{"pages":{"search":{"query":"Stokes-Line","originalQuery":"Stokes-Line","serpid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","parentReqid":"","serpItems":[{"id":"12639422227677858634-0-0","type":"videoSnippet","props":{"videoId":"12639422227677858634"},"curPage":0},{"id":"8037403058592199214-0-1","type":"videoSnippet","props":{"videoId":"8037403058592199214"},"curPage":0},{"id":"8996777880053689647-0-2","type":"videoSnippet","props":{"videoId":"8996777880053689647"},"curPage":0},{"id":"203351473735633517-0-3","type":"videoSnippet","props":{"videoId":"203351473735633517"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dFN0b2tlcy1MaW5lCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","ui":"desktop","yuid":"9286750441769533430"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"13242410516477656623-0-5","type":"videoSnippet","props":{"videoId":"13242410516477656623"},"curPage":0},{"id":"1757977937897466759-0-6","type":"videoSnippet","props":{"videoId":"1757977937897466759"},"curPage":0},{"id":"4217402395670227428-0-7","type":"videoSnippet","props":{"videoId":"4217402395670227428"},"curPage":0},{"id":"14868598073562414303-0-8","type":"videoSnippet","props":{"videoId":"14868598073562414303"},"curPage":0},{"id":"10907399425290175862-0-9","type":"videoSnippet","props":{"videoId":"10907399425290175862"},"curPage":0},{"id":"7564722095397625674-0-10","type":"videoSnippet","props":{"videoId":"7564722095397625674"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dFN0b2tlcy1MaW5lCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","ui":"desktop","yuid":"9286750441769533430"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"10678232737944650391-0-12","type":"videoSnippet","props":{"videoId":"10678232737944650391"},"curPage":0},{"id":"4311501714953088424-0-13","type":"videoSnippet","props":{"videoId":"4311501714953088424"},"curPage":0},{"id":"7210000648454495677-0-14","type":"videoSnippet","props":{"videoId":"7210000648454495677"},"curPage":0},{"id":"3230117114181860777-0-15","type":"videoSnippet","props":{"videoId":"3230117114181860777"},"curPage":0},{"id":"691781296113341405-0-16","type":"videoSnippet","props":{"videoId":"691781296113341405"},"curPage":0},{"id":"3959570492770357876-0-17","type":"videoSnippet","props":{"videoId":"3959570492770357876"},"curPage":0},{"id":"11589222920405909745-0-18","type":"videoSnippet","props":{"videoId":"11589222920405909745"},"curPage":0},{"id":"4765607596862332480-0-19","type":"videoSnippet","props":{"videoId":"4765607596862332480"},"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":"dFN0b2tlcy1MaW5lCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","ui":"desktop","yuid":"9286750441769533430"}}},"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%3DStokes-Line"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2753028645034240987283","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_viewer_heartbeat_disabled_in_no_js_api":1,"video_search_toggle_with_text":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"new_template_version":4,"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_no_islands":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_viewer_critical_error_codes":"101,102,103,100,151,152,153,154,155,156,150","video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"video_viewer_doc2doc_instant_load":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":1,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1472324,0,40;1472348,0,60;1466867,0,2;1457616,0,41;1424968,0,29;1460710,0,28;1459297,0,92;1472010,0,15;1472031,0,22;187287,0,71;50737,0,19;1461715,0,72;1463532,0,18;1373787,0,83;1466295,0,93;1465947,0,32;1466080,0,48;1452051,0,13;1349071,0,29;1454916,0,21;1470514,0,11;1472080,0,78;1467158,0,60;1469414,0,81;1357003,0,15;1002325,0,15;45971,0,67;124080,0,94;856305,0,0;151171,0,76;126330,0,1;1467836,0,99;1281084,0,77;287509,0,89;1447467,0,9;785124,0,4;1296808,0,12"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DStokes-Line","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Stokes-Line","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":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Stokes-Line","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Stokes-Line: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Stokes-Line\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Stokes-Line — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y74373c3b1233f7e661c944e2d844b2c1","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1472324,1472348,1466867,1457616,1424968,1460710,1459297,1472010,1472031,187287,50737,1461715,1463532,1373787,1466295,1465947,1466080,1452051,1349071,1454916,1470514,1472080,1467158,1469414,1357003,1002325,45971,124080,856305,151171,126330,1467836,1281084,287509,1447467,785124,1296808","queryText":"Stokes-Line","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9286750441769533430","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459277,1459585,1461130,1472666,1466451,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1769533438","tz":"America/Louisville","to_iso":"2026-01-27T12:03:58-0500","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-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":"1472324,1472348,1466867,1457616,1424968,1460710,1459297,1472010,1472031,187287,50737,1461715,1463532,1373787,1466295,1465947,1466080,1452051,1349071,1454916,1470514,1472080,1467158,1469414,1357003,1002325,45971,124080,856305,151171,126330,1467836,1281084,287509,1447467,785124,1296808","queryText":"Stokes-Line","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"9286750441769533430","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":"2753028645034240987283","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":146,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"isFinalHeartbeatDisabledInNoJsApi":true,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsInD2d":false,"isDoc2DocInstantLoadEnabled":true,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isIslandsDisabled":true,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"criticalErrorCodes":["101","102","103","100","151","152","153","154","155","156","150"],"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"9286750441769533430","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1754.0__7d090cb2d4d9823803190509a95d03c049893005","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","extralinks":"3557","show":"487","feedback":"296","out":"3218","popup":"1544","scroll":"768","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"12639422227677858634":{"videoId":"12639422227677858634","docid":"34-11-4-ZDDE62D4DEAB1560D","description":"The intensity of Stokes line is always greater than the corresponding Anti-stokes Line. The different processes giving rise to Rayleigh, Stokes and Anti-stokes lines are shown animation. When a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/937585/b1ab69974ac15c8049b1290c92d41efb/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/r__SNAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DsKdKcPpbh3U","linkTemplate":"/video/preview/12639422227677858634?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How are the Stokes Lines Formed? What are its Special Features? | Physics Animated Video","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=sKdKcPpbh3U\",\"src\":\"serp\",\"rvb\":\"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_E2eCBCQBgAQrKosBEAEaeIECCvoG_AUA8P8D_v8CAAH6-gTz-v38AOQB9_8J_AIABPL-AgQAAAAFBP4J_wAAAPMD-Pr8AAAADAEJDgQAAAACAAP-AgAAAA4A_Ab-AQAA7v4A9gIAAAAIBQQBAAAAAPsBCQD7_wAABQsG_AAAAAAXB_8GAAAAACAALcFa4Ds4E0AJSE5QAiqEAhAAGvABWdcnAqQO5Psl7O8A3x3qAIEFC_8rE_UA0hsKAOYe6gEMGPQB9ej0APQkBgD_7yX__vr9_yECIwAR2RD__-7wAN8dEQH8_dcA4ggaAM_3AP_sEQX_8vD2APUJ8gIE_vYA8hf5ACTm8P4I__AA_wMhAPoc-wLn9gkFBwsIAvYVB__UI-_-B_X8ACUZ6QDp-CMF7RPqASL2DAMXFwEB8-8A_QgK9QMP8f388eXxBwEBCfr98O_66g8J9g_n8gnfBgsG-wr-99XuA_8lBwv5HdkA_voe__oU9_cJ8Af_CxLo-_v8_vkBBgL-9gQPBwMOAAkKIAAtbidIOzgTQAlIYVACKs8HEAAawAdvvKO-DOp7PWivPrwd4kQ8QiEiPSfAsDyO2bi94hAgvWZQSL2RWSK94AGUveXiGrybHaG-RqGbvMhnqDyPcRU-wC67umtpCT3UKU--rR5mvEfdc7wVHE6-rE3IPDWXHzu2LwA-lFB1PQmM9TuVels9Kp8XOv7BtjzE7tu9B4MlO2YVFTy9LDe8ALHAPFOitry94yQ-H7SDvGQe_TucUl4--hnoPHbmuTz0Z-Q8TiyLvMTBL73hH7u9AUCEvDm07bzqr_c9MbJROshNAz23rdK8dozrvJReZTxzdvy8M7i3PA8OdryNf587oY59Pf8JLrxTyks-oqhdvbI1QLoXxeE8dXp5PdrIdTz0y4u9E3NaPYoh-Ty3zbc7MFscvSD3hLtoBAu-wFTYPEcWlbwJsH4843h0vJf7Kb0seoy8dmVhPMkvLLtBXD27a9TDPcQbAjzq48Y8evGPPdJvobu-W-o8ls6XPY82jrlhkbo8nVmcPHVQ8DvYKHA9xe6hvTXJ9junNRO5NvY2vLDQYjzfZsY9ObXzvYcfGDwP3eI8dXQcvhhi-rmY4AQ-nG9kPcwr0zspltu9MGqQu4zZErzpjQm9LGJYPfGjWLtEBV29bfGfPPkBXbt0oLK9uvJ-PBKF1DtjUk09GLgZvB9iBTzp7Mk8TBjNPV_omrm5za-8u9BBvaIAvLtXXrK8I3eiPGKz6bsjmiU9ANOIvUR_jDm7zms93w4cvIZ4YjvUnvI9NKjsvJQZiLoU6mm8lJVQPfxBcrtq3oE9UWZovQIWhDkDJ9s9gHR7vPaBJ7otyea83_TTPABpRbmImWI9lyrHveEG17f8s1W9dz2yvYUbMLhDCIO9Q5agvF-nAbrRpSk9r3FnPURexbpTHpK9ShvIveFzmzfhw_g7wlOjvctMYbg-vpM9kXWdvDBN8zfA8rs8SjscvGtkzjhCzOU96rBCPGedKrm8L528i4GfPdKubDdnyQ29fvMMPcwqobgScCM9Ap40PKThZThGGia9ftcRPVAAI7eRKoo8zAfEvC-g_jigFfg94s2FvbxVn7gHqFq9_nsgPqZrlTltxf69otQ-vRov9LiKiJy9g7IavUO4obebPdA9_oqLvdqhkjiilBS8KebBuz5IODiKrhs-9WYEPqeYrrknd769OpsJvUTKMzgrtD286ZoJvZ59TbettDa9D_60vKhKsLezMQa7CK-9vRx9prejubQ9yH2LPYDxgzjZJSo8VloQvZlcxbgu-Nk8PFvRvF-EKDdN8sg8ki8XvbKMFbggADgTQAlIbVABKnMQABpgLxYAIAId7dwRVOUB8dT-CeUmBhT-7P8S-gABAPnj8gz5yP0RAB3REd67AAAACcjGFOAAtl7X1PsEIQ7hw9HoAR5_6fgdyfgo7cIOIf8V_xwu4kocANjq1CcL9_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_AADgwAAAPEIAAJBBAABwwgAAAMAAAGRCAAAcQgAAQMIAABDCAACgwQAAWMIAAEBAAAAIwgAAgMEAALDBAABQQQAAUEIAAEBAAABowgAASMIAAEDBAAAAQAAAAEAAAMhBAAC2QgAAwEEAAJhBAABAwAAALMIAAGDBAACYwgAA6MEAABRCAADAQAAAMMEAAAAAAACAPwAAKMIAAIDBAACIQQAAfEIAAKhBAAAAQQAAQMAAAIC_AADgwAAAgEAAAFDCAABMwgAApsIAABRCAACgwAAAIEIAABBBAACIwQAA8EEAAMDAAACEQgAAIEIAAHxCAACAQAAATMIAAEBCAACEwgAAgEEAAPDBAAAcwgAAusIAAHzCAAAQQgAAFEIAAEDBAADowQAAAMAAANDBAADoQQAAGMIAALjBAABwQQAAQEEAAIA_AACQQQAABMIAAIjBAADQwQAACEIAAExCAADgwQAA8MEAAKLCAABAQCAAOBNACUh1UAEqjwIQABqAAgAAiL0AAKC8AAAwPQAAFD4AACQ-AAD4PQAAyL0AAA-_AABEvgAAQDwAAFA9AAAwPQAATD4AAAs_AACIvQAAML0AAAU_AACgvAAAmL0AAOo-AAB_PwAAbL4AANI-AAAwPQAA-L0AAPg9AACIPQAAXL4AAOC8AADoPQAAhj4AAKA8AADgPAAAFL4AALg9AABQvQAAmL0AACS-AAC2vgAATL4AANi9AAC6vgAAZD4AAEC8AACevgAA-L0AAI4-AACavgAAHL4AALi9AADIvQAAC78AAKY-AABQPQAA-L0AADA9AABhPwAAmL0AAKC8AAAUvgAAxr4AAKg9AABwPQAAML0gADgTQAlIfFABKo8CEAEagAIAALi9AACovQAAML0AAEm_AADIPQAAyL0AANo-AABMvgAA6L0AAKi9AACqPgAALL4AAIC7AACevgAAQDwAAKC8AAD4PQAA9j4AAES-AABEPgAAoDwAABw-AAAcvgAAML0AAJg9AACovQAAEL0AALg9AACoPQAAiL0AAFw-AACIPQAAmr4AAOg9AAAwPQAAQLwAAIA7AABAPAAApr4AAEC8AACePgAALL4AAHC9AAA0PgAAor4AADA9AAB_vwAAJD4AAIi9AADgvAAAQDwAANg9AABAPAAAmL0AADS-AAD4PQAAmL0AAGw-AACIPQAAgr4AAHS-AACCvgAAiL0AACw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=sKdKcPpbh3U","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":478,"cratio":1.78661,"dups":["12639422227677858634"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"4072651677"},"8037403058592199214":{"videoId":"8037403058592199214","docid":"34-7-8-Z99CD010D778D0DBE","description":"If a photon strikes an atom or a molecule in a liquid, part of the energy of the incident photon may be used to excite the atom of the liquid and the rest is scattered. The spectral line will...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2778861/28c0637d4bfac57eaf232b6a5b1b68db/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QCXpaAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D22gg9wMy8o0","linkTemplate":"/video/preview/8037403058592199214?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Anti-Stokes and Rayleigh Lines | Video Tutorials","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=22gg9wMy8o0\",\"src\":\"serp\",\"rvb\":\"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-AgD1AQMFBwX9AQAD__j4_v4A7vAE_QcAAAD4-_8FBQAAAPT3CgwBAAAA7wUJBwEBAAARBwEM9QAAAAn2AAbzAQAABgH9_v8BAAD1BgICAwAAAPn9BhAAAAAA-QUSBv4AAAD__AMKAAAAAAjsC_kAAAAAIAAtxonYOzgTQAlITlACKoQCEAAa8AFC2wT8qBcH-x_-8gDVCfsAgQUL_xYd6ADiEA4AzgLpAAMY6ADo2_L_9CQGAPv9Hv8h5_QAIeIZABHyC_8K6PcA8w0KAAjb2gAL_SMA0Of3_scIGf_x8RQC8_36_wnuAP_3EQH_AP_wAADg5QMS7CEC_R4IAuoaFP4A3wcE6BgAAvUJ7gP8-AUFJAvxAAf3HwP9-_gEGhUN_QMMAgDvCu8FAAr2_BTr6wQH8e4GAQEJ-vX55AHyCvb6F_jrBOXyA_wX-Ar_4PwH-RYEDPsd2QD-7xUHAg_0_f_9DQEKFuMABgPo-vsS6vj3C-YEBA_2DAQgAC1uJ0g7OBNACUhhUAIqzwcQABrAB6eVwr6-6609_qMlvO7SobwHqBo9IBEuPGpNc72pCME8tnIFvQIpUb5qhUm9kD3Su5mAp75l-9A8n_oRPVEwMz76gJs7kedEPTV5Or4Oq5E7Sn5EPOdWeL4CWsS8eFIRuqiQGz7aVbg9YZ7fPJYjBD1cGqQ8edqAPb6-9r2p3e88L0G8PNKpK77ajR493BdIOygLDz5iBCM9eDySPAVHsz01NNQ8Fa9NPfEFlz0LJh69p7QZvXK1r71iWTq9523RvFcE3z0-fgq9M5MePeSDP7t8Az29Kw6MPGwHg73NFto8ljCJvERplLtttT09G-VPPAH6HT7lMFO92R13PIVjcbwsRXc9nqGLOJEsu72ZIPQ8T-vRPOVXfT0KkR29QVsYPKkT0L05ZEU4uzxCvPLYmj1eXqU8Ha8AvchtarvMkZk7riKKO5QGTb0_jNA9xk-jPKZqMT0zzlU9S0Keuj_3Kr2QDqQ9fJGaPJXY0DxS0mM9-9uvusHCDj2MipO9L2ATvJah4LwL7LE83GYqPDO707yEI6291A7nOMFrfD1St_O9axWIOei-zD0AMGM9ruYMO2hpXb1aiho9Ma-Guw4cJ7saax89YjRpu6pEWTzZKho8eot5OrdE7r3AnsS7BXqXu6gn4jyZQ7c8TucSPOnsyTxMGM09X-iaufLkH724Nre7Uchnuz1rTT1guAm9VcK1uQI6Aj1nDqm9K4yuOcehWTyUNrC8opqvO9Se8j00qOy8lBmIuqfZcrywwxo8JUwDu_CXYD31dS47HEveOS04rT2UpAs9DQqKOdptvDxGj8Q8XPWZOOVCZbykb9K8hj8OuJLzVL0nNoq9n6oJuel_-b02ujm8lvRFOdDhKz1fYic9Juy8uRL1Qr0iGOe9eBrqN_ReCjxPNsq8QsmCuD6-kz2RdZ28ME3zN7n8ybtyA7Q86PKQuV5ryj01ptm5RwOouR2ItLsMDmU9EmcHOJ50p73i0SE9REhquQOwprwQcdo7oNa7NuhRjLxaQHI9CeW8N41UKbwGKgO9zZiRN_-X6z1HiDe9C4mVNpFkMb1Zq5E9tUa_OG3F_r2i1D69Gi_0uLueA72HbYs8oAOYt7fEOz0_3pC8Ud-FOI3CBL3MVb07Rj9mt1fo4z00fbs9EOQ3ub57ob3GtjY9GKlvtoT6L7sAIwG86qNfN2VSJjsgvNE8fAFjtzW3grwsMWq9uqFGuELLXz1jGrc9bpCOOEk42Tn8Loa9vYLEt3JuEz0kjPC80z17tt0ilT1c5KI7QC1wuCAAOBNACUhtUAEqcxAAGmA3DgABDzLs0vY-3fENwA7F6gYBCAkC_xfBAND4zw0L-tqx3BsA8_ESBK0AAAAJvdDtCQCkc9S0FPEU_NnR0cwZPX8ECwPdDiEI4CIA1QjpFh3tXRYA_sTWUC7fDjI5EREgAC1LfiQ7OBNACUhvUAIqrwYQDBqgBgAA4EAAAOBAAAAAwQAA4EAAABBCAAAAQQAAaEIAAIDBAACAvwAAQMIAAEDAAAA0wgAAJMIAACjCAAAcQgAATMIAACjCAACIQQAA4MEAAATCAABEwgAAcMEAAILCAADQQQAAoEAAAIjBAACMwgAA4EAAAEhCAAAMQgAAAMIAAODAAACywgAAXEIAAMDBAACQwQAAAMAAAIxCAACgwQAA-EEAAGRCAAD4wQAAWEIAAODAAAB8QgAAwsIAADjCAADAwAAAQEIAAADBAADQQQAAQMAAAADBAAAAQQAAoMAAAGxCAAC0wgAA4EAAAITCAABQQgAAYEIAAMDBAAAIwgAAWMIAAAzCAABgwQAAoMAAAPjBAAAwQQAAPMIAAKBCAADgwAAAZMIAAKBCAACIwQAA0sIAAIC_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-EEAABzCAABwQQAAOMIAAIjBAABcwgAAwEAAAKhBAAAoQgAA4MAAAPjBAADgQQAA-MEAAFxCAADAwQAA6MEAACBCAACgwAAAMMEAADhCAADAwQAAAAAAALDBAABAQgAANEIAAIBAAABAwQAAxsIAABzCIAA4E0AJSHVQASqPAhAAGoACAABwvQAAFL4AAHQ-AACgvAAA2D0AAEw-AAAQvQAA4r4AAPi9AAAwPQAA4LwAAHC9AAAkPgAAdD4AAKA8AACIvQAA3j4AAHA9AAAkPgAAnj4AAH8_AABQvQAAnj4AANg9AAA8vgAAcD0AAKC8AACIPQAAQDwAAKo-AAD4PQAAQLwAAMi9AAAQvQAABL4AADQ-AABAPAAADL4AAKK-AACevgAAuL0AAKi9AAAUPgAAoDwAALi9AACAuwAAqD0AAAS-AABcvgAAiL0AAKA8AABQvQAAsj4AAEA8AAB0vgAAQDwAAEk_AADgPAAA6D0AADC9AACqvgAAyL0AAEA8AACIvSAAOBNACUh8UAEqjwIQARqAAgAAPL4AAJi9AABwPQAATb8AAEA8AAAwPQAAij4AAOC8AAA0vgAAUL0AAII-AADovQAAmL0AAAy-AABAPAAAgLsAAKA8AAA1PwAAyL0AAHQ-AACoPQAAiL0AADC9AAA0vgAAED0AAAS-AAAEvgAAcD0AADQ-AADoPQAADD4AAFA9AABUvgAABL4AAIY-AACgvAAAoLwAAIC7AABcvgAAUD0AAKY-AACWvgAAmL0AAMg9AABsvgAAiD0AAH-_AACAOwAA4LwAAHA9AAAsPgAADD4AADA9AACgvAAAQLwAAJg9AACovQAAVD4AAAQ-AAAsvgAAyD0AAJi9AAAQPQAAoDwgADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=22gg9wMy8o0","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":358,"cratio":1.7877,"dups":["8037403058592199214"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2375656436"},"8996777880053689647":{"videoId":"8996777880053689647","docid":"34-7-9-ZB3973F235F1DF923","description":"Application of Stokes Theorem/ Using Stokes Theorem Problem • Application of Stokes Theorem bounded by ... Dear students, based on students request , purpose of the final exams, i did chapter...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4469835/43201b61b569e23e277508050149d87c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2QGeSQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvGCFt3X42q4","linkTemplate":"/video/preview/8996777880053689647?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Application of Stokes Theorem bounded by circle and line/ Using Stokes Theorem Problem","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vGCFt3X42q4\",\"src\":\"serp\",\"rvb\":\"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_P0O_gIABvMHAgQI_QIGB_gA9___APr-AfkEA_8A_vwCBPcBAADwDwsDBgAAAPMD9_r8AAAAFgAD_wUAAAAH8QEEAQAAAAoG9wj-AQAAAwAA_AIAAAAA_wAJAAAAAPH_Dg7_AAAA_AgIBQAAAAAK_Qv2AAAAACAALdOk2js4E0AJSE5QAiqEAhAAGvABf9P8AO3J2gLE9dEAxCb3AJY5BP_8OM4Asu8MAdAH3QHfL_b_5f0AAPYMKgDgMAcARfTF_yH1GwBA2fwADNYNAM0cCgEv9-8BZyMx_QX17wDf2Sz9_OMCABrTzgMF_fEACAIP_iQF5AAFG_j9MBMWBSAOIAFT9igAA5sBB-b19AL85Nv9ExYW_wzdEPfC_iIBBu_r_xEGCfO2EeMBCe_3_fHSJ_8PFcwAP6YEAhIEFQepAxgCCQvy-SApC_rY6wX7AQ00-tID-P___xj6Iu0G9g0B1fX7BOf7MP8OCxEKEfv_6OoA_BEGC9biAwLHMPj6IAAtqLYHOzgTQAlIYVACKnMQABpgDwMAGfQs2_ryEvUlBNz64KET2_r__P8WDwDmNOQHAhuHz-0qAAzaHvarAAAAKAPyHgUAw23J0AYHyu6-ycTbGyx_yw8sjvgLE8sGFxIT7-AS8zoyABIQvi5KH-03LPAIIAAtr2ghOzgTQAlIb1ACKq8GEAwaoAYAAChCAABQQQAAdEIAAFDCAACAwQAACEIAAExCAABAwAAAsMEAAOBAAAAAwAAATMIAAOjBAABwwgAAoEEAAJhBAAAMQgAALMIAAARCAAA0wgAAbMIAAMjBAACMwgAA0EEAACDCAACKwgAAmMEAAGzCAADoQQAA6EEAAADCAACgQAAAgsIAADDBAAC-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_AABkQgAAkMEAAKhBAABAwAAAHMIAALBBAAAkwgAAFEIAAERCAAAAwCAAOBNACUh1UAEqjwIQABqAAgAAiD0AAOC8AAB0PgAAHD4AAOC8AABcPgAA6L0AABu_AABUvgAA4LwAAAw-AADIPQAAyD0AAHw-AAA8vgAAqL0AAJY-AACAuwAAgLsAAP4-AAB_PwAAiL0AAIY-AADIPQAA0r4AADA9AACgvAAA2L0AANi9AADgvAAALD4AAFC9AAAcvgAA-D0AAJi9AADovQAA-L0AADS-AADavgAABL4AAAy-AACIvQAABD4AAFC9AABEvgAAMD0AAJo-AADGvgAAgLsAAMq-AAAEvgAA6D0AAJI-AAB8PgAAir4AAOi9AABJPwAA-D0AAKi9AABAvAAAJL4AABS-AAAQvQAAHL4gADgTQAlIfFABKo8CEAEagAIAAGS-AACYvQAAMD0AAE2_AAAEPgAARD4AAJI-AAAQvQAAQLwAAOC8AACiPgAAqL0AAAw-AADYvQAAuD0AAFA9AADYPQAAOT8AANi9AABEPgAAgDsAAAS-AAB0PgAAXL4AAFA9AADIPQAAoLwAAMg9AADgPAAAoDwAACQ-AAAQPQAAyr4AABC9AAB0PgAAmL0AABy-AACGPgAAnr4AAGS-AACyPgAAcL0AAHQ-AABAvAAAFL4AALg9AAB_vwAAFD4AAAw-AABQvQAAuD0AAFA9AABAPAAA2D0AAKg9AADYPQAAgLsAAOA8AACYPQAAbL4AAFA9AACyvgAAUL0AAEA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=vGCFt3X42q4","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1688,"cheight":1080,"cratio":1.56296,"dups":["8996777880053689647"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3390798005"},"203351473735633517":{"videoId":"203351473735633517","docid":"34-4-5-ZD850A95B6872A0D5","description":"Mastering the Perfect Dotted Line: Stokes Twins' Ultimate Art Hack!\" / @multitalent566 #Stokes twins #Art hack #Perfect dotted line #dotted lines #Drawing Tips #how to draw #tips for drawing...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2339602/11b108e512a90dd12cdab63993e3eb6c/564x318_1"},"target":"_self","position":"3","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DmBwE8yzkr0c","linkTemplate":"/video/preview/203351473735633517?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mastering the Perfect Dotted Line: Stokes Twins' Art Hack!\"","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=mBwE8yzkr0c\",\"src\":\"serp\",\"rvb\":\"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_AAo4aGhmdW1kbGJsa3hwcGxzYmhoaHR0cDovL3d3dy55b3V0dWJlLmNvbS9ATXVsdGl0YWxlbnQ1NjYSAgASKg_CDw8aDz8TD4IEJAGABCsqiwEQARp4gfgJDwEAAAAPCwT__QUAAAwR_QX1AQEA4-oC-gH8AgATCgAJ_AAAAPQPAQoCAAAABwYB8Pv9AQAI-gAMAwAAABoICPoBAP8A-f8R-P8BAAAB__8D7AQAAQD_AAoAAAAABv8TCv8AAAAFB_7-AAAAABD9CgUAAAAAIAAtygDROzgTQAlITlACKnMQABpgKAIAFd33CcQQLusA9uQVFQEDABUNCgAR9AD2GeHvF_H04BIDADW3CBzGAAAAGf_-I_UAw0cc7xHm7QXpy9zs7hh_Eeb6JRkcCwkMG_8iHP785is2ANv-EhL2DRUjGt0KIAAtZcphOzgTQAlIb1ACKq8GEAwaoAYAABBBAAAUQgAAqMEAAFBCAABgwgAAUEEAAMBBAAB0wgAAUEEAADDBAADQQQAAMEEAAJDBAACYQQAAJEIAAPBBAACOQgAAQMAAACDBAACOwgAAkEEAAKBAAACwwQAArEIAAABAAABgwgAAYMEAAMDAAACUQgAAAEEAAJDCAABAQAAASMIAAKhBAAAMwgAAyMEAAAAAAAB0QgAA2MEAAIzCAAAAAAAAUMEAAGBCAACAPwAAYEIAADBCAACYwQAALMIAAEBCAADAwAAAAEAAADDCAABAwgAAwEAAADBBAACYwQAAoMEAABxCAAAUQgAAQEAAAKRCAADAQAAAkMEAAAzCAACIQQAAAMIAAABCAACgwgAAMMIAAJBCAACoQQAAjkIAAIBAAADIQQAAgMEAAOjBAAD6wgAAPEIAAEDAAABAwAAAAEEAAADBAAAwQQAAAEEAAIC_AAAsQgAAGMIAAPDBAADYQQAAKEIAAEzCAACgwQAArkIAABjCAADAwAAAMMEAAARCAABgwQAAXEIAAIBBAACowQAAcEEAAEBCAADkwgAAUMIAAJhBAADQQQAAkEEAAEDBAABgQgAAaEIAAOBAAAAIwgAADEIAAEDAAACYwQAA6EEAAEDCAABAwAAAysIAAIJCAABMQgAA4EAAAADAAABAwQAAGMIAANDBAABwwQAAgMIAAIC_AADAQAAANMIAAEDAAACYQQAAmEEAAJ5CAAAEQgAAoEEAAIA_AAD6wgAAoEAAADBCAAAUQgAAyEEAAMBBAADQQgAAGMIAAFBBAADQQQAAwEAAAOBBAAA8wgAAYMEAAABCAADQQQAAoMAAAFjCAACgQQAA-MEAAEBBAACIwQAAGEIAAKzCAABQQgAAkMEAAIA_AAAwQQAAIEEAAKhBAAAYwgAAMMEAAIjBAAAwwgAAEEEAAKBAAACgQQAAQMAAAADCAABAwAAAeEIAAOjBAAB8wgAAEMIAADBBAABcQgAAUMEAAJhBAACSQgAAcEEAAKDAAABAwgAAmMEAAFBCAAAkQgAAeMIAABBBAADAwgAAcEEAAEjCAABkQiAAOBNACUh1UAEqjwIQABqAAgAA-D0AABA9AADYPQAAuD0AADw-AAAQvQAAED0AAOq-AACYvQAA4LwAAEA8AAB0PgAA6L0AALY-AAC4vQAAQLwAAMI-AAC4PQAAUL0AAPo-AAB_PwAAJL4AAKC8AABMPgAAqL0AAKC8AABwPQAAEL0AAJg9AABcPgAAQDwAAAw-AABUvgAAUL0AAPg9AADgvAAAMD0AACy-AACqvgAAXL4AADS-AACovQAAEL0AAKg9AADYvQAADL4AAFQ-AADIvQAAiL0AAFA9AAAkPgAA2D0AAFQ-AAAUPgAAXL4AABC9AAA3PwAAoDwAAAQ-AABwvQAAcL0AAFA9AACAOwAAoLwgADgTQAlIfFABKo8CEAEagAIAABC9AAAMvgAAoLwAAFm_AABQvQAAuL0AAOA8AAB8vgAADD4AAFQ-AAAEPgAAoLwAALg9AAA8vgAAcL0AAKA8AADYvQAAQT8AABy-AACiPgAAoLwAABS-AAC4PQAAmL0AABA9AABMPgAAjr4AABw-AABAPAAAQDwAABA9AAA8PgAAML0AAAS-AABMPgAA4DwAAJY-AABAPAAAfL4AADS-AABkPgAAmL0AANK-AACovQAABL4AAAS-AAB_vwAAmD0AAEC8AAAsvgAAML0AAOi9AAAkvgAAfD4AAPi9AAAcPgAAUL0AABC9AACIPQAAQLwAAMg9AAB0vgAAUD0AANg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=mBwE8yzkr0c","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":null,"cheight":null,"cratio":null,"dups":["203351473735633517"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"13242410516477656623":{"videoId":"13242410516477656623","docid":"34-10-3-ZA05A5C714F2F93FD","description":"classical theory of raman effect, stokes lines, anti-stokes lines Hello Everyone Welcome to my channel, where you will learn physics and get a spark in your knowledge...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4800585/a1ba6ee6f1baa0ffad2d0e591a37530b/564x318_1"},"target":"_self","position":"5","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVPeLPMqHqZU","linkTemplate":"/video/preview/13242410516477656623?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Classical theory of raman effect || stokes and anti stokes lines | atomic and molecular physics","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=VPeLPMqHqZU\",\"src\":\"serp\",\"rvb\":\"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-QwAAADqCP4CAQEAAAgBB_r3__8A8vr9_AcB_wD16f4C-gAAAAQCCQUCAAAA9wsFAfn_AAAeAPcMAgAAAAf6_f_5AAAAEBH6-f4BAAD2BAL4AgAAAAYNCQD_AAAAAgMU_P8AAADwAgEEAAAAAB3-BwoAAQAAIAAtmUDVOzgTQAlITlACKnMQABpg_hYAJjAB5r8YWt3kBNYc4_dDBw4R6P8HBgDr-r639fnMqxYo_-_WBPmrAAAAJLHNCgEAi23CwAcL_-EH6tDb6yJ_6P4BARgtxLgwO-gCLhAh5xsjAMn9-CoN5tAxKCoQIAAtXnofOzgTQAlIb1ACKq8GEAwaoAYAADhCAAAcQgAAQEIAALhBAABwwQAAEMEAALBBAADgQQAAAMAAAOjBAACAQQAABEIAACDCAABAwQAAlkIAABzCAADoQQAA2MEAALBBAAAgwQAAGEIAAAzCAAAMwgAAoEEAAABCAAA8QgAA4MEAAMDAAACgQAAA0EEAACRCAABgQQAAHMIAAEBBAAAMwgAAwEAAAGBBAADmQgAAcEEAAGBBAAC4wQAA8MEAABRCAAAwwQAAMMEAAEjCAAA0wgAAIEEAAADAAAAQQQAAXMIAAAxCAAC4wQAAwMEAAARCAABIQgAAoMEAANjBAABMQgAASEIAAJDBAAB0wgAAdMIAACDBAACAQAAAQEIAANhBAADgQAAAlMIAAIC_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_AAAQvQAA6D0AAOC8AACoPQAAZD4AAHw-AADYvQAAqL0AALY-AACoPQAALD4AANo-AABxPwAAgr4AAKI-AACaPgAAjr4AANi9AACCPgAAUL0AAMg9AACSPgAA6D0AAJa-AABMvgAAUD0AADC9AADoPQAABL4AAIq-AACuvgAAZL4AAOi9AAAsvgAAqD0AAIC7AAAEvgAAgDsAAEw-AAAMvgAAHL4AAGy-AACIvQAAUL0AALo-AAAwPQAARL4AAOC8AAB_PwAAED0AANi9AABMvgAALL4AAOi9AACovQAAUL0gADgTQAlIfFABKo8CEAEagAIAAEC8AAD4vQAA4DwAAF2_AABAvAAA4LwAAJY-AABQvQAAVL4AAIA7AABUPgAAHL4AAIC7AAA8vgAADD4AAKi9AABAvAAAGT8AAAy-AACGPgAA4DwAAIA7AABAvAAAHL4AAKA8AABsvgAADL4AADA9AABMPgAAyD0AAKg9AAAwPQAAkr4AAJ6-AADoPQAAQLwAABC9AACIPQAAir4AAFA9AAD4PQAA-L0AAPi9AAA0PgAAFL4AANg9AAB_vwAAcD0AAOg9AACAOwAA4DwAAIg9AABAPAAAQDwAAKC8AACIPQAAgLsAAPg9AADYPQAAbL4AAIg9AAAEPgAAdD4AABS-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=VPeLPMqHqZU","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["13242410516477656623"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"1757977937897466759":{"videoId":"1757977937897466759","docid":"34-0-15-Z42318137D94A02C8","description":"Daha fazlası için: http://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/901673/72686441a69f20728a831f9ccd34e571/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/q7xtQQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=videoid:1757977937897466759","teaser":[{"list":{"type":"unordered","items":["Bu video, matematik eğitimi formatında Stokes teoreminin hangi durumlarda kullanılabileceğini anlatan bir ders anlatımıdır.","Video, Stokes teoreminin parçalı düzgün yüzeyler ve basit kapalı parçalı düzgün eğriler üzerinde kullanılabileceğini açıklamaktadır. Önce yüzey kavramı ele alınarak düzgün ve parçalı düzgün yüzeyler arasındaki farklar fincana benzetilerek anlatılmakta, ardından sınır kavramı açıklanarak basit kapalı parçalı düzgün eğrilerin özellikleri gösterilmektedir. Video, teorik bilgilerin yanı sıra görsel örneklerle desteklenmektedir."]},"endTime":244,"title":"Stokes Teoremi İçin Gerekli Koşullar","beginTime":0}],"fullResult":[{"index":0,"title":"Stokes Teoremi İçin Gerekli Yüzey Şartları","list":{"type":"unordered","items":["Stokes teoremi için parçalı düzgün yüzeyler gereklidir.","Düzgün yüzey, kısmi türevlerin her yönde sürekli olduğu, eğimin yavaşça değiştiği yüzeylerdir.","Parçalı yüzeyler, Stokes teoremini birden fazla yüzeyde kullanmamızı sağlar."]},"beginTime":0,"endTime":61,"href":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=0&ask_summarization=1"},{"index":1,"title":"Parçalı Düzgün Yüzeylerin Örnekleri","list":{"type":"unordered","items":["Fincan şeklindeki yüzeyler düzgün değildir çünkü ayrıtları var ve bu noktalarda eğim sıçrar.","Parçalı düzgün yüzeyler, yüzeyi düzgün parçalara ayırarak problemi çözer.","Analiz dersinde rastlanan çoğu yüzey parçalı düzgündür."]},"beginTime":61,"endTime":138,"href":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=61&ask_summarization=1"},{"index":2,"title":"Stokes Teoremi İçin Sınır Şartları","list":{"type":"unordered","items":["Stokes teoremini uygulamak için sınırın basit, kapalı ve parçalı düzgün bir eğri olmak zorundadır.","Basit sınır, kendini kesmeyen bir eğridir.","Parçalı düzgün bir iz, türevi sürekli parçalara ayrılabilen bir izdir."]},"beginTime":138,"endTime":187,"href":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=138&ask_summarization=1"},{"index":3,"title":"Düzgün ve Parçalı Düzgün Eğriler","list":{"type":"unordered","items":["Düzgün olmayan bir iz, keskin kenarları olan eğrilerdir.","Basit kapalı eğri düzgün olmasa bile parçalı düzgün olabilir ve parçalara ayrılabilir.","Yüzeyiniz parçalı düzgün ve sınırınız basit kapalı parçalı düzgünse Stokes teoremini kullanabilirsiniz."]},"beginTime":187,"endTime":232,"href":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=187&ask_summarization=1"}],"linkTemplate":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoremi İçin Gerekli Koşullar (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rBV7CY8mSlA\",\"src\":\"serp\",\"rvb\":\"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_AIGCPcA7_YDCQQE_gH79fwH-f39APABBwoEAv8A8QAJ-_sAAADr_A72AgAAAAcJ-Pr4_QEAHgL79AQAAAD39fv8-wAAAP396gAAAQAAAQf_9gMAAAARB_gR_wAAAAkGDQD5_gAACPv7BgAAAAAK6AoHAAEAACAALTqSvjs4E0AJSE5QAiqEAhAAGvABfwcNANMQ2ADcKe4A5fLCAJ8OIP_8O8sAlgDdAOwcFQFC3PIAs-zk_y4h8QGx8QIAISnE_wUQHwBctQr_F-z_AOkN-gH17fsCCBob__bT__6-GdT9z_TxANj5ovvoGML-5v_s_hII6ALqBLkCEf5HAQnO-AQ87RwB1PAG_8pFJ_31973-8BkTBA8UMP_gOCkCBkn6ATUGF_wRDuj3-wMBBPDyIPj8AvH7FOjz_wvrBOu15xj95-gI8AjkMQjt-NsL0fA0BvnPBgIHJQntJOwG9ggT8gjX3vAL5vQeBQasAv8f_-_2AADxBN0g6fYF7A8LIAAtXNEAOzgTQAlIYVACKs8HEAAawAdK1Ou-ykBUPCWuozy_jX49Hq4QPTQwzbyqBVs9HWsQPRyGxbwU88c888CRPFrahDx2pTW-fQpbvIrSmDv43yo-psAXvLlIC72G4wm-3yD1PKwBKr3Y1YS9jfInvA7drDxqXRM8RnwnvSBzDrsFxCS8ROPkvIFKPbpNsIm8i8GDvTTfe7uo_Gu99gu2PC6MVL3JQFk97zOTvKvW-Lz_WG099IeHOjxVmTzO9g09c4vUvN_RsbvXfqe9C_1dvHdLcrwJeZM9DdbJPPyOYTzr-4W9PmhMvYc7ETx1vY69zk9RPYWQmDz3JuE8XYaUPfC18bzlesA9KRXgO8MJ8bxeo8C8DWKRPY7Tqzxwl509HxMZPnqtOTnc74W93Qn2Pcid67qkA6s7xnkOPelHQ7x24Zc9MseivWr8nTyTuQO9FV4dvaPElbg8bB29Bza2u2794rnPpK09YGQ4PObilLzxuAg-k9RzPYG0PTsDV369S0I9vamo1TxpV8w9phMkPW0rCzx44NK8Jsc9vQjYmLxFXKU8c7j2veQENzz54-67W2H6vYUCvjvWSDy9TFU1PUlfDDtu_Ok9TOStvStzqbsodtm8VwirvTSIi7uIDxy-1S2Su-7LPjy9qSi9eVGlPVC6cro4FH693A2CvdLgNryUpn87dtr_PHeIvTsvEbQ9SpoPvopX4rn7Ato95nnQPfgy9rr7m2s99gtWPQ4rJ7oPgX48IpCGvcaDEDs9SgK8fCx9vCrUBzzZQhC-gPzbu8DIljk8vfI9SshRvVfBjjm3Kf06f7pGPTX6Tjn9PWe8gJ4GvXubxzh_Np09aCXIvEam-rjRlxk9lWe5vb1zcDlXr7c974ZevSpwKTdiqs88VjDouqkjXDjTUtS8ekG6vCd-FLqhbTA90J7Gva2ps7g3_w89GNs6vWxgxLVeXPS89bMCPT27gblTV6M8dRwkPYdbVbhcomQ91wZdvO7jIDnsua-7xcGavROAdjkp9LC8etCSPdE5Srcv7aW8YKo-vOFcDLhVmZQ7k0yDPZQPmbjD0-s8Zyb4vSIkJLiPTkK9oZTKPbJRAjl3PYe9pMPDPICvwjgqWPe4rAk4vbZyaze3xDs9P96QvFHfhThqXA49FndyPFO5wrfB4ys-3KVovAeJdLmTjJy8JrGqvfcB27hyNAk7cI60vTjSjbYZE4y9J1BEPBX4VbgU9E09tL2nvZeXjbdqTxk-qW6ZPQgCMrfrXOy8qqSkPQGLxLhLkQy-l-KaPa5NnzhL73a8K0w_vi80NzggADgTQAlIbVABKnMQABpgEgAAOEoYE-XHDv4QARwwo84ZCBDUFP8h8ACfRtUhGBLMzvU8ABHiNBWcAAAAHgPV-xoA1X_ZsBP63-Xuk7qOHDd9Iiorvtc2-wflDgsTyvRFGikQAPQBnPws2ccqOj7xIAAttJsOOzgTQAlIb1ACKq8GEAwaoAYAAJBBAABAwAAAKEIAADjCAABAwAAAAEIAALZCAACwwQAArMIAAEDBAAAUQgAAdMIAAADBAAAswgAAmMEAABDBAAAEQgAAwEAAAADAAABIwgAAgMEAAODBAADgwQAAQEIAAKjBAACIwQAAnsIAAJDBAABAQQAAoEEAALDBAABwwQAAPMIAAOBBAACuwgAA-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_kIAAETCAAAQwgAAgL8AAIBBAAAQwQAAwEAAAIDCAAAYQgAAgEAAADBBAAAAwAAA2MEAAJBBAACowQAAgMAAAIRCAADwQQAAmMEAABTCAAAAACAAOBNACUh1UAEqjwIQABqAAgAAuL0AAMY-AAB0PgAAcD0AAFQ-AADaPgAAmD0AADW_AAD4vQAAQDwAAGQ-AAAUPgAAdL4AAPI-AAAkPgAAFL4AAGQ-AAC4vQAAhj4AAFs_AAB_PwAA2D0AAN4-AAAwvQAAqL0AAAQ-AACmvgAAQDwAAEw-AAAXPwAABD4AAFy-AACCPgAABD4AAEy-AABcvgAALL4AABS-AADuvgAAoLwAAFw-AACqvgAAkj4AAKi9AABkvgAAqD0AAOg9AABFvwAADL4AABu_AACoPQAATD4AAKY-AACovQAAFL4AABA9AABhPwAAyL0AAEA8AABAPAAAXL4AAJ6-AAAwPQAAQLwgADgTQAlIfFABKo8CEAEagAIAABS-AADIPQAAmL0AADO_AABQPQAA2D0AAKg9AABMPgAATL4AAAQ-AACOPgAAqL0AACS-AABMvgAAQDwAAIC7AACAOwAALT8AAFS-AABAvAAADL4AABC9AACoPQAAFL4AAIg9AAAMPgAAPL4AAHC9AACoPQAAgDsAAIg9AABAvAAAor4AAOC8AABwPQAAEL0AADC9AAAwPQAAfL4AAGy-AAAcPgAA-L0AAPi9AACYPQAAEL0AAIi9AAB_vwAAND4AAII-AAAQPQAAgj4AAJi9AABAvAAAcL0AACQ-AABQvQAAUD0AAJg9AABAPAAAUL0AAOA8AABMvgAA4DwAAHC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=rBV7CY8mSlA","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1757977937897466759"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1710191914"},"4217402395670227428":{"videoId":"4217402395670227428","docid":"34-8-12-ZA7C611D6560A8C89","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1021545/c4be05cc34110cabe88a4ee4a90caa7f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/0lIhDAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DWNNzrfppY0k","linkTemplate":"/video/preview/4217402395670227428?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WNNzrfppY0k\",\"src\":\"serp\",\"rvb\":\"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-_gHCQIJ_AIO_voK9f__AOEEBP0K_AIA8-0L-_0AAADU-_v7_gABABH6_Q31_wAAIAL78wQAAAAKCf719QAAAPYS7AH_AQAA7hQF9AMAAAACBwYUAAAAABoLFAX-_wAAFgD--wEAAAAL5wsHAAEAACAALSI3tjs4E0AJSE5QAiqEAhAAGvABZBAK-9T0ngG9QOH_Qee8AaHpJAAW3bsAuwISAPcO1gHb1eYANuoP_wL4-gCB4d4DCBLY_u0F3wAu8NX9Asm9ALTvGwA44ugAR_rTAi719v-s9Rz9xTMUAYYK_wMDHeIEENoU_g49APzpBLQC6hE8AusO5wMi89f7FBU0AtMmGv_cBOEA_rIPBe0Z-QLePCsCFh32-9PEBAcPJgf7FwLyCe7t6gQW0vID7rkbAe70EPTO3SYCINf17ujeDfgIFdQPzNX2AfP3GwQgHxP1BgbxBgnUEAm98vUTNfr3AgEv8fgVJxwCGS8I8xD6A95g8Pf6IAAtvfnwOjgTQAlIYVACKs8HEAAawAc7UgG_UIKIveNaozxstQc-6AC3vPFROj0e-m4-qTP3PKUIOjyJste9DZeLPFuuYbobZKK--BoivZVXWL0nb8s9l9CTvJtbvLy5vJ69qTD4O9j-BL2_a6u8J7IBPCld-jzb2z2-AOAdvYOh2TmYhuG9NjonvSfvrbuhN_A8E9zEui1wIjzDSkU92RwHOtv4kzzmy4s9fJYMvW48zjzidTu7OfykPGSTmbtrcxC8tlfVPH2wDjz1Z_-9gfOYvYNWO7w7BEk9YRHovI_dB7xonAE9jgIEvc5npTy2Xl09yS08PbtbvrygbIq9Y5aiPdwWwDwr4eS8xJGsO2Y71TzltdI9O-ZXvWcjfLxpDXS9gwMQPVHoK7zAHAI9XacRvFgAYblhgkQ9Kq6Ju36x0jyOIFU-e0jdvC-nwjuDwuA9FcA5vC9j1Lxs7gi-SzXYPA1bqTxwc087Z3aCPUiSu7xIo-I9gxGwPXg7ZzyoO7o9oCYpPfzN3TuhNiC9iTGfvLYsXzyySrm9B7t8vVWtO7wkXp67YvjovVMYZzse05Q9FEmKvQeBcLxmsgk988IEOmW3oDy9Qaq8x0EuvRMac7uTH7y9v5DfvFDhCrxaZHu9lPNqvIcXo7twpEK9qrgSPMgtQTwb2gC-Sc8-vFF9rbokLIU8v591vNeIYDzXpoE9jhcaPL5hxzti36k80654PLV3W7vlRxs8LwzivH7e-Tu66UA9bL-MO2X6CDuVDAC9V19YvTNTczhflIW88LRGvGzIX7jVN3U9KxaPve6wyznh2Ym9LHh7PRW5RjlKIuC8jIdSPEiNhTl89Sw913e0PMHPc7eLgHQ9ErF3vQnVNDme8FC7nKkrvdWBxblXFru8Oz8gPYvlIDr-1zm9aLIevKvJYbjM--68Vj0JO7u7lrnaHl09CrRlvTtQxjedm5u83m5uPA-9CLjZ-Yo7QaihveU3vDl4mBc8NEYQvB8CQ7gvFJW9KzQQvTfi07j4Fta8rWjTvR4t_Dg-b8Q95273vZBpOTmrrII9-MYQPLnapDjl4rm8cWibveWtCDYmvbS9y8SjvHVtIjk8_IA9AeaAvdrMHTlnRdS8ugUcPVH-lDgYUPk8tKpKPMKq9jdiKsI9mPJGPE68ebhrOzc8cJ_APYXQfbj2VFi9f8FuvFSyU7dvSvm8VP9_u0sB17e7iKU8zsg7PUUchbfk1Z68eonxvWVVMLjOfeY7PB-UPb0Svzg_-ku8qhkoPR74w7he0XK9-ym0vTRNHDjF5849GyWkvYYhgDcgADgTQAlIbVABKnMQABpgBgQAPQb8CMPc-RUNBSQcoKj14QHVGP_6-f_RLvX39yiy8-w9APHSTL-eAAAAH9rk_lMA6X_QpC367Q8JoIrmBUF_MzUN0hcZBwDuNgNE6x5B1CH7ADwYsRdKDLk0OfobIAAtYAkOOzgTQAlIb1ACKq8GEAwaoAYAAADAAAAEQgAAwMAAAMjBAACwQQAAIEIAAKJCAAAAQAAASMIAAGzCAACQwQAAEMEAAEBCAADgQAAA-MEAADxCAABsQgAAFEIAACBBAACgQAAAQEEAABDCAAAAwQAArkIAADTCAAAwQQAA8MEAAEBCAAAgwQAA-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-AACGPgAAuD0AACQ-AADePgAAir4AADu_AAAMvgAABD4AAMY-AAA8PgAA4DwAAMo-AAAMPgAAZL4AAMo-AAAEvgAAij4AAGc_AAB5PwAAUL0AAPY-AADovQAARL4AAOg9AAAkvgAAmD0AAIi9AAD2PgAAXD4AAM6-AACSPgAAXD4AAFS-AACCvgAAsr4AAJi9AAADvwAAhr4AAAw-AADIvQAAFT8AAHy-AABEvgAAED0AAKY-AAApvwAAiL0AACG_AAA8vgAAgDsAAKo-AABwPQAAJL4AABA9AAB_PwAAPL4AADA9AACovQAAXL4AAIq-AACoPQAAqL0gADgTQAlIfFABKo8CEAEagAIAAKA8AABUPgAAgLsAADO_AADYvQAAUD0AAMI-AABAvAAAEL0AAEw-AADmPgAA6L0AAOC8AABkvgAA4LwAAHA9AAAwvQAAMz8AAFS-AADYPQAAcD0AACS-AACoPQAAXL4AAEA8AAAQvQAAdL4AAOg9AAD4vQAAEL0AABQ-AABAPAAAtr4AABA9AAB0PgAAyL0AAPi9AAAwPQAApr4AAPi9AAC-PgAAqL0AAJi9AACgvAAAyL0AAFA9AAB_vwAALD4AAFw-AABsvgAABD4AAFw-AABwvQAAQLwAADw-AACoPQAAiL0AAOg9AACAOwAAHL4AAIi9AAB0vgAAMD0AADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WNNzrfppY0k","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4217402395670227428"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3252810859"},"14868598073562414303":{"videoId":"14868598073562414303","docid":"34-8-15-ZE9D4606A9E6426F6","description":"Daha fazlası için: http://www.khanacademy.org.tr Matematikten sanat tarihine, ekonomiden fen bilimlerine, basit toplamadan diferansiyel denklemlere, ilkokul seviyesinden üniversite seviyesine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4231465/0770856f66c9351cce14c29d1dfedc1f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JEkuxwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=videoid:14868598073562414303","teaser":[{"list":{"type":"unordered","items":["Bu video, matematik eğitimi formatında bir ders anlatımıdır. Konuşmacı, Stokes teoremini uygulamalı olarak göstermektedir.","Videoda, y+z=2 düzlemiyle kesişen bir direk üzerindeki vektör alanının çizgi integralinin hesaplanması için Stokes teoremi uygulanmaktadır. Konuşmacı önce iz üzerinde çizgi integralini hesaplamak için farklı bir yöntem göstermekte, ardından Stokes teoremini kullanarak yüzey integralini hesaplamayı planlamaktadır. Video, normal vektörün yönünün belirlenmesi ve yüzeyin parametrelerle ifade edilmesi aşamalarını içermekte, ancak tüm hesaplamalar sonraki videolara bırakılmaktadır."]},"endTime":158,"title":"Stokes Teoremi Uygulaması","beginTime":0}],"fullResult":[{"index":0,"title":"Stokes Teoremi Uygulaması","list":{"type":"unordered","items":["Video, Stokes teoremini uygulamak için bir diyagram ve C adı verilen bir iz üzerinde f(x,y,z) vektör alanının çizgi integralini hesaplamayı gösteriyor.","C izi, y+z=2 düzlemiyle x²+y²=1 doğrusu (bir direk) arasındaki kesişimden oluşuyor.","Video, Stokes teoremini kullanarak çizgi integralini hesaplamayı amaçlıyor."]},"beginTime":0,"endTime":53,"href":"/video/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=0&ask_summarization=1"},{"index":1,"title":"Stokes Teoremi ve Yüzey İntegrali","list":{"type":"unordered","items":["Stokes teoremi, çizgi integralinin sınırları belirlenmiş parçalı ve düzgün bir yüzeyin yüzey integraline eşit olduğunu söylüyor.","En basit yüzey olarak y+z=2 düzleminin C ile sınırlanmış bölümü seçiliyor.","Vektör alanının rotasyonelinin yüzey integrali, vektör diferansiyeli (ds) ile normal vektörün çarpımı olarak ifade ediliyor."]},"beginTime":53,"endTime":102,"href":"/video/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=53&ask_summarization=1"},{"index":2,"title":"Normal Vektör ve İntegral Hazırlığı","list":{"type":"unordered","items":["Normal vektörün yönü, iz üzerinde çöp adam benzetmesi veya şişe kapağı açma benzetmesiyle belirleniyor.","İntegral almak için yüzey parametrelerle ifade edilmeli ve f vektörünün rotasyonelinin hesaplanması gerekiyor.","Tüm bu işlemler sonraki videolarda gösterilecek."]},"beginTime":102,"endTime":147,"href":"/video/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=102&ask_summarization=1"}],"linkTemplate":"/video/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoremi Örneği 1 (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=bgh7LMQXBA8\",\"src\":\"serp\",\"rvb\":\"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-AfUB9wD5_v0A7P0BBQkAAADzAAj8-wAAAO38DPcCAAAAAv799vP9AQAW_Qz2BAAAAAPy_vX5AAAA-f70-v8BAAD_Bfv_A_8AAAb6_xQAAAAACggKCAAAAAAG-f_9AAAAAPzlCv4AAAAAIAAtuC_TOzgTQAlITlACKoQCEAAa8AF_9w__vwrcALb0BQAUI8kC1RonAPw30ADU3tMA0BrrAQsL9gDHAdv_IP_W_8j4EwD6Fcz__-IIAFW7CgAU7RUA5ev2ABTS7gIoOSn-JuH1_-Aq-v_e2-gBGPHC_9wi7P_o3SL_M__s_uwDvgI9DS8AB-EGAgMLCwPaxw0Bwg4MAA3N1P4M__UKFvIE9tUcIgI9-QT_IwgF__MV9wDv9QYIHeH__Agx0v3jAf8HBhkM_df9EQQN-u4LCOYtCO_53gvV8TAG5dL19t30DPAWC_MG4wsCAP74ARMLzAIE9N4PEgYf6-YAAPIE5vjuAvsf8PogAC1O_As7OBNACUhhUAIqzwcQABrABxFumr5V5py8QxaAusRrDb2BBl06TtNnPCMT8L3XLSc99_1AvJ9bOD7nE3692Ao_vEsIMb3J5gq96mKuvImZDT7MP1-9652fuYbjCb7fIPU8rAEqvdjVhL2N8ie8Dt2sPEd_rr2bAY69S0STPG-bKT1xu0G9ztAuPMlXwrzmDAA9Qu4CvdQ6mz00VUa9Dp90vY42szwZj1I8obovOpyXlDwM8qm8bXrrPCN8hD05WcQ9o5X7vKXiOr3BKii8V6lKvYz8lTwc7fg9FOoMvKqB5r0CKwe-0mJfPCYFkb38Z5M72J2sOxpqBD7iMZE4g92wvNjCBz1Ex5m98juyvCY19L1-Ay49q7oCPdwEqT2Dv989HDGpvK70Kr5txd49itQLu8FMAL1_tEk9U32CvKQlZT2FYFC9Q5oHPZErUD3mlla93sF0PAlkwDzPWXU9hWOxPADTWLwPXIo8g7YGvbqHfz0lzne6b9NhO1BWjDxWFTW925nTPJhbED25edk86fEAOpk6WTw5oau8XilsOwUjpT3WAju-SeWaOuC82L13YYC9Pn0CvIpknj0gLhQ9eGa8ukGUiT1tJS-9O0j8OmuLQT1N_kK9ZDxKPAcrmb2IiPY8jP7IuyGPAL7Ve7o9K4uhuq6wqjxcfAA9qwbAu-PgUjxvvmw88xP3O2j2Dz3iirC8spRyuwwDFj19CCq8-tRSu_MQ1zxhQ-Y8e5-qO4PASj3Mzqa7ADcLuwTKJr29d227TeaKOn5oML0pK6G9lE64uMdnEj6uoOm9kAm0uQDy1LyGgR097SeduAlxIL1fVxg9B-w2ORXXgj2JTVq9OeuTOKs9kb0aUhW-MFEKOsMR5DzI6OW8YkYUujpFAr1NiT89QskvOokyqr3Z7j49g0-_uI9Efj2Ivhu9EOWZubDzsD0T3307Eyyft1XFD71XfIM9eDYFuBLPuzm6-4c9ebwFuCXXA70EtLg9qiequC-Lub2lu6u8tuX7uAIpET6s1CI9KxIAObDpnLx2NgQ-1_Ndt8nd07moZqA8lmQoOJoHED3eOMm9CDT7NsjtN70emBI9JtmCOGh1Mr5kpCg9F8pMtzwp-Lxxj-W9iR28uPinFD4D-k49H_TtNm-3iTxCUWo8h0IpOJJdGT7ZT1C9rMI_uTnFxL1ntya-1kdyODicjr2Po706h9H7t_8FYj3uQ_m8WxGOt_pB3T2_RSe9Z-kWt8r0cD0i4Ss-8cuKOGCamDxbmvs9hK39uGBGp70XgRC7k3TZN1sHhzx7rfq8_ixytyAAOBNACUhtUAEqcxAAGmAZ-AA6NyIE-swG_yICIzXGzv77D70K_xAIAKpbxyYPF7bRCDwAEOU0AZsAAAA_Fs8KBgDaf-u_JvPZ7x7bl737HVIzAB-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_AAAwwQAAIMEAABzCAAAQwQAAqEEAAADBAADwwQAAkEIAAGRCAAAgwQAAqMEAAKBBAADgwAAAqEEAAIhBAABgQQAAhMIAAABAAADgwAAARMIAACzCAADQwgAAoMAAANjBAAA4QgAAAEAAABRCAAAAQAAAEEIAAKDAAACQQgAAeEIAACBBAACoQQAAqEEAAJDBAABcwgAASMIAAABAAABAwAAAEMEAADjCAAD6QgAAtMIAAIzCAACYQQAAgEAAABhCAACAvwAATMIAAEBAAADQwQAAcMEAALhBAACwwQAAgEAAAFjCAACAQAAAhkIAAMBAAACIwQAADMIAAEDBIAA4E0AJSHVQASqPAhAAGoACAACIvQAAyj4AAEw-AADIPQAAJD4AAIC7AACYvQAAzr4AAAS-AABwPQAALD4AACw-AADovQAAoj4AABA9AACGvgAAoj4AANi9AAAwPQAAFz8AAH8_AAAEPgAA6D0AAFC9AABQvQAAQDwAAEC8AACIPQAAMD0AANI-AACIPQAA2L0AAPg9AAAMPgAAcD0AAHS-AACovQAAuL0AAHy-AACCvgAAQLwAADS-AAD-PgAAyL0AAAy-AAAwvQAAHD4AAIq-AAC4vQAAhr4AAIg9AAAEPgAAFD4AABA9AACYvQAAML0AADc_AAAEvgAAqD0AADS-AAC4vQAAJL4AABw-AAC4vSAAOBNACUh8UAEqjwIQARqAAgAAyL0AACw-AAAQvQAAH78AAKC8AAAQPQAAFD4AABw-AABUvgAAVD4AAKY-AACYvQAAJL4AABy-AAAQPQAAQLwAAHA9AAA7PwAA2L0AAOg9AADYvQAAuL0AAMg9AABkvgAA4DwAABC9AAAUvgAAoLwAABQ-AACAOwAAiD0AAFC9AACWvgAAgLsAAFQ-AAAQvQAALL4AAEC8AAA8vgAAcL0AAHQ-AACYvQAAHL4AAFA9AAA0vgAAmD0AAH-_AADIPQAAVD4AAKC8AAAsPgAAMD0AAIi9AACgPAAAZD4AABC9AAAQPQAAyD0AAFC9AAC4vQAAqL0AACS-AADIPQAAcL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=bgh7LMQXBA8","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["14868598073562414303"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2679028867"},"10907399425290175862":{"videoId":"10907399425290175862","docid":"34-11-8-Z2E4BEF7F9252F5E8","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4425815/6fd93576411141aeab911b840ada35e8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XpGECQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DI73vXyaogds","linkTemplate":"/video/preview/10907399425290175862?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoremi Örneği 3 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=I73vXyaogds\",\"src\":\"serp\",\"rvb\":\"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-ARD8-AEL_v4A5Pn7_gT-AQDz7Qv7_QAAAOABCQMHAAAACvT1_vX-AAAb9vr48gAAAAT-9vf1AAAA_QXv7v8BAAD2EgAFBP8AAAf6_xcAAAAAGgsUBf7_AAAWAP77AQAAAAvnCwcAAQAAIAAtIje2OzgTQAlITlACKoQCEAAa8AF_ERP-zPrN_9oD9wDoDdUBqQ0c__w10QDa4P0ApBPm_xX_8QDJAdz_A_3bALQT7P8aBdT__-TlAS-4DAIo9vT_4-ACASfT8wEvHgUANgDi_87-CwDzze3_GdXRAwQk2f4XwCL_-QHG_wvqtwkP_kAB5PsZAd75Gv7Y1iMC0hYCAgvU9vzzFvoH8wcB9uD1MQf46QoFFhMJ-fkg__oEEBgEC9z6-vEd6fgHGvcIBR_7ANHtDfoIyOsAEgoT9fn79QPODB8B_PcI_PjoBfcK9eH7-ufjAObcBRES6_EB0c0QBgoG5AHpKArv8u79A_gL9vEgAC0dRhA7OBNACUhhUAIqzwcQABrAB7x0q74qWyA8ZJVSvBipoDt3_LI8w4keOyMT8L3XLSc99_1AvJ92aD768uK9sXJDvEsIMb3J5gq96mKuvBSUQj5GRRy9c-gAvCv-ur3M90I9mzkEvSpddb3ND9I8XwzEOymYvL3Y1zq8kfrhPMLJjD0vUkO9fBm7PGWXBLrJx4M9jH6Xu9Q6mz00VUa9Dp90vWc9AjwAEhm8pgcHPJyXlDwM8qm8bXrrPCN8hD05WcQ9o5X7vOEfu70BQIS8ObTtvIz8lTwc7fg9FOoMvAhT-bzUntK98N0GPSv77ryZ2SI9Y6wfPBdj4D1N-PG5HS9Nu11OLj0xA_q8rXesO1UUz73OQ_076PioPCmuqjyWSq49-D_Zu670Kr5txd49itQLu8FMAL1_tEk9U32CvJHWeD2fwja8EEnjPFKl3DxBcTa8xH4LvCTRDbyZaCs9WJBmPADTWLwPXIo8g7YGvfOHqz2IYAG8Eu6-OdJP_ju4E8k5-JnpPJZLOT3WJHM9EzXqOxzjs7rfPTa9t5APvAUjpT3WAju-SeWaOgpCg71sv7u9DIPoOxmocT3nCoU9JclzPBWQVj2_Xpa93UPCuxjsxjw7M7a9oOEsO0c2rL2P7Zs9GVHBupxTCb5f-k09dEujuzp5bDx883Y8LtYmvA5PrzyDNek8A_j6O6NolDxFrqW8lpOzu7slPj3spL68tqvnu1C8rzzAzQI97YxGu3gqv7r_HuG8zb7AuuIAP73J3Yy8w6nmOirogb2cPKC9zgB1uP4MPz7JIq29TbCPuAQ2jLw9LNQ8u2NTt7O_Ir36kME8460fOSMhsD0de7G9nUhmOMui8LxbQh6-NwXjOeYEbT1DhbS8QBUaunIxlr3FHho9LCCWOR9iqL0-kH47ZZ_KuR5Nij11tCI7Y9BeufFFkD1SrU88nrK_OFZYur0dxgk8ndW2uamUDb1U7hQ9y8mCOL8gM7ysG889SQw0Nf1abb1ZU4S9YUafOIro9z0_kKw9gu5mOImsWjv2fy4-vDsVuausgj34xhA8udqkOIdFVj3TZaa9vyj0Nmb2Ob2wuZm8KMbCOKBQz70V74Y9wtICOPXabLw6Weq9YPq4NyIXDD5ZovM9PmJCuDjshLoR7sS8KwdeN62n9j2z6pi8ezs6uTnFxL1ntya-1kdyOMfIqL320tQ8kGe_t_cPeD09TUG8YdW7t5mmsz0M_uM8DEsHuLnBdTwt7Ak-hifnOIfVST1AL_w9t6oHuYZVjL30W4q9LFHgts9r7LtoUnG7dlnRNyAAOBNACUhtUAEqcxAAGmAd9ABJIRAC3bkG8QICCDuosOfiHr4F__cC_9M_zQIQLMjw9EAAC-Ek450AAABJ6cbuMwDsf8u5JAgXBxfDlbb5NnFFFzLS70j98tMMGAPsDDO1FwMAMP2sIGwKvzJnJRUgAC0HJww7OBNACUhvUAIqrwYQDBqgBgAAKEIAAKBAAABEQgAANMIAACBBAACoQQAA4EIAALjBAAAgwgAAoMAAAERCAAAQwQAAAMAAAEBBAABgQQAA8EEAAIRCAACIwQAAIEIAALjBAAD4wQAAOMIAAEDCAADQQQAAOMIAABDBAACAvwAAmEEAAKDBAAA0QgAAWMIAABBBAABgwgAAVEIAAJLCAACawgAAPEIAABRCAAAIQgAAYEIAACRCAABAwQAA8EEAAMjBAADgwAAAisIAAGhCAABUQgAAVEIAAEhCAABUwgAAIEEAAABBAACIQQAAAAAAALBBAACmwgAAkEEAAMBBAABIQgAAoEEAABzCAAD4wQAAYEEAAIA_AACKwgAAAAAAADDBAADgQAAABMIAAGhCAAAEQgAAlMIAAJBCAAD4QQAAQMEAAJLCAACIQQAADEIAAJhCAAC4wQAAwkIAABBBAAAkwgAAYEEAAAhCAADAwQAAiMEAAHBCAABEQgAAQMAAAAxCAAB0wgAAcMEAAPBBAADYwQAAgMAAAMDAAABAQQAA2EEAALjCAADgQAAAQMEAAODAAAAYwgAAQEIAAKBAAACAwAAAFMIAACBCAABQQgAAgL8AAOBAAAAsQgAAMMIAADRCAAAIQgAAsMEAADBBAAAowgAAmMIAAEjCAAA8QgAAFMIAABTCAABAwAAAyMEAAIBBAABEwgAAoEIAACTCAAAAwQAAEMEAAJZCAACoQQAA2EEAAKDBAAAwQgAAqMEAAADCAACgwAAAkEEAACRCAABkwgAAgkIAAKRCAAD4wQAAQEEAACBBAADwwQAAEMEAAGBBAAAAAAAACMIAAAAAAAAQwQAAksIAAATCAACMwgAAMMEAAPjBAAAcQgAAIEEAANhBAAA4QgAAAEAAAJjBAAAoQgAAZEIAAGBBAABEQgAAQEAAAIhBAACwwgAA0MEAAGBBAAAwwQAAyMEAACDCAACiQgAAhMIAABzCAAC4QQAAmMEAAMhBAACgQAAAkMIAAJhBAAAkwgAAqEEAANBBAABAwQAAyEEAAIDBAAAwwQAAREIAAJBBAAAgwgAAgEAAACDBIAA4E0AJSHVQASqPAhAAGoACAABMvgAA4j4AAIo-AADYPQAAbD4AAK4-AABUvgAAK78AAGS-AADIPQAAdD4AABw-AAAwPQAAuj4AAJo-AABsvgAA2j4AAAy-AABkPgAAPT8AAH8_AAAQPQAAAz8AADy-AAAcvgAAgDsAAAy-AAAQPQAA4LwAALo-AABMPgAAur4AAM4-AACSPgAARL4AAKK-AADavgAAyL0AAP6-AAB8vgAAoDwAALg9AADqPgAAlr4AAAy-AAC4vQAAmj4AABe_AADgvAAAG78AAAy-AADgvAAAfD4AAOA8AABUvgAAgLsAAG0_AABQvQAAgLsAAIi9AABUvgAAmr4AAOg9AAAEviAAOBNACUh8UAEqjwIQARqAAgAAoLwAAEw-AABQPQAAPb8AAPi9AACAOwAAlj4AAOA8AACIvQAATD4AANo-AADYvQAAiL0AAHS-AABAvAAAiD0AAEC8AAA7PwAAFL4AALg9AADgPAAA-L0AAIg9AAB8vgAAUL0AAKA8AABUvgAAmD0AAAS-AACAuwAADD4AAIC7AACavgAAoLwAAHQ-AABAvAAAbL4AAKA8AACmvgAAyL0AAJ4-AAAwvQAAyL0AAIC7AAAcvgAAMD0AAH-_AAAMPgAAbD4AAJK-AAAUPgAAJD4AAIi9AACAOwAAij4AAFA9AACgvAAABD4AADC9AABMvgAA2L0AAIa-AACIPQAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=I73vXyaogds","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10907399425290175862"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2900011023"},"7564722095397625674":{"videoId":"7564722095397625674","docid":"34-6-6-Z10276917F5EB1710","description":"Ders videolarını konu başlıklarına göre sıralı olarak izlemek için websitemizi ziyaret edin: https://tr.khanacademy.org Her gün en yeni eğitici içeriklerimizi ilk izleyen olmak için kanalımıza...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3794165/1ffb6e3e946f2a90a2a69e0a294196d8/564x318_1"},"target":"_self","position":"10","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvR8lOaWEt-Q","linkTemplate":"/video/preview/7564722095397625674?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 6 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vR8lOaWEt-Q\",\"src\":\"serp\",\"rvb\":\"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_wEHB_cA9v__AOz7B_oHAAAA8uz_9AL_AADmAPf_BwAAAAD78A74_QAAF_0N9QQAAAAQ_Qrx_QAAAPEI8_j_AQAA_BAP9wIAAAAJBAILAAAAAAQLDBP-AAAAFAD--wEAAAAK6QoGAAEAACAALfyZxzs4E0AJSE5QAipzEAAaYOsNAFQJ-fSyzA79EB0zLbPMC9wU3hz_8h7_yUr2-_tAttriZwD11RTjmAAAAFLkuvg0AMV_rdEKCggqCrmGy9YlfkYUCAUmGfXs4u_YE_s3HOrx6QAh2Ob_exfaN1ofPSAALYrlCTs4E0AJSG9QAiqvBhAMGqAGAAAQQgAAuEEAAKhBAACYwgAAEMEAAADAAACyQgAAgD8AAGDCAADQwQAAPEIAACTCAACAvwAAQMAAAJDBAADQQQAAhEIAAMDAAABQQgAA4MAAAPDBAACQwQAAjsIAAJBBAABMwgAA6MEAAHDBAACAvwAAIMEAAIA_AABAwgAAkMEAABTCAAB4QgAAlMIAACDCAAAgQQAAQEIAAFBBAACCQgAALEIAAABBAADoQQAAQMIAAKDAAACQwgAAWEIAACRCAAAMQgAAmEIAABzCAAAAwQAA2MEAADxCAAAwQQAAAEAAAJ7CAABQQQAAoEAAAJBCAAAcQgAAyMEAAOjBAACgwAAA4MEAAKbCAABwwQAAcMEAAADBAADYwQAAgEIAAFxCAACAwQAAhEIAAAAAAADIwQAATMIAABDBAADoQQAAtkIAAMBAAADEQgAAuMEAAADCAAAAQAAAokIAAIC_AADAwAAABEIAAAxCAAAgwQAAMEIAABTCAACgwAAACEIAACjCAACgwQAA2EEAAJBBAACiQgAAvsIAACBBAADYwQAAmMEAAIDCAACQQQAAkEEAAKBBAAAwwQAASEIAAHhCAACQQQAAoMAAAHBBAABAQQAAXEIAAAxCAADgwQAAkkIAAKDAAABgwQAAcMIAAMBBAAAgwgAAcMIAAFDBAABowgAAAEAAAHjCAABcQgAANMIAAIDBAADgQAAAWEIAABDCAACIQQAAoMAAAOBBAACAvwAACMIAAIDAAADoQQAAgD8AABjCAACiQgAAbEIAAABBAAAgQQAAMMEAAGDBAACQwQAAIEIAAIBBAACwwQAAqEEAAJjBAACQwgAAUMEAAFjCAAAgwQAAOMIAAMhBAAAoQgAAuEEAAAxCAAAQQgAAgMEAAGBCAAAUQgAAAMEAAIC_AAAkQgAAqEEAAFTCAAAowgAA8EEAALDBAADQwQAAwMEAAM5CAADGwgAAJMIAAADBAACAwAAA8EEAAIDAAACEwgAA-EEAAGjCAABwQQAAmEEAAKBAAAAAQAAAcMEAAMjBAACKQgAA4EAAAEDAAADAQAAAgMEgADgTQAlIdVABKo8CEAAagAIAANi9AADqPgAAlj4AADA9AACIPQAAxj4AANi9AAA1vwAAQDwAAHA9AACiPgAAPD4AAIC7AAC6PgAAJD4AABC9AAAbPwAADL4AAP4-AABVPwAAfz8AAHC9AAApPwAA-L0AAI6-AABwvQAABL4AABC9AAB0vgAAsj4AAEQ-AADuvgAAzj4AAMg9AABMvgAAXL4AAO6-AABQvQAAHb8AAGS-AACIPQAAJL4AABs_AABwvQAAhr4AAOg9AACaPgAAPb8AANi9AADqvgAALL4AADC9AACKPgAAUL0AAJK-AACAOwAAeT8AAKi9AAB8vgAAFL4AANi9AACevgAAoLwAABC9IAA4E0AJSHxQASqPAhABGoACAACIPQAADD4AAJg9AABDvwAAcL0AANg9AACOPgAAED0AAAy-AAAcPgAAxj4AAPi9AACYvQAAZL4AAOC8AABwPQAAqL0AADs_AAAkvgAAmD0AAIA7AAAcvgAAED0AAIq-AADgvAAAUL0AABy-AACoPQAA6L0AAEA8AAAkPgAAoDwAAMa-AABwPQAAPD4AAHC9AADovQAAUD0AAMq-AABMvgAAhj4AADC9AACYvQAAMD0AAES-AABwPQAAf78AAAQ-AACSPgAATL4AAHA9AAAkPgAAmL0AAEC8AABMPgAAcD0AAEC8AAAsPgAA4DwAAAy-AAAQvQAAdL4AABA9AACAOyAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=vR8lOaWEt-Q","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7564722095397625674"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"10678232737944650391":{"videoId":"10678232737944650391","docid":"34-8-15-Z937F479652F71B44","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2468218/0e8c4dbdcb3f6991ad6770b3efa1dfd7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/FPMhDAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=videoid:10678232737944650391","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından yüzeylerin parametreleştirilmesi ve ds'nin hesaplanması konusu anlatılmaktadır.","Videoda, bir yüzeyin x ve y parametrelerinin fonksiyonu olarak nasıl tanımlanacağı açıklanmaktadır. Eğitmen, yüzey konum vektör fonksiyonunu r olarak adlandırarak, bu fonksiyonun kısmi türevlerinin çapraz çarpımının ds'yi nasıl verdiğini göstermektedir. Ayrıca, sağ el kuralı kullanılarak çapraz çarpımın doğru yönünün nasıl belirleneceği ve matris determinantının nasıl hesaplanacağı adım adım anlatılmaktadır. Video, matematiksel hesaplamalar ve geometrik açıklamalar içermektedir."]},"endTime":484,"title":"Yüzeyin Parametreleştirilmesi ve DS'nin Hesaplanması","beginTime":0}],"fullResult":[{"index":0,"title":"Yüzeyin Parametreleştirilmesi","list":{"type":"unordered","items":["Yüzeyin konum vektör fonksiyonu r olarak adlandırılacak ve x ve y'nin fonksiyonu olarak tanımlanacak.","Parametreler olarak x ve y kullanılacak, i yönünde x çarpı i birim vektörü, j yönünde y çarpı j, k yönünde ise sadece z olacak.","Parametrelerin tanım kümesi, xy koordinat çiftinin r'nin elemanı olması gerektiği şeklinde tanımlanmalıdır."]},"beginTime":0,"endTime":96,"href":"/video/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=0&ask_summarization=1"},{"index":1,"title":"ds'in Tanımı ve Yönü","list":{"type":"unordered","items":["ds, r'nin x'e göre kısmi türevinin r'nin y'ye göre kısmi türeviyle çapraz çarpımının bölgenin diferansiyeli ile çarpımına eşittir.","Çapraz çarpımın doğru doğrultuda olması için, sınır çizgisinde ilerlerken yüzeyin de bu doğrultuda olması gerekir.","Sağ el kuralı kullanılarak çapraz çarpımın yönü belirlenir ve bu durumda çapraz çarpım yukarıya doğru yönelir."]},"beginTime":96,"endTime":307,"href":"/video/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=96&ask_summarization=1"},{"index":2,"title":"Çapraz Çarpımın Hesaplanması","list":{"type":"unordered","items":["Çapraz çarpım, r'nin x'e göre kısmi türeviyle r'nin y'ye göre kısmi türevinin matrisinin determinantı olarak hesaplanır.","r'nin x'e göre kısmi türevi 1i + jz, y'ye göre kısmi türevi ise 1j + kz olarak tanımlanır.","Çapraz çarpım sonucunda -z'nin x'e göre kısmi türevi çarpı i birim vektörü - z'nin y'ye göre kısmi türevi çarpı j birim vektörü artı k birim vektörü elde edilir."]},"beginTime":307,"endTime":480,"href":"/video/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=307&ask_summarization=1"}],"linkTemplate":"/video/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 2 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_hdUCxN3m3Q\",\"src\":\"serp\",\"rvb\":\"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-wDu_gAG-AP_AQcH9wD2__8A7PsH-gcAAADy7P_0Av8AAOYA9_8HAAAAAPvwDvj9AAAR9gr68gAAAAUABOz6AAAA_wjw_f8BAAD8EA_3AgAAAAkEAgsAAAAACwkLCAAAAAAUAP77AQAAAArpCgYAAQAAIAAt_JnHOzgTQAlITlACKoQCEAAa8AF_EhIB4Pi4AdEC6wHrC9oBsCkg__0u1wDR9_8A3fHbAA3w1wDSDff_IxjiALUA0wEh7tz_8NXsAC7wAP8wzQoAyfQUACj71AAjFxkACfkM_uALCv7r_AEB5OHT_wcK1v4d5Bv_9wnkAgntwAgO_jgB1wkhBSzh_vze2_gC6RMOAgQY0wDcIvb95gMJ9fkfGAQI7hMELCQH_en-4gT-7AoF-unu-BsR-QX-5P4B8S4BBf_7-wMQ0Bj8FB4f__kK-_vpAxQA2fsI-PfbD_QUAuYF6_bw9_3k9An79Qn999wA_CH37Pr5C_D5BOjq__v4-fEgAC210SQ7OBNACUhhUAIqzwcQABrAB7x0q74qWyA8ZJVSvKNTPL30yBu8600xvLzK2r1AGMM9Ik-zu2eaMD4gkVu8Q-StOYv7z71urpA8nVPiu_jfKj6mwBe8uUgLvXV0_L0vE5o9CwIQvU_l1L369488uuwhPerslL09vS29xm30PG-bKT1xu0G9ztAuPGGCYLtvFgo9GLptvCgTMj2wXyu9sac9vaWa_juVybq8eOXhu1sxoj2xkVq9T2xPPL_jSj32C1Y9lvn9vOyzlLxr1e68i-jyvPDnyjsfg1U94o-HPJxYNr0tnjW9kOPiPN8Ykr3Zv-E8AZnGO37-Cz7NsZw9xg6PvNjCBz1Ex5m98juyvC-G8r10kHy8_SGsPF6dAz270ec9uBAYPK70Kr5txd49itQLu2XJF73OOM08baAMvNOG4z3Mdmo91nS9PNCAlT1DkIM8wX2Ru-DsAL3gWIY8nTnaPP4f8Tx8_mq9XBjOvE6OzD0eeiE9Pi7gu688LT1UvUY8vsdTO930Qjv9BRE9Y0WqO1oM4LujWK68YMegu4_gFj5beA6-A-cOvCi6vr2m7Lm9Q6SNO7WRJj1_qzA9ux3Muw1EAzzuCdK9NVOtu3mVkLzwNT-9KGBgPEo6D72pORS95Qmpuylb5L0b9yE9XquQu3gj2LzNyJU9Mh0du0I9IjwtcWk9WemkOzTPGz12kw69AeGeO7slPj3spL68tqvnu1t5ST0yLmY8yVo_u_ueZz3E04o7xgW5O00ZM73VC5k8WNMrPC_p3ryN8Na9fY1OOcdnEj6uoOm9kAm0uc4YZr2_z108I-27uevUi7yTCjk95TyWOfWB5D1de8C9JZ4dt8ui8LxbQh6-NwXjOSCYkz02gw274hrzOS666TvMeWs9HLxNOS9Q8r2oXJy9Q4C_ty3uPz08BVo63xHluEnVez0h_3G8TZRRNzP8t734Gdc9lT3PuA0zuLu6-Ju8sL4Juu7AirylIbQ8ifupN3l5Vb1TXeC9wpdYOcN3LD3uSKA9be0bOXToGbvJsCU9pMMROLlIa7wBgyk9nlfSuAacJbyMatG9-lP3Ny35abzyCsQ8ki9yN8rhA74Q1x48l_1ON2fZDj3Ncl69wIanN7NP9jzyAWY99mBHtw_DfT0K8z49iPe_NoJVRT50yDc9ydyEuflK4L0Mj929YzNEuPGdiL0rt769cbzSt45EwzyUZ3495oOMNhT0TT20vae9l5eNt8r0cD0i4Ss-8cuKOHF8Y736JQI-qYEsuaclBr7PGYu79I40NhgMST2FZQe9R9K1NyAAOBNACUhtUAEqcxAAGmAG9ABKDw3049sW9B4FHDanyPXZE90M_-cE_9k46g0NIMHj80YA9Ngkz6MAAABC5sT7QADfdcDOMxv-JQm8gcP2FXc2DSXREyb879cV7hb6NiXV-w8AH_imH1gWvCRDGTYgAC2l9RU7OBNACUhvUAIqrwYQDBqgBgAABEIAAIC_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-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-AAAQvQAAyD0AAA8_AACIvQAAV78AABy-AABEPgAAyj4AALg9AADgPAAAgj4AAOg9AADYvQAAHT8AABS-AAANPwAAZz8AAH8_AADgvAAA9j4AAHC9AAB0vgAAgDsAAIK-AACgvAAAJL4AAAc_AAB8PgAA7r4AAPI-AACIPQAAuL0AAGy-AAABvwAAqD0AAOq-AAAcvgAAVD4AABA9AAAbPwAAPL4AANq-AADIPQAAsj4AADO_AAAUvgAABb8AABC9AAAUvgAAvj4AAKg9AADYvQAAED0AAHE_AAAQvQAAir4AABy-AAAEvgAAgr4AAHA9AABAvCAAOBNACUh8UAEqjwIQARqAAgAAQDwAABQ-AABAPAAATb8AAPi9AACoPQAAmj4AADA9AACovQAADD4AAM4-AADYvQAAuL0AACS-AADgvAAAUD0AAMi9AAAzPwAANL4AALg9AADgPAAALL4AADA9AACGvgAAUL0AABC9AAA0vgAAuD0AAJi9AACgPAAAHD4AAKA8AADSvgAAQDwAADw-AACIvQAAqL0AALg9AAC6vgAATL4AAJY-AAC4vQAAiL0AAHA9AADovQAAmD0AAH-_AAAcPgAAij4AAES-AACoPQAAPD4AAHC9AABAPAAAND4AALg9AADgvAAAHD4AAMg9AAAsvgAAoDwAAHS-AACgPAAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=_hdUCxN3m3Q","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10678232737944650391"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"1613397003"},"4311501714953088424":{"videoId":"4311501714953088424","docid":"34-8-16-Z848658A5613F7D4C","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2497773/f1235ecd4dfcf146a547014d81ca721b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/su5TCgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=videoid:4311501714953088424","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından Stokes teoremi kullanılarak bir çizgisel integralin yüzey integraline dönüştürülmesi ve hesaplanması gösterilmektedir.","Videoda, f'in burulması (del işlemi) hesaplanarak başlanmakta, ardından bu ifadenin nokta çarpımı ve ikili integrali hesaplanmaktadır. Eğitmen, r ve theta parametrelerini kullanarak integral hesaplamasını adım adım göstermekte ve sonunda sonucun pi'ye eşit olduğunu bulmaktadır. Video, Stokes teoremi kullanarak çizgisel integralin yüzey integraline dönüştürülmesi sürecini detaylı olarak anlatmaktadır."]},"endTime":400,"title":"Stokes Teoremi ve Yüzey İntegrali Hesaplama","beginTime":0}],"fullResult":[{"index":0,"title":"F'in Burulması Hesaplama","list":{"type":"unordered","items":["Video, çizgisel integralin Stokes teoremi kullanılarak yüzey integraline dönüştürülmesi ve sonucun pi'ye eşit olduğu hesaplanmasını içermektedir.","F'in burulması, i, j ve k bileşenlerinden oluşan bir determinant veya del işleminin vektör ile çapraz çarpımı olarak tanımlanmaktadır.","Vektör alanının bileşenleri i = -y², j = x ve k = z² olarak verilmiştir."]},"beginTime":0,"endTime":46,"href":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=0&ask_summarization=1"},{"index":1,"title":"F'in Burulması Hesaplama Adımları","list":{"type":"unordered","items":["F'in burulması hesaplanırken, i bileşeni için z²'nin y'ye göre kısmi türevi ve x'in z'ye göre kısmi türevi sıfır olduğu için sadeleştirme yapılmıştır.","J bileşeni için z²'nin x'e göre türevi ve y²'nin z'ye göre kısmi türevi sıfır olduğu için sadeleştirme yapılmıştır.","K bileşeni için x'in x'e göre kısmi türevi 1 ve y²'nin y'ye göre kısmi türevi -2y olduğu için f'in burulması k(1+2y) olarak bulunmuştur."]},"beginTime":46,"endTime":126,"href":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=46&ask_summarization=1"},{"index":2,"title":"İntegral Hesaplama","list":{"type":"unordered","items":["İntegral hesaplaması için r parametresi 0'dan 1'e, theta parametresi 0'dan 2π'ye değer almaktadır.","Y'nin r sinüs theta olduğu bilgisi kullanılarak, integralde y yerine 2r sinüs theta yazılabilir.","Nokta çarpımı hesaplanırken, rj+r k ifadesinin sadece k bileşeni olduğu için sonucun sadece k bileşeni değerlendirilmelidir."]},"beginTime":126,"endTime":230,"href":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=126&ask_summarization=1"},{"index":3,"title":"İntegralin Sonuçlanması","list":{"type":"unordered","items":["İntegral hesaplanırken önce theta'ya göre ters türev alınır: r'nin tetaya göre ters türevi r/teta, sinüs teta'nın tetaya göre ters türevi -cos teta'dır.","İntegral hesaplanırken, teta yerine 2π ve 0 şeklinde değerler konularak sadeleştirme yapılır.","Sonuç olarak, 0'dan 1'e kadar 2π r dr integralinin belirli integrali π olarak bulunmuştur."]},"beginTime":230,"endTime":362,"href":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=230&ask_summarization=1"},{"index":4,"title":"Sonuç ve Özet","list":{"type":"unordered","items":["Video, çizgisel integralin Stokes teoremi kullanılarak yüzey integraline dönüştürülmesi ve sonucun pi'ye eşit olduğu hesaplanmasını içermektedir.","Sınır, belirli bir yüzeyden geçmektedir.","Bu yüzey integrali değerlendirilerek sonucun pi'ye eşit olduğu bulunmuştur."]},"beginTime":362,"endTime":392,"href":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=362&ask_summarization=1"}],"linkTemplate":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoremi Örneği 4 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=3mVxFektOeY\",\"src\":\"serp\",\"rvb\":\"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_cDCQQE_gERDvoDCf8A_-b6-_4E_gEA-v0H7f0AAADmBREB_wAAAAH1AQX0_QEAHQL79AQAAAAI-Qf48wAAAP8J8P3_AQAA9gsJ_QMAAAAJBAILAAAAAA0FAQX7_wAADgcT_AAAAAD74wr-AAAAACAALSh1xTs4E0AJSE5QAiqEAhAAGvABfxT7_8n6y__UBcQA4QzzAcoJEgD8OM8AvsD0ALL2wgEq-8gAyA_2_wop4wC-BNX_GtPf_-3N6AA_2vwAOsMMAM8Z8wE5BuABPCsbACUMFgDpCykA8srs__fyzQDzBMoBA9QF__4N6gHsA70CIxcpAcLnDQUN70IBv8kuB97uCQYT9OT6-TD3AfIHAfXyEhH8Bu0I-zIGFvzyU-QI_gEk_P7H_vEfHd_9Bf0JCiEN8gO56Rf9B8YH9PwoHQv4GNb81PExBuEI-_fW_wT4JvPl--AA9gbt7PoL8QET-Rrd-fkW2eoC-QcK9Pf89P3kG9zxIAAtUm0JOzgTQAlIYVACKs8HEAAawAfMXcO-ZNL4ukvw_jtayK08M9xAPZ5ilbxfJX-9FK8yPBmikrufWzg-5xN-vdgKP7zDeFe9QVKbOxlZMrzFVYU-VDBvvZt_Krx1dPy9LxOaPQsCEL1lNBe92CKzPJR9oTyvCvS94N0EvEbfDbyIZXM9pWqbvXACmTpviwi9Q0cHuiPYGL1BZoc96OEhO_bVUL0QFwq9vv-qvJkC4zrtr4g9g-4cvS7aa7u_40o99gtWPZb5_bzhH7u9AUCEvDm07by7fGu8bm6cPUm-kjwIU_m81J7SvfDdBj1Dbuu8OSy4PZ3JiDyswms9nX9gPddFdrxFVi0928FIPX2wDryt-QG-VKWSPCHR3zsnkn49fPmIPeB8jzwdPd69vsAMPrsIC7o5LGi81E8OPYBRG7wBmbc91qIqvFchijwAYCs8j9CFvA01yrwIm_C8_2McPRcNmTwgS6o9qBb2vFx2iLzzh6s9iGABvBLuvjmyUhg8AgkPPdm8vzu-24w9S1X7Oju1qTwc47O63z02vbeQD7zfZsY9ObXzvYcfGDwKQoO9bL-7vQyD6Dt_7hU9fA_XPVXVU7vw-WE9FF8NvneEEbsmiYo8AdR5vdaPybtjGYG9hEEhO5eNLbtQAqa9eh9CPQTBSrutgTK9t1bFPP4w_Lt4iSA9PBz4PJvIijs_QZw7VyQWviKaCrpo_q09eahyPc0YCztQvK88wM0CPe2MRrvMrC89xb2zvbqhxjrkNWq9GWayPFAeODl9I9q9BMuRvTZcgTn-DD8-ySKtvU2wj7iiLi28GcyaPflwwbnkQk-9euMEvVSvtbh_Np09aCXIvEam-rgeEai9zvxKvgHLDjkYP709qYAAvYkyObmZuPa7HpTmPKMfETtff729Hxg7vQjVN7m7FLI9Dic6vQAppbmPoII96IoyukK-IjgZeJm9l_rcuxlCmbjLL8M8IJXFu_yORTpIdCq9e0MrPJW5tbeYtFI7P3DFvfcuYDmSWug8i_GrPbob1jc6K5g8EvmePWyeh7gjYYQ8ume9PSVfd7feWfs82PGfvRgNlzimLhS9J-5CPbpoCbdaNKO9fFpKPXIgbDgCigc8nzmgvbMRnbfGbCk91XIMPZuZiTeNIr8507lHvKk3GjjB4ys-3KVovAeJdLk5xcS9Z7cmvtZHcjh19fS8Wd3qvQ0j8TXtkZe8QfaFPX6Fn7ZTZU48e1yVvV51vLfK9HA9IuErPvHLijjv8rO92gICPlDxYLkjaMy9DQH6O28GBjfj-TG8ngQ7vVZMhzUgADgTQAlIbVABKnMQABpgHewAUSgQ7dHEAu0A9Q45u7jm3RXFC__wDP_PSuAIGCy17gpDAAXZOt-eAAAARufa9DwA1H_LwjkDDgYcxYm79zF2Nh9Cv_Qv_e_QHAoR5hYyygYFAEDrqCJQD7sOSij8IAAtXcQNOzgTQAlIb1ACKq8GEAwaoAYAAAxCAACgwAAADEIAAETCAAAwQQAAgEEAAOpCAADwwQAAFMIAAGDBAABAQgAAwMAAAMDAAADQQQAAoEAAAARCAACGQgAA0MEAAOhBAACYwQAADMIAABDCAABUwgAADEIAAEDCAACAPwAAgEEAAFBBAACQwQAAVEIAACjCAACgQAAALMIAAExCAACswgAAnMIAACBCAAAoQgAAFEIAAExCAAA4QgAAgMEAALhBAACgwQAAAMEAAKbCAABkQgAANEIAADBCAAA8QgAATMIAACBBAAAAAAAA-EEAAADAAAAMQgAApsIAAOBAAACgQQAAHEIAABBCAAD4wQAAMMIAABBBAADgwAAAgMIAAAAAAACgwAAAUEEAAPDBAACGQgAA8EEAAIbCAACMQgAA6EEAAKDAAAB0wgAAqEEAAKhBAACcQgAA6MEAAMxCAABAQQAAPMIAAIBBAABEQgAAgMEAAMDBAABQQgAASEIAAADAAAAEQgAAhsIAAKBAAACYQQAAsMEAAMDAAADAwAAAiEEAAABCAADAwgAAoMAAAABAAAAQwQAAIMIAAERCAAAAQQAAEMEAABDCAAA8QgAAPEIAADBBAACAPwAAWEIAAEDCAAAYQgAADEIAAHDBAACQQQAAPMIAAJbCAABUwgAAFEIAAAzCAADowQAAgD8AABTCAADAwAAARMIAAJ5CAAAswgAAAMEAAIC_AACKQgAA2EEAAOhBAACAwQAAKEIAAPDBAAAQwgAAEEEAAEBAAAA0QgAAcMIAADxCAAB8QgAAcMEAAIhBAACgwAAAyMEAAKDBAADYQQAAQEAAAADCAACAvwAAcMEAAI7CAADgwQAAoMIAAIDAAAAswgAACEIAAKhBAAAMQgAAPEIAAIA_AAAwwQAAREIAAFxCAAC4QQAAREIAAABBAACoQQAApsIAAMjBAACYQQAA2MEAAMDBAADgwQAAwkIAAFTCAAAAwgAAsEEAAMjBAADAQQAAgEAAAJzCAACQQQAAHMIAABBBAACgQQAAAMEAAGBBAADgwQAAwMAAAERCAAAAQQAAFMIAAGBBAACgwSAAOBNACUh1UAEqjwIQABqAAgAAQLwAAD8_AACePgAA6D0AAFQ-AACmPgAA-L0AADW_AABMvgAAiD0AAO4-AABsPgAATL4AAKY-AAAQPQAA6r4AAB0_AACivgAAVD4AAHs_AAB3PwAAMD0AAL4-AADIvQAAED0AAHA9AAAcvgAAnj4AAIi9AAD6PgAAbD4AAPK-AAD2PgAA-j4AAOi9AAANvwAAor4AAHy-AAAFvwAAZL4AAPg9AAA0PgAALz8AAOK-AACovQAA4DwAAJo-AAAzvwAAoDwAABW_AACIvQAAQLwAAHA9AADYvQAAFD4AAMi9AAB_PwAAir4AALi9AABUvgAAzr4AAKK-AADoPQAAtj4gADgTQAlIfFABKo8CEAEagAIAAOC8AAB0PgAAiL0AADe_AAAUvgAAMD0AAKY-AACgPAAAUL0AAJI-AADSPgAAqL0AABy-AABUvgAAgDsAAOA8AADgvAAAMT8AAPi9AAA8PgAAoLwAACy-AAC4PQAAXL4AAEC8AAAQPQAAVL4AALg9AADIvQAAoLwAAOg9AAAQvQAAmr4AAOA8AACKPgAA2L0AAOi9AAAQPQAArr4AAJi9AACaPgAAED0AAJi9AACAOwAAHL4AAHA9AAB_vwAALD4AAGw-AAA0vgAA2D0AAAQ-AADYvQAAMD0AAJ4-AAAwPQAAoLwAAFA9AAAwvQAADL4AAIi9AAAUvgAA6D0AAHA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=3mVxFektOeY","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4311501714953088424"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"2660941444"},"7210000648454495677":{"videoId":"7210000648454495677","docid":"34-3-7-Z98D91433592775EE","description":"Ders videolarını konu başlıklarına göre sıralı olarak izlemek için websitemizi ziyaret edin: https://tr.khanacademy.org Her gün en yeni eğitici içeriklerimizi ilk izleyen olmak için kanalımıza...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/227537/dd649548c9712debd7d9a2758e46583f/564x318_1"},"target":"_self","position":"14","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_FGIZ0PGPCU","linkTemplate":"/video/preview/7210000648454495677?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 3 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_FGIZ0PGPCU\",\"src\":\"serp\",\"rvb\":\"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_wEHB_cA9v__AOz7B_oHAAAA8uz_9AL_AADmAPf_BwAAAAD78A74_QAAEfYK-vIAAAAFAATs-gAAAP8I8P3_AQAA_BAP9wIAAAAA_wAKAAAAAAQLDBP-AAAAFAD--wEAAAAK6QoGAAEAACAALfyZxzs4E0AJSE5QAipzEAAaYOkLAFYP---60A_9EiQkLbbF_t8N3xH_8Rn_2ELx__gxs9zhXQD72RfsnQAAAFTgvQA1AMN3ssoaEQ8h_cmB0NQefUEaBxAhJvr23uzjEA0qGePw7QAd1-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_AABAwQAAQEAAAIA_AADIwQAAoEEAAADBAACkwgAAGMIAAKjCAABAwQAACMIAANBBAACQQQAAwEEAADxCAABAQQAADMIAAJ5CAAAoQgAAgD8AAAhCAAAYQgAA-EEAAEjCAACowQAA2EEAAPDBAACAQAAAgEAAAKJCAADCwgAAYMEAAEBBAAAwwQAAQMEAAOBAAACEwgAAqEEAAGzCAAAgwQAAkEEAAABBAACIQQAAqMEAAPDBAABQQgAAQEEAAIjBAABAQAAAAAAgADgTQAlIdVABKo8CEAAagAIAAGS-AADmPgAAnj4AAKA8AAAkPgAA5j4AACS-AAA7vwAAFL4AAFA9AAB8PgAAZD4AADw-AAB0PgAAjj4AANi9AADuPgAAmL0AAJo-AABJPwAAcT8AAEC8AAATPwAA6L0AACy-AACovQAAXL4AABC9AAD4vQAAzj4AAHQ-AADqvgAA_j4AALg9AAAsvgAAZL4AAAW_AADYvQAA_r4AABy-AAAEPgAAgLsAAAM_AAB8vgAAgr4AABw-AACGPgAAI78AABy-AAAFvwAAyL0AAAy-AACKPgAAgDsAAKK-AAAwPQAAfz8AABC9AAAcvgAAcL0AAIi9AACavgAAMD0AADS-IAA4E0AJSHxQASqPAhABGoACAABAvAAAFD4AAHA9AABNvwAA-L0AAFA9AACCPgAAED0AAMi9AADYPQAAxj4AABy-AABwvQAAVL4AAEC8AABwPQAA2L0AADs_AAAkvgAA4DwAAIg9AAD4vQAAcD0AAHy-AACIvQAA4LwAAES-AAC4PQAAyL0AAIC7AAAkPgAAoDwAAL6-AACgvAAAND4AABC9AAD4vQAAUD0AAMK-AABUvgAAbD4AADC9AACIvQAA4DwAAPi9AABwPQAAf78AABw-AACWPgAAjr4AAKg9AAAMPgAAcL0AAOA8AABcPgAAqD0AAEC8AAA8PgAAUD0AADS-AABAvAAAjr4AABA9AABAvCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=_FGIZ0PGPCU","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7210000648454495677"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3230117114181860777":{"videoId":"3230117114181860777","docid":"34-2-5-Z8D6AFA4CA9CB29B7","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2121721/da197dc0d95796d95467072857a56475/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/pG8gDAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIbz_IrGYP_0","linkTemplate":"/video/preview/3230117114181860777?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 1 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Ibz_IrGYP_0\",\"src\":\"serp\",\"rvb\":\"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-AYLAQAA7_4ABfgD_wEGB_gA9___AO38B_oHAAAA7vwA8_gAAADy-vgBCQAAAAD78Q34_gAAFv0M9gQAAAAP_Qny_QAAAPIH9Pj_AQAA_A8O9wIAAAAECPsKAAAAAAAFCgMBAAAAEwD-_AEAAAAJ6wkGAAEAACAALbgv0zs4E0AJSE5QAiqEAhAAGvABaBE6_dT1nwGBFrEA5BDNAdoHN__8P8gAuBUrAd_vEwD51b8B6uveATzo9wDIxQcAFuHn_9gO4ABIO97_RfAZAQAM2AHq0ucAB98ZAeEZ8f_AKCL97w_s_vwCwgDpA9j_JwUE-h0i3_389sn86jVEAvUJ9Qol6hYC3gjw_v42LQD19rr-LRoaBfwyKfnPICcCHejt-zruKv4LOeEA6uQj_dr1_AcI4ugGKPzp-M7cGfQTtCD3BvIIBAniMwkEGPr5Bw4XDtm29PkgHhP1ROYU-uDO6gQFAu8Q48ENBW7RCPPZHAADz9wDDf7_8uobLwr_IAAtHY7zOjgTQAlIYVACKs8HEAAawAd07Li-dSQSvUjaEbwsLs68cXCOPCHegLu8ytq9QBjDPSJPs7s_c0Y-Du4zvZb5fTtQSHy9cdGkvAE82LyY3SM-gUmQvUP09byG4wm-3yD1PKwBKr0eWjq9IMe9u4l4qzyVmce9otkQvUGbHDwwR888OLqPvfInKjwzOKW8gCXbO1sAZLwoEzI9sF8rvbGnPb0NOOK3WI3GO0JEqLtlbVc7jORhvEseTzyzzXI9QfuHPAr3yrwWkmK9EV51uz7007yEWRI9uOdZPWIgGTzr-4W9PmhMvYc7ETzfGJK92b_hPAGZxjt-_gs-zbGcPcYOj7x_wrQ8Wnc9vUcl7btVFM-9zkP9O-j4qDzA0Wk6kiQYPso0uzqu9Cq-bcXePYrUC7v5hOw89pUHPbGbgLvNHug9RQKXvGjJyDzWZJc9OCEDvbc1N7sBvZW8VIhsPTELVjkiRAM9RYBTvETf3bytM949KubjuWyE9rvW2do8KkWhvFYPmDykLI09nRwVvHlskTvjxWI95XUuPV95kLwFI6U91gI7vknlmjomlHm9sQlavZGCfTkskRU8RFxPPSM0ADzAhes8pQSjvb3SRzuscfa8fI9kvYDCjzp41Ii9q7n3vDMuwTohjwC-1Xu6PSuLobqUdyS9L4W3PSeh17sOT688gzXpPAP4-jtAnkI9oiWPvII1lDtibL67qIEwPT6BybpjMQA9V12HPHRiCzuDwEo9zM6muwA3C7t5IR29VLdpvJfOwTobiEC8sWv7vba-nrnHZxI-rqDpvZAJtLm1WZC9GbQrPQJNkzgzxZy843-cPb_uWjeF-SE9ydAMvWo2_LWrPZG9GlIVvjBRCjr14LQ9yepzO9akJrjRpSk9r3FnPURexbofYqi9PpB-O2WfyrlOqLE8BSAkvHtjo7lgHcc8NrEbPV4UWbjTRJS9TbSlPaI4BzmuHXs83HksvRdCBjfJ4Ti9Itg9PWh0Mbhozc-9limhvQfWIDgXvnk9f1SuPTkx1TiWdmo8T0dWPU3MPrhywmQ93_8CPWwNDDi4Pqy8bAb4vXn_ILgRTJq8o9KDPSMfDDjK4QO-ENcePJf9TjfsOQQ9KnaPvFMgkbcdCS89NS1MPf1YGDhoglm7unyQPcLWZziCVUU-dMg3PcnchLk5xcS9Z7cmvtZHcjh3SIa97PgvvUBqP7hRuCM9YS2jPGeMKrYNEkc8dHz0vVZYWbjK9HA9IuErPvHLijh8Yo29IQPZPYE1MLmtbeq9FDu_PG_S4zeKMxA9AYBIvRA0ErYgADgTQAlIbVABKnMQABpg7QUAQgoN29fhGv0P9DcgsMAR6fzQHP_eA__eT_4ABiOv1u40APXYTvGiAAAANvDPCSAA5nas0CoQASMKsYHC5xp1MS8h4ho9-dDoMOAPHzoe5vwJABPdr-5PCsIVTwgiIAAtdgIUOzgTQAlIb1ACKq8GEAwaoAYAABxCAACAPwAAOEIAAILCAABgQQAAsEEAALZCAABAwAAAnsIAABTCAACYQQAAyMEAACRCAADYwQAAQMAAAHxCAABAQgAAmMEAAFRCAADIwQAAiMEAALDBAAD4wQAAdEIAAIjBAACowQAAEMEAAOBAAACAQQAAuEEAAEDBAAAAQAAAiMIAADxCAACAwgAA6MEAAEBAAACGQgAAkEEAACBCAAAsQgAAyMEAABhCAAAcQgAAAEAAABDCAACaQgAAkEEAAMpCAABQQQAASMIAACDCAACAvwAAgMAAAJjBAAA8QgAAVMIAAODAAAAwwQAAQEIAALBBAACOwgAAcEEAAJBBAABEwgAAhMIAAIBAAABgwQAAEEEAAIDAAAAIQgAAsEIAAMjBAACEQgAAMEEAAHDCAAD4wQAA2MEAAEBCAACcQgAAHMIAAI5CAACAQAAA-MEAALBBAABAQgAAIMEAAGBBAACAQgAAuEEAAEhCAABsQgAAKMIAAKjCAAD4wQAA4MAAABBCAABAQAAAQEEAAPhBAADkwgAAPEIAAADCAABAQAAA0MEAAFDBAACAPwAAEEEAACzCAAD4QQAAOEIAAFBCAAAIQgAAqEEAAKjBAAAAQQAAsEEAAHDBAABQQgAAQMEAAAzCAAAMwgAA6EEAAIDAAAAgwgAAQMAAAHTCAABAQAAASMIAADxCAACgwAAAwMEAAIBBAADIQQAAmMEAADDBAACAwAAAUEEAAKBAAAAwwgAAQEEAAFxCAACAPwAALMIAAIhCAAAoQgAAsMEAABTCAADAwAAAwEAAAIhBAABgQQAALEIAALjBAAAAQgAAgD8AAIbCAAB0wgAAqMIAAKjBAABkwgAALEIAAAAAAAAEQgAAUEEAABRCAABQQQAAgkIAAMBBAADwQQAA4EAAAADAAAAQQQAAEMIAAGzCAADoQQAAwEEAABBBAACcwgAA0kIAAM7CAABMwgAAEMEAAAAAAAC4QQAAsMEAAILCAADYQQAAXMIAAIBAAAAwQQAAMMEAAODAAAAswgAAcMEAADBCAABEQgAA2MEAAGDCAADIwSAAOBNACUh1UAEqjwIQABqAAgAAFL4AABc_AACGPgAAQDwAAIg9AADiPgAAcL0AADG_AADIvQAAPD4AAJI-AAA8PgAAQDwAALg9AABQPQAAyL0AAK4-AABUvgAArj4AAF0_AABhPwAAQDwAAAE_AAAkvgAA2L0AAKA8AACYvQAAdD4AAKK-AADiPgAAbD4AAPa-AAADPwAAkj4AABy-AACivgAA2r4AAHS-AADuvgAANL4AAAw-AABUvgAAXT8AALK-AAA0vgAALD4AAFw-AAAFvwAAfL4AABm_AABwPQAAhr4AABQ-AADgPAAANL4AABC9AAB_PwAAir4AAJK-AACCvgAAmD0AAIq-AACoPQAAgLsgADgTQAlIfFABKo8CEAEagAIAAEC8AABsPgAAuL0AAEu_AAA0vgAAqD0AAK4-AAAwPQAAqL0AAMg9AAC-PgAARL4AAAy-AABcvgAAQLwAAOA8AAAEvgAAJz8AAES-AADIPQAAMD0AABy-AACgPAAAVL4AAIi9AACYvQAAXL4AANg9AADgvAAA2L0AABw-AABAPAAA4r4AAKA8AAAMPgAA-L0AAEC8AABAPAAAzr4AAGS-AAAkPgAAgDsAAKi9AABwPQAAyL0AAAw-AAB_vwAAJD4AAKI-AAAkvgAAcD0AAAw-AAD4vQAAmD0AAEw-AADIPQAAML0AADQ-AADYPQAA2L0AAIA7AABUvgAA2D0AAKC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Ibz_IrGYP_0","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3230117114181860777"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"622002203"},"691781296113341405":{"videoId":"691781296113341405","docid":"34-10-17-ZC23D2E41C76399E8","description":"Ders videolarını konu başlıklarına göre sıralı olarak izlemek için websitemizi ziyaret edin: https://tr.khanacademy.org Her gün en yeni eğitici içeriklerimizi ilk izleyen olmak için kanalımıza...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3106557/9be2319661e4e4aae7f07d19140e4a2c/564x318_1"},"target":"_self","position":"16","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D9jWPrQCKbTk","linkTemplate":"/video/preview/691781296113341405?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 5 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9jWPrQCKbTk\",\"src\":\"serp\",\"rvb\":\"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_E7kCggQkAYAEKyqLARABGniB-fcHAwT7AO7-AAb4A_8BBwf3APb__wDs-wf6BwAAAPLs__QC_wAA5gD3_wcAAAAA-_AO-P0AABEEAfDyAAAACPkH-PMAAADxCPP4_wEAAPwQD_cCAAAABQn7C_8AAAAECwwT_gAAABQA_vsBAAAA--QK_gAAAAAgAC38mcc7OBNACUhOUAIqcxAAGmDtCgBSEff5uMwL9hUXLTa3wgTeEekK__ES_81C9v_2Q6_Z8F4A-NEV4p0AAABV3sn9NwDNe7LBBAoHLPrEi8LXEn8_HA__Hhjx4Nn05hMCIh_m_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_AABYwgAABEIAAJBBAAAgwQAAqMEAAHBCAABIQgAA8EEAAKBAAABYQgAA0MEAAPhBAACKQgAAFMIAAARCAADIwQAAeMIAAFTCAADwQQAAiMEAAHTCAAAAwQAADMIAADDBAAAwwgAAqEEAAAjCAADQwQAAwMAAAFBCAACAQAAAQEEAAEDAAAA0QgAAQMAAAGzCAADgQQAAQEEAABhCAACIwgAACEIAAABCAACwwQAAAEAAAKjBAADgwAAAEMEAAPBBAADwQQAAEMEAAKhBAAAQwQAAisIAAETCAACUwgAAAMAAAEDCAAA4QgAAPEIAAChCAAAQQgAAqEEAADDBAABsQgAAaEIAAAhCAADoQQAAYEEAABRCAAA8wgAALMIAAJhBAADgwQAAmMEAAGDBAADUQgAAisIAAJDBAAAgQQAAmMEAALBBAACgQAAAmMIAAJDBAADAwQAAYMEAAKhBAAAAwAAAIMEAABzCAACgwAAAiEIAAMBAAAAYwgAAiMEAAJDBIAA4E0AJSHVQASqPAhAAGoACAADovQAACT8AAI4-AABEvgAAfD4AACs_AABwvQAAU78AABy-AAAkPgAArj4AAMI-AAA8PgAAoLwAAOi9AAAQvQAAhj4AAHS-AADqPgAAfT8AAHU_AAAQvQAAOz8AANi9AAA8vgAAoDwAAHC9AABwPQAAbL4AAAc_AACWPgAADb8AAAs_AACIvQAAyL0AAAO_AAAVvwAA-L0AADO_AACovQAA6D0AADS-AAB_PwAAtr4AAAe_AACqPgAAyj4AADu_AAB8vgAAFb8AANi9AADOvgAA6D0AADA9AAAkvgAAEL0AAHc_AABMvgAArr4AAKq-AADgPAAA5r4AAEA8AACIvSAAOBNACUh8UAEqjwIQARqAAgAA4LwAAGQ-AACgvAAAR78AABS-AADgPAAAtj4AAIA7AACIvQAAmD0AAMY-AABEvgAAJL4AAGy-AAD4vQAAcD0AACS-AAAzPwAAZL4AAOA8AADYPQAALL4AAKC8AABkvgAAuL0AAHC9AAB0vgAABD4AAOC8AABAvAAAZD4AABA9AAALvwAAMD0AADQ-AADovQAAqD0AAKi9AAD6vgAAfL4AAEw-AABAvAAAyL0AAMg9AAD4vQAADD4AAH-_AAAMPgAAlj4AAES-AAAwPQAAfD4AAMi9AAAQPQAAjj4AAKg9AABwvQAAdD4AANg9AADIvQAAgLsAAEy-AADoPQAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=9jWPrQCKbTk","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["691781296113341405"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"3959570492770357876":{"videoId":"3959570492770357876","docid":"34-0-4-Z92254FABB88E31B8","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. ve reklamsız olarak ulaşabilirsiniz.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2746327/6c20e1ee5f44d7638501b49fd2574059/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/71nfDAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dds5fqTwONVc","linkTemplate":"/video/preview/3959570492770357876?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stokes Teoreminin İspatı 7 (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ds5fqTwONVc\",\"src\":\"serp\",\"rvb\":\"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-AYLAQAA7_4ABfgD_wELAO8B9v__AO38B_oHAAAA8-3_9AH_AADnAPf_BwAAAAT7_Av__QEAFv0M9gQAAAAP_Qny_QAAAPIH9Pj_AQAA_A8O9wIAAAAIBAIKAAAAAAoICggAAAAAEwD-_AEAAAD85Qr-AAAAACAALbgv0zs4E0AJSE5QAiqEAhAAGvABfw0n_9T0nQGCIt0AyTDbAbcmGAD8QMcAketBAqwE2gAT6sgAvQLV_yP28gDm--b_LRDd_7za__87Ng__W-8I__ZJxwEA9Q0CP-gqAP4h7P3nQhP97QIRA9rWw_7mB_oBFg0GACX88QYN5agLE_5NAQ0DCgE12xMCxBgQA9MmG__19rj9NwHo_vgJAgPnG0gBE-TaAQfyLPv-F-cACsoN-_gh5_wZ8tX_WQ_d_vXSBO_93xsB490NBxspK_74FesFFfYkDMwD9_8DUx0BSdIA9vIA5QPrI_YQGdIX-l33-_a76fP59h34AOc65voJHvYSIAAt3JTvOjgTQAlIYVACKs8HEAAawAenIL--LZPGPCkQLL1CpPC8cUQtPQnmw7xfJX-9FK8yPBmikrszMhg-EDRwvXw9xDznRqK96wAIu1p_y7wUlEI-RkUcvXPoALx1dPy9LxOaPQsCEL3KopW95kcyPPF-AT0pmLy92Nc6vJH64Txvmyk9cbtBvc7QLjzJV8K85gwAPULuAr28fMY8bg4fvCINeL2F2qW82TgHveBWsLxGWMk9vH6MvUU7ODv9gLw95YkWPYm3Cb2l4jq9wSoovFepSr0v4tY8ztyoPTDHoTycWDa9LZ41vZDj4jz-BWe9wENsPTyZB7v6XuM997NTPXdqSzvwbmA9W1U7vVbYZ7xO8rO93syovEbycDwnkn49fPmIPeB8jzyu9Cq-bcXePYrUC7sefIe9kwORPCfgsrwPv4Y975ysPcNVlDzUhfM8utJXPDOJQboxLUW9JGC2O_Swhjzs-gU92Znivaurp7xOjsw9HnohPT4u4Lthkbo8nVmcPHVQ8DsK6uW81wRHPcUhFzxd614782mfvbwYMTsFI6U91gI7vknlmjoMVhy-wt0JvpvE5rrRx987M92rPJdDAbyCG-k8ev_fvZQxHzwY7MY8OzO2vaDhLDtVOD29HRYTu3_gprshhme9OmgEPF2MnrsiTsy81P9oPYv1srqcZFA8j32KPS7LF7yF6FU9NXCxvSLHGTqccoA9ajxHPG06AryLEJg9EZ_FPP5M8rlSXxs9WWGEvG15WDnEhIe9gscXPbMpyLjFE0u9-I3KvT_tR7n-DD8-ySKtvU2wj7h0lAi9GmlOPE9RmjrBXay84CTVupnT5DhtVxg-soPqvQy7Yje-xeA7rFMVvqaMyTnovtw9rpGuPA8bHDkdYJy8vDuSPYgxsLfMIMO91A0EvghThTlm_rw9xT-mupMQ-7gWjbA9m5KHvJ58mTh_g7a991V-PayI87j5py88YiCZvL2Q7birs5q8TftBPFirQ7cmckG8CjEnvpQDxDkRHsi7kX1QPe8djDZk5NE8xQ-EPd6i_reH0ma7K909PSje_TexE4M8trGzvRWp6TiMcwq9FuofPU_5ijhlU869wuioPP4y6DfaQkY8-PpavSjjGbi-MDk9o0uuPPCORjhKc1A8WeoPPVKYhjjB4ys-3KVovAeJdLnNx3q90xXsveab-LhvRWe9tBabvU5w-LcdPoQ8kWHVPbj3vLdTZU48e1yVvV51vLfK9HA9IuErPvHLijhxfGO9-iUCPqmBLLmnJQa-zxmLu_SONDaBEWo8LfghvORr_jcgADgTQAlIbVABKnMQABpg9AUAOgIN3sXbGusVC0ghsMEW4AraFP_dBwDfRub39ymsyf0-APTtO8ycAAAASd-_7xMA0H-32CoXAA8DlYzA6ixuIihG6fYrC93bKuMXCDot4gcKACvhkwVr8sIDSBMYIAAt9a4MOzgTQAlIb1ACKq8GEAwaoAYAACBCAACAPwAADEIAAITCAADQwQAA4EAAAK5CAAAEwgAARMIAAEDBAAAYQgAACMIAAADBAACAPwAAYMEAAEBBAAC4QgAAuMEAAHRCAABAwQAAbMIAACDCAABowgAAUEEAAEzCAAAgwQAA2MEAAIA_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_AABsQgAAiMEAANBBAACgwQAAHEIAACBBAAB4wgAAUEEAAKhBAADQQQAALMIAAIxCAABkQgAAYMEAABBBAACIwQAAUEEAABDBAAAsQgAAHEIAAIjBAACAQAAAQMEAAJDCAACowQAASMIAAIDBAAB0wgAA8EEAAKhBAAAMQgAAPEIAANBBAACgwQAAeEIAAHRCAAAwwQAAcEEAABBBAABgQgAAWMIAAAjCAAAQQgAAsMEAAADBAAAgwQAA_kIAAKLCAAAMwgAAIEEAALjBAAAgQQAAYEEAAGTCAAAQQQAARMIAAOBAAADQQQAAAEEAAOBAAACAwQAADMIAAJxCAADAwAAAoMAAAIDBAACgwSAAOBNACUh1UAEqjwIQABqAAgAAbL4AAB8_AACiPgAAoDwAADC9AAD6PgAAQDwAAC-_AABsvgAA6D0AAEw-AACaPgAAQLwAABQ-AAAwPQAARL4AAM4-AABUvgAACz8AAH8_AABtPwAAgLsAABs_AACIvQAAmL0AAKC8AACavgAAJD4AAJi9AADmPgAALD4AANq-AAAvPwAAJD4AALi9AACivgAAqr4AAEy-AADuvgAA6L0AAHw-AAC4PQAAHz8AAL6-AADSvgAALD4AAJI-AAAlvwAAVL4AAAu_AAAQPQAALL4AANg9AABwPQAAEL0AABA9AABfPwAABL4AAHS-AAC4vQAAyL0AAI6-AADYPQAAVD4gADgTQAlIfFABKo8CEAEagAIAAEC8AAA0PgAAiL0AAEO_AAA0vgAAmD0AAKY-AACoPQAA2L0AABQ-AACuPgAAHL4AACS-AAA8vgAAoLwAAFA9AACIvQAAJz8AAFS-AADoPQAAUD0AAPi9AACAuwAAZL4AAFC9AABQvQAAVL4AAIg9AACIvQAAgDsAAAw-AABAPAAA0r4AAFC9AAAUPgAAcL0AAFC9AADgPAAAxr4AAES-AAA0PgAAoLwAAFC9AABQPQAAmL0AAAQ-AAB_vwAAJD4AAIo-AABcvgAAyD0AABw-AAC4vQAAoDwAAGw-AACYPQAAoLwAABw-AADIPQAAuL0AAIA7AABMvgAAuD0AAIC7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ds5fqTwONVc","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3959570492770357876"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"610146836"},"11589222920405909745":{"videoId":"11589222920405909745","docid":"34-7-3-Z06247D33DE64270E","description":"Week 4 of the course \"Complex Analysis\" is dedicated to to multivalued functions and regular branches. The focus is put on practice with power type and log-type composite functions.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2891573/0989282b00dbd1a073567d464f4943d8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/eZoAIAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DW9BgXISsxXY","linkTemplate":"/video/preview/11589222920405909745?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"[CA/Week 4] 2. Extraction of the regular branch of the power type function [theory]","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=W9BgXISsxXY\",\"src\":\"serp\",\"rvb\":\"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-gT_AQb1APr4_v4A6_0N-Pn_AQD-CAIGBgEAAAUPA_cJAAAA_v0L_fP-AQAS_-8HAgAAAP72A_gCAAAABgz6_f4BAAD1_gMFAwAAAAfvBg3_AAAACQII_wIAAAANBxL8AAAAABT8AAUAAQAAIAAtmkzUOzgTQAlITlACKoQCEAAa8AFeBgYBvwoD_RPw8gDmGAgBgQUL_ykO1QCyAwoAz_DoAAMY6ADE3AwABxzsANsLHQD9-tr_GusN_xb5FQATD-wAIvXrADH2GwEuAP0A__bc_-ULFf_6-x4AMur8AhkS-P4YAwP88vHwAebo9AMm3x0B9-gAAQoXDwEMDR8B_QgABOoC7QAC-yD_2Qn__ub8DvsA-AIF-RT4-ubYBAL-DuMDA_byAR8i8wEcCQUK9fkK-eMSCAIaC_r6-g4D_QMIDPrxAQX8CeAQAPgb_Af76gH4_PIKAgDQBQ0DAu4N_-8G9u0FBAHi__kE7vQE_vj8BQQgAC1uJ0g7OBNACUhhUAIqcxAAGmBHCAA38UvW8wAE6ebhthv03SrkBsII_xbJABUY1gUeFfmtCRz_GNH5CqkAAADuFNoV8gACciba4vbP9eL-owkREX_4OzKt1SYFyMwXKu0K6e_oJv8AAvmtP03f1C06WQIgAC3cTB47OBNACUhvUAIqrwYQDBqgBgAANEIAAOBAAABoQgAAhsIAAOhBAAAYQgAAskIAAHBBAABowgAAHMIAADjCAABgwQAAQMEAAGDCAABgwQAAgMEAANhBAAAcwgAAiMEAADDCAAAAwAAAOMIAACDCAACWQgAA-MEAAATCAAB8wgAA-MEAAKpCAABUQgAAAEIAAKhBAACAQQAAgD8AAKDCAABEwgAA2EEAAFhCAAAAQQAAgEEAABDBAAAwQgAAQEAAAMDAAADwQQAAyMEAAIjBAABAwAAAaEIAAADBAAC4wgAA2MEAANBBAAAQQgAAkMEAAJBBAACGwgAAwMAAAMBAAAAMQgAAJEIAAIDBAAAowgAAhMIAANjBAABQwgAAAEEAAFDCAACAwQAAQMIAAKBCAACAQQAAXMIAAFRCAAB4QgAAosIAAMLCAADQwQAAAEAAABjCAAC0wgAABEIAAIC_AAAowgAAwEEAAARCAADQwQAAEEEAADxCAABAQAAAyEEAAEBAAADYwQAAMMEAAODBAACKwgAAgEAAAHDBAAAEQgAAGEIAALrCAADYQQAAiEIAAAzCAAB4wgAAgMAAADBBAACeQgAAOMIAAJJCAAAwQQAAyMEAAOBBAAAEwgAAEEIAAK5CAACAvwAAuEEAAJjBAADAwgAAHMIAAKDAAAD4wQAAAMIAADBBAADYwQAAyEEAAODBAABQwQAAAAAAAABAAAB4wgAA2EEAAOBAAAC4QQAAAEIAAIDAAADowQAAcMEAAAjCAADgQQAAgEEAAEDAAACAwQAA-EEAADDBAAB4wgAAAMEAADDBAACIwQAAgD8AAADAAADAQQAAsEEAAODAAABUwgAApsIAAGBBAABAwAAAoEEAADDCAABIQgAAAMEAABxCAAC4QQAAQMAAABRCAACGQgAAdEIAAADCAAAIwgAAoEEAAARCAACQQQAACMIAAEBAAABQQQAA8MEAADRCAACYQgAAPMIAAHjCAAA0wgAAlMIAADBCAAA8wgAASMIAACxCAABAQAAAgD8AAADAAADAQAAAmEEAABBCAAAwwQAA4EAAAADAAADowQAAAMEAAJDBIAA4E0AJSHVQASqPAhAAGoACAAAwvQAA2L0AABy-AAC2PgAAPD4AAJY-AADgPAAAWb8AAFy-AABAvAAADL4AAJi9AAB0PgAAyj4AAOq-AACavgAAkj4AALg9AACaPgAAST8AAHU_AAAEPgAA3j4AAHQ-AABAPAAAqj4AALY-AAA0vgAAND4AABS-AAB8PgAA-D0AAOC8AABcPgAA4DwAABC9AACgvAAAwr4AABu_AABEvgAAQLwAAIg9AAC-PgAAQLwAAHC9AADgvAAAUL0AAFy-AACAuwAAgr4AAHA9AABcvgAAzj4AADE_AACiPgAAuL0AAH8_AABwPQAA6r4AACS-AAAQvQAAcD0AANi9AACaviAAOBNACUh8UAEqjwIQARqAAgAAEL0AANi9AACgPAAAU78AAEC8AACovQAA6D0AAOi9AACCvgAAJD4AAAQ-AABcvgAAQLwAAJK-AACgPAAAML0AAEC8AABRPwAAXD4AAHQ-AABwvQAAML0AAFA9AACYvQAAqL0AABS-AAAQPQAAoDwAAEw-AAAQPQAAmD0AABA9AAB0vgAAHL4AAOA8AACIvQAAXD4AANg9AADWvgAAHL4AAKA8AAC4PQAA6L0AABA9AABQvQAApj4AAH-_AAB0vgAAiD0AAAS-AACYPQAA2L0AADA9AAC4vQAAcD0AAEA8AABQPQAAZD4AAAQ-AADgvAAAPD4AAKA8AAAUvgAAPL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=W9BgXISsxXY","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11589222920405909745"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"4765607596862332480":{"videoId":"4765607596862332480","docid":"34-7-10-Z0D466B471A0641D7","description":"Her gün en yeni eğitim videolarını ilk izleyen olmak için kanalımıza abone olun. Daha fazlası ve ders videolarını sıralı izlemek için: https://www.khanacademy.org.tr Matematikten sanat tarihine...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1016914/43c9e2a6287c63fcb06bab1e253939d7/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/DQWywQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=videoid:4765607596862332480","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersidir. Eğitmen, Stokes teoremi kapsamında sınır eğrisi için doğru yönlendirme yöntemlerini anlatmaktadır.","Videoda, sınır eğrisi için iki farklı yönlendirme yöntemi detaylı olarak açıklanmaktadır. İlk yöntemde, normal vektörün yönüne göre bir \"adam\" modeli kullanılarak sınırın hangi yönde kat edilmesi gerektiği gösterilmektedir. İkinci yöntemde ise, yüzeyin bir şişe kapağı olarak hayal edilmesi ve kapağı açma/kapama hareketiyle sınırın doğru yönlendirilmesi anlatılmaktadır. Bu yöntemler özellikle karmaşık şekiller ve yönlendirmeler için faydalı olmaktadır."]},"endTime":259,"title":"Stokes Teoremi ve Yönlendirme Yöntemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Stokes Teoremi ve Yönlendirme","list":{"type":"unordered","items":["Bu videoda Stokes teoremi üzerine konuşulacak ve sınır eğrisi için iki farklı yönlendirme yöntemi anlatılacak.","Sınır eğrisi için iki farklı yönlendirme yapılabilir, normal vektörü içinde ise yukarıya veya aşağıya doğru iki farklı yönlendirme vardır.","Stokes teoreminin çalışması için yönlendirmelerden birinin ya da diğerinin negatifini seçmemek gerekir."]},"beginTime":0,"endTime":49,"href":"/video/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=0&ask_summarization=1"},{"index":1,"title":"İlk Yönlendirme Yöntemi","list":{"type":"unordered","items":["İlk yöntemde, normal vektörün kafasıyla aynı yönde olan bir adamın yüzeyin sınırını geçmesi varsayılır.","Eğer normal vektörün yönü sol tarafta ise, sınırı geçmek için adamın yüzeyi soluna aldığı yönde yürümesi gerekir.","Eğer normal vektörün yönü ters tarafta ise, sınırı farklı bir yönde kat etmek gerekir."]},"beginTime":49,"endTime":168,"href":"/video/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=49&ask_summarization=1"},{"index":2,"title":"İkinci Yönlendirme Yöntemi","list":{"type":"unordered","items":["İkinci yöntemde, yüzeyin bir şişe kapağı olduğu hayal edilir.","Normal vektör, kapağın hareket edeceği yönü, kapağı çevireceğimiz yön ise sınırı kat edeceğimiz yönü temsil eder.","Bu yönlendirmeler özellikle şekiller ve yönlendirmeleri karmaşıklaşmaya başladığında çok işe yarar."]},"beginTime":168,"endTime":248,"href":"/video/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=168&ask_summarization=1"}],"linkTemplate":"/video/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Yönelim ve Stokes Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","related_orig_text":"Stokes-Line","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Stokes-Line\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Wel5_7psZy4\",\"src\":\"serp\",\"rvb\":\"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_gEB-_T89v38AOr7CPkI_wAA8-0L-_0AAADU-_v7_gABABH6_Q31_wAAJA0A_fAA_wAI-Aj48gAAAPYS7AH_AQAABB4I-gIAAAAR_gEJAAAAAAoDCv4DAAAAEPkHBQEAAAAL5wsHAAEAACAALSI3tjs4E0AJSE5QAiqEAhAAGvABfzQQAbPq0f7H9tQA1y-_Acr8KAAAE_kAxQQ8AfXZAwEp-8sAyAHc_-j8GgKf_vcB-Qjn__z36gE7_QT_HeQuAB1SDwAR8f4BRgMX__AE2P_rNxD-GfcQAAv1-P_D_OT9_wsc_DL_7P_xveIB7g4yAgfiBgIkBQ8JyuUCAt4HJf8K5en_5N4a__oIAgPB9gcFDP3VACc48_7qJv4FHNEYAtHz_PwU9dwAIN3fAAYYDP0A3Pf55hvlC8zxIAgFVPL5Bg4GAc_56_QkKwv3JPTm-9MR_ADR_AAF9AXs_iPK__z-9QECwjoL-Onu9_oXEewKIAAtrMAPOzgTQAlIYVACKs8HEAAawAfpfsa-fL4BvSiUKjxayK08M9xAPZ5ilbz4gbW8A6vPPGkU97z90qc9CbIUvUv9oTyKubq9ECwdvS1UyDwUlEI-RkUcvXPoALzZQ0u-Q5J2Oyl_gr2_a6u8J7IBPCld-jz05SC9RbJsPJG92jsdZp4885cRvbNqhjycOQE89suOuwKOUru8fMY8bg4fvCINeL1jjJm8HU1cuw_yVbwvY4Q9u8oEve3UnDx7eoY9Kke3PAQmpjyx4em9NFwuvawSdjyDka09sPGPPQxwJj3xJZm9h9T-vPVR4Txw3q69hEerPctRWzwPe4Y97LmRPTmhK738w9Y9ZoCPO_vyF7w-GW29bzNQPbBjkjzA0Wk6kiQYPso0uzoY0gG-SYOrPZYmJbykA6s7xnkOPelHQ7waTIg9wAhavUypiTvz6cy8XQxvvapBPbyPwa-97mV2vSRGDzxfcJc8fTOcO7LOgrwYfDo-wRSaPSt4TzpCTd87YceavAegLDxdp1E9VZedPE2DojxaDOC7o1iuvGDHoLvfZsY9ObXzvYcfGDxXezi9L4f9vSqgZjrg6Z-8Oji9PeblMLxO8M09ZjPnvf9XADxxY4m9zBG9vSy1JDvH2fS91a6JOxkRVrwsvTG9-ow1Pe0Irzr1xXS9s1-YuxNPLLwkHEQ9GpgJulvk7Tm40gY9CFbVvT66Erpo_q09eahyPc0YCztbeUk9Mi5mPMlaP7ugmRK8lSaqvZYnb7uCC2g8Hci6vPPEGjzZQhC-gPzbu8DIljnHZxI-rqDpvZAJtLlYBFq9jfS9PB8R4TkkMoK97xsfvHpS97f13Ug921ZoOXiYBLmtL7c6_RLxvbwjiTnkoBQ-J3gZvfcHA7lyE7m7Eo4PPSa3SrqpBBq97wdXvX_mRbpVomw8IqjavcuBU7fIdI08x5s8vcSgkLiBvqE79Q_iPA4lKTmFsYm7kvr8OzqMQrg0Jok9RED0O0DWCjj9Wm29WVOEvWFGnzgp23a85-yzPSefgDcajgQ7IUL3POWrPbgMTDg8g62IPOEsQrk03Ns85l0lvgac57gr2YG9-wfxPbzwHDmcenO910vTPZ-NlzgUD168M54SvRyWN7diL5Q9rWkevD913LWWSFg8rkjMPB9HUDitp_Y9s-qYvHs7OrlcSQG9yt7SvRciBLnOcjS8XQ_Lvahwm7dAkIK9prxxPaB-9bYNEkc8dHz0vVZYWbirD8o9pf6VPcGUmjeYk2U7gAvSPZjkD7noVbO9FiTsPM24ITgwB-o7twkHvqealbcgADgTQAlIbVABKnMQABpgE_cAQgoH9fLuHBYM9CFHm9fe3xW7DP_38f-0Ne0EJRPC3_BGAP3fIMuZAAAARfft8BoAwX_A3SgT5vjun6jH8xl0NAQxzBUo89vdJREiDhpDzAz4ABXCrC9yLaoBTO0YIAAtiQUPOzgTQAlIb1ACKq8GEAwaoAYAAAhCAACAwQAAdEIAABjCAABAwQAAKEIAAJZCAACwwQAAksIAAETCAAAUQgAAEMIAAODAAAAYwgAAwMEAAIhBAAA0QgAADEIAAABBAAAkwgAAMEEAAMDBAAAQwQAAVEIAAKjBAACowQAATMIAAIBAAAAAAAAAmEEAADTCAACgwAAAkMEAAHhCAABEwgAAcMIAABhCAADOQgAAoEAAAJZCAADAwAAAQMEAACRCAACoQQAAcMEAAABAAAAoQgAAcEEAAMRCAAAcwgAALMIAAOjBAAC4wQAAAMIAAJDBAADIwQAAaMIAAIA_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-AAB8PgAA2D0AAFw-AACqPgAARL4AABu_AAC4vQAAiD0AAHQ-AAA0PgAAND4AAEw-AAAUPgAAdL4AAHw-AABcvgAA1j4AAHk_AABHPwAAqD0AAP4-AABAvAAAQLwAAKA8AAAcvgAAFD4AAKA8AAABPwAAZD4AAAu_AADmPgAARD4AAAS-AADovQAAyr4AAJK-AAAHvwAALL4AAHC9AADoPQAAJT8AAAe_AABAvAAAqD0AALY-AAArvwAA2L0AAEG_AACavgAAlr4AACQ-AADgPAAAiL0AAOC8AAB_PwAAdL4AAOi9AACAOwAAhr4AAJa-AAAwvQAAND4gADgTQAlIfFABKo8CEAEagAIAAJi9AACOPgAAML0AAEe_AAAsvgAABD4AAAU_AACAuwAAgDsAAMg9AAC2PgAATL4AAAy-AAB0vgAAML0AAFA9AADYvQAAHz8AAI6-AAAkPgAAqD0AAFS-AACgvAAAVL4AAIC7AACYvQAAdL4AABw-AAD4vQAAHL4AABw-AACAuwAAsr4AAEA8AABMPgAANL4AAFC9AADgPAAAvr4AAAS-AACOPgAAUL0AABA9AAAQvQAABL4AAHA9AAB_vwAATD4AAGQ-AAD4vQAA6D0AAII-AAAQvQAAoDwAADw-AACoPQAAyL0AADQ-AACYPQAADL4AAHC9AABEvgAAFD4AAAw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Wel5_7psZy4","parent-reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4765607596862332480"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"videoContentId":"3802708561"}},"dups":{"12639422227677858634":{"videoId":"12639422227677858634","title":"How are the \u0007[Stokes\u0007] \u0007[Lines\u0007] Formed? What are its Special Features? | Physics Animated Video","cleanTitle":"How are the Stokes Lines Formed? What are its Special Features? | Physics Animated Video","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=sKdKcPpbh3U","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/sKdKcPpbh3U?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":"d3d3LnlvdXR1YmUuY29tO1VDWHZLaXdXVnE1bXZyZklDU2Z6bXl1Zw==","name":"Physics4students","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics4students","origUrl":"http://www.youtube.com/@physics4students419","a11yText":"Physics4students. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":103,"text":"1:43","a11yText":"Süre 1 dakika 43 saniye","shortText":"1 dk."},"views":{"text":"1bin","a11yText":"1 bin izleme"},"date":"30 nis 2017","modifyTime":1493510400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/sKdKcPpbh3U?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=sKdKcPpbh3U","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":103},"parentClipId":"12639422227677858634","href":"/preview/12639422227677858634?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/12639422227677858634?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8037403058592199214":{"videoId":"8037403058592199214","title":"\u0007[Stokes\u0007] Anti-\u0007[Stokes\u0007] and Rayleigh \u0007[Lines\u0007] | Video Tutorials","cleanTitle":"Stokes Anti-Stokes and Rayleigh Lines | Video Tutorials","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=22gg9wMy8o0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/22gg9wMy8o0?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":"d3d3LnlvdXR1YmUuY29tO1VDWHZLaXdXVnE1bXZyZklDU2Z6bXl1Zw==","name":"Physics4students","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Physics4students","origUrl":"http://www.youtube.com/@physics4students419","a11yText":"Physics4students. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":155,"text":"2:35","a11yText":"Süre 2 dakika 35 saniye","shortText":"2 dk."},"views":{"text":"26,7bin","a11yText":"26,7 bin izleme"},"date":"29 nis 2017","modifyTime":1493424000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/22gg9wMy8o0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=22gg9wMy8o0","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":155},"parentClipId":"8037403058592199214","href":"/preview/8037403058592199214?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/8037403058592199214?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8996777880053689647":{"videoId":"8996777880053689647","title":"Application of \u0007[Stokes\u0007] Theorem bounded by circle and \u0007[line\u0007]/ Using \u0007[Stokes\u0007] Theorem Problem","cleanTitle":"Application of Stokes Theorem bounded by circle and line/ Using Stokes Theorem Problem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vGCFt3X42q4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vGCFt3X42q4?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":"d3d3LnlvdXR1YmUuY29tO1VDSWlldDhXbmI1WnplbDlMQncyTThCQQ==","name":"TEAM Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=TEAM+Education","origUrl":"http://www.youtube.com/@TEAMEDUCATIONMATHEMATICS","a11yText":"TEAM Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":272,"text":"4:32","a11yText":"Süre 4 dakika 32 saniye","shortText":"4 dk."},"views":{"text":"21bin","a11yText":"21 bin izleme"},"date":"29 nis 2020","modifyTime":1588118400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vGCFt3X42q4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vGCFt3X42q4","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":272},"parentClipId":"8996777880053689647","href":"/preview/8996777880053689647?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/8996777880053689647?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"203351473735633517":{"videoId":"203351473735633517","title":"Mastering the Perfect Dotted \u0007[Line\u0007]: \u0007[Stokes\u0007] Twins' Art Hack!"","cleanTitle":"Mastering the Perfect Dotted Line: Stokes Twins' Art Hack!"","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/mBwE8yzkr0c","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/mBwE8yzkr0c?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":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQE11bHRpdGFsZW50NTY2","name":"Multi Talent","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Multi+Talent","origUrl":"http://www.youtube.com/@Multitalent566","a11yText":"Multi Talent. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":15,"text":"00:15","a11yText":"Süre 15 saniye","shortText":""},"views":{"text":"172,5bin","a11yText":"172,5 bin izleme"},"date":"29 haz 2024","modifyTime":1719619200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/mBwE8yzkr0c?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=mBwE8yzkr0c","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":15},"parentClipId":"203351473735633517","href":"/preview/203351473735633517?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/203351473735633517?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13242410516477656623":{"videoId":"13242410516477656623","title":"Classical theory of raman effect || stokes and anti \u0007[stokes\u0007] \u0007[lines\u0007] | atomic and molecular phys...","cleanTitle":"Classical theory of raman effect || stokes and anti stokes lines | atomic and molecular physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=VPeLPMqHqZU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/VPeLPMqHqZU?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":"d3d3LnlvdXR1YmUuY29tO1VDcS1IYnRYSjF6VTBud0F2ekJKdTlnUQ==","name":"Dr. Meenakshi","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Dr.+Meenakshi","origUrl":"http://www.youtube.com/@physicsSpark","a11yText":"Dr. Meenakshi. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1176,"text":"19:36","a11yText":"Süre 19 dakika 36 saniye","shortText":"19 dk."},"date":"8 haz 2021","modifyTime":1623121208000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/VPeLPMqHqZU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=VPeLPMqHqZU","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":1176},"parentClipId":"13242410516477656623","href":"/preview/13242410516477656623?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/13242410516477656623?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1757977937897466759":{"videoId":"1757977937897466759","title":"\u0007[Stokes\u0007] Teoremi İçin Gerekli Koşullar (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoremi İçin Gerekli Koşullar (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/v/rBV7CY8mSlA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rBV7CY8mSlA?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":244,"text":"4:04","a11yText":"Süre 4 dakika 4 saniye","shortText":"4 dk."},"views":{"text":"8,8bin","a11yText":"8,8 bin izleme"},"date":"22 ağu 2013","modifyTime":1377129600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rBV7CY8mSlA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rBV7CY8mSlA","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":244},"parentClipId":"1757977937897466759","href":"/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/1757977937897466759?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4217402395670227428":{"videoId":"4217402395670227428","title":"\u0007[Stokes\u0007] Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/WNNzrfppY0k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WNNzrfppY0k?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":735,"text":"12:15","a11yText":"Süre 12 dakika 15 saniye","shortText":"12 dk."},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"19 tem 2022","modifyTime":1658188800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/WNNzrfppY0k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WNNzrfppY0k","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":735},"parentClipId":"4217402395670227428","href":"/preview/4217402395670227428?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/4217402395670227428?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14868598073562414303":{"videoId":"14868598073562414303","title":"\u0007[Stokes\u0007] Teoremi Örneği 1 (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoremi Örneği 1 (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/v/bgh7LMQXBA8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/bgh7LMQXBA8?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":158,"text":"2:38","a11yText":"Süre 2 dakika 38 saniye","shortText":"2 dk."},"views":{"text":"9,7bin","a11yText":"9,7 bin izleme"},"date":"22 eyl 2015","modifyTime":1442880000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/bgh7LMQXBA8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=bgh7LMQXBA8","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":158},"parentClipId":"14868598073562414303","href":"/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/14868598073562414303?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10907399425290175862":{"videoId":"10907399425290175862","title":"\u0007[Stokes\u0007] Teoremi Örneği 3 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoremi Örneği 3 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/I73vXyaogds","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/I73vXyaogds?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":516,"text":"8:36","a11yText":"Süre 8 dakika 36 saniye","shortText":"8 dk."},"date":"28 haz 2022","modifyTime":1656374400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/I73vXyaogds?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=I73vXyaogds","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":516},"parentClipId":"10907399425290175862","href":"/preview/10907399425290175862?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/10907399425290175862?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7564722095397625674":{"videoId":"7564722095397625674","title":"\u0007[Stokes\u0007] Teoreminin İspatı 6 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 6 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/vR8lOaWEt-Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vR8lOaWEt-Q?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":296,"text":"4:56","a11yText":"Süre 4 dakika 56 saniye","shortText":"4 dk."},"date":"26 mar 2024","modifyTime":1711411200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vR8lOaWEt-Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vR8lOaWEt-Q","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":296},"parentClipId":"7564722095397625674","href":"/preview/7564722095397625674?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/7564722095397625674?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10678232737944650391":{"videoId":"10678232737944650391","title":"\u0007[Stokes\u0007] Teoreminin İspatı 2 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 2 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/_hdUCxN3m3Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_hdUCxN3m3Q?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":484,"text":"8:04","a11yText":"Süre 8 dakika 4 saniye","shortText":"8 dk."},"date":"19 tem 2022","modifyTime":1658188800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_hdUCxN3m3Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_hdUCxN3m3Q","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":484},"parentClipId":"10678232737944650391","href":"/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/10678232737944650391?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4311501714953088424":{"videoId":"4311501714953088424","title":"\u0007[Stokes\u0007] Teoremi Örneği 4 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoremi Örneği 4 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/3mVxFektOeY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/3mVxFektOeY?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":400,"text":"6:40","a11yText":"Süre 6 dakika 40 saniye","shortText":"6 dk."},"date":"6 tem 2022","modifyTime":1657095521000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/3mVxFektOeY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=3mVxFektOeY","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":400},"parentClipId":"4311501714953088424","href":"/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/4311501714953088424?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7210000648454495677":{"videoId":"7210000648454495677","title":"\u0007[Stokes\u0007] Teoreminin İspatı 3 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 3 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/_FGIZ0PGPCU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_FGIZ0PGPCU?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":259,"text":"4:19","a11yText":"Süre 4 dakika 19 saniye","shortText":"4 dk."},"date":"12 haz 2024","modifyTime":1718150400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_FGIZ0PGPCU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_FGIZ0PGPCU","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":259},"parentClipId":"7210000648454495677","href":"/preview/7210000648454495677?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/7210000648454495677?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3230117114181860777":{"videoId":"3230117114181860777","title":"\u0007[Stokes\u0007] Teoreminin İspatı 1 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 1 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/Ibz_IrGYP_0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Ibz_IrGYP_0?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":325,"text":"5:25","a11yText":"Süre 5 dakika 25 saniye","shortText":"5 dk."},"date":"19 tem 2022","modifyTime":1658217298000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Ibz_IrGYP_0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Ibz_IrGYP_0","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":325},"parentClipId":"3230117114181860777","href":"/preview/3230117114181860777?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/3230117114181860777?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"691781296113341405":{"videoId":"691781296113341405","title":"\u0007[Stokes\u0007] Teoreminin İspatı 5 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 5 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/9jWPrQCKbTk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9jWPrQCKbTk?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":313,"text":"5:13","a11yText":"Süre 5 dakika 13 saniye","shortText":"5 dk."},"date":"18 tem 2024","modifyTime":1721260800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/9jWPrQCKbTk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9jWPrQCKbTk","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":313},"parentClipId":"691781296113341405","href":"/preview/691781296113341405?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/691781296113341405?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3959570492770357876":{"videoId":"3959570492770357876","title":"\u0007[Stokes\u0007] Teoreminin İspatı 7 (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Stokes Teoreminin İspatı 7 (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/live/ds5fqTwONVc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ds5fqTwONVc?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":655,"text":"10:55","a11yText":"Süre 10 dakika 55 saniye","shortText":"10 dk."},"date":"27 tem 2022","modifyTime":1658880000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ds5fqTwONVc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ds5fqTwONVc","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":655},"parentClipId":"3959570492770357876","href":"/preview/3959570492770357876?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/3959570492770357876?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11589222920405909745":{"videoId":"11589222920405909745","title":"[CA/Week 4] 2. Extraction of the regular branch of the power type function [theory]","cleanTitle":"[CA/Week 4] 2. Extraction of the regular branch of the power type function [theory]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=W9BgXISsxXY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/W9BgXISsxXY?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":"d3d3LnlvdXR1YmUuY29tO1VDY09QenFldUI4R1R0MXpmaDZKS2JTQQ==","name":"Stokes-Line","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Stokes-Line","origUrl":"http://www.youtube.com/@StokesLine","a11yText":"Stokes-Line. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":583,"text":"9:43","a11yText":"Süre 9 dakika 43 saniye","shortText":"9 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"31 mayıs 2020","modifyTime":1590883200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/W9BgXISsxXY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=W9BgXISsxXY","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":583},"parentClipId":"11589222920405909745","href":"/preview/11589222920405909745?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/11589222920405909745?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4765607596862332480":{"videoId":"4765607596862332480","title":"Yönelim ve \u0007[Stokes\u0007] Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","cleanTitle":"Yönelim ve Stokes Teoremi (Matematik) (Çok Değişkenli Kalkülüs)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Wel5_7psZy4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Wel5_7psZy4?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":"d3d3LnlvdXR1YmUuY29tO1VDOGhneDVoQ2l5RG1PM1VlQmw5NV8xUQ==","name":"KhanAcademyTurkce","isVerified":true,"subscribersCount":0,"url":"/video/search?text=KhanAcademyTurkce","origUrl":"http://www.youtube.com/@KhanAcademyTurkce","a11yText":"KhanAcademyTurkce. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":259,"text":"4:19","a11yText":"Süre 4 dakika 19 saniye","shortText":"4 dk."},"date":"19 eyl 2019","modifyTime":1568851200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Wel5_7psZy4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Wel5_7psZy4","reqid":"1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL","duration":259},"parentClipId":"4765607596862332480","href":"/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","rawHref":"/video/preview/4765607596862332480?parent-reqid=1769533438183520-1275302864503424098-balancer-l7leveler-kubr-yp-klg-283-BAL&text=Stokes-Line","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":"2753028645034240987283","errorList":[],"isAdultAdv":false,"isImportantCommonAdv":false,"shouldShowAdvId":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Stokes-Line","queryUriEscaped":"Stokes-Line","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"}}}