{"pages":{"search":{"query":"Hilbert","originalQuery":"Hilbert","serpid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","parentReqid":"","serpItems":[{"id":"8472598123700062076-0-0","type":"videoSnippet","props":{"videoId":"8472598123700062076"},"curPage":0},{"id":"17014531750395676148-0-1","type":"videoSnippet","props":{"videoId":"17014531750395676148"},"curPage":0},{"id":"1588258044894937277-0-2","type":"videoSnippet","props":{"videoId":"1588258044894937277"},"curPage":0},{"id":"video-related-suggest-0-3","type":"relatedSuggest","props":{"title":"Bunlar aranıyor","columns":[[{"text":"David Hilbert quotes","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=David+Hilbert+quotes&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Hilbert problems","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Hilbert+problems&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Hilbert's axioms","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Hilbert%27s+axioms&source=video-related-suggest&rq=1&src=int_discovery_recommender"}],[{"text":"Hilbert curve","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Hilbert+curve&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Hilbert space","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Hilbert+space&source=video-related-suggest&rq=1&src=int_discovery_recommender"},{"text":"Hilbert theorem","src":"int_discovery_recommender","is_rec":1,"url":"https://twitter.yandex.com.tr/search/?text=Hilbert+theorem&source=video-related-suggest&rq=1&src=int_discovery_recommender"}]]},"curPage":0},{"id":"17502051696049876449-0-4","type":"videoSnippet","props":{"videoId":"17502051696049876449"},"curPage":0},{"id":"R-I-113683-5-0-5","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":5,"grab":"dEhpbGJlcnQK","statId":5,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","ui":"desktop","yuid":"7781351021769298385"}}},"isAdult":false,"position":5,"placement":"empty"},"curPage":0},{"id":"854901642552879818-0-6","type":"videoSnippet","props":{"videoId":"854901642552879818"},"curPage":0},{"id":"10573762856221210305-0-7","type":"videoSnippet","props":{"videoId":"10573762856221210305"},"curPage":0},{"id":"4796618407072149250-0-8","type":"videoSnippet","props":{"videoId":"4796618407072149250"},"curPage":0},{"id":"18440070941439230571-0-9","type":"videoSnippet","props":{"videoId":"18440070941439230571"},"curPage":0},{"id":"12023761439975888900-0-10","type":"videoSnippet","props":{"videoId":"12023761439975888900"},"curPage":0},{"id":"6495862107644088712-0-11","type":"videoSnippet","props":{"videoId":"6495862107644088712"},"curPage":0},{"id":"R-I-113683-5-0-12","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":12,"grab":"dEhpbGJlcnQK","statId":12,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","ui":"desktop","yuid":"7781351021769298385"}}},"isAdult":false,"position":12,"placement":"empty"},"curPage":0},{"id":"13148086720227390716-0-13","type":"videoSnippet","props":{"videoId":"13148086720227390716"},"curPage":0},{"id":"7844906130032804316-0-14","type":"videoSnippet","props":{"videoId":"7844906130032804316"},"curPage":0},{"id":"13554237097213729584-0-15","type":"videoSnippet","props":{"videoId":"13554237097213729584"},"curPage":0},{"id":"1025561009693056524-0-16","type":"videoSnippet","props":{"videoId":"1025561009693056524"},"curPage":0},{"id":"4322023246604023775-0-17","type":"videoSnippet","props":{"videoId":"4322023246604023775"},"curPage":0},{"id":"9716128442251763949-0-18","type":"videoSnippet","props":{"videoId":"9716128442251763949"},"curPage":0},{"id":"14274185103122175609-0-19","type":"videoSnippet","props":{"videoId":"14274185103122175609"},"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":"dEhpbGJlcnQK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","ui":"desktop","yuid":"7781351021769298385"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DHilbert"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"1064094528953030841739","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":["1460330,0,82;1466867,0,13;151171,0,91;1281084,0,83;287509,0,82;1447467,0,76;1037340,0,26;1468028,0,75;912283,0,56"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DHilbert","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Hilbert","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":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Hilbert","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Hilbert: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Hilbert\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Hilbert — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yd54437ec6468c3914841b23f58dc7498","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1460330,1466867,151171,1281084,287509,1447467,1037340,1468028,912283","queryText":"Hilbert","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7781351021769298385","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":"1769298443","tz":"America/Louisville","to_iso":"2026-01-24T18:47:23-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-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":"1460330,1466867,151171,1281084,287509,1447467,1037340,1468028,912283","queryText":"Hilbert","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"7781351021769298385","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":"1064094528953030841739","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":148,"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":"7781351021769298385","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":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"8472598123700062076":{"videoId":"8472598123700062076","docid":"34-3-14-Z63F69D115A52CE83","description":"Wavefunctions Live in Hilbert Space. What does it mean? What are Hilbert Spaces? In this video, I explore these ideas. 𓏬𓏬𓏬𓏬𓏬Introductory QM Lecture Series Playlist𓏬𓏬𓏬𓏬𓏬 • Quantum...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4576353/91f989bb9c3b903d98df549a454b2e02/564x318_1"},"target":"_self","position":"0","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DeqRGPWlrtmw","linkTemplate":"/video/preview/8472598123700062076?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is Hilbert Space?","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eqRGPWlrtmw\",\"src\":\"serp\",\"rvb\":\"EqsDChM4NDcyNTk4MTIzNzAwMDYyMDc2ChQxNzAxNDUzMTc1MDM5NTY3NjE0OAoTMTU4ODI1ODA0NDg5NDkzNzI3NwoUMTc1MDIwNTE2OTYwNDk4NzY0NDkKEjg1NDkwMTY0MjU1Mjg3OTgxOAoUMTA1NzM3NjI4NTYyMjEyMTAzMDUKEzQ3OTY2MTg0MDcwNzIxNDkyNTAKFDE4NDQwMDcwOTQxNDM5MjMwNTcxChQxMjAyMzc2MTQzOTk3NTg4ODkwMAoTNjQ5NTg2MjEwNzY0NDA4ODcxMgoUMTMxNDgwODY3MjAyMjczOTA3MTYKEzc4NDQ5MDYxMzAwMzI4MDQzMTYKFDEzNTU0MjM3MDk3MjEzNzI5NTg0ChMxMDI1NTYxMDA5NjkzMDU2NTI0ChM0MzIyMDIzMjQ2NjA0MDIzNzc1ChM5NzE2MTI4NDQyMjUxNzYzOTQ5ChQxNDI3NDE4NTEwMzEyMjE3NTYwOQoTNDUzNjMwMDU0MzczMTUxNTMxNwoTODMzMzEzNDcwMzcyNTUwMzQ1MAoTMTkyODE3MTQ1MDYwMDYyMzcyMBoVChM4NDcyNTk4MTIzNzAwMDYyMDc2WhM4NDcyNTk4MTIzNzAwMDYyMDc2aq8NEgEwGAAiRRoxAAoqaGhseXBuYWh2cGRoY3FrYmhoVUNPZkxtNmdaR3QzdndUTUtSZy1pcmhnEgIAEioQwg8PGg8_E60QggQkAYAEKyqLARABGniB_v_4__sGAO4DAgwHA_4A9Q4L-fr9_QDuAvwEAAAAAAEF-v3_AQAA_PsG_QIAAADlBQb5-wMAAAgKBAIEAAAACPUI_wUAAAAOA_j__gEAAP38CQQD_wAADgAH-_8AAAD5-vADAAAAAO0C8AIAAAAAAPb0_wAAAAAgAC3ZbeQ7OBNACUhOUAIqcxAAGmARGwAeEAj59xIy7vwLDhcB-gnp3tLyABgXAAMbBPcSLfzYJt4AHdj_5soAAAAH2w0C7QDvSPzS4vL7OvHlBwoyB3_r8PEcJfUB1z7X9vP5B_gjIzoA3v35CSEU-f_Q9QYgAC12yGQ7OBNACUhvUAIqrwYQDBqgBgAAAMEAAKBAAADoQgAAwMEAAKBAAABAwAAAqEEAAMjBAAC4wQAAAEEAABBBAAAYQgAAdMIAADBBAABUQgAAgD8AAGBBAACIwgAADEIAAMDBAACgQAAAUMEAAGjCAABgQgAADEIAABzCAACIwQAAHMIAAABCAABsQgAAYEEAAHxCAABEwgAAEEIAAMBAAACAPwAAAEEAALpCAADYwQAAoEEAAABCAAAEwgAAQMAAAKDBAADYQQAAwMEAAIC_AAAgQQAA0EEAAODAAAAwQQAAgMIAAAxCAACAPwAAcEEAAFBBAABEwgAAqMEAABjCAACgwQAAVEIAAIhBAABswgAAAMEAAJBBAACYQQAA8EEAACzCAAAgwQAAEMEAAHBCAADoQQAAoMEAANBCAAD4wQAA3MIAAMDAAABQwQAA4MAAANjBAADQwQAAAEIAAAAAAAAwQgAAyEEAALZCAACIwgAAqEEAANhBAACAPwAAIEEAAMBAAAAAAAAAQMIAAHDCAAA0wgAAwEAAAHDBAAA4QgAALEIAALjBAAD4QgAAkEEAAODCAACkwgAAoEEAAIBBAACQQQAA4MEAAChCAACAQgAACEIAAKDBAAAQwQAAykIAABxCAAAAQAAAZMIAAIA_AADwwQAANEIAAGDBAABAwAAASMIAAIJCAACAQAAAVMIAAFTCAADAwQAAgMEAAFBBAADQwQAAFMIAAChCAAAAQAAAjsIAAADBAAAgQQAAfMIAAIbCAAAEQgAA6EEAAMDBAADAwAAAJEIAAAAAAABAwAAAgL8AALjBAADQQQAAAAAAAABBAACgQAAAlsIAAJhBAACQQgAAPMIAAHDBAACQwQAAqEIAAATCAAD4QQAAEEEAABTCAAAQQgAABEIAAIxCAADAQQAAXEIAAIjBAACwwgAAUMEAAMDBAACAwQAAWMIAAOhBAAAwQQAAgMAAAIDBAACwQgAA6MEAAEDCAADwwQAANEIAAIBBAAB8wgAATMIAAIDAAACAwAAAFMIAAEDCAAAEQgAAQEAAAIA_AADgQQAAAEEAADDBAACYQQAAIMIAAITCIAA4E0AJSHVQASqPAhAAGoACAABsvgAAQLwAAII-AABwvQAA4DwAAFA9AADIPQAANb8AAOi9AABsPgAATD4AAEA8AAAUPgAAZD4AAAQ-AADgvAAAHD4AAIA7AADCPgAAkj4AAH8_AAAQPQAAxj4AALg9AACovQAADL4AAOA8AADgPAAAhj4AAM4-AAAUPgAATL4AAIq-AAAwvQAAoDwAANg9AABEPgAAHL4AAAy-AAB0vgAAFD4AAES-AACWPgAAMD0AAIC7AAAUPgAAQDwAACS-AAAMvgAA9r4AAOA8AABEvgAAhj4AABy-AACgPAAABD4AAGE_AADOvgAAQLwAAMi9AACgvAAAuD0AAJg9AAAsviAAOBNACUh8UAEqjwIQARqAAgAA4LwAADA9AABAvAAAD78AAPg9AABQvQAAJL4AAAy-AADgvAAA6D0AAIi9AAAcvgAALD4AAKK-AABAvAAAUL0AAHA9AABFPwAAED0AAEQ-AAAQPQAADD4AAFw-AAAwvQAABL4AAKg9AACgPAAABD4AAPg9AABQPQAADD4AACQ-AABEvgAAmD0AAJi9AADgvAAA2j4AABQ-AADCvgAAVL4AAIg9AADgPAAADL4AAMg9AACAuwAAZD4AAH-_AAD4vQAA6L0AAFw-AABAPAAAUL0AAIg9AAAMPgAAyD0AADA9AABwPQAAcD0AAKA8AAC4PQAAqD0AAKg9AADgPAAAPL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=eqRGPWlrtmw","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8472598123700062076"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17014531750395676148":{"videoId":"17014531750395676148","docid":"34-1-2-Z59EF1358CA4316CF","description":"To try everything Brilliant has to offer—free—for a full 30 days, visit https://brilliant.org/AbideByReason/ . You’ll also get 20% off an annual premium subscription. What is a Hilbert Space?","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1640907/01f7210ef0985f24a4094a6a007fd41f/564x318_1"},"target":"_self","position":"1","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFFPXm-tuOt8","linkTemplate":"/video/preview/17014531750395676148?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is a Hilbert Space?","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FFPXm-tuOt8\",\"src\":\"serp\",\"rvb\":\"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_wSCBCQBgAQrKosBEAEaeIH-__j_-wYA7gMCDAcD_gDtCA4B_P7-AO4C_AQAAAAA_QL5AwYAAAD0_QP9BgAAAO0F_PwCAQAACAoEAgQAAAAI9wT5_gAAAA4D-P_-AQAA_fwJBAP_AAAOAAf7_wAAAPn68AMAAAAA7QLwAgAAAAAA9vT_AAAAACAALdlt5Ds4E0AJSE5QAipzEAAaYAkYACYX_gPyBy_g7P4SFgMCEufn3_YAExgAAhMT8gco_M4y5wAh2gPlygAAAArVBwPwAPNOAMrjAgIj8dYA_SYJf_fp6REe6ADWLN748vwM7jI1VADmEOwTHxLoE-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_AAAEQgAAcEEAAODAAABQQQAAJEIAAOBBAACwwQAA4EAAAAxCAACQwQAAmEIAAOhBAAAQwgAAuMEAABTCAACwQQAAisIAAIC_AADgwAAAVMIAAJjBAABAQQAA4EAAANhBAABwQgAAwMAAAKjBAACAwQAACEIAAHzCAACcwgAAAMAAAEDAAAAkwgAAFMIAAFxCAABIwgAA-MEAAEjCAADQQQAAvEIAAMhBAABAwgAAAEAAACBBAACAvwAAwMEAAFBBAACYQQAAAEAAAIrCAAAwQgAAFEIAAIDAAAAAQQAAoMAgADgTQAlIdVABKo8CEAAagAIAAFy-AAAEvgAALD4AAIC7AAC4vQAA6D0AAIg9AAAbvwAAdL4AALg9AABkPgAAqL0AAIo-AABcPgAAqD0AAOi9AABcPgAA2D0AAO4-AAC2PgAAez8AADA9AACuPgAAXD4AABy-AAD4vQAA4DwAAMg9AAAUPgAApj4AAEQ-AABUvgAAor4AAIA7AACovQAAkj4AABQ-AAA0vgAABL4AAGS-AAC4PQAApr4AAFw-AACAOwAAgDsAAFQ-AADovQAAQLwAAAS-AADKvgAAoDwAABy-AACqPgAA-L0AAJg9AADYPQAAfz8AAFS-AACAOwAAoLwAALi9AACYPQAAgDsAAEA8IAA4E0AJSHxQASqPAhABGoACAACIvQAAyD0AAEA8AAAhvwAALD4AADC9AAAMvgAAyL0AAKA8AADYPQAAcL0AAEy-AADYPQAApr4AALi9AACgvAAAgDsAAFE_AACYPQAADD4AALg9AACIPQAAyj4AANi9AAAsvgAA2D0AAAy-AABMPgAABD4AAEC8AAAkPgAAPD4AAIq-AADIPQAAML0AACS-AAAXPwAAED0AANK-AAB0vgAAFD4AABA9AABkvgAAuD0AAIC7AAC-PgAAf78AAES-AACIvQAAlj4AAEC8AACAuwAAED0AAGw-AAAcPgAAcD0AAOA8AABQvQAAyD0AABA9AACoPQAAoDwAAIi9AABkviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=FFPXm-tuOt8","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["17014531750395676148"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1588258044894937277":{"videoId":"1588258044894937277","docid":"34-1-11-Z36BF0F6E71A67EA2","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/214595/a50ccef69d8809e91c4d820c3932ecbf/564x318_1"},"target":"_self","position":"2","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DEA_cfDOWCBs","linkTemplate":"/video/preview/1588258044894937277?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 2 | Examples of Hilbert Spaces","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=EA_cfDOWCBs\",\"src\":\"serp\",\"rvb\":\"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-wIE_QMABgT-DvkL-wP2A_34-f39AO0C_AQAAAAA_vjxBfkAAAD8-wb8AgAAAPP6_vYBAAAAAPoEBgMAAAAJ9Qj_BQAAAAYD9gH_AQAA8wQK8gIAAAAJ9woCAAAAAP7v8wX_AP8B9fjzCQAAAAAA9fT_AAAAACAALUh53Ts4E0AJSE5QAipzEAAaYAAWABoMDwTiCS7t7P8R_vn8CPP21f0AEwkA__z68xMY_O0P4wAX3Qb31wAAABD9BwMPAO40EuTa9BQk_ef7CRsGf-oB4xMI9PzpKfPu_RMc6RYFMQDy8_8CExn5CufzESAALXQIjzs4E0AJSG9QAiqvBhAMGqAGAAAgQQAAksIAAGxCAADgwAAA2EEAABDCAACuQgAAIMEAAFDCAADIwQAAIEEAAHzCAADAwAAAcMEAAAxCAABwwQAABEIAAAAAAABQQgAAgD8AADBBAAAowgAA2MEAABRCAACOwgAAXEIAAEDBAACwwQAAiEEAAHDBAACgQAAAEEIAAGDBAAAAwgAANMIAAMBAAAD4QQAAiEIAAMBAAABAwQAAAMAAANBBAACaQgAAJMIAAHBBAAAwwgAANEIAAARCAACwQQAAiMEAAAAAAABcwgAAoEAAAIA_AAAIQgAAgMAAAADBAADgQAAAQEEAAKBCAAB0QgAAssIAANDBAACqwgAAUEEAAGzCAABkwgAAKMIAAETCAACCwgAAPEIAADBBAACGwgAA2EEAAIC_AACuwgAALMIAAIDAAACwwQAAMEEAAARCAACmQgAAcMEAALhBAADYQQAA0EEAABhCAACSQgAAcEEAAIrCAABgwgAA0EIAACzCAAAAwQAABEIAAJrCAAAMwgAAlkIAAJhCAAAoQgAAUMEAALBBAADgwAAAYMEAAPDBAAAAwAAAgD8AAIBBAACgwQAAikIAACRCAADYQQAAFMIAAIA_AACYwQAAJEIAADxCAAA0wgAAAMEAAETCAACQwQAAisIAAEjCAADgwAAAcEEAAHjCAACYwQAAoMAAAMDAAACgQQAAkMEAAKBAAAB8wgAAFEIAAITCAAAsQgAASEIAAGzCAABAwQAAJMIAABBCAAAAwgAAcEEAANDBAACUQgAAoEAAAFDBAAAkQgAA4EEAAIhBAACKwgAACEIAADhCAACAPwAAVEIAAIBBAABYwgAAWMIAAPDBAABMQgAAgMAAACDBAADgwQAAEMIAAEBBAADYQQAAAEAAAKpCAADgQQAAEEEAAIDAAABQQQAAQEAAANDBAACIwQAAwMAAAJjCAACGwgAAgEEAAMDAAACSwgAAqMEAAATCAAAgQgAA-EEAAMjBAACAwAAAMMEAAJDBAACgwAAAcMEAAFDCAAAYQgAAQMEAAGBBAAB4QgAATEIAAOBAAAAQQQAABEIgADgTQAlIdVABKo8CEAAagAIAAHS-AADovQAA4DwAAAS-AAAUvgAAcD0AAHQ-AABXvwAAVD4AAGw-AAD-PgAAED0AAEA8AAAZPwAAJD4AAAS-AAC-PgAAEL0AABQ-AAD-PgAAfz8AABA9AADIvQAA5j4AAFy-AABAvAAAMD0AAJ6-AABwPQAAVD4AAPg9AABMvgAAmr4AADS-AACePgAABD4AAEQ-AAAMPgAA4r4AAAm_AACAOwAAgLsAALI-AAAsPgAAcL0AAAy-AAAMPgAAC78AAOC8AAATvwAAML0AAJq-AABBPwAAgDsAAJq-AACIPQAAbz8AAHy-AABAvAAAmj4AABw-AADoPQAAmD0AAI4-IAA4E0AJSHxQASqPAhABGoACAADYvQAAqL0AALo-AABBvwAAcD0AAHA9AABsvgAAcD0AAHC9AACCPgAA-D0AAHC9AAA8PgAAfL4AAN6-AAAwPQAAFD4AAH8_AACCPgAAQDwAAJg9AAAQvQAAzj4AAEC8AAAkvgAAUD0AANg9AADOPgAAxj4AAKg9AABEPgAAFD4AAN6-AAAEPgAAUD0AAFC9AAAtPwAAiD0AAN6-AACWvgAAZD4AAMi9AADWvgAAmD0AAFA9AACiPgAAbb8AADA9AABwvQAABT8AAIA7AAA0PgAABD4AAIo-AAC4vQAAUD0AAIC7AACiPgAAPD4AALK-AAB8PgAAML0AABC9AACCviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=EA_cfDOWCBs","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["1588258044894937277"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"17502051696049876449":{"videoId":"17502051696049876449","docid":"34-7-3-ZB47A63A8DC6894C0","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/985951/c2e5f55089ffe03ba53b301aafa76835/564x318_1"},"target":"_self","position":"4","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1LhsIH03hqU","linkTemplate":"/video/preview/17502051696049876449?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 2 | Examples of Hilbert Spaces [dark version]","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1LhsIH03hqU\",\"src\":\"serp\",\"rvb\":\"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_AQAGBP4O-Qv7A_gMAPr4_f0A5vn7Cvj9AQD--PAF-QEAAPf7_QL-AAAA8vr-9gEAAAAI_wQEBAAAAAn3BPn-AAAABgP2Af8BAAAABQj4A_8AAAv2AQcAAAAA_e7yBf8A_wH1-PMJAAAAAAD19P4AAAAAIAAtW0nXOzgTQAlITlACKnMQABpgBRkAGggQAeAINevv_xD8_fYE6fPU-AAcBAD7_f37ERT76RPhABrWDfbSAAAAFv8ABgYA5zwP3tcADCYG3gILGgl_5gDrFxD0--sp8eMBHhfpGQgyAN_w-gEYG_YV3_cIIAAtVYuEOzgTQAlIb1ACKq8GEAwaoAYAAABBAAAUwgAAREIAAMDAAACwQQAAmMEAALhCAAAwwQAAosIAAADCAACIQQAALMIAAAAAAAAMwgAAyEEAAABBAADoQQAAAMAAAMBBAACAvwAAcEEAAODBAADQwQAAyEEAAFjCAABkQgAALMIAAEBBAAA8QgAAQEEAAATCAADYwQAAqMEAAKhBAAAYwgAAcMEAACxCAAAcQgAAPEIAAIC_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-MEAAEDAAAAAQgAAYMIAAGhCAADAQAAAAEEAAIhCAADYQQAAyEEAAEzCAACwQSAAOBNACUh1UAEqjwIQABqAAgAABL4AANi9AAAMPgAAHL4AAAy-AAC4PQAATD4AADe_AABcPgAAkj4AADM_AAAQPQAAQLwAAA8_AABsPgAAJL4AAM4-AACIvQAAij4AAPo-AAB_PwAAuD0AACy-AAD-PgAAnr4AADC9AACAuwAAsr4AAFA9AAB8PgAAUD0AALi9AACGvgAAiL0AANo-AAAQPQAADD4AABQ-AAALvwAA8r4AACS-AAAwvQAAhj4AABQ-AADIvQAAyL0AAPg9AADGvgAAmD0AAAm_AACAuwAAqr4AAEU_AADIPQAAwr4AAFA9AAB7PwAAgr4AAFA9AAA0PgAAPD4AALi9AAAQPQAAyj4gADgTQAlIfFABKo8CEAEagAIAAHC9AAAcvgAAmj4AAEm_AADgPAAA4DwAALq-AAAwPQAAyL0AAOg9AABwPQAAFL4AABw-AAC-vgAAor4AAOA8AAA0PgAAfz8AAFQ-AACAuwAAgLsAAHC9AAC-PgAA4LwAAIi9AAAEPgAAoLwAAK4-AACyPgAA4DwAAEw-AAAEPgAAor4AAMg9AABcPgAA4LwAACE_AADIPQAA6r4AAJa-AABsPgAAEL0AAPq-AABQPQAA2L0AABQ-AABtvwAA4DwAABy-AADWPgAAQDwAAIC7AABAvAAAmj4AABC9AACgPAAAgLsAAMY-AACgPAAAmr4AAHw-AAAQPQAAuD0AAHS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=1LhsIH03hqU","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["17502051696049876449"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"854901642552879818":{"videoId":"854901642552879818","docid":"34-0-2-ZD72388CA0BF1CA63","description":"A quick look at the life and work of David Hilbert, one of the foremost mathematicians of the late nineteenth and early twentieth centuries. My other YouTube channels: The Science Fiction Rock...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3371295/915966907781e49af3faae3d0ac4611c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/cusuGAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DG13nHzYpLmc","linkTemplate":"/video/preview/854901642552879818?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"David Hilbert","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=G13nHzYpLmc\",\"src\":\"serp\",\"rvb\":\"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_wMBQf8Ad0SAv_8AQEA-v4B-QQD_wD5-PcBAgAAAPoC-_4GAAAA7gcF_vsBAAANAwH-BAAAABYE_P0DAAAACfoDA_8BAAAB__8D7QQAAQgFBAEAAAAA-_f5CAIAAAD1-PMJAAAAAArz8PwBAAAAIAAtHHLbOzgTQAlITlACKoQCEAAa8AF_9AMCzvn1_wX25ADp--oAxgEJAC4VAv_hEQ8AvQ_W_zMV6AED6wb_ABr2_9vl8ADm3-cABP32AAn6AABKEhH_6REvAPnvCQAZDyQBEv8W__E2Hv4ACvX_-fX4AfgjGv4Y9wP-GOkFARwO_AAp4w4B_xURBOvs2wIkNAD-GfQsAdzo9__wFvn-6c4Q_wYSDADjFvf9_xUQ_wwY-P0hFecBAAEYAR329QAkCt8CHOYK_er4AfoJ6u4BAwcJAu4S-wTj6Af47skMA_sEBwAg7fkA-v4LBQgM8fr0GgoMGA72BQ0QCPzn-v37FfcDDujd-PsgAC08W0E7OBNACUhhUAIqzwcQABrAB2KEAL_9cwe9wjABPHdRDz38AZo9JDMPvM3Aor0zJhO9lD8pPD1DeL1V37k8Q_SFvYv7z71urpA8nVPiu8Zrpj7IqlI86ZctvNlDS75DknY7KX-CvedWeL4CWsS8eFIRuoUruzzj97s9eH8cvc5uTb382t-8pZmDPfdWtD1koCE9MpkgvQ1BxDwecBi93_5cvH0ANz37XA29dT-nOiDrCT7Fbdm8qpk1vCG_yLzF_wC7Id2ZPPEPe72-Ghs9dNi3uh3owT2G_H656kmPPB7fXj0t8ds80XJFPDdPNb6pIqY8aKewu2ST3D3R1Ja9R2cLvJV_LT4uZtU8P_2MPF-Tur1qZz28sKXsvIRL5z1RNkC8eU1ZvD-ikzxAsk-9VL97O5rHCrtYk4K9rvWFvN3Uiz0oa089Cl6ZvBdc_byUPC09X-HuOwSs1Twzopk89PNLPDTO8Lz_A-w9IKr8uyNlMDyuWbi9kIiEPNl4MLyF7SO7S502vDKaK72AT5K9jOGFvF3rXjvzaZ-9vBgxO0UZkD1R1_s7dkSuu9fqPLzCHBi95EWuOw_wlD3gMFG88sPSO9BjFL2p3LQ9JfRpvIxMwDwgMlu9uUgMPHzbx73vVAC-5Rcxu57-vTwZDOS8CKABvBpVAb2LgR89dSwlvGkjrjtk2zO8-jwQu7IS872WMXS9-lmrOdW8eT2bffo5gtA0O7qenT3Te9M7eTWKOr6BTj2lWlU8aWFku5YVeT1f0e28yn9UOn16xzz684g8trcdu2sVmLzbPyU9G_LPuRZ2Bz2RtMC8VXCHOV_sPTwrpqK9hPUkuDlYKT0I6Sm82_VpOS2lOD3MGcC8B-mMOSUFFj5D4dg8rKjYOIftnT2PgYa8wNAWuBGTC71biIQ8EP_KOCyoXrwfzo27N9cEusS-8DrZLd08hecbudI_dzwbQKQ824H7ONz1sTrM-oM8q3kxOL8gM7ysG889SQw0NUHxAz1xT8G91zh7OUE7sTyzq7U8eSFWOSkM5Ty0IX-9CoGguEfyyzw3f528JbwQuZoHED3eOMm9CDT7NhFMmryj0oM9Ix8MOO6Jj71rn6m9cmQvN5xIVT1PLZE83qmcOBzZsD1AF4281CvhN6ofRb1j0A07hAgFOPPPtz37TVI9xCwiucCkQjzfA0-8bnQluJC9fr08YU49jtOgtcpS6zxMPaa9q1pVONWU5Dy-Nqa986NNuCL_7D01KQU-835buBNpdj3en1w9b79zuG1qaju9Zw49sdTItx2TJDv3UEe8wUjENyAAOBNACUhtUAEqcxAAGmAC-QAQFgUjAAcn4qP3HgXs8vwZFOj3__sQAOch5vEXFuO_NtkA-tzU_MAAAAD85QcDIwDoVdT48O0NF9foAPgbD38V-uDGG_wNxTK75-v_AwgvM00A9vnXDjHr1OoE8B8gAC1lK0c7OBNACUhvUAIqrwYQDBqgBgAAgEAAAABBAABcQgAAkMEAAFBBAACAwQAAbEIAANjBAACAwgAAuMEAAFhCAACgQAAANMIAALDBAACoQQAAhsIAADDBAAAEwgAAkEEAAPjBAAC4wQAAbMIAAODBAAAoQgAAoEAAACxCAACYwgAAgMEAAGhCAADoQgAA6MEAAKjBAAAIwgAA8EEAACzCAACgQQAAAMAAACBCAAAAwQAAKEIAAGBBAABAQAAAWEIAAKBAAAAAQgAAgL8AAAAAAADYwQAAWEIAAFRCAACgwAAAuMEAACBBAABwQQAAkMEAAATCAADIwQAAmEEAAKhBAAAIQgAAUMEAAIC_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-AABsPgAAcD0AAHC9AACgvAAACb8AAFS-AAA0PgAAXD4AAHA9AAA8PgAA6D0AAAQ-AADYvQAADD4AAIA7AAAMPgAAqj4AAH8_AABQvQAAyD0AALg9AAAMPgAAML0AAIA7AACYvQAA-D0AAIY-AADIPQAAgDsAAMi9AAAMPgAAkj4AANg9AACYvQAAPL4AADy-AADIvQAAFL4AAKi9AACiPgAAmL0AAEy-AACAOwAAFD4AADA9AABsvgAATL4AAAS-AADYvQAATD4AAIC7AAAUvgAAcD0AAB8_AAAsvgAAuD0AAIA7AAAEPgAADD4AAAQ-AABAPCAAOBNACUh8UAEqjwIQARqAAgAAgDsAAKg9AACAuwAAGb8AALg9AACgPAAAbL4AAOg9AACYvQAAVD4AABS-AABMvgAAZD4AAEy-AAB0vgAAUL0AAIA7AABPPwAAgLsAABw-AABAvAAAgDsAAJI-AAC4vQAAmL0AABA9AAAwPQAADD4AABQ-AAA0PgAAHD4AAKg9AABcvgAAbD4AAEy-AAB8vgAAqj4AAIg9AAB0vgAAEL0AADQ-AADovQAANL4AAIg9AAAEvgAAND4AAH-_AABAPAAAVL4AAJ4-AABwPQAAoLwAACQ-AAAcPgAAUD0AAOA8AACAuwAA-D0AAOC8AAAwvQAAED0AAKC8AAAsvgAAqr4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=G13nHzYpLmc","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["854901642552879818"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"846870332"},"10573762856221210305":{"videoId":"10573762856221210305","docid":"34-7-3-ZF172B2A5E4DEFABA","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/751111/f4c93b240dc561eb2cce616cb715a526/564x318_1"},"target":"_self","position":"7","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNZtVt-leNIQ","linkTemplate":"/video/preview/10573762856221210305?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 3 | Polarization Identity","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NZtVt-leNIQ\",\"src\":\"serp\",\"rvb\":\"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_ff_AQAK9wQN-gz7A_4L-PL3_v4A4Q72BAP8AgAE-wEGAQEAAAb4FgMCAAAA-PsD_wP-AAD8BwEA7wD_AAz6AAABAAAAAgv3Bv4BAAD4AfwBA_8AABf7_P4AAAAABfb6BQIAAAHx_PgAAAAAAAD19P4AAAAAIAAtzGbWOzgTQAlITlACKnMQABpgABMAJA8R9-IIK_kB_RYN-_gR8grV-wAUBwD9__jqCxT03PToACXkEPTQAAAAGPL0DwAA7jsF6NrnCy_9z-MBDQ5_2wfrEw8E_ewT3vkXCRT1Cf86ANrr-gMJHuMP7fgXIAAtR0WEOzgTQAlIb1ACKq8GEAwaoAYAAOBBAADgwAAAZEIAACzCAAAQQgAAoMAAAMJCAADgwAAAkMEAAKDAAADwQQAAEMEAAPjBAAAsQgAA8EEAAHBBAABQQgAAWMIAACxCAADAwQAAEEEAAPDBAABAwQAA4EEAACDBAADgQQAAmEEAAAAAAAAwwQAAAAAAABBBAAAUQgAASMIAAKDBAAAAwgAAwMAAAFxCAACQQgAAUMEAAEBBAABAwAAAmkIAALpCAADgwAAAwEEAAIrCAACSQgAA4EAAAGxCAADYQQAAAEEAABDCAADAQAAAoMAAAHBBAACwQQAAoEEAAEDAAAAQQgAA8EEAAIA_AABEwgAAGMIAAGTCAACoQQAABMIAAEjCAABEwgAAmMEAADDBAAAoQgAAEEIAAILCAAAcQgAAoEEAADjCAACqwgAAIEEAAIDAAAAQwQAARMIAAKRCAAAAwgAAkEEAAMBAAAAAQAAAQEIAAOBBAACkQgAAjMIAAMDAAAC2QgAAOMIAAIDBAAAAwQAAeMIAAKDAAABwQQAAoEIAAGxCAAA8wgAASEIAADBBAACAwQAAiMIAAIBBAAA4wgAA4EAAABBBAAA4QgAAqEEAAExCAADAwQAAikIAABzCAAAcQgAAREIAAETCAAB8wgAALMIAAFjCAACGwgAAAMIAAIA_AADIwQAABMIAAFDBAAAwwQAAHMIAAHRCAACAvwAAUMEAACTCAAB8QgAASMIAAIC_AADYQQAAQEEAAEzCAAA8wgAAYEEAABDCAADgwAAAAMIAABhCAABAQQAAiMEAADBBAACIwQAAQEEAACTCAADgwAAAuEEAACDBAABAQgAAAAAAADzCAABQwgAAusIAAMhBAACAwgAAYMEAAHDBAACAwgAAgMAAACRCAADgQAAAjkIAAJhBAAD4QQAAVEIAAAjCAAA8wgAA-MEAAEzCAACQwQAAPMIAAEjCAAAgwgAAgMEAAHjCAADIwQAAyMEAAMRCAABwQgAAMMIAAJDBAAAwwgAAUMEAAFBBAABwwQAA4EEAALhCAACowQAAJEIAABBBAAAcQgAAQEEAAOjBAACAwCAAOBNACUh1UAEqjwIQABqAAgAAqr4AADy-AABAvAAADD4AABC9AACgPAAAQDwAACe_AADYPQAADL4AAEQ-AACSPgAAij4AAII-AABUPgAAfL4AAK4-AAB0PgAAdL4AAOI-AABdPwAAUL0AABA9AAD4PQAA-L0AAIq-AACYPQAABL4AAMg9AACIPQAApj4AAAS-AABAPAAABL4AAJg9AACuPgAAqD0AALg9AAC-vgAAD78AAIC7AAAsvgAAcD0AADy-AABEPgAAgLsAAPg9AAALvwAA-L0AAOK-AADIPQAALL4AAKY-AAAsvgAAC78AAEA8AAB_PwAAED0AANg9AACOPgAATD4AALq-AABwPQAA6L0gADgTQAlIfFABKo8CEAEagAIAAIa-AAD4PQAAZD4AAE2_AADoPQAAuD0AAOi9AABwvQAAyL0AAHw-AABUPgAAQLwAAOA8AAAkvgAAVL4AAHA9AACgPAAAfz8AADw-AAAcPgAAqD0AAHy-AAC-PgAAJL4AAJa-AADgvAAAQLwAACQ-AABEPgAAuD0AADQ-AAAQvQAAJL4AALg9AAB8PgAAoLwAAHC9AACYvQAAjr4AANi9AAAcPgAAEL0AAIC7AADYvQAAir4AAAE_AABtvwAA2L0AAKC8AADgPAAAmD0AAPg9AACyPgAAZD4AAEC8AABAPAAAoDwAACw-AAAsPgAAur4AABC9AABUvgAA-L0AADC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NZtVt-leNIQ","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["10573762856221210305"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4796618407072149250":{"videoId":"4796618407072149250","docid":"34-4-10-Z4EA8B3CD59917920","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4105136/3d355f17e6bf6cc797721c5536942144/564x318_1"},"target":"_self","position":"8","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DYfILVITvb-c","linkTemplate":"/video/preview/4796618407072149250?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 7 | Approximation Formula","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=YfILVITvb-c\",\"src\":\"serp\",\"rvb\":\"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_Qf-Af8A7_4ABfgD_wEKCf_39gAAAPH68gT4Af8A-Pr_BQUAAADxBgECCQAAAPQD_vsEAAAA9QQKDgQAAAAN9ggC-wAAAP0K-vf_AQAA_f8CBgT_AAAU9g_9_wAAAPvy9Pn_AP8B9AX2BQAAAAD-7gP4AAAAACAALU7U0js4E0AJSE5QAipzEAAaYP8TABMLFfPjCC399wUDB_j5B-j77v4ADxIADgL-4xYL9fIV6AAd8AX32AAAAAr2BAkCAOwv_O3b9P8hB-HuCiIHf_v26gwA_PntFPHqDhUj8wwMJADk8wUGCB7wD_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-MEAAAAAAACAPwAAUMEAAGzCAADQwQAAQEAAABDBAAAwQgAAEMIAACBBAABEwgAAgEIAAETCAAAgQQAACEIAAADBAAAswgAAMMIAAAhCAAAowgAAEEEAAGDBAAAwwQAAwMAAAKjBAAAgwgAAXEIAANhBAAA8wgAAQEIAABBBAADQwQAAoEAAAABBAAAQwgAAkMEAANrCAACAPwAAYMIAAPBBAAAgQQAAEMIAAJDBAAA0QgAAAEIAAIBCAAAsQgAA4EAAABBBAADYQQAAcMEAAHTCAABwwgAAoMEAAAzCAAAkwgAAsMEAAHBBAADQwQAAHMIAAMhBAABQQQAAbEIAALjBAACgwAAATMIAAEBAAAAAwAAAZMIAABTCAABYQgAA6MEAAKhBAACYQQAAgEEAAIA_AAAAwQAATMIgADgTQAlIdVABKo8CEAAagAIAAFy-AADovQAAML0AAOC8AABkvgAATD4AAJ4-AAAbvwAAEL0AAOA8AAAUPgAAND4AABC9AAADPwAAEL0AAFS-AAD2PgAAgDsAADQ-AAAHPwAAfz8AADA9AABEPgAA5j4AAHA9AACAOwAAiD0AAPi9AAA8PgAA4DwAANg9AACSvgAAED0AAKa-AAC-PgAAJD4AALY-AABQvQAA2r4AABe_AACovQAA-L0AAJY-AADYPQAABL4AAMi9AAA8PgAA5r4AAMi9AACKvgAAoDwAAGy-AACOPgAAiL0AAI6-AACYPQAAST8AAHC9AABMPgAA-D0AAKC8AAAsPgAAPD4AACw-IAA4E0AJSHxQASqPAhABGoACAAAcvgAAcD0AAKg9AAATvwAAHD4AAAQ-AAAQvQAAiL0AAEC8AABMPgAAoDwAABy-AAAMPgAAyL0AAOC8AACAuwAADD4AAFs_AABQvQAAZD4AAFw-AAA0vgAAkj4AAMi9AADYPQAAUD0AAOA8AAAcPgAA6D0AACw-AAC4PQAA-D0AAJK-AADgPAAAUD0AALi9AADIPQAA-D0AAIK-AACKvgAAdD4AAEA8AAA0PgAA-L0AALg9AAAMPgAAf78AAIg9AADgvAAABD4AAEA8AABQPQAAgLsAAEQ-AACIvQAAiD0AAKA8AAAUPgAAoLwAADA9AAC4PQAAbL4AAHA9AADIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=YfILVITvb-c","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["4796618407072149250"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"18440070941439230571":{"videoId":"18440070941439230571","docid":"34-9-9-ZF9E594CBE6ABF65C","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1385328/23eb3aca9ef9c67e19d2d7c4151513d8/564x318_1"},"target":"_self","position":"9","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D61Q4dzSPqos","linkTemplate":"/video/preview/18440070941439230571?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 15 | Existence of ONB","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=61Q4dzSPqos\",\"src\":\"serp\",\"rvb\":\"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_gL-AgAGBP4O-Qv7A_gMAPr5_f0A2gH2__r5AwDy-PcG-wAAAAH8-P__AAAA7PYH9AABAAAD-_wCBAAAABzwAgH7AAAA_wjy_f8BAAD4Cv78AwAAAAz9BAD_AAAABvbw_v___wH6AvMNAAAAAAL39PMAAAAAIAAtbrLaOzgTQAlITlACKnMQABpgBxcAEgYRAtoOKe_z-RIB9gD87PjT-gASCQABBfDmBBH74hjmACXoA_3UAAAAFAwACg0A7jsP8uL4AC8B4PsLHhV_6_LaFhHx_O4g8eoBCB3jCBg3AOj6-gATEOsW5ewMIAAtes-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-EEAAADBAACgQAAABMIAAGDBAABwwgAAisIAALBBAAB8wgAAIMEAACDBAAAwwgAAgEAAAKhBAADgwAAAskIAAABCAAAwQQAAQEEAAOBAAABAwQAAgMEAANjBAACAvwAARMIAAOjBAAC4QQAA4EAAAHjCAADYwQAAUMEAAIBBAAAsQgAAQMIAAAzCAAAswgAAgEAAAOBAAABAQAAA6MEAAKJCAABwwQAAHEIAAOhBAABwwQAAEEEAACDCAAD4wSAAOBNACUh1UAEqjwIQABqAAgAAbL4AAPg9AABEPgAAjj4AAJI-AADaPgAAQLwAACW_AADYvQAAVD4AAAs_AACoPQAAVD4AAJI-AACmPgAA0r4AAKC8AAAkPgAA2L0AALY-AAB_PwAABD4AAAw-AACKPgAAjj4AAJq-AABAPAAAUD0AAII-AADyPgAAXD4AAIA7AADoPQAAPD4AADQ-AACGPgAAyD0AAIa-AAArvwAAsr4AAII-AACuvgAAuj4AADA9AADoPQAAmD0AABS-AAALvwAAFL4AAAu_AAAwPQAABD4AAPY-AADovQAALb8AALg9AADyPgAAMD0AAEQ-AABcPgAA4LwAADA9AAB0PgAATL4gADgTQAlIfFABKo8CEAEagAIAAEy-AAAQPQAAoj4AAEu_AAAMPgAABL4AAL6-AADIvQAABL4AAFw-AADgPAAAJL4AAEC8AACSvgAATL4AAOA8AAC4PQAAfz8AAAQ-AAAwPQAAVD4AAJi9AABUPgAAoDwAAOC8AABAPAAAJL4AAJY-AADYPQAAuD0AAAw-AAAcPgAA4LwAAIo-AAA0PgAAML0AAN4-AACgvAAAnr4AAKa-AAA8PgAA-L0AANq-AAD4vQAAiL0AAPg9AAB7vwAAQDwAADy-AAD4PQAAML0AAPg9AAAcPgAAqj4AAOq-AACoPQAAEL0AANI-AABkPgAAHL4AALg9AAAsvgAAUL0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=61Q4dzSPqos","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["18440070941439230571"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12023761439975888900":{"videoId":"12023761439975888900","docid":"34-9-2-ZB6C0A054BAA9A642","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4293551/65fd618c4730e74692a8b51f3bce7b83/564x318_1"},"target":"_self","position":"10","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dkm_eziIGSD0","linkTemplate":"/video/preview/12023761439975888900?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 6 | Orthogonal Complement","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=km_eziIGSD0\",\"src\":\"serp\",\"rvb\":\"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_wDwCAYK9wX-AQEM7v_2_v0A7QcHAAL_AAD3AfgM-gAAAPoFCgMJAAAA8vr-9gIAAAAP-wkEBAAAABHo_Ab_AAAA_wjx_f8BAADxCPryAgAAAAX-AwQAAAAA_e7yBf8A_wH6-Oz7AAAAAATkAf8BAAAAIAAtm6rROzgTQAlITlACKnMQABpgBBYAIv4h-uMHH_bw_hoI-fcZAQHU9AAUEQACBPfdFQ315g_sABfbAPvTAAAAFQH_DfkA7Tn37tEECxv_4PAKIwR_6gPdAf3y9-Un7QYCCxvzIAwYAN329OwfMfQW7A4dIAAt00iHOzgTQAlIb1ACKq8GEAwaoAYAADBBAAAowgAA6EEAAATCAAB8QgAAgD8AAFBCAACgQAAALMIAAEjCAAC4wQAABMIAAERCAABAQAAAgMEAABDBAABwQQAASMIAAOBAAAAwwQAAAMAAAFDCAABgwQAAYEIAABjCAACAvwAAgMAAAIhBAABwQQAA-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_AAB8QgAAAEEAAABAAACMwgAABEIAABjCAADAwQAABMIAAAhCAADAwAAAmMEAAIDAAAB4QgAAIEIAAIA_AAAAAAAAgEAAAIjBAACQQQAAcEEAAPDBAABAQAAAUMIAAJhBAACGwgAAwEAAAIC_AAA8wgAAoEAAAHhCAABsQgAAOEIAAKBBAABwwQAAuEEAAIDAAACCwgAAwMEAAFzCAAAAwAAAiMEAADzCAAAIwgAAREIAAJzCAAAQwgAA4EAAAChCAACGQgAAgMAAAPBBAADAwAAAwMAAAFTCAABEwgAASMIAAExCAADQwQAAcMEAAKhBAAAAQAAAAEEAAGDBAACQwiAAOBNACUh1UAEqjwIQABqAAgAAJL4AAHS-AACOPgAAQDwAAOi9AAAcPgAAgj4AAA2_AABwPQAAgLsAAK4-AACAOwAAmD0AANo-AACYPQAAoLwAAN4-AABQvQAADD4AAL4-AAB_PwAAUL0AAMg9AACePgAA4LwAAGS-AAAEPgAADL4AAEy-AACoPQAA-D0AAAS-AABkvgAAcD0AAJg9AAB0PgAAmj4AACy-AABFvwAA_r4AAJq-AABQPQAAoj4AAFw-AAA8PgAAhr4AANg9AAD2vgAAgLsAAAO_AACWvgAAVL4AAAk_AADgPAAA-r4AAEA8AAAvPwAAiL0AAOA8AADCPgAAuD0AADw-AADgPAAAZD4gADgTQAlIfFABKo8CEAEagAIAAAS-AABEPgAAtj4AAB-_AACWPgAAoDwAAIC7AABkvgAAoDwAAMI-AACSPgAAiD0AADQ-AACqvgAAVL4AAOA8AACoPQAAfz8AAGQ-AAB0PgAAcL0AALi9AACKPgAA2L0AAOi9AADgvAAAdD4AAKI-AAAEPgAAED0AADQ-AAAMPgAAvr4AAGw-AACIPQAAmL0AAAw-AABUPgAA1r4AADy-AABkPgAA4LwAABy-AABwvQAAyL0AAFQ-AAB_vwAAmL0AAJg9AACWPgAAgLsAAAw-AADIPQAAmD0AAIg9AABAPAAAgDsAAMg9AADYvQAARL4AADC9AAA8vgAAED0AAFC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=km_eziIGSD0","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["12023761439975888900"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6495862107644088712":{"videoId":"6495862107644088712","docid":"34-8-16-ZB364F7C11C96A9B4","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2809815/b0e5e299946090abac61b3b484f79347/564x318_1"},"target":"_self","position":"11","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDbHtyjpD2bY","linkTemplate":"/video/preview/6495862107644088712?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 19 | Properties of the Adjoint [dark version]","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DbHtyjpD2bY\",\"src\":\"serp\",\"rvb\":\"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_T6CQcJ-wLvBPsJ-f7-AOIGBwL2_AIA-fT3-_gAAADwAQD7_wAAAPsD-Pv8_gAABfoOCQQAAAAT8AH7AwAAAP8I8P3_AQAABgf_AfoAAAAF9vQB_wAAAAD2_BP_AAAA9PjyCgAAAAD88fkEAAAAACAALbEdyDs4E0AJSE5QAipzEAAaYAIYABr-EfXcDEPo6_n4_g7yBez34_4AF_gA4An5BxAN8-UU6P8o4Av1zQAAABIKBxD2ANtCCuHO-Pg_CeIDDRYgf-_93hQA-QL8_f3hCBMX5iEUJwDS_fgJGRv8HPfiAyAALRxJfTs4E0AJSG9QAiqvBhAMGqAGAAAwQQAAgMEAAIhBAACYwQAAgkIAAABAAACUQgAAgEEAABTCAABQQQAAcEEAALjBAAAQwQAAMMIAAOhBAADYwQAAoEEAANDBAAAgQQAAAMIAAHDBAAAwwQAAUMIAANhBAAAUwgAA-EEAAFjCAADAQQAAVEIAABhCAADQwQAAAMIAAFDCAAAIQgAAhMIAABDBAAAwQgAA5kIAAIA_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-AADYvQAAlj4AAKi9AACYvQAALD4AAAQ-AADKvgAA2L0AAHC9AADGPgAAfD4AAAQ-AACSPgAAcD0AAKC8AAC2PgAA4LwAAAw-AACWPgAAfz8AAAQ-AAC4PQAAdD4AAI6-AABwvQAAuL0AAPi9AAAQvQAALD4AAFA9AAAkPgAAUL0AAIC7AACyPgAAlj4AAHQ-AACovQAArr4AAKa-AABkvgAA4LwAAFw-AAD4PQAAUL0AAIA7AADgvAAAFL4AAFA9AADCvgAARD4AACy-AADmPgAATD4AAM6-AAAQvQAAJz8AAEC8AACIPQAA6L0AAAS-AABUvgAAqD0AABw-IAA4E0AJSHxQASqPAhABGoACAABcvgAAML0AAEQ-AAA9vwAA-D0AAKg9AABkvgAAUL0AAOi9AAAsPgAAUL0AAIq-AADgvAAAtr4AAKi9AAAwvQAAdD4AAF0_AADoPQAAND4AAKg9AADIPQAAoj4AAIA7AACAuwAAUD0AAFC9AACWPgAAPD4AAIC7AABMPgAA-D0AAKi9AAAQvQAAbD4AAKi9AAD2PgAAVD4AALq-AADgvAAAbD4AAIC7AACCvgAA4LwAAAy-AADYPQAAf78AAOA8AAAUvgAA-j4AAOA8AAAEvgAAMD0AAJI-AAD4PQAAgDsAAOA8AACiPgAA-L0AACy-AADIPQAATD4AAIY-AACAuyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=DbHtyjpD2bY","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["6495862107644088712"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13148086720227390716":{"videoId":"13148086720227390716","docid":"34-7-14-ZBB46CA52A8636BEA","description":"A Hilbert space, named after the influential German mathematician David Hilbert, stands as a central concept in modern mathematics, particularly within the field of functional analysis. It is...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2390545/130c024f91cc4080bcf976351afa1112/564x318_1"},"target":"_self","position":"13","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuCb2TEIAzsc","linkTemplate":"/video/preview/13148086720227390716?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Understanding Hilbert Spaces","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uCb2TEIAzsc\",\"src\":\"serp\",\"rvb\":\"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-_z_EAEJ-wL4DQD6-P39AOgB-Pv5_gEAAPz4CP8BAAAC_QD4AgAAAOr99vT9AQAADQIJDwQAAAAR8QH8AwAAAAMA-P32-_0D9foG-QIAAAAGAAkAAAAAAAf48Av_AAAB___7DQAAAAAC6fYDAQAAACAALXlV1Ts4E0AJSE5QAipzEAAaYAMMABgCIe3vChIE5w8ED_b-D-QE0fkAAfgAABflBBMa7NUM8wAbzgf3zQAAAAn9-fwNAPVC_c3jA_4U9tkKLC0Yf-X-7QEx8QvkKtfn8hQP8BwnGwDu_QL_Iv_iE9cQCyAALZEKezs4E0AJSG9QAiqvBhAMGqAGAAC4wQAAQEAAALZCAAC4wQAAAAAAACjCAAAMQgAAIMEAAKLCAACIQQAAAEIAAEBAAABcwgAAdMIAACBBAACAwAAAmMEAAOjBAACYQQAAqMEAAKDBAABQwgAAAEIAABTCAAB0QgAA0EEAADBBAABgwQAAEEEAAFRCAAAgwQAAMEEAAETCAADgwQAA8MEAAFzCAADYwQAAmkIAALBBAABoQgAA2EEAAAxCAABcQgAAoMAAAEDAAAC4wQAABEIAANjBAACWQgAAMMEAAFjCAAAEQgAABMIAAGzCAADwwQAA2MEAAOzCAACAQAAANEIAABxCAACAQQAAAEAAAJBBAACgwAAAWMIAAIjBAAA0wgAA2MEAAJDBAADgQQAAIEIAAExCAAAIwgAAYEEAADTCAACwwQAAaMIAAAAAAAAQwQAA-EEAAJzCAABIQgAAAMEAAJTCAAA0QgAAgMAAAODAAABUQgAApkIAAAxCAAAgwgAAJEIAAODAAAAAwAAAuEIAALTCAADYQQAAXEIAAJjBAACCwgAAIMIAAGBBAADgwAAAGMIAAHBBAAA4QgAADMIAAEDBAAA8QgAAuEEAAIRCAACAQAAAwMEAAOBAAAAAQgAAAEAAANjBAAA0wgAAcEEAABjCAAAgwgAABMIAADBCAACOwgAAqMEAAEDAAADAwQAAyMEAAATCAADgQQAAREIAAOJCAACIwQAAlEIAAK5CAACgwAAAAEEAAPBBAACAwQAAuMEAAIC_AACgQAAA4EAAAFDBAADWQgAAUEEAAIA_AABAwQAAAEAAAFBBAADAQQAAJMIAAEzCAACGwgAAREIAAABBAABwQQAAQMIAAJDBAADoQQAAAMIAAEBBAAAAwQAAYMIAAKBAAADgQAAAREIAAGxCAABMQgAAHEIAAIJCAAAgwQAAAMAAACTCAADowQAAMEIAAKDBAABAwAAAOMIAALhCAABgwgAAqMEAAIjBAADQwQAABEIAADBCAACwwQAAskIAALjBAACgQQAAkMEAAADAAACAPwAAAMIAABTCAACAvwAAREIAAOjBAAD4wQAAkMIgADgTQAlIdVABKo8CEAAagAIAAJg9AAAkvgAA6D0AAPg9AACYvQAAQDwAADS-AAAbvwAABL4AAJ4-AACiPgAAyD0AAEw-AACGPgAAVD4AAFC9AAAUPgAAUL0AACw-AADWPgAAfz8AAEw-AAAcPgAADD4AALi9AACIPQAAuL0AAAS-AAAQvQAAjj4AAPg9AAA8vgAAvr4AAIC7AABkPgAA6D0AAIi9AACYvQAAlr4AAGy-AAA0vgAAuL0AAOo-AABAPAAAcD0AACQ-AAAEvgAAkr4AAAS-AAABvwAAbL4AAES-AADKPgAAqL0AACy-AACgPAAAVT8AAM6-AAC4PQAARD4AAGQ-AABAPAAAUD0AAJg9IAA4E0AJSHxQASqPAhABGoACAACoPQAARD4AAJg9AAAjvwAAoLwAABC9AADovQAA4DwAAKC8AACyPgAABD4AAHS-AABEPgAAkr4AADS-AABwvQAADD4AAGM_AAA0PgAAHD4AACQ-AACAuwAA1j4AAFC9AADYvQAAPD4AAHC9AACaPgAAfD4AAIg9AADYPQAAUD0AABy-AAAwPQAABL4AAOi9AADqPgAAuD0AAIq-AAAsvgAAnj4AAIA7AAA8vgAAgDsAAFA9AADaPgAAf78AABC9AAAMvgAAxj4AAOA8AACoPQAAyD0AAEw-AADgPAAAUD0AAIC7AACYPQAAMD0AAPi9AAAcPgAA4DwAAHC9AAA8viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=uCb2TEIAzsc","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13148086720227390716"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"7844906130032804316":{"videoId":"7844906130032804316","docid":"34-11-6-Z086FA2C44DA035DE","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/908102/f992eec5c57678d8ad2a752cf4be575d/564x318_1"},"target":"_self","position":"14","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPwWNVoeinWY","linkTemplate":"/video/preview/7844906130032804316?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 14 | Proof of Parseval's Identity","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PwWNVoeinWY\",\"src\":\"serp\",\"rvb\":\"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_ALwCvfx-f39AOID_AoJ_AIA9wH4DPoAAAAC9wcECwAAAAP7_Pv9_QEAAwMEAvwAAAAU-Qr9AQAAAPcQ7gH_AQAA_Aj-BgT_AAAA_Qny_wAAAPj67wMBAAAB7_Tx_AAAAAD-7gP4AAAAACAALZuq0Ts4E0AJSE5QAipzEAAaYP4dACT9BfzY_SvsAPIQ_QEFCfn61_gAFvoA8gv17QMX5N0L5_8u0QPtzQAAAAwEAA0PAOREIdzY8gtT-N_z-xQOf-sA8wwZ_PrqEOXbEwkc7A4KNwDr8-8JDBr3IewAGCAALaBTeDs4E0AJSG9QAiqvBhAMGqAGAAAYQgAAlMIAAExCAABAQQAAREIAAADAAACKQgAAgL8AAHDCAAAMQgAAEEEAAHDBAABAQAAAQMAAAIDAAADgwQAATEIAADDCAABEQgAAIMEAALjBAACAwAAAhMIAADhCAABIwgAASEIAAODBAAAQQgAASEIAALDBAADgwAAAYEEAAHTCAADQwQAAeMIAAABCAAAcQgAAzkIAAJDCAABAQQAA0MEAAMBBAABYQgAABMIAABRCAABkwgAASEIAADxCAABgQgAAEEIAAKhBAABQwQAA4EEAABBBAAAAwAAAIMEAAJDBAABAQAAAeEIAABRCAADgQAAA0MIAAAjCAACMwgAAoEAAABTCAAAEwgAATMIAACDCAADwwQAAEEIAAHRCAACUwgAAsEEAALBBAAC0wgAAQMIAAOBAAADQwQAAUMEAAIDAAAC-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-AACuvgAAND4AAFy-AADovQAAVD4AAKi9AAAzvwAAoDwAAKi9AADgPAAATD4AAK4-AACWPgAALL4AAFy-AABUPgAA-D0AAIC7AAAHPwAAfz8AAKA8AACoPQAA-D0AAKi9AABAPAAAqD0AAGS-AAB8PgAALD4AALg9AACqvgAAmL0AAKA8AACoPQAAbD4AADQ-AADgPAAAmr4AAAO_AACgPAAA4DwAAI4-AABwPQAABL4AAOg9AAAEPgAAZL4AADA9AACqvgAAgDsAADA9AACiPgAAJD4AAA-_AACgPAAARz8AADC9AAAwPQAA0j4AAKA8AABEvgAA-D0AAHS-IAA4E0AJSHxQASqPAhABGoACAABkvgAADD4AAKI-AAAxvwAARD4AAIA7AAAUvgAAgLsAABy-AACuPgAA-D0AAKi9AACgPAAAir4AAI6-AABAPAAAmD0AAH8_AACoPQAAyD0AAFA9AAD4vQAAgj4AALi9AACIvQAAEL0AAEC8AABcPgAAPD4AABw-AADoPQAAiD0AAJq-AADgPAAAuD0AAFC9AABEPgAAuL0AAKa-AACovQAAED0AAEy-AABcvgAA4LwAANi9AACGPgAAdb8AAIi9AABcvgAAXD4AABA9AAAUPgAAbD4AAMg9AADYvQAAML0AAEC8AACOPgAAcD0AADy-AACgPAAA-L0AALg9AAAEviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=PwWNVoeinWY","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["7844906130032804316"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13554237097213729584":{"videoId":"13554237097213729584","docid":"34-1-6-ZC0AD9FCD59E95BC3","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/931728/701509ecd0bb8c3a745003cce797c048/564x318_1"},"target":"_self","position":"15","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3De4Kg4d1mB7E","linkTemplate":"/video/preview/13554237097213729584?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 14 | Proof of Parseval's Identity [dark version]","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=e4Kg4d1mB7E\",\"src\":\"serp\",\"rvb\":\"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_QD8-QcIAgj8Au8K9_H5_f0A1wQCC_34BAD3AfgM-gAAAPX1AAcGAAAA_f_8AQT-AAABAP4IBAAAABT5Cv0BAAAA_f3rAAABAAD-BAERBP8AAPv3APf_AAAA-_f5CQIAAADrAu4CAAAAAPvy-_kAAAAAIAAt2EPOOzgTQAlITlACKnMQABpgCRgAKfsC_tH-K-QF9Qj4BgQF-PXe8QAW8ADqDvr2_gzt3A_o_y_TB_TOAAAAEQP-FwYA20Mg4Nb6AFMD3fwADBR_7fzvEBH6-vAB7NMIFBXkDhQtAOL58wYFF_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-AACCPgAAZL4AAKi9AAAsPgAA2L0AABm_AADgPAAA4DwAAGw-AAB8PgAAjj4AAJ4-AAD4vQAAXL4AAHQ-AACYPQAAyD0AAAM_AAB_PwAABD4AAIA7AABMPgAALL4AAIC7AACoPQAAor4AAJI-AABcPgAAQLwAAHy-AACIvQAABD4AAFQ-AAAcPgAAqD0AAFA9AADCvgAA8r4AAEy-AAAQPQAAVD4AABA9AABcvgAAFD4AANg9AADIvQAAJD4AAJ6-AAAQPQAAMD0AALY-AAB8PgAAK78AADC9AABTPwAAiL0AAIg9AACSPgAAMD0AAK6-AADIPQAAFL4gADgTQAlIfFABKo8CEAEagAIAAES-AAC4PQAAhj4AADe_AABMPgAAoDwAAHy-AACAuwAAPL4AAHQ-AADYPQAABL4AAEC8AACyvgAAZL4AAEA8AADIPQAAfz8AAHA9AACYPQAAgLsAAAS-AACaPgAADL4AAKC8AADgPAAA6L0AAEw-AAA0PgAAyD0AABQ-AAAwPQAAZL4AAIA7AABsPgAAmL0AADQ-AACYvQAAqr4AAMi9AADIPQAAJL4AAI6-AABQvQAAfL4AADw-AABtvwAAuL0AAGS-AAB0PgAAiD0AABA9AADYPQAAHD4AAKC8AACYvQAAoLwAAKI-AADgvAAARL4AAEA8AAAQvQAAPD4AAAS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=e4Kg4d1mB7E","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["13554237097213729584"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1025561009693056524":{"videoId":"1025561009693056524","docid":"34-3-6-Z57E210354AA39298","description":"Jacob Barandes, physicist and philosopher of science at Harvard University, talks about quantum theory, quantum mechanics and Hilbert spaces. Full episode: • Quantum Theory, Indivisible...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1222233/d4fe8080612e8a48b8af7a6ac7559c3f/564x318_1"},"target":"_self","position":"16","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DuvgJVSHT9wI","linkTemplate":"/video/preview/1025561009693056524?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is a Hilbert Space? The Key to Quantum Physics","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=uvgJVSHT9wI\",\"src\":\"serp\",\"rvb\":\"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_E9ABggQkAYAEKyqLARABGniBABD6-_0EAOYAAQL8AAEACAEH-vj__wDlAvH3A_wCAPMAAAf-AAAA_PsG_AIAAADzA_4B-gAAAAMNBQb4AAAAC_f_8AAAAAAN_-0B_wEAAAMAAPwCAAAAFvv8_gAAAAD39v3-AQAAAPIE-_0AAAAAEwH5AAAAAAAgAC2Teds7OBNACUhOUAIqcxAAGmAfEQAjJu7Z-Ogw7uwM4_v3AP7q5NH4ABAeAAYA_ejxMgDXNfAABtgT-cgAAAAExvsV-QDoSebJ3gf1CuPOBQ8cCn8Fy9smCvYNvjn6-_QaBQsKMygA9wD-ERcf4TDZ-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-MEAAPhBAACgwQAAQMEAAK7CAABwQQAAgD8AALjBAAAIwgAAGEIAAEBBAAA4wgAAmEEAAJjBAAAYwgAAyEEAAEBBAACgwAAAgMIAAKBAAADAwQAAEMEAAEDBAAAQwQAAiEEAAL7CAAA8QgAAUMEAABhCAAAAQAAA4MAAAIDBAACIQQAApEIAAAzCAACCwgAAwEAAAJBBAACoQQAAMMEAAMhBAAC4QQAAAMAAALjBAACuQgAAoMEAAJzCAADwwQAAuMEAADhCAACgQAAAqMEAAMRCAAAwQQAAkMEAAJjBAABUQgAAgEAAAAAAAAAQwQAAAMEAAJBBAACgQQAAaMIAANDBIAA4E0AJSHVQASqPAhAAGoACAAB8vgAA4LwAAKg9AAAQvQAAyD0AAFQ-AADoPQAAK78AADy-AAAUPgAAyD0AABw-AABwPQAATD4AAMg9AAB8vgAAZD4AAEA8AACWPgAAzj4AAHs_AAAwPQAAnj4AAJo-AACyvgAA2L0AAKg9AAAsvgAArj4AAOI-AAAsPgAA0r4AAKa-AACYPQAAgLsAAJg9AACovQAA-L0AAJK-AACavgAAiD0AAJi9AACKPgAA2L0AAEC8AAAMPgAAyD0AAFS-AACAOwAAA78AABS-AADgvAAAoj4AAJi9AACgvAAAgLsAAH8_AACevgAAiL0AAOg9AAAUvgAA2D0AABA9AABUviAAOBNACUh8UAEqjwIQARqAAgAAcD0AALg9AAAwPQAAJ78AAKi9AAAMvgAAcL0AAIC7AADgvAAAED0AAHC9AACGvgAADD4AAKa-AAC4vQAA2L0AABC9AAA7PwAA6D0AAJI-AAAUPgAA6L0AAFQ-AABUvgAA6L0AAAy-AABwvQAABD4AAHQ-AACIPQAA-D0AAJg9AAAsvgAAyD0AAJg9AAA0vgAA_j4AAIg9AADCvgAAmD0AAAw-AADgvAAAyL0AAAw-AAAsvgAAzj4AAH-_AADYvQAAjr4AAHw-AACovQAA2D0AADw-AAD4PQAAiD0AAKA8AACgvAAAmD0AALg9AAAwvQAAQDwAAFQ-AABAPAAALL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=uvgJVSHT9wI","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1025561009693056524"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4322023246604023775":{"videoId":"4322023246604023775","docid":"34-11-17-Z9FF9EF5CFE69BA3E","description":"📝 Find more here: https://tbsom.de/s/hs 👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm... Other possibilities here: https://tbsom.de/sp You can also support me via...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3296151/53d6e51d099e6f25fef7345a4c6861ea/564x318_1"},"target":"_self","position":"17","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrUgrPYC_UuI","linkTemplate":"/video/preview/4322023246604023775?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 7 | Approximation Formula [dark version]","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rUgrPYC_UuI\",\"src\":\"serp\",\"rvb\":\"EqsDChM4NDcyNTk4MTIzNzAwMDYyMDc2ChQxNzAxNDUzMTc1MDM5NTY3NjE0OAoTMTU4ODI1ODA0NDg5NDkzNzI3NwoUMTc1MDIwNTE2OTYwNDk4NzY0NDkKEjg1NDkwMTY0MjU1Mjg3OTgxOAoUMTA1NzM3NjI4NTYyMjEyMTAzMDUKEzQ3OTY2MTg0MDcwNzIxNDkyNTAKFDE4NDQwMDcwOTQxNDM5MjMwNTcxChQxMjAyMzc2MTQzOTk3NTg4ODkwMAoTNjQ5NTg2MjEwNzY0NDA4ODcxMgoUMTMxNDgwODY3MjAyMjczOTA3MTYKEzc4NDQ5MDYxMzAwMzI4MDQzMTYKFDEzNTU0MjM3MDk3MjEzNzI5NTg0ChMxMDI1NTYxMDA5NjkzMDU2NTI0ChM0MzIyMDIzMjQ2NjA0MDIzNzc1ChM5NzE2MTI4NDQyMjUxNzYzOTQ5ChQxNDI3NDE4NTEwMzEyMjE3NTYwOQoTNDUzNjMwMDU0MzczMTUxNTMxNwoTODMzMzEzNDcwMzcyNTUwMzQ1MAoTMTkyODE3MTQ1MDYwMDYyMzcyMBoVChM0MzIyMDIzMjQ2NjA0MDIzNzc1WhM0MzIyMDIzMjQ2NjA0MDIzNzc1aq4NEgEwGAAiRBowAAopaGhnaWNsZ2ppdmVseW52aGhVQ2R3bzRrMVJRSFRjcV8tV1M3Q2F6cWcSAgARKhDCDw8aDz8T7QSCBCQBgAQrKosBEAEaeIEJ9gsB_wEA8Qf9CQAE_gEUCvz89QICAOQA8QkA_QEA8vT_AQIAAADxBgECCQAAAPUE-QIC_wAA9QQKDgQAAAAKAAf8_AAAAP8I8f3_AQAABQcEBwP_AAAPAAj7_wAAAP3u8gX_AP8B7ALvAgAAAAAG9QD1AAAAACAALVtJ1zs4E0AJSE5QAipzEAAaYAgZABMIE_PcCi_4-gb6A_r4A-f28fkADQkABQUE8BEH_e4T6AAe8Qb72gAAABH2AA77AOgv_-7b_voZEN_0ChsMf_v47Q4A_vfwCPjiBx0i8gwMGwDc9wMEBhn1Ev3zCiAALWT_mzs4E0AJSG9QAiqvBhAMGqAGAABAQAAAkMEAAPhBAAAQwgAA4EEAAHBBAADEQgAAuEEAACzCAAAcwgAAcEEAAKBAAACgQAAAmMEAAABBAAC4QQAA2EEAACjCAADAQAAA4EAAAKBBAACIwgAACMIAAJhBAACAwQAAcEEAAODBAADowQAA4MAAALBBAABQwgAAsMEAAIBAAADYQQAAHMIAACDBAAC4QQAAEEIAAGBBAAAcQgAAYEIAAKBAAABoQgAAYEEAAHhCAADawgAAAEIAAMBBAAAEQgAAOEIAAIC_AADowQAAsMEAAIC_AACAPwAAKEIAAEBAAAAQQQAAIMEAAJhCAACgQAAAZMIAAIDAAACAwgAAQEEAALrCAABowgAA6MEAAMDAAACgwQAAhEIAAEBCAACIwgAA3kIAAIDAAAC-wgAAoMEAAADBAAC4QQAAwMAAAPjBAADuQgAAAMEAAGDBAAAgQQAAYEEAAJhBAABMQgAAPEIAAEDBAACAQAAAnkIAAODAAAAwwgAAAEEAAJbCAAC4wQAAiEEAANhCAACKQgAAuMEAAKBBAABgwQAAWMIAAMjCAABAwAAAAEAAAKBAAABAwAAAsEEAAKBBAACwwQAAoMAAAFRCAAAwwQAA2EEAAHBBAABgwgAAUMEAAOjBAAA8wgAAjsIAAHDBAAC4wQAAiMEAADDCAAB4wgAA6MEAAHzCAABAQAAADMIAAOBBAAAswgAAmkIAABjCAAAAQQAAoEEAAADBAAA8wgAAXMIAAABCAACgQAAAEEEAAGDBAAAEQgAAAMEAAODBAAAYwgAA2EEAAIC_AAAYwgAATEIAAOBBAADwwQAAIMEAAEBAAADQwQAAHMIAAJzCAAAgQgAASMIAABBCAAAUQgAAoMEAAIBAAABIQgAAdEIAAHxCAAAEQgAA4EAAAHDBAAAoQgAAgMEAACDCAACgwgAAwEEAAEzCAACOwgAA4MEAAHBCAAAkwgAAHMIAAIBAAACYwQAAFEIAADDCAAAAwAAASMIAAIDBAABQwQAAYMEAADDCAABgQgAAAMAAANBBAAC4QQAAoEAAAKDAAACCwgAAIMIgADgTQAlIdVABKo8CEAAagAIAAMi9AAAwvQAALD4AAKi9AAAkvgAAPD4AAJ4-AAD2vgAAgDsAACQ-AADKPgAARD4AAMi9AADqPgAAiD0AAEy-AADqPgAAML0AAJY-AAABPwAAfz8AABQ-AACYPQAAAz8AAOC8AAAQPQAAgLsAAES-AAB0PgAAPD4AADC9AADovQAA4DwAAAS-AADmPgAAQDwAAHw-AAAwvQAA-r4AAAO_AABUvgAALL4AACw-AACIPQAARL4AAHC9AAAEPgAAdL4AAEA8AABsvgAADD4AAES-AACmPgAAmD0AAMq-AAAQPQAATz8AAPi9AABUPgAA4DwAAOA8AABQvQAAFD4AAI4-IAA4E0AJSHxQASqPAhABGoACAADovQAA4LwAAIg9AAAfvwAA6D0AABw-AAAEvgAAML0AAJi9AAAMPgAAcL0AAHy-AAAMPgAAVL4AABC9AABAPAAAXD4AAG0_AABQvQAAJD4AAAQ-AAA8vgAAnj4AAKi9AAAUPgAAPD4AANi9AAAMPgAABD4AAAw-AADIPQAAyD0AAGS-AACYvQAAHD4AAHC9AAA8PgAA-D0AAIq-AACivgAAkj4AAHA9AADIPQAADL4AAIC7AACoPQAAf78AAIA7AAAEvgAADD4AAOg9AACYvQAAmL0AAGQ-AABAvAAAoDwAAIC7AABUPgAA-L0AAFA9AAA8PgAA-L0AAPg9AAAcviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=rUgrPYC_UuI","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["4322023246604023775"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"9716128442251763949":{"videoId":"9716128442251763949","docid":"34-2-9-Z4E9A4A09242D5FC6","description":"📝 Access all videos and PDFs: https://tbsom.de/s/hs 👍 Become a member on Steady: https://steadyhq.com/en/brightsideofm... 👍 Or become a member on Patreon: / bsom Other possibilities here...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/217673/a848eed44375ef35c306f17b062a5a1c/564x318_1"},"target":"_self","position":"18","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9HyAEpBfbsU","linkTemplate":"/video/preview/9716128442251763949?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 16 | Orthogonal Projection Operators","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9HyAEpBfbsU\",\"src\":\"serp\",\"rvb\":\"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_gECFfr69v__APMS-gIHAv8A-vT9B_wAAAACAQX8CwAAAPoS__r3_gEAEPsJBAQAAAAS6PwH_wAAAPcQ7gH_AQAA7xD4_QMAAAAM9fv__wAAAPj67gMBAAAB8fz4AAAAAAAD7wAFAAEAACAALTgLzTs4E0AJSE5QAipzEAAaYPoYACX4FgLnCyfu_AUXCfL8IgAF1fkAF-8AAQry4hMM8uIQ8QAm4wX80wAAABT1_RbzAOU5_PLd-QQ5_-vpCCEPf_D95RL4-QACGOsJAvsc6xD-DgDO_QD6KBrjDOsEISAALfOLhzs4E0AJSG9QAiqvBhAMGqAGAADoQQAAiMIAAFBCAAAAAAAAfEIAAIC_AACUQgAAAMEAACzCAAAkQgAAAEAAAKDBAAAAwQAAoMAAACBBAADowQAAIEIAACTCAABIQgAAYMEAAAjCAACAwQAAbMIAABhCAAAUwgAACEIAAMjBAACYQQAAXEIAAFDBAAC4wQAAgEEAAFDCAAAAwgAAjMIAALhBAAAkQgAA0kIAAJzCAAAMQgAAiMEAANBBAABYQgAABMIAAOBBAACewgAAGEIAADxCAABoQgAAREIAAFBBAAAQwQAAAEIAAABBAAAgQQAAgMAAAADCAACAQQAATEIAAPBBAABQQQAAysIAAODBAACqwgAAEEEAACDCAAAowgAAeMIAAKjBAAAowgAAHEIAAEhCAACWwgAAoEEAAMBAAACqwgAAOMIAAIDAAAAIwgAAiMEAAJDBAACcQgAAoMEAAFBBAABQQQAA0EEAAAxCAAA4QgAAuEEAACTCAAAwwgAAqEIAANjBAADgwAAA2EEAAAjCAAAwQQAAiEEAAGRCAAAsQgAAOMIAAFRCAACQQQAAqMEAAJzCAAC4wQAAkMEAAMhBAABgwQAAbEIAAJRCAACAQQAAyMEAAFhCAAA0wgAA8EEAAEhCAABEwgAAWMIAAIjBAAAIwgAAzsIAAGTCAABAwQAA4MAAABjCAABAwQAA4EAAAIDBAADgQAAAcMEAAEDBAAAkwgAASEIAACDCAABAQgAANEIAAMBAAAAwwQAAosIAAIC_AAAAwQAA6EEAAPDBAAAEQgAAEEEAAAzCAABAQQAAEEEAAKBBAADYwQAAgD8AACBCAAAAwQAAoMAAAKjBAAAAwQAAhsIAAJDCAACgQQAAbMIAAJDBAAAIwgAAUMIAAABAAACoQQAAoEAAALJCAADQQQAAkEEAAJBBAADAQAAAAAAAAMDAAAAIwgAAEMEAADjCAADQwQAADEIAAMBBAABwwgAAuMEAADDBAAAgQQAAMEIAADzCAADgwQAAHMIAACBBAACIQQAAQEEAANjBAACoQgAAqMEAABBCAABIQgAA4MAAAABAAABEwgAADMIgADgTQAlIdVABKo8CEAAagAIAAAm_AADOvgAAiD0AALi9AACAOwAAPD4AAAy-AAAtvwAAor4AAFC9AAB8PgAApj4AADw-AAA8PgAAjr4AAFS-AADCPgAAqL0AAIA7AAAJPwAAfz8AAIg9AAAQPQAAfD4AAIg9AAC4vQAAiD0AAJi9AACmvgAAnj4AAHQ-AACgvAAAAb8AALg9AADgvAAAyD0AANI-AAAsvgAAB78AAA-_AACSvgAAZD4AALI-AACIvQAALL4AAHS-AAAMPgAAur4AAEA8AAAJvwAA-L0AAAu_AACiPgAAnj4AABy-AADovQAATz8AAFS-AACAuwAATz8AAIA7AACYPQAAqD0AAOg9IAA4E0AJSHxQASqPAhABGoACAAA8vgAA2D0AAIo-AAAZvwAAHD4AAKA8AABwPQAAqL0AAHC9AACiPgAAbD4AAAS-AACiPgAAgr4AAFy-AABAPAAAED0AAH0_AABcPgAAFD4AAPg9AADYvQAAhj4AAOi9AADIPQAA4LwAACw-AACePgAA2D0AAKA8AADoPQAA6D0AAM6-AAAUPgAAiD0AAJq-AABMPgAAfD4AAM6-AABUvgAAij4AALi9AACgPAAADL4AAKg9AABQPQAAf78AAFA9AAAQvQAALD4AALg9AAAMPgAAED0AAHA9AADgPAAAED0AAFC9AAB8PgAAiL0AANi9AADoPQAAhr4AABC9AAAsviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=9HyAEpBfbsU","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["9716128442251763949"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"14274185103122175609":{"videoId":"14274185103122175609","docid":"34-5-15-Z843CC1E1A989AAE0","description":"📝 Find more here: https://tbsom.de/s/hs 👍 Support the channel on Steady: https://steadyhq.com/en/brightsideofm... Other possibilities here: https://tbsom.de/sp You can also support me via...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/763189/87ccaeefcfe20ef5dc918025ed90644e/564x318_1"},"target":"_self","position":"19","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXoVT7xgc7ck","linkTemplate":"/video/preview/14274185103122175609?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Hilbert Spaces 19 | Properties of the Adjoint","related_orig_text":"Hilbert","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Hilbert\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XoVT7xgc7ck\",\"src\":\"serp\",\"rvb\":\"EqsDChM4NDcyNTk4MTIzNzAwMDYyMDc2ChQxNzAxNDUzMTc1MDM5NTY3NjE0OAoTMTU4ODI1ODA0NDg5NDkzNzI3NwoUMTc1MDIwNTE2OTYwNDk4NzY0NDkKEjg1NDkwMTY0MjU1Mjg3OTgxOAoUMTA1NzM3NjI4NTYyMjEyMTAzMDUKEzQ3OTY2MTg0MDcwNzIxNDkyNTAKFDE4NDQwMDcwOTQxNDM5MjMwNTcxChQxMjAyMzc2MTQzOTk3NTg4ODkwMAoTNjQ5NTg2MjEwNzY0NDA4ODcxMgoUMTMxNDgwODY3MjAyMjczOTA3MTYKEzc4NDQ5MDYxMzAwMzI4MDQzMTYKFDEzNTU0MjM3MDk3MjEzNzI5NTg0ChMxMDI1NTYxMDA5NjkzMDU2NTI0ChM0MzIyMDIzMjQ2NjA0MDIzNzc1ChM5NzE2MTI4NDQyMjUxNzYzOTQ5ChQxNDI3NDE4NTEwMzEyMjE3NTYwOQoTNDUzNjMwMDU0MzczMTUxNTMxNwoTODMzMzEzNDcwMzcyNTUwMzQ1MAoTMTkyODE3MTQ1MDYwMDYyMzcyMBoWChQxNDI3NDE4NTEwMzEyMjE3NTYwOVoUMTQyNzQxODUxMDMxMjIxNzU2MDlqrg0SATAYACJEGjAACiloaGdpY2xnaml2ZWx5bnZoaFVDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZxICABEqEMIPDxoPPxPZBYIEJAGABCsqiwEQARp4gRD0_vwAAAD_7QIJ-wj9AvMI8AX4_v0A7QcHAAH_AAD59fj7-AAAAPoC-_ABAAAA_AP5-_3-AAAE-w0IBAAAABDuCPf7AAAAAgv3Bv4BAAD5C_kG9wEAARL1AgEAAAAAAPf8Ev8AAAD1-PMKAAAAAPvs_v8AAAAAIAAteVXVOzgTQAlITlACKnMQABpg_RcAGAYT--MNQ-jm-P8DD_UJ8_jiCQAZAwDnAPH6FRfv5BTl_yPiBPHPAAAADA4OBQAA4UIL5c3pBUL-5PcJGhx_6QHYDQL4AfoI-ecOCR3oHwwyAN8B8w4dHP4W-OETIAAtIDF-OzgTQAlIb1ACKq8GEAwaoAYAAKhBAABAwgAAgD8AAJDBAACcQgAAYMEAAJxCAACAQQAAqMEAAJBBAACwQQAAFMIAADDBAACwwQAAoEAAAETCAAAUQgAAyMEAAOhBAACowQAAEMEAACDBAABUwgAA4EEAACDCAAAAQgAAJMIAAKDAAABEQgAAoEAAAIA_AAAQQQAAcMIAAKDAAACCwgAAkEEAABhCAAD-QgAALMIAADhCAACgwQAA0EEAAGhCAAAQwgAAUEIAAJTCAACgQAAAkkIAAEhCAAD4QQAA-EEAAADBAACQwQAAQMEAAEDAAAAEwgAADMIAAKDAAACgQQAA4EEAAAAAAACgwgAAKMIAAMTCAACAQAAADMIAABDCAAB4wgAAwMEAAEDCAAAIQgAAhkIAAHDCAABAQAAAoEAAAObCAAAgwgAAIEEAAMDBAACgwQAAcMEAAMZCAACAwAAAgEEAAIBAAADoQQAANEIAAExCAAAUQgAAsMEAAFDBAACgQgAA6MEAAODBAADYQQAA-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_AAAsvgAADL4AAPg9AAB8PgAAFD4AAJI-AABAvAAAMD0AAKY-AACAOwAA4DwAAJo-AAB_PwAAuD0AACQ-AAAMPgAAVL4AAHC9AABQvQAAyL0AAIi9AAAEPgAABD4AAIg9AAAQvQAAJL4AAHQ-AADKPgAAkj4AALi9AABcvgAAur4AAKC8AABAvAAAqj4AADQ-AAAQvQAAQDwAADC9AACCvgAAmL0AAOK-AAAsPgAAPL4AAM4-AACoPQAAlr4AAIC7AAAZPwAA4DwAAEC8AAAwvQAA6L0AAOC8AADoPQAAMD0gADgTQAlIfFABKo8CEAEagAIAAI6-AAAQPQAAbD4AADO_AAAcPgAAqD0AAMi9AAC4vQAAqL0AAKY-AADgvAAAVL4AAOC8AACCvgAADL4AAFC9AABkPgAAWT8AABw-AABsPgAA-D0AABQ-AACaPgAAUD0AAIi9AAAQvQAAqD0AALI-AABUPgAA4DwAADQ-AAAEPgAA-L0AAEC8AADYPQAAmL0AAAU_AABcPgAArr4AAEC8AABcPgAAoLwAAES-AACgvAAAQLwAAHQ-AAB_vwAAUD0AAJi9AAAPPwAAQDwAAKC8AAAcPgAAfD4AAJg9AAAQPQAAMD0AAII-AACAOwAARL4AAKg9AAAcPgAAND4AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=XoVT7xgc7ck","parent-reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["14274185103122175609"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"8472598123700062076":{"videoId":"8472598123700062076","title":"What is \u0007[Hilbert\u0007] Space?","cleanTitle":"What is Hilbert Space?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eqRGPWlrtmw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eqRGPWlrtmw?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":"d3d3LnlvdXR1YmUuY29tO1VDT2ZMbTZnWkd0M3Z3VE1LUmctaXJoZw==","name":"For the Love of Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=For+the+Love+of+Physics","origUrl":"http://www.youtube.com/@FortheLoveofPhysics","a11yText":"For the Love of Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2093,"text":"34:53","a11yText":"Süre 34 dakika 53 saniye","shortText":"34 dk."},"views":{"text":"40,9bin","a11yText":"40,9 bin izleme"},"date":"12 şub 2025","modifyTime":1739388195000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/eqRGPWlrtmw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eqRGPWlrtmw","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":2093},"parentClipId":"8472598123700062076","href":"/preview/8472598123700062076?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/8472598123700062076?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17014531750395676148":{"videoId":"17014531750395676148","title":"What is a \u0007[Hilbert\u0007] Space?","cleanTitle":"What is a Hilbert Space?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FFPXm-tuOt8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FFPXm-tuOt8?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":"d3d3LnlvdXR1YmUuY29tO1VDUjVvTkpXNDVBTEVyUl9PTDVicGlfdw==","name":"Abide By Reason","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Abide+By+Reason","origUrl":"http://www.youtube.com/@AbideByReason","a11yText":"Abide By Reason. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":639,"text":"10:39","a11yText":"Süre 10 dakika 39 saniye","shortText":"10 dk."},"views":{"text":"600,9bin","a11yText":"600,9 bin izleme"},"date":"23 mayıs 2025","modifyTime":1748018312000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FFPXm-tuOt8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FFPXm-tuOt8","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":639},"parentClipId":"17014531750395676148","href":"/preview/17014531750395676148?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/17014531750395676148?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1588258044894937277":{"videoId":"1588258044894937277","title":"\u0007[Hilbert\u0007] Spaces 2 | Examples of \u0007[Hilbert\u0007] Spaces","cleanTitle":"Hilbert Spaces 2 | Examples of Hilbert Spaces","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=EA_cfDOWCBs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/EA_cfDOWCBs?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":771,"text":"12:51","a11yText":"Süre 12 dakika 51 saniye","shortText":"12 dk."},"views":{"text":"9,3bin","a11yText":"9,3 bin izleme"},"date":"16 ara 2024","modifyTime":1734371079000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/EA_cfDOWCBs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=EA_cfDOWCBs","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":771},"parentClipId":"1588258044894937277","href":"/preview/1588258044894937277?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/1588258044894937277?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17502051696049876449":{"videoId":"17502051696049876449","title":"\u0007[Hilbert\u0007] Spaces 2 | Examples of \u0007[Hilbert\u0007] Spaces [dark version]","cleanTitle":"Hilbert Spaces 2 | Examples of Hilbert Spaces [dark version]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1LhsIH03hqU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1LhsIH03hqU?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":771,"text":"12:51","a11yText":"Süre 12 dakika 51 saniye","shortText":"12 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"18 ara 2024","modifyTime":1734480000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1LhsIH03hqU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1LhsIH03hqU","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":771},"parentClipId":"17502051696049876449","href":"/preview/17502051696049876449?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/17502051696049876449?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"854901642552879818":{"videoId":"854901642552879818","title":"David \u0007[Hilbert\u0007]","cleanTitle":"David Hilbert","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=G13nHzYpLmc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/G13nHzYpLmc?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":"d3d3LnlvdXR1YmUuY29tO1VDb2N4RktIMXpsenlhLXFRVGVVMlloUQ==","name":"discovermaths","isVerified":false,"subscribersCount":0,"url":"/video/search?text=discovermaths","origUrl":"http://www.youtube.com/@discovermaths","a11yText":"discovermaths. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":339,"text":"5:39","a11yText":"Süre 5 dakika 39 saniye","shortText":"5 dk."},"views":{"text":"12,1bin","a11yText":"12,1 bin izleme"},"date":"20 mayıs 2020","modifyTime":1589932800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/G13nHzYpLmc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=G13nHzYpLmc","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":339},"parentClipId":"854901642552879818","href":"/preview/854901642552879818?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/854901642552879818?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10573762856221210305":{"videoId":"10573762856221210305","title":"\u0007[Hilbert\u0007] Spaces 3 | Polarization Identity","cleanTitle":"Hilbert Spaces 3 | Polarization Identity","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NZtVt-leNIQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NZtVt-leNIQ?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":579,"text":"9:39","a11yText":"Süre 9 dakika 39 saniye","shortText":"9 dk."},"views":{"text":"1,8bin","a11yText":"1,8 bin izleme"},"date":"12 oca 2025","modifyTime":1736640000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NZtVt-leNIQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NZtVt-leNIQ","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":579},"parentClipId":"10573762856221210305","href":"/preview/10573762856221210305?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/10573762856221210305?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4796618407072149250":{"videoId":"4796618407072149250","title":"\u0007[Hilbert\u0007] Spaces 7 | Approximation Formula","cleanTitle":"Hilbert Spaces 7 | Approximation Formula","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=YfILVITvb-c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/YfILVITvb-c?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":621,"text":"10:21","a11yText":"Süre 10 dakika 21 saniye","shortText":"10 dk."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"18 mar 2025","modifyTime":1742256000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/YfILVITvb-c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=YfILVITvb-c","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":621},"parentClipId":"4796618407072149250","href":"/preview/4796618407072149250?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/4796618407072149250?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18440070941439230571":{"videoId":"18440070941439230571","title":"\u0007[Hilbert\u0007] Spaces 15 | Existence of ONB","cleanTitle":"Hilbert Spaces 15 | Existence of ONB","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=61Q4dzSPqos","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/61Q4dzSPqos?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. 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."},"date":"11 haz 2025","modifyTime":1749600000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/61Q4dzSPqos?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=61Q4dzSPqos","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":584},"parentClipId":"18440070941439230571","href":"/preview/18440070941439230571?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/18440070941439230571?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12023761439975888900":{"videoId":"12023761439975888900","title":"\u0007[Hilbert\u0007] Spaces 6 | Orthogonal Complement","cleanTitle":"Hilbert Spaces 6 | Orthogonal Complement","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=km_eziIGSD0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/km_eziIGSD0?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1000,"text":"16:40","a11yText":"Süre 16 dakika 40 saniye","shortText":"16 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"14 mar 2025","modifyTime":1741910400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/km_eziIGSD0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=km_eziIGSD0","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":1000},"parentClipId":"12023761439975888900","href":"/preview/12023761439975888900?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/12023761439975888900?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6495862107644088712":{"videoId":"6495862107644088712","title":"\u0007[Hilbert\u0007] Spaces 19 | Properties of the Adjoint [dark version]","cleanTitle":"Hilbert Spaces 19 | Properties of the Adjoint [dark version]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DbHtyjpD2bY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DbHtyjpD2bY?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":729,"text":"12:09","a11yText":"Süre 12 dakika 9 saniye","shortText":"12 dk."},"date":"12 tem 2025","modifyTime":1752278400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DbHtyjpD2bY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DbHtyjpD2bY","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":729},"parentClipId":"6495862107644088712","href":"/preview/6495862107644088712?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/6495862107644088712?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13148086720227390716":{"videoId":"13148086720227390716","title":"Understanding \u0007[Hilbert\u0007] Spaces","cleanTitle":"Understanding Hilbert Spaces","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uCb2TEIAzsc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uCb2TEIAzsc?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":"d3d3LnlvdXR1YmUuY29tO1VDTC01REc4RXFac0M2VEVGak9pR3dsdw==","name":"MrJackpots","isVerified":false,"subscribersCount":0,"url":"/video/search?text=MrJackpots","origUrl":"http://www.youtube.com/@MrJackpots","a11yText":"MrJackpots. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1298,"text":"21:38","a11yText":"Süre 21 dakika 38 saniye","shortText":"21 dk."},"date":"7 haz 2025","modifyTime":1749254400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uCb2TEIAzsc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uCb2TEIAzsc","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":1298},"parentClipId":"13148086720227390716","href":"/preview/13148086720227390716?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/13148086720227390716?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7844906130032804316":{"videoId":"7844906130032804316","title":"\u0007[Hilbert\u0007] Spaces 14 | Proof of Parseval's Identity","cleanTitle":"Hilbert Spaces 14 | Proof of Parseval's Identity","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=PwWNVoeinWY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PwWNVoeinWY?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":985,"text":"16:25","a11yText":"Süre 16 dakika 25 saniye","shortText":"16 dk."},"date":"24 eki 2025","modifyTime":1761264000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PwWNVoeinWY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PwWNVoeinWY","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":985},"parentClipId":"7844906130032804316","href":"/preview/7844906130032804316?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/7844906130032804316?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13554237097213729584":{"videoId":"13554237097213729584","title":"\u0007[Hilbert\u0007] Spaces 14 | Proof of Parseval's Identity [dark version]","cleanTitle":"Hilbert Spaces 14 | Proof of Parseval's Identity [dark version]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=e4Kg4d1mB7E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/e4Kg4d1mB7E?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":984,"text":"16:24","a11yText":"Süre 16 dakika 24 saniye","shortText":"16 dk."},"date":"26 eki 2025","modifyTime":1761436800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/e4Kg4d1mB7E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=e4Kg4d1mB7E","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":984},"parentClipId":"13554237097213729584","href":"/preview/13554237097213729584?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/13554237097213729584?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1025561009693056524":{"videoId":"1025561009693056524","title":"What is a \u0007[Hilbert\u0007] Space? The Key to Quantum Physics","cleanTitle":"What is a Hilbert Space? The Key to Quantum Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=uvgJVSHT9wI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/uvgJVSHT9wI?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":"d3d3LnlvdXR1YmUuY29tO1VDSi05MzdsQTNfczJnNUF4ZHBLUWpWZw==","name":"Know Time","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Know+Time","origUrl":"http://www.youtube.com/@KnowTime","a11yText":"Know Time. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":208,"text":"3:28","a11yText":"Süre 3 dakika 28 saniye","shortText":"3 dk."},"views":{"text":"11,5bin","a11yText":"11,5 bin izleme"},"date":"21 mar 2025","modifyTime":1742515200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/uvgJVSHT9wI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=uvgJVSHT9wI","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":208},"parentClipId":"1025561009693056524","href":"/preview/1025561009693056524?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/1025561009693056524?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4322023246604023775":{"videoId":"4322023246604023775","title":"\u0007[Hilbert\u0007] Spaces 7 | Approximation Formula [dark version]","cleanTitle":"Hilbert Spaces 7 | Approximation Formula [dark version]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rUgrPYC_UuI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rUgrPYC_UuI?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":621,"text":"10:21","a11yText":"Süre 10 dakika 21 saniye","shortText":"10 dk."},"date":"20 mar 2025","modifyTime":1742428800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rUgrPYC_UuI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rUgrPYC_UuI","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":621},"parentClipId":"4322023246604023775","href":"/preview/4322023246604023775?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/4322023246604023775?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9716128442251763949":{"videoId":"9716128442251763949","title":"\u0007[Hilbert\u0007] Spaces 16 | Orthogonal Projection Operators","cleanTitle":"Hilbert Spaces 16 | Orthogonal Projection Operators","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=9HyAEpBfbsU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9HyAEpBfbsU?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":847,"text":"14:07","a11yText":"Süre 14 dakika 7 saniye","shortText":"14 dk."},"date":"12 haz 2025","modifyTime":1749686400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9HyAEpBfbsU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9HyAEpBfbsU","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":847},"parentClipId":"9716128442251763949","href":"/preview/9716128442251763949?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/9716128442251763949?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14274185103122175609":{"videoId":"14274185103122175609","title":"\u0007[Hilbert\u0007] Spaces 19 | Properties of the Adjoint","cleanTitle":"Hilbert Spaces 19 | Properties of the Adjoint","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=XoVT7xgc7ck","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XoVT7xgc7ck?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":"d3d3LnlvdXR1YmUuY29tO1VDZHdvNGsxUlFIVGNxXy1XUzdDYXpxZw==","name":"The Bright Side of Mathematics","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Bright+Side+of+Mathematics","origUrl":"http://www.youtube.com/@brightsideofmaths","a11yText":"The Bright Side of Mathematics. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":729,"text":"12:09","a11yText":"Süre 12 dakika 9 saniye","shortText":"12 dk."},"date":"8 tem 2025","modifyTime":1751932800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XoVT7xgc7ck?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XoVT7xgc7ck","reqid":"1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL","duration":729},"parentClipId":"14274185103122175609","href":"/preview/14274185103122175609?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","rawHref":"/video/preview/14274185103122175609?parent-reqid=1769298443742989-1064094528953030841-balancer-l7leveler-kubr-yp-klg-39-BAL&text=Hilbert","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":"1064094528953030841739","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":"Hilbert","queryUriEscaped":"Hilbert","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"}}}