{"pages":{"search":{"query":"Spectrum of Mathematics","originalQuery":"Spectrum of Mathematics","serpid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","parentReqid":"","serpItems":[{"id":"14398868964262917552-0-0","type":"videoSnippet","props":{"videoId":"14398868964262917552"},"curPage":0},{"id":"6878560260564066174-0-1","type":"videoSnippet","props":{"videoId":"6878560260564066174"},"curPage":0},{"id":"5960492504255676302-0-2","type":"videoSnippet","props":{"videoId":"5960492504255676302"},"curPage":0},{"id":"4172256521049391042-0-3","type":"videoSnippet","props":{"videoId":"4172256521049391042"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dFNwZWN0cnVtIG9mIE1hdGhlbWF0aWNzCg==","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","ui":"desktop","yuid":"3479412591773711932"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"7969747443516095377-0-5","type":"videoSnippet","props":{"videoId":"7969747443516095377"},"curPage":0},{"id":"9800169566266481055-0-6","type":"videoSnippet","props":{"videoId":"9800169566266481055"},"curPage":0},{"id":"2358529697398205673-0-7","type":"videoSnippet","props":{"videoId":"2358529697398205673"},"curPage":0},{"id":"11931530656341426624-0-8","type":"videoSnippet","props":{"videoId":"11931530656341426624"},"curPage":0},{"id":"15451953979480104626-0-9","type":"videoSnippet","props":{"videoId":"15451953979480104626"},"curPage":0},{"id":"5524287220692777413-0-10","type":"videoSnippet","props":{"videoId":"5524287220692777413"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dFNwZWN0cnVtIG9mIE1hdGhlbWF0aWNzCg==","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","ui":"desktop","yuid":"3479412591773711932"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"13742779199377076983-0-12","type":"videoSnippet","props":{"videoId":"13742779199377076983"},"curPage":0},{"id":"16135706275057502117-0-13","type":"videoSnippet","props":{"videoId":"16135706275057502117"},"curPage":0},{"id":"7617742393061839362-0-14","type":"videoSnippet","props":{"videoId":"7617742393061839362"},"curPage":0},{"id":"8810301658072847895-0-15","type":"videoSnippet","props":{"videoId":"8810301658072847895"},"curPage":0},{"id":"4866162418819419364-0-16","type":"videoSnippet","props":{"videoId":"4866162418819419364"},"curPage":0},{"id":"16320352635127303135-0-17","type":"videoSnippet","props":{"videoId":"16320352635127303135"},"curPage":0},{"id":"1794826922447636869-0-18","type":"videoSnippet","props":{"videoId":"1794826922447636869"},"curPage":0},{"id":"15322661178053931923-0-19","type":"videoSnippet","props":{"videoId":"15322661178053931923"},"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,"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":"dFNwZWN0cnVtIG9mIE1hdGhlbWF0aWNzCg==","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","ui":"desktop","yuid":"3479412591773711932"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DSpectrum%2Bof%2BMathematics","pages":[{"reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"5230767444547941259764","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":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_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"}}},"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_channel_link_mode":2,"video_partner_label":1,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"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,"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":0,"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":["1506059,0,14;1501068,0,12;1457616,0,91;1480629,0,15;1504421,0,62;1488899,0,90;1504482,0,48;138060,0,96;1503564,0,58;1501186,0,69;123831,0,7;123851,0,18;1500926,0,36;1484368,0,46;1485097,0,35;1512225,0,44;1373786,0,69;1492283,0,66;1509930,0,86;1512186,0,8;1349038,0,84;1508564,0,95;1510885,0,21;133998,0,54;1505633,0,97;1508259,0,80;1505696,0,68;1509582,0,30;1510434,0,48;259953,0,92;45973,0,20;1462741,0,91;151171,0,79;126312,0,4;1281084,0,47;287509,0,1;220488,0,28;1447467,0,34;1482951,0,38;1499423,0,93;1499822,0,31"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DSpectrum%2Bof%2BMathematics","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Spectrum+of+Mathematics","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":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Spectrum+of+Mathematics","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Spectrum of Mathematics: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Spectrum of Mathematics\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Spectrum of Mathematics — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y6e21ed813f67198b39afe7ba36aa788d","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1506059,1501068,1457616,1480629,1504421,1488899,1504482,138060,1503564,1501186,123831,123851,1500926,1484368,1485097,1512225,1373786,1492283,1509930,1512186,1349038,1508564,1510885,133998,1505633,1508259,1505696,1509582,1510434,259953,45973,1462741,151171,126312,1281084,287509,220488,1447467,1482951,1499423,1499822","queryText":"Spectrum of Mathematics","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3479412591773711932","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1773711932","tz":"America/Louisville","to_iso":"2026-03-16T21:45:32-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-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":"1506059,1501068,1457616,1480629,1504421,1488899,1504482,138060,1503564,1501186,123831,123851,1500926,1484368,1485097,1512225,1373786,1492283,1509930,1512186,1349038,1508564,1510885,133998,1505633,1508259,1505696,1509582,1510434,259953,45973,1462741,151171,126312,1281084,287509,220488,1447467,1482951,1499423,1499822","queryText":"Spectrum of Mathematics","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"3479412591773711932","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":"5230767444547941259764","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":160,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"3479412591773711932","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1786.0__2b2d60e228e425e58bdada7520f0461169e746e7","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"14398868964262917552":{"videoId":"14398868964262917552","docid":"34-9-6-ZA3ABB0D4924C84EF","description":"To find the basis and dimension of the subspace spanned by the given vectors. #spectrumofmathematics #linearalgebra #vectorspaces #conceptbasedmathematics For more information and LIVE classes...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4079660/65c678b844facce93cf295deee4c44ca/564x318_1"},"target":"_self","position":"0","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DiQoJXjsHODs","linkTemplate":"/video/preview/14398868964262917552?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basis and Dimension of vector space| Vector Spaces| Spectrum of Mathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=iQoJXjsHODs\",\"src\":\"serp\",\"rvb\":\"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_E70HggQkAYAEKyqLARABGniB-P4IBPwEAPT--AX4BP8BDAX_AvcAAADuCfEABAAAAPr1_Qf9AAAACQf9_woAAAD8_AT7_P4AAAoBAP_tAP8ABgYB__4AAAALDfAC_wAAAO7-APYCAAAADQgBBQAAAAD49_3-AQAAAPME-_0AAAAACAn7AwAAAAAgAC2TuN47OBNACUhOUAIqcxAAGmDwFwAgDwfg3xoi5Qbt8QD5DBTc9_LwAPvcAPED7dwDHPbm_wIABNcF6tMAAAAO4-0J_QD5OAXrtw0aHwP76fck_H8CCgAOFxHw-hoSGfr5-f_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-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-AADYvQAAyL0AAII-AAB0vgAAD78AABy-AADYPQAAEL0AAIK-AAAsPgAAmD0AAOC8AAAcvgAAmj4AAOi9AACYPQAAjj4AAH8_AABQvQAAmj4AANg9AAAMvgAALL4AAIC7AADgvAAAED0AAIo-AAA8PgAABD4AABS-AABAvAAAmL0AAKC8AAAsPgAADL4AAKK-AACGvgAAyr4AAEA8AAC4PQAA2L0AAFy-AACYPQAAbD4AADy-AACevgAAlr4AAKi9AADSvgAAij4AAGw-AAAcvgAAQLwAAFc_AACIPQAAgDsAAJI-AAD4vQAADL4AADA9AABQPSAAOBNACUh8UAEqjwIQARqAAgAAJL4AAOC8AAAsPgAAKb8AAJi9AABMvgAAiL0AAFA9AADoPQAAoDwAAHy-AACGvgAAmj4AAEy-AACGvgAAEL0AAIi9AAArPwAAgDsAAPg9AACyPgAAyL0AAAw-AACYvQAAMD0AAOA8AADIPQAAfD4AADA9AAAMPgAAmD0AADw-AAAEvgAAgLsAAGS-AAAUvgAA2j4AACQ-AACCvgAAuD0AAKI-AACWvgAAyD0AAEC8AAD4PQAA4LwAAH-_AAAUPgAAwr4AAFQ-AABQPQAAUD0AANg9AAC4PQAAoLwAAMg9AACYvQAAmj4AADC9AACgvAAAiD0AAHy-AAB0vgAAiL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=iQoJXjsHODs","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14398868964262917552"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"6878560260564066174":{"videoId":"6878560260564066174","docid":"34-4-6-ZA9EA96F6111AC0B1","description":"This content describes_ 1) How to get the generators of subspace 2) To get basis of the sum of subspaces. 3) To get the dimension of sum of the subspaces 4) How to get the linear combination of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3047084/51dd5400442084e88f36960abd97f073/564x318_1"},"target":"_self","position":"1","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D8WAQ_33xrXM","linkTemplate":"/video/preview/6878560260564066174?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How to find basis of a vector space | Vector Spaces | Echelon Matrix | Spectrum of Mathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=8WAQ_33xrXM\",\"src\":\"serp\",\"rvb\":\"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_vgF-AT_ARQF-Ab1AQEA7gnxAAQAAADy9f8BAgAAAP8GAf8FAAAA__r-8P_-AQAK9gAB-gAAAAkM_AL6AAAADA3wAv8AAAD2_wD9-QEAAAgFBAEAAAAA-Pf9_gEAAAD1BwH4AQAAAAcKAvwAAAAAIAAtluDdOzgTQAlITlACKnMQABpg7BAALRz6zucaNOUN8fcJAAgYy_fl_f_tywDrCOPDATvn1gMaAAPMFeO-AAAAF9fx_-MA-1EW3rwHHS4J4NbpMf9_CQfxFCchBQIqGDH1BQH10f_xAPUJ6wgd-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-AACSPgAAPL4AAEA8AAB8PgAANL4AACu_AABUvgAA2D0AAIg9AABsvgAARD4AAMg9AABwvQAADL4AAII-AABQvQAA4DwAAHw-AAB_PwAAED0AAL4-AADoPQAANL4AAFS-AAA0PgAAiL0AAIA7AABEPgAAhj4AADA9AAA0vgAAoDwAAIA7AACIvQAAND4AAIi9AACavgAAor4AAOK-AACAOwAAiL0AAHS-AAC2vgAA4DwAAKo-AAB0vgAAPL4AALq-AABQvQAAtr4AAFw-AAA0PgAAuL0AALi9AABdPwAAQLwAAIA7AACaPgAAUL0AAOi9AACYPQAAmD0gADgTQAlIfFABKo8CEAEagAIAAFS-AAAMPgAAfD4AACW_AAAUvgAAdL4AAFC9AABwPQAARD4AAIi9AACGvgAAsr4AAIY-AABkvgAANL4AADC9AACIvQAAGz8AABA9AAAUPgAAxj4AAAS-AACYPQAA2L0AABA9AABAPAAAiD0AAII-AACAuwAAqD0AAJg9AABkPgAAHL4AAPg9AAAUvgAABL4AACM_AAAkPgAAqr4AAHA9AAAcPgAAXL4AAHA9AACYPQAA-D0AAEA8AAB_vwAAXD4AANa-AAB8PgAAQDwAADA9AACIPQAATD4AAOC8AAAEPgAAcL0AAGw-AABAPAAAED0AAIg9AACKvgAABL4AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=8WAQ_33xrXM","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6878560260564066174"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"5960492504255676302":{"videoId":"5960492504255676302","docid":"34-3-8-Z9406BD5CAE716B8C","description":"Evaluate the complex integrals over the given circle. Content : Complex Analysis (Msc.Mathematics) Branch : Pure Mathematics #complexanalysis #csirnetmathematics #conceptbasedmathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3472937/dc5b9cbb8ed8c9eea3da2b4cabc4b7e6/564x318_1"},"target":"_self","position":"2","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DIsXh-ih2Rgc","linkTemplate":"/video/preview/5960492504255676302?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Complex Analysis for csir net mathematics | Msc. Mathematics | Spectrum of Mathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=IsXh-ih2Rgc\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD7AwMNCgj7AgsA-_v3AAAA9QX1_fYC_wD59gQACwAAAP4H9Af8AAAAAPUAAwD-AQAEBPgHAwAAABUNCP72AAAADRf7Av4BAAD1-_78AwAAABIEAf3_AAAA-_0C_f3_AAAECAMEAAAAAAMLAwQAAAAAIAAtxJ_jOzgTQAlITlACKnMQABpg4g8ALQf52MUSMdzq5dQE9wn6uADu-__h_QAZ_e7I9Rrw7xEh_xm7Heu4AAAABeHtExcAylzZ2rUWK_EVwPLtMSJ_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_AAAIwgAAqMEAAEDAAABgQQAAOMIAAEjCAAAAwgAAgMEAAKjBAACOwgAAIMIAAGDBAAAAQQAA8EEAAIA_AABgwQAA8MEAAADAAACwwQAAsMEAAIA_AABcQgAAFMIAANBBAAAAAAAAVEIAAEDCAACOwgAAEEEAAEhCAAC4QQAAkMEAAChCAACQQQAAWMIAAEDAAACwQQAAgEAAAIDBAAAAQgAAiEEAADDBAAAAAAAAEMIAAKDBAABswgAAusIAAIhBAACgwQAAqEEAAPBBAACowQAAIEEAAIBBAACwQQAAlEIAANhBAADgQAAAJMIAABBCAADQwQAAUMEAAFjCAABgwQAAgL8AACDCAAAYQgAAMEEAALDBAABgwQAAwMAAAFBBAABEQgAACMIAAMDBAAC4wQAAQEAAABDBAACAwQAAhMIAAIBBAACQQQAAOEIAAMBBAAAkwgAATEIAAPDBAAAswiAAOBNACUh1UAEqjwIQABqAAgAAZL4AAJq-AAAkPgAA2L0AAIi9AACePgAAPL4AADm_AABEvgAADL4AAIi9AACCvgAAgDsAAOg9AABcvgAAXL4AAL4-AADIvQAABD4AAPI-AAB_PwAAUL0AAJ4-AACAOwAA4DwAAHy-AACAuwAAHD4AAOi9AAB0PgAAqj4AAFC9AADYPQAAJD4AAMi9AAA8PgAA6D0AAPi9AAD-vgAA6L0AAHy-AACoPQAAbD4AACy-AABsvgAAgLsAAM4-AACCvgAAPL4AAMq-AADYvQAANL4AAMo-AABcPgAAXL4AAKi9AABnPwAAmj4AAKi9AADIPQAALL4AADA9AABAPAAAQDwgADgTQAlIfFABKo8CEAEagAIAALK-AAAEPgAAQDwAABu_AACGvgAAUD0AAIo-AABAPAAArj4AABy-AADovQAATL4AANg9AAA8vgAAyL0AABQ-AACAOwAAEz8AANi9AACmPgAAtj4AAIi9AAAEvgAADL4AAKi9AAAkPgAAQDwAAII-AAAUvgAALL4AAKg9AAAsPgAA4DwAANi9AACoPQAAQDwAAFw-AABMPgAAgr4AAOC8AACuPgAARL4AAGQ-AAA8vgAAiD0AAKC8AAB_vwAA2D0AAAy-AACIvQAAJD4AABA9AAAcvgAAHD4AAJ4-AABMPgAA6L0AAOg9AABwPQAAyD0AAKi9AAAPvwAAqL0AALo-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=IsXh-ih2Rgc","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5960492504255676302"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4172256521049391042":{"videoId":"4172256521049391042","docid":"34-3-4-ZB6D1FB881AE8175B","description":"conceptbasedmaths@gmail.com For more information and LIVE classes contact me on conceptbasedmaths@gmail.com...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4726535/3cf67930e185cb366d52245bb79469d7/564x318_1"},"target":"_self","position":"3","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DVhqqHgzU46Q","linkTemplate":"/video/preview/4172256521049391042?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Limits of Complex Function | Analytic Function Engineering mathematics| Spectrum of Mathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=VhqqHgzU46Q\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD7AwMNCgj7AhME-Qb2AQEA9gD19QIC_wD59gQACwAAAP0C_AUBAAAA_fj4Avv-AAAEBvsH-QAAABUNCP72AAAADRf7Av4BAAD4Af0BA_8AABUE_gUAAAAA-wEJAPv_AAAAAQEDAQAAAAcI-wMAAAAAIAAtxJ_jOzgTQAlITlACKnMQABpg8RMAKv4O7OsTJPTy9d0B8uMN1_Tq-wAC_gAOF_LsDxrU3PUcAAvGHejLAAAAD_b5CvcA2D3_5N8eFxH_2-QG_xx_AQ0ADysF674IFAMOAPX54PrjAPX-CgwwFNApEB4nIAAttMFxOzgTQAlIb1ACKq8GEAwaoAYAAFxCAAA0QgAAgkIAAAjCAAA0QgAAoMAAAIpCAACEQgAARMIAANjBAADAQQAAIMIAAATCAACQQQAAaEIAABRCAADwQQAACMIAAIBBAAC4wQAAAEAAAKDBAACewgAAoEEAAHzCAACQwQAAEMEAANjBAABwQQAAQEAAADDCAAAQQQAAiMIAAFRCAAAkwgAAYEEAAEDAAABQQgAAAEEAALBBAAD4QQAA4MAAAGBCAADowQAAuEEAALjCAABwwQAAgEEAAJDBAAAUQgAAUMIAAEDBAAAAwAAAQMAAACxCAACWQgAAAMMAAKDAAAAQQgAAikIAABBBAACqwgAAoMAAAPjBAAAcQgAAYMIAAEBAAADgwAAAYMEAAADCAACUQgAAtkIAADDBAACIQgAAlsIAAMjBAACAwAAAoEAAAJjBAABgwQAAmMEAANhBAACgwQAANEIAADjCAABQQgAAwEAAANBBAACgQAAA-MEAAIC_AACaQgAASMIAAJDBAABEQgAA8MEAAJDBAACQwQAAsEEAADBBAAAQwgAAXEIAAIZCAADAQAAAXMIAAFBBAAAYwgAAYMEAAHTCAACoQQAAHEIAAHDBAACgQAAAuMEAAOjBAACyQgAAmMEAACTCAADwwQAAUMEAAMDAAAAwwgAAgEAAAFTCAABAwQAAuEEAAJjBAACwwQAAAMAAAKjBAADgwAAA4MAAAADAAACiQgAAuEEAAJpCAACIQQAAFEIAABBBAADIwgAA4EAAAKhBAABAQQAA8MEAACBCAADAQQAASMIAACBCAAAQwQAAPEIAAATCAADQQQAADEIAAPDBAABgQQAAAAAAAADCAACQwgAApMIAAKBBAAAkwgAAuEEAAADBAADAwAAAkMEAAADBAADIwQAAkkIAAKBBAAAQwQAADMIAAARCAABAQAAAwMAAAKjCAACAwAAA4EEAAMjBAACwQQAAZEIAAHjCAACYwgAA2MEAAPjBAABUQgAAyMEAADjCAABAwgAAQMAAAABAAADAQQAAgMEAAIBBAABAQQAADEIAAKpCAAAIwgAAQEEAAMjBAAAMwiAAOBNACUh1UAEqjwIQABqAAgAAuL0AAFS-AAB8PgAAuL0AANg9AADWPgAAHL4AAC-_AAC-vgAADD4AAHA9AADKvgAA2D0AAGQ-AADIvQAAQDwAAPg9AABwvQAAgj4AAKY-AAB_PwAA-L0AAEQ-AAC4vQAAXL4AAAy-AABUPgAAML0AAOC8AACGPgAAfD4AABQ-AAC4vQAAUD0AADw-AACAuwAAMD0AAPi9AACqvgAAcL0AAOq-AAAQvQAADD4AACy-AAAQvQAA6L0AAJo-AAAsvgAA6L0AAM6-AAAwPQAAfL4AAFw-AABcPgAAMD0AADC9AAAtPwAATD4AALg9AACoPQAAED0AAOA8AABwPQAAEL0gADgTQAlIfFABKo8CEAEagAIAAFy-AABAvAAAgLsAABW_AADIvQAAEL0AALo-AACgvAAAqL0AACQ-AAAQvQAApr4AABQ-AABcvgAAQDwAADC9AAAMPgAAEz8AAEA8AACePgAAyD0AAPg9AADovQAAUL0AABw-AAAkvgAAQDwAALg9AAAwPQAAmL0AAIC7AAAEPgAALL4AAOi9AABwPQAALL4AAMo-AABwPQAAkr4AAAQ-AACoPQAAFL4AAJi9AADgPAAAoDwAALg9AAB_vwAAED0AAIK-AABAPAAAHD4AAHC9AABQvQAAEL0AABA9AAC4PQAA4LwAAAQ-AADoPQAAmD0AAKC8AAA0vgAAiL0AAIg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=VhqqHgzU46Q","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4172256521049391042"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7969747443516095377":{"videoId":"7969747443516095377","docid":"34-2-13-ZC4DFDB668CB4EDAE","description":"Analytic Functions in Complex Analysis Continuity of Complex functions examples Analytic function engineering mathematics analytic function in complex analysis Continuity of complex functions...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3023900/0e387ed4b508942ab027903997e4156c/564x318_1"},"target":"_self","position":"5","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6Mf2eWhYFOU","linkTemplate":"/video/preview/7969747443516095377?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Continuity of Complex Functions Examples | Msc mathematics #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6Mf2eWhYFOU\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD7AwMNCgj7AgUC8_b3__8A8vvzA_kB_wD59gQACwAAAP0C_AUBAAAA-PUGAfr_AAD__P8D-gAAABgC_QD4AAAADQv8A_4BAADt9wL_AwAAABUE_gUAAAAA-AML_AEAAAAJCvwMAAAAAA0PAgf_AAAAIAAtxJ_jOzgTQAlITlACKnMQABpg-hUALxIF-eIYOO_j9ef5-OIK2_PuAAD1BgAKCO7gCA_p3fgaAAO7EevKAAAAGf_nCREA4kXs59kgFwIDy-f49Sd_6hr7_CsJ5sIdIwf9EwT96_D3APbz6RYlFd8y9CouIAAtByZmOzgTQAlIb1ACKq8GEAwaoAYAAExCAABUQgAAOEIAAPjBAABIQgAAyEEAAHBCAABAQAAAwMAAAFDBAAAAQAAAFMIAAEzCAADAwAAAXEIAAIjBAAAkQgAAGMIAAChCAABEwgAAVMIAAODBAAB0wgAAkEEAAFDBAACAwAAAgMAAAHzCAABwQQAAMEEAAGDBAABUQgAAfMIAAAhCAABEwgAAYEEAAIA_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_AAAAQgAAoEEAAPjBAACgwQAAIEEAAFDCAAA4QgAAIMEAABTCAADwwQAAoMAAAIDBAABYQgAA2MEAAIzCAABYwgAAAMAAANDBAADwwQAARMIAAOhBAADAQQAAmkIAAHRCAAC4wQAAdEIAAKDAAACAvyAAOBNACUh1UAEqjwIQABqAAgAAPL4AAAy-AAAcPgAAmD0AABA9AADuPgAAQLwAAB-_AACSvgAAmD0AAMi9AAC-vgAAED0AAEQ-AACmvgAAUL0AAHA9AACovQAAlj4AAPI-AAB_PwAABL4AAJY-AAAwvQAATL4AAOC8AACOPgAAyD0AADA9AAA8PgAAZD4AAIg9AABwvQAAbD4AAKg9AABAvAAABD4AAIa-AADuvgAAiL0AAMa-AAAkvgAA2D0AAPi9AAD4vQAAuD0AALI-AABcvgAATL4AAPa-AABQPQAAJL4AAJI-AACSPgAAML0AAKi9AAA9PwAAlj4AAKA8AABAPAAA2L0AAJi9AABwvQAA-L0gADgTQAlIfFABKo8CEAEagAIAAJ6-AABAPAAAmL0AACu_AABkvgAAQDwAALI-AABAPAAA6D0AAAS-AABQvQAApr4AAFQ-AACSvgAAqD0AAIg9AABkPgAACz8AABS-AAA0PgAAMD0AAPg9AACAuwAA2L0AABA9AAA8PgAAuL0AAOg9AAC4vQAAVL4AAHA9AAA0PgAALL4AAIq-AADYPQAAgLsAAK4-AACCPgAAjr4AAPi9AAA8PgAA-L0AAIC7AADgPAAAcD0AAHC9AAB_vwAAML0AAKa-AAC4PQAAvj4AADC9AACgvAAA2D0AAAQ-AACoPQAAcL0AACw-AACAuwAAcL0AABw-AAA0vgAAgDsAAFA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=6Mf2eWhYFOU","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7969747443516095377"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"9800169566266481055":{"videoId":"9800169566266481055","docid":"34-8-15-Z82FF5C8D5B0A8FBC","description":"Laurent series complex analysis Laurent series engineering mathematics Expand f(z) = z/(z+1)(z+2) about z = -2 Laurent's series expansion examples Laurent series engineering mathematics Laurent...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2966453/26fa7baaee87b70f3ed61b035d36ef57/564x318_1"},"target":"_self","position":"6","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DwI2N-7zlUMY","linkTemplate":"/video/preview/9800169566266481055?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Laurent Series Engineering Mathematics | Complex Analysis #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=wI2N-7zlUMY\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD7AwMNCgj7AhMJ_P32AgIA9QX1_fYC_wD47v8GBwAAAAn_-QP6AAAAAfcBBPb9AQAMAvgPAgAAABEEBfr4AAAACQ4DAP4BAAD__An8AwAAABEJCAH_AAAA9f4EAQEAAAAECAMEAAAAAAsD_AkAAAAAIAAtxJ_jOzgTQAlITlACKnMQABpgCQkAJyQJ9fkoNezb_dcJ8fIK0OT8EwDt7wAM8__VESnj3vcS_ya-HerAAAAABeT4_gQA6lLX4rgbIv76ytviGyJ_5gcA_x377M8BOvEACBnq0u0cAODy8BoO-c1B_Sg-IAAtBBZMOzgTQAlIb1ACKq8GEAwaoAYAACxCAADYQQAATEIAAILCAAAEQgAADEIAANBBAAAgQgAAwEAAAODBAABQQQAAAMIAAATCAACoQQAAREIAAIjBAAAAwAAALMIAAJhBAAAMwgAA-MEAABjCAABUwgAACEIAAIjBAAD4wQAAaMIAAKzCAABAQQAA2EEAAPjBAACQQQAAZMIAABRCAACgwgAA4MAAAFDBAACwQgAA8MEAAEBBAAAwwQAAwEAAAChCAABYwgAA-EEAAOzCAACIwQAAiEEAADhCAAAQQgAAisIAAODAAAAgQgAAwEEAAJBBAABwQQAAvMIAAIDAAADgwAAANEIAAPhBAACOwgAAiMEAANDBAADAQQAAcEEAAEDBAAAQwQAARMIAAIzCAADSQgAAmEIAADzCAACKQgAASMIAABTCAAAQQQAA6MEAALDBAACAvwAAqMEAAABCAABwwQAAQEIAACjCAABoQgAAsEEAAIjBAAAgwQAAbMIAADjCAACIQgAAsMEAAPDBAABwwQAAFMIAAKjBAAAAAAAA6EEAAEhCAABgwgAAlEIAAGRCAABEwgAAhsIAACDBAAAgwQAAcEEAAHTCAAB8QgAAGEIAAADAAAD4wQAAYEEAAMjBAADAQAAA2MEAAFDCAAA0wgAAAMIAABTCAAB4wgAARMIAAAAAAACYQQAAkEEAABDBAAAQwgAAFMIAABBBAABQQQAAkMEAAIA_AAAwQgAAkMEAAFxCAAC4QQAACEIAACjCAABwwgAAMMEAALBBAACQwQAAuMEAAEhCAABgQQAASMIAAADAAACQQQAAQEAAANDBAAAUQgAAbEIAAIC_AADgwAAAWMIAAPjBAACowgAAmsIAAFBCAACYwQAA0EEAAIA_AACYwQAA2MEAAFBBAADgQAAA4EIAAERCAAAAQQAAUMIAAExCAADYQQAA0MEAADTCAADYwQAAEMEAAAjCAABwQgAA2EEAAEBAAAAQwgAAUEEAAODAAABIQgAAqMEAAHTCAAAUwgAAAMEAAJjBAADAwAAAFMIAAOBAAAAAAAAAmkIAAChCAADQwQAAiMEAAATCAABMwiAAOBNACUh1UAEqjwIQABqAAgAATL4AADy-AACaPgAALD4AANi9AAAEPgAARL4AAB2_AACGvgAA4DwAAMg9AACevgAA4DwAALI-AABcvgAAgr4AAIo-AACovQAAhj4AAKI-AAB_PwAALL4AAAw-AACYvQAAiL0AAJi9AAAkPgAAiD0AAIg9AACCPgAAZD4AABA9AABAvAAAtj4AADC9AABQPQAA-D0AACS-AAC6vgAANL4AAKK-AABAPAAABD4AABy-AADIvQAAgDsAAA0_AADYvQAAqL0AADy-AADYPQAAVL4AAAw-AAAQPQAAHL4AAOC8AABDPwAAdD4AAIA7AAAkPgAAJL4AADC9AADYPQAADL4gADgTQAlIfFABKo8CEAEagAIAADy-AABAPAAAUL0AAB2_AAAQvQAAVD4AAHw-AACAOwAA4DwAALg9AABAvAAAgr4AAII-AAA8vgAAQLwAAKA8AAAkPgAAOT8AAGS-AABcPgAA6D0AAIi9AADYPQAAQLwAAMg9AAAsPgAAQLwAABQ-AAAMPgAA2L0AAFA9AACAOwAAJL4AADS-AACAuwAA4DwAADA9AADgPAAAJL4AAOi9AABMPgAA6L0AAFQ-AADYvQAAUL0AADA9AAB_vwAAFD4AAHS-AACIPQAAyD0AAKC8AADgvAAA2D0AAIC7AAC4PQAAML0AAFQ-AACgPAAAEL0AAIC7AACuvgAAcD0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=wI2N-7zlUMY","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9800169566266481055"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"2358529697398205673":{"videoId":"2358529697398205673","docid":"34-4-9-Z7242EB39F7E5A0E1","description":"Laurent's series engineering mathematics. Function of complex variables Complex Analysis engineering mathematics Comprehensive Higher Engineering Mathematics Hello Learners! Welcome to my...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2463024/7d97438c0cf9ed56dbb911a7f2962999/564x318_1"},"target":"_self","position":"7","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DxDcDmUAzCxE","linkTemplate":"/video/preview/2358529697398205673?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Laurent's series in complex analysis| Complex Analysis #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=xDcDmUAzCxE\",\"src\":\"serp\",\"rvb\":\"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_Af_7BgD5_vkEDAX9AQkI__j3AAAAAAjw_gME_gD5-_8FBQAAAAUE_gn_AAAAAfcBBPb9AQAMBvYDAwAAABYE_P0DAAAAAQ8ABP4BAAD8-AL_Av8AABX8_P4AAAAA-f0KBQEAAAD-Cf8DAAAAAAsD_AkAAAAAIAAtxJ_jOzgTQAlITlACKnMQABpg-QwAKSQI6_UoSuDcDNn9A_3g5M75Dv_g-wD3-QDHDhjt2O7-_y65HOG6AAAA993xEQAACl3ZAKwVIvT3ysXVIjJ_8__58hD82MkMNQr3CRDa9P4lAL8B5iUd-OZJ6R4-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_AACAvwAAsEIAABxCAAAIQgAAFMIAABBCAAAAwQAAQMEAADDCAADIwQAAgD8AAKDBAABoQgAAIEEAAKDBAAAAwgAAyMEAABDBAABsQgAAAMIAAIbCAAAAwQAAAEAAAPDBAACIwQAAKMIAAIBBAAAwQQAAnkIAAFRCAAAwwgAAQEEAAOjBAABMwiAAOBNACUh1UAEqjwIQABqAAgAARL4AAHS-AACaPgAAHD4AAAy-AAAkPgAABL4AABW_AABsvgAAED0AAKi9AAB8vgAAMD0AAKI-AAB8vgAAJL4AALg9AABQvQAAgj4AAKo-AAB_PwAAuL0AABQ-AACAuwAAEL0AADA9AAAUPgAAiD0AAPg9AABsPgAA-D0AAIg9AAAQvQAAlj4AAHA9AABQPQAAND4AAIa-AACavgAAEL0AAKq-AACgPAAAyD0AABS-AACgPAAAuD0AALI-AADgvAAAoLwAAEy-AABUPgAAgDsAANg9AACoPQAABL4AAHC9AABDPwAAbD4AAMg9AAAsPgAAJL4AALi9AAAwPQAANL4gADgTQAlIfFABKo8CEAEagAIAACy-AABAvAAA4DwAABO_AACgvAAAmj4AAJo-AAAsPgAAcL0AACQ-AACAuwAAir4AAII-AABUvgAAQDwAAFA9AACCPgAAMT8AAKi9AAD4PQAAUD0AANg9AAC4PQAAcD0AALg9AABEPgAAcD0AAAQ-AABwPQAALL4AAEC8AACIPQAAVL4AADy-AAD4vQAAUL0AABw-AABAvAAAVL4AACS-AADgPAAAmL0AACQ-AABQvQAAND4AAEC8AAB_vwAALD4AALi9AAA0PgAADD4AAIC7AABQvQAAmD0AADA9AABQPQAAoDwAADQ-AABwPQAA4DwAAMg9AACmvgAAQLwAADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=xDcDmUAzCxE","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2358529697398205673"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11931530656341426624":{"videoId":"11931530656341426624","docid":"34-8-0-ZF2D1F3AF59104E8D","description":"Laurent series in complex analysis Laurent series engineering mathematics Laurent's series expansion examples Laurent series engineering mathematics Laurent series complex analysis Laurent series...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4431658/9593bd2c44191a33ef992f8b7b81a5da/564x318_1"},"target":"_self","position":"8","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DTKhyPyJqEFk","linkTemplate":"/video/preview/11931530656341426624?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Laurent Series Engineering mathematics| Complex Analysis #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=TKhyPyJqEFk\",\"src\":\"serp\",\"rvb\":\"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_E8kBggQkAYAEKyqLARABGniB-_8B__sGAPsDAw0KCPsCEwn8_fYCAgD1BfX99gL_APju_wYHAAAACf_5A_oAAAAB9wEE9v0BAAwC-A8CAAAAEQQF-vgAAAAJDgMA_gEAAP_8CfwDAAAAEQkIAf8AAAD1_gQBAQAAAAQIAwQAAAAACwP8CQAAAAAgAC3En-M7OBNACUhOUAIqcxAAGmAACQAmJQj47iIz7NgA0Qrx9gfM5_gS_-fyAAftB9AQJ-Le8RH_KbUZ4rsAAAAM2P36DQDpWdndsxsl-P3K1eUdJX_pDgwAJPzwxQE39wQFJePT6h8A2fHeHQ4DzUL2MDwgAC32hEA7OBNACUhvUAIqrwYQDBqgBgAAYEIAAOhBAADgQQAAhMIAANhBAAAAQgAAQEIAAABBAAAgQQAAAMEAAOBBAAAkwgAA4MEAAEBAAAAUQgAALMIAANhBAAAEwgAAPEIAADTCAAAIwgAAEMIAACjCAACwQQAAmMEAABDBAAC4wQAAjMIAANBBAAAAQQAAQMEAAKhBAACQwgAA4EEAAKjCAAAAwQAAQEAAAPBCAABgwQAADEIAAHDBAACgQAAAYEIAAKjBAAD4QQAA9sIAAMBAAABoQgAAWEIAAPhBAACMwgAAoMAAAKBAAADIQQAAYMEAAKBBAADMwgAAQMEAAJDBAAAMQgAAwEEAAKTCAACAQAAAeMIAAEBAAACwQQAAwMEAAADCAACEwgAAfMIAAKpCAAC6QgAAfMIAAABCAACQwQAA-MEAAABAAAAwwQAAkMEAAODAAAAgwgAAQEIAAKBBAACMQgAAEMEAAFxCAADQQQAA4MAAAEBAAABUwgAAgMEAAMBCAACAwQAA8MEAAKjBAAA0wgAAYMEAAABBAACEQgAAsEEAAIbCAACGQgAAIEIAAETCAACEwgAAiEEAAMBBAAAYQgAACMIAAGBCAAAYQgAAEMEAACTCAAAAAAAAoMAAAMBAAADowQAAAMIAAHDBAAAAQAAAHMIAAILCAAAIwgAAgMAAAAAAAACgQQAAAAAAAETCAACowQAAEEEAAIC_AACAwQAAgMEAABxCAADYwQAAVEIAAIhBAAAEQgAAhMIAAHDCAACYQQAACEIAAIBAAACIwQAAUEEAAIhBAABQwgAAQEAAAIC_AADAwQAAgD8AADhCAADwQQAAwMEAAODAAABowgAAYMEAAKrCAACmwgAA4EEAAIDBAAAgQQAAUEEAAIDBAAA8wgAAYEEAAIBAAADMQgAAUEIAAJBBAADQwQAAAEIAADBBAADAwAAAUMEAADzCAACAPwAAEMIAAIJCAADIQQAAPMIAADDCAADgwAAAYEEAAGhCAAA8wgAAdMIAAADBAACgwQAARMIAAEDBAAAAwgAAQMAAADDBAABwQgAAFEIAALDBAADwQQAAAMAAABTCIAA4E0AJSHVQASqPAhAAGoACAAA0vgAAPL4AAI4-AAAkPgAA6L0AAMg9AABUvgAAH78AAFy-AAAQPQAAyD0AAIq-AACgPAAAoj4AAGy-AAB8vgAAfD4AAIi9AACCPgAAoj4AAH8_AAAUvgAA-D0AAFC9AACovQAAoLwAACQ-AAC4PQAAMD0AAGw-AABUPgAAQDwAABC9AACiPgAAEL0AAJg9AAD4PQAAHL4AAJ6-AAAMvgAAsr4AABC9AADYPQAAJL4AAHC9AACgPAAACT8AALi9AABwvQAAHL4AABw-AAAkvgAA6D0AAOA8AAAcvgAAUL0AAEM_AABMPgAAoDwAACQ-AAAcvgAAqL0AANg9AADYvSAAOBNACUh8UAEqjwIQARqAAgAAJL4AAJg9AACgvAAAEb8AAFC9AACSPgAAVD4AAMg9AAAQPQAABD4AADC9AAB8vgAAZD4AABS-AADgPAAAED0AAEQ-AAA3PwAAbL4AAEw-AAC4PQAAcL0AAMg9AABAvAAAqD0AAFQ-AACAuwAADD4AANg9AADIvQAAoDwAAEC8AAAMvgAAFL4AAIC7AABwPQAAED0AAOA8AAAMvgAAJL4AABw-AACYvQAAZD4AAOi9AAAQvQAAUD0AAH-_AABEPgAATL4AAFA9AABwPQAA4LwAABC9AAAEPgAA4DwAANg9AACgvAAABD4AABA9AABAPAAAoLwAAMK-AABQPQAA6D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=TKhyPyJqEFk","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11931530656341426624"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15451953979480104626":{"videoId":"15451953979480104626","docid":"34-5-8-Z43E276A7AED5885E","description":"Spectrum Of Mathematics Msc.Mathematics Linear Algebra Linear Algebra engineering mathematics Basis and Dimension Vector Spaces snd Subspaces csir net maths Msc.Mathematics Pure Mathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4000406/dc2856df109387c9d6a9164fc9e09d2d/564x318_1"},"target":"_self","position":"9","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBCo1BtN9T0M","linkTemplate":"/video/preview/15451953979480104626?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Spectrum Of Mathematics Linear Algebra #linearalgebra #mscmaths #mathematics #maths #shorts","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BCo1BtN9T0M\",\"src\":\"serp\",\"rvb\":\"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_v_4__sGAPsDAw0KCPsC-gP_Afn9_QACCPv-_wT-APju_wYHAAAA_gf0B_wAAAD7_f4G_v4AAAwA_QP7AAAACQwG_PoAAAAPEPr5_gEAAPgBCv4CAAAACAUEAQAAAAD7_QL9_f8AAPkDC_wAAAAAAQQF_v8AAAAgAC3ZbeQ7OBNACUhOUAIqcxAAGmDIBQAfMREBzBEc2-Hp0Qjl_w63D-XwAOXXAAH4-9wKDtXr-Cj_K9AQ5LsAAAAI4AD1JADEWcfOxCsu-u_S5_IiDX_0GPESPf7t2CEz_P31G_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-QgAAoEAAAFzCAAAkwgAAJEIAAHhCAABQwQAAWMIAAExCAAD4wQAAEEEAAIBAAACIwQAA0MEAAIRCAACAQAAAYMEAAMDAAADIwQAAkMEAAHBBAACowQAAusIAAEDBAACgQQAAUEEAALDBAAAAAAAAgEAAAJTCAACAwQAAQEAAAJrCAAAAwQAADEIAAGBCAABAQQAAKEIAAADAAAAgQQAAAMAAACDCAAD4QQAARMIAAFDCAABAwQAARMIAAADCAADYwQAAKEIAAETCAAA4QgAASMIAAOBBAADowQAAsEEAAJhBAAC4QQAAUEEAAEBAAACQwgAAjEIAANDBAACAQQAAAEEAAKDAAACEwgAATMIAALBBAABAQQAAqEEAAIA_AAD4wQAAoEAAAExCAACQwQAAPMIAAMBBAACMwgAAgD8AAOjBAAAMwgAAkEEAAJhBAACAQAAA8EEAAMBAAADgQQAABMIAAEDAIAA4E0AJSHVQASqPAhAAGoACAABkvgAAgr4AAFw-AAAQvQAAgDsAAOI-AAB0vgAAM78AAMK-AABwvQAA6D0AAOa-AAAUPgAAZD4AAOi9AABcvgAA9j4AAOi9AACWPgAAzj4AAH8_AADovQAAij4AAOi9AAB0vgAA0r4AABQ-AADgvAAAoLwAAK4-AADKPgAAqL0AALi9AABkPgAAXL4AAIC7AADgvAAAgLsAAOa-AAAUvgAAkr4AAEQ-AABUPgAAcL0AAKK-AACovQAAzj4AAOa-AABUvgAAwr4AAGS-AADSvgAADT8AAOC8AACAOwAA4LwAAG8_AAB0PgAABL4AAKi9AACevgAALD4AABC9AAAkviAAOBNACUh8UAEqjwIQARqAAgAADL4AADw-AABQvQAANb8AANK-AABwvQAAyj4AAOC8AACiPgAAoLwAABS-AACSvgAA6L0AABS-AAAsvgAAcD0AANi9AAD6PgAAvr4AAGw-AACKPgAAkr4AADy-AADYvQAAqL0AAGQ-AACavgAAbD4AAKC8AADIvQAAiD0AABw-AAC4vQAANL4AABA9AAAsPgAAHT8AANg9AAAkvgAA-L0AAO4-AAAUvgAAEL0AAOC8AACAuwAAmD0AAH-_AAAcPgAARL4AAIC7AAD4PQAAuD0AAIi9AAA0PgAA-D0AAFw-AAAMvgAAcD0AAJg9AADYPQAAMD0AAK6-AACYvQAAsj4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=BCo1BtN9T0M","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["15451953979480104626"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"5524287220692777413":{"videoId":"5524287220692777413","docid":"34-1-11-ZDB49B92F22795EB5","description":"Linear Algebra Msc mathematics | Msc mathematics notes | Msc maths lecture notes | Msc maths linear algebra | Engineering mathematics | Ugcnet maths Content: Eigen values & eigen vectors Linear...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1569515/e5a1bba0dae6cdffe6f5a9761ca06790/564x318_1"},"target":"_self","position":"10","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNzSogDt2xg0","linkTemplate":"/video/preview/5524287220692777413?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Eigen Values & Eigen Vectors | Msc.Mathematics #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NzSogDt2xg0\",\"src\":\"serp\",\"rvb\":\"EqwDChQxNDM5ODg2ODk2NDI2MjkxNzU1MgoTNjg3ODU2MDI2MDU2NDA2NjE3NAoTNTk2MDQ5MjUwNDI1NTY3NjMwMgoTNDE3MjI1NjUyMTA0OTM5MTA0MgoTNzk2OTc0NzQ0MzUxNjA5NTM3NwoTOTgwMDE2OTU2NjI2NjQ4MTA1NQoTMjM1ODUyOTY5NzM5ODIwNTY3MwoUMTE5MzE1MzA2NTYzNDE0MjY2MjQKFDE1NDUxOTUzOTc5NDgwMTA0NjI2ChM1NTI0Mjg3MjIwNjkyNzc3NDEzChQxMzc0Mjc3OTE5OTM3NzA3Njk4MwoUMTYxMzU3MDYyNzUwNTc1MDIxMTcKEzc2MTc3NDIzOTMwNjE4MzkzNjIKEzg4MTAzMDE2NTgwNzI4NDc4OTUKEzQ4NjYxNjI0MTg4MTk0MTkzNjQKFDE2MzIwMzUyNjM1MTI3MzAzMTM1ChMxNzk0ODI2OTIyNDQ3NjM2ODY5ChQxNTMyMjY2MTE3ODA1MzkzMTkyMwoUMTIzMzMyNjI5MjIyNTE1MjcyMzkKEzc4MDY1NjIzMDgyOTE0MTM2OTYaFQoTNTUyNDI4NzIyMDY5Mjc3NzQxM1oTNTUyNDI4NzIyMDY5Mjc3NzQxM2qvDRIBMBgAIkUaMQAKKmhocnBmdndsaXJyZ2xmZmNoaFVDQk54X3ctNGJnNldzdzJCNThrQ2lFQRICABIqEMIPDxoPPxPQA4IEJAGABCsqiwEQARp4gff-_AD-AwD7AwMOCgj7Agz--wj3__8A9QX1_fYC_wDp-QMGCP8AAP0T-vQEAAAA_AIEBPb-AQAF-fsK8gD_AAgH__f3AAAAEBD6-f4BAAD68gD4AgAAAAgED_z_AAAA7QMQAv8AAAD-CAMLAAAAABYJCgEAAAAAIAAtAFPbOzgTQAlITlACKnMQABpgFRYAMDYM8_UTCPDz1fr68P0Q0Prr9wDz9wD8-vTPEhgD8fkiAATEGPTFAAAAIb8F3w0Awkzt1NEOJvkA79P1BxJ_Bhn9KUkaCegNIgbx-PjyzdQOAALy4P8JCskV_zQsIAAtBBJWOzgTQAlIb1ACKq8GEAwaoAYAAARCAABAwAAA4EEAAM7CAACAwAAANEIAAJBCAADQQQAAQMAAAODBAAAAAAAAQMEAABTCAAAwwQAA8EEAAKBAAABQwQAAbMIAABhCAAAkwgAAIMEAADjCAACwwQAA0EEAAMDBAAAkQgAA2MEAAAzCAABAQQAAIMEAAEzCAAAEwgAApsIAAIA_AAAMwgAAcEEAAODBAACwQgAA4MAAAIA_AAAAwAAA6EEAAExCAACgwAAAiEIAAILCAADIQQAAoMAAAEBCAADgQAAAdMIAAMDAAADYQQAA4EEAALhBAACAvwAA-MEAABBBAADAQAAAxkIAANhBAADIwgAABMIAALjCAACAQAAAqMEAAJDBAACAQAAAFMIAALDBAAB4QgAACEIAAMTCAACEQgAAMMEAADzCAACCwgAA-MEAAIA_AABAwAAAkMEAAEBCAACAQQAAEEEAAMDBAACoQQAAmEEAAMDAAACQQQAA4MEAAGTCAACIQgAA8MEAAMDAAABAQAAAVMIAAOjBAACwQQAAlEIAABRCAABQwgAAIEIAANhBAABUwgAA0MIAAMBAAABAwQAAlEIAAMDAAABYQgAAoEEAAIC_AABowgAAgMAAAKDAAACAQQAA6MEAAHTCAADAwAAAsMEAAMDBAACawgAAQMAAAJBBAACQwQAA-MEAAOjBAAA8wgAAKMIAACDCAACwwQAABMIAACRCAACKQgAAAMIAANhBAABgQQAABEIAADjCAABEwgAAuEEAADBBAAAcQgAAmMEAADBCAAAAQQAAFMIAADDCAACAPwAAHEIAABzCAAC4QQAA8EEAAJjBAAAoQgAAEMIAAHjCAACgwgAAdMIAAMBBAABAQQAAAEIAACxCAAAQwgAAoEEAAKBBAACgwAAAbEIAACBCAACgwAAAIMIAADRCAAAAwgAA0MEAAHDCAAAAwQAAuMEAADjCAAB0QgAAUMEAAGjCAAAQQQAAgD8AAIDBAABEQgAArMIAAADCAACewgAA6EEAAFBBAAAQQgAAUMIAALhBAACgQAAASEIAABBCAAAIwgAA4EEAAJDBAAAAwiAAOBNACUh1UAEqjwIQABqAAgAAML0AAAy-AACePgAAcL0AAKi9AAAbPwAAQDwAAFu_AAAMvgAAcL0AAKC8AADmvgAALD4AAPg9AAA0vgAABL4AAAw-AAAQvQAAND4AAOI-AAB_PwAAir4AAMI-AABQvQAAiD0AADC9AADYPQAA6D0AAKg9AAC2PgAAsj4AAIi9AAAEvgAAdD4AAPi9AADoPQAAED0AAES-AAD2vgAAir4AAIa-AACgPAAAiD0AACS-AAC-vgAADL4AAL4-AACavgAA1r4AAJa-AAAMvgAAhr4AAJI-AABAPAAAML0AAOA8AABDPwAAVD4AAKi9AABcPgAA4DwAAIA7AAD4PQAAED0gADgTQAlIfFABKo8CEAEagAIAABy-AABkPgAAMD0AADe_AAB8vgAA2L0AAM4-AACovQAABD4AADA9AAAUPgAAfL4AALg9AADovQAAED0AAKA8AADgvAAAGT8AAAy-AAAsPgAAPD4AAAS-AABQvQAANL4AAHC9AABwPQAAiL0AADQ-AAAcvgAAoDwAAOg9AAAUPgAAdL4AABC9AACYPQAAoLwAAFw-AACePgAAhr4AAFS-AAC-PgAAiL0AADA9AABQPQAA4DwAAFA9AAB_vwAAMD0AABC9AAC4vQAAgj4AAEQ-AABQPQAAqD0AAAQ-AAAkPgAAiL0AACw-AACYPQAAqL0AAAw-AAA0vgAAuL0AAKA8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=NzSogDt2xg0","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5524287220692777413"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"13742779199377076983":{"videoId":"13742779199377076983","docid":"34-11-1-Z85FE222512EDA497","description":"maths viral video #complexanalysis #mscmathematics #mathematics #ugcnetmaths #maths #education #puremathematics #mathlecture For more information and LIVE classes contact me on...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2730275/7c3028945de3b1ff78166f3d786c1322/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/MxQYAwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRQ8rkn37aJ0","linkTemplate":"/video/preview/13742779199377076983?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Open mapping theorem in Complex Analysis #complexanalysis #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RQ8rkn37aJ0\",\"src\":\"serp\",\"rvb\":\"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_E88OggQkAYAEKyqLARABGniB-_oBBP4CAPn--QQNBf0BCwoHAPcBAQD1BfX99gL_AAHw9QgBAAAA_gf0B_wAAAD2-P__8_8BAAYE_QEEAAAADwP-__0AAAABEAAE_gEAAPz0DPwCAAAAEPv4BQAAAAD5_QoFAQAAAPkQ_QYAAAAAEvsAAfz0_gAgAC3CpNo7OBNACUhOUAIqhAIQABrwAX_3D__XDtsA1AXFAAEKvQG8Izb_HyneAMETJgG4A98A7BrcANPk4AEHHxQBuAQYABHcywD5zAIAVbsKABoOJQHl6_YAH_v3ACMd-QEX9vcBzwjk_vPzDAAZ1NADHBzbACDzBP0ZHeT9C-m0CRD-QgEKOhcC-hQG_toIHATOQCT99vjD_vkv9wH48vr61RwiAun98QcdGSgACBve_vYY_wXR2Bv8-OHq_zPq7Qn7DAP9D9ki-wX0BwMLziAG9Cnq__URIQPk7Q776-8U8CHZA_H0AOkD8_73_hoSCg_z5PPuBN34-esBAfYB2Pv-JfXy_yAALU78Czs4E0AJSGFQAirPBxAAGsAHTz7Fvn7Y3DwxxrA7w-a9PcFLGr0bSxg8dHx0PaqBpj25Fxi8pg7yPZX0MLxkyWe66dM6vnabIb2l6ui8xVWFPlQwb72bfyq8YsrGvVrAXzwD5zG8Yt6uvWEZm7y-Nx884EMuvQEmmj3NK087Qd4jOxk5m71sKma8JLoivQkMg71L6iS92Kh9Pdcwk728GTQ611YHvYPlY72pw2W8y8iPvGNzn7yRMQ29_YC8PeWJFj2Jtwm99Wf_vYHzmL2DVju8gkLIPdoT7jwi2N08FbOYOyxnaj3GljS9yRpKOgoxpz3TO407DtYkvMoV3j2T3wK9DbbivMfWlrpG4Dm9izzFO-e-QTx38SM8cJedPR8TGT56rTk5HT3evb7ADD67CAu6-YTsPPaVBz2xm4C7pWglPtj4p7xOSJY5QgNWPcTdzzx5aKs6kCQQvBDfoz2mYgM9S5ZuvAnusT2kJBi8X5WQPZpEuD1Qbls8J1envNjWTz0qWtQ8Uu2jPcXgxrwmfIQ7FryJO6muMrzuWHC7BSOlPdYCO75J5Zo6JNbnuXPxt7yOll48Db_hu0LzVD1yj4C8thyOPZKXsbtAmZA75_PLvegdIbxitPU7FvVuPDCQFr2BXGI7YEGFvU15_jz51Fa8Zh6_vYUtbD1qMVu7cuyPvImTQD1NsCw7fMCXvFq_VL0v4-A7_IUjPWxXjTwPYgg7LHI6O18EMrz7hOA7ElDBPcF4Qb1h0wq60YkuPcNK4Dz6Z587FSwCvBYEtb05nQq63WGTPbuXC76lDmg5FcpCPMqxaz2bzOo5ZVxnvbh8P71QLpU5m_NCPCSBAjzhJKc4rhlPvOw2Q70aTrU5Tz0CPrGz9Dttk2q5PBbbPSVeeT3FJ7W4E6SNvUWXuzswtGQ5vWGRvMerYrzAkcW4iqIxPa5YC7zlZZ-4Il84PfNl2DwhgiK5gvKIPONVcT3PZ9O4wM3iPTbfUryebxw5I6yMPfRsBr7PcKU5UIiFPUYIbz0f1iY4lKjyPBAC1zyjTM62GMeiPeOFmTuZ29E3ObSYPaaPir3MHdo34tf-uop6rD3VWJW4OKu0vEvW1TvKKDU5ylGgvXES9zrajhW19icBPkRSS70bbDg4Loz0vaZYfzwUgA24gKBXPVjZiL1OyYW4qp7HvXqdjr2STdU3IY1Pve6CfL1GFY644tN3vJXhvr2sth833uhePXjlhL1BUrS4QstfPWMatz1ukI44BwunvL387j2DtB65tBbAvVQ0uz08X7I4EQmVPP0z472lEoG2IAA4E0AJSG1QASpzEAAaYAb8AC_7JsIEEDri6frt9tn91dX-7ST_4hUA-BXc2QAW5uH9Cv8ZuzbjsgAAAPYJySEJANppzQHkAB4FB729qzsjf-gGFNvaId-x_yAa-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_AAAwQQAA-EEAANBBAAAAwwAA6MEAADRCAAAIwgAA6EEAALDBAACEwgAA4MEAAKDBAACgQQAAokIAACDCAABcQgAA4EAAALhBAABwQgAAAMEAAOBAAABAQQAAEEEgADgTQAlIdVABKo8CEAAagAIAANK-AABsvgAAVD4AAJY-AAAEvgAAgj4AAAy-AAA5vwAA9r4AADC9AABAPAAAdL4AAIC7AACSPgAAlr4AACS-AACiPgAAmL0AAIo-AAAHPwAAfz8AALi9AACqPgAATL4AAJi9AACgPAAAuD0AAAw-AACYvQAA6D0AAK4-AADgPAAAqL0AAJY-AACYvQAAgDsAAMg9AAAkvgAAvr4AADS-AABkvgAA2D0AADQ-AACCvgAArr4AAPg9AADqPgAAtr4AAIC7AADKvgAAoDwAALi9AACIPQAAFD4AALi9AAAEvgAAYz8AAFw-AAC4PQAAmj4AAFS-AACIvQAAMD0AAAy-IAA4E0AJSHxQASqPAhABGoACAADavgAAXD4AAFQ-AAANvwAAyL0AADQ-AABcPgAAUD0AAAQ-AAC4PQAAiL0AAJK-AAA0PgAA-L0AALi9AADoPQAALD4AADM_AACIPQAAiD0AANo-AACIPQAAuD0AAIC7AAC4vQAAND4AAPi9AACaPgAADL4AANi9AADoPQAABD4AADC9AACIPQAALD4AAOi9AAD-PgAALD4AAJq-AAB8vgAApj4AAKA8AABcPgAAFL4AAGw-AACYPQAAf78AAJY-AADgPAAAuD0AAKo-AABwPQAAmD0AAI4-AABMPgAARD4AAHC9AACAOwAAFD4AAIA7AABAPAAAwr4AADS-AABsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=RQ8rkn37aJ0","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["13742779199377076983"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"684079237"},"16135706275057502117":{"videoId":"16135706275057502117","docid":"34-2-17-ZE4E65D151243A4E4","description":"maths Hello Learners! Welcome to my Channel : Spectrum of Mathematics About the content: Differentiability of complex valued function examples Here, You will find the contents explained in a very...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3430042/433e8539254b1d2bff0a53e5baf890ef/564x318_1"},"target":"_self","position":"13","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DNUoeKgdGgGI","linkTemplate":"/video/preview/16135706275057502117?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Differentiability of Complex Valued Functions | Msc mathematics #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=NUoeKgdGgGI\",\"src\":\"serp\",\"rvb\":\"EqwDChQxNDM5ODg2ODk2NDI2MjkxNzU1MgoTNjg3ODU2MDI2MDU2NDA2NjE3NAoTNTk2MDQ5MjUwNDI1NTY3NjMwMgoTNDE3MjI1NjUyMTA0OTM5MTA0MgoTNzk2OTc0NzQ0MzUxNjA5NTM3NwoTOTgwMDE2OTU2NjI2NjQ4MTA1NQoTMjM1ODUyOTY5NzM5ODIwNTY3MwoUMTE5MzE1MzA2NTYzNDE0MjY2MjQKFDE1NDUxOTUzOTc5NDgwMTA0NjI2ChM1NTI0Mjg3MjIwNjkyNzc3NDEzChQxMzc0Mjc3OTE5OTM3NzA3Njk4MwoUMTYxMzU3MDYyNzUwNTc1MDIxMTcKEzc2MTc3NDIzOTMwNjE4MzkzNjIKEzg4MTAzMDE2NTgwNzI4NDc4OTUKEzQ4NjYxNjI0MTg4MTk0MTkzNjQKFDE2MzIwMzUyNjM1MTI3MzAzMTM1ChMxNzk0ODI2OTIyNDQ3NjM2ODY5ChQxNTMyMjY2MTE3ODA1MzkzMTkyMwoUMTIzMzMyNjI5MjIyNTE1MjcyMzkKEzc4MDY1NjIzMDgyOTE0MTM2OTYaFgoUMTYxMzU3MDYyNzUwNTc1MDIxMTdaFDE2MTM1NzA2Mjc1MDU3NTAyMTE3aq8NEgEwGAAiRRoxAAoqaGhycGZ2d2xpcnJnbGZmY2hoVUNCTnhfdy00Ymc2V3N3MkI1OGtDaUVBEgIAEioQwg8PGg8_E7oCggQkAYAEKyqLARABGniB-wAB-v8CAPv8_w8BCfsCFAX4BvUBAQD1BfX99QL_AOn5AwYJ_wAABQ70CgUAAAD28v0J9_8BAAsBAP_sAP8AEAb-CPYAAAAQEfr5_gEAAPT7_vwDAAAADQEKBQAAAAD8DQf_AgAAAAAX9wsAAAAAEAcMDP8AAAAgAC1ZJtc7OBNACUhOUAIqcxAAGmDqEQBMJP7y1i8v8u_q4f0G0RHM7-0L_8z-AB4K6M4OFuPEBCAAGroY2rUAAAAb4vr8FwD2W-3YuBYb8__P9_AMNn_1HP4BQRLpuzUr9t4N7fHU8gkA3vL4MzgcxikJPDYgAC3K_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-AACAOwAAQDwAABE_AACgPAAAJb8AAJq-AADIPQAANL4AAK6-AADoPQAABD4AAI6-AAAwvQAAUD0AANi9AABcPgAAwj4AAH8_AADYvQAAnj4AAKi9AAAEvgAAgLsAAFQ-AAAQPQAAiD0AAIY-AABMPgAAHD4AALi9AACWPgAAoDwAAKA8AAAsPgAAdL4AANK-AAD4vQAA0r4AAIi9AADIPQAAyL0AAEC8AACAOwAAVD4AABy-AABkvgAA7r4AANg9AABsvgAAdD4AAGw-AAAQvQAAcL0AADM_AABkPgAAML0AAIg9AADIvQAADL4AAKA8AADYvSAAOBNACUh8UAEqjwIQARqAAgAAmr4AAHA9AACYvQAAL78AAGS-AAC4PQAArj4AAKg9AABAPAAAqL0AAMi9AAC-vgAAPD4AAGy-AACYPQAA4DwAADQ-AAAbPwAALL4AACw-AAAwPQAAoDwAAKA8AAAcvgAAoDwAAOg9AACovQAAiD0AAOC8AAAsvgAAMD0AAKg9AAAUvgAAkr4AAHA9AABAvAAAPD4AAFw-AAAkvgAAiL0AADQ-AAAsvgAAqD0AAOA8AADgvAAAED0AAH-_AAC4vQAAsr4AABQ-AAC-PgAAQLwAAOg9AACIPQAAuD0AABA9AABwvQAAbD4AABA9AADYvQAAFD4AANi9AACAuwAAgLsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=NUoeKgdGgGI","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16135706275057502117"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7617742393061839362":{"videoId":"7617742393061839362","docid":"34-10-6-ZD23E7EDA92BCB424","description":"Spectrum Series: Math Script For over fifteen years, Spectrum Workbooks have been recommended by teachers and trusted by parents. These content rich workbooks offer systematic instruction to help...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4264160/66b46210345872604e5ca750838ffa4c/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/mdu8ZwAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfnC76mCCOmQ","linkTemplate":"/video/preview/7617742393061839362?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Spectrum Math Series from Carson-Dellosa Publishing Group","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fnC76mCCOmQ\",\"src\":\"serp\",\"rvb\":\"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_xT3Bvb-_gDsCu8ABQAAAPL6CAIEAAAA_fnw9gQAAAD6E__69_4BACAA9g0CAAAAFg0AAf4AAAACFvP3_wEAAPbq9AMD_wAACPsHDf8AAADv7fQBAAAAAP0C8_ABAAAABf0C-AAAAAAgAC1MxcY7OBNACUhOUAIqhAIQABrwAX8N-QGsIPr9Pd_6AbYW6gCqCv8APd_iAIwl8AHUF-0B4BztAPUE3_9A6xMApv74AR4J-P8zDgcBGes9_gM4AAG4LC8ANcwPARj_-gLoABUA-fbtAAf4-v8TEgkAC-gA_wcj6v35Acr_J_weAgDu9AMg6v4CHhkZAR0R5QT15wkF4_Lw_kAVCQIDAgb62uAOAOcD4QEdLhYA5eP3BQ7z6gAYGAr_CgD7-PXXL_0e-_X48Azf-BonBfft4fHz1_4kBhoFIQDu_fP58vbzBxoC_Qkd6BHwEP_yARQzAQsp_ev6IxP7--ADDQLt5hwE_-cGBCAALfWKGjs4E0AJSGFQAipzEAAaYBYCADcFBf7vAF3R3gXMICv49sEm2UL_Eub_8SGi1PcU7Nox9wA4xiHqoAAAAAPKGvouAPl_DNDUJtsl8smi7DLpYBAkIPD5D0TfIOoK1h3H_sP8WgDQ57RZFwvWESc4FSAALex2Gjs4E0AJSG9QAiqvBhAMGqAGAAAAwQAACEIAAAzCAAAAwQAAoMAAAJBBAABQQQAAFMIAACRCAAAAQgAAoEEAAKrCAADOwgAAcMIAAEBCAAAcwgAAEEEAAETCAACwwQAAQEAAAJDBAACIwQAAIEIAACBCAABcQgAA4MAAAJjCAADgwQAALEIAAKZCAACCwgAAMEEAACzCAAAAQAAAmsIAAIA_AADYQQAAxkIAACTCAAAUQgAAkEEAAKhBAAA0QgAAUMEAAGxCAAAcwgAAisIAAABBAACEQgAAkEEAAGzCAAAMwgAAuMEAAIjBAAAgQgAASMIAANLCAABwwQAAZMIAAIBBAAAwQgAADMIAAMDAAAB4wgAAUMEAAEBBAADgQAAAqMEAAPDBAABYwgAADEIAAFRCAAAEwgAAAMAAAOjBAACiwgAAMMEAACBBAADAQAAAgMAAABTCAACYwQAAKEIAAFRCAADwwQAACMIAAAhCAACQQQAAoEAAADjCAAAwwQAAlEIAAARCAAC-wgAAwEAAAETCAACAwQAAPEIAAFhCAAAAAAAAMMIAAGxCAAA0QgAAgsIAAFjCAADAwQAAIMEAAKBBAAAAQAAADEIAAOBBAABAwAAAAMIAAABAAADQQQAA-MEAALDBAACSwgAAwMEAACjCAAAQwQAAoMEAAJLCAACQwQAAuEEAADxCAACIwQAA8EEAAATCAAAAwQAA4MAAABxCAADgwAAA0EEAAEBBAABwQQAAAEEAAFDBAAAswgAACMIAACzCAABAQAAA4EAAAMjBAACAQQAAiEEAAIjCAADYQQAAkEIAAEBAAAAwwgAAgL8AAEDAAACwwQAAgD8AALBBAAAAQQAAjMIAAITCAACMQgAAYMEAAOBAAABYwgAAGMIAAMBAAADQQQAAjkIAAIRCAABEQgAAmMEAAEBAAABAQQAAgMEAAADCAACYQQAA6MEAAAAAAACawgAAeEIAAFBCAACowQAAVMIAAEBAAACSQgAAhkIAANjBAABMwgAATEIAAMDAAACAPwAAQEAAANLCAACQQQAA-MEAAADBAACgwAAASMIAAOBAAAAwwgAA6MEgADgTQAlIdVABKo8CEAAagAIAAFS-AABcvgAApj4AAMg9AACYvQAAqD0AAKC8AAAlvwAA1r4AAEQ-AADgPAAALD4AAJg9AAA8PgAAJL4AAOi9AACePgAAEL0AADw-AADuPgAAfz8AAIY-AAB8PgAA4DwAAIi9AACIvQAAZD4AAHy-AACgPAAAJD4AABQ-AAAcPgAAiL0AAII-AABwPQAA2L0AAIo-AADIPQAAVL4AAFy-AACmvgAA4DwAAOC8AABwPQAARL4AADQ-AAA0PgAAnr4AAFA9AAAQvQAAlj4AAIa-AAAQPQAAoDwAAPi9AACYvQAARz8AAMg9AAA8vgAAgj4AAFA9AAD4PQAAFD4AAGy-IAA4E0AJSHxQASqPAhABGoACAAD4vQAAVD4AAFC9AAAZvwAALL4AAHA9AADoPQAAyD0AAHC9AABkPgAAyL0AAJK-AADgPAAANL4AAEC8AAC4vQAA6D0AABc_AABwPQAAuj4AAOC8AACgvAAAoDwAAAS-AAAwPQAA4DwAAIC7AAAQPQAA-D0AAEC8AABwvQAAiD0AAKi9AABwvQAAuL0AABS-AAB8PgAAZD4AABy-AACAuwAAED0AABC9AADgPAAA4LwAAEA8AAAsPgAAf78AAIg9AABsvgAAgj4AABw-AABwvQAADD4AAMg9AABAvAAAQDwAAEA8AACgPAAAoLwAAKA8AADIPQAAcL0AAKA8AADgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=fnC76mCCOmQ","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7617742393061839362"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3523831267"},"8810301658072847895":{"videoId":"8810301658072847895","docid":"34-7-9-ZD9C37C3E917CBA60","description":"Correlates to page 114 of the Spectrum Math Workbook, Grade 5...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/762552/b4466afff926efff6128b6f8bc123116/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/dhzZOQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0S8JdihlAuM","linkTemplate":"/video/preview/8810301658072847895?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Spectrum Math Tutor: Models of Volume","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0S8JdihlAuM\",\"src\":\"serp\",\"rvb\":\"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-wL-APwF_AcBB_0CDAD7-vYAAADlD_z4CP0BAPb4APYBAAAAAgP59wkAAAD1BfkCAv8AABgAA_4FAAAAEhP-9fwAAAAGFgD6_gEAAOkBAQD2AgABCxUB8_8AAAAA__D8AAAAAfcMCf0AAAAACAn7BAAAAAAgAC2OTss7OBNACUhOUAIqhAIQABrwAXf1Mv7N-vj_0-8G_6f-3v-BGA__XR_wAcE92gHrGvwA6R71ANzl8gD2wN4AregaACvz6_9L6hcB8g0J_zb6BwD28R0BJ6siADDiQgIZ9fYBJDIz_u8MR_7p99oAAxvkBA8VJ__t6c7-_uHCABzhMwMSOC0DB-UK_zDLAgP1-Bf84_ETBSHzzQH8Hv0AJv84Bfb3__r7QOf9zAbgAjQE7_zrAPb5OhThAf_SBwwC7kUDyxr49_wf-fXr0fcFxDwfAvrmHP3q_fD4FQMEAyDK7wX6AvLy-s0DBgD8ABf43-4D2lL99dhPCgLxGCAIA8sHBSAALQGwADs4E0AJSGFQAirPBxAAGsAHLiCkviK42zxn81A5-g3TvZB4wzxscAe9jtm4veIQIL1mUEi9_g3aPV8tUjyc9OO8mx2hvkahm7zIZ6g8Jv_zPfEFt72gZSc8QNwlvsQrJDzz9m-7Meoqvrpw1jpBEhG98Ib0Paez0zx3mxy9snWaPaXL0bwt6AG8IKjouh11ETwz3AC98FUGPc2Edb3mNcC85pTgPebct7y20J88NUVgPjd8wb0x3iA7g0l2vZOluTvZ8I880s6PvecpobwQ3_C7hNjZPdT1nzx3nTc6SByNvSd1l7rKci-7YsQZPN-ucj2YDNG8WrZRuirP8rycXti8kl4EPv4CSz27TW48d_UKvqCfLj1c-VG8KtGIPYoNDD0spsg8Jgx0vV1Guz1MLLo8avCIvfjfSj1PvDk88KQFPnri1rvlgo687itqPbnyI70qk366_XGxPHhEtT21V3o8dxEGPvTeWD2IHme7qGK5vaZ0fzqqvGW6kh3AvPeYo7wV6Vk8FjtQPHCFJr1NJ768-GbFPb-ihj02RTa8xTVDPfhRDb4Jbyy7U4IVPOimqL3bXAq8vazkPJpaOz0lriM8z4UPPPvZPj1IU5i8oRGNu7mwJLzgwvS6Dj4DPec6yL0vM2w86-oIPGBmLj0zdTK8zpedPdRcM70v1-i76ezJPEwYzT1f6Jq5-_MjvJwZfTzvq9W7ngntPV0bxTy7e226rc77PA-X3LwcPJc6B-7gPXrcHrv2pQ66X1cdPTCB-712vji3Y8QvPZY3ET3rjZy7ygiePGs-OL0kiWk5ZmFUPbfxhz1K3LE5Mru4Ozeo3T2bbAQ4fzadPWglyLxGpvq49ZZXvVJmnrzndwO6bQDWvaIYrLr8ctg4EhXqvR24uTwBJ5w5d9cdvPofmr1E8Uo5m0xmPTRTVb1LoQs4K3OJPW0VCb3dKsY4LjGbPSMlhzyHAo25llMMPbs3UDyQyT65JdcDvQS0uD2qJ6q4bq6QPIl9ozv2i1q3B1yMPauBIT37x6c4LzIBPjStk70tGqg4atL3PGtsur3l-H04NNzbPOZdJb4GnOe4rS8XPVtElDy_Bh25bcX-vaLUPr0aL_S4kOqVPRGAibwn8AY54YgEPUnJAb03-Zo2YA2GPOUZKDuXIR04lS6oPSG4oD19HDC4jxT4u1vfwb0t73W4iZ_7u2aBW71MZfC35badvQT-EL1xVpG3HZcMPUkPQ75UMU25Iv_sPTUpBT7zflu4xJI3PV9oBTxVhbu4BqF8vWAcgTxhfLU3egyAvSmAPTzEWbe3IAA4E0AJSG1QASpzEAAaYCD6AEopL94UBSzM78IRNMnz564h0Aj_9sb_4SPcJPAe3sQeAAAY3S3kpQAAAAYEKBYWAOh_7vjdQwEeFbbG3BYXVD8oGfQQJETrDRzsyNnqOufuMwD75sBMLOKxFy5TOyAALfZpHTs4E0AJSG9QAiqvBhAMGqAGAAAAwAAAJEIAANhBAACwwQAAMEIAAFDCAACoQgAAAEEAAILCAADAQAAABMIAAGDBAAAUwgAAMMIAADDBAABUQgAAsMEAAHTCAAAMQgAA4EAAABBCAABMwgAAAEIAAERCAACowQAAUEEAAHTCAAAcwgAA0MEAAHDBAACAvwAAYEEAANBBAABgQQAAwMIAAIpCAADQQQAAmkIAAFBBAAAcwgAAMEEAAIjBAACwQQAATEIAANJCAAAAQgAAwEAAAHBCAACwQQAAgEAAAJjBAADAwAAAmMIAAOjBAAAwwQAAOEIAAHDBAACAPwAADEIAAFxCAABgQgAA6MIAAEDBAABEwgAAfEIAAFjCAAD4QQAANMIAAIA_AACawgAAoEIAAEDAAABowgAAQEEAAAAAAAD-wgAARMIAADjCAADYQQAAwEEAAKDAAACgQgAAoEAAALBBAABAQQAAEMEAAKDAAADGQgAAmEEAAHDBAAAwwQAAjEIAAATCAACywgAADMIAAFDCAACIwQAAQMAAAFhCAACQQQAAYMEAAEBCAAAMQgAAVMIAAHDBAAC4QQAAwEEAACBBAACAwQAAsEIAAJhCAABMwgAAIMIAACBCAAAAwgAAUMEAAIBAAABQwQAARMIAAGjCAADgwAAAhsIAAAzCAAA4QgAAIMEAAADCAADAwAAAUEEAAMjBAAAAQAAAUMIAABDCAABAwAAAQMAAAABBAABwQQAA-EEAACDBAAAwQQAAJMIAAHBBAAAgwQAAiEIAAIjBAACAPwAAQMAAACjCAABgwQAAKEIAABhCAACAPwAAcMEAAOBAAAA0QgAA6EEAAKhBAAAQwgAAgD8AAGzCAACQQQAAEEEAAEDAAABowgAAFEIAAMDAAAAMwgAAgL8AAJRCAAA4QgAAPMIAAMBBAACIQQAAAEIAACjCAAAQwgAAGMIAAABBAACSwgAAgEAAAEBBAADYwQAA2MEAAJDBAAAgQQAAEEIAAADAAACQwQAAgMEAAGRCAAAQwQAAfMIAAJBBAAD4QQAACMIAAOBBAACgQAAAqMEAACDBAAAgwQAAOEIgADgTQAlIdVABKo8CEAAagAIAAMi9AABQvQAAsj4AAMg9AAAMPgAAuD0AALi9AAAlvwAAxr4AAEQ-AAC4vQAANL4AAFA9AAA0PgAAiD0AAHC9AACOPgAAML0AAJg9AADyPgAAfz8AACQ-AACCPgAAEL0AAHC9AADOvgAAyj4AAO6-AAAQPQAAnj4AAFw-AACaPgAAdD4AADA9AACAOwAABL4AAIA7AAAwvQAAsr4AAI4-AACqvgAAXL4AADA9AABQPQAAbL4AADQ-AACGPgAAor4AABC9AAAUvgAATD4AAL6-AACqPgAAbD4AABw-AABAvAAAST8AAIA7AAB8vgAA2L0AAHC9AAD4PQAADD4AAOC8IAA4E0AJSHxQASqPAhABGoACAABQPQAAUD0AAAy-AAAVvwAAuL0AABC9AAA8PgAAVD4AAKA8AACmvgAAnr4AANa-AABQvQAA6r4AAIA7AACAOwAAQLwAAA8_AAC4vQAAVD4AAFA9AACgPAAAFL4AABC9AAAQPQAAHL4AAAy-AABwvQAAiD0AAJi9AACgPAAAJD4AAOi9AABwvQAALL4AAFy-AAC2PgAAML0AAK6-AADIPQAAUD0AAIi9AACgPAAA2D0AABC9AADoPQAAf78AAGS-AABcvgAAmD0AANg9AACgPAAAcD0AAEy-AABcPgAA4DwAAFC9AAAEPgAAgDsAAFQ-AACoPQAAqD0AAES-AAA0viAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=0S8JdihlAuM","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8810301658072847895"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3518666499"},"4866162418819419364":{"videoId":"4866162418819419364","docid":"34-1-10-ZD6B3089A3B3DCA91","description":"complex analysis csir net, conformal mapping in complex analysis bsc 3rd year, conformal mapping in complex analysis btech 1st year, conformal mapping in complex analysis mapping...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2711143/fc5b76a2bf9038e62ed7ca702f0ed975/564x318_1"},"target":"_self","position":"16","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DV96UNFC0qvc","linkTemplate":"/video/preview/4866162418819419364?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Conformal mapping in Complex Analysis | Msc. Mathematics| Spectrum of Mathematics #complexanalysis","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=V96UNFC0qvc\",\"src\":\"serp\",\"rvb\":\"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_AgD4_PoHAQb9AQsKBwD3AQEA9QX1_fUC_wD5-PcBAwAAAAUO9AoFAAAAAfYBBPX9AQAGBP0BBAAAABkC_QD3AAAABRUA-v4BAAD2-gb5AgAAABMEAf3_AAAA8PwJ_P7_AAD5EP0HAAAAAA4QAgf_AAAAIAAtWSbXOzgTQAlITlACKnMQABpg7g8AKv8K3d8jM-bpEdMABRDg3PjXDwDmBQAPFvTVAyLu7PUb_xu8Jua-AAAA_vXbJPkA3FXf9LYSJ_AFxtPkJyN_8Qb3CiMO4b4bDfsDBgfk6woOAPP48xo3E-BH-B89IAAt7sVIOzgTQAlIb1ACKq8GEAwaoAYAADhCAABUQgAAPEIAACDCAAAUQgAAoEAAAGBCAABgQQAAQEEAACBBAAC4QQAAqMEAACzCAAAAwAAAeEIAAADCAACAQAAAkMIAADhCAAAkwgAAgMEAALjBAABYwgAA-EEAAIhBAAAwwQAAmMEAAJzCAAAAAAAAoEEAABDBAAAIQgAAhsIAABBBAAB4wgAAgEAAAMDBAADeQgAAwEAAACxCAACIQQAAQMEAACRCAAA8wgAAIEIAAOjCAACwwQAAqEEAACBCAAAEQgAAaMIAALBBAACAPwAAwEAAAOBAAADIQQAA1sIAALjBAADAwAAAcEIAAMBBAACcwgAAMMEAAEzCAAD4QQAAIMEAAAjCAAAQwgAAQMIAAEjCAACyQgAA_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-AABwPQAAQDwAAFC9AABQPQAAmD0AAEe_AAB8vgAAQLwAAAS-AABcvgAAUL0AABw-AACOvgAAJL4AAKo-AACovQAABD4AAOo-AAB_PwAAgDsAAMI-AAA0vgAAiL0AALi9AAC4PQAAuD0AAJa-AABQPQAAuj4AAKC8AABAvAAAuD0AAFy-AAAcPgAARD4AAIi9AAADvwAAgr4AAHS-AAA8PgAAPD4AAHC9AABsvgAAMD0AANY-AACuvgAAmL0AAKK-AACIvQAAjr4AAJ4-AABsPgAAqL0AAMi9AABTPwAA2D0AAIa-AAAsPgAAPL4AAHA9AACIPQAAML0gADgTQAlIfFABKo8CEAEagAIAAIa-AAAkPgAA-D0AAA-_AAAUvgAAML0AAEQ-AABQPQAA-D0AAOg9AAAEPgAARL4AALg9AACSvgAAiL0AALg9AAAMPgAAKz8AAJg9AAA8PgAAbD4AAJg9AAAQvQAAqL0AAFC9AAA0PgAAUL0AAI4-AACIvQAAHL4AAIg9AAAMPgAAoLwAAKA8AAAUPgAAiL0AALY-AACCPgAAnr4AAAS-AACuPgAA2L0AAIA7AAAsvgAAcD0AALg9AAB_vwAADD4AAKi9AACIvQAAJD4AAKA8AABwvQAAuD0AAGw-AAAMPgAAiL0AAFA9AACYPQAAMD0AALi9AADivgAAHL4AAKo-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=V96UNFC0qvc","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":960,"cheight":720,"cratio":1.33333,"dups":["4866162418819419364"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"16320352635127303135":{"videoId":"16320352635127303135","docid":"34-4-7-Z91557E2A7AC6C7E0","description":"Real analysis Theorems and Proofs The set of integers is not an open subset of R. Content : Real Analysis Branch : Pure mathematics #realanalysis #realandcomplexanalysis #csirnetmathematics #csir...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/404986/2b3c084bc04dce0185d14cfa0982f6a3/564x318_1"},"target":"_self","position":"17","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dp-JWALsX8NM","linkTemplate":"/video/preview/16320352635127303135?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"csir net mathematics Real Analysis| Z is not an open subset of R #spectrumofmathematics","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=p-JWALsX8NM\",\"src\":\"serp\",\"rvb\":\"EqwDChQxNDM5ODg2ODk2NDI2MjkxNzU1MgoTNjg3ODU2MDI2MDU2NDA2NjE3NAoTNTk2MDQ5MjUwNDI1NTY3NjMwMgoTNDE3MjI1NjUyMTA0OTM5MTA0MgoTNzk2OTc0NzQ0MzUxNjA5NTM3NwoTOTgwMDE2OTU2NjI2NjQ4MTA1NQoTMjM1ODUyOTY5NzM5ODIwNTY3MwoUMTE5MzE1MzA2NTYzNDE0MjY2MjQKFDE1NDUxOTUzOTc5NDgwMTA0NjI2ChM1NTI0Mjg3MjIwNjkyNzc3NDEzChQxMzc0Mjc3OTE5OTM3NzA3Njk4MwoUMTYxMzU3MDYyNzUwNTc1MDIxMTcKEzc2MTc3NDIzOTMwNjE4MzkzNjIKEzg4MTAzMDE2NTgwNzI4NDc4OTUKEzQ4NjYxNjI0MTg4MTk0MTkzNjQKFDE2MzIwMzUyNjM1MTI3MzAzMTM1ChMxNzk0ODI2OTIyNDQ3NjM2ODY5ChQxNTMyMjY2MTE3ODA1MzkzMTkyMwoUMTIzMzMyNjI5MjIyNTE1MjcyMzkKEzc4MDY1NjIzMDgyOTE0MTM2OTYaFgoUMTYzMjAzNTI2MzUxMjczMDMxMzVaFDE2MzIwMzUyNjM1MTI3MzAzMTM1aq4NEgEwGAAiRBoxAAoqaGhycGZ2d2xpcnJnbGZmY2hoVUNCTnhfdy00Ymc2V3N3MkI1OGtDaUVBEgIAEioPwg8PGg8_E3mCBCQBgAQrKosBEAEaeIH--wL0_QMA_goHAQQF_gEM_vsI9___APUF9f32Av8A-PYEAAwAAAD-B_QH_AAAAPX8CQv0_wEABALtBgIAAAAZAv0A-AAAAA0Y-wL-AQAA_f8CBgT_AAAHAgX4_wAAAPv9Av39_gAA_gr5CwAAAAAABPUEAAAAACAALRxy2zs4E0AJSE5QAipzEAAaYO4TABMKAdHN_jTWAO_j__EY7-Tz6AEA7OsA-vjx2O4b39snG_8t6R3pwAAAAP3u8i0MAL1U_OHDDB4EC8ru1in7f_P34fAH89_ODRMSFRMO8LwGBgDfB-0PBPK4L_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-AAA0vgAAyD0AACw-AABMvgAAuD0AAOi9AAANvwAAVL4AAEC8AACovQAA2L0AAMg9AADoPQAAbL4AAAy-AABMPgAAoDwAAIY-AADSPgAAfz8AACS-AACWPgAAML0AADA9AACgvAAAoDwAAIo-AACAOwAAqD0AAHQ-AACIPQAAyL0AAIg9AACovQAA6D0AANg9AABAvAAAtr4AAEy-AAAEvgAAUD0AADA9AABsvgAAHL4AAOC8AAC2PgAAmr4AAHC9AAB8vgAA4DwAADA9AACGPgAAcD0AAKi9AAAQvQAAIz8AAFw-AACoPQAADD4AAIC7AACIvQAAUD0AABy-IAA4E0AJSHxQASqPAhABGoACAAD6vgAAND4AAIg9AAA1vwAAHL4AABw-AADCPgAAqL0AAAQ-AABUPgAAML0AAIK-AADoPQAAUL0AAKA8AAAwPQAA2D0AACU_AAAQvQAAij4AALo-AABQPQAAmD0AAEA8AADgvAAAND4AAIA7AACaPgAA-L0AAAy-AABwPQAAMD0AAOA8AAB0vgAAyD0AAJi9AAB8PgAAUD0AAGS-AACovQAA-D0AAEA8AACWPgAA-L0AAEw-AAAwvQAAf78AAFw-AAC4vQAAPD4AAAQ-AAAMPgAAUD0AAKo-AADoPQAAFD4AAFC9AAAkPgAADD4AALi9AAAEPgAANL4AAFw-AABkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=p-JWALsX8NM","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16320352635127303135"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"1794826922447636869":{"videoId":"1794826922447636869","docid":"34-0-13-ZFC67575D28340B23","description":"To find out more about Spectrum's best selling math books, visit our website here: https://www.carsondellosa.com/spectrum Correlates to page 94 of the Spectrum Math Workbook, Grade 6...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3743849/7a69238b24712cb35faa3f674d57f160/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/ep43JAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D6fYn6qV-GT8","linkTemplate":"/video/preview/1794826922447636869?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Spectrum Math Tutor: Dependent and Independent Variables","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=6fYn6qV-GT8\",\"src\":\"serp\",\"rvb\":\"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_QL7BQDz-_sA_wP_AQwF_wL3AAAA9gD19QIC_wD28Qn8_gAAAAcIBf0CAAAA_gjwAvf-AAAO_f4DBAAAABH-APn_AAAADRf7Av4BAAABBgcG9wIAAQ7-AQgAAAAA9f4EAQEAAAD7EQkMAAAAAAAAAgYAAAAAIAAtWULiOzgTQAlITlACKoQCEAAa8AF_EDAA-Qn7AcgC5wGuA_oAlyPo_w370gDUSBb_0QfdAenm1f-47eb_W-EFALMvHgEF99r_JwgI_w8HJwAkFQUA8ucCADUE9wMIGRn_ExPWAQ0PCf_YBAL_IvbyA8sV-P4ZMyr8n9_0AAfI_wJA5wH_LgcQAxnzJAIduwT-yfcc_-EA_AAq8fIG3QoD_-oXPwHnBAH8_Cfb-QzYCgP79OL85NTf-x__xPvl6fMEDe0DBAUG3vvn0xT8BwTwAtINI_X65xv-1w_l_NcTDvQXEwYU9B0CDQvh_P4tFPYO3a8V7u7y-vz88RPq3voJHQ0_EwsgAC3gaQk7OBNACUhhUAIqzwcQABrAB6eVwr6-6609_qMlvElSTb1XP6Y9GNkEvTVFQL6Dlbk8rKIJPKjoQz0jLC673HWgvaLRfb05FzW8liCTPSVDqT1PbgU9jl4HvHXJKL7aVJ09k5CjPMLZLb7Yk0q9AgIHvcE6Pj6JrhA95StBvXnzSj31X8w8AXmAPG4IRDyY2Uy92zPouywO571MsNM8RGAWvaPIij6oFbu9PNKqPKK1Ej68GrW9s3oHPTJP-Lywdm-8uZWUPJkp7b3VKQs88qG6PPc_ED4XoG28n0nyOym0LD3VqiI9yDb6PDU_o73GKko90BbGvGb3RL3I68G8Ozxfu1YjkD0ygR-6t1JePVyEszxP-lO6uM6_vPB_bD1mqcA95WUJPEhRF74bNE88swxxPB0eUj56QYo9wHp9O6ky7D3xP4O9ERWyO8QQND0EXt47Z_9NPJrShT03LxM9QQsJPDISa7wz9Ne7uFLTuzIte71Cnx69RHS-PKo4j70hI1s9szuoOz9wZT4XHV-9hPW9u3PGhj3A-IM9OK7zuzO707yEI6291A7nOBb2lD2utie9vnl9u4pknj0gLhQ9eGa8uinoFj7IMlM9KtnaujF2R706voy9sH03vKR9vT1zyYe9L8gvO5fiKr3L3Q66QNTku1hX5T19tkk9KdYAu5xkUDyPfYo9LssXvC8EbzwfW0A9_Xt4uzWGnz0_CDy9UGyJO9gAGz0N7h09Sb0Gu0PSITxpZhc9jhG_O0Gmmz1qJKO9DEQJu7gduj1p_AK8Wva8OWPyJr1i5rE8B5R_OCYDWz1pcUa88oRzOypih73w65E8DsS9OKzxiLycd6K9boVROdH6Bb2WlcO6ZeTMuPFrj70yv6S91aMPOkV9N7yd9lQ94jJ_Ooae3jurdWK9SdX_uag8VT0rrCo9FZmTuPmfWzv_nzm9DobKN8psgL04LTi9k5KZOA8NCz21lU285OGouCXXA70EtLg9qiequDyGhzyTMHg8sX-ruJVBWrwSaZs8ITWwOD0jVr38_SK9nL78t4MLk72Tqu29z73qNcnLej36thC-3VOkuDM2tLz8XIi9yq36ODZiHL1CjsK9wHe7N9CiDT1gPGa6c-InuJBE1LzTZjw9vLnut42T57zk0-u7dFd1OPPPtz37TVI9xCwiuU7BkL0_vk69U05lN29FZ720Fpu9TnD4t0FJkb2SJbO8E742t51tyb3U1BK-Hz6RuIRiiz0yOMo8IGuDOFmWeTzFDGM9G7iOuFXXxr27mVG8-Zpbt4ERajwt-CG85Gv-NyAAOBNACUhtUAEqcxAAGmAF-ABH9Bf53O8y39vgGusO3vG0PNkU__zD_-InvRnlBsyw_xEAQawA9qEAAAAQ9-QhBQDdf-_w1SQMKUTL0L72E28uHzSeTD0sqwHTLO8VI_bjJSQAC-rCG0HXuSv_F0ogAC1_dhU7OBNACUhvUAIqrwYQDBqgBgAA6EEAAFBBAACYQQAAqMEAAP5CAACAwAAAYEIAALhBAAAQQQAA4EAAAIhBAAAUwgAA4MEAAIC_AADoQQAAYEIAAODBAACIwgAAgD8AAChCAAAAQQAAisIAAIzCAAAQQgAAAMIAALjBAABwwQAAVMIAABDBAADAwAAAIMEAAChCAACAwAAAgL8AAPjBAADYQQAA4EEAALRCAACQwQAAQEEAAOhBAABwwQAAJEIAAIDBAABAQQAA8MEAAI7CAAAYQgAAiEIAAHDBAAAUwgAAQMEAALhBAAAwQQAA4EEAADDBAACewgAAYMEAAOBAAABYQgAAYMEAALjCAACAwQAAIMIAAMBBAADAwgAA8MEAAEjCAAAAwgAAHMIAAFhCAABgQgAATMIAAIhBAACQQQAAtMIAAHDCAAAYQgAAZMIAAKDAAADAQQAAVEIAAOjBAACwQQAAMMIAAKJCAADgQAAAaEIAAOhBAAAQwQAABMIAALBCAACAvwAAXMIAAPjBAADgwAAAisIAAIA_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-AAAUPgAAoDwAAN4-AAB8PgAAb78AAPa-AABMPgAALL4AAKq-AACYvQAApj4AANi9AAAMvgAAyj4AAHC9AACYPQAA5j4AAH8_AACgPAAAkj4AAEA8AACIPQAA6L0AAJY-AACGvgAA-L0AAHw-AACOPgAAfD4AAIC7AAAcPgAAUL0AAFC9AAA0PgAAgDsAAPK-AADovQAAlr4AAEC8AABAPAAAMD0AAIC7AACgvAAAmj4AAOq-AAAMvgAAxr4AAK4-AADCvgAAmj4AABA9AAAsvgAAcL0AAFU_AABAPAAAir4AAIg9AADgvAAAuD0AAEQ-AADIvSAAOBNACUh8UAEqjwIQARqAAgAADL4AAAQ-AADgvAAAFb8AAKC8AAC4PQAAmD0AABw-AACIvQAAEL0AABS-AABcvgAAML0AAGS-AAAUPgAAUL0AAIi9AAAzPwAAML0AAK4-AABwvQAA6L0AAFC9AAAUvgAAUD0AAEy-AABQvQAAoLwAAEA8AACIvQAAgLsAAHA9AABQPQAAgLsAABQ-AAB0vgAAMD0AAEw-AACKvgAABD4AADA9AADovQAAmD0AAKi9AADovQAA4LwAAH-_AACAuwAAEL0AAKC8AAAUPgAA6L0AAHA9AACgvAAATD4AAKA8AABAPAAAcD0AAIC7AAA0PgAAUD0AAKC8AABAvAAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=6fYn6qV-GT8","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1794826922447636869"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1592182760"},"15322661178053931923":{"videoId":"15322661178053931923","docid":"34-3-5-ZB8ED127D076BC7E7","description":"Correlates to page 69 of the Spectrum Math Workbook, Grade 6...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3321466/b10c647a93e4ac3ad2687e63f8693ea8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/zFbqEAAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJM06kjvAD_0","linkTemplate":"/video/preview/15322661178053931923?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Spectrum Math Tutor: Problem Solving in the Coordinate Plane","related_orig_text":"Spectrum of Mathematics","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Spectrum of Mathematics\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JM06kjvAD_0\",\"src\":\"serp\",\"rvb\":\"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_E4wBggQkAYAEKyqLARABGniB-v_89wH_APX0-wL5BP8BGfrwBPQBAQDa9Pf2B_kDAPb4APYBAAAAAv34AgkAAADxBuwK_gAAABYE9AD1AAAAEQf-CPYAAAAHDPr9_gEAAP3_AgYE_wAAEwgD8_8AAAD6_P4EAQAAAP4L-wD1_QAA_QsG-P8AAAAgAC3LM847OBNACUhOUAIqhAIQABrwAX3m6__D--H_2vbq_7P7twCfDiD_QAAH_7kqEAHi-f0A3BACAOT9AAAr6Qb_rggB_xzR7_8A1fQAQ9f7APvN6gHdGkYANOTqAAYPDgI33Nj_FxI3_8bhEQApBwL_Gg0O_w9JEvsOEwsA5NQEAWcMQf4CC-8BEMrv-_3m_wDA9_cI3e_t_fzt7AUfNAT83PQ2COw_AAEsPvH-4yXlAksU3v7i4OsEORThAQAg__bK-ggK9sP9-CsF_QryCff29X8L-iTzEP7oFgECCQ4K_iDK8AUHwPgDJQrmCf3f4Q_h3-r92A4B7-YtC-339hYPJtQECiAALX2OATs4E0AJSGFQAirPBxAAGsAH0c-cvrWTNz3RHi-9QqTwvHFELT0J5sO8_-scvnSPVr2FdnO8SRPPPSImFzuwr3W9mx2hvkahm7zIZ6g8y7iuPWEh6bxwSWk8z3FEvVYpPT1khXE981kOvjhvNz12-yy7nRidPQh8mbx_xh68wsmMPS9SQ718Gbs8q51XPdLk_Tzvng87pJiTumo0ubqRd_O8rDxhPr87I708WQA9VmynPf8IwzzVUsq8xTfUPZrxsjvYiPs8peI6vcEqKLxXqUq9D_yOPfyMKz3fIPU8CFP5vNSe0r3w3QY9833nPNlA_DqJoMW8jAUvvcs2S71wuuG6D3avPYoDJrtGUSK6w9T2vVsFpr0bAGA8Ka6qPJZKrj34P9m7VIP6PEJIEb09ray8nyikPUb6Qz2no608bePvPRoOxb22uZY80ICVPUOQgzzBfZG7duEHvSoynz0ZtGs8AHVePYNMN73EN1A6D3uWvUbXYDxtySq8VXCTPfWq47vn0_Q7RSC4vaecJT1qwrY8PRRgPWuW8LznzTw8RYDzPbxhtr17Lx078gcHuydp_rwJ3N-85i5YvR7f_j1crCi7aUZVvR4CojxzAC46pj-QvXzgurvAnic7Vms8vFKvsL1ixxg7vakovXlRpT1QunK66AThOy8WRr0C0A88pn3zPUNUBDx41d47QJ5CPaIlj7yCNZQ7lWulPHmLnD1l_nI7jSN7PFXvOrywkUE7oI0sPsuuBb0gAg25gBvYPGhvtb10O0a5IX3qO19Z7buAuwk72C7tPOfqPb1TdSa5uIV4Pejrw7wrNqc4Xcp0PYTgJzxqSE258uVqPdy0rj3NjeS42gIyvsWDN73vMoo335hUPdO3kT1qRco3lGeevclqhL2Z5n85PPUovSlkfb34F5-5zDVWvdaL4ztGSgC56nYGPlLeXT03OPg1AXRuvfnihr3jiYM4wULcPJMYyb1FNtQ2pN-evfT4_T2gCBU44Nw6vezdjz0cpYC4Cd8bPYSPNz1cKfy4hA2_PSsW3z3zDaK3VZmUO5NMgz2UD5m4ge2LPQjKTb3nrKA4cHATPRFcQDzq3YA5a_HpvXnWJLzuL2A2btRUPLREnbwz5wA4yF86PtyVwjzNr0s4YA2GPOUZKDuXIR044tBWPdmKhz2hsAS5GZtsvYmE5by0Ss43vJDOvTeCmb2CYo-4iOdXu8lUBj08WBi4SfeOPK1QxL1znPK4YazKPHjTnT2TC4U4wYCPPaP6uD2nbYi4ZXjkur0ppr2YlpQ32OsCvSqjNj2Y8m00IAA4E0AJSG1QASpzEAAaYALyADsJLNIn-RnR88wOGd7Ow54atCH_Ctf_DzbzFgcW0s_03wAw2iXwnwAAAPD0DfE7AOJ___MsSgL_8tnosyP_MAoBPO4GJ1jb_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-MEAAEDAAAAYQgAAdEIAAIhBAACiQgAASEIAAOhBAABUwgAAoMEAAFBBAADIwQAAhkIAAMDBAAAowgAAsEEAAADCAAAQQgAAQMEAAEBAAABAQAAAQEAAAFhCAAAAwQAAiEIAAHBBAADowQAA2MEAAJjBAAAEQgAATMIAAJzCAACgQAAAgMEAAGzCAACYwgAAiEEAANBBAABQwgAAIMEAAIbCAABEQgAAgMAAAHzCAABYwgAAcMEAAIBAAABMQgAAiMEAAGDBAACIQQAADMIAAADAAAAwQQAAYEEAALjBAAAsQgAAMEEgADgTQAlIdVABKo8CEAAagAIAAJ6-AAC4vQAAxj4AAFQ-AAAwvQAAZD4AAIg9AABTvwAA8r4AAFQ-AACovQAAqL0AAII-AACgvAAA2L0AAEC8AACOPgAAoDwAAGw-AAAPPwAAfz8AABQ-AAAkPgAAVD4AAHC9AACqvgAAzj4AAGy-AACAuwAALD4AAEQ-AADoPQAAoLwAAGw-AAAwvQAAJD4AABA9AACovQAAmr4AANi9AACSvgAAuD0AADQ-AABAPAAAoDwAAIg9AABEPgAAwr4AAFA9AABcvgAAjj4AAJa-AAC2PgAAhj4AAFS-AAD4vQAAaz8AADw-AADivgAA6L0AANi9AABUPgAAuD0AAFy-IAA4E0AJSHxQASqPAhABGoACAACgPAAAmD0AAFA9AAAxvwAANL4AAOC8AADoPQAAyD0AAHC9AACYPQAA6L0AAKa-AAAMvgAAtr4AAKA8AAC4vQAA4LwAAAs_AACIPQAAoj4AAKi9AADgvAAAXL4AAIi9AACIPQAANL4AAMi9AAAQvQAAqD0AAIi9AAAwvQAA-D0AAIA7AABAvAAAoDwAACy-AAC6PgAAlj4AALK-AADIPQAAQLwAAIA7AAC4vQAAEL0AAIi9AAAQPQAAf78AAAQ-AABwvQAAUD0AABA9AAD4vQAATD4AAJi9AAAwPQAAgLsAAEA8AAAwPQAAML0AAPg9AACIPQAA4DwAAHC9AAAsPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=JM06kjvAD_0","parent-reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15322661178053931923"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3788996168"}},"dups":{"14398868964262917552":{"videoId":"14398868964262917552","title":"Basis and Dimension of vector space| Vector Spaces| \u0007[Spectrum\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007]","cleanTitle":"Basis and Dimension of vector space| Vector Spaces| Spectrum of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=iQoJXjsHODs","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/iQoJXjsHODs?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":957,"text":"15:57","a11yText":"Süre 15 dakika 57 saniye","shortText":"15 dk."},"date":"6 mayıs 2024","modifyTime":1714953600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/iQoJXjsHODs?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=iQoJXjsHODs","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":957},"parentClipId":"14398868964262917552","href":"/preview/14398868964262917552?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/14398868964262917552?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"6878560260564066174":{"videoId":"6878560260564066174","title":"How to find basis of a vector space | Vector Spaces | Echelon Matrix | \u0007[Spectrum\u0007] \u0007[of\u0007] \u0007[Mathema...","cleanTitle":"How to find basis of a vector space | Vector Spaces | Echelon Matrix | Spectrum of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=8WAQ_33xrXM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/8WAQ_33xrXM?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":553,"text":"9:13","a11yText":"Süre 9 dakika 13 saniye","shortText":"9 dk."},"date":"19 haz 2024","modifyTime":1718755200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/8WAQ_33xrXM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=8WAQ_33xrXM","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":553},"parentClipId":"6878560260564066174","href":"/preview/6878560260564066174?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/6878560260564066174?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5960492504255676302":{"videoId":"5960492504255676302","title":"Complex Analysis for csir net \u0007[mathematics\u0007] | Msc. \u0007[Mathematics\u0007] | \u0007[Spectrum\u0007] \u0007[of\u0007] \u0007[Mathem...","cleanTitle":"Complex Analysis for csir net mathematics | Msc. Mathematics | Spectrum of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=IsXh-ih2Rgc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/IsXh-ih2Rgc?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":273,"text":"4:33","a11yText":"Süre 4 dakika 33 saniye","shortText":"4 dk."},"date":"3 haz 2024","modifyTime":1717372800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/IsXh-ih2Rgc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=IsXh-ih2Rgc","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":273},"parentClipId":"5960492504255676302","href":"/preview/5960492504255676302?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/5960492504255676302?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4172256521049391042":{"videoId":"4172256521049391042","title":"Limits of Complex Function | Analytic Function Engineering \u0007[mathematics\u0007]| \u0007[Spectrum\u0007] \u0007[of\u0007] \u0007[Ma...","cleanTitle":"Limits of Complex Function | Analytic Function Engineering mathematics| Spectrum of Mathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=VhqqHgzU46Q","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/VhqqHgzU46Q?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":235,"text":"3:55","a11yText":"Süre 3 dakika 55 saniye","shortText":"3 dk."},"date":"6 şub 2025","modifyTime":1738800000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/VhqqHgzU46Q?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=VhqqHgzU46Q","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":235},"parentClipId":"4172256521049391042","href":"/preview/4172256521049391042?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/4172256521049391042?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7969747443516095377":{"videoId":"7969747443516095377","title":"Continuity of Complex Functions Examples | Msc \u0007[mathematics\u0007] #spectrumofmathematics","cleanTitle":"Continuity of Complex Functions Examples | Msc mathematics #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6Mf2eWhYFOU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6Mf2eWhYFOU?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":243,"text":"4:03","a11yText":"Süre 4 dakika 3 saniye","shortText":"4 dk."},"date":"28 nis 2025","modifyTime":1745798400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6Mf2eWhYFOU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6Mf2eWhYFOU","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":243},"parentClipId":"7969747443516095377","href":"/preview/7969747443516095377?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/7969747443516095377?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9800169566266481055":{"videoId":"9800169566266481055","title":"Laurent Series Engineering \u0007[Mathematics\u0007] | Complex Analysis #spectrumofmathematics","cleanTitle":"Laurent Series Engineering Mathematics | Complex Analysis #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=wI2N-7zlUMY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/wI2N-7zlUMY?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":238,"text":"3:58","a11yText":"Süre 3 dakika 58 saniye","shortText":"3 dk."},"date":"12 mayıs 2025","modifyTime":1747008000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/wI2N-7zlUMY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=wI2N-7zlUMY","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":238},"parentClipId":"9800169566266481055","href":"/preview/9800169566266481055?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/9800169566266481055?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2358529697398205673":{"videoId":"2358529697398205673","title":"Laurent's series in complex analysis| Complex Analysis #spectrumofmathematics","cleanTitle":"Laurent's series in complex analysis| Complex Analysis #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=xDcDmUAzCxE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/xDcDmUAzCxE?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":146,"text":"2:26","a11yText":"Süre 2 dakika 26 saniye","shortText":"2 dk."},"date":"12 mayıs 2025","modifyTime":1747008000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/xDcDmUAzCxE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=xDcDmUAzCxE","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":146},"parentClipId":"2358529697398205673","href":"/preview/2358529697398205673?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/2358529697398205673?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11931530656341426624":{"videoId":"11931530656341426624","title":"Laurent Series Engineering \u0007[mathematics\u0007]| Complex Analysis #spectrumofmathematics","cleanTitle":"Laurent Series Engineering mathematics| Complex Analysis #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=TKhyPyJqEFk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/TKhyPyJqEFk?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":201,"text":"3:21","a11yText":"Süre 3 dakika 21 saniye","shortText":"3 dk."},"date":"8 mayıs 2025","modifyTime":1746662400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/TKhyPyJqEFk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=TKhyPyJqEFk","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":201},"parentClipId":"11931530656341426624","href":"/preview/11931530656341426624?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/11931530656341426624?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15451953979480104626":{"videoId":"15451953979480104626","title":"\u0007[Spectrum\u0007] \u0007[Of\u0007] \u0007[Mathematics\u0007] Linear Algebra #linearalgebra #mscmaths #\u0007[mathematics\u0007] #\u0007[math...","cleanTitle":"Spectrum Of Mathematics Linear Algebra #linearalgebra #mscmaths #mathematics #maths #shorts","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/BCo1BtN9T0M","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BCo1BtN9T0M?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":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQEphc3dpbmRlckthdXIta2s1a2w=","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":16,"text":"00:16","a11yText":"Süre 16 saniye","shortText":""},"date":"5 kas 2025","modifyTime":1762300800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BCo1BtN9T0M?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BCo1BtN9T0M","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":16},"parentClipId":"15451953979480104626","href":"/preview/15451953979480104626?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/15451953979480104626?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5524287220692777413":{"videoId":"5524287220692777413","title":"Eigen Values & Eigen Vectors | Msc.\u0007[Mathematics\u0007] #spectrumofmathematics","cleanTitle":"Eigen Values & Eigen Vectors | Msc.Mathematics #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NzSogDt2xg0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NzSogDt2xg0?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":464,"text":"7:44","a11yText":"Süre 7 dakika 44 saniye","shortText":"7 dk."},"date":"15 tem 2025","modifyTime":1752537600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NzSogDt2xg0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NzSogDt2xg0","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":464},"parentClipId":"5524287220692777413","href":"/preview/5524287220692777413?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/5524287220692777413?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13742779199377076983":{"videoId":"13742779199377076983","title":"Open mapping theorem in Complex Analysis #complexanalysis #spectrumofmathematics","cleanTitle":"Open mapping theorem in Complex Analysis #complexanalysis #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RQ8rkn37aJ0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RQ8rkn37aJ0?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1871,"text":"31:11","a11yText":"Süre 31 dakika 11 saniye","shortText":"31 dk."},"views":{"text":"6,5bin","a11yText":"6,5 bin izleme"},"date":"19 eyl 2019","modifyTime":1568851200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RQ8rkn37aJ0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RQ8rkn37aJ0","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":1871},"parentClipId":"13742779199377076983","href":"/preview/13742779199377076983?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/13742779199377076983?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16135706275057502117":{"videoId":"16135706275057502117","title":"Differentiability of Complex Valued Functions | Msc \u0007[mathematics\u0007] #spectrumofmathematics","cleanTitle":"Differentiability of Complex Valued Functions | Msc mathematics #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=NUoeKgdGgGI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/NUoeKgdGgGI?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":314,"text":"5:14","a11yText":"Süre 5 dakika 14 saniye","shortText":"5 dk."},"date":"9 mayıs 2025","modifyTime":1746748800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/NUoeKgdGgGI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=NUoeKgdGgGI","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":314},"parentClipId":"16135706275057502117","href":"/preview/16135706275057502117?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/16135706275057502117?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7617742393061839362":{"videoId":"7617742393061839362","title":"\u0007[Spectrum\u0007] \u0007[Math\u0007] Series from Carson-Dellosa Publishing Group","cleanTitle":"Spectrum Math Series from Carson-Dellosa Publishing Group","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fnC76mCCOmQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fnC76mCCOmQ?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":"d3d3LnlvdXR1YmUuY29tO1VDM0dVSGotaHNmVERCaVVXaVRSUWxJdw==","name":"Carson Dellosa Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Carson+Dellosa+Education","origUrl":"http://www.youtube.com/@CarsonDellosaPublishingGroup","a11yText":"Carson Dellosa Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":68,"text":"1:08","a11yText":"Süre 1 dakika 8 saniye","shortText":"1 dk."},"views":{"text":"13,4bin","a11yText":"13,4 bin izleme"},"date":"6 kas 2014","modifyTime":1415232000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fnC76mCCOmQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fnC76mCCOmQ","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":68},"parentClipId":"7617742393061839362","href":"/preview/7617742393061839362?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/7617742393061839362?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8810301658072847895":{"videoId":"8810301658072847895","title":"\u0007[Spectrum\u0007] \u0007[Math\u0007] Tutor: Models of Volume","cleanTitle":"Spectrum Math Tutor: Models of Volume","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0S8JdihlAuM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0S8JdihlAuM?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":"d3d3LnlvdXR1YmUuY29tO1VDM0dVSGotaHNmVERCaVVXaVRSUWxJdw==","name":"Carson Dellosa Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Carson+Dellosa+Education","origUrl":"http://www.youtube.com/@CarsonDellosaPublishingGroup","a11yText":"Carson Dellosa Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":60,"text":"1:00","a11yText":"Süre 1 dakika","shortText":"1 dk."},"views":{"text":"3,9bin","a11yText":"3,9 bin izleme"},"date":"11 ağu 2014","modifyTime":1407715200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0S8JdihlAuM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0S8JdihlAuM","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":60},"parentClipId":"8810301658072847895","href":"/preview/8810301658072847895?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/8810301658072847895?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4866162418819419364":{"videoId":"4866162418819419364","title":"Conformal mapping in Complex Analysis | Msc. \u0007[Mathematics\u0007]| \u0007[Spectrum\u0007] \u0007[of\u0007] \u0007[Mathematics\u0007] #...","cleanTitle":"Conformal mapping in Complex Analysis | Msc. Mathematics| Spectrum of Mathematics #complexanalysis","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=V96UNFC0qvc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/V96UNFC0qvc?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":559,"text":"9:19","a11yText":"Süre 9 dakika 19 saniye","shortText":"9 dk."},"date":"10 kas 2025","modifyTime":1762732800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/V96UNFC0qvc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=V96UNFC0qvc","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":559},"parentClipId":"4866162418819419364","href":"/preview/4866162418819419364?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/4866162418819419364?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16320352635127303135":{"videoId":"16320352635127303135","title":"csir net \u0007[mathematics\u0007] Real Analysis| Z is not an open subset of R #spectrumofmathematics","cleanTitle":"csir net mathematics Real Analysis| Z is not an open subset of R #spectrumofmathematics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=p-JWALsX8NM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/p-JWALsX8NM?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":"d3d3LnlvdXR1YmUuY29tO1VDQk54X3ctNGJnNldzdzJCNThrQ2lFQQ==","name":"Spectrum of Mathematics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Spectrum+of+Mathematics","origUrl":"http://www.youtube.com/@JaswinderKaur-kk5kl","a11yText":"Spectrum of Mathematics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":121,"text":"2:01","a11yText":"Süre 2 dakika 1 saniye","shortText":"2 dk."},"date":"20 mayıs 2024","modifyTime":1716163200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/p-JWALsX8NM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=p-JWALsX8NM","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":121},"parentClipId":"16320352635127303135","href":"/preview/16320352635127303135?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/16320352635127303135?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"1794826922447636869":{"videoId":"1794826922447636869","title":"\u0007[Spectrum\u0007] \u0007[Math\u0007] Tutor: Dependent and Independent Variables","cleanTitle":"Spectrum Math Tutor: Dependent and Independent Variables","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=6fYn6qV-GT8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/6fYn6qV-GT8?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":"d3d3LnlvdXR1YmUuY29tO1VDM0dVSGotaHNmVERCaVVXaVRSUWxJdw==","name":"Carson Dellosa Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Carson+Dellosa+Education","origUrl":"http://www.youtube.com/@CarsonDellosaPublishingGroup","a11yText":"Carson Dellosa Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":153,"text":"2:33","a11yText":"Süre 2 dakika 33 saniye","shortText":"2 dk."},"views":{"text":"54,3bin","a11yText":"54,3 bin izleme"},"date":"11 ağu 2014","modifyTime":1407715200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/6fYn6qV-GT8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=6fYn6qV-GT8","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":153},"parentClipId":"1794826922447636869","href":"/preview/1794826922447636869?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/1794826922447636869?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15322661178053931923":{"videoId":"15322661178053931923","title":"\u0007[Spectrum\u0007] \u0007[Math\u0007] Tutor: Problem Solving in the Coordinate Plane","cleanTitle":"Spectrum Math Tutor: Problem Solving in the Coordinate Plane","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JM06kjvAD_0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JM06kjvAD_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":"d3d3LnlvdXR1YmUuY29tO1VDM0dVSGotaHNmVERCaVVXaVRSUWxJdw==","name":"Carson Dellosa Education","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Carson+Dellosa+Education","origUrl":"http://www.youtube.com/@CarsonDellosaPublishingGroup","a11yText":"Carson Dellosa Education. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":140,"text":"2:20","a11yText":"Süre 2 dakika 20 saniye","shortText":"2 dk."},"views":{"text":"8,5bin","a11yText":"8,5 bin izleme"},"date":"11 ağu 2014","modifyTime":1407715200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JM06kjvAD_0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JM06kjvAD_0","reqid":"1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL","duration":140},"parentClipId":"15322661178053931923","href":"/preview/15322661178053931923?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","rawHref":"/video/preview/15322661178053931923?parent-reqid=1773711932732561-5230767444547941259-balancer-l7leveler-kubr-yp-sas-64-BAL&text=Spectrum+of+Mathematics","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"5230767444547941259764","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":"Spectrum of Mathematics","queryUriEscaped":"Spectrum%20of%20Mathematics","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"}}}