aEgwV_s_M8un_O7wK9cEAAAAS7gIsNQDyTwPl5CsGIfT_vNMKI38TCALg-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_AABMwgAAYMIAAADAAABIwgAAYEEAAABCAACAvwAA0EEAAJjCAAA0QgAAwMAAADxCAAA4wgAAIEEAABzCAACgQAAAoEEAAHDBAAAYQgAAgL8AAMBAAACAPwAA6MEAAKJCAAAoQgAA-MEAAExCAACAvwAAgMEAAIzCAACAwQAAgD8AACBBAADwwQAACMIAACxCAABwwgAAoMAAADzCAADYwQAAXEIAAHxCAAAAwAAASEIAADBBAABAwQAAMEEAALjBAAAwwQAALEIAAAhCAAAcwgAAcEIAAOhBAACAQAAAAEEAALBBAAAAwQAA4MAAAMjBAAAIQgAAgL8AAIRCAADAQAAAnMIAAHDBAABMwgAAGMIAACzCAABAQQAA-MEAAADAAACgQAAA0EEAAJrCAADYQQAA8EEAAPDBAADIwQAAiEEAAIBAAABcwgAAOMIAADhCAAAIwgAAQMIAAJBBAAAsQgAAisIAAADCAACAPwAAaMIAAKZCAAAcwgAATMIAANBBAAAEwgAAZEIAACBCAABwwQAALEIAAIjBAACCwgAApkIAAHjCAACAvwAAYEEAACDBIAA4E0AJSHVQASqPAhAAGoACAACoPQAA2L0AAPg9AABUvgAAqD0AAJo-AABMPgAAM78AAPi9AABcPgAAcL0AACS-AABkvgAABz8AANi9AABcvgAAjj4AAIC7AACCPgAAsj4AAH8_AAD4vQAAHD4AADQ-AACyvgAAfD4AAFA9AABsvgAAij4AAJI-AADIPQAAgr4AAJg9AADIvQAA4LwAAEy-AADovQAAML0AAKK-AADgvAAAcD0AAHA9AABsPgAABL4AAPi9AAAQvQAAbD4AABS-AAC4PQAAML0AABQ-AACYPQAAmj4AABA9AAAQvQAAQDwAACs_AAAwvQAAJL4AAHw-AAAwvQAA4DwAAEQ-AACgvCAAOBNACUh8UAEqjwIQARqAAgAAJL4AAJi9AAAQvQAAQb8AAFC9AACYvQAADD4AADC9AACIvQAAND4AAOC8AADIvQAAPL4AAJi9AACYvQAAgDsAAJg9AAARPwAA6D0AAL4-AADYPQAAuD0AACS-AAC4vQAAML0AANg9AAD4PQAAED0AANi9AACiPgAAqD0AAEQ-AABEvgAAiL0AANi9AADIvQAAnj4AAHQ-AADCvgAABL4AABQ-AABQPQAA4DwAACQ-AAAMPgAAmD0AAH-_AABwvQAAgLsAAIg9AADIPQAAED0AAIg9AABAPAAAyD0AAMg9AAAQPQAAcD0AALg9AAAQPQAAbD4AAIA7AAAcvgAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Q3_AnUBnUF8","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["4930367907404598699"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14176896858266117113":{"videoId":"14176896858266117113","docid":"34-8-1-ZD9CB103B8DD3D556","description":"#calculus #maths #science #mathstricks #cardano #cube...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3796531/4c0bfa5282b40f61ae6238a9777abd3b/564x318_1"},"target":"_self","position":"10","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqUH87zELwcY","linkTemplate":"/video/preview/14176896858266117113?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Who came up with complex numbers, and why?","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qUH87zELwcY\",\"src\":\"serp\",\"rvb\":\"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_oX_PwAAQD3DwD59_38APABBwsEAv8A_w0EAAABAAD-FgkMBgAAAP_r8wr9_QAA9QcD-gQAAAAO9f7sAAAAAPwUAhL-AQAA9ejyAwP_AAAh7vcE_wAAAAYG-vT-_wABDAz7DgAAAAADDgQEAAAAACAALSI3tjs4E0AJSE5QAipzEAAaYBoRAD0j_vbK3y_Oxwz59gYb5hcIxAn_Fxb_IfvH_AM2w5HtE__80xTkpwAAAAP98Dv9ANl2Afm5TRoA4JLu0Bswf88G6wL0_eut0AkYGwMM9hEEMQCjCdcTCggMYeT5KyAALZkeHzs4E0AJSG9QAiqvBhAMGqAGAAAsQgAAUEEAAFxCAABowgAAuMEAAJBBAACWQgAA6MEAALjBAADwwQAAEEEAAJjBAADAwAAA8EEAAJBBAACQwQAAUEIAAIDAAACgQQAAYEEAAIA_AABcwgAAsMEAAPhBAABYwgAAuMEAANDBAACQQgAAGMIAABBCAABwwgAAQMEAANDBAACgQQAAjMIAAAAAAAAAQgAAYEIAAADAAAAEQgAAgEAAAABAAAAIQgAAAMEAAIC_AAAYwgAABEIAAHhCAABYQgAArkIAAKBAAACAwAAAiMEAAIpCAADoQQAAgMAAAIDCAABwQQAAFEIAAIRCAACAPwAAgMEAAFjCAACwwQAAUMEAANLCAABUwgAAcMEAADDBAACgwAAAIEEAAExCAADAwAAAhkIAABDCAAAcwgAAvsIAALDBAAAAQQAAIEIAAEDBAADCQgAA-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-AAAkvgAADD4AAJg9AAAsvgAAUD0AAJi9AADSvgAAUD0AAEA8AACgPAAAgr4AAIC7AACWPgAA4LwAACQ-AADoPQAAoDwAAKC8AAB0PgAAfz8AACS-AAAsvgAAij4AAPi9AABwPQAAEL0AAOA8AABUPgAA2D0AAEA8AAAQvQAARL4AALi9AACKPgAAqD0AAMg9AABMvgAAlr4AAFS-AABUvgAA-L0AAGw-AAAwPQAAXL4AAGS-AAA0PgAAUD0AALg9AACYvQAAcD0AAIC7AABMPgAAqj4AAKq-AABwPQAADT8AAOg9AABkPgAAkj4AABC9AACAuwAAZD4AAHC9IAA4E0AJSHxQASqPAhABGoACAACAuwAAmr4AAKg9AAALvwAABD4AAEA8AAAQvQAA-D0AAHA9AABMvgAAML0AAHC9AACaPgAADL4AAHw-AABAPAAA-D0AADs_AADIPQAATD4AAMi9AACYvQAAgj4AABC9AAAUPgAAUD0AAIA7AABAPAAAPD4AAFC9AACIvQAARD4AAMi9AAAcPgAATD4AAFC9AACGPgAAHD4AACy-AADIvQAAvj4AADC9AACIvQAAED0AABC9AABEvgAAf78AAOA8AACAuwAAMD0AAKC8AAC4vQAAPL4AACw-AADgvAAAHD4AAEA8AAAUvgAAqL0AAKg9AABUPgAAir4AAK6-AADovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=qUH87zELwcY","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["14176896858266117113"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"5781692673911816366":{"videoId":"5781692673911816366","docid":"34-4-14-Z7353D2A279E33906","description":"#geometry #calculus #math #fractal...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4199812/e6dec5bf6ea7b86ee2ea4ad3d7fc5cb0/564x318_1"},"target":"_self","position":"12","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWxLL_oB5-cE","linkTemplate":"/video/preview/5781692673911816366?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Why is the dimension of snow flake fractal 1.30? (fractals=inter-dimensional shapes)","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WxLL_oB5-cE\",\"src\":\"serp\",\"rvb\":\"EqwDChM3MzY0MDcwOTY5MDI1MDQ3NjIwChQxNTc4NTEzOTYxNDg3NjYzNTI3MAoUMTYwNjU5MjcxMjQxOTgwNTE5MTQKFDE0ODQyOTE5OTczOTc0MDkwMTQwChE0NzYwNDM5OTI5NDUzMjAyNwoUMTE0ODAwOTk3ODM1NDAxNTMwNjIKFDE4MDAwNjcyNzc5MjIxNTUxODY0ChM2NTA3MTY5NjM3NjI1MTcxNTM1ChM0OTMwMzY3OTA3NDA0NTk4Njk5ChQxNDE3Njg5Njg1ODI2NjExNzExMwoTNTc4MTY5MjY3MzkxMTgxNjM2NgoTMzc5MzkwNTEwNTUyNzU5MzI3NwoUMTIwNzU1NDgwNTcyNzU0MzY0NDcKEzI4ODgzNTUxMzM0OTMyNTQ3MDcKFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0ChM1NDk3MjQzODM5MDQ4MDM0MzE3ChQxMzM4Njc1NDIzNTk4MDA1MTQ3MQoSNjcxNzQ5NzE0NDIzNTcxMjMyChQxNzE4NTM1MDc2NjUxNzMxNTQyNwoUMTE0ODM4NjQ3NDAyNDAzOTQ4OTIaFQoTNTc4MTY5MjY3MzkxMTgxNjM2NloTNTc4MTY5MjY3MzkxMTgxNjM2NmquDRIBMBgAIkQaMAAKKWhobWp0bGhxc3lva3V6YmhoVUNsMEVFck0wb3BpZ1BKRW1wSk9WdUdBEgIAESoQwg8PGg8_E8ADggQkAYAEKyqLARABGniB6gUC-v4CAPD_BP7_AgAB-voE8vr9_AD2B_v-_wL_AAQJBQD4AQAA-gPyCAcAAAD4Bfr-9P8BABUE9AD1AAAACfP3C_oAAAAO-_ML_wEAAPb_9AID_wAADf0EAP8AAADr__8D_QD_APv7AgMAAAAAFP_3DQAAAAAgAC26iNU7OBNACUhOUAIqcxAAGmAPAgAnGACxuiMf2t2x7h_dzSUBvNLY_wTV_8MO6MfvEbPA7xP_FuYjB6QAAAD4GB0R3gDUeOLP0iMpw_sCtc0m7H8M9sLk-PnmxNYO5CQA9PoZDmEAstn6CtXY9DL7dhggAC0NhRg7OBNACUhvUAIqrwYQDBqgBgAAwEAAAExCAACqQgAAOMIAACDBAADQQQAAEMIAAJhBAABcwgAAQMEAAEBBAAB4QgAAIMEAAPDBAABQwQAAMEEAAIBBAAAswgAAAEIAAAjCAACCQgAAKEIAAJxCAACAQQAADEIAAAAAAACWwgAAUEEAAKBBAABAQAAAEEEAAHRCAACYQQAAFMIAACTCAACWQgAAEMEAAHRCAAAAwQAAqMEAAADCAAAgQQAA6EEAAIhBAACIwQAAgEEAAFhCAACgwQAAZEIAAGTCAACQwQAAXEIAABTCAAAkwgAAbEIAAJpCAACgwgAAcMIAADhCAABYQgAA2EEAACjCAABAwQAACMIAADDBAACAwgAA2MEAAKDBAAAowgAAgMAAAIDBAAC4QQAA6MEAAHDBAAAAQQAAiMEAANDBAADIwQAAkMEAAIDAAABEwgAA6EEAABzCAABowgAAwEEAAFBCAABgQgAAAMIAACBCAAAkwgAAUEEAADhCAACQwQAAgsIAACzCAADAwQAA4EAAABRCAAC4wQAAVEIAAAjCAADoQQAAmMEAABDBAACgwgAAqMEAAKTCAABwQQAA4MEAAETCAACQwQAAEMEAAKbCAABgwQAAiEEAAATCAAD4QQAAhsIAACxCAADAwQAAUEEAAFTCAACIwQAAQEEAAMBAAACYwQAAmMEAAKBBAAAwwgAAMMIAAIRCAABIwgAA-MEAAIA_AACAQAAAgEAAAHRCAACgQAAAeEIAACzCAAD4QQAAyEIAAHDBAABgwgAAQEAAAIDAAADoQQAALEIAABDCAACIQgAAwEEAAFzCAAAAQAAA4EEAAFxCAABAwQAABMIAAKDBAABgwQAA-EEAAOBBAACAvwAAFMIAABTCAAAwQQAAgD8AACDBAADWQgAAQMAAAABCAABIQgAAEEEAACDCAACAwQAAWMIAAIxCAADIQQAAREIAACBCAAA4QgAAnMIAAFDCAADowQAAJEIAAERCAABAwQAAiMEAAEDAAACwQQAAyMEAABDCAACowQAAgkIAAEBBAADowQAAnkIAADDBAADAwAAAoEAAAADBIAA4E0AJSHVQASqPAhAAGoACAADYvQAAyD0AALg9AABAPAAAuL0AAKC8AAA8vgAA3r4AANi9AAC4PQAAmD0AADC9AAAQvQAAuD0AABy-AABwvQAAED0AAKC8AADYPQAAkj4AAH8_AAC4vQAAQLwAAOg9AACAOwAAoLwAAIi9AAAQPQAAND4AADA9AAAQvQAAUD0AABS-AACovQAAmD0AAIA7AADIPQAAhr4AAES-AACKvgAAsr4AAHA9AACePgAAgDsAAJi9AAAcvgAAcD0AAIC7AAAwvQAAoLwAAIC7AABwPQAADD4AAGw-AACKvgAAEL0AAN4-AADgPAAABD4AAIA7AAAMPgAA-D0AACQ-AAC4vSAAOBNACUh8UAEqjwIQARqAAgAALL4AAMg9AAD4PQAAYb8AAOi9AABwvQAABD4AABQ-AADYvQAAyD0AADQ-AADYvQAAED0AAAy-AAAkPgAAiL0AAOC8AAApPwAAPD4AAJ4-AADYvQAA4LwAAAQ-AAB0vgAA-L0AAEy-AAD4PQAAED0AAOA8AABAPAAAgDsAAKA8AABAvAAATL4AAFA9AADIvQAAFL4AAIY-AAAcvgAAVD4AAOA8AABUvgAAiL0AAOg9AAAcvgAA-D0AAH-_AAC4vQAAgLsAAIo-AAAEPgAAmD0AAGQ-AACgPAAAqD0AAIC7AAAQvQAA6D0AAAw-AACivgAAHD4AAAQ-AADgvAAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=WxLL_oB5-cE","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["5781692673911816366"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3793905105527593277":{"videoId":"3793905105527593277","docid":"34-6-17-Z0FA07EA8691B8BB4","description":"🏛️ Boğaziçi Üniversitesi Mat101 Güz Dönemi 2022 1. Vize | Soru 1 Çözümü | Calculus ⏱️ Video İçeriği 00:00 — Mat101 Güz Dönemi 2022 1. Vize 1. Soru Çözümü 📘 Bu Videoda Neler Var?","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3148242/aaf1713cad1574f4e25725bfd4a8f95d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IpbROgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKUGKsvHTfCU","linkTemplate":"/video/preview/3793905105527593277?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Boğaziçi Üniversitesi Mat101 Güz Dönemi 2022 Ara Sınavı | Soru 1 Çözümü | Calculus","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=KUGKsvHTfCU\",\"src\":\"serp\",\"rvb\":\"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_kAAADz7_wJAAX-Afr8BP35_f0A7_j9Bv8BAADp8_z8_P8AAPkQ_f77AAAA-wMEBPX-AQAaBe_-AwAAAAPy_vX5AAAA9w_vAf8BAAD4Cv78AwAAABwRA_3_AAAACQ79BQEBAAAFDfkDAQAAAO3x_gkAAAAAIAAtp-LTOzgTQAlITlACKoQCEAAa8AF_DQQCtAvt_Rvw5AH6BfcBtwj_AAQEEQDCEgEBxvjSAPIGBAC--93-8Q4MABP5D_8j8gv_Cu3_AB3e8_8HBgEA4A4RAUvr6QAs8gcA_Pz__9n-CQD55fD_9AIYAxns5v_hBBEACuvjABjf3QAk8Qr9DecQA_sBBQHu8v4C7TP0_vjd8wHLCv4D5_kI_9DmAfy-9vr--xLu_90U4AD63fX_JvEFAA4F9wUFFPkG7u74BO_g8_rs-QUC-A8PBt_49vfr8xT6CvIE_BTuCAEqJAcG1_AH_PT1CwYTDggLC9MJA_kB8wwBDAD62Rf5C_ke_wMgAC11kzc7OBNACUhhUAIqzwcQABrABy_9674KYgU93dT-O2tyJz25kS09kjk7PJ61W70PX2s9R_r-PMzSTj3o6Cc8k-V_vOwzx736crA8iL0wvcVVhT5UMG-9m38qvIbjCb7fIPU8rAEqvadZgL7i0uI4B5ovvcE6Pj6JrhA95StBvTAO7jwvGQe8mLZJPDG5LLy0lyi9opknvAHfnb6Ygrk6pQrrvG4wuTzZBUi9aqHHO8a-qT1PKlA8SRwLPJjtkrvYiDu88HZzvAIwWT05-UO9JBg9vQGFOj4b_3S8-O3Wu5uNWr3Dd6y8swhFPA9CxLpqfuM6XIpQvFLbIbz9qre8JFKquy0dWD2Zcck8R3_cO635Ab5UpZI8IdHfOzWGr7xuYIw96UguPIPPhbzrnzE90aGdOyMQLz1Z0ZA9EyhivFbrqTxocWs8MOcCvPyrFz5jbBc9VAtbPHIT97ssuYo8czLMPNpZFL2mLvS8sIO1O72cY73ZiLG8gVAoPKgUsL0mYya9SXsLvK-m_DwgxN-6mBZ1PJGLkD2K0e-6VSvZOqQahj1hfEe9rqeMu-sB8zx9dXq8oIPTu9ZIPL1MVTU9SV8MO3ahfj2iCdQ80hIgOt202b1Zq1G8E5UyvJw0DT7H3oM6OCnUOn5ep7zBt1-9KWiHO5ELDj0h07U8zpwBvOnsyTxMGM09X-iauXzAl7xav1S9L-PgO-Zf5DqBTEG9MkGJu-s3Mz0xZ1E9xnH5OjauvzwLwpu9wz3GuBV4Aj1_LYS93S5qu4lWkzuwhaq8igGWu5uiDT0waBw9IHe2OriFeD3o68O8KzanOEuZLzx4XIk9_hdVuITgpz0BaDm8B9Rsud0qo7xXPcC9kQYeOU3HkjzEWIu895CpueuVzbzMyGo9J_nwOW0-Sb1i9Ey-6u6sOe1Aor2ze3K7Tnf3uHWouz2T8oS9W09fOaRSyzr0PX48pS13uK6qTT3Yw1s648-KOXUB7zzW9bU9PRDxuGuYxjzzPPi8onxOuL8viTyfLOu83r8FNyO9iL3YWT497IqwOKJEa70kuXy8_XYmuM2ZKD38HF-9XYCvNsf9Xb3zTm-9uSHztrSQEL7YjKI9mXsEtxbVhzxeCIM7c0yUOF6-ULw4veo7SlaxuMfO47uyzrK9ijp8tzvanT1ZUUO9cZXTuLhdk73Pq5C92nVEuH0M8TwRc4S9Tb6VN_t5LjyD_4g9mMmgNVZmhT1bbMk8ZGiAuIqWVz0QWPk9jRdAOKVPK71mhg09DqvnuG_I9by9s2w9vzc2OOXBLD0UpY68bBkKtyAAOBNACUhtUAEqcxAAGmA13QAqCAMC29vz9AbuLAPmuu703rwQ_xIFAMJI294dNNvPAzv_TxXY2p8AAAAH6vIEFQDsf68Jx_7xKO_KvesM_H8FOBeR1SHXt8b0GO_0IgrkBgoA2eKKATSsrTkpOPcgAC3qzRM7OBNACUhvUAIqrwYQDBqgBgAAwEAAAMhBAADAQQAAoMEAAPBBAADIwQAABEIAAKhBAABgQQAAwEEAAAxCAABUwgAA4MEAACDCAAAwQgAAAMAAAIDAAAAwwQAA4MAAAEBBAACsQgAA8MEAAIA_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-EEAAARCAADgwQAAcMIAALrCAABgwQAAJEIAAKBAAACAwAAAiEEAADBBAADKwgAAwEAAAMBAAAAgwQAAoMEAAKDAAAAsQgAAgMEAABjCAADgwAAAEMEAAK7CAABQwgAAHEIAAGTCAACgwAAACMIAAIA_AADAQAAA0EEAACBBAAAsQgAAQEEAAKjBAACowQAAVEIAACTCAAAQQQAABMIAAMDAAABgwQAAAMIAALxCAAAAQQAAkMEAACDCAAAAQAAAJEIAAEBCAADYwQAAUMIAABBBAADgQAAA4EEAADDBAAAswgAAAEIAAOBAAABMQgAAdEIAAGTCAACAwQAAHMIAAEBAIAA4E0AJSHVQASqPAhAAGoACAABAPAAAEL0AAEQ-AACYPQAAUL0AAKA8AAAsvgAAxr4AADC9AAC4PQAA2L0AABS-AACKPgAARD4AAHS-AABcvgAAFD4AAIC7AAC4PQAA2j4AAH8_AADoPQAAUD0AAFC9AAC4PQAAcL0AAKg9AAAwPQAAgLsAAIg9AABAPAAAML0AACQ-AADoPQAA6L0AAGS-AACAuwAAUL0AABS-AAAkvgAAED0AAHC9AACqPgAAhr4AAKi9AACAuwAAuD0AADC9AABUvgAALL4AADA9AAAMPgAAij4AABA9AABUvgAAiL0AAB8_AABwvQAAQDwAAKg9AAAUvgAA4DwAAEC8AADYvSAAOBNACUh8UAEqjwIQARqAAgAAyL0AAGw-AAAwPQAAGb8AAOC8AACYPQAAND4AAPg9AAB0vgAAoj4AAIA7AABkvgAAyL0AAIa-AACYvQAAQDwAAAQ-AAAXPwAAoDwAAOg9AADgvAAAHD4AAOi9AACAOwAAEL0AACw-AABQvQAAgLsAAOC8AAAQvQAAgLsAAKA8AABwvQAADL4AAIq-AAAwvQAAcD0AAMi9AABUvgAAHL4AALi9AADoPQAAgDsAAEA8AAAQPQAA4DwAAH-_AACYPQAA6D0AACQ-AABcPgAAQLwAAEC8AABQPQAAyD0AAIA7AADgPAAAqD0AALi9AACoPQAAoLwAAES-AAAwPQAAQDwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=KUGKsvHTfCU","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3793905105527593277"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3672613230"},"12075548057275436447":{"videoId":"12075548057275436447","docid":"34-5-5-Z513BE28EBA4D13E7","description":"LIKE if you enjoyed, thanks! Don't miss any videos, subscribe! - 💀 http://bit.ly/subBlazeLH 💀 My Twitter: / blazelh Twitch: / blazelh Tara: / taradawnbreaker Death Walkthrough Full Playlist...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3046333/b2bee0590049b7a261f5dfc93911ece4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ezwJIAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DHREgVm_0nds","linkTemplate":"/video/preview/12075548057275436447?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Christmas WITH Malistaire - Wizard101 Death Walkthrough Ep 35","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=HREgVm_0nds\",\"src\":\"serp\",\"rvb\":\"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_E6cNggQkAYAEKyqLARABGniBDe39Awj3AOrwDAELAv8A9BXy_Pf9_ADyCvML-wL_AA4I9AsFAAAA9fwF_PcAAAAP_fb0__4CAAUB9P4EAAAACPgH-PMAAAAJAAXu_gEAAPT_8gIE_wAACAMG9_8AAADx8gYSAAEAAPUH_gsAAAAA_PH5BAAAAAAgAC0tNb87OBNACUhOUAIqhAIQABrwAXgMAP39FyMDqfomAIEJ0__V2wD_PvkvABkMLgIr8xsANA7fANnE6f8JHjD_5QIK_yI0I_7e9wwATCn6_9njKAFO8BsACCsrAO3gAQAr9ccDBfAT_ToiCQDC8fsBuPvf_bERvgI0CQ3-2EwUAwrT8gHfAOQFFqMNAgPt_A7t39IB9MztAtn3CwbGJgv_5vS9_Q3G_P768u0DD-sXBsL_BQEEDRT68RbQ_vnM9AXN8NgIMwQHAlAbAAAz1SQD6gACFc0vAQrvIwML2PIO7VgqDfqwNgIJDOAQBgAlGvtJ5-75DiYDCQMCDwEc7voF7F4ECiAALX9H9Do4E0AJSGFQAirPBxAAGsAHDqOAvlojrL36omm6VaXNvdSW3zyVOEA7m-egvlAZ4jvqYi68UbuvPZ7OOrwIoji8BFQ4vpahorsESL68J2_LPZfQk7ybW7y851MHPmepBr1MYpq83vo6PZzmtrstchM8lZnHvaLZEL1Bmxw8wsmMPS9SQ718Gbs8B7C9PRhOqL3B3NW7UZZrvIF0pr2bc9M7jnkdPhyF2jyqHES9j0T5PF-mnL2iuAC8bOkxPnhbL7u0D8c7FvwGPmT2Qzxp9DS8KFZ3vdYyPjxZiwo9VkWAPh7ulL3_1FO6-WHJPeoENDyIuSS8s_wqPRpROr1naNU7T6wDvskoBb16YBW7dLfrPFrFkb0FByy7XMsUvrEkqzqha7o8EtkHPZJo-Ly_8pw6OkXCvWI-aj2aL-U7P-bDPNOk1D1tpme8zsy3vegnA7vArVy7BSotPEZBED3d81c8_LIKPXLIALxBU8S7RdTpPKjR2rycYKy794IlPW12X70jf1W7iJWbPN5goLuWfVM7fksqvf0-LTzboBs8RuJPvRNSbTyouFw7Om9oPTc7rTxh9pe8_QnIvV1rH75wjks6fLcZPcbg4T0_9sQ6VQlgPNchbTz0v-A71a80PUFQybyVfgS8vakovXlRpT1QunK6_GVBvIXs2buHQjq8gqjLPfprqLwCfxe8KMyVvYD5ILzLQ647m36_PRR3_Dz0iCs6sFgjvQUiujzMf-U6e7m0PNXfXDyNon-7Qv3IPX6FljyWhtC7qDa4vJB7tD0c0v64jzfZPZ1pbbrhBgm5wJCbOjwUhT035rQ4lInbvQndmj3vveg4OUGwPR428b2SEu04yMqUPHlThj2VBK44G_IvvoOHKb1uRpO5bsXZPArkyLzf5QI61lIAPg5vMTz8NoK5yYsRPfgtxLzWF4i5oaQbvZCjd7tYH6K3xvIzPYncIj0Xfva34J-CPXgNGr2qRwe5pG_SPc-J2DyOews5EtOfPWhQ_rypmho5K6YCvkIKDj5Lq3a5Kq0_vhowSL3BNoc5e5KqPC-CSz1hDe-4ijzpvWdgFD4MHuO4r81Gvdq4VD0y7aw4V3uYPAfqNL1deG048fwavD_5oDwKXpU47EqwPYzW0T1mp5Q4Cii5PP7dkT3Sr2U3FU4XPQEj3Ls5Q5m4l6ufPGNlz7yJytY3i0g-vZf7Cb0Y3sW4axOCvO2KDz1X0t23kunQvVEZWj3b6bO1iF4rvfdNKzzCeym4l7sDvNLTwT1Rasm4XCivvd4SKr38ImM3QnZ-PQyeGL0jO963IAA4E0AJSG1QASpzEAAaYAj6AE4C4vAQPzwIBQX_KjbpKPIK1_n_-pv_wvjTuBLuF8AU4v8Coz0JngAAACwT8AvQAMp4FiqaHuba668Z3eTwf0DjnvATBB3gHOEp6zQ01hspVwDfxd_95-0s--L3DCAALfR2Fjs4E0AJSG9QAiqvBhAMGqAGAACwwQAAYEEAAIBBAAAwwQAAyEEAAOBAAAAQwgAAiEEAABjCAAAQwgAAdEIAAARCAACowQAAoEAAANhBAACYQgAAlkIAABxCAACSQgAAAEIAAODAAACQQgAASMIAAARCAAAgQQAANEIAAILCAACgwQAAiEEAANDBAADAwQAAqMEAAIA_AAAAQQAAHEIAAJjBAAB8QgAAHEIAADBCAABAQQAAcMEAABDBAAA8QgAAgL8AACjCAACWQgAAPMIAALRCAACAwQAAAEEAAOBAAACAQAAAgMEAAIbCAAA4wgAAsEEAAIC_AACAQAAACMIAABDBAADAQAAAwEEAAEhCAABMwgAAcEEAAEDBAACwwQAAAEEAAHBCAABswgAAYEEAAEDBAAAQwgAAwEAAACDCAACAvwAAYEEAAI5CAADIQQAAuEEAALjBAABMQgAAQMEAAPjBAACAQQAAQEIAAIjBAABcwgAAmMEAAHRCAAAIQgAAQEAAABhCAAAAwgAAqMEAAKjBAACQwQAAmMEAAKBBAACGwgAAgMEAAEhCAAC4wQAAoMAAAADCAACQwQAAsMEAABhCAAAQwgAArkIAAFzCAAAcwgAAYMEAADBCAAAcQgAApMIAAADCAACEwgAATMIAAJhBAAAwQgAAuMEAADxCAAC4QQAAAEEAANjBAACowQAA4MEAAFBBAAB8wgAAwEAAADBBAADoQQAAEEEAABBCAABgwQAAQMEAAETCAABMwgAAmMIAAL5CAADowQAA4MEAAKhBAACwQQAA_kIAAHDBAACIQQAAXMIAAHBCAABQwQAAMEEAAExCAABUQgAAvkIAAGDBAAA0QgAAKMIAAIA_AACiwgAAAEEAAJhBAABUwgAA8EEAAKDBAACEwgAA-EEAACRCAAAwwQAADEIAAOBAAADQQQAAAMIAAJDCAACgwAAAQMAAAGhCAACIwgAA6MEAAIA_AABAwAAAoMIAALDBAACIQQAAMEEAAABAAADAQQAAXEIAAEDBAAA8QgAAjMIAALjBAAB0QgAAmsIAAPDBAACAQAAAgkIAAIDBAACqwgAA2EEgADgTQAlIdVABKo8CEAAagAIAAIq-AACYPQAA6D0AADQ-AABQPQAAzj4AAHC9AAAHvwAAkr4AALg9AADgPAAAuD0AAI4-AADIvQAA2D0AAFy-AACiPgAAcL0AAN4-AAA0PgAAfz8AABw-AACSPgAApj4AAKA8AABQvQAAHL4AADA9AABUPgAAUD0AADQ-AACYvQAAQDwAADS-AACoPQAAiD0AANi9AACgvAAAzr4AAJK-AABwvQAAzj4AAKo-AACAOwAABD4AANg9AADYPQAAcL0AAGw-AACYvQAAgDsAAJa-AAAwPQAABD4AAMi9AACoPQAADT8AAIY-AACSvgAAgLsAAAw-AACAuwAALD4AAIa-IAA4E0AJSHxQASqPAhABGoACAADOvgAAPL4AAFQ-AAA1vwAAiD0AADQ-AACAuwAAmL0AAOA8AABAvAAA4DwAAIC7AACiPgAAoDwAAGw-AABQPQAApj4AAGU_AACKPgAA5j4AAIi9AACgvAAAZD4AABy-AAAkPgAAcL0AAII-AAD4PQAAyD0AAOA8AAAwPQAAMD0AADA9AABAPAAAGT8AADC9AAAwPQAAuD0AAGy-AAAwvQAALD4AAOC8AABAvAAAoLwAAGS-AAB0vgAAf78AABA9AAB8vgAAbD4AALg9AABAPAAAir4AANI-AABAvAAAHD4AADC9AAAkPgAAcD0AAAS-AAB0PgAARL4AAEQ-AACgvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=HREgVm_0nds","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["12075548057275436447"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"929304870"},"2888355133493254707":{"videoId":"2888355133493254707","docid":"34-2-15-Z3C30C42152F029BC","description":"Wizard101: Antiquity Farming Guide | New Mirage Reagent: Antique Coins, Chest, Egg, Statue, Fulgurite, etc. We show you were to get the new reagents from...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4259519/429855b828710214568d78851428fdf4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/DTKBRAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRexoRdVI7GA","linkTemplate":"/video/preview/2888355133493254707?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Wizard101: Antiquity Farming Guide | Mirage Reagents: Antique Coins, Chest, Egg, Statue, Fulgurite","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RexoRdVI7GA\",\"src\":\"serp\",\"rvb\":\"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-AvQAAADsDgD6BQAAAAwKB__2AQEA8wn0CvsB_wAF__rr_AAAAAQCCQUCAAAAAQX7A_3-AQAYAQP_-gAAABMABQT8AAAABRUA-v4BAAD1Bu74AgAAAAEB9QQAAAAA9vwT_P8AAAD8_wYG9fwAAO719_UA_wAAIAAtRzTTOzgTQAlITlACKnMQABpgCA4AKwr18tMNKtnz7PEEE-Tu5hvfBf8Dsf_o8uO38MoNmPMM_wT-HgWwAAAACADmPqkA4WH__LD9FhPl6ebOLwd_2B3UGMcPGxkD8-gFC_PhEtI3ALIY7fguFhsy9vwpIAAtlVwyOzgTQAlIb1ACKq8GEAwaoAYAABzCAAAYQgAAgD8AAEhCAABIwgAA6MEAABhCAABQwgAA4MEAAPBBAADAQAAAAMEAAJBBAAAAQgAAdEIAAMjBAADIQQAAqMEAAJjBAABQQQAAsMEAAMDAAADAwAAAsEEAAIRCAAAAAAAAnsIAAKDAAACKQgAAQEAAADzCAADgQAAAkMEAAFRCAACgQQAAEEIAAERCAABsQgAAYEEAAHBCAABYQgAAWMIAAADBAAAswgAAUMEAANBBAAAQwQAAQEEAAPDBAAAUQgAAAMAAAJjBAAAwwgAAcEEAAADCAACIQgAAUMEAAATCAABQQgAAiMEAAPhBAACowQAA2EEAACDCAACAwAAAwEEAAIBAAACQQQAAoMAAAMjBAACYQgAAkEIAADzCAAAQQgAAoMEAAGjCAAA4wgAABMIAAMhBAAD4QQAAsMIAAHBCAADIwQAAUEIAANjBAABEQgAAEEIAAPBBAAAAwgAAAAAAALjBAADoQQAAKMIAAHDBAAAAQQAAwMEAACBBAABMQgAA2EEAAADBAABAQAAAuMEAAJBCAAAAwgAAFMIAAMDBAABAwAAAIMEAADDCAAAEwgAAmEEAAIBAAADCwgAAAEIAAKBCAADwwQAAEMIAAADDAADwQQAAKMIAAIDAAACQwQAAGEIAAGTCAABwQQAALEIAABRCAAAMwgAAJMIAAGDCAACowQAAiEEAAMjBAABkQgAAUEEAALxCAAAQwgAA1sIAADjCAABgwgAAkEIAAKBAAADwwQAAaEIAAPBBAADgQAAAJMIAACBBAAAcQgAAoMEAANjBAAB8QgAAsEEAAGzCAAAgQQAAcEIAAIA_AACswgAAEMEAACRCAACAwgAA0EEAAHjCAABwwQAAoMEAAMBBAAAUQgAAwEEAAFBBAADAQQAAmEEAAABAAABAQQAAbMIAAEBAAABQQQAAXMIAAJ7CAAAAAAAAQEEAAIjBAAAIwgAAwMAAABDCAAD4QQAAkEEAAM7CAACgQQAAHMIAAPhBAABAwAAAqMEAABRCAAAgQQAAkEIAAFxCAAAgQQAAoMAAABjCAADwQSAAOBNACUh1UAEqjwIQABqAAgAABD4AAIi9AAAkPgAAoDwAAAw-AADGPgAAHD4AAA2_AACGvgAA-D0AABS-AAC4vQAA-D0AAEA8AACWvgAAPL4AADw-AAAQPQAA-D0AAAM_AAB_PwAATD4AADQ-AACgPAAA6D0AAPg9AADYPQAAND4AADw-AAAsPgAAJD4AAPi9AACAOwAAQDwAANi9AABAvAAAcD0AAKi9AADGvgAAZL4AAAS-AAB8PgAABD4AAIa-AABwvQAAHD4AABA9AADYvQAAcD0AALi9AAAwPQAA-D0AAFw-AAB0PgAAuL0AALi9AAAdPwAA2L0AABC9AAAkPgAA-L0AAEC8AADoPQAA6L0gADgTQAlIfFABKo8CEAEagAIAAL6-AADgPAAADD4AAFm_AABQPQAAyD0AADw-AADYvQAAgDsAANg9AABwPQAAoLwAADC9AAAUvgAAQDwAADA9AABQvQAAUT8AAIC7AACqPgAA2L0AAGy-AACYPQAAJL4AALi9AADoPQAADL4AAPg9AACgvAAAEL0AAOA8AAAwPQAAQLwAAJi9AACyPgAAiL0AAMg9AAD4vQAARL4AAKA8AABQPQAAVL4AAAy-AACAOwAAur4AAOC8AAB_vwAABL4AAEy-AACoPQAAmD0AAFA9AAAQPQAARD4AAOA8AAAwPQAAcL0AADA9AABcPgAABL4AAIg9AAA0vgAAUD0AACQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=RexoRdVI7GA","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2888355133493254707"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3954299471"},"15539631457324284144":{"videoId":"15539631457324284144","docid":"34-4-0-ZD098EA429D2DEA0F","description":"Einstein ışık hızını evrenin hız limiti olarak tanımlardı. Işık Hızı Nedir? Işık Hızına Neden Ulaşamıyoruz?","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/754171/c6847bd4a22eedcc6344b2936ea91079/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IEfR5gAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=videoid:15539631457324284144","teaser":[{"list":{"type":"unordered","items":["Bu video, Einstein'ın görelilik teorisi ve ışık hızının fiziksel etkilerini anlatan eğitici bir içeriktir.","Video, ışık hızının evrenin hız limiti olduğunu ve nedensellik prensibini ihlal ettiğini açıklayarak başlar. Ardından Einstein'ın görelilik teorisi ve kütle-enerji denkliği anlatılır. Daha sonra ışık hızının fiziksel etkileri detaylı şekilde incelenir: yıldızların mavi-kırmızı kayması, kan dolaşımı sorunları ve maddenin ışık hızına yaklaştıkça kütlesinin artması. Video, savaş pilotları ve astronotların G kuvveti ile nasıl başa çıktıklarını da kısaca ele alır."]},"endTime":305,"title":"Işık Hızına Çıkmanın Fiziksel Sonuçları","beginTime":0}],"fullResult":[{"index":0,"title":"Işık Hızı ve Nedensellik Prensibi","list":{"type":"unordered","items":["Einstein, ışık hızını evrenin hız limiti olarak tanımlar ve ışık hızına ulaşmak nedensellik prensibini ihlal etmek anlamına gelir.","Nedensellik prensibi, silahınızdan henüz çıkmamış olan merminin hedefi vuramayacağı şeklinde örneklendirilebilir.","Işık hızını aşmak temel enerji ve fizik yasalarını ihlal etmek anlamına gelir ve bu yapılabilecek olursa zamanda yolculuk mümkün olacaktır."]},"beginTime":1,"endTime":44,"href":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=1&ask_summarization=1"},{"index":1,"title":"ışık Hızının Tarihsel Gelişimi","list":{"type":"unordered","items":["1900'lü yıllardan önce Isaac Newton'ın görüşüne inanılırken, 20. yüzyılda Albert Einstein'ın görelilik teorisi dünyayı değiştirdi.","Einstein'ın kütle-enerji denklemi, kütlenin enerjiye dönüştürülebileceğini iddia etti ve ışığın hızının gözlemciden bağımsız ve sabit olduğu sonucuna varıldı.","Işık hızı saniyede 299.792.458 metredir, bu kabaca saatte 1 milyar 79 milyon 250 bin km'ye eşittir ve bir arabanın maksimum hızının 3 milyon 597 bin 500 katıdır."]},"beginTime":44,"endTime":152,"href":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=44&ask_summarization=1"},{"index":2,"title":"Işık Hızında Seyahat Etmenin Görüntüsü","list":{"type":"unordered","items":["Işık hızında seyahat ederken Dünya, uçağın önündeki tünel şeklindeki bir pencereden görünecektir.","Uzaya doğru giderken öndeki yıldızlar mavi, arkanızdaki yıldızlar kırmızı görünecektir; bunun sebebi önünüzdeki yıldızlardan gelen ışık dalgalarının birleşmesi ve arkanızdaki yıldızlardan gelen ışık dalgalarının dağılmasıdır.","Fakat bu etki fazla sürmeyecektir, belirli bir hızdan sonraysa her şey siyah olarak görünecektir."]},"beginTime":152,"endTime":186,"href":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=152&ask_summarization=1"},{"index":3,"title":"Bedenin Işık Hızına Tepkisi","list":{"type":"unordered","items":["Vücudun kan dolaşımı aşırı hıza tepki olarak ayaklarda birikecek ve kalp bu ağırlaşmış kanı beynimize taşımak için daha fazla çalışmaya çalışacak fakat bunu yapamayacaktır.","Işık hızında seyahat etmenin neredeyse imkansız olduğu, çünkü bir maddenin hızı ışık hızına yaklaştıkça kütlesi katlanarak artar ve giderek daha çok enerjiye ihtiyaç duyar.","Herhangi bir maddeden yapılmış bir aracın bu kütle artışına dayanabilmesi imkansızdır, ışık hızına yaklaştıkça aracınız kendi ağırlığı altında ezilecektir."]},"beginTime":186,"endTime":243,"href":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=186&ask_summarization=1"},{"index":4,"title":"G Kuvveti ve Işık Hızına Çıkma","list":{"type":"unordered","items":["Savaş pilotları ve astronotlar, içinde bulunduğumuz araba hızlandığında sizi koltuğa yapıştıran G kuvvetine maruz kalırlar.","Bir jet uçağı pilotu 8,5 G'ye, astronotlar 9 G'ye maruz kalırken, özel G-suit adı verilen kıyafetler bu etkiyi minimuma indirmeye yardımcı olur.","Bir saat içerisinde ışık hızına çıkabilen bir araçta maruz kalacağınız G kuvveti 8.500 G olacaktır, bu da bir jet uçağının camına çarpan sinekten çok da farkınız olmayacaktır."]},"beginTime":243,"endTime":292,"href":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=243&ask_summarization=1"}],"linkTemplate":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Işık Hızını Geçersek? NE Olurdu? Bilim 101","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LOc9lkflOHs\",\"src\":\"serp\",\"rvb\":\"EqwDChM3MzY0MDcwOTY5MDI1MDQ3NjIwChQxNTc4NTEzOTYxNDg3NjYzNTI3MAoUMTYwNjU5MjcxMjQxOTgwNTE5MTQKFDE0ODQyOTE5OTczOTc0MDkwMTQwChE0NzYwNDM5OTI5NDUzMjAyNwoUMTE0ODAwOTk3ODM1NDAxNTMwNjIKFDE4MDAwNjcyNzc5MjIxNTUxODY0ChM2NTA3MTY5NjM3NjI1MTcxNTM1ChM0OTMwMzY3OTA3NDA0NTk4Njk5ChQxNDE3Njg5Njg1ODI2NjExNzExMwoTNTc4MTY5MjY3MzkxMTgxNjM2NgoTMzc5MzkwNTEwNTUyNzU5MzI3NwoUMTIwNzU1NDgwNTcyNzU0MzY0NDcKEzI4ODgzNTUxMzM0OTMyNTQ3MDcKFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0ChM1NDk3MjQzODM5MDQ4MDM0MzE3ChQxMzM4Njc1NDIzNTk4MDA1MTQ3MQoSNjcxNzQ5NzE0NDIzNTcxMjMyChQxNzE4NTM1MDc2NjUxNzMxNTQyNwoUMTE0ODM4NjQ3NDAyNDAzOTQ4OTIaFgoUMTU1Mzk2MzE0NTczMjQyODQxNDRaFDE1NTM5NjMxNDU3MzI0Mjg0MTQ0apIXEgEwGAAiRBowAAopaGhudGZzdndyanNhbWVpaGhVQ2RwMm5DYmhndzJudy14WnVaUEhMaUESAgARKhDCDw8aDz8TsQKCBCQBgAQrKosBEAEaeIEEDQD9Av4A-uvzBP0G_gLx_wkB-_7-APAB_wX2AQAA6PgEBwn_AAAE9wgEAAAAAAMB-QXy_gEAFgn9_wQAAAAN8P3_-QAAAO8KBgH_AQAA_Aj-BwT_AAAZAPEH_wAAAAUC8vMAAP8BB_gMDAAAAAD44Pv7AQAAACAALW0Mzjs4E0AJSE5QAiqEAhAAGvABf_vgAccO-__NBQAA7RjqAOICAwA27soBOz4V_6wR6P_vO-sA9fwUAPb07gDSDiQAzw4B_0XT-QAR2gUAR__X_7wHDwEM_fQC_SLtAcrWCQANFf__i_3hBO0QGv3sHQ3-6-Ee_wsPCQAhEvsA_xUK_vgu4gXn-wb94xEHAv8qIwAmKgcBJ-UP_TH_DgEe_y0EF_UH_xPT9_43NfABDfUJBgoN8gPz5f0E6OQABvAvAQUDCvoA7kTsA-LTBgXv8QQD3v8L9OIe__gG9QL58gX6-ADd_goeHAv_CfffARLqCPoRDvkE7gEB9ycl_foVEgD_IAAtXgAfOzgTQAlIYVACKs8HEAAawAfvHNK-b-i3PFrHZz1vRTI-zcQZPfcx8DyV0gO-lpinvL-0rDt4tdy8i9PeO9ExEb0l2r-9gDczPVT0Ezz16Hc9SXTFPKaBGr35KAi9rVI1vZbCLT1tO-29fbg_vBryFTwer3Y9fbsbPQ54qrwzGwS-GEQDvKLRALz9s-67-HptvWMWcL352F0-Nx08vVjJR7x29yU9GCgkvayUubxsWuk8n8qpPO_FlzyoEr-9O54eOp1UKr1kBuq9miQWPZZbmjyLLem8eLUau1I64jxEIL29tGA9vVvVRzkRdpW9DwlfvKQkWrzDZ4s-4978vGisojuVfy0-LmbVPD_9jDzvdfI9mFJyvLgDdTwra8u9ach4vBkMxzrIRSW-adGBPZ0Ix7xxzPK9aMmIPZsDxLzg3jA93_DMPBBYPToVkFa90nYHvatArTuFXr-9tTCAPfcNIzxHrEW9wyZXPb5hiTqGmLY9CmSLPfyt17tmJAw9zzjDvGy7AbwbSwi-0xZXOuqaAzzf-Cq-sZuTvQt6UjuKd5u9JuTjvctxQLt1-FW9wf4rvRcqf7ycogg8-oaIPXZlPLw95Pc8WAWFvJxcHzzctsQ9OXNxuuJTZ7vnooY8T2WHvDYCEDxaari9mzTyPBWrBrwjB3Y9MEZJvfk2FjyDbeQ9wqaZPUuiZTnqAwm9Ow7DuXUe1zuJX9G90vECvZ2arrtNCp29AqwCPNiGxDpU-p49mug4vXhaTzhnVVU9fkl0vAAxrrvYSqM9REdXvW3sorjiW5g9uiSYvB2feznNodY8eFKVPDzKlzgtyea83_TTPABpRbl_Np09aCXIvEam-rg7dBW9GjfQPAQfLbjYYtc92D4NvCyIvrieP5I9oQPcPDtusbkUHIO9xyStvRpRFTjhw_g7wlOjvctMYbh7s7g7X_ZGPTSj3bhski8-S623PNFrljfZVwG8vdpWvXy3lbgaAMU8jYljPZF9Oje1o9i9pehXvfSOAjVRM6C7uA1ZPOeyGDe5MSK91fTROtp8y7jeAom8ui3RvPUXMTeIaao99lJCvSfpKji92IM7yqacPAV5Ezes5nm9bVeovHlp9rc5rgs9KIUWvAFPQzcPFb49LX8ZPX_SmrgSMpA8xIM8PYrFozfjEbY911AKPuFQu7iUbBC9ukmxvIPjc7foJ0G81-iLPbrbUDji03e8leG-vay2HzfPE489TDqFPRriCLmA-NS8rimQvekEebdtJ8A868P6PJoPuLhJ0yU9YcOyu0yiP7j7MAw9NfsyPdaqnDcgADgTQAlIbVABKnMQABpg0voANwQ5_wgnMvUiDTYZ8wPfSe-48__vEQC6JKgMBU8M2xRFADMB_TqgAAAADf_d4-cA6n8G0Ab1-Asx3LTnK-dgGwGOwiAI2fUYAeT_4xggRTIlAOnJwvox2JEI9XYvIAAtdCYVOzgTQAlIb1ACKq8GEAwaoAYAAADAAAAgQQAAeEIAAFhCAACQQQAAiMEAAEDAAACwQQAAKMIAABBCAACAQgAACEIAAADCAABwwQAAoEAAABjCAAAIQgAACMIAAAAAAACAQAAAYEEAAFjCAAAQwQAATEIAAMBBAADIwQAAgsIAAEzCAAA8QgAAHEIAAJrCAAAYQgAAUMEAABTCAAAwQgAAgEAAAIBAAABQQgAAGEIAAAjCAAAMQgAAAEAAAIBBAACYQQAALMIAAABBAABAQgAAPMIAAABCAAA8QgAAvsIAAJDBAAAAQQAA4EEAAPjBAABAQgAAXMIAAIA_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_r4AAEA8AADIPQAAoLwAAFw-AAADPwAAur4AAE2_AAAQPQAA-L0AADS-AADoPQAAsj4AADC9AADgPAAADL4AAI6-AAAwPQAAXD4AAPY-AAB_PwAAUD0AACw-AABwPQAATD4AAFy-AAAcvgAAPL4AALg9AAARPwAAPD4AADy-AACIPQAAcL0AALa-AABMPgAALL4AAGS-AADOvgAAJL4AAJg9AACuPgAAtj4AAJa-AAC2PgAAnr4AAOi9AABEvgAAZL4AABu_AACovQAAFL4AAKY-AACWvgAA-D0AAKA8AABNPwAAkj4AABC9AACiPgAAgDsAAIC7AADovQAABD4gADgTQAlIfFABKo8CEAEagAIAADA9AAAwvQAAuL0AAEm_AACgvAAAHD4AABQ-AAAcPgAAir4AALY-AACePgAAqL0AADA9AADevgAAmL0AABA9AACAuwAAIT8AAIC7AACIPQAA6L0AAHQ-AAAwPQAAuL0AALi9AAB8PgAAqL0AAKg9AACWvgAA6L0AACw-AAAwvQAADL4AADQ-AABQPQAAbL4AAFw-AAAkPgAACb8AABS-AABQPQAAMD0AADC9AABwPQAAFL4AAOA8AAB_vwAAHD4AAKA8AADIvQAA4LwAAIC7AACSPgAAgDsAAAQ-AADgvAAA4DwAADA9AACIPQAAVL4AADC9AAAQvQAAJL4AAOg9IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=LOc9lkflOHs","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15539631457324284144"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3452755161"},"5497243839048034317":{"videoId":"5497243839048034317","docid":"34-5-3-Z097A9644AC8FC9D6","description":"Some glitches have made their way into Wizard101 recently... LIKE if you enjoyed, thanks! Don't miss any videos, subscribe! - 💀 http://bit.ly/subBlazeLH 💀 My Twitter: / blazelh Where we stream...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4577694/c20d4762a3f1b73416c630d280d26c48/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-AqFgwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Di3hMc5qIji0","linkTemplate":"/video/preview/5497243839048034317?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Wizard101: Someone Logged into Your Account? & Zeke Glitch","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=i3hMc5qIji0\",\"src\":\"serp\",\"rvb\":\"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_Pn_AQD2-QYJDgb8AQIMAP_3__8A5vn7Cvj9AQD19wP_9wAAAAEDB_3_AAAA7Qr09P4BAAD__PUEAwAAAAz3CAL7AAAAAP8GC_4BAAD_8vsBA_8AAAv1-___AAAA-wEKAPr_AAD2A__tAAAAAP_vA_gAAAAAIAAtKzLXOzgTQAlITlACKoQCEAAa8AF_7Lz-6S3jAq_98wC0-7gA8wLg_3gLGgAgAgMAR-HxAf-86gDG0gAABQQIABbz6wDFEQH_CxEO_yjxBP_B7R8BBC0JAfYVJQAl6gMBVvHk_w0U7f8zPAf-0bQD_Mzm1_vA-NwBLfMTAdpHEgMlA9oE5-vnBeWl6__vBeL-09TmAg7K0f75_Aj4HBP--Oj1wv0V1uv8HfrZ_kz8CP7n4hEKEgT6_MEZ8wLp9w_64vv7CiD_Jv5qFuj9BAgy_gDrBAUk9_8M-dAGAhcPBPFR4RIN5CQE9fnXC_jqEvQC9NsQEx8JBhMBEAD3_rsK_yUiCu8gAC1oQQM7OBNACUhhUAIqcxAAGmBD_AB6A-Lw9y05-B_-Jy8T_fQB9wY3__vP__vp6t4N9-uODPr_QwP1EpoAAAA9MuQY6QACfw0asdIC-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-EEAAIC_AABwQgAAmEIAAMhBAAAEwgAAgEIAAHTCAAA0wgAAOEIAAEzCAABYQgAAGMIAACDBAACAwAAAUMEAAKBBAACAQAAAJEIAAJjBAABAQgAAIMEAAMjBAAAswgAAsMEAAJBBAAAcQgAAisIAAEDBAABgQQAAoEEAAM7CAADAwAAAsMEAANBBAAC2QgAAjMIAAJBBAABgwQAAhkIAACTCAACAwQAAhkIAAGzCAAB4wgAAAMEAAGBBAABYwgAA2MIAANhBIAA4E0AJSHVQASqPAhAAGoACAACGPgAAEL0AAAQ-AADovQAA2L0AAMo-AACGvgAAH78AAJK-AAC4PQAAoj4AADC9AAAcPgAADD4AAJ6-AAAMvgAAqj4AAIi9AAC4PQAARD4AAH8_AABsvgAAjj4AAEA8AAAQPQAALL4AAOA8AAAsPgAAXD4AAHw-AACGPgAA2L0AAI6-AAAUPgAAED0AAIi9AAAEPgAAbL4AANq-AADKvgAAur4AAFA9AACmPgAAJL4AADw-AACIPQAAmD0AADS-AACCPgAAZL4AAIA7AADovQAAgLsAAJg9AACovQAAgLsAAB0_AABAvAAAJD4AAPg9AACgPAAALL4AAII-AAB0viAAOBNACUh8UAEqjwIQARqAAgAAHL4AAHC9AACYPQAAM78AAIg9AABcPgAAmL0AAKg9AABwvQAAiL0AADC9AAAUvgAARD4AAIi9AAAUPgAAgDsAAPg9AABXPwAAQLwAAFw-AAAsPgAAJL4AAKo-AAAUvgAAMD0AACQ-AABcvgAA2D0AAMg9AAC4PQAAUD0AAEA8AACAOwAAgDsAAJI-AABwvQAAcD0AAKC8AACYvQAABL4AAKY-AAAQvQAAcD0AAKA8AAAkvgAAEL0AAH-_AAAwPQAAqL0AAFQ-AACIPQAAcD0AAFC9AADSPgAAUL0AAOg9AABwvQAAUL0AAHA9AADIvQAABD4AABC9AADIPQAADL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=i3hMc5qIji0","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["5497243839048034317"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4277649978"},"13386754235980051471":{"videoId":"13386754235980051471","docid":"34-3-1-ZE88B3CC04DDCF174","description":"H O P E Y O U E N J O Y E D Links: Twitch: / kaiser_noah Patreon: / kaisernoahyt Discord: / discord Timestamps: 0:00 Introduction 1:32 Deer Knight 3:12 Ship of Fools 4:27 Gold Skeleton Keys 5:40...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4091894/d5dce38eba3204b551ea497bbbbfaeb4/564x318_1"},"target":"_self","position":"18","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DetVQ9O2TerY","linkTemplate":"/video/preview/13386754235980051471?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How To Get Early Level AOE Spells As a Life Or Death in Wizard101","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=etVQ9O2TerY\",\"src\":\"serp\",\"rvb\":\"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_wIA5_4A-wT_AQD-C_jy9_7-AOkHAQ39_wEA-Pv_BQUAAAD2_QT9-AAAAPv89Pn2_gEA-Pv-BwMAAAAKAAf8_AAAABUIAvX-AQAA__L7AQP_AAAK9woCAAAAAPwBAwb-_wAA8gEF-wAAAAAEAfsEAAAAACAALV612Ds4E0AJSE5QAipzEAAaYAgSABYrD_HXGhvX8fELDCcfGv_6-BH_G7wA__Pm5gb5AKom1_810gf2vAAAAAr74wv5ABdbIAnN7w_59M_Z1w_nfwX3vtPgAQbrJfETCgn08x1BZwDED-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-MEAAHBBAACAPwAAGEIAAJBBAAAYwgAAmMIAAHDBAAAUQgAAIMIAAOjBAABcwgAAEEEAABBBAABAwAAAAEAAADTCAAA8wgAAlkIAAIxCAABEQgAA8MEAAITCAABMwgAAIMEAAIRCAACAwQAAgL8AAIC_AACwQQAAIEEAAIDBAACowgAAksIAAIhBAACAvwAAukIAAIDBAAAcQgAA4EAAAADCAABAwAAAiMEAAOBAAADwQQAA4EEAAFhCAAA8wgAAQEIAAFBBAAAwQQAAoMIAAMjBAACgQAAABEIAACBCAAB8wgAAoMAAAADAAACkwgAAjEIAANBBAACQQgAADEIAAMDBAABgQQAAwMAAAEDBAADowQAAwMAAADzCAABowgAAAAAAANBCAABIwgAAgMEAAIC_AACQwQAAsEEAAKBBAAAwwgAAEEIAACDBAACgQAAAEEIAAGDCAADIQQAAoMAAAEDCAAAUQgAAaMIAAADAAABkwgAAoEEgADgTQAlIdVABKo8CEAAagAIAAKA8AADgvAAALD4AAIi9AAAUPgAApj4AAIK-AAATvwAAPL4AAIg9AACoPQAAVD4AANi9AAAwPQAANL4AAHS-AACKPgAAQDwAAPg9AAAkPgAAfz8AANg9AAC6PgAAdD4AAHC9AAAQvQAA6D0AABQ-AABQPQAA2D0AAFQ-AACIvQAAmL0AAIC7AADgPAAAgLsAABC9AACovQAA7r4AAKq-AAD4PQAAFL4AAIY-AABcvgAAJD4AAAw-AADIPQAA4DwAAHQ-AABMvgAAND4AAKi9AABUPgAAiD0AADA9AADIvQAAHT8AAOA8AABUvgAA4LwAALg9AACgvAAABD4AAKA8IAA4E0AJSHxQASqPAhABGoACAADuvgAAoLwAADw-AAAvvwAAiD0AAKi9AACIPQAADD4AAFC9AAD4vQAAQLwAAOC8AABkPgAAEL0AACw-AAAQvQAAcL0AAEk_AADoPQAAPD4AAOC8AAA8vgAAHD4AABS-AADgPAAAgDsAADy-AAAQvQAAFD4AAOC8AABQvQAAoDwAAOi9AAC4PQAA8j4AADS-AACKPgAABL4AAFS-AACAOwAABL4AAOi9AABAPAAAuD0AABS-AAA0vgAAf78AAKA8AACuvgAA4LwAAJg9AAA0PgAAfD4AAKY-AAA8vgAAUD0AAIi9AAAkvgAALD4AAAy-AAAcPgAAJL4AAEA8AAAsviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=etVQ9O2TerY","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13386754235980051471"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"671749714423571232":{"videoId":"671749714423571232","docid":"34-6-12-ZAB017224AD88A773","description":"#canada #Iran #iranian #مهاجرت #اخوند #nasser_pooli...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4441180/fadcb6f4027a33226d373d109c9405f0/564x318_1"},"target":"_self","position":"19","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuTIQmGseio0","linkTemplate":"/video/preview/671749714423571232?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"flashback: آخوند شلوار جين پوش در کانادا توسط مردم مبارز إفشاء شد. #nasser_pooli","related_orig_text":"Mathologist101","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathologist101\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uTIQmGseio0\",\"src\":\"serp\",\"rvb\":\"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_-P_7BgD0-AgBAgT-AfEF_wD6__4A_AH7Bf0F_gD4CPwBAAAAAP8FAf8FAAAA_AIDBPb-AQAMAgb9_QAAAPn3_P38AAAABwb_Av4BAAD-BwMAAv8AAA7-AQcAAAAA-gUBBQQBAAAEB_7-AAAAAADs9vcBAAAAIAAt2W3kOzgTQAlITlACKnMQABpg_QIAAiorU64S_aMkJfcE0e3nzqrNJP9L1QAsHP_vChPosEr-_xsQChegAAAAD_cZQQ0A6H8PI5zw7A_kGxnobUlGEBjyv8sA6A__XrME8B0UHg4fANQTAeMD1hc8BxQDIAAtb5oaOzgTQAlIb1ACKq8GEAwaoAYAAGDBAAAgQQAAqkIAADBBAADowQAAQMAAAGBBAADgwQAAAEIAAIA_AABQQgAAqkIAAKjBAADAQAAAiEIAAIBAAAAsQgAASMIAANBBAACIwgAAgMAAAADAAAAMwgAAeEIAAAxCAABgwQAA0sIAAIjCAAAEQgAA-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-MEAAEjCAACsQgAAwEEAAPhBAAD4QQAAUEEAABjCAABYQgAAkEEAAMBBAAC2wgAA0MEAADTCAADYQSAAOBNACUh1UAEqjwIQABqAAgAAgLsAAOC8AADKPgAAED0AAPi9AAC4PQAAlr4AAPa-AADgPAAAoDwAAEw-AACAOwAAyD0AAFw-AAD4vQAAiL0AAMg9AAAQPQAAgDsAAFw-AAB_PwAAND4AANi9AACOPgAAgLsAAJi9AACgvAAA6L0AACQ-AADIPQAAcL0AAHA9AADovQAAQDwAAEC8AABAPAAAUD0AAAy-AAA0vgAAdL4AALi9AAAEvgAAuL0AAMi9AAAkvgAARL4AACQ-AABAvAAAoLwAAFy-AACCPgAADD4AAJ4-AABwPQAAmr4AAKi9AAAbPwAAgDsAAIg9AADIPQAAmL0AAOC8AACYPQAAQLwgADgTQAlIfFABKo8CEAEagAIAAAS-AABAPAAA-D0AABu_AACYPQAAMD0AABC9AABwPQAAPL4AAKI-AACovQAAUL0AAOA8AAC4vQAA4DwAAHC9AACYvQAAOT8AAIi9AABUPgAA2L0AAAS-AACYPQAAyL0AAEA8AACoPQAAUD0AAIA7AAD4PQAAiD0AADC9AADgPAAAUD0AAAS-AABwvQAAiD0AAKi9AADoPQAAED0AAFA9AAAUPgAAyL0AAIA7AACovQAANL4AADS-AAB_vwAAQLwAAEA8AABsPgAA4DwAALi9AABUPgAAqD0AAIA7AAAwvQAAgLsAAHA9AAB0vgAAQLwAAOA8AAAQvQAAiD0AAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=uTIQmGseio0","parent-reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["671749714423571232"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"7364070969025047620":{"videoId":"7364070969025047620","title":"Trigonometry: The Basics You Need to Know explained #trigonometry #calculus #students #math","cleanTitle":"Trigonometry: The Basics You Need to Know explained #trigonometry #calculus #students #math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_ssnRNzmtXU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_ssnRNzmtXU?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1530,"text":"25:30","a11yText":"Süre 25 dakika 30 saniye","shortText":"25 dk."},"date":"17 şub 2022","modifyTime":1645056000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_ssnRNzmtXU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_ssnRNzmtXU","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":1530},"parentClipId":"7364070969025047620","href":"/preview/7364070969025047620?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/7364070969025047620?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15785139614876635270":{"videoId":"15785139614876635270","title":"Mathematical Logic: Introduction to #booleanalgebra #maths","cleanTitle":"Mathematical Logic: Introduction to #booleanalgebra #maths","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=t_mW8zm7IbM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/t_mW8zm7IbM?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2077,"text":"34:37","a11yText":"Süre 34 dakika 37 saniye","shortText":"34 dk."},"date":"18 mayıs 2023","modifyTime":1684368000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/t_mW8zm7IbM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=t_mW8zm7IbM","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":2077},"parentClipId":"15785139614876635270","href":"/preview/15785139614876635270?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/15785139614876635270?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16065927124198051914":{"videoId":"16065927124198051914","title":"The Mean: the Power of Integrals in Statistics!","cleanTitle":"The Mean: the Power of Integrals in Statistics!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Ng-vEVW9Ti8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Ng-vEVW9Ti8?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":656,"text":"10:56","a11yText":"Süre 10 dakika 56 saniye","shortText":"10 dk."},"date":"17 mayıs 2023","modifyTime":1684281600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Ng-vEVW9Ti8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Ng-vEVW9Ti8","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":656},"parentClipId":"16065927124198051914","href":"/preview/16065927124198051914?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/16065927124198051914?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14842919973974090140":{"videoId":"14842919973974090140","title":"One variable data analysis explained #datascience","cleanTitle":"One variable data analysis explained #datascience","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=pYtaGbsPamE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/pYtaGbsPamE?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2080,"text":"34:40","a11yText":"Süre 34 dakika 40 saniye","shortText":"34 dk."},"date":"7 mar 2022","modifyTime":1646611200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/pYtaGbsPamE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=pYtaGbsPamE","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":2080},"parentClipId":"14842919973974090140","href":"/preview/14842919973974090140?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/14842919973974090140?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"47604399294532027":{"videoId":"47604399294532027","title":"$1 Million Limit Challenge: Solving limit Without L'Hôpital's Rule","cleanTitle":"$1 Million Limit Challenge: Solving limit Without L'Hôpital's Rule","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7pvEYsAzOAk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7pvEYsAzOAk?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":258,"text":"4:18","a11yText":"Süre 4 dakika 18 saniye","shortText":"4 dk."},"views":{"text":"1,2bin","a11yText":"1,2 bin izleme"},"date":"22 şub 2022","modifyTime":1645488000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7pvEYsAzOAk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7pvEYsAzOAk","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":258},"parentClipId":"47604399294532027","href":"/preview/47604399294532027?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/47604399294532027?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11480099783540153062":{"videoId":"11480099783540153062","title":"How to find a length of the partial perimeter of a circle","cleanTitle":"How to find a length of the partial perimeter of a circle","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=L0Wpgm8Mo4k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/L0Wpgm8Mo4k?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":701,"text":"11:41","a11yText":"Süre 11 dakika 41 saniye","shortText":"11 dk."},"views":{"text":"3,6bin","a11yText":"3,6 bin izleme"},"date":"28 ara 2023","modifyTime":1703721600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/L0Wpgm8Mo4k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=L0Wpgm8Mo4k","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":701},"parentClipId":"11480099783540153062","href":"/preview/11480099783540153062?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/11480099783540153062?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18000672779221551864":{"videoId":"18000672779221551864","title":"why summation of all the angles in a triangle equals 180 degrees?","cleanTitle":"why summation of all the angles in a triangle equals 180 degrees?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=KwvW_XspKP8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/KwvW_XspKP8?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":141,"text":"2:21","a11yText":"Süre 2 dakika 21 saniye","shortText":"2 dk."},"date":"30 ara 2023","modifyTime":1703894400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/KwvW_XspKP8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=KwvW_XspKP8","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":141},"parentClipId":"18000672779221551864","href":"/preview/18000672779221551864?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/18000672779221551864?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6507169637625171535":{"videoId":"6507169637625171535","title":"Solving limits Without L'Hopital. #calculus #limits #students #tutor #math","cleanTitle":"Solving limits Without L'Hopital. #calculus #limits #students #tutor #math","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_WHq3UZ7vEg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_WHq3UZ7vEg?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":973,"text":"16:13","a11yText":"Süre 16 dakika 13 saniye","shortText":"16 dk."},"date":"16 şub 2022","modifyTime":1644969600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_WHq3UZ7vEg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_WHq3UZ7vEg","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":973},"parentClipId":"6507169637625171535","href":"/preview/6507169637625171535?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/6507169637625171535?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4930367907404598699":{"videoId":"4930367907404598699","title":"Proving the Formula: Proof of a^2 = b^2 + c^2 - 2bc·cos(A) in a Triangle","cleanTitle":"Proving the Formula: Proof of a^2 = b^2 + c^2 - 2bc·cos(A) in a Triangle","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Q3_AnUBnUF8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Q3_AnUBnUF8?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":396,"text":"6:36","a11yText":"Süre 6 dakika 36 saniye","shortText":"6 dk."},"date":"18 mayıs 2023","modifyTime":1684368000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Q3_AnUBnUF8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Q3_AnUBnUF8","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":396},"parentClipId":"4930367907404598699","href":"/preview/4930367907404598699?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/4930367907404598699?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14176896858266117113":{"videoId":"14176896858266117113","title":"Who came up with complex numbers, and why?","cleanTitle":"Who came up with complex numbers, and why?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qUH87zELwcY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qUH87zELwcY?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":655,"text":"10:55","a11yText":"Süre 10 dakika 55 saniye","shortText":"10 dk."},"date":"17 mayıs 2023","modifyTime":1684281600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qUH87zELwcY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qUH87zELwcY","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":655},"parentClipId":"14176896858266117113","href":"/preview/14176896858266117113?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/14176896858266117113?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5781692673911816366":{"videoId":"5781692673911816366","title":"Why is the dimension of snow flake fractal 1.30? (fractals=inter-dimensional shapes)","cleanTitle":"Why is the dimension of snow flake fractal 1.30? (fractals=inter-dimensional shapes)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=WxLL_oB5-cE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WxLL_oB5-cE?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":448,"text":"7:28","a11yText":"Süre 7 dakika 28 saniye","shortText":"7 dk."},"views":{"text":"1bin","a11yText":"1 bin izleme"},"date":"3 oca 2024","modifyTime":1704240000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WxLL_oB5-cE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WxLL_oB5-cE","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":448},"parentClipId":"5781692673911816366","href":"/preview/5781692673911816366?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/5781692673911816366?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3793905105527593277":{"videoId":"3793905105527593277","title":"Boğaziçi Üniversitesi Mat101 Güz Dönemi 2022 Ara Sınavı | Soru 1 Çözümü | Calculus","cleanTitle":"Boğaziçi Üniversitesi Mat101 Güz Dönemi 2022 Ara Sınavı | Soru 1 Çözümü | Calculus","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=KUGKsvHTfCU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/KUGKsvHTfCU?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":"d3d3LnlvdXR1YmUuY29tO1VDUjgzeDFicGFmWGlTM1c1cGhmVFdldw==","name":"Kuzey Kampüs - Şahin Aksankur","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Kuzey+Kamp%C3%BCs+-+%C5%9Eahin+Aksankur","origUrl":"http://www.youtube.com/@kuzeykampus","a11yText":"Kuzey Kampüs - Şahin Aksankur. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":988,"text":"16:28","a11yText":"Süre 16 dakika 28 saniye","shortText":"16 dk."},"views":{"text":"4,3bin","a11yText":"4,3 bin izleme"},"date":"16 eyl 2023","modifyTime":1694822400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/KUGKsvHTfCU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=KUGKsvHTfCU","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":988},"parentClipId":"3793905105527593277","href":"/preview/3793905105527593277?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/3793905105527593277?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12075548057275436447":{"videoId":"12075548057275436447","title":"Christmas WITH Malistaire - Wizard101 Death Walkthrough Ep 35","cleanTitle":"Christmas WITH Malistaire - Wizard101 Death Walkthrough Ep 35","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=HREgVm_0nds","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/HREgVm_0nds?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":"d3d3LnlvdXR1YmUuY29tO1VDQmo1U1oxY2VVZG9adlVNRC1FMkk3Zw==","name":"BlazeLifehammer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=BlazeLifehammer","origUrl":"http://www.youtube.com/@BlazeLifehammer","a11yText":"BlazeLifehammer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1703,"text":"28:23","a11yText":"Süre 28 dakika 23 saniye","shortText":"28 dk."},"views":{"text":"38,5bin","a11yText":"38,5 bin izleme"},"date":"26 ara 2017","modifyTime":1514237216000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/HREgVm_0nds?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=HREgVm_0nds","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":1703},"parentClipId":"12075548057275436447","href":"/preview/12075548057275436447?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/12075548057275436447?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2888355133493254707":{"videoId":"2888355133493254707","title":"Wizard101: Antiquity Farming Guide | Mirage Reagents: Antique Coins, Chest, Egg, Statue, Fulgurite","cleanTitle":"Wizard101: Antiquity Farming Guide | Mirage Reagents: Antique Coins, Chest, Egg, Statue, Fulgurite","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RexoRdVI7GA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RexoRdVI7GA?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":"d3d3LnlvdXR1YmUuY29tO1VDVk0zRWh6MllpblJzOThsQWM1eUdUUQ==","name":"Heather&Val","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Heather%26Val","origUrl":"http://www.youtube.com/@HeatherTheWizard1","a11yText":"Heather&Val. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":652,"text":"10:52","a11yText":"Süre 10 dakika 52 saniye","shortText":"10 dk."},"views":{"text":"19bin","a11yText":"19 bin izleme"},"date":"5 ara 2016","modifyTime":1480896000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RexoRdVI7GA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RexoRdVI7GA","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":652},"parentClipId":"2888355133493254707","href":"/preview/2888355133493254707?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/2888355133493254707?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15539631457324284144":{"videoId":"15539631457324284144","title":"Işık Hızını Geçersek? NE Olurdu? Bilim 101","cleanTitle":"Işık Hızını Geçersek? NE Olurdu? Bilim 101","host":{"title":"YouTube","href":"http://www.youtube.com/live/LOc9lkflOHs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LOc9lkflOHs?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":"d3d3LnlvdXR1YmUuY29tO1VDZHAybkNiaGd3Mm53LXhadVpQSExpQQ==","name":"Bilim 101","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Bilim+101","origUrl":"http://www.youtube.com/@Bilim101","a11yText":"Bilim 101. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":305,"text":"5:05","a11yText":"Süre 5 dakika 5 saniye","shortText":"5 dk."},"views":{"text":"34bin","a11yText":"34 bin izleme"},"date":"24 tem 2019","modifyTime":1563926400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LOc9lkflOHs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LOc9lkflOHs","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":305},"parentClipId":"15539631457324284144","href":"/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/15539631457324284144?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5497243839048034317":{"videoId":"5497243839048034317","title":"Wizard101: Someone Logged into Your Account? & Zeke Glitch","cleanTitle":"Wizard101: Someone Logged into Your Account? & Zeke Glitch","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=i3hMc5qIji0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/i3hMc5qIji0?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":"d3d3LnlvdXR1YmUuY29tO1VDQmo1U1oxY2VVZG9adlVNRC1FMkk3Zw==","name":"BlazeLifehammer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=BlazeLifehammer","origUrl":"http://www.youtube.com/@BlazeLifehammer","a11yText":"BlazeLifehammer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":584,"text":"9:44","a11yText":"Süre 9 dakika 44 saniye","shortText":"9 dk."},"views":{"text":"23,7bin","a11yText":"23,7 bin izleme"},"date":"21 mayıs 2018","modifyTime":1526860800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/i3hMc5qIji0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=i3hMc5qIji0","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":584},"parentClipId":"5497243839048034317","href":"/preview/5497243839048034317?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/5497243839048034317?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13386754235980051471":{"videoId":"13386754235980051471","title":"How To Get Early Level AOE Spells As a Life Or Death in Wizard101","cleanTitle":"How To Get Early Level AOE Spells As a Life Or Death in Wizard101","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=etVQ9O2TerY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/etVQ9O2TerY?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":"d3d3LnlvdXR1YmUuY29tO1VDTjVhSUFhUGMwLXRSTHBlVDdEVkFpQQ==","name":"Kaiser Noah","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Kaiser+Noah","origUrl":"http://www.youtube.com/@KaiserNoah","a11yText":"Kaiser Noah. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":624,"text":"10:24","a11yText":"Süre 10 dakika 24 saniye","shortText":"10 dk."},"views":{"text":"43,4bin","a11yText":"43,4 bin izleme"},"date":"21 ara 2024","modifyTime":1734739200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/etVQ9O2TerY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=etVQ9O2TerY","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":624},"parentClipId":"13386754235980051471","href":"/preview/13386754235980051471?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/13386754235980051471?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"671749714423571232":{"videoId":"671749714423571232","title":"flashback: آخوند شلوار جين پوش در کانادا توسط مردم مبارز إفشاء شد. #nasser_pooli","cleanTitle":"flashback: آخوند شلوار جين پوش در کانادا توسط مردم مبارز إفشاء شد. #nasser_pooli","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uTIQmGseio0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uTIQmGseio0?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":"d3d3LnlvdXR1YmUuY29tO1VDbDBFRXJNMG9waWdQSkVtcEpPVnVHQQ==","name":"Mathologist101","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathologist101","origUrl":"http://www.youtube.com/@Magictrend101","a11yText":"Mathologist101. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1540,"text":"25:40","a11yText":"Süre 25 dakika 40 saniye","shortText":"25 dk."},"views":{"text":"3bin","a11yText":"3 bin izleme"},"date":"3 ağu 2024","modifyTime":1722643200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uTIQmGseio0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uTIQmGseio0","reqid":"1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL","duration":1540},"parentClipId":"671749714423571232","href":"/preview/671749714423571232?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","rawHref":"/video/preview/671749714423571232?parent-reqid=1769177989133402-16172421327952295189-balancer-l7leveler-kubr-yp-klg-87-BAL&text=Mathologist101","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":"6172421327952295189787","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Mathologist101","queryUriEscaped":"Mathologist101","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"}}}