{"pages":{"search":{"query":"Dr. Lee's Math & Physics","originalQuery":"Dr. Lee's Math & Physics","serpid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","parentReqid":"","serpItems":[{"id":"9553273113400084724-0-0","type":"videoSnippet","props":{"videoId":"9553273113400084724"},"curPage":0},{"id":"12122682620856410361-0-1","type":"videoSnippet","props":{"videoId":"12122682620856410361"},"curPage":0},{"id":"8614549936038191621-0-2","type":"videoSnippet","props":{"videoId":"8614549936038191621"},"curPage":0},{"id":"15038643872105343243-0-3","type":"videoSnippet","props":{"videoId":"15038643872105343243"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dERyLiBMZWUncyBNYXRoICYgUGh5c2ljcwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","ui":"desktop","yuid":"1227735481765270564"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"3735221043790733782-0-5","type":"videoSnippet","props":{"videoId":"3735221043790733782"},"curPage":0},{"id":"13468502080355973321-0-6","type":"videoSnippet","props":{"videoId":"13468502080355973321"},"curPage":0},{"id":"6501553951570002174-0-7","type":"videoSnippet","props":{"videoId":"6501553951570002174"},"curPage":0},{"id":"3720543011718010333-0-8","type":"videoSnippet","props":{"videoId":"3720543011718010333"},"curPage":0},{"id":"16245785382693455314-0-9","type":"videoSnippet","props":{"videoId":"16245785382693455314"},"curPage":0},{"id":"1770730533988669105-0-10","type":"videoSnippet","props":{"videoId":"1770730533988669105"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dERyLiBMZWUncyBNYXRoICYgUGh5c2ljcwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","ui":"desktop","yuid":"1227735481765270564"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"11245280426764086637-0-12","type":"videoSnippet","props":{"videoId":"11245280426764086637"},"curPage":0},{"id":"15390888079625602939-0-13","type":"videoSnippet","props":{"videoId":"15390888079625602939"},"curPage":0},{"id":"1028312260487721884-0-14","type":"videoSnippet","props":{"videoId":"1028312260487721884"},"curPage":0},{"id":"10705005086018646832-0-15","type":"videoSnippet","props":{"videoId":"10705005086018646832"},"curPage":0},{"id":"16530033340842870397-0-16","type":"videoSnippet","props":{"videoId":"16530033340842870397"},"curPage":0},{"id":"18428842831107221311-0-17","type":"videoSnippet","props":{"videoId":"18428842831107221311"},"curPage":0},{"id":"12103764787353440073-0-18","type":"videoSnippet","props":{"videoId":"12103764787353440073"},"curPage":0},{"id":"1979743039599070681-0-19","type":"videoSnippet","props":{"videoId":"1979743039599070681"},"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":"dERyLiBMZWUncyBNYXRoICYgUGh5c2ljcwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","ui":"desktop","yuid":"1227735481765270564"}}},"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%3DDr.%2BLee%2527s%2BMath%2B%2526%2BPhysics"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9306447207708911857218","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":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-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_nohost_full_filter_onboarding_enable":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"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":["1374658,0,20;151171,0,21;126350,0,2;1269694,0,37;1281084,0,63;287509,0,71;1424877,0,40;1231501,0,83;912286,0,79"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DDr.%2BLee%2527s%2BMath%2B%2526%2BPhysics","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Dr.+Lee%27s+Math+%26+Physics","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":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Dr.+Lee%27s+Math+%26+Physics","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Dr. Lee's Math & Physics: 1 bin video Yandex'te bulundu","description":"\"Dr. Lee's Math & Physics\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Dr. Lee's Math & Physics — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yb9e17996239a888f16fb94cac3192e75","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1374658,151171,126350,1269694,1281084,287509,1424877,1231501,912286","queryText":"Dr. Lee's Math & Physics","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"1227735481765270564","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438701,1437540,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1765270808","tz":"America/Louisville","to_iso":"2025-12-09T04:00:08-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-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":"1374658,151171,126350,1269694,1281084,287509,1424877,1231501,912286","queryText":"Dr. Lee's Math & Physics","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"1227735481765270564","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":"9306447207708911857218","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":157,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":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,"isIslandsDisabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":false,"isCommentsEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":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":"1227735481765270564","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1728.0__08d7da8c2bad1b707ab3442285ef2d22c008371a","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"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":{"9553273113400084724":{"videoId":"9553273113400084724","docid":"34-11-14-Z6B2278CF86642F87","description":"YOu see how the human neural network in the brain is similar to the linear matrix equation.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3382852/12caedbcd8dd98425a02ec186da9d332/564x318_1"},"target":"_self","position":"0","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJ4PjT-VCjgM","linkTemplate":"/video/preview/9553273113400084724?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series, AI basic - (2) Neural Network and Matric Computation","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=J4PjT-VCjgM\",\"src\":\"serp\",\"rvb\":\"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-AgD4BwUIAAb9AgkJ__j3AAAA7vwG-gYAAAD0_vz8CAAAAPoH-hACAAAAAwH5BfP-AQAGBP0BBAAAABIEBvn4AAAABRQA-v4BAAD4AQr-AgAAABQEEgIAAAAADQ_89wAAAAD-Cf8DAAAAAP8BCgb_AAAAIAAtwqTaOzgTQAlITlACKnMQABpg4wAAOBJGxs4cH9v-CMDq9PgY0PKi-f_aC_8v_xfOKCrc1AcoAGjXLuSjAAAAGgLVCCkA2njx29YxDQQkzuAaHhZ7DQHX9CYL78k5-uYUzX_b5DUDABfY-wxCANc1GGAuIAAtK8kYOzgTQAlIb1ACKq8GEAwaoAYAABBBAADYQQAAsEEAAOBAAADQQQAAYEEAAFxCAADwwQAADMIAAJhBAAD4QQAA4MAAAIjCAABAwQAAHEIAAIA_AACSQgAAmsIAABBBAADQQQAAMEIAACjCAACIQQAAHEIAAPBBAAA0QgAALMIAAKjBAACAQAAABEIAAFDBAADoQQAAWMIAALDBAABwwgAAGEIAAMDAAACuQgAAPEIAANhBAABgQQAAfEIAAOBBAADgQQAAMEEAADzCAAD4wQAAoMAAAKhCAADwQQAAPMIAAODBAACAvwAAAMAAADDBAACIQQAAAMMAAIA_AACAQAAA6EEAALhBAAB0wgAA4EAAAHjCAADAwAAAQEAAAETCAACQwgAA8EEAABBBAAAkQgAAiEIAAPjBAADgQAAA4MAAAI7CAACAwgAA2MEAAMDAAAAoQgAAwMIAAKZCAABowgAA2kIAADDBAACoQgAA8MEAAAxCAABAQAAAYMEAACBCAABAQgAA-EEAAETCAAA0QgAAeMIAAOjBAADgQAAAIEIAAMBBAAAAAAAAlEIAAKZCAABswgAAoMIAAMBAAADgwQAAYEEAAMDBAACAPwAAKEIAAFRCAAAAQQAAqEEAAKBBAACAQAAAoEAAAADAAACAwAAATMIAAKBAAAAgwQAAkMEAADTCAAAkwgAAgD8AAJhBAAAEwgAAIEEAAIBBAAAQQQAA4EEAAGTCAAAAQAAAkMEAADzCAACgwAAAaMIAAFzCAACmwgAAiEEAABhCAABgQQAAAMEAAJhBAABAQAAAoEEAAKhBAAAgQQAALEIAAJjBAADQQQAAgD8AAOBAAADQwQAAQEAAAOBAAADEwgAAQMIAAJBCAACawgAAyEEAAFBBAAAswgAAsMEAAKDBAADgQQAAcEIAAEBAAADAQAAAPEIAAIBBAAAwwgAAyEEAAJBBAAAAQAAA4EEAAEDAAADgwAAAIEIAAGDBAADYwQAANMIAAHxCAADIQQAAwMAAAAhCAACIwQAAyEEAAMjBAACOwgAAoEAAAOBBAADAwQAAWEIAAIBBAAAAQQAAoMAAAMrCAABYwiAAOBNACUh1UAEqjwIQABqAAgAA-L0AAAy-AABEPgAA4DwAAIg9AABsPgAA-L0AACG_AABEvgAAND4AAIi9AADovQAAyL0AALY-AADIvQAA4DwAAKo-AAAQPQAAJD4AAL4-AAB_PwAA-D0AAOA8AAD4PQAAEL0AAOg9AABAvAAAML0AAMg9AAD4PQAAUD0AAFA9AAAQvQAAmL0AAOA8AADYPQAAqD0AADC9AABcvgAALL4AACy-AAC4vQAAmD0AAFA9AACgPAAAHL4AAKg9AAD4vQAAQLwAAAS-AAC6PgAA2L0AAJ4-AAA8PgAAZL4AAFC9AAAvPwAA2D0AADC9AAD4PQAAiD0AAOA8AAAMPgAAgLsgADgTQAlIfFABKo8CEAEagAIAAEA8AACYPQAAMD0AABO_AAAsvgAAUL0AADw-AAA0PgAA6D0AANg9AAC4vQAAJL4AADQ-AACovQAAyD0AAEC8AACIPQAAFz8AANi9AACyPgAAFL4AAOi9AACIvQAAdL4AANg9AAA8PgAAMD0AABA9AAAwvQAAFD4AAPi9AAAUPgAAZL4AAKi9AABAvAAAUL0AAII-AACoPQAANL4AAJi9AADgPAAAuL0AAOi9AABEPgAA2L0AAPi9AAB_vwAAML0AAKa-AAAEPgAA4LwAAKg9AAAEvgAA6D0AAJg9AACYPQAA4LwAAAS-AACAuwAA2D0AADQ-AAAMvgAAMD0AACS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=J4PjT-VCjgM","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["9553273113400084724"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12122682620856410361":{"videoId":"12122682620856410361","docid":"34-11-3-Z8AE5F84FBA40FAEE","description":"Calculus drills, second question...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3825050/00454cfe08f273ced840b0e7bad20761/564x318_1"},"target":"_self","position":"1","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7pL7fFFv9Y8","linkTemplate":"/video/preview/12122682620856410361?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series, Calculus Drills (2) - Find the limit","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7pL7fFFv9Y8\",\"src\":\"serp\",\"rvb\":\"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_E6YDggQkAYAEKyqLARABGniB9vD8AgP8AAP5Dw8GDPkD-f318fj9_ADn-vv-BP4BAOz9_AME_wAABhT1AP0AAAAFCvQO_f0BABL7_vgDAAAAGwL9APcAAAAPDPsE_gEAAAn_9QoE_wAAFQQTAgAAAAAABAT2-_8AAPj2-wEAAAAA_wELBv8AAAAgAC1cRco7OBNACUhOUAIqcxAAGmDREQAqIQjXxvdc2-j1-QnlBkcZsNAm_yP2_x35vtwBCZnXKjL_97AY9KEAAAAEFO8EFgDIfeDxrwoi4fHU28whA38JCKTq8unrstLv4g0mE_4OBlgAqBABE0K9Ah4TZz0gAC0bOBM7OBNACUhvUAIqrwYQDBqgBgAAwMAAALBBAADAwAAAuMEAADBCAAAwQQAAPEIAAKDAAADAwQAA4MAAAExCAAAgwQAAaMIAAAAAAABgQgAAEEEAABhCAABEwgAAIEEAALhBAACIQQAAMMIAADDBAAAkQgAAsMEAAHDBAACgQAAASMIAALhBAADQQQAAJMIAAIDBAAAQwgAAQMEAAHzCAAA0QgAAgD8AAIxCAAB8QgAA4EEAAEhCAABUQgAAeEIAAKBAAADoQQAAiMIAAFDBAACoQQAAmkIAABxCAAAUwgAANMIAACDBAABAQAAA4MAAAEBAAADqwgAAgEAAAKBAAADYQQAAgEAAAFzCAACQQQAAjsIAAHDBAABAwgAAiMEAAKDCAADgwAAAEMIAAJpCAAB8QgAAXMIAABBCAACAwQAAdMIAAODBAAAAwgAAoMEAAABBAABkwgAAaEIAAODAAAC-QgAAgMAAANBCAACgwAAAoEEAAODBAACIwQAAoEEAAIJCAAAAwQAAIMIAAAxCAADAwQAAMMEAAOBBAAA8QgAAiEIAAFDBAADSQgAAjkIAAKDCAADIwgAAIMEAAAAAAAAAQgAAAMIAACRCAAAcQgAACEIAAKhBAAAAQAAAUEEAAAAAAABAwAAAgMAAAKDAAABQwgAAAEAAABDBAABQwQAAIMIAAIDAAAAgQQAAyMEAAMjBAADAQAAAQEEAACDCAACoQQAAKMIAAFBBAADwwQAACMIAAHDBAAAowgAAlMIAAHzCAAAwQQAALEIAAABCAACYwQAACEIAAIBBAADgQQAA4EEAANBBAAAkQgAAyEEAADhCAAAAQgAABEIAAPDBAACAPwAAIEIAAKTCAACmwgAAhEIAALbCAADgQQAAyEEAAADCAADAwQAA4MAAABxCAACkQgAAoEEAAHBBAADAQQAA-EEAAFzCAABwQQAAgMAAAEBAAAAAAAAAZMIAAEDAAAAcQgAAkEEAADzCAABYwgAAJEIAALhBAADIwQAAQEEAAKDAAAAQQQAA4MEAACDCAADowQAA2EEAAKjBAAAkQgAAAAAAAMjBAADIQQAAqsIAAKLCIAA4E0AJSHVQASqPAhAAGoACAABQPQAAuL0AAK4-AADIvQAAUD0AAHw-AACIvQAADb8AANi9AAC4PQAA2L0AAEC8AADgvAAAyj4AAPi9AAAcPgAAvj4AAEA8AACIPQAA2j4AAH8_AABAvAAAED0AAHQ-AADYvQAAML0AANg9AAA0vgAA-D0AAAQ-AABAvAAABL4AAIA7AADovQAAfD4AANi9AAAwvQAAmL0AAJq-AACGvgAAhr4AAOA8AAAcPgAAgLsAAGy-AACavgAAPD4AAFC9AABwPQAAED0AABw-AADgvAAAED0AAI4-AABUvgAAML0AAC0_AABEPgAA4LwAAAw-AACYPQAAiD0AADw-AABAPCAAOBNACUh8UAEqjwIQARqAAgAAiL0AAOA8AADoPQAAG78AAAy-AACAOwAAmD0AAI4-AACoPQAAUD0AAJi9AAAUvgAAED0AANi9AAC4PQAAQLwAAHQ-AAAXPwAAcL0AALI-AABcvgAAMD0AALi9AAAUvgAA2D0AAOA8AADIPQAAQDwAAMg9AAAEPgAAFL4AAEw-AABkvgAA6L0AAEC8AACAuwAAPD4AADw-AABUvgAAgDsAAMi9AAAsvgAARL4AAAw-AAAQvQAAiL0AAH-_AAAMPgAAZL4AAEQ-AADgvAAAMD0AABS-AAD4PQAAcD0AAHA9AABQPQAAML0AAOA8AACYPQAAPD4AAGS-AAAUPgAAEL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7pL7fFFv9Y8","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12122682620856410361"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"8614549936038191621":{"videoId":"8614549936038191621","docid":"34-8-5-ZFC6830C5A2493872","description":"The final Math logic to explain "Limit"...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3238086/e100c60cffb119a8f55172ebb7c8295e/564x318_1"},"target":"_self","position":"2","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-6aC4I1poKQ","linkTemplate":"/video/preview/8614549936038191621?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series, Easy Calculus (3) - Epsilon-Delta Logic to explain \"Limit\"","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-6aC4I1poKQ\",\"src\":\"serp\",\"rvb\":\"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-AYJDgb8AQYC8vX2__4A7QT8-AUAAADzAP7-_wAAAP4I8wf8AAAA-gv6__v-AAAf8v4GAgAAABoC_QD3AAAABhoFBv4BAAD59fQJBP8AAA7-_vj_AAAAAAQE9vv_AADyAQX7AAAAAA4QAgf_AAAAIAAtuC_TOzgTQAlITlACKnMQABpgzAkALRID2OcLT8356QAG0BQeDdKBQP9AAwAT_cnI_B-n1CMm_w_gFvWeAAAAExXX7BYA7Xrg-q8RItf9ysroNRxpKfbXHCPY-JrL9ioR9P_hAwZYAJsO_-tE5szs1V0mIAAtzB4UOzgTQAlIb1ACKo8CEAAagAIAANi9AABQvQAAij4AAIA7AADoPQAARD4AAPg9AAAPvwAARL4AAMg9AACovQAAgDsAAOC8AADCPgAAcL0AAIA7AACSPgAAcD0AAOC8AADePgAAfz8AAEA8AABAPAAAfD4AACS-AACYvQAADD4AABy-AACoPQAAMD0AAEA8AAAsvgAAcL0AAKA8AABwPQAALL4AAKC8AAA0vgAAyr4AADy-AADOvgAAUD0AAIC7AADgvAAAVL4AAGS-AABsPgAAiL0AAFA9AABAvAAA-D0AAIA7AACIPQAAmj4AALa-AACYvQAART8AAGQ-AADgvAAAjj4AAHA9AADoPQAAHD4AALi9IAA4E0AJSHxQASqPAhABGoACAACgPAAAED0AAHC9AAAlvwAAhr4AAJg9AAAsPgAAfD4AAIC7AADoPQAAuL0AAAy-AADIPQAA4DwAAPg9AAAQvQAAFD4AAAc_AADIvQAA6j4AAAS-AAAwvQAAiL0AAES-AAAQPQAAgLsAAOg9AADgvAAAgDsAABQ-AADYvQAAuD0AAAy-AABEvgAA2L0AAIC7AAAQvQAAND4AAMi9AACAOwAAcL0AALi9AACgvAAA2D0AAKC8AACgvAAAf78AANg9AAAEvgAADD4AABA9AACYPQAABL4AAFw-AACAOwAAyD0AAKA8AACAOwAAcD0AAIg9AAA8PgAA-L0AABw-AADovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=-6aC4I1poKQ","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8614549936038191621"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15038643872105343243":{"videoId":"15038643872105343243","docid":"34-5-9-ZAA8FA65507E16C90","description":"Four different types of derivatives for multi-variable functions. Three of them has vector function.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4396604/50e5d1c88ee9f9c87862e21db4711286/564x318_1"},"target":"_self","position":"3","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DbyUUsaehP4o","linkTemplate":"/video/preview/15038643872105343243?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series, Easy Calculus (13) - Vector Culculous","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=byUUsaehP4o\",\"src\":\"serp\",\"rvb\":\"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_E7wRggQkAYAEKyqLARABGniB9_kE-_wEAPb5BgkOBvwBCwD7-vcAAAD2B_z__wL_AP0C_wT_AQAACAQA8QMAAAD-CfAC9_4AABP69PUDAAAADwP-__0AAAAMDfAC_wAAAAH58wMD_wAAEQkIAf8AAAANCPkA__8AAPIBBfsAAAAABgYDCf8AAAAgAC2W4N07OBNACUhOUAIqcxAAGmDlHAA1Ogvtygs51-zsCRXkKyAGvtgc_yncADEJvM8WCa_THij_4NQO06oAAAAJ19LhBgD3dcD7r_Qg_xma3OoDKH8eFdjTBxjcAvsVEOka6RHi-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-AACgPAAAED0AAKo-AAAwvQAA2r4AAFS-AABQPQAALL4AAHA9AADgvAAAgj4AANi9AAAQvQAAoj4AAOA8AACAuwAA3j4AAH8_AAAwPQAAuD0AADQ-AACYvQAAED0AAOA8AACovQAAUD0AAIY-AADgPAAA2L0AAIA7AADgPAAAyD0AAKA8AADgvAAAmL0AAIq-AACOvgAAkr4AAMi9AABwPQAAgLsAAHy-AAAMvgAAJD4AABC9AAAUvgAA4LwAADQ-AACgPAAA6D0AABw-AACGvgAAqL0AACE_AACWPgAAMD0AAAQ-AABwvQAA4LwAACQ-AADgPCAAOBNACUh8UAEqjwIQARqAAgAAmL0AAJg9AABQvQAADb8AAMi9AACgvAAAbD4AAOA8AACIPQAAED0AAAy-AACOvgAAUD0AACy-AAAsPgAA4LwAACQ-AAD-PgAAXL4AAJI-AABQvQAAED0AAKi9AACYvQAA2D0AABQ-AACAuwAA4DwAAFC9AADgPAAAML0AAEw-AABUvgAABL4AAOi9AAAwPQAAbD4AAEw-AAA0vgAABL4AAHA9AACgvAAAoLwAAMg9AACAuwAAiL0AAH-_AACAOwAAZL4AAAQ-AAAQPQAAoLwAAJi9AADoPQAA4DwAAKg9AACgPAAAUD0AAMi9AAAUPgAA6D0AAPi9AAD4PQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=byUUsaehP4o","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15038643872105343243"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3735221043790733782":{"videoId":"3735221043790733782","docid":"34-5-4-Z11933DB825F1EEDD","description":"How is that possible?","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4258515/dd814779395ab976734db902a20822dc/564x318_1"},"target":"_self","position":"5","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqHP2gmUJtTc","linkTemplate":"/video/preview/3735221043790733782?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"related_category":"series","text":"Dr. Lee's Math Series, Easy Calculus (16) - Elliptical orbit by a single gravity. Really?","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"category\":\"series\",\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qHP2gmUJtTc\",\"src\":\"serp\",\"rvb\":\"Eq8DChM5NTUzMjczMTEzNDAwMDg0NzI0ChQxMjEyMjY4MjYyMDg1NjQxMDM2MQoTODYxNDU0OTkzNjAzODE5MTYyMQoUMTUwMzg2NDM4NzIxMDUzNDMyNDMKEzM3MzUyMjEwNDM3OTA3MzM3ODIKFDEzNDY4NTAyMDgwMzU1OTczMzIxChM2NTAxNTUzOTUxNTcwMDAyMTc0ChMzNzIwNTQzMDExNzE4MDEwMzMzChQxNjI0NTc4NTM4MjY5MzQ1NTMxNAoTMTc3MDczMDUzMzk4ODY2OTEwNQoUMTEyNDUyODA0MjY3NjQwODY2MzcKFDE1MzkwODg4MDc5NjI1NjAyOTM5ChMxMDI4MzEyMjYwNDg3NzIxODg0ChQxMDcwNTAwNTA4NjAxODY0NjgzMgoUMTY1MzAwMzMzNDA4NDI4NzAzOTcKFDE4NDI4ODQyODMxMTA3MjIxMzExChQxMjEwMzc2NDc4NzM1MzQ0MDA3MwoTMTk3OTc0MzAzOTU5OTA3MDY4MQoUMTMxMTgyMTI4MjM2MDQyMzcyNTcKEzQ3OTYxNzA1MDg0NzI4NDIwNDEaFQoTMzczNTIyMTA0Mzc5MDczMzc4MloTMzczNTIyMTA0Mzc5MDczMzc4Mmr9BhIBMBgAIkUaMQAKKmhoenBpa3VveGdzcWNka2RoaFVDdFdfbllnZDc5MHZEY2swb0ZPbzdsZxICABIqEMIPDxoPPxOPCIIEJAGABCsqiwEQARp4gfz3-wAAAQDx-hIFBgT-AQYH-AD3__8A7P0BBQkAAAAJ__r4_wEAAPsF9fz_AAAA8Ar2CfcAAQAR-_74AwAAABP5Av73AAAAAhX0-P8BAAAI__UKBP8AABP2D_3_AAAABQfzAQAAAADx_PgAAAAAAAEACfb_AAAAIAAtBm7UOzgTQAlITlACKnMQABpg6QwAFfTp88j3PsTt9b4zAEb_B8btT_8f3__8FfC3CSOW5AdJ_xLiJfmiAAAA2gbxGtgA43_33c3bFtMVrvPLVvp0-wDftBbd8voM-SIMJwIK_w9mAIgeAO4RtQAo4EAaIAAtp1cXOzgTQAlIb1ACKo8CEAAagAIAABy-AABAvAAAlj4AAMg9AABwPQAAhj4AAEw-AAC-vgAAfL4AAHA9AAA0vgAAuD0AABA9AABMPgAALL4AAOA8AACCPgAAcD0AAPg9AAD-PgAAfz8AANg9AACovQAAhj4AADS-AAAwvQAABD4AANi9AAAMPgAAkj4AAJi9AAD4vQAAFL4AAGQ-AAAwPQAAgLsAAIg9AAB0vgAArr4AAES-AAB0vgAAED0AAOg9AAD4PQAALL4AADS-AACAOwAAQDwAAKg9AAAQvQAAbD4AACw-AACoPQAAxj4AAEy-AACovQAAIT8AACw-AAC4vQAAkj4AAHC9AABAPAAABD4AACS-IAA4E0AJSHxQASqPAhABGoACAAAwvQAA4DwAAJi9AAA1vwAAkr4AAHC9AABUPgAAQDwAAKA8AACgvAAAfL4AAIa-AACIvQAADL4AANg9AAAwvQAAuD0AAPo-AAAcvgAA1j4AAMi9AACYvQAAdL4AALi9AAAwPQAAiD0AALi9AAAQvQAAgLsAALg9AADIvQAAHD4AABC9AACOvgAAyL0AAKg9AABMPgAAmD0AAOi9AADgvAAAUL0AAEC8AAAEvgAAFD4AAKi9AADYvQAAf78AAIi9AABkvgAAJD4AAOg9AACgvAAAmL0AACQ-AACovQAAiD0AAKC8AAC4PQAAcL0AAAw-AABkPgAAmD0AAFQ-AACIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=qHP2gmUJtTc","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3735221043790733782"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13468502080355973321":{"videoId":"13468502080355973321","docid":"34-11-3-Z337C8B3005D771C4","description":"Leibnitz's Integral method is useful in physics and various integration of function. Let's understand what it is and how to use it. https://www.iklearn.com...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4003330/30956c6c4484bee8815a32a680ffe51c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/15Fb1QAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlXJhug3E3a4","linkTemplate":"/video/preview/13468502080355973321?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Leibnitz's Theorem, The Integral Formula","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lXJhug3E3a4\",\"src\":\"serp\",\"rvb\":\"Eq8DChM5NTUzMjczMTEzNDAwMDg0NzI0ChQxMjEyMjY4MjYyMDg1NjQxMDM2MQoTODYxNDU0OTkzNjAzODE5MTYyMQoUMTUwMzg2NDM4NzIxMDUzNDMyNDMKEzM3MzUyMjEwNDM3OTA3MzM3ODIKFDEzNDY4NTAyMDgwMzU1OTczMzIxChM2NTAxNTUzOTUxNTcwMDAyMTc0ChMzNzIwNTQzMDExNzE4MDEwMzMzChQxNjI0NTc4NTM4MjY5MzQ1NTMxNAoTMTc3MDczMDUzMzk4ODY2OTEwNQoUMTEyNDUyODA0MjY3NjQwODY2MzcKFDE1MzkwODg4MDc5NjI1NjAyOTM5ChMxMDI4MzEyMjYwNDg3NzIxODg0ChQxMDcwNTAwNTA4NjAxODY0NjgzMgoUMTY1MzAwMzMzNDA4NDI4NzAzOTcKFDE4NDI4ODQyODMxMTA3MjIxMzExChQxMjEwMzc2NDc4NzM1MzQ0MDA3MwoTMTk3OTc0MzAzOTU5OTA3MDY4MQoUMTMxMTgyMTI4MjM2MDQyMzcyNTcKEzQ3OTYxNzA1MDg0NzI4NDIwNDEaFgoUMTM0Njg1MDIwODAzNTU5NzMzMjFaFDEzNDY4NTAyMDgwMzU1OTczMzIxaoQJEgEwGAAiRRoxAAoqaGh6cGlrdW94Z3NxY2RrZGhoVUN0V19uWWdkNzkwdkRjazBvRk9vN2xnEgIAEioQwg8PGg8_E-wEggQkAYAEKyqLARABGniB_QQJDf8CAPYBAfn7AQAB9gXv-fj9_QDzCQj79wH_AOrtCgAE_wAA8A8MAwYAAAD0DPr5AgAAAA4NAfoFAAAA9vX9BAQAAAACFPT4_wEAAPLz-PUCAAAADQkBBQAAAAD79gQEBAAAAAEKDf8AAAAAA_YJ-wAAAAAgAC047tc7OBNACUhOUAIqhAIQABrwAW8S_P_bDd8A5BW_AcQpCQCBIgr-CR7n_9ge_QLAA-MA7gbrAOT-2gD0C_4AqBELATDY0_8A3fYAOunp_y37BgDy_woAI9b0AT3y7ADw49z_3gwK_vjmEAAX2dUDBCLc_hQAKf3y_OT6_-fNABfnKgLpDjABKvwjAeTeEv3WFAIB_Ofg_fL2_v4K4g74sP4aBx3N_f4I5AH_7Q8G-vv15v0G8vz5AxjlBSj99AffD_j2_8_tAhf2_QXoAhIG3hcD_trzKwXy9P79Hwf39Q_o8wXV4fYM6N8FEBnkAALszgDxBO7_9fIL_PwCAv4ABQ33AiAALf8hHTs4E0AJSGFQAipzEAAaYB4KACz5FMYR-Bby8dL-EePOEwblzwv_Fu0AAA3X9RH5z80AB_8TuRj3sgAAABvaGRXMAPdoAM709_QT9f6i41YYfxQEPqq7JejqtuMBJvMJFhz6MwDSL7UbKd3xGAQwEyAALTvpLTs4E0AJSG9QAiqPAhAAGoACAAAMvgAArr4AACw-AABAvAAAgLsAAJY-AABwPQAAKb8AAFS-AAAsPgAAFL4AAOi9AAC4vQAA5j4AAFC9AAAMvgAAlj4AAHA9AADIPQAA_j4AAG0_AACYPQAADD4AAJg9AACovQAAuD0AADQ-AABwvQAAcD0AABQ-AABwPQAAFL4AAIi9AAAcPgAAcD0AALi9AAAUPgAAqL0AAFS-AAAUvgAAiL0AACS-AACgPAAAoLwAAIi9AADgvAAAUD0AACS-AABsvgAAwr4AALg9AACoPQAAsj4AAJg9AACKvgAAML0AAH8_AABMPgAAuD0AADA9AABAPAAAiD0AABC9AABkviAAOBNACUh8UAEqjwIQARqAAgAAUL0AAIA7AABAvAAAQ78AAJi9AAAwPQAAvj4AAFC9AAAwvQAA-D0AAHC9AADYvQAA2D0AAKi9AADgPAAAUD0AAMg9AAAZPwAAyD0AAKo-AACYvQAA4LwAAIA7AAAcvgAAyL0AACw-AAAwvQAAmL0AAIi9AADoPQAAML0AAAw-AAAkvgAAhr4AADy-AACAOwAALD4AABC9AAAsvgAAgr4AAEA8AADYPQAAcD0AAPg9AAAwPQAATD4AAH-_AACSvgAAML0AAOg9AACSPgAA6D0AAKg9AAD4PQAAiL0AAKg9AACAOwAARL4AACQ-AACAuwAAnj4AAAS-AAB0vgAALL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=lXJhug3E3a4","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13468502080355973321"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"6501553951570002174":{"videoId":"6501553951570002174","docid":"34-1-12-Z4D3F9A452D9D630D","description":"技術屋のための英語 (1)ロボット腕の動きや数式を英語にする...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1588339/9da3b3e80b95984669e8e80af63a6065/564x318_1"},"target":"_self","position":"7","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DExhW6LKKops","linkTemplate":"/video/preview/6501553951570002174?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series 技術屋の英語を完全マスターする","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ExhW6LKKops\",\"src\":\"serp\",\"rvb\":\"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-Qb9Av0I-P34_v0A8_v9_AcBAADzAAAG_gAAAPwF9fwAAAAA_gnwAvf-AAAM-wb8BAAAABEEBvn4AAAABRQA-v4BAAAC-fwGA_8AAB0CB_v_AAAAFwb9__7__wALCPn8AQAAAP8BCgb_AAAAIAAtHePeOzgTQAlITlACKnMQABpg4xsAGilEHdgKKN7dFvkK-BcT8d_mEgAk9wA78vzLE_jj6B8I_-z8H97AAAAABw_t8gwA01kYCcMf-AMAsPMiAAp_DB3r9BP3-N896fHtHzIB__1NAM0H6PM39fsDAgI3IAAtmTFKOzgTQAlIb1ACKq8GEAwaoAYAACDBAABoQgAAEEEAAABAAACgQAAAQEIAABBBAACIwQAAjMIAADDBAACkQgAAyEEAAODBAACYQQAAUEIAAJDBAAAEQgAA-MEAAOBAAACmQgAAmkIAAEDBAAAMwgAAskIAAIA_AAC4wQAA0EEAACjCAAAYwgAAEEIAAJDBAAAwwQAAQEAAAEBAAAAAQQAAtkIAAKDAAADaQgAAnkIAADRCAADSQgAA0EEAALBBAAC4wQAAIEEAAFDBAABAwQAA8EEAAMJCAABwQQAAmMEAAADAAABgwQAAAMAAAIjCAAAAwAAAtMIAAIhBAADIQQAAQEIAAEBAAAAAwQAAEEIAAHjCAACowQAAuMEAAMDAAABAwgAADMIAAOjBAAAsQgAAVEIAAPDBAACGQgAAsEEAAJDBAABYwgAAgEEAAAhCAAAcQgAAsMEAADhCAAAAwQAAfEIAACDBAADyQgAAoMAAAJjBAADIwQAAUEEAAABAAACQwQAAwEAAAIC_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-AACqPgAA2D0AAIg9AACGPgAAHL4AAOK-AACovQAAgDsAAAQ-AACgPAAAuL0AAHw-AADoPQAAQDwAAKo-AACgvAAAqL0AAHw-AAB_PwAAHD4AABA9AAAEPgAAHL4AACS-AACgvAAAVL4AAJg9AADoPQAAUD0AAPg9AABwvQAA2D0AAAw-AAAMvgAAgLsAADC9AACuvgAA-L0AAJi9AAA0vgAAcL0AAEA8AAAsvgAAfL4AACQ-AADgvAAADL4AAFy-AABAvAAAUD0AAFQ-AABUPgAAhr4AAIC7AAApPwAAQDwAAKg9AAAsPgAA4LwAAIg9AACYPQAAML0gADgTQAlIfFABKo8CEAEagAIAAMi9AABMvgAAML0AAA-_AABQPQAAoLwAAAw-AAAcPgAAyL0AADC9AAC4vQAAuL0AADC9AAA0vgAAUD0AAFA9AACGPgAAAT8AAIi9AACyPgAADL4AAHw-AAAkvgAAyL0AAOA8AACAOwAAUD0AAPi9AACgPAAAmD0AAKA8AAAEPgAAQDwAAAS-AACAuwAAMD0AAAQ-AACIPQAAJL4AAAQ-AADYPQAAJL4AAMi9AABQPQAALL4AAFC9AAB_vwAABL4AAGS-AABwPQAA6D0AAOA8AADgvAAA4LwAANg9AAAQPQAAQDwAAIC7AACAuwAAJD4AAHC9AABcvgAA6L0AALg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ExhW6LKKops","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6501553951570002174"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3720543011718010333":{"videoId":"3720543011718010333","docid":"34-11-7-ZDCC62C0EE5771063","description":"Some circuit will be simplified in a smart way so Kirchhoff's theory will be much easier to apply. https://www.iklearn.com...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3827614/9e30605d975d9972e76f4b54418d12d5/564x318_1"},"target":"_self","position":"8","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1JX80lO5kQs","linkTemplate":"/video/preview/3720543011718010333?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Physics Challenge Direct Current (1) Solving a circuit question smart way","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1JX80lO5kQs\",\"src\":\"serp\",\"rvb\":\"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-QQD_QDw-_7_CQL_ARAUA_r1AgIA7AT8-AUAAAD4-v8FBQAAAOsL9ggGAAAA8Pj1_PkAAAABC_8GBQAAABD6_PT1AAAAA_z1CP8BAAD-__gADfsAABj7_P4AAAAA-RcI_P7_AADqBP30AAAAAB_-CAsAAQAAIAAtMYLKOzgTQAlITlACKnMQABpgC_MAESUeACT8KOrABsQ22fwU5AKsHv_z_P8DHxLJ8zOYuw7t_1-z_AyYAAAANQXc-RoADn9E1Bcb9wgW09T9-vR6tP7DHCAXGbdPMgA_ITXXLDh7ALQLACrtytZOGwEJIAAtmmIQOzgTQAlIb1ACKq8GEAwaoAYAAABBAADYQQAASEIAAIDBAABwQQAABEIAAL5CAAAwQQAAHMIAAMDBAADIwQAAikIAAHDCAABAQAAA0EEAAHDBAACKQgAAIMIAAPBBAABAQQAA-EEAAKDCAAB0wgAAIEIAAGBCAABYQgAAEMIAAADCAAAwwQAAwEAAALJCAACIQQAA0MIAAKjBAACIwQAACEIAALhBAACOQgAAQMEAAKpCAADQQQAAEMEAAAhCAAD4QQAAoEEAAOLCAACKQgAALEIAALhCAACgwQAAoEAAAMDBAACAwAAAMEEAAIBAAACgQAAAksIAADDCAACAwQAAEEEAAMBAAACMwgAAoMAAAAAAAADAQQAAAEEAABjCAACwwQAAQEEAAKhBAAAAQQAAmkIAAFjCAABwwQAA4EAAAEDCAAB4wgAAGMIAAATCAACYQQAAjMIAANhCAABMwgAAwEEAAGxCAAAAwAAAiMEAAOBAAACwQgAAwMEAAERCAAAYQgAADMIAAFjCAADgwQAAGMIAAIBAAAAIwgAAIEIAAGhCAABUwgAAsEEAAABAAABAwQAASMIAAEDAAACowQAAgD8AACjCAACYQQAAQEAAAHxCAACgQAAAoEEAAIjBAACIwQAAAEAAAFzCAABEwgAA6MEAAATCAAAEwgAAKMIAACTCAAAAQAAA-EEAACRCAACIwQAA8MEAAKjBAABAwAAAQMIAABDCAAA8QgAAEMIAAIC_AACAQQAAAEIAAGTCAABQwgAAoEAAACTCAACQwQAAoMAAACBBAACAvwAA0MEAABDCAAAAwQAAOEIAAEzCAADoQQAAmEEAANDBAADgQAAA0MEAAEzCAAD4wQAAXMIAAKBAAABcwgAAmMEAAABAAAAAwAAAAEIAAABCAAAUQgAAyEEAANhBAAAYQgAAEEIAAEDBAABAwQAACEIAANjBAAAgQgAADEIAAAzCAADwwQAAUEEAAGjCAAA8wgAAgEAAAIRCAAAcQgAAUMEAAFBBAABgwgAAXEIAAGTCAAAQwQAAHEIAABRCAADowQAAZEIAAFhCAABwQQAAQMAAAEzCAADAwSAAOBNACUh1UAEqjwIQABqAAgAAPL4AAFQ-AABMPgAAuD0AACQ-AACaPgAAJD4AAEu_AAB0vgAA4DwAADA9AAC6vgAAUL0AAHQ-AAAEvgAALD4AAIY-AAAwPQAAqj4AAB0_AAB3PwAApr4AAGQ-AACYvQAA6r4AADA9AABUPgAAmL0AADA9AABcPgAAbD4AANg9AADovQAAED0AANg9AAC4PQAAmL0AAIq-AABkvgAAZL4AACy-AACIvQAAoj4AAAS-AACmvgAARD4AAEw-AAAkvgAA-L0AALK-AADIPQAA2D0AACQ-AACuPgAATL4AADC9AAB_PwAAdL4AAJo-AABMvgAATL4AAKi9AACgvAAAML0gADgTQAlIfFABKo8CEAEagAIAAOC8AADYvQAAgr4AACu_AADgPAAAVD4AADQ-AAAQPQAANL4AAMg9AAAwPQAADL4AAIC7AAA8vgAAPD4AAKC8AACYPQAAET8AADy-AACiPgAA6L0AAAw-AABAvAAAML0AAKA8AABAPAAA4LwAADC9AAC4vQAA4LwAAJg9AADgPAAAiL0AAAy-AABAvAAA2L0AAKi9AACWPgAAbL4AAIi9AADYPQAAEL0AAPg9AACgvAAAcL0AAIA7AAB_vwAAoLwAAFA9AAC4vQAAyD0AAPi9AACIPQAA4LwAANg9AABQPQAAoDwAAFA9AAAwPQAAcD0AAHA9AAAwPQAAUL0AAEC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=1JX80lO5kQs","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3720543011718010333"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16245785382693455314":{"videoId":"16245785382693455314","docid":"34-4-10-ZD6F92753D63F320C","description":"数学は柔軟におこなわなければいけません...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3457855/2bc10156d8cb60ccf6989d5650edb453/564x318_1"},"target":"_self","position":"9","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRNoZ6U1pgnY","linkTemplate":"/video/preview/16245785382693455314?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series、入試の問題 -(19) i 乗 なんて、と思うかもしれません","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RNoZ6U1pgnY\",\"src\":\"serp\",\"rvb\":\"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_E5AEggQkAYAEKyqLARABGniBAvUACP0DAPv-DQT7Bv0C_Qj4_fj-_QD2-_v9_gL_AO79_AME_wAA_AL-_P4AAAAHEPwD9f0BAAz7BvwEAAAACgAH_PwAAAAFFAD6_gEAAAQC_gUD_wAAFf4GAwAAAAAPDAQBAAAAAAsI-fwBAAAA-_oHCgAAAAAgAC0d4947OBNACUhOUAIqcxAAGmDpFAAcJlMh1w0hx9cN8BX2Gwnzx9UF_zbyAD34-cwS5s7ZFxP_-v8a3bEAAAANBuD2FgC6bR78vS_xAvys5xkDPX_2IOr6BQfh0EX47vcRRAARB00AxRHs3Dfp-AkaAjYgAC3QgC47OBNACUhvUAIqrwYQDBqgBgAAYEEAAJhBAABQwQAAgL8AAIBBAABoQgAAYEEAADzCAABAwgAAMEEAAIZCAAAgwQAABMIAADDBAACIQQAA-MEAANhBAACYwQAAmMEAAAhCAACqQgAAAMIAAODAAAC-QgAAsMEAAKDAAAAAQQAAPMIAAIBAAADYQQAAMMIAAEBAAADAwAAAgD8AADDCAACAQgAAqMEAAN5CAABUQgAA0EEAAM5CAADwQQAAUEIAAEBAAAAgQgAA-MEAANBBAACwQQAAyEIAABRCAADgwAAA2MEAAMDAAABAwAAAHMIAACjCAACSwgAAAMAAAJDBAAB0QgAAiEEAADBBAACQQQAAjsIAABzCAAA4wgAA0MEAAK7CAAAgwgAAHMIAADRCAAAsQgAAUMIAADxCAADAQQAAKMIAAJTCAACAQAAA2EEAAAhCAAC4wQAALEIAAKhBAACUQgAAqMEAANpCAABgQQAAAEEAAMjBAACAvwAAMMEAALBBAAAAwAAAGMIAAADAAAAUQgAATMIAAMhBAABQQQAATEIAAIC_AACkQgAAwEIAAGTCAABYwgAAAEEAAAAAAACsQgAAKMIAABxCAABAQQAAoEIAAMDAAAD4QQAAQEIAAEDBAADgQQAAwMAAAABBAADIwQAAoMAAAMjBAACYwQAAHMIAABDBAACAwQAAgMEAALjBAADAwQAAqMEAAIA_AAC4QQAAoMEAAMBAAADgwAAAXMIAACjCAAAwwgAAFMIAAKzCAADIwQAAwEEAADBCAACIwQAAoEEAAIC_AAAIQgAA2EEAAERCAAAsQgAA-EEAAARCAABAwAAAwEEAABzCAAAgwQAAcEEAABDCAACIwgAAIEIAAJ7CAAAAAAAAGEIAAMjBAACIwQAAgD8AALRCAADwQQAA0MEAADDBAADoQQAAiEEAAIbCAACgQAAAuEEAAKhBAAAwQQAAiMIAAKDAAAAMQgAAAMIAAAzCAACEwgAAGEIAABBBAACEwgAAFEIAAHBCAAAgQQAAqMEAAEjCAAAAwAAAkEEAAEBAAACQwQAAFEIAAIrCAAAMQgAAZMIAAEjCIAA4E0AJSHVQASqPAhAAGoACAAAQvQAAuL0AAKo-AAD4PQAAoLwAAKY-AAAUvgAAzr4AAHC9AACAuwAAML0AAIA7AABAvAAAhj4AALi9AACYPQAAdD4AAEA8AACgvAAAfD4AAH8_AAC4PQAAgDsAAAw-AADovQAAmL0AAEC8AAAwvQAA4DwAAEA8AACAuwAAgDsAAHC9AACYPQAAqD0AAIi9AAAwPQAAmL0AAKq-AABMvgAAcL0AAMi9AABQPQAAEL0AALi9AABUvgAAyD0AADA9AACgvAAANL4AAPg9AADoPQAAdD4AAAw-AACSvgAAcL0AACE_AADYPQAAiD0AAMg9AADgvAAAgLsAAFA9AACgPCAAOBNACUh8UAEqjwIQARqAAgAAQLwAAFC9AACYPQAABb8AAEC8AACYPQAAcD0AAEQ-AADIvQAALD4AAPi9AAAcvgAA4DwAACy-AABQPQAA4DwAAGQ-AAAjPwAAmL0AAJY-AABcvgAA4DwAALi9AADYvQAAUD0AACw-AACoPQAAmL0AAOA8AAC4PQAAmL0AANg9AAAQvQAAyL0AAIi9AADIPQAADD4AADA9AADIvQAA4LwAAEC8AADIvQAAuL0AAKA8AAAsvgAAcL0AAH-_AAD4vQAAgr4AACQ-AAAwPQAA4LwAAIA7AADgPAAAQDwAAKC8AAAQPQAAoDwAAIi9AABcPgAAiD0AAFS-AABAvAAAcD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=RNoZ6U1pgnY","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["16245785382693455314"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1770730533988669105":{"videoId":"1770730533988669105","docid":"34-5-7-Z69C7DB2347B942A3","description":"Linialization でMatrixをつかって技術の問題を解決する...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4572022/3df45432e0becb7fd2a6ad8f3eb58633/564x318_1"},"target":"_self","position":"10","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKcBuvXbmzI4","linkTemplate":"/video/preview/1770730533988669105?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series 技術屋が使う英語 (4) Matrixと電子回路","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=KcBuvXbmzI4\",\"src\":\"serp\",\"rvb\":\"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-Qb9Av0I-P34_v0A9gD19AMC_wD0_QoI_AAAAP0C_AUBAAAABgf5-_n-AQAI_f79AwAAAA4D_v_9AAAABRQA-v4BAAD-APgGA_8AABMEEgIAAAAADQj5AP__AAANCAL8AQAAAPv6BwoAAAAAIAAtHePeOzgTQAlITlACKnMQABpg3RIAESRG_tMYJOjKFvYE9AgN5ffbEgAL9gBI6fO9Gvze9wwR__TkHtm9AAAABf_v-yMAyVn99tsxBAsDuuMmBBZ_GRPyAwb8ANxH7PfrDULl-vItAN_r8fBFD-4KEBU0IAAt23lGOzgTQAlIb1ACKq8GEAwaoAYAACDBAAB4QgAAwEAAAIC_AAAwQQAAOEIAAIBBAAAAwQAAhsIAAIDAAACkQgAAuEEAAADCAABQQQAASEIAAKDBAAAEQgAABMIAAFBBAACeQgAAnkIAAIjBAAAgwgAAqEIAAIBAAADgwQAAoEEAADTCAAAowgAADEIAAKjBAACQwQAAAAAAAIBAAACgwAAApEIAAKDAAADcQgAAnEIAAEhCAADQQgAA-EEAAMhBAACwwQAAMEEAAKjBAABwwQAA-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-EEAALBBAABEwgAADEIAAFTCAABAwiAAOBNACUh1UAEqjwIQABqAAgAAoLwAANi9AAC2PgAAuD0AABw-AADWPgAALL4AAAG_AAAEvgAAMD0AAOg9AAAwvQAAmL0AAI4-AAAQPQAAMD0AAJY-AACAOwAAQDwAAJo-AAB_PwAADD4AAFA9AAAsPgAA-L0AAPi9AAAwPQAAZL4AACw-AABkPgAAMD0AAOA8AADovQAA2D0AAJg9AAD4vQAAyL0AAAy-AADOvgAAXL4AAAy-AAB8vgAAqL0AAKC8AABcvgAAXL4AAGQ-AABwvQAAyL0AAIq-AACgPAAAqD0AACQ-AAA0PgAAmr4AABC9AAA3PwAAED0AABw-AAA0PgAAoLwAAHA9AACIPQAA2L0gADgTQAlIfFABKo8CEAEagAIAAPi9AAAwvQAAcD0AAAW_AABAPAAAQDwAABw-AADoPQAA4LwAANg9AADYvQAABL4AAJg9AADYvQAAyD0AAKA8AABkPgAADT8AABC9AADCPgAA2L0AABQ-AADovQAAuL0AAOA8AAAQPQAAHD4AAHC9AADgvAAAuD0AAOC8AAD4PQAAgLsAAKi9AABwvQAAED0AALg9AACoPQAABL4AALg9AABAvAAA2L0AAEA8AAAQPQAA-L0AAHC9AAB_vwAAcL0AAHS-AADIPQAAcD0AABA9AACAOwAAMD0AAKg9AAAwPQAA4DwAAEC8AABAvAAAPD4AAEC8AABsvgAA4LwAAMg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=KcBuvXbmzI4","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1770730533988669105"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"11245280426764086637":{"videoId":"11245280426764086637","docid":"34-10-1-Z8829E9DF579A9EC4","description":"指数の数字はいろいろ制限されているので、こたえが限られてきます...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3810141/9f5de8cca606297277ccbfe24ab007d3/564x318_1"},"target":"_self","position":"12","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DoyeYIlGSxs4","linkTemplate":"/video/preview/11245280426764086637?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series、入試に出そうな問題 -(18) 指数の数字のクイズ","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=oyeYIlGSxs4\",\"src\":\"serp\",\"rvb\":\"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_E6UHggQkAYAEKyqLARABGniBAvUACP0DAPv-DQT7Bv0CAQvv__f-_QDz-_38BwEAAPL49wb7AAAA_AL-_P4AAAAHEPwD9f0BAAj9_v0DAAAAEQQG-fgAAAADCgL6_gEAAAQC_gUD_wAAHQIH-_8AAAAXBv3__v__AAwP_wIBAAAAAAACBgAAAAAgAC0d4947OBNACUhOUAIqcxAAGmDjEgAgLE0t1hkiz9wR9BjyERrsyd8E_y_nAEj1Bc4M897mHwz_AfQW2bUAAAAOEfH8DQDPaR4VvS35Bgqo3Bz5LX_-Le8CBxTs1z796esTOgIF70sAwArc7UDc_QgA-TcgAC35-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-AADYPQAAMD0AAL4-AAAEvgAA1r4AABC9AACgPAAAoDwAAOA8AACgPAAAgj4AAAy-AACYPQAAdD4AAOA8AABAvAAAdD4AAH8_AAD4PQAAoLwAAFw-AAD4vQAAUL0AADA9AAC4vQAAQDwAAIC7AABAPAAAoLwAAPi9AAAQPQAABD4AAKi9AABwPQAAmL0AALa-AAA0vgAAqL0AANi9AACgPAAAUD0AABS-AAB0vgAAuD0AABA9AACAOwAA6L0AALg9AADoPQAAfD4AACw-AABsvgAAcL0AAB0_AADoPQAAqD0AAMg9AADgvAAAoDwAAOA8AABAPCAAOBNACUh8UAEqjwIQARqAAgAAUD0AAHC9AADIPQAA-r4AADC9AADgPAAAMD0AAEQ-AACYvQAAHD4AAOi9AADYvQAABD4AABy-AACgPAAAED0AADQ-AAApPwAAmL0AAII-AAA0vgAAML0AAJi9AADIvQAAUD0AACQ-AABQPQAAyL0AALg9AADIPQAA2L0AAOg9AACovQAA-L0AAAS-AAAsPgAABD4AAEC8AABwvQAAqL0AAKC8AACovQAAmL0AAKA8AACIvQAAUL0AAH-_AADYvQAAXL4AAIg9AACIPQAAoLwAAEC8AACgPAAAiL0AAIA7AACgPAAAML0AAKi9AAB8PgAAmD0AAJa-AACYvQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=oyeYIlGSxs4","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["11245280426764086637"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"15390888079625602939":{"videoId":"15390888079625602939","docid":"34-9-1-Z5FE11598FCD181CD","description":"電場と磁場が同じものであることが特殊相対性理論で証明されます。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2805978/9eab8ca825ee53149584cf0eb7df1498/564x318_1"},"target":"_self","position":"13","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7lZWHOQzHI4","linkTemplate":"/video/preview/15390888079625602939?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series マックスウェルと相対性理論の関係","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7lZWHOQzHI4\",\"src\":\"serp\",\"rvb\":\"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_E8MIggQkAYAEKyqLARABGniBAvUACP0DAPkHCwb5Bv0C_Qj4_fj-_QDz-_38BwEAAPMAAAb-AAAA_AL-_P4AAAD-CfAC9_4AAAz7BvwEAAAAEQQG-fgAAAAFFAD6_gEAAAL5_AYD_wAAHQIH-_8AAAAXBv3__v__AAsI-fwBAAAA_wEKBv8AAAAgAC0d4947OBNACUhOUAIqcxAAGmDlHAAaLEMd3Aop2toX9g35GRLv3eYQACfzADrwAM0S9uXqHwn_7v4d3b8AAAAHD-bzCwDSWxsJwyD5AgCt7h_-Dn8JH_L4Fvz32ULw9u4kNP0D-ksAzgrh8zb3-QX__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-AAAEPgAAED0AAL4-AAAMvgAA2r4AAKi9AADIPQAAcD0AABA9AAAwvQAAdD4AAJi9AABAPAAAdD4AAOC8AACgPAAAhj4AAH8_AAAEPgAA4DwAAEw-AABwvQAA4LwAAFC9AACovQAAMD0AAKg9AABAvAAAgDsAANi9AADoPQAAqD0AACS-AAAwPQAAuL0AAKa-AAA0vgAAqL0AAES-AACAuwAAoDwAAEy-AACCvgAABD4AAKA8AABQvQAAHL4AAPg9AACAOwAAgj4AABw-AACWvgAAML0AACM_AADoPQAAmD0AAJg9AADYvQAAoDwAAHA9AACAuyAAOBNACUh8UAEqjwIQARqAAgAAiL0AABy-AAAQPQAACb8AAEA8AACAuwAAqD0AAJg9AAC4vQAAyD0AABS-AAC4vQAAqD0AACy-AACYPQAAED0AACw-AAAjPwAABL4AAJ4-AABMvgAAMD0AAPi9AADYvQAAUD0AAOg9AABwPQAAuL0AAOA8AACYPQAAcL0AAAw-AADgvAAAPL4AAEC8AAAEPgAAFD4AAHA9AADovQAA4LwAAEA8AAD4vQAA2L0AAKA8AAAcvgAA-L0AAH-_AAA8vgAAhr4AAIg9AAC4PQAAEL0AAKA8AABAPAAAQLwAAIC7AACgPAAAQDwAAIi9AABcPgAAmD0AACS-AACAuwAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7lZWHOQzHI4","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15390888079625602939"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1028312260487721884":{"videoId":"1028312260487721884","docid":"34-1-2-ZF6803569FF76EAC7","description":"ほかの国の月探索の状況も併せてまとめを説明します...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1532937/431b5e7051da79d46f59db2c42ae1525/564x318_1"},"target":"_self","position":"14","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiQN3ytTVPJM","linkTemplate":"/video/preview/1028312260487721884?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series 月の探索状況。iSpace の現在。 月に関してわかっていること","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iQN3ytTVPJM\",\"src\":\"serp\",\"rvb\":\"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_AQsM9ff1AAAA8QH3AgcB_wDq-AUF_P8AAPf7_QL-AAAACBH8A_X9AQAM-RQAAwAAAA_9CfL9AAAAAhX0-P8BAAAH__gAA_8AAB4CCPv_AAAADgj5AP__AAAMCPj8AQAAAAL3BgcAAAAAIAAtHrbSOzgTQAlITlACKnMQABpg7x4AGCtB-ur1PM_cEwgb9gQf2sTVAv879QAr_vnG_Qvu2SEO_-n2Js-3AAAACfveA_8A0GIx56sY-yESrOEhHw1_8BDs_CEI78830fbrKD3yKAcjAM4B9eYr9_Yd7RknIAAtibo2OzgTQAlIb1ACKq8GEAwaoAYAAIBAAABIQgAAAEEAAABBAADAQQAA6EEAADBBAADQwQAAhMIAAABAAACEQgAAQEEAACjCAABAQQAAeEIAANDBAAAUQgAAGMIAAIC_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_AADAQQAAwEAAAJ7CAAAQwQAA4EEAABDBAAB0wgAANMIAAPhBAAAsQgAAyMEAANBBAABcQgAAAAAAAEBAAAAgwgAAwMAAAEBCAABQwQAAiEEAAJBBAABwwgAA6EEAAILCAABkwiAAOBNACUh1UAEqjwIQABqAAgAAiL0AANi9AACiPgAAmD0AAOC8AACePgAAXL4AAOa-AABQvQAAyD0AAOC8AABAPAAAoDwAAII-AACYvQAAgDsAACQ-AABAPAAA4DwAAIY-AAB_PwAAND4AAEA8AABUPgAA6L0AADC9AABAvAAA2L0AAOA8AABwPQAAcL0AAFA9AAAwvQAA-D0AAHA9AADgvAAAuD0AAJi9AACOvgAARL4AAMi9AADIvQAAoDwAAKC8AAD4vQAATL4AADA9AAD4PQAAgLsAAES-AABMPgAAMD0AAJo-AABsPgAArr4AAIi9AAAxPwAAuD0AAIA7AAC4PQAAmL0AAIC7AACYPQAAgLsgADgTQAlIfFABKo8CEAEagAIAAKi9AAD4vQAAHD4AAAu_AACYPQAAQDwAAEA8AAD4PQAAPL4AADw-AACovQAAFL4AAFA9AAAkvgAA4DwAAIC7AAAkPgAAPz8AAIi9AABkPgAAPL4AAEA8AACgvAAAyL0AABA9AABQPQAAmD0AADC9AAA0PgAAqD0AADC9AAD4PQAAyL0AABy-AABAvAAA-D0AAAQ-AAAwPQAAyL0AAEC8AAAQPQAAFL4AACS-AABAvAAATL4AAIC7AAB_vwAALL4AADy-AAAEPgAAMD0AADC9AACoPQAAQDwAAIA7AAAwvQAAMD0AAOg9AACYvQAAFD4AAFA9AAA0vgAAgDsAAEC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=iQN3ytTVPJM","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1028312260487721884"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10705005086018646832":{"videoId":"10705005086018646832","docid":"34-4-16-Z1ECB909B2D1EEE99","description":"投げかけました。","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/406746/707b9a54476b186fa9f94f88479bff55/564x318_1"},"target":"_self","position":"15","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D1DkRDv7TQgs","linkTemplate":"/video/preview/10705005086018646832?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Dr. Lee's Math Series アインシュタインも負けをみとめたPhotonの不思議。 わからないことだらけ","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=1DkRDv7TQgs\",\"src\":\"serp\",\"rvb\":\"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_E7gOggQkAYAEKyqLARABGniB-_oBBP4CAPQEBQH5A_8BAAP_-Pj-_gDy-_38BwEAAOwJAgb7AAAA9_v9Av4AAAAIEfwD9f0BAAz7BvwEAAAAEgQG-fgAAAD8DgX-_wEAAP4A-AYD_wAAHQII-_8AAAANAP37__8AAAwI-fwBAAAABf4LDQAAAAAgAC3CpNo7OBNACUhOUAIqcxAAGmDtEwAhNkAmzRkqyNYX_DD1ECzZ1_sL_y8AACn7AOIT_NfPBgb_6OgT0LUAAAADD-UGFADCaRv7yB38GwegwAv0Gn8HKgofIP_x1Dwi7ewbH_8I_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-EEAACDCAAAAQgAAgL8AALBBAADgQAAAfMIAAKBAAACgQQAA0EEAAFzCAAAMwgAAFEIAAEBCAACIwQAAgEAAAEBBAABAQQAAUMEAAFTCAACowQAAFEIAAIDBAADgQQAAoEAAAEzCAADAQQAAlsIAAGTCIAA4E0AJSHVQASqPAhAAGoACAACovQAADL4AAK4-AADYPQAAED0AALY-AADYvQAAD78AAIi9AABwPQAAgLsAAFA9AABwvQAAqj4AAOC8AADYPQAAdD4AAIA7AABAPAAAnj4AAH8_AADoPQAAiD0AANg9AACovQAAuL0AAIC7AAAEvgAA2D0AAPg9AABAPAAAuD0AAMi9AADoPQAAUD0AAMi9AADgPAAAEL0AAJq-AADovQAAyL0AAAS-AACgPAAAUD0AAJi9AACGvgAA6D0AALi9AABwvQAAPL4AAEw-AAC4PQAAbD4AAOg9AACGvgAAEL0AADE_AAAMPgAA4DwAAJg9AAAwPQAAcD0AAIg9AACYvSAAOBNACUh8UAEqjwIQARqAAgAAMD0AAKC8AACgPAAAwr4AABy-AABAvAAAMD0AAJY-AAAMvgAAFD4AACS-AAAkvgAA6D0AAES-AADgPAAAcD0AAI4-AAAbPwAAqL0AAKY-AABUvgAAyD0AADS-AAAcvgAA4DwAAHA9AAAUPgAAqL0AADA9AAAQPQAAcL0AAPg9AACIvQAAqL0AAHC9AAAUPgAAgj4AAPg9AADYvQAAUL0AAEA8AADovQAAXL4AAEA8AADIvQAAgDsAAH-_AACCvgAA2r4AAPg9AAAUPgAAiD0AAEA8AACAOwAAQLwAAIC7AABAvAAAyD0AAJi9AACSPgAAoDwAAPi9AAAwvQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=1DkRDv7TQgs","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10705005086018646832"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"16530033340842870397":{"videoId":"16530033340842870397","docid":"34-4-13-Z7CEA9F87805FC023","description":"Hello friends in this video you will learn the basic concept of math and physics in this video you will learn logarithm values , (Deci Centi Milli Nano Pico Femto Atto ) values , Fraction Addition...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1773533/325fac48c71a6c83e4958a2833665b01/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/5vJpCQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmzDsVivMaGA","linkTemplate":"/video/preview/16530033340842870397?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"math and physics | Important Math and Physics Facts everyone should know","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mzDsVivMaGA\",\"src\":\"serp\",\"rvb\":\"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-_UO_gcF_QEH_wDv9___AOMC8PcD_AIAAvAE__oBAAAVCO8JAAAAAPIE_gL5AAAABQLsBwIAAAAJCP_29wAAABwS_wD-AQAA-fj9BgT_AAATCAPz_wAAAAsIA_n-_wAAABAN9QAAAAAZCP8HAAAAACAALe3fzjs4E0AJSE5QAiqEAhAAGvABfwL6_9Xp4__22tcAyCP3AIUKK_80POD_tysrA73q3wEQEc4B0RTl_wL1CwD0JST_QPXJ_9vBDgAr1g7_J_b0__fyGgE92P0ALQr2AATW1gH__j7-Efgg_yr1_QA-Ifv-Dg8R_fH09QAP_9MDNe4gAhjsOwDoBd4CEOwCAM8pC_8Exen7EAzs_d8J0P_g9TAHDu76-vYb9fjjFfwGECTf__uu7P8d_8f7EuIDBw4TAAPgD_H279TmA_wmGwvBBPb6NP8n--bU9fcaDQsIBNED--_v_u8ECgoQAAcHAhToCfnk-AEJ_xcb88jb-Ab8DQQDIAAt-MYROzgTQAlIYVACKs8HEAAawAcHB9u-eQOMPMpnMTr1Cg88GjbnO1U9T73vLXY8GUeLPebqR7wP0vM9kO4svaAE0Tx5Xf-9BW5dvKdJADzFVYU-VDBvvZt_KrxxPVq-5xa_PYVMqLyJCxC-Nmquus6P-Ttg1ho9szaHPdzJFrzBfr498vfBvRetbbwrV8O9nWxevfqUCL3wVQY9zYR1veY1wLy3f4W959PZvNCP0DrjIi08_XV9veKJqrztyAI9KxI4PJE2I7xXXPy9f04hvVFgpru7L7I9Fjz7PKUFGrsK-DW8yPbQPGWdu7xJC_w8mQdVPUm6qDs5K8K9MGf2PG3nu7wT7lq9zo2pvI39m7s5Q0G-3vq1vVUwDTsprqo8lkquPfg_2buw4tS9dTbJPTyOVTy8bVA9kCX_uylptLw1Jdk9Mv6_u_G3_bxWZkU9DKhcPVtQ6byQJBC8EN-jPaZiAz0rA_08zbcZvbZvCby8e5u9TEVUPT4lQjzcix69A9J-PInACbzJdAg-exCHPcgO6LpECF49eXJyvCAkMLzFNUM9-FENvglvLLv54-67W2H6vYUCvju1kSY9f6swPbsdzLsVkFY9v16Wvd1DwrtPUoU8qTOivZmEi7zVoZk9Iq6YO2NvFLx_mbm7XEJ5vbOuF7z8ZYG9jqFSPN_rWrxfIE09-9x6PYeX1DtkDb29QzrcvdCRN7eVBd28-ZazPbdjh7rG_Fw8xo0WvSG1ojnMrC89xb2zvbqhxjpq2dq9I0PYvGyXozlzVlq9RxB4O9q5XTsmskU9o86cPC4lQzlMswy8QKP0PMQV5blvoqG9gMfmvL-mFzl1-YA962f7vFE5jbiyqz-9r8hUvXOuPrcHPuu8D1hDvXm9ArqxNFA9ZDOBPU0UNDl-Mza9pFCWvS6Do7cn94u95nkLPZ8LuLapYg89GwELvPEYyzgsTWU9N0y5PWPGVLiWUww9uzdQPJDJPrl9IKk91T2yPPVI9TirJog9z7eavfufhzl1bh-9c5xbPV7LYjeAnJA9SMCtPXy-4jhywmQ93_8CPWwNDDjl4rm8cWibveWtCDYitf-8zseQO6WJeLf0C0C8hUWwPTln6zhEr1U9f9h3vHMalTfiHJo8BSK6vG47hLeqH0W9Y9ANO4QIBTixFQQ-xv_4OzLZU7iqnse9ep2OvZJN1Tc0jHE8LxY2vp6ZCzk1rL692BFiPCTbaDjsA707fNQPvhf63LjK9HA9IuErPvHLijjyNiA9kRmePeMcYrjcf6Q8QoHSPOyAA7hp7AG9DE3jPD9pkzggADgTQAlIbVABKnMQABpgMfUAPgEj4s_wBM_k3Oca1OgczyYL4_8GEAAY6_jS-BvGxDkL_xXk9ui1AAAACQzO_gcA02jUy9so-c7_2dHoCvJ_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-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-AABQPQAAJL4AALo-AAADPwAANL4AAF2_AAAMvgAAHL4AALi9AACovQAAcD0AAHw-AABcvgAA2L0AAKI-AACgvAAA4DwAABk_AABJPwAAPL4AAKo-AAAwPQAA4DwAACy-AACKPgAABL4AAP4-AACOPgAAoj4AAHC9AABsvgAAoLwAAJg9AACIPQAAJD4AABS-AACavgAAhr4AADy-AABsvgAAdD4AAKC8AABwPQAABD4AACQ-AACivgAAUL0AAJq-AAD4vQAA5r4AAFw-AADoPQAAmL0AAEA8AAB_PwAAJL4AAEC8AADYvQAAdL4AABQ-AACAOwAAyL0gADgTQAlIfFABKo8CEAEagAIAANi9AACovQAALL4AAAu_AABQvQAAiL0AANo-AABwvQAA4DwAAKi9AACovQAAmL0AALi9AAAEvgAAmD0AAIA7AACIPQAA8j4AABS-AAD-PgAAHD4AAHA9AAB8vgAAmL0AAFC9AAC4vQAAoDwAAEA8AADgvAAAFD4AAMg9AADoPQAA6L0AAHC9AACYPQAA4DwAALg9AADYPQAAfL4AABQ-AACqPgAAcL0AADw-AADIPQAAqL0AAPg9AAB_vwAA2L0AAAy-AAA0vgAAgDsAAEw-AADgPAAAML0AAEQ-AAAkPgAAUL0AAFC9AABwPQAAuD0AAMi9AACAOwAAyL0AAHA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mzDsVivMaGA","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16530033340842870397"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":false,"contentTypeId":null,"censored":false},"18428842831107221311":{"videoId":"18428842831107221311","docid":"34-1-13-ZEE6F82A30476903D","description":"PDF link if you want a more detailed explanation: https://dibeos.net/2025/04/12/the-int... Visit our site to access all the PDF's and more: https://dibeos.net Inspired by Feynman Lectures on...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2840949/77c3207141c6a32840758e9727b3b3ab/564x318_1"},"target":"_self","position":"17","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dv24w7r555bA","linkTemplate":"/video/preview/18428842831107221311?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Core of Curved Spaces in Math & Physics","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=v24w7r555bA\",\"src\":\"serp\",\"rvb\":\"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_gAAAf8ACfEA__sG_gEMAPv69gAAANkB9v_6-AQA8voIAgQAAAAI_vEIAgAAAPT28_H9_wAAAQD-CAQAAAAT-QL-9wAAAAoH8_X_AQAA_ggDAAP_AAAJBQQB_wAAAP0G9_oCAAAA9gn49QAAAAAOEQIH_wAAACAALfSY0Ds4E0AJSE5QAipzEAAaYAIVAEQKIvmXBUTZ6vrtCBYHNvTh4Oj_EAr_6QM57Pww1MpP9f8Myi3JpQAAADTm8-f7AMB_y7aLGQwbK7btCB8YdNwI2SLqCOELANnU_xYVB-oFMgC7AsMTDBQUTfdiPyAALWilGTs4E0AJSG9QAiqvBhAMGqAGAACwQQAA2MEAACxCAAAQQgAAHMIAAMBBAABgQgAAssIAADzCAADAwQAABMIAAJpCAADIwQAAAMEAAOhBAAAgQgAAUEEAAKhBAACgwAAAqMIAACBCAADgQQAAMEIAAARCAACYQQAALEIAAHTCAABwwQAACEIAAIRCAAAAQQAAQMAAAPDBAAAgwQAAhMIAAOjBAAAQwQAA0EEAAKBAAAB0wgAAoMAAAABBAADQQQAALEIAALBBAADAwQAANEIAAEDBAABwQgAAsMIAACjCAAAAQAAAZMIAANBBAAA8wgAADEIAAAjCAADYQQAAMEEAALBBAACQwQAANMIAABzCAAAgwQAAKMIAAGxCAADgQQAARMIAAMBAAADQQQAAAAAAAIBBAAAIwgAApkIAAKhBAAAUwgAAsMEAAEDAAADQwQAADMIAAFDCAADoQQAAJMIAABjCAABEQgAAAMAAAEDCAACwQQAAukIAAGRCAADoQQAAAEEAAJDBAABQwQAAQMEAAHjCAABYQgAAAAAAAIxCAAAwwQAAiMEAAExCAAA4QgAAAMIAALzCAACUQgAAUEEAAIBCAABAwAAAVEIAAJRCAAB8QgAA6EEAAADCAABQwQAALEIAACTCAABAwQAAMMIAAJTCAACYwQAAYMEAAOhBAAD4wQAAEMEAAKDBAADgQQAANMIAAETCAAA8wgAACEIAAJDBAACowQAATEIAAAAAAAAgQQAALEIAAHRCAAAgwgAAVMIAAEBAAADgQQAAYMIAACBCAACiQgAAIEEAAJhBAACYQQAAKEIAAHBBAABIQgAAHEIAAFDBAABwwQAA7kIAADhCAACUQgAAksIAAJBBAABYQgAAUMIAAERCAAAQwQAABEIAAJBBAAAAwgAAAEAAAARCAAAkQgAAMMEAAIjBAADgwAAAEMEAAGBBAACQwQAANEIAAKhBAABQwQAAmEEAAJpCAAAEwgAA4EAAAEDBAACgQAAAoMEAACDCAADgwAAAxEIAACRCAADIQQAAMMIAAEBBAABQQQAAsEEAAODAAABAwgAAgkIAAMhBAAAwQQAAgMEgADgTQAlIdVABKo8CEAAagAIAAGS-AAAMvgAA2D0AAOA8AADgvAAA5j4AAIC7AADavgAADL4AAJI-AACYvQAAXL4AAFC9AAAkPgAAuD0AAHy-AAB0PgAAqL0AADQ-AACKPgAALz8AABA9AAA8PgAABD4AAKq-AADOvgAAZD4AAHS-AABAPAAAVD4AAJg9AABUvgAAED0AAKg9AACAuwAAur4AAOg9AABwvQAAwr4AABQ-AACovQAAVL4AAJo-AACAuwAAoDwAAL4-AADgPAAAHL4AAFC9AAABvwAADL4AAMi9AADyPgAABD4AAHC9AACAuwAAfz8AALi9AACIPQAAFL4AAOi9AAAwvQAAFL4AADy-IAA4E0AJSHxQASqPAhABGoACAAC6vgAAUL0AAAy-AAAhvwAAND4AAKi9AABcPgAAUL0AABA9AAAMvgAAEL0AADS-AACSvgAApr4AAEC8AACAuwAA2D0AAAk_AABsvgAAij4AAPg9AAAUPgAAyL0AAHC9AAAwPQAAcD0AALi9AACIPQAAyD0AAKA8AAAsPgAAHD4AAGS-AABAvAAALD4AAJi9AADWPgAAyD0AAM6-AAAQPQAAZD4AACS-AACYPQAA6D0AAPi9AADIPQAAf78AAIi9AACavgAAHD4AABC9AADYPQAAdD4AAJi9AADoPQAAQDwAAEC8AACIPQAAmD0AAEC8AADYvQAAoDwAABA9AAAcPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=v24w7r555bA","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18428842831107221311"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12103764787353440073":{"videoId":"12103764787353440073","docid":"34-7-3-ZEB459CCFE5FE47DE","description":"Mathematical physics by riley hobson review. Another videos: 🌟legendre transformation: • Legendre Transform & Hamiltons Canonical E... 🌟Quantum mechanics playlist: • Quantum Mechanics 🌟...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1668904/c75e1c1c2f7a0229f3170ca5c66f7d08/564x318_1"},"target":"_self","position":"18","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DDUHNDGGDufQ","linkTemplate":"/video/preview/12103764787353440073?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Physics Riley Hobson |Best book Mathematical physics Bsc & Msc Physics| #truthofphysics","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DUHNDGGDufQ\",\"src\":\"serp\",\"rvb\":\"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_E9MCggQkAYAEKyqLARABGniBAgr6BvwFAPv-Av8DBP4BCwD7-vcAAAD2APX1AgL_APjt_wYHAAAABAb3AQIAAADu_vkC-wEAAAQB9v4DAAAAEQQF-fgAAAAUBf8A_gEAAP37_fcCAAAACAUEAQAAAAD4Cgf7-_8AAP8IAwsAAAAAFwf_BgAAAAAgAC3BWuA7OBNACUhOUAIqcxAAGmAQAAArGf7qrEAi4eL55wDeDi_LCf3K__oJ_zT2A8zrO-XWQR4A-7AB968AAAABBtMNLAC-arXM3DAg6P7uyvAnJ38vEPMTQ_ENwjMy3uogQ__WGxUA0vTSBBsCyST-NyEgAC2wpCU7OBNACUhvUAIqrwYQDBqgBgAAsMEAAMhBAABUQgAANMIAAEzCAACQwQAAiEEAAMLCAADgwQAATMIAAAAAAABYQgAALMIAAABAAACaQgAAqEEAAOBAAACowQAAAMIAAHzCAACIQQAAQEEAAHTCAACMQgAAMEIAAODBAAAAQAAAQMIAAExCAAAEQgAA4MAAAPhBAAAowgAAKEIAAFjCAABwQQAAcMIAAFRCAACQwgAAQEAAADBBAABowgAAMMIAAGBBAABQQQAAUMIAAMDBAAC4wQAAbEIAAKjBAAAkQgAAIMEAAODAAADowQAAKEIAACBCAAC2wgAABMIAACDCAACoQQAAGEIAAFRCAAAswgAA4MAAAIZCAABQQgAAfEIAAEDAAACAQAAAcEEAAEBBAAA8wgAAhMIAAHBCAADgwQAAaMIAAMBAAABgwQAAEEIAAMDBAAAwwgAAYEEAADxCAAAAwAAA8MEAAJ5CAAAgwQAAgL8AAEhCAADowQAAwEEAAEBBAAAMQgAAQEEAAEBBAADmwgAANEIAAEDAAAAgwQAAYEEAAGBBAACgwAAAgD8AAMrCAAAcwgAAoMEAACRCAACQQQAA4MEAAFDBAAAEwgAA2EEAAADBAACAwQAAyEEAAARCAABoQgAAHMIAAIA_AAAYwgAAPEIAAHzCAAAUQgAAoMAAAL5CAAA0wgAAAEEAAJrCAABwwQAARMIAAPjBAAA8wgAAiEEAAEBCAAAwQQAAgD8AAFBBAACoQQAASMIAAOjBAABAwQAAAEIAAIhBAAAMwgAAwMAAAChCAABAQAAAoMAAAEDAAAAAAAAAoMAAABjCAADAQQAAQEAAAGRCAAAkQgAABMIAAHzCAACAQAAA_kIAAHjCAAAUQgAACEIAAKBAAAAsQgAAkMEAAIZCAADwQQAAmEEAAIDAAACWwgAAAEAAAIC_AAAIwgAAbEIAANhBAACgwQAAAMEAAFBBAAAIQgAADMIAAKBAAACAwQAAMMEAAEDAAAAAAAAAjsIAAIZCAAAowgAAyMEAAKjBAACQQQAAFEIAAJhCAABgQQAAqEEAANhBAACwwQAAnMIAAHDCIAA4E0AJSHVQASqPAhAAGoACAABsvgAALL4AALg9AADIvQAADD4AADM_AADovQAAU78AANa-AAC4PQAALD4AAMi9AAAsPgAAbD4AABC9AAAkvgAAdD4AAAS-AAB8PgAAAz8AAGU_AACavgAAAz8AAFy-AAAMvgAAlr4AAMY-AADgvAAAMD0AACQ-AADKPgAARL4AAPi9AAB8PgAAmj4AABS-AABQvQAAEL0AAK6-AADIvQAAZL4AANa-AAAcPgAAXL4AABy-AABAvAAA3j4AALK-AADIvQAASb8AAJq-AACyvgAARD4AAPi9AAAQvQAAgLsAAH8_AAC4vQAAZD4AAI6-AAA8vgAAuL0AAFC9AAC4vSAAOBNACUh8UAEqjwIQARqAAgAALL4AAHA9AACYvQAAE78AAJi9AACgvAAAHD4AAEC8AABMvgAAED0AAIA7AAB0vgAAoLwAAES-AAC4PQAAML0AALg9AAATPwAAyL0AAFQ-AAA8PgAA4DwAAJi9AACovQAA4LwAABC9AADgPAAA4DwAAHA9AADIPQAABD4AAEC8AADIvQAA2L0AAEA8AAAQPQAAiL0AAGQ-AABsvgAAQDwAAEw-AACAuwAAij4AAOA8AACYvQAA-D0AAH-_AABAPAAAML0AAOC8AAAsPgAA4LwAADw-AABwvQAAFD4AAOA8AACAOwAAgj4AAMi9AADgvAAAqL0AAFA9AABQPQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=DUHNDGGDufQ","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12103764787353440073"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1979743039599070681":{"videoId":"1979743039599070681","docid":"34-9-7-Z883408311E582E2F","description":"Math, physics, chemistry, and biology are the four pillars of science. Math is the language of logic and patterns. Follow our Social Media: Facebook: / freeanimatededucation #Fr...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3832451/e36c8b53cfe944a8ca4cfe3bac0f5b36/564x318_1"},"target":"_self","position":"19","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Db8qIXGA2lNg","linkTemplate":"/video/preview/1979743039599070681?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Why You Can’t Escape Math, Physics, Chemistry, or Biology!","related_orig_text":"Dr. Lee's Math & Physics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Dr. Lee\\u0027s Math & Physics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=b8qIXGA2lNg\",\"src\":\"serp\",\"rvb\":\"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_QkE_ADz_AkH9wX-AQj_AO73__8A4gLv9gP8AgAC8gQP_QAAAA8J8v78AAAA8gPq-vn_AAAEB_oI-AAAABD6_PT1AAAAGQr1Cf4BAAD49fQJBP8AAB8FCAkAAAAABA74_P__AADsEv_zAAAAABkI_wcAAAAAIAAtS-THOzgTQAlITlACKnMQABpgKw0A8B8v58wdOu7V6tILDBAoyhfo9P_dF_8L_8jBCxfAuiYf_xzXHeurAAAADAXcDwwA2GwByrkvAuce3s7PSQl__v_V9h7q8wQH1wICOi4FwiMgAOAD9wYQydgwCC45IAAtXZksOzgTQAlIb1ACKq8GEAwaoAYAABBBAACAwAAAcEIAAADAAAAAAAAAoEEAABRCAABQwQAAIMIAAETCAADgQQAAcMEAANDBAADYwQAAgD8AABBBAACgQAAAiEEAADjCAABMQgAAREIAAIDCAAAgwgAAiEEAACDCAACKQgAAgL8AAMBAAADgwAAAPEIAAKzCAABUQgAAAMAAAPDBAABowgAA4MAAAIjBAAD-QgAA4EAAAHDBAAAQQQAAgMAAAPZCAACAwQAAFMIAAEDCAABAwAAAIMEAAIDBAAD4wQAA-MEAAODBAABAQQAAgMEAAIZCAACgwQAAiMIAAEBBAACIQQAAKEIAADRCAABwwQAADMIAAEjCAAAwwQAA2MEAAPDBAAB8QgAAAEEAAODBAABIQgAAlEIAAAzCAACiQgAAsMEAAGzCAADcwgAAXEIAACDBAADwQQAAUMIAAFxCAABQQQAA4EEAALDBAAAMQgAAXEIAAHBBAADAQQAAQMAAAGjCAAC8QgAAQEEAAIDCAAAUQgAAWMIAAMjBAAAwQQAAdEIAACTCAAD4wQAAoEAAAODBAAAkwgAAksIAAJBCAADQwQAAEEIAAIhBAABEQgAAfEIAADzCAABAwgAA-MEAAADBAAAIwgAA4EAAAGzCAABQQQAA6MEAAOjBAAD4wQAAwEAAABTCAAC4QQAAqMEAAOjBAACQwQAAyMEAAIDBAACQQQAADEIAALjCAABIQgAAiEEAAEhCAABAwAAAwEAAALjBAAAgwgAAgL8AAHBBAAAEwgAA4EAAAK5CAABAQQAAPMIAAAxCAACAQAAAAAAAAHDBAAC4QQAAqMEAADzCAACYwQAAYMIAAABAAAAUwgAAoEEAAPBBAAAAwgAAJEIAALhBAAAcwgAAiEEAANjBAAC6QgAASEIAAEBBAACAwQAAJMIAABDBAABwQQAANMIAAFjCAADgQAAA2MEAAEDCAADAQAAAiEEAAMDBAACQwQAALMIAAFBBAAA4QgAAiMEAAEBAAACOQgAAUMIAAIA_AAA4wgAAhsIAAIC_AAAwwQAAAAAAAAAAAAAAQAAATEIAAAzCAABAQCAAOBNACUh1UAEqjwIQABqAAgAAMD0AAMg9AAAwPQAAqD0AABA9AABwPQAAgLsAAAe_AAA8vgAAiD0AAEC8AAAsvgAAiL0AAJ4-AABQPQAAbL4AAGw-AADYvQAAUD0AAK4-AAB_PwAAmr4AAHQ-AAAUPgAApr4AADS-AACOPgAAHL4AAEw-AABcPgAAHD4AAIi9AAAkvgAAZD4AAI4-AADgvAAAuD0AACy-AABsvgAAUL0AANa-AAA0vgAAfD4AABA9AAAsvgAA2D0AAJ4-AAAMvgAAmL0AAJK-AAB0vgAAFL4AAEQ-AADgPAAAmD0AAIA7AAArPwAARL4AAJg9AACgPAAANL4AAFQ-AAAMPgAAyD0gADgTQAlIfFABKo8CEAEagAIAAIi9AABQvQAAgr4AABe_AACovQAAUL0AACQ-AAAUPgAAmL0AAKg9AAAQPQAALL4AAOA8AACSvgAA6D0AADC9AAAMPgAA-j4AAKC8AACmPgAADD4AAFQ-AAAwvQAAEL0AAOA8AADoPQAAoDwAAIC7AAAwPQAAMD0AAFA9AADgvAAAcD0AAES-AABwvQAAiL0AAIC7AAAcPgAAXL4AAGQ-AAA8PgAAmL0AAGQ-AAAwPQAAUD0AAKg9AAB_vwAAED0AAGS-AAAwvQAAEL0AADC9AAAcPgAAuL0AAEQ-AAAQPQAAQLwAABC9AABQvQAAUL0AAKi9AAAQPQAAML0AAMg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=b8qIXGA2lNg","parent-reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1979743039599070681"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false}},"dups":{"9553273113400084724":{"videoId":"9553273113400084724","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series, AI basic - (2) Neural Network and Matric Computation","cleanTitle":"Dr. Lee's Math Series, AI basic - (2) Neural Network and Matric Computation","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=J4PjT-VCjgM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/J4PjT-VCjgM?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2288,"text":"38:08","a11yText":"Süre 38 dakika 8 saniye","shortText":"38 dk."},"date":"4 haz 2024","modifyTime":1717459200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/J4PjT-VCjgM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=J4PjT-VCjgM","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":2288},"parentClipId":"9553273113400084724","href":"/preview/9553273113400084724?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/9553273113400084724?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12122682620856410361":{"videoId":"12122682620856410361","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series, Calculus Drills (2) - Find the limit","cleanTitle":"Dr. Lee's Math Series, Calculus Drills (2) - Find the limit","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7pL7fFFv9Y8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7pL7fFFv9Y8?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"入試に出そうな問題","isVerified":false,"subscribersCount":0,"url":"/video/search?text=%E5%85%A5%E8%A9%A6%E3%81%AB%E5%87%BA%E3%81%9D%E3%81%86%E3%81%AA%E5%95%8F%E9%A1%8C","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"入試に出そうな問題. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":422,"text":"7:02","a11yText":"Süre 7 dakika 2 saniye","shortText":"7 dk."},"date":"19 ara 2023","modifyTime":1702944000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7pL7fFFv9Y8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7pL7fFFv9Y8","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":422},"parentClipId":"12122682620856410361","href":"/preview/12122682620856410361?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/12122682620856410361?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8614549936038191621":{"videoId":"8614549936038191621","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series, Easy Calculus (3) - Epsilon-Delta Logic to explain "...","cleanTitle":"Dr. Lee's Math Series, Easy Calculus (3) - Epsilon-Delta Logic to explain "Limit"","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-6aC4I1poKQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-6aC4I1poKQ?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1628,"text":"27:08","a11yText":"Süre 27 dakika 8 saniye","shortText":"27 dk."},"date":"25 ağu 2023","modifyTime":1692921600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-6aC4I1poKQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-6aC4I1poKQ","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":1628},"parentClipId":"8614549936038191621","href":"/preview/8614549936038191621?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/8614549936038191621?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15038643872105343243":{"videoId":"15038643872105343243","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series, Easy Calculus (13) - Vector Culculous","cleanTitle":"Dr. Lee's Math Series, Easy Calculus (13) - Vector Culculous","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=byUUsaehP4o","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/byUUsaehP4o?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2236,"text":"37:16","a11yText":"Süre 37 dakika 16 saniye","shortText":"37 dk."},"date":"6 kas 2023","modifyTime":1699228800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/byUUsaehP4o?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=byUUsaehP4o","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":2236},"parentClipId":"15038643872105343243","href":"/preview/15038643872105343243?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/15038643872105343243?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3735221043790733782":{"videoId":"3735221043790733782","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series, Easy Calculus (16) - Elliptical orbit by a single gravit...","cleanTitle":"Dr. Lee's Math Series, Easy Calculus (16) - Elliptical orbit by a single gravity. Really?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=qHP2gmUJtTc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qHP2gmUJtTc?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1039,"text":"17:19","a11yText":"Süre 17 dakika 19 saniye","shortText":"17 dk."},"date":"22 kas 2023","modifyTime":1700611200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qHP2gmUJtTc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qHP2gmUJtTc","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":1039},"parentClipId":"3735221043790733782","href":"/preview/3735221043790733782?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/3735221043790733782?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13468502080355973321":{"videoId":"13468502080355973321","title":"Leibnitz'\u0007[s\u0007] Theorem, The Integral Formula","cleanTitle":"Leibnitz's Theorem, The Integral Formula","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lXJhug3E3a4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lXJhug3E3a4?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":620,"text":"10:20","a11yText":"Süre 10 dakika 20 saniye","shortText":"10 dk."},"date":"23 oca 2019","modifyTime":1548201600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lXJhug3E3a4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lXJhug3E3a4","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":620},"parentClipId":"13468502080355973321","href":"/preview/13468502080355973321?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/13468502080355973321?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6501553951570002174":{"videoId":"6501553951570002174","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series 技術屋の英語を完全マスターする","cleanTitle":"Dr. Lee's Math Series 技術屋の英語を完全マスターする","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ExhW6LKKops","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ExhW6LKKops?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":714,"text":"11:54","a11yText":"Süre 11 dakika 54 saniye","shortText":"11 dk."},"date":"15 şub 2023","modifyTime":1676419200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ExhW6LKKops?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ExhW6LKKops","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":714},"parentClipId":"6501553951570002174","href":"/preview/6501553951570002174?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/6501553951570002174?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3720543011718010333":{"videoId":"3720543011718010333","title":"\u0007[Physics\u0007] Challenge Direct Current (1) Solving a circuit question smart way","cleanTitle":"Physics Challenge Direct Current (1) Solving a circuit question smart way","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1JX80lO5kQs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1JX80lO5kQs?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":250,"text":"4:10","a11yText":"Süre 4 dakika 10 saniye","shortText":"4 dk."},"date":"3 nis 2019","modifyTime":1554249600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1JX80lO5kQs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1JX80lO5kQs","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":250},"parentClipId":"3720543011718010333","href":"/preview/3720543011718010333?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/3720543011718010333?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16245785382693455314":{"videoId":"16245785382693455314","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series、入試の問題 -(19) i 乗 なんて、と思うかもしれません","cleanTitle":"Dr. Lee's Math Series、入試の問題 -(19) i 乗 なんて、と思うかもしれません","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RNoZ6U1pgnY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RNoZ6U1pgnY?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":528,"text":"8:48","a11yText":"Süre 8 dakika 48 saniye","shortText":"8 dk."},"date":"29 haz 2024","modifyTime":1719619200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RNoZ6U1pgnY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RNoZ6U1pgnY","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":528},"parentClipId":"16245785382693455314","href":"/preview/16245785382693455314?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/16245785382693455314?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1770730533988669105":{"videoId":"1770730533988669105","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series 技術屋が使う英語 (4) Matrixと電子回路","cleanTitle":"Dr. Lee's Math Series 技術屋が使う英語 (4) Matrixと電子回路","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=KcBuvXbmzI4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/KcBuvXbmzI4?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":737,"text":"12:17","a11yText":"Süre 12 dakika 17 saniye","shortText":"12 dk."},"date":"27 şub 2023","modifyTime":1677456000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/KcBuvXbmzI4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=KcBuvXbmzI4","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":737},"parentClipId":"1770730533988669105","href":"/preview/1770730533988669105?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/1770730533988669105?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11245280426764086637":{"videoId":"11245280426764086637","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series、入試に出そうな問題 -(18) 指数の数字のクイズ","cleanTitle":"Dr. Lee's Math Series、入試に出そうな問題 -(18) 指数の数字のクイズ","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=oyeYIlGSxs4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/oyeYIlGSxs4?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":933,"text":"15:33","a11yText":"Süre 15 dakika 33 saniye","shortText":"15 dk."},"date":"28 haz 2024","modifyTime":1719532800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/oyeYIlGSxs4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=oyeYIlGSxs4","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":933},"parentClipId":"11245280426764086637","href":"/preview/11245280426764086637?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/11245280426764086637?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15390888079625602939":{"videoId":"15390888079625602939","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series マックスウェルと相対性理論の関係","cleanTitle":"Dr. Lee's Math Series マックスウェルと相対性理論の関係","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7lZWHOQzHI4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7lZWHOQzHI4?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1091,"text":"18:11","a11yText":"Süre 18 dakika 11 saniye","shortText":"18 dk."},"date":"3 oca 2023","modifyTime":1672704000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7lZWHOQzHI4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7lZWHOQzHI4","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":1091},"parentClipId":"15390888079625602939","href":"/preview/15390888079625602939?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/15390888079625602939?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1028312260487721884":{"videoId":"1028312260487721884","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series 月の探索状況。iSpace の現在。 月に関してわかっていること","cleanTitle":"Dr. Lee's Math Series 月の探索状況。iSpace の現在。 月に関してわかっていること","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iQN3ytTVPJM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iQN3ytTVPJM?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1207,"text":"20:07","a11yText":"Süre 20 dakika 7 saniye","shortText":"20 dk."},"date":"5 oca 2023","modifyTime":1672876800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iQN3ytTVPJM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iQN3ytTVPJM","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":1207},"parentClipId":"1028312260487721884","href":"/preview/1028312260487721884?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/1028312260487721884?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10705005086018646832":{"videoId":"10705005086018646832","title":"\u0007[Dr\u0007]. \u0007[Lee\u0007]'\u0007[s\u0007] \u0007[Math\u0007] Series アインシュタインも負けをみとめたPhotonの不思議。 わからないことだらけ","cleanTitle":"Dr. Lee's Math Series アインシュタインも負けをみとめたPhotonの不思議。 わからないことだらけ","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=1DkRDv7TQgs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/1DkRDv7TQgs?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":"d3d3LnlvdXR1YmUuY29tO1VDdFdfbllnZDc5MHZEY2swb0ZPbzdsZw==","name":"Dr. Lee's Math & Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Lee%27s+Math+%26+Physics","origUrl":"http://www.youtube.com/@dr.leesmathphysics3298","a11yText":"Dr. Lee's Math & Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1848,"text":"30:48","a11yText":"Süre 30 dakika 48 saniye","shortText":"30 dk."},"date":"2 ara 2022","modifyTime":1669939200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/1DkRDv7TQgs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=1DkRDv7TQgs","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":1848},"parentClipId":"10705005086018646832","href":"/preview/10705005086018646832?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/10705005086018646832?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16530033340842870397":{"videoId":"16530033340842870397","title":"\u0007[math\u0007] and \u0007[physics\u0007] | Important \u0007[Math\u0007] and \u0007[Physics\u0007] Facts everyone should know","cleanTitle":"math and physics | Important Math and Physics Facts everyone should know","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=mzDsVivMaGA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mzDsVivMaGA?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":"d3d3LnlvdXR1YmUuY29tO1VDNlJQbmdLYzdwUE1QLXE4X04zUzIzdw==","name":"Hafiz Salman Khan","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Hafiz+Salman+Khan","origUrl":"http://www.youtube.com/@hafizsalmankhan","a11yText":"Hafiz Salman Khan. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":347,"text":"5:47","a11yText":"Süre 5 dakika 47 saniye","shortText":"5 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"27 haz 2022","modifyTime":1656335713000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mzDsVivMaGA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mzDsVivMaGA","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":347},"parentClipId":"16530033340842870397","href":"/preview/16530033340842870397?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/16530033340842870397?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18428842831107221311":{"videoId":"18428842831107221311","title":"The Core of Curved Spaces in \u0007[Math\u0007] & \u0007[Physics\u0007]","cleanTitle":"The Core of Curved Spaces in Math & Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=v24w7r555bA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/v24w7r555bA?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":"d3d3LnlvdXR1YmUuY29tO1VDM1oxclhDRkZhZEh3NjktUFpwUVJZUQ==","name":"DIBEOS","isVerified":false,"subscribersCount":0,"url":"/video/search?text=DIBEOS","origUrl":"http://www.youtube.com/@dibeos","a11yText":"DIBEOS. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":970,"text":"16:10","a11yText":"Süre 16 dakika 10 saniye","shortText":"16 dk."},"views":{"text":"9,8bin","a11yText":"9,8 bin izleme"},"date":"7 şub 2025","modifyTime":1738961815000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/v24w7r555bA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=v24w7r555bA","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":970},"parentClipId":"18428842831107221311","href":"/preview/18428842831107221311?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/18428842831107221311?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12103764787353440073":{"videoId":"12103764787353440073","title":"\u0007[Mathematical\u0007] \u0007[Physics\u0007] Riley Hobson |Best book \u0007[Mathematical\u0007] \u0007[physics\u0007] Bsc & Msc \u0007[Physic...","cleanTitle":"Mathematical Physics Riley Hobson |Best book Mathematical physics Bsc & Msc Physics| #truthofphysics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=DUHNDGGDufQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DUHNDGGDufQ?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":"d3d3LnlvdXR1YmUuY29tO1VDVl9xS29hdXJjdjIxM2JmQVFhRTBqdw==","name":"TRUTH OF PHYSICS","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TRUTH+OF+PHYSICS","origUrl":"http://www.youtube.com/@TRUTHOFPHYSICS","a11yText":"TRUTH OF PHYSICS. "},"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":"2,3bin","a11yText":"2,3 bin izleme"},"date":"12 eyl 2023","modifyTime":1694476800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/DUHNDGGDufQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DUHNDGGDufQ","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":339},"parentClipId":"12103764787353440073","href":"/preview/12103764787353440073?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/12103764787353440073?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1979743039599070681":{"videoId":"1979743039599070681","title":"Why You Can’t Escape \u0007[Math\u0007], \u0007[Physics\u0007], Chemistry, or Biology!","cleanTitle":"Why You Can’t Escape Math, Physics, Chemistry, or Biology!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=b8qIXGA2lNg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/b8qIXGA2lNg?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":"d3d3LnlvdXR1YmUuY29tO1VDYmFaYS1kVjdoOVFPTHpyenJZMzYzdw==","name":"Free Animated Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Free+Animated+Education","origUrl":"http://www.youtube.com/@FAEdu","a11yText":"Free Animated Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":592,"text":"9:52","a11yText":"Süre 9 dakika 52 saniye","shortText":"9 dk."},"views":{"text":"2,3bin","a11yText":"2,3 bin izleme"},"date":"2 mayıs 2025","modifyTime":1746144000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/b8qIXGA2lNg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=b8qIXGA2lNg","reqid":"1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL","duration":592},"parentClipId":"1979743039599070681","href":"/preview/1979743039599070681?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","rawHref":"/video/preview/1979743039599070681?parent-reqid=1765270808286799-3930644720770891185-balancer-l7leveler-kubr-yp-sas-218-BAL&text=Dr.+Lee%27s+Math+%26+Physics","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":"9306447207708911857218","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"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":"Dr. Lee's Math & Physics","queryUriEscaped":"Dr.%20Lee%27s%20Math%20%26%20Physics","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"}}}