{"pages":{"search":{"query":"Mathematical Explorations","originalQuery":"Mathematical Explorations","serpid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","parentReqid":"","serpItems":[{"id":"5438953190656214221-0-0","type":"videoSnippet","props":{"videoId":"5438953190656214221"},"curPage":0},{"id":"519582452855883184-0-1","type":"videoSnippet","props":{"videoId":"519582452855883184"},"curPage":0},{"id":"5045878498634866062-0-2","type":"videoSnippet","props":{"videoId":"5045878498634866062"},"curPage":0},{"id":"7413738576237109161-0-3","type":"videoSnippet","props":{"videoId":"7413738576237109161"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGhlbWF0aWNhbCBFeHBsb3JhdGlvbnMK","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","ui":"desktop","yuid":"1249219211773996417"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"3755585351135829863-0-5","type":"videoSnippet","props":{"videoId":"3755585351135829863"},"curPage":0},{"id":"14796773692030484373-0-6","type":"videoSnippet","props":{"videoId":"14796773692030484373"},"curPage":0},{"id":"4317584959334165093-0-7","type":"videoSnippet","props":{"videoId":"4317584959334165093"},"curPage":0},{"id":"13258657657904320526-0-8","type":"videoSnippet","props":{"videoId":"13258657657904320526"},"curPage":0},{"id":"12210249706757079894-0-9","type":"videoSnippet","props":{"videoId":"12210249706757079894"},"curPage":0},{"id":"16866271064254746763-0-10","type":"videoSnippet","props":{"videoId":"16866271064254746763"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGhlbWF0aWNhbCBFeHBsb3JhdGlvbnMK","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","ui":"desktop","yuid":"1249219211773996417"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"10330452074985939774-0-12","type":"videoSnippet","props":{"videoId":"10330452074985939774"},"curPage":0},{"id":"2726001812376844746-0-13","type":"videoSnippet","props":{"videoId":"2726001812376844746"},"curPage":0},{"id":"10266318591294389122-0-14","type":"videoSnippet","props":{"videoId":"10266318591294389122"},"curPage":0},{"id":"7127330393005794429-0-15","type":"videoSnippet","props":{"videoId":"7127330393005794429"},"curPage":0},{"id":"5965602638482009725-0-16","type":"videoSnippet","props":{"videoId":"5965602638482009725"},"curPage":0},{"id":"5202519878043009895-0-17","type":"videoSnippet","props":{"videoId":"5202519878043009895"},"curPage":0},{"id":"8915854369460980449-0-18","type":"videoSnippet","props":{"videoId":"8915854369460980449"},"curPage":0},{"id":"2934355608334301506-0-19","type":"videoSnippet","props":{"videoId":"2934355608334301506"},"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":"dE1hdGhlbWF0aWNhbCBFeHBsb3JhdGlvbnMK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","ui":"desktop","yuid":"1249219211773996417"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematical%2BExplorations","pages":[{"reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"2903004564660660385713","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":["1469658,0,44;1414492,0,75;1480629,0,96;1500300,0,65;1504422,0,84;1490007,0,27;1504482,0,77;1493177,0,74;1512815,0,91;124073,0,24;1515331,0,25;1484368,0,60;1497893,0,21;1509940,0,77;1501449,0,1;1512230,0,61;1373787,0,72;1507019,0,29;1508270,0,15;1349071,0,18;658770,0,40;364898,0,40;1064472,0,92;188944,0,55;132361,0,11;1510898,0,71;461652,0,3;1511870,0,91;1145219,0,11;56261,0,58;1515118,0,89;151171,0,48;126309,0,54;1269693,0,45;1281084,0,79;287509,0,68;1447467,0,47;1006026,0,27;1482975,0,16;1499422,0,30;1499823,0,93;1476845,0,81"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMathematical%2BExplorations","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=Mathematical+Explorations","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":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=Mathematical+Explorations","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Mathematical Explorations: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Mathematical Explorations\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Mathematical Explorations — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"y6cc82d7ae2737a1fbe6a7e11c356ca41","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1469658,1414492,1480629,1500300,1504422,1490007,1504482,1493177,1512815,124073,1515331,1484368,1497893,1509940,1501449,1512230,1373787,1507019,1508270,1349071,658770,364898,1064472,188944,132361,1510898,461652,1511870,1145219,56261,1515118,151171,126309,1269693,1281084,287509,1447467,1006026,1482975,1499422,1499823,1476845","queryText":"Mathematical Explorations","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1249219211773996417","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":"1773996436","tz":"America/Louisville","to_iso":"2026-03-20T04:47:16-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-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":"1469658,1414492,1480629,1500300,1504422,1490007,1504482,1493177,1512815,124073,1515331,1484368,1497893,1509940,1501449,1512230,1373787,1507019,1508270,1349071,658770,364898,1064472,188944,132361,1510898,461652,1511870,1145219,56261,1515118,151171,126309,1269693,1281084,287509,1447467,1006026,1482975,1499422,1499823,1476845","queryText":"Mathematical Explorations","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1249219211773996417","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":"2903004564660660385713","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":162,"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,"isCommentsAuthPopup":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":"1249219211773996417","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1789.0__a54458435e95c7f94a27e48435bcb29ff3004996","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","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":{"5438953190656214221":{"videoId":"5438953190656214221","docid":"34-4-13-ZC13DA384CF703857","description":"Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3111959/ae83bba261f1a2a19a4a969786d5e6d6/564x318_1"},"target":"_self","position":"0","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFJLIWvFG9_s","linkTemplate":"/video/preview/5438953190656214221?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Einstein's Field Equation || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FJLIWvFG9_s\",\"src\":\"serp\",\"rvb\":\"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-wAB-v8CAPIBEAT6BP8BFP39APYBAQD6_gH5BAP_APv5CvoBAAAAAv34AgkAAAD9-PcC-_4AABYP9gcDAAAAEv4A-P8AAAAQCAYD_gEAAPz7_fYC_wAAEgoIAf8AAAD0C_j0AAAAAAoZAQwAAAAADQ33_QAAAAAgAC1ZJtc7OBNACUhOUAIqcxAAGmD7EwArTP4IuSQ85MjF_AQN4BfPCLfu__Xg_zYX-McAMebh0Sn_GY8c6ZwAAAAUxwAFGgDvf9HWu1NA1-zD4LUqJnX_KuvcRf4s9RQS2AEORwTBt1EA6vbiEyQdpR4rE0AgAC3NthE7OBNACUhvUAIqrwYQDBqgBgAAHEIAAIbCAACGQgAAmsIAAAhCAACwwQAAzEIAAOjBAACAQAAAEMEAAEhCAACAPwAANEIAADDBAACYQQAAmEEAAMDAAAA4QgAA4EAAAADAAADAQAAABMIAADzCAACYQQAAxMIAABDCAAAwwQAAkMEAADBCAAA4QgAAOMIAAKBAAACwwQAAiEEAAEzCAAAwQQAAEMEAAIBCAACQQQAAqEEAAEDBAADgwAAAJEIAAAAAAACAQQAADMIAAADBAACYQQAAQMEAAOhBAACgwAAAIMIAACzCAABQQQAAKEIAABBCAADcwgAAQMEAAFxCAAAUQgAAokIAANjBAABEwgAAIMIAAIA_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-AAAUPgAAQDwAAKi9AACAuwAApj4AAAy-AACWvgAAoj4AAOg9AAAQvQAAuj4AAH8_AACGvgAAED0AAJi9AADIvQAAXL4AAHA9AAAwvQAA-D0AAIY-AABEPgAAXL4AADy-AADoPQAAgDsAAIg9AABAvAAAbL4AAL6-AACOvgAAEL0AACw-AADIPQAAgLsAACy-AACGvgAAJD4AAMi9AAAEvgAALL4AABy-AABwvQAAqj4AAJY-AABMvgAAgDsAADM_AAC4PQAA2L0AADA9AACovQAAqD0AAAQ-AADeviAAOBNACUh8UAEqjwIQARqAAgAAuL0AAJg9AABQPQAAR78AAMi9AACAOwAAzj4AABS-AABQPQAABD4AACw-AABMvgAALD4AAIi9AAAMPgAAiL0AAIC7AAARPwAAUL0AAK4-AACoPQAA6L0AAOA8AAD4vQAABD4AAHC9AABAPAAAuD0AAFw-AABAvAAAiL0AABQ-AACWvgAAzr4AABy-AACgPAAAED0AAOg9AADIvQAAiL0AAIg9AAAwvQAAQDwAAIg9AAD4PQAAiD0AAH-_AADIPQAAFD4AAEw-AACYPQAAoLwAAFS-AADoPQAAmL0AAAw-AAAQvQAAQLwAAIA7AACIvQAAXD4AAHS-AABMPgAA4LwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=FJLIWvFG9_s","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5438953190656214221"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"519582452855883184":{"videoId":"519582452855883184","docid":"34-11-10-ZC935405D5AB367F8","description":"In this video, you will learn about the generalized potential in classical mechanics. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2003748/666f9843650a847be40445ade39df9cd/564x318_1"},"target":"_self","position":"1","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DU23FBqAxqU8","linkTemplate":"/video/preview/519582452855883184?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Generalized Potential || Classical Mechanics || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=U23FBqAxqU8\",\"src\":\"serp\",\"rvb\":\"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-vwHCPcA_AASBggI-wIb-u4E8wIBAPsG-PwHBf4A9ur-BwgAAAD5BPAKCAAAAP_r8wn9_QAACfDvAwIAAAAg7QIB-gAAABIT-fj-AQAA_uwGAQP_AAAfEwP8_gAAAPn5B_wBAAAACwz8DgAAAAAOBwn5AAAAACAALQQPvDs4E0AJSE5QAipzEAAaYPQdAFFQDA2zE2PnBtcE3e68TbMI5Qn_5Of_9Rj9xgQo4MfKYAAQyiTlnQAAAB_e5Rb0AOJ7u974MCTiBrTV5_k2f_gVJRhVK_zCFdzZAfBcFP27EgDM-gpDIcyCOQkVQyAALb2xCzs4E0AJSG9QAiqvBhAMGqAGAACYQQAAgEEAAARCAACowQAAuMEAAIBAAADCQgAAgL8AAFDBAAAIwgAAnEIAANBBAACAPwAAGMIAANhBAABAQAAA4MEAAFBBAACKwgAAoEAAALhCAACcwgAAAAAAAKBAAACIwQAAcMEAALjBAACgwQAAxEIAAADBAAAwwQAAGEIAALrCAACAQAAAgL8AAKjBAADAwAAAbEIAABzCAACAvwAARMIAAAhCAAB4QgAAYEEAAEDAAADAQAAAwEEAAMjBAACQQQAAuEEAANBBAAB0wgAAsEEAADBBAABAQgAA4EEAAFTCAACYwgAA4EEAAOBAAADAQQAAFEIAACzCAACWwgAA-EEAAJBBAAB0QgAAwEAAALBBAABQQgAALEIAAGRCAAAwwgAALEIAALDBAABcwgAAgMEAACjCAAAMQgAACEIAACTCAACyQgAAgL8AAEDAAACAwgAAgEAAAGBCAAA4QgAAMEIAAKBBAACgQQAAaEIAAFDCAAAswgAAYEEAAPrCAADgQAAAQEEAABxCAABgQQAAcMEAAOjBAAAwQgAAAMIAAEjCAAAAwgAAMMEAAI5CAAD4QQAAkkIAAExCAACAvwAAVMIAAAAAAADgQAAAQMEAAODAAABwwQAAQMAAAGDBAACAwAAAUMEAAIjBAABUwgAAwEEAAIBAAACgwQAAFMIAAFDCAABMQgAAuEEAAIjBAAAAwwAAIEEAAJBBAABAQQAAHEIAAEBBAAAEwgAAvMIAAAhCAADMQgAA4MAAABDCAAAkQgAADEIAAIbCAAD4QQAAfMIAAIA_AAAQQQAAQEAAAFBBAAAYwgAAsMEAAEDBAADIwQAAAEAAAADCAACgQAAAxsIAAAhCAADQwQAAYEIAAGDBAADAwAAAkEEAANhBAABAQAAAMEIAAILCAABwQQAAQMIAAJjCAAA4wgAAZEIAAEjCAABAwQAAoMAAAHBBAAAAwAAAAMAAAHjCAADowQAA4MEAAGBBAAC4wQAAFEIAAGDBAADgwAAAXMIAAAAAAABwwQAAsEEAAEBBAABgQQAA4EEAAHBBAAA0wgAAwMAgADgTQAlIdVABKo8CEAAagAIAALi9AABwvQAAij4AAIC7AAAMvgAA6D0AAMg9AAAxvwAAhr4AAAw-AAAwPQAAQLwAAEQ-AACCPgAAiL0AAGS-AABEPgAA-D0AACQ-AADKPgAAfz8AAHy-AABAvAAAoDwAAHA9AAB8vgAAcD0AAIC7AACIvQAAnj4AAAw-AADIvQAAJL4AAJi9AAAEPgAAFD4AAKC8AAA0vgAAhr4AACS-AADIvQAAuD0AACQ-AAAkvgAABL4AAES-AAAkPgAAmL0AANi9AADIvQAAqD0AAFC9AACmPgAAcD0AAFy-AACgPAAAJz8AANi9AABQPQAAyD0AADQ-AADgPAAAVD4AAKC8IAA4E0AJSHxQASqPAhABGoACAABsvgAAbD4AAIC7AAA5vwAAVL4AAFS-AAA0PgAADL4AAKA8AACOPgAAJD4AAPi9AAAcPgAAiL0AABC9AADYvQAAUL0AAB8_AACoPQAAwj4AAHA9AAC4vQAAMD0AAFy-AAD4vQAA6L0AALg9AAC4PQAAdD4AAJg9AADgPAAAUD0AAIq-AAAEvgAAgLsAAEC8AACoPQAABD4AABy-AADgPAAAED0AAOC8AACYvQAAyD0AANi9AACqPgAAf78AAKA8AADovQAAuD0AAKg9AAAQPQAAqD0AAFQ-AACAOwAAmD0AAOC8AAAQPQAAMD0AAGS-AAAQvQAABL4AAOg9AADYvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=U23FBqAxqU8","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["519582452855883184"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"5045878498634866062":{"videoId":"5045878498634866062","docid":"34-7-0-Z6ADD195E6D185318","description":"Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations @mathematicalexplorations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4580066/2996b1f41ba91177ce78af9763d520e6/564x318_1"},"target":"_self","position":"2","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7A8adzVJSSY","linkTemplate":"/video/preview/5045878498634866062?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Pythagoras Theorem || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7A8adzVJSSY\",\"src\":\"serp\",\"rvb\":\"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_8CAPv1Df8HBf4B9gXv-fj9_QADAvjzAwT-AAL7BPwDAQAA-AUCAgAAAAD9-PcC-_4AAA0E-e4DAAAAGAT8Cv8AAAAODPwD_gEAAAMCBwED_wAAExEBCv8AAAD4AAACBvr_Af4UEAEAAAAACA8M__8AAAAgAC0jf9g7OBNACUhOUAIqcxAAGmDlFwA1IQkBq-4o3Oza7uz64jvY-9XZ__vG_wb7JPME9tDl3zX_Dccb2rEAAAAm6BQT-ADSZ7zKvSQw7P2_4_kcDn_cMAbeHe4I59_Q2vYfPBXTtfMA2vzcDjv4_A4dOEcgAC3bXyo7OBNACUhvUAIqrwYQDBqgBgAA4MEAAEDAAADwQQAAcEEAAHDBAAAQQQAAhEIAAIDAAACmwgAAUMIAAFDBAACAQAAAUEEAAIZCAAAUQgAAeEIAAJjBAAAAAAAAmMIAAMBAAAAUQgAAmMEAAAAAAABQQgAAEEEAAODBAACAwAAAksIAAOBBAACgQAAA8MEAABxCAAC-wgAAaMIAABRCAABgQQAAaMIAAGxCAACAQQAAHMIAAIA_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_AACoQQAA8EEAAMTCAACIQQAAoEEAAMBBAABwwQAAoEEAADBBAABkwgAAHMIAAHDBIAA4E0AJSHVQASqPAhAAGoACAAAwvQAA6L0AACQ-AADIPQAATL4AAEw-AACIvQAAJ78AAFS-AABcPgAABD4AAJi9AAAwPQAArj4AALi9AACKvgAAij4AALg9AADoPQAA2j4AAH8_AACmvgAAgLsAAJi9AACGvgAAyr4AAKA8AAAkvgAAJD4AAK4-AAAkPgAAVL4AAOi9AADoPQAAML0AAPg9AADgvAAABL4AAKa-AACOvgAAqL0AABC9AACIPQAANL4AAI6-AAB0vgAAXD4AAPi9AAAcvgAA7r4AACy-AADgvAAAwj4AAPg9AACmvgAAUD0AAGU_AACoPQAAUD0AAHA9AABQvQAAqL0AACQ-AACCviAAOBNACUh8UAEqjwIQARqAAgAAhr4AADw-AABQPQAAN78AAAS-AADoPQAAmj4AAOC8AABAPAAADD4AABC9AABsvgAAdD4AAFA9AACAuwAAQLwAADA9AAAlPwAAUL0AAJI-AABkPgAAgLsAABQ-AABsvgAAUL0AAJg9AACIPQAAFD4AAOg9AAAMPgAAUD0AAIg9AACSvgAArr4AAPi9AACAOwAAyD0AALg9AACovQAAHL4AACQ-AABAvAAAND4AAPg9AABAPAAAPD4AAH-_AACgvAAAmL0AAMY-AABMPgAAPD4AAOA8AACWPgAABD4AAOg9AACYvQAAQDwAADA9AABcvgAAXD4AAFC9AABUPgAAfL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7A8adzVJSSY","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5045878498634866062"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7413738576237109161":{"videoId":"7413738576237109161","docid":"34-4-9-ZCDE880D9DFF1FD3A","description":"In this video, we are going to discuss about basic rules of tensor notation. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching #mathematicalexplorations #tensor...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2367484/179e1e8d8072924b997f5649cb66eb7a/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/vdiu0AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvM00WXkx7AI","linkTemplate":"/video/preview/7413738576237109161?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Basic Rules of Tensor Notation || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vM00WXkx7AI\",\"src\":\"serp\",\"rvb\":\"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_6AQD8BQD8-QYHAgf8AgoA8AH2__8A8_v9_AcBAAAC-wT8AwEAAP0C_AUBAAAA-PQGAfr_AAASC_X3AwAAABv8AgMCAAAACgb3CP4BAAD4AQr-AgAAAA8ACPv_AAAABQoF_wAAAAD-CAMLAAAAAAX8-f4AAAAAIAAtfGXeOzgTQAlITlACKoQCEAAa8AF_Dd4A2hoEANoEzADSFQQAgyEK_hsk4gCx-xoBgwrK_vcM-wDu0QYB9-IdAL8XBwAaAcgAEuAX_yn88f8xDQr_7BwYADfb_QAy8AgA8vPs_vEMFf8v9yYBHOjnAAkWAf0gGR0AxBTm_wUb5gAX5ykCHPoS_Qz0Dgfd8wX_8hceAQTx-PsOE_3-4gT1-PkgGQT2BQAD--n29tfhAP_0IOb8CuD6-goA-_k3Dv4L8vT49_QM_vf9BujyFB4g_vgcAf_-1xT25vP79PD0FAQ33QD48-IDARzqBAgeI-X47ecA_fHwCPHaHg779BEHAufxBAQgAC3kih87OBNACUhhUAIqzwcQABrABy_9674KYgU93dT-O8q7n71aRoo9fIZLvJ61W70PX2s9R_r-PCtR9jxzvtg8OnR6vJxNl77qPVy5ZI8WvAovYT4XcbC8QdPGOXoXL74IPDA9KZ_UvKdZgL7i0uI4B5ovvRBcBT6bk1W77awru7J1mj2ly9G8LegBvAnMqb1UwwO9aMMrvEPn9b1_th-9WiIBveaU4D3m3Le8ttCfPLxa7j1AY0u8KwGnPDkevbzmLni8UqhdvEdahTzEjYA825EDvPc_ED4XoG28n0nyOxfLvrx6srC7Y8IgvFWKXb0c45S8jQUKvRBmCb0ZYks9JSL8vMQsvz1RaYS8zHmrPPmgB770Gps9L4GAO_W8Kz7NLHg8-nq-PCYMdL1dRrs9TCy6PLE3zDwydoI8ivU_uguWKj1wlSe8qsw5PBdc_byUPC09X-HuO41KJT3WIyg9LPOWPNPCYD2q5C07nLecu5qIKL24ytO8U2BcvBsUaL3mrM881lyJvLjq-j2E2SS9ZciMvPh1Oz2cDgk9llwkuz3NzTv4O4-9qJg5PD_CVTyqU3S9GgV3vC91Bj1-e229AjD5urJbdT3cZ3U9eAayu2oxiL32H169aXQDufHYzz3Io0i7ci54upfiKr3L3Q66QNTku2QntDsnUyI7voFuvEWAkzxPMC09be2zO08EsbzgGFk5ePHZu3kToj0nAQO7kMPcu004KjzSwuU84GG9u2IvVD0po8C8v3cju41BCjxAdSC8RGgpO_TRlLuOUWg8jxIduMoInjxrPji9JIlpOWMbwj160IE7OGoruYNJlrytFAQ8LYizOZBt9Dyy6Ee9bevAuRSdi72JeuG9xidwOdQblL3d2tu7wYFwOIfk_zzuu_088p2nOVDQXL0S5Na83s8qOt7db7zq1pY9KN0uOPKVID3w6HW913f3t7KvhrwoTzS97ZICOg0zuLu6-Ju8sL4Jun6__TzkH0w9B2soOVnTxjxQHGC9INIXOJJa6DyL8as9uhvWN5_PO734AIg9sZSoN4NxSzxjeXy9Q8vyN5oHED3eOMm9CDT7NiIOIz054RA7sB5TuMrhA74Q1x48l_1ON7Ctn7zPtI48YtC-txKfYLuyHDa7ZQsyNjP8Vzp2ihW9veQwOMHjKz7cpWi8B4l0uanbOb3mf0k7wVHwNzjnlrxGwDe9auIDuJS0rLxsrTQ9BBjztR2XDD1JD0O-VDFNubnBdTwt7Ak-hifnOPCyNb1czM89DEYKuSumnb1Y8sK88Kilt8HFjrtiFa-8QXEzNyAAOBNACUhtUAEqcxAAGmAwAwA7Ggruvfhd1_rN9fXX4QS0Cc_x_-K4_wIH7-P1Ic_F-Df_TdIc5KEAAAAU0ectEgDsf73LyQz3Eem5uuMdHWv2EFrXBAQEv-UlE9MQDACx908A8cqrKzjnngtM_wogAC2rzxM7OBNACUhvUAIqrwYQDBqgBgAAMEEAAExCAACYQQAA2EEAAAxCAAD4wQAAZEIAAIBBAABQwgAAbMIAAIxCAAAAwgAAIMEAANjBAABYQgAAoEAAADzCAAD4wQAAlsIAAKBBAABcQgAAaMIAALjBAAAYQgAAmEEAALhBAAC4wQAAgsIAAIBCAAAswgAAQMIAADhCAAD2wgAAEEEAAADCAACQQQAAgEAAALpCAAAQwgAA6MEAALhBAABMQgAAIEIAAFBCAAAAwQAA6MEAAKjBAABAwgAAMEEAAEBBAAAAwAAAAMAAAABAAACAwQAASEIAABRCAADgwgAAKMIAAAAAAADoQQAAiEEAAIBAAAAEwgAACMIAAIRCAACwQQAA4EAAABRCAACYQQAAgEEAAFxCAACoQgAA4MAAAPhBAAAgwgAAAMIAAIDAAAC4wQAAAMAAAOBAAACowgAAfEIAAADCAACoQQAAPMIAAMhBAAAoQgAAAEAAAEhCAACgQQAAkEEAAPhBAAAAwQAASMIAAHBBAACewgAAQEEAAIA_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-AAD4PQAAGb8AAKa-AAAUPgAAyL0AAEy-AADovQAAyD0AADy-AADYvQAA6D0AAHA9AACgPAAAvj4AAH8_AABEvgAAgLsAAOi9AAAMvgAAZL4AADA9AABQPQAAoDwAAIY-AAB8PgAAcD0AAJK-AABAvAAAVL4AAAw-AADoPQAAJL4AAKq-AAAQvQAAbL4AAAS-AADIPQAAEL0AANi9AACKvgAAuD0AAES-AAAMvgAAdL4AABy-AABAvAAAij4AANg9AAAMvgAAoLwAAB8_AABEPgAAQLwAALg9AADYvQAAqD0AALg9AACovSAAOBNACUh8UAEqjwIQARqAAgAAfL4AAOg9AABQvQAAP78AAOC8AADgvAAAVD4AADy-AACYvQAAyD0AAIi9AACOvgAAJD4AAMi9AADgPAAAiL0AAJg9AAADPwAAUL0AAIo-AAAsPgAAHD4AANg9AAAUvgAAQLwAAHC9AAAQvQAAED0AAOA8AAD4PQAAqD0AAPg9AABsvgAAkr4AACy-AAC4vQAAUD0AANg9AAAkvgAAuL0AAOA8AAC4PQAAiD0AAOg9AADgvAAAFD4AAH-_AABAPAAA4LwAAGQ-AABsPgAAoDwAAOA8AAB8PgAAED0AALg9AABAvAAAmD0AADC9AABEvgAAcD0AAFA9AABUPgAAhr4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=vM00WXkx7AI","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7413738576237109161"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3404004919"},"3755585351135829863":{"videoId":"3755585351135829863","docid":"34-6-11-Z8E406227C27CA429","description":"Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4434814/d792290099ffa9b1d4c11dadbce4df4a/564x318_1"},"target":"_self","position":"5","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DN_33uzdPkug","linkTemplate":"/video/preview/3755585351135829863?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Pathlines || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=N_33uzdPkug\",\"src\":\"serp\",\"rvb\":\"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_78AP4DAAP6DQ4GC_oCBgf4APf__wD1APX0AwL_APj7_wUFAAAABgP8CQkAAADx9_AH-wAAAA8B-PwEAAAAHPwCAwIA_wAMAQEB_wEAAPgBCv4CAAAAEA39_f8AAAD5_QoFAQAAAAoK_AwAAAAAAQQG_v8AAAAgAC0AU9s7OBNACUhOUAIqcxAAGmDHHAAxOA3_uRRP69rq8uYR5yO3CdIZ_-jh_xX3BOEXHtvs1Db_C6M926QAAAD83OT3KwC8crnEwg4x9evA8PUjGH_7KhUGOuca2Q3dyPIjNP_YqQQA9uMOPiDq0yxAHUsgAC2lFxs7OBNACUhvUAIqrwYQDBqgBgAAoMEAAIA_AACYwQAA2MEAAOhBAABAQAAAgkIAAODAAABEwgAARMIAANxCAABwwgAAwEAAABTCAACwwQAAnkIAAIBAAADIQQAAjMIAAABAAAAMQgAAQMEAACBBAAC4QQAAeMIAAIDBAABgwQAAsMEAAFBCAAAYwgAA2MEAAGRCAAB8wgAAQMEAACDCAACgQQAA4MEAAJxCAAAAQAAAwMAAAMhBAACAwAAAEEIAAKhCAACAQQAAgkIAAGDBAABUwgAAMEIAAIC_AABAwQAAHMIAANjBAACMwgAAHEIAACBBAAAwwgAAQEAAAJjBAACgwQAAhkIAAODAAACgwAAAQMEAABBBAADewgAAIMEAAETCAABgQQAAoEEAAJDBAAAUQgAAuEEAAJBBAAAQQQAAIMEAALDBAACoQQAAQMAAAERCAADowQAAJEIAAHBBAAAkwgAAEMIAANJCAACGQgAAuEEAAExCAADAQQAAIMEAABDBAABAQQAAusIAAAjCAABAwgAAQEAAAKDAAACIwQAAOEIAAPDBAAAAwgAAqEEAAGDBAABcwgAAsMEAAIA_AABgQgAAAEAAAABAAADwQQAAaEIAAFBBAABMwgAASEIAAABBAACwwQAATMIAAGBBAABAwgAA0EEAAADCAACYwQAAEMEAALjBAACYQQAAAEEAANhBAACewgAAGEIAAIjBAABkwgAAsEEAACjCAAD4wQAAKEIAAGBBAAD4QQAAwEAAAHTCAAAgwgAAxEIAALDBAACAQQAAiMEAADhCAAAAwAAAwEEAAIRCAACIQgAAMEIAAFzCAAAowgAA2EEAAIA_AAAAQAAAnMIAAMDBAACWwgAA4MEAAETCAABUwgAAwMEAAAxCAACQwQAAHMIAAGBBAABYQgAAIMEAABBBAADoQQAAIEIAAJrCAAAIwgAAYMEAAIBBAAC4wQAAMMEAAEDBAAAcQgAAaMIAAFDBAAB0wgAA2MEAAMhBAAAAQAAACMIAAJJCAAAAQQAAIEEAAIDCAABwwQAAaEIAAJpCAACMwgAAJEIAAKhBAACGwgAAHEIAABDBIAA4E0AJSHVQASqPAhAAGoACAABwvQAAuL0AAKg9AADIPQAAQDwAAIY-AABwvQAAIb8AAJ6-AAAsPgAAFD4AAEy-AABAPAAAdD4AACy-AAD4vQAApj4AAKg9AABQPQAAij4AAH8_AAAcvgAAoDwAAFC9AABQvQAAbL4AADC9AACovQAAqD0AAIo-AABkPgAA6L0AAIi9AACgPAAA2L0AAPg9AACgPAAAZL4AALa-AAB0vgAAVL4AABC9AAAMPgAAgLsAAI6-AACGvgAADD4AAPi9AAAsvgAARL4AAIA7AADovQAAqj4AABQ-AABcvgAAQDwAACs_AABcPgAAiD0AAKC8AABAvAAAED0AAEQ-AAB8viAAOBNACUh8UAEqjwIQARqAAgAAbL4AADQ-AACIvQAAN78AAFS-AAAQvQAAuj4AADS-AABwPQAABD4AAEA8AACOvgAAJD4AAIA7AACAOwAAmL0AABC9AAAJPwAARL4AAJI-AABcPgAAyL0AAFA9AAAsvgAAQLwAABC9AACIvQAAuD0AAEQ-AABwPQAAcD0AALg9AAB8vgAAnr4AALi9AAAwPQAAFD4AAAw-AABwvQAAiL0AAGw-AAAQvQAA2D0AAJg9AACAuwAAPD4AAH-_AADYPQAAML0AAGQ-AABsPgAAED0AAJg9AABMPgAAgLsAAPg9AACIvQAAmD0AAKC8AAAkvgAA6D0AALi9AAAcPgAAqL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=N_33uzdPkug","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3755585351135829863"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"14796773692030484373":{"videoId":"14796773692030484373","docid":"34-9-3-ZB621558637DBE135","description":"Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3110953/5b66583d2516a25abfa97a5978282670/564x318_1"},"target":"_self","position":"6","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7gzhzB7Zhk0","linkTemplate":"/video/preview/14796773692030484373?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Einstein's Famous Equation || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7gzhzB7Zhk0\",\"src\":\"serp\",\"rvb\":\"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_Ew-CBCQBgAQrKosBEAEaeIH0AwL-_wEA_AAMD_gJ_AINBv8C9gAAAPoH__QCBP4A-fMUAgUAAAAEBvcBAgAAAAD0AAMA_gEAFg_2CAMAAAAaAv0A9wAAAA0H__r-AQAA_Pv99gL_AAASCggB_wAAAPQL9_QAAAAAChkBDAAAAAAdFP0DAAEAACAALdgy1Ds4E0AJSE5QAipzEAAaYAkVABlB8va9EELlvsgBCQH2Isv8vub_ANj_MxTry_4q3N_QKv_-pRHdoAAAACHNAQAxAOx81c_DVjnX-bfoyyEpf-Al4_dN9zfiAxPN_yVOEbe8KADs9uAPJAKyLQoLSCAALXxJFTs4E0AJSG9QAiqvBhAMGqAGAACYwQAAEEEAAChCAACAvwAAVEIAAOhBAAC4QQAAKMIAAMzCAABswgAAokIAAOjBAADAwAAASMIAAIBAAACSQgAAQEAAAOhBAAC0wgAAMMEAAAhCAADIQQAAEEEAAJBBAADYwQAAAMEAAODBAACSwgAAoEIAAATCAABAwgAACEIAAKrCAAAgwgAAKMIAAIA_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-EEAAKjBAAAgQQAAwMEAAADCAAAAQgAAAEAAACBCAAC4QQAAXMIAAGjCAADQQgAAAEAAAADAAACoQQAAiEIAABDCAACwQQAAcEEAANhBAAAgQgAAaMIAAHDBAADQQQAAUMIAACzCAAAkwgAAMMEAAHjCAADAQAAAuMEAAADCAAAAAAAAEEIAAJjBAADowQAAIMEAAHBCAABAwAAALEIAAAAAAAAsQgAAgMEAAHDCAADIQQAAAEEAAIjBAABEwgAA4MAAABhCAAAkwgAAsMIAAHDCAACMwgAAcEEAALjBAACYQQAAlEIAADBCAAAAAAAApMIAADDCAAA0QgAAyEIAADjCAAB0QgAAyMEAAJDCAACAPwAAOMIgADgTQAlIdVABKo8CEAAagAIAAJi9AABQvQAAgDsAAKA8AABMPgAAXD4AAMi9AAAtvwAAir4AANg9AACAuwAAiL0AAIA7AAB0PgAAyL0AAGy-AACSPgAAUD0AAOi9AADWPgAAfz8AACS-AABAvAAAQLwAAFC9AABMvgAAgLsAAAS-AAB0PgAAnj4AABw-AACGvgAAVL4AALg9AACAuwAAUL0AAIC7AABMvgAAsr4AAIa-AAAEvgAAcD0AADw-AADoPQAAbL4AAFy-AABkPgAAZL4AAGS-AACSvgAATL4AAEC8AACaPgAAij4AAGS-AADgPAAAKT8AAAw-AABAPAAAiD0AAEA8AAAkPgAA-D0AAP6-IAA4E0AJSHxQASqPAhABGoACAABQvQAAmD0AAIC7AABTvwAAsr4AAPi9AACqPgAA6L0AAOA8AAA0PgAA6D0AAIa-AACSPgAAED0AABQ-AADYvQAAED0AAAc_AADgPAAAwj4AAOg9AACIvQAAgLsAABS-AAC4PQAAEL0AAIA7AACIPQAAhj4AAIg9AADIvQAA2D0AAFS-AADavgAA-L0AAHA9AACIPQAA6D0AAEC8AAAwvQAAiD0AABA9AADovQAABD4AAHA9AADIPQAAf78AACw-AABAvAAADD4AAPg9AAAwvQAAZL4AAJI-AAAUvgAATD4AADC9AADgPAAAgDsAAES-AACGPgAALL4AAFw-AAAcviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=7gzhzB7Zhk0","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14796773692030484373"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4317584959334165093":{"videoId":"4317584959334165093","docid":"34-2-17-Z271F44DF4AE9AEB3","description":"In this video, you will learn about the generalized momentum in classical mechanics. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2373501/cae24674ae1b31c1dc64b50b4268ad54/564x318_1"},"target":"_self","position":"7","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7dGHKoXxOlw","linkTemplate":"/video/preview/4317584959334165093?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Generalized Momentum || Classical Mechanics || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7dGHKoXxOlw\",\"src\":\"serp\",\"rvb\":\"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_AUB_wDr_gYDBwL_AB4C-v8DAgMA7QrwAAUAAAD37P4HBwAAAO0E7QT9AAAACur7___9AQAS6_v8AgAAAB8BCf_6AAAABRUA-v4BAAD58wvwAgAAABwRA_3_AAAA9wMM_AEAAAAH-_sGAAAAAA0GCfoAAAAAIAAtaizPOzgTQAlITlACKnMQABpg6hUAUjj7-6sTPuzd1Pf45uMuuwP3-__47v_8Iv29BDHfzOBTAPrUBu-sAAAAEdfuA_YA2Ga21OtBI-L_v9vqBhx_BxAiCzgf-tQa99T4-yww8r4YANwFFCkH66RM_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_sIAAABAAAAwQQAAIEIAAIBBAACQwQAAyMEAADhCAAAAwgAATMIAAOjBAAAgwQAAkEIAAABCAACWQgAAREIAAABAAABMwgAAQMAAAOBAAACQwQAA4MAAAFDBAABAwAAAMMEAAEDAAABwwQAAgMEAAEjCAADAQQAAUEEAAJDBAAAUwgAAYMIAAERCAACoQQAAkMEAAADDAABQQQAAiEEAAFBBAAAgQgAAmEEAAATCAAC-wgAAFEIAAMhCAADAwAAABMIAABRCAAAIQgAAhsIAAPBBAABswgAAAEAAAABAAADAQAAAgEEAABTCAACgwQAAYMEAAMjBAAAAwAAA6MEAAOBAAADEwgAAEEIAAOjBAABQQgAAiMEAAADBAACAQQAA2EEAAIDAAAA8QgAAeMIAAIBBAABcwgAAkMIAADTCAABgQgAAPMIAAFDBAAAAwAAAYEEAAIC_AACAwAAAgsIAANjBAACwwQAAiEEAAMjBAAAoQgAAUMEAAMDAAABkwgAAgL8AAGDBAADAQQAAoEEAAHBBAADQQQAAgEEAAETCAACAwCAAOBNACUh1UAEqjwIQABqAAgAAqL0AADC9AACKPgAAgLsAAHC9AAAkPgAAND4AAD-_AAD4vQAAdD4AAOA8AABQPQAAiD0AAKY-AABAvAAAPL4AACw-AACIPQAAND4AAO4-AAB_PwAAZL4AAKg9AACAuwAAiL0AAJ6-AACIPQAABL4AAOC8AADmPgAAyD0AAPi9AAB0vgAAML0AALg9AAAkPgAAgLsAAMi9AACuvgAAJL4AAPi9AACgPAAAPD4AAJi9AAB0vgAAPL4AADw-AACIvQAAiL0AAHy-AABQvQAA4DwAAI4-AAAEPgAAgr4AAKA8AABJPwAAZL4AADA9AADYPQAAUD0AAHC9AABUPgAAQDwgADgTQAlIfFABKo8CEAEagAIAANi9AABMPgAA4LwAADW_AACGvgAAVL4AACQ-AAD4vQAAQLwAAEw-AAAMPgAATL4AACQ-AAAUvgAAgLsAABS-AAC4vQAAEz8AALg9AAC6PgAA6D0AABS-AABwPQAAXL4AALi9AAA8vgAAED0AAJg9AAB0PgAAqD0AAIg9AAAQPQAAbL4AAPi9AACAOwAAEL0AABQ-AACWPgAAPL4AAAQ-AAAcPgAAEL0AAEA8AADIPQAAiL0AAKY-AAB_vwAAcD0AALi9AADoPQAA-D0AAFC9AAAkPgAAuD0AADA9AACIPQAAML0AAHA9AABwvQAARL4AAIC7AAAQPQAAUD0AAKi9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=7dGHKoXxOlw","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4317584959334165093"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"13258657657904320526":{"videoId":"13258657657904320526","docid":"34-0-14-Z904EEE537F59B924","description":"This video was made with Clipchamp...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/750974/b7d5dceb581323f0a04268b2cc7f175f/564x318_1"},"target":"_self","position":"8","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Df79dWbi1m1w","linkTemplate":"/video/preview/13258657657904320526?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Explorations - YouTube","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=f79dWbi1m1w\",\"src\":\"serp\",\"rvb\":\"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_Ew-CBCQBgAQrKosBEAEaeIHuAfn9_AUA9PgIAQIE_gELAPv69wAAAPwF-v0GBP4A-AAF-gcAAAAH_vIIAgAAAPMD-Pr8AAAADwH4_AQAAAAM-wAAAQAAAAoOAwD-AQAA_PwKBAP_AAAQDf39_wAAAP4I_gACAQAABQwG_AAAAAD_B_7_AAAAACAALXGG3js4E0AJSE5QAipzEAAaYPcyACwuDjKqBSnW4Orb4jT4GN3Z3h__8Jf_Gfo_7wXe188NC_88xEjgpgAAAAkF7AUCAMR_uOvH5gXzBcEfCgBOYho2-fz66SoEAqO51wv4FvToLQDY7PU9FfoJRgwdISAALbUYIDs4E0AJSG9QAiqvBhAMGqAGAABAQAAAiEIAAGRCAADgQQAA4MEAAMhBAABQQQAAxMIAACDCAAAEQgAA0EEAAABAAACIwQAA-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-D0AAKi9AAAVvwAAFL4AACw-AAAUPgAAlr4AAIi9AABkPgAAiL0AADC9AACaPgAA6D0AAJi9AABkPgAAfz8AAJi9AACYvQAAoDwAAFS-AACivgAAuL0AACS-AACSPgAAXD4AAPg9AAAQPQAAUL0AAHC9AAAUvgAAgLsAAKg9AAB0vgAAXL4AADC9AABAPAAAmr4AAMg9AADoPQAAir4AADS-AACovQAAQLwAADy-AAAMvgAAJD4AAOC8AACKPgAAXD4AAGy-AADYPQAALz8AAIC7AACgPAAAuD0AAHC9AABQPQAAXD4AADS-IAA4E0AJSHxQASqPAhABGoACAABAvAAAXL4AAKi9AABDvwAA2L0AAIC7AAC4PQAABD4AAKC8AACYPQAAmL0AAKC8AAC4PQAAQDwAAMg9AABQvQAAiL0AAA0_AABAvAAAqj4AAIA7AACgPAAAgDsAALi9AABwvQAAoLwAABA9AADIvQAALD4AAFQ-AAAQvQAAMD0AAPg9AACGvgAA4LwAAKA8AABwPQAAiD0AAIi9AABMPgAALD4AAFC9AAAwPQAAHD4AAKC8AABwvQAAf78AAAQ-AACYPQAAiD0AAHA9AADYvQAAJD4AAKA8AAAcPgAAuD0AAKA8AABUvgAA4DwAAAy-AAAcPgAAiD0AADy-AACIvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=f79dWbi1m1w","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["13258657657904320526"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12210249706757079894":{"videoId":"12210249706757079894","docid":"34-7-0-Z8A1D8BF24DBC2E48","description":"In this video, you will learn about polynomials and its properties. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations #riemann...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/217922/2d2359a63d6fd30738c99881d858ca60/564x318_1"},"target":"_self","position":"9","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DRrjbxkvK3Aw","linkTemplate":"/video/preview/12210249706757079894?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Polynomials for Beginners || Basic Mathematics || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=RrjbxkvK3Aw\",\"src\":\"serp\",\"rvb\":\"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_E5AGggQkAYAEKyqLARABGniB9AMC_v8BAAP5Dg4GC_oCBgLy9fb__gD___T7_AX-AAL7BPkPAQAA_gjzB_wAAAD4-foQ__8AAAj89f34AAAAFwT8_QMAAAATEQYK_gEAAPTx_wED_wAAFv4GAwAAAAD1AP_5BAAAAAUCBwkAAAAADAT9-wAAAAAgAC3YMtQ7OBNACUhOUAIqcxAAGmD3EAA2LAH5tgYm897c7_Hy7y65GMcE__QU_x4AH8sML-Tk_zEAIp8Z9a8AAAAK5NoLKQDBZJXTzhs44RDM4ewXFH8KABb-Iv391DYL8PUlHv3NzgwA9dYQDg4SyisWPkMgAC2PFCk7OBNACUhvUAIqrwYQDBqgBgAAcEEAAIhCAAA8QgAA6EEAALhBAACoQQAAPEIAAADCAACwwQAAeMIAAMBCAABAwQAAJEIAAIjBAACIQQAAQEAAAADCAAAUQgAAcMIAAEBAAAAYQgAAmMEAAODAAACQQQAAwEAAADBCAADgwQAAiMIAAKRCAAD4wQAA4MEAABRCAACywgAAoMAAABDBAACAQAAAwMEAAIRCAAAwwgAAEMIAAMjBAAAQQQAAGEIAAEBAAAA8wgAAQMEAAOBAAADIwQAAmEEAAOhBAADgwAAAiMEAAMDAAAAAwAAAwEEAAFRCAAC0wgAA5MIAAODAAAAAQAAAQMEAACBBAABwwQAAGMIAAFBCAAAEQgAAAEIAAGhCAABAwQAA2EEAAJhCAACOQgAAAEAAAIC_AADowQAAyMEAAAAAAAAAQAAAwEAAAJhBAAC4wgAAaEIAAAzCAACIQQAA6MEAACBCAABkQgAAAEAAAJhBAAAAQQAAgEEAAGBCAABAwAAAEMIAAMBBAAB4wgAAGEIAAMBBAAAcwgAAQEAAAIDBAAAAQQAAJEIAANDBAACgQAAA0MEAAKhBAACaQgAAUEEAACRCAACwQQAAoMAAAAAAAAAAwQAAqMEAAAAAAABAwQAADMIAAFBBAABwwQAAEEEAAAzCAABwwgAA6MEAAJjBAAAAAAAAHMIAADzCAAAkwgAAkEEAAMBBAAA4wgAAWMIAAMBAAACAPwAAhkIAAJZCAACgwQAAMMIAAMTCAAAEQgAAskIAAHDBAABgwQAAsEEAAJhBAACowgAAjEIAAEzCAAAAwQAALEIAAHDBAACgQAAAsMEAAPjBAABkwgAAAMAAAFDCAACAwQAAmEEAAFTCAADAQAAAMMIAAGxCAADAwQAAEEEAALhBAACoQQAAEEIAALBBAADIwgAAqEEAAPDBAACcwgAAcMEAAKxCAADQwQAAoEAAAEBCAAAMQgAAQEAAABDCAAAIwgAAhMIAAMjBAACMQgAAEMIAAIRCAAAowgAASMIAAJTCAACYwQAAmMEAAGxCAACoQQAAZEIAAABCAAAUwgAASMIAALjBIAA4E0AJSHVQASqPAhAAGoACAABMvgAAPL4AAFQ-AABAPAAA2D0AAGQ-AABQPQAARb8AAFy-AABwPQAAEL0AADy-AAAwvQAAHD4AADS-AABcvgAAND4AALg9AAAsPgAA4j4AAH8_AADovQAAZD4AABC9AAAwvQAAsr4AAAw-AAC4PQAAqD0AALY-AACaPgAAiL0AANi9AABQPQAADL4AAHQ-AABwPQAA2L0AALK-AADovQAAHL4AAFy-AACoPQAAdL4AAPi9AAA8vgAAbD4AAJa-AACovQAAkr4AAHA9AAAQvQAAqj4AAIg9AACYvQAAqL0AAEU_AADYPQAAJL4AAFA9AACYvQAAUD0AAAw-AABAvCAAOBNACUh8UAEqjwIQARqAAgAAnr4AABQ-AACIvQAANb8AADS-AAAQvQAAjj4AAAS-AABQPQAAQDwAAMi9AACSvgAAHD4AADC9AADgvAAAUL0AAKA8AAADPwAAqL0AALI-AAAsPgAAEL0AAIC7AABcvgAAgLsAAKC8AAC4vQAA4DwAADA9AADIPQAAmD0AAMg9AAAUvgAANL4AAKA8AADovQAAHD4AAMg9AAAEvgAAED0AABQ-AABQvQAABD4AAJg9AAAEvgAA2D0AAH-_AACIPQAARL4AADQ-AACaPgAAQDwAADA9AAB0PgAAqD0AAMg9AACYvQAAoDwAAIC7AADYvQAAcD0AAOi9AACoPQAAcL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=RrjbxkvK3Aw","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12210249706757079894"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"16866271064254746763":{"videoId":"16866271064254746763","docid":"34-5-1-ZF9C693005A21A962","description":"Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations #riemann #metric Intro Music Music by https://www.fiftysounds.com Background Music...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/911647/2b58b23d301a0eb23b9f6679db16d6dd/564x318_1"},"target":"_self","position":"10","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D4Zxdeo4y16k","linkTemplate":"/video/preview/16866271064254746763?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Riemann Sum || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=4Zxdeo4y16k\",\"src\":\"serp\",\"rvb\":\"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_E1KCBCQBgAQrKosBEAEaeIHuAfn9_AUA9vkGCQ0G_AEKAPAB9v__APYA9fQDAv8A7wAF_w0AAAD5_fICAAAAAPj6-w___wAAFfXwAAEAAAAZAv0A-AAAAA4L_AP-AQAAB_UI_QP_AAANFAkBAAAAAPsH_vwG-gH__ggDCwAAAAAH_gX_-_X_ACAALXGG3js4E0AJSE5QAipzEAAaYOIdACEf8vqQIjPsw8v06Qj5Jb4Fy-7_8sb_GxgQ0BEn1-roN__2tiDUoQAAABq4AusqALx1z9HNKEEDFNcD7SAJfwgpE-xO9B3yENe06z8mGre1HgAB3x4tA_jbMS8iWiAALR6MFzs4E0AJSG9QAiqvBhAMGqAGAABAwAAARMIAANhBAABQwQAAgL8AAADAAAC-QgAAAEEAAHTCAAAQwgAAMEEAACzCAADIQQAAAMIAACBBAACQQQAACMIAAGxCAAAQwgAA-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-EEAAMhBAAAQQQAA0EEAADTCAABQwgAA4EEAAAAAAACwQQAAPEIAANDBAAAgQQAAKEIgADgTQAlIdVABKo8CEAAagAIAAKC8AACovQAAJD4AAFQ-AACgvAAAbD4AAOA8AAAtvwAALL4AAFw-AADIPQAAML0AAIA7AABMPgAALL4AAAy-AACuPgAA-D0AANg9AADePgAAfz8AAFS-AAC4PQAAyL0AAEy-AADCvgAAUD0AAKC8AAC4PQAApj4AAEw-AAAkvgAA2L0AAII-AABQvQAAHD4AAEA8AAAUvgAAyr4AAIa-AACovQAAQLwAAIg9AABwvQAAgr4AAAy-AAAcPgAARL4AANi9AACivgAAgLsAACQ-AABcPgAALD4AAIa-AACgvAAAST8AAKg9AABAvAAAcD0AABC9AACovQAABD4AAJ6-IAA4E0AJSHxQASqPAhABGoACAACSvgAAVD4AAES-AABFvwAADL4AAFC9AACiPgAAfL4AALg9AABUPgAAcD0AAMi9AAAcPgAAQLwAAEC8AAC4vQAADL4AAAU_AABEvgAAzj4AAEQ-AACAOwAAHD4AAGy-AAAwvQAAEL0AAIi9AABUPgAAHD4AAIC7AACoPQAAiD0AAES-AADevgAAUL0AAIi9AAAkPgAALD4AAIi9AACAOwAAdD4AAPi9AADgvAAAqD0AAIC7AADoPQAAf78AAEA8AADgvAAA3j4AADQ-AACIPQAA4LwAAJY-AADoPQAA6D0AAPi9AADgvAAAgDsAAHS-AADoPQAABD4AAMY-AAAUviAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=4Zxdeo4y16k","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16866271064254746763"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10330452074985939774":{"videoId":"10330452074985939774","docid":"34-3-0-Z4E1360ADE2C1D3D0","description":"In this video, you will learn about the basic concepts of the Riemannian metric. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching. #mathematicalexplorations...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1580191/7c1354bce2cfec3f257872e49c37193f/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/brqeRQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_FJ5bBmiOgk","linkTemplate":"/video/preview/10330452074985939774?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Riemannian Metric || Riemannian Geometry || Tensor || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_FJ5bBmiOgk\",\"src\":\"serp\",\"rvb\":\"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_E4kGggQkAYAEKyqLARABGniB9wT6_voGAPII_QkPBP0B9gH4APn-_gD2APX1AgL_APv5CvoBAAAAAv3v_voAAAD1BQMI_AAAABQE9QD2AAAAEwsAAf4AAAAMBv_6_gEAAPb8_u8BAAAADP0EAP8AAAD1CgP6AgAAAP8HAwsAAAAADAYI-gAAAAAgAC1aVOQ7OBNACUhOUAIqhAIQABrwAX_cHgHi-OwB4_jvAM877QGgEgsA_S3YANHlEAG0EdH_-QsTAO3sDgAX4QUAvyT5_yDu3f8DzxL_HeghACL49v_zAxUAMOsRADsCFP8dAOj_4iAQ_wXyCAIV3NgC8Bb8_QzlDv_y7tr-_-nRAC3ZIgEQGhb_FBkD_-HRCwHqEg4C-PnN_hUb-wPy6PH73RccAfzn6QEMBPT71_b2AgfaCf3t5wj2GRjl_jEe_QLy8wQE9e70AQnlAwAIFw8E4gf39OryFfnd9vsA8fUTBPDpBQnmAPgFHgYAAwruCvsC9v782uDz-tEeDgfQBQEA-_ML_CAALf-5KTs4E0AJSGFQAirPBxAAGsAHLiCkviK42zxn81A5vqOGvezpeb2ixJ28KuAevgPuWT1zVY-8DOVUPvEBaz1f1TS9unC7vcaiabz1UNe7oOIoPlHbxrxEDjY8YtksvnICqjvDZAq9t7IkvikVwzxE0GK8O56APSjABr2RjOY6wX6-PfL3wb0XrW28_bPuu_h6bb1jFnC9l9SeO6xbmL2h0Je8uRd9PbeXNLx3HWA8VmynPf8IwzzVUsq8mO2Su9iIO7zwdnO81jEzvY1S-Dw0P8i8dWYsPaaLwzz_dKg8LNy9vcm_oDx_z1k8833nPNlA_DqJoMW83_zGPewb8zyHWT69bRwxPAhs97p2Y4s8l-QwvkRvLD3sgma87IbtPYz3gz1yW5E7yEUlvmnRgT2dCMe8Q3m6PLdSOb2soDO8ZJPcPW79TzxnMcw8JETZPR1yE70MtBg88jO_PKpr4zx0Yg89TR1aPWPNbbwkin-8_LF_PLxdar0BXxs8oBu1vNyPijwAD1Y8NEfWPfQ2NryhZz26MGwovF1gsD1pZUo5BSOlPdYCO75J5Zo6-limvctQkL0dp667A4IPvaSLzT17ut87ZfBhPWlRxLw_dP86jQuVOUUwub2I9s47QdgJPUJYor3kPyK6IY8AvtV7uj0ri6G6OnlsPHzzdjwu1ia8Dk-vPIM16TwD-Po7bcaKOkeakboFQh08dmanvJeG6zwdlAs7TBGaPUh9Yz06hV65F96LPSKZwDu3KJK70ClIO5MtHL31B1I71togPcrmJb35ZVW67q8OPp8Skb1-0JQ58DvhvCwv1DwR7iU7Gx97u2sWjj3CdGA5U7MnPdKQTL0zGpQ4HhGovc78Sr4Byw45dJaZvHUWxzzGJ_C4sCIevevwRjx2dJY5tu92vCPXDb1cvSS58e2SvfcZzD2JXZa48UWQPVKtTzyesr84TYbjPEQ8yLzlHSq5zsaKPKsvgb2PmA04D9Gqu2-eCj6gohm5zaezvDz0gjw0gH04xFY1PXlhxj225i64AFoQO9aXWzxrvCi4wUhZPaSRCr2N1iY4r9gZPPPalr1JWh-3ifC6PcMRpDznjKC4XAA6vgETjb1g8zG5TdpUvYb3lr03gwG3-KcUPgP6Tj0f9O02b7eJPEJRajyHQik4weMrPtylaLwHiXS5qp7HvXqdjr2STdU3i0g-vZf7Cb0Y3sW4lLSsvGytND0EGPO1YQZ5PfM6Er5L56m4QstfPWMatz1ukI44pU8rvWaGDT0Oq-e4fYmCvbTeND1FYT04B8mnvAI-ST0wAdi2IAA4E0AJSG1QASpzEAAaYBUBAA78Fc-2ESTTvLQADO7vFqgl2rr_48n_DRLY7ycM5MTjPgAI3x3upAAAADTd7OUHANx11MEwIhEOHtCz5RsLfwAoG9cHYgi3yQER7wkv9NTnNgAyA7guRd3NI10tNCAALfHxFTs4E0AJSG9QAiqvBhAMGqAGAAAsQgAACEIAALBBAACEQgAA2EEAACDBAAAMQgAAyMEAAMjBAADAwQAAkEIAABDBAACCQgAAJMIAACBBAADgwQAA2MEAAJDBAADQwQAA-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-EEAAIrCAAAgwQAAokIAAKBBAAAQQgAAwMAAAMDBAAAAQQAASEIAAEBCAACowQAAwMAAABDBAAAAAAAAgL8AAAAAAACAQAAAQEIAAIhCAADgQAAAAMEAAFzCAAB8wgAAwEAgADgTQAlIdVABKo8CEAAagAIAAAS-AACAOwAAnj4AAGw-AAAwPQAAoj4AAFA9AAAfvwAA-L0AAEQ-AAAwPQAAFL4AAEQ-AABUPgAAyL0AACS-AAA0PgAAED0AABA9AAC6PgAAfz8AAJ6-AADYPQAA-L0AAEA8AAA8vgAAuD0AAIg9AABUPgAAlj4AABw-AADgvAAAZL4AABw-AAC4vQAAQLwAAKC8AADovQAApr4AADy-AAA0vgAAMD0AAEw-AADYvQAAmr4AANi9AAAMPgAAyL0AANi9AAAkvgAABL4AAKg9AAA0PgAA2D0AADS-AACgPAAAKT8AAKA8AACYPQAALD4AAIA7AACCvgAAJD4AAEC8IAA4E0AJSHxQASqPAhABGoACAACOvgAAoj4AAMi9AABNvwAAqL0AAIC7AAB0PgAAir4AAKC8AAC6PgAAiD0AADy-AADoPQAAJL4AAOA8AADYvQAAbL4AABk_AAD4vQAAlj4AAJo-AAAQvQAAVD4AABS-AACIvQAAQDwAACy-AAB8PgAAQLwAALi9AACoPQAAQDwAAIi9AADGvgAA6L0AAJi9AADYPQAARD4AAKi9AAAwvQAAPD4AAKC8AABQPQAA4LwAAKg9AAD4PQAAf78AADA9AADYPQAAlj4AABw-AABQvQAAuD0AAIY-AACIPQAAmD0AAMi9AABAPAAAoLwAAHy-AABAPAAAPD4AAK4-AAAwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=_FJ5bBmiOgk","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["10330452074985939774"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3988009096"},"2726001812376844746":{"videoId":"2726001812376844746","docid":"34-10-6-ZEB87A721700293CC","description":"This event focuses on mathematical expeditions in history. How has maths shaped these historical voyages of exploration? This video is part of the British Society for the History of...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3092084/98ed0aa59f033d511e1b273498f88434/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/8jFd2AAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2cHD7Tn3NNE","linkTemplate":"/video/preview/2726001812376844746?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Mathematical Practice and 18th-Century British Voyages of Scientific Exploration","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2cHD7Tn3NNE\",\"src\":\"serp\",\"rvb\":\"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_wDj_Qr_Cf4B_wYC8vX2__4A7AcHAAL_AAD9Bfv6DgEAAP4I8wf8AAAAAwH5BfL-AQAOAP0D-wAAAB8BCf_6AAAABgP1Af8BAAD4AfwCA_8AABkO9Qb_AAAA-foDC_3_AAD-EAUBAAAAAAMeAgT_AAABIAAt9AnQOzgTQAlITlACKoQCEAAa8AF_xjgCzwoDAeQM6gDSBgUB9_HzAOIZ8wDBEyYBlAL3_kn6FAD_GBEBReg8Ab8E1v_YESr_HuH9AEIk-_9EJPYAARwUAScnKwEiFDECKS4KA_Qc3P8B8-r9P_QWAMArHP3QDen889MQACfk8AFU3O8DG-kOAPnj_gc56_v-5vNAAN3Q_Pnp6w8Iru0X_A0a_f_hAA0FzgcbAdDnGALtJv0A1DcPANvaKQMJ8NP-NwYS_NgR-AMZ7eoI8u0dAfcgAf_LyQX_H8___AAiFgH5E_AI7QoFC-fVAAL78vb36hH3_Pjx9u_y4AIQ8PcHCAYtBOwgAC0IaAw7OBNACUhhUAIqzwcQABrAByv71r6XV249Swk8PWGkFz4RhBC8iWQGvCXK3r0yLVu9ADGuu6o9Nr0wuMs8aZCCvCfe4T0HhAI6ZbeFPGdimj5OOpu8Gu9YPCbjWL4SyBu8Ksm6PEzEO76CnEW7VjLXut2P5byZeBE9GNmEvN81R7tOuDe9ZS6VPB0ELT6FwMA8PmgsvKJi3D11VrC891gavc4Xgz50C9m6fZyfPGtr_rvKbbu8SRkMvAk9gT0iYZ49qhXBPDnKhj2dsr-8Nv5NupPpmz1K6go8zf7lu_JdCj7jUle6GvW1PEW3Dr7m3YI9DsybvPe3uryFppk7y2e5vCvh5LzEkaw7ZjvVPIg6kr1_nUC9RGHhvN_F-7x0R5o8p0GRvAiOy71CTSG8Zn4avLE3zDwydoI8ivU_uhzz1TwzV-G85y6uPNa4rT31wY29C-SjPKzizT3V5gS99nmxPO88Eb7WwWY9G28CPMKKrryyl6K9GIdpO1WPur2-OTc8F5klvG2OMz1V-j06pIvNu8zJpT3Xfpc8hf6yOyRenrti-Oi9UxhnOxmKYDzfbkk9vzR7POXDwj1XUrg8jMecO5Fk9j1po1-8AJOSuxjsxjw7M7a9oOEsOyn0cD1IXDa8QpygumN0Zbvtlsm8aQ4cu0SnQj24huO834A_u8w3vL0KeY68CMTvO-3hkT1WOR69FYWCu4pQNjxnGG296MhCO8wucz1QGb88Xb4aOzGhWL1A-2w89WOqOffqI73WKcU8vPpHuj2CCz5KD149K6aVOVG0fL1Bdsk7ZDdzuI0lEb27jOw8FCCOuvx99bwc-Ge9GEz0OFU6s7xcwZu8rim2uQPffr21NUI9qoiJuaoBdD31e2e9ERHluXOJwDpkLMk8Mx80OPaQOrwLVmY8PVeEOeAsxb2mb8g8zqQKuXuzuDtf9kY9NKPduAF0br354oa944mDOBIxJT0Uiyk97fRPuYY-o721AF86cUTwN76eFD1Iccy7-L-duZ08hr36x8w9hGFhuS7wa72p2YO9RVxbNwasi7zGdBy9BqUiuNPPCDxmMdG9PkuXNqUl4DxBsfo8QDvTuKi3cD2-_Km9XXMiOWANZr0Sj588PYe_OJ1wpTzZlwy9Iwl3uCx5Ib0cD4G992W5N7_utL1wyoE7KUSot5-ubr1X8Nc7Bpvut-D_nT01Bh88ho3INvnGZr3fkpK9u88CN4LIAj45oMC9PAE_ONGvzT1Mgqy9OAhqtxt31DzTJ2M9pTSguAahfL1gHIE8YXy1N03yyDySLxe9sowVuCAAOBNACUhtUAEqcxAAGmAS_wAQGPAo0d5F68Xly_74yxT1B8cM__PI__js_t76H8-97iD_DY_ED6MAAAAHuv1J-gD_fezQkw75tPIjvtH0F3_j6CDhCewssvak7e4EIPTUFRAAA-q-TVUExgQLRDQgAC1HohQ7OBNACUhvUAIqrwYQDBqgBgAAgL8AAETCAABEQgAAEEEAAKDBAABQQQAA2EEAAI7CAAAQwQAA8MEAAKDAAAAAAAAAGMIAAJBBAADAQgAAfMIAADDCAAAAwQAAHEIAAIjBAAAIwgAAWEIAADDCAACCQgAA0EIAABRCAADIwQAAhsIAAJJCAAB0QgAA4MAAAADAAADwwQAAoEAAABjCAACgQAAAYMIAAPJCAAAAwAAA4MAAAAhCAAAkQgAAIEEAABhCAACiQgAAKEIAAIDAAABMwgAAWEIAANDBAACIwQAAAEEAAJhBAAAAQAAAYMIAABTCAACgwAAAoEAAABDCAAAMQgAAMEIAAKDAAAAkwgAAcEIAAMBAAADoQQAAqEEAADDCAABQwQAAAMAAALhBAACOQgAASMIAALhCAAAAQQAAuMIAAIC_AADoQQAAgEIAACDCAAC4wQAA0EEAAIhBAADwQQAAuEEAAAxCAAAkwgAAgMAAAChCAAAMwgAAuMEAAFBCAAAAQgAAeMIAALhBAACEwgAAFEIAAKBCAABkQgAA0MEAAJjBAAAYQgAA4EAAAFDCAACwwQAA2EEAAABCAABQwQAAMMEAAFhCAAAAQAAAIEEAAKBAAAB0wgAAXEIAAIpCAABgwgAAQEEAABBBAADgQAAAjMIAAIDAAADAwAAAmMEAAORCAAAAQgAABEIAAKBAAAAYQgAAwMEAAIBBAADgwQAA8MEAAGhCAAAgwQAAEMIAAFBBAABAwQAAcMIAAIrCAAAgQQAAMEIAANBBAADIwQAA6EEAALhBAABgQQAAREIAABBBAACwQQAAyEEAAIC_AADIwQAABMIAAADBAADQwQAAKMIAAFDCAACAPwAApkIAAEDCAACIQQAAosIAAIBAAADgwQAAwEEAALBBAACgwQAAQEEAADDBAACYwQAAmEEAAEhCAAAMwgAANEIAAIA_AADgwAAAkMEAAHRCAABUQgAAPEIAALjBAAAswgAAOMIAALBCAAAAwgAAgD8AAMhBAADAwAAALEIAAMhBAAAUwgAATMIAAEDAAAAAAAAAAAAAAMjBAACgwAAAlMIAAIDBIAA4E0AJSHVQASqPAhAAGoACAACYvQAAVL4AABw-AABMvgAAUD0AAMI-AACSPgAAYb8AALK-AACGPgAA-D0AABy-AACKPgAARD4AAAS-AAC6vgAA1j4AAOA8AAA0PgAAOT8AAG0_AABEvgAAfD4AAKC8AAB8PgAAcD0AACQ-AABwvQAA2D0AAPI-AABkPgAAUL0AAJa-AABAPAAAHL4AAIC7AACovQAAHL4AAI6-AAA0vgAAnr4AANi9AAAwPQAAmL0AAL6-AABQvQAAND4AACy-AADWvgAAmr4AAIq-AAAcvgAAnj4AAJo-AADovQAAUD0AAH8_AAAQvQAAED0AABQ-AACgvAAAqL0AAKg9AADIvSAAOBNACUh8UAEqjwIQARqAAgAATL4AAFC9AACgvAAAQ78AAAy-AABEvgAAiD0AAMi9AAAkvgAAyD0AABC9AACCvgAAqD0AACy-AABwvQAAgDsAAKI-AAALPwAA-D0AAKo-AAAEPgAARD4AABA9AAAUvgAAQLwAABA9AACYvQAAcD0AAOi9AABUPgAA6D0AABQ-AABQvQAA2L0AAOC8AABQvQAA2D0AAAQ-AAA0vgAA4DwAAGw-AAAwvQAAHL4AAKg9AADovQAAND4AAH-_AAC4vQAAqr4AAJg9AACiPgAAED0AADA9AABkPgAAFL4AAMg9AAAwvQAAZD4AAKA8AABcvgAAgDsAAEC8AACovQAAyL0gADgTQAlIfFABMAk4AUoAUgkIDxCSAhgAMAFgAGgA\"}","related_url":"http://www.youtube.com/watch?v=2cHD7Tn3NNE","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2726001812376844746"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1238147574"},"10266318591294389122":{"videoId":"10266318591294389122","docid":"34-8-10-Z4B1992E3C16CB68F","description":"The Desmos Graphing Calculator is the calculator of choice for state tests in 40 states including Indiana. Students should be comfortable using it. But students can also use this amazing...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3183343/004bc24d0e75fe49150602dd0ba67c78/564x318_1"},"target":"_self","position":"14","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdJxvN4349Q0","linkTemplate":"/video/preview/10266318591294389122?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Exploration with Desmos Graphing Calculator","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dJxvN4349Q0\",\"src\":\"serp\",\"rvb\":\"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-Pz7Av4A-P75BA4F_QEeAvr_AwIDAOUP_PgI_QEA_wQO8wgBAAAUDPwLBgAAAPAG6wr-AAAABv739AQAAAAe-QL0_QAAAAIW8_f_AQAABP4GCgP_AAAX_gYDAAAAAPIA-QMDAAAAAxEBCAAAAAAUCwD7AAAAACAALY5Oyzs4E0AJSE5QAipzEAAaYPcZADtSFg3AHTrX_PDr9vv6DefpwAP_8rgAAwkL5QD7vLTwIf9K0RfprAAAAA325Rb_AAFr0NjD4BPO7NXP20UofzQ5AgsYCAfhANb_-Oz95u3rPQDZCPEuSN27PfMyGiAALZSzJjs4E0AJSG9QAiqvBhAMGqAGAAAQwgAA6MEAAKDAAADgwAAAoEEAADBCAACUQgAAIMEAADjCAADIwQAA2MEAAGDBAACawgAAgMEAAHxCAAAIwgAAmMEAAGDCAADQwQAAdMIAABhCAAAEwgAABEIAADhCAACAvwAAEEEAAIbCAACswgAAtEIAAPBBAACQQgAAYMEAABjCAACgQQAAAMEAAADAAAAIQgAAkEEAAIDAAACAQAAAuMEAAHBBAADYQQAALEIAAJxCAABswgAAwMEAACzCAAC-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-AABEvgAAQLwAADC9AADgPAAAPD4AAI4-AAAlvwAAsr4AAIC7AACAuwAAfL4AAOA8AADKPgAAmL0AAAS-AAAbPwAA-D0AAOC8AADaPgAAJT8AALi9AABQPQAAZD4AAKC8AACIvQAAVD4AACS-AAAQPQAABD4AAIY-AAB8vgAAgLsAABC9AABAvAAAED0AAEC8AAB0vgAANL4AAFy-AABMvgAAEL0AAMg9AAAQPQAAmr4AALg9AABwPQAAir4AAHy-AADYvQAAUD0AAGS-AACCPgAAED0AAIa-AAAQvQAAfz8AAOo-AACAOwAALD4AAOi9AACmPgAAQDwAABy-IAA4E0AJSHxQASqPAhABGoACAABMvgAAmj4AAOi9AAAxvwAA6L0AAHC9AACCPgAAqD0AAMg9AAC4vQAA4DwAADy-AADIvQAARL4AAAw-AACgvAAAcL0AALY-AAAkvgAAhj4AACw-AAC4PQAA4LwAAFS-AACgvAAAqL0AAGy-AABQPQAA-L0AAKC8AABQPQAALD4AACy-AAAkvgAA4LwAABy-AABUPgAAgj4AAIa-AABAPAAAuD0AAPi9AACAuwAAJD4AACQ-AABQPQAAf78AAPg9AAC4PQAALD4AAFQ-AACAOwAAoDwAAMg9AAA0PgAABD4AAIi9AABUvgAAmD0AAKC8AACAuwAAQLwAANg9AADgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=dJxvN4349Q0","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10266318591294389122"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7127330393005794429":{"videoId":"7127330393005794429","docid":"34-7-15-ZB08081514C654572","description":"Enjoy the videos and music you love, upload original content, and share it all with friends, family, and the world on YouTube.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/876582/8115a72d8c99cd5fe8148fce53c1cacf/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/iLGLRgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DvGJU-rq7Q30","linkTemplate":"/video/preview/7127330393005794429?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"math explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=vGJU-rq7Q30\",\"src\":\"serp\",\"rvb\":\"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-f38BQD0-AgBAgT-AQsA-_r3AAAAAAjv_gME_gD4AAX6BwAAAAf-8ggCAAAA9gT6AgL_AAAPAfj8BAAAABv8AgMCAAAACg4DAP4BAAD8_AoEA_8AABAN_f3_AAAA_gj-AAIBAAAIFQb-AAAAAP8H_v8AAAAAIAAtcYbeOzgTQAlITlACKoQCEAAa8AF_7CEBzPzm_-zl-QCiHOn_rRsJAAgv8gDEJA0B6RHTARz2Af_rACAAFRwEAJUQ7wEF9-8A3MQNADne_AAu6fgAmxUfACzp7QAcCwD_DN78_-w0D_7t7BsCEwfR_QcM7v7x9An-DfYB_tTYyAYj-y0B9c_1BCsS9gEA1QkF6QTrAPf4yP76K_gBCuEO-OL1LgcCCfcHLSke_tsr9AIsBPL8DewJ_RAV8wAf8-EF-e0PBdLj5_zl7fwB8-4bAdMe-AfRCx0BzQkFBQgMCP8i9ef79QDrAwcJ3AvxERIE_swJ9wMSAv8HGAb7-ekD9CDM-fUgAC1U6Rg7OBNACUhhUAIqcxAAGmAiAQA2KCAc8OtH2erH6iH34_PIHdzv_9qI_wATNBgJ89HiEPIAR9JF0Z8AAAAg-gDrKwDrf7HS9ibo8C-z4cwtGFJBNArt7w9F8QPZ1v3xJSbR9zwA3Pi4ZCoN2RojQR4gAC0Z0hk7OBNACUhvUAIqrwYQDBqgBgAAoEEAAKjBAADgQQAAsMEAACjCAADwQQAA-EIAAADBAABAwQAAXMIAAEDAAACoQgAAAAAAAOBAAADYQQAA-EEAAMxCAAC4QQAAZEIAAGzCAADgQQAAQMAAAAAAAABQQQAAAAAAAKhBAACQwQAATEIAAHRCAACiQgAA6MEAAAAAAADYwQAA4EAAACzCAAAIQgAAkEEAAPBBAADIQQAAFMIAAMhBAAAsQgAAIEEAAFhCAAAsQgAAIMEAAIhBAADgwAAABEIAAOjBAADwQQAA0MEAADDCAABAQQAAEMEAACDCAACAwAAA-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_AADIwQAAqMEAAMDAAABAwQAAUMEAAIjCAABEQgAAVMIAAI7CAACAQAAAsMEAANBBAACAQAAAAMIAAODBAACIQQAASEIAABBCAADwQQAAdMIAABzCAABQwgAAgD8AANBBAACWQgAAMEIAABDBIAA4E0AJSHVQASqPAhAAGoACAABMPgAA6L0AABw-AABwPQAAQLwAAOg9AAAwvQAALb8AAFS-AACSPgAATD4AAGy-AACgPAAAXD4AANi9AAAwvQAAkj4AABQ-AAAQvQAAij4AAH8_AAAMvgAAEL0AAAw-AABUvgAAmr4AABC9AABsvgAAlj4AABw-AAAEPgAA2D0AAEC8AAAUPgAANL4AAOC8AABQPQAAgr4AAIa-AACovQAAQDwAAIK-AAAkPgAAiD0AAHS-AADovQAADL4AAHC9AADgvAAAmL0AAEQ-AACYPQAAwj4AAEQ-AACCvgAAuD0AAF8_AAAwPQAAiD0AAEC8AADIvQAARD4AAEQ-AAA8viAAOBNACUh8UAEqjwIQARqAAgAAiL0AAMi9AADIvQAAPb8AABC9AABAPAAAdD4AAOC8AAAQPQAAMD0AADC9AACgvAAAMD0AAEA8AAAEPgAAiL0AAJi9AAD6PgAA-L0AAM4-AACgvAAAUD0AABC9AAD4vQAAcL0AAFC9AABAvAAAmL0AABw-AAAMPgAAgLsAAMg9AACAuwAAfL4AABC9AAAwPQAAiD0AAAQ-AAC4vQAAyD0AACQ-AAAQvQAA4DwAABw-AACYvQAAQLwAAH-_AADoPQAA6D0AAMg9AACYPQAAcL0AABw-AABQPQAA2D0AAOg9AACgPAAAir4AAFA9AAAEvgAAuD0AAOA8AAAwvQAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=vGJU-rq7Q30","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":480,"cratio":1.33333,"dups":["7127330393005794429"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3460318785"},"5965602638482009725":{"videoId":"5965602638482009725","docid":"34-11-15-Z60DA13B31F057A98","description":"-- Created using PowToon -- Free sign up at http://www.powtoon.com/join -- Create animated videos and animated presentations for free. PowToon is a free too...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1841219/5ab6a37061c2a1146d5b95dddd92b636/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RJhGBAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DLTVAoWKXOKU","linkTemplate":"/video/preview/5965602638482009725?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"math exploration","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LTVAoWKXOKU\",\"src\":\"serp\",\"rvb\":\"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-APsE_wEAEwn8_PUCAgD2APX1AgL_AAYA_PwHAQAAFAfwCAAAAADx_fL9AgAAAAQB9v4DAAAAEf4A-f8AAAADCgL6_gEAAAMCBwED_wAAEgQB_f8AAAD5AfoK_wAAAPYUBvoAAAAA-wgHA_8AAAAgAC0SBuA7OBNACUhOUAIqhAIQABrwAX8N3gDxEwwC4-XnAJ8bBwCsCf8AKP_ZAN4lOP_fCvgB1A3mAN8D6wAm6hX_tAQkASwC8AAq2h8AHPcaADwf9wD4_zABEfoNAAwJ-wDhDM0ADAkbABLfGwD81_oAHxf2_hQdEv3EFOb_9OkIAC_XJAEV_f4JFAwiAybVAgLZBxIDC9PZ_gjy-wAIFOT-2wQgAgXwB_z8IeD6xOX5AAr-1wEW0gECAA72BfbZLf3_1vwA8Qzg-PXr5Qjw7e7_4hcjARoFIAD7_u8E8RQI8Sbp-AD59fr9APv19PEP7RLu0PQC_wf38BEPC-zUFgoQ5CkQByAALeSKHzs4E0AJSGFQAirPBxAAGsAHEW6avlXmnLxDFoC6S1usvYrEaT3fxTs9NUVAvoOVuTysogk8XWKWvbsvAj28UbW8-MGBvn_o-LxEaU89yjI0PhH3vTyZEiS9H7y2vabthLzOQnE8sTRQvXCVJ73J2Nq8wF9MPvKl5jzXtAC5E8sXPVL5nT2-WoM7D_EvvsQ6-jrHXOM809gOvnz0QT0mas48HnD9PXeAq7vR7xi77DRSPtm7-bu-f5g7xQDoO9_mqLzf3x48fc-ovfbaBzz0QBi8WkqGPisl1TyIhM67dzvxPKjfhTzng-88PPnEvfyFs713v4q8rGMLPQ0GMjxa7Ju8_MPWPWaAjzv78he8yqk9vtsWtT20TPu499a2Parw1DloVwQ7vUDEPeIgkT2hbOU8WXrDPQHD0j21H6U7ws24Pdf5p71AbZK7F1z9vJQ8LT1f4e47jUolPdYjKD0s85Y8DTXqPR9HE71MitY5uF-pvV2H6jxjY7k84ngOvsBq-jtU9fq6u9ToPdV5VDycpfc5LbgaPS2ZvroyHEA6bp6PvVYhn70XYIQ8ILffPQSQ2r0zAw27qs-6PGO4-rwqJLI6SmmMPU9YEj5mU2i7BgqjukL1ZT1Q0Fy83035uuNMOL1lGcG6UAKmvXofQj0EwUq7iOOvPC9TbrxN8uU7bHg6vToG5D0bQMe6cPWXvRBNqryc4_W7x514OerhcD3MQIE69ahOvaEnijzixSm7x6FZPJQ2sLyimq87zwSUPDR6j70nmQi6vHt7PaRxiD2xWsG5PL3yPUrIUb1XwY45HHoLPeLGEjxNLyi6IUtwPe2Dpz3LUF25BF-HvMWaIL1G4T85ixSvvMDFVDzyu9y5QwiDvUOWoLxfpwG6rIvbPDiWwT07YIQ5Oun9O-13Db2H7Wy5011jvbvnCj0uuo84lI5tPaWF670K5qq44xfevRIIRzvUO3y4tLDlu9t7Ir2AHPA4vC-dvIuBnz3Srmw3ojXQPAhkZTyLKMQ39EKLPJOc3TtnCj03ZvOtPULy6byySJw4F34wvTFUz7zdzBe5EKyvPdvD3r3Inzy4jHMKvRbqHz1P-Yo4_wxKu9A_pLseE0c4HeyIPW8hmTzbkDw4cxP1PSymmD11RyI35S-IvHTudj0J9Hk488-3PftNUj3ELCK5sFUSvq2KsDx8a8e31V2ZvBGXgr0HcQO4Bfrkve0Gdj0qe884L0UDvavpWr0tMPS3MKb0O_iwEbwpULQ3RIKOvP6EjjztorW4d2quPAoLk7wdWh03xEDXvJgGNLyrgL42IAA4E0AJSG1QASpzEAAaYAsJADZBMPX280HS49L6ExbfDcge4Q7_Fqr_F_UhHtISq-AuE_9g3kHvpAAAACD0AgD0AP9_mtO--9Lw4rbA5Cz8ewo0MNAT5ETvB-Hh2hH-N9YXGAAh7b1u7NbQWictHiAALZhNEjs4E0AJSG9QAiqvBhAMGqAGAAAYQgAAQMEAAIxCAABgQQAA4MAAAJJCAADAwQAA0MEAAKjBAACewgAAcEEAAAzCAADAwQAAoMEAAEhCAAAAQAAACEIAACTCAACAvwAAyMEAAEDAAACkwgAA-EEAALBCAAC4wQAAkEEAADDCAAAMwgAAFEIAALhBAACWwgAA4EEAAKjBAAB4wgAANMIAAEzCAACgwQAAkkIAAJZCAADgwQAAiMEAAAxCAABIQgAAFEIAAODAAAAEQgAAIEEAALhBAAAMQgAA-EEAALDCAAAgwQAAnsIAABhCAABAQgAABEIAAMDBAACYQQAA6MEAADBCAADgwQAAFMIAAFzCAADgwQAAaEIAAGDBAADQQQAAMEEAAIjCAADIwQAAMEIAAIxCAADQQQAAmEEAAMDAAABEwgAAvMIAAJLCAACAQAAALMIAAEDBAABMQgAA0EEAABRCAABswgAADEIAAEDBAAAUwgAAUEEAAARCAACIwQAAJEIAAIDCAACQwgAA8EEAAKDCAAAQwgAAqEIAALBBAABAwQAAZMIAAFBBAAAAAAAADMIAACzCAABYQgAAiEEAAIJCAACAQQAALEIAAOBBAACowgAAIMEAAABBAAAgQQAAcMEAAOBBAAAUwgAAsEEAACDCAAAQQgAANMIAAMDAAAC4wQAAwMAAAADBAAAgQQAAkEEAAABBAAAYwgAAcMEAABhCAADOwgAAAEAAAKBBAADYQQAAgD8AACzCAADYwQAAYMIAAIC_AAAgwQAAYMEAAEBAAAAQQgAAMEIAAODBAAAQQgAAIEEAAGBBAACowQAAiEEAAGBBAAAEwgAATMIAALDBAAA4wgAAwEAAACxCAADgQAAAgL8AADxCAACowQAAoEAAAJjBAABgQgAAkkIAAIA_AAAowgAAisIAABzCAACgQAAAgEEAAJjBAAAAQAAAiEEAAKDBAACGwgAADEIAAJpCAAA8wgAAIMIAAFTCAACAwAAAREIAADxCAABowgAAVEIAAADAAAAAQgAAMMIAAEzCAAAgQQAAIMEAAIrCAAAkQgAAqMEAAEBCAADgQAAAAAAgADgTQAlIdVABKo8CEAAagAIAAIg9AAAkvgAAFD4AAJo-AAAwvQAAUD0AAEA8AAAbvwAAfL4AADQ-AAAMPgAAkr4AAEC8AACSPgAAQLwAABC9AADaPgAADD4AAHC9AACSPgAAfz8AAAy-AACAuwAA4LwAAIK-AAB8vgAAqL0AAPi9AACKPgAAbD4AAHw-AACYvQAAqL0AAAw-AAAQPQAAmD0AAFC9AACKvgAAjr4AAKC8AADIPQAAlr4AAPg9AACgPAAAVL4AAOC8AABAPAAAmL0AAGy-AACSvgAAUD0AAFC9AACePgAADD4AAPi9AADYPQAART8AAKA8AAAQPQAAMD0AAKi9AAAcPgAAND4AACS-IAA4E0AJSHxQASqPAhABGoACAACYvQAAqL0AAFy-AAAzvwAA2L0AAFC9AACSPgAAoLwAAMg9AABQvQAAmL0AAIC7AADoPQAAMD0AACw-AABwvQAAQDwAANo-AAAkvgAA6j4AAFA9AAC4PQAAUL0AAKi9AADIvQAAyL0AAIC7AABwvQAAHD4AABw-AAAQPQAAqD0AADC9AABkvgAAcL0AAMg9AABQPQAADD4AADC9AAAUPgAAZD4AAIi9AADgPAAAXD4AAKA8AABQPQAAf78AAIg9AABAvAAAcD0AAOg9AABQPQAA6D0AANg9AAAQPQAATD4AAOC8AAB0vgAAuD0AABy-AABQPQAAiD0AAIi9AADovSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=LTVAoWKXOKU","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":854,"cheight":480,"cratio":1.77916,"dups":["5965602638482009725"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1484311458"},"5202519878043009895":{"videoId":"5202519878043009895","docid":"34-9-13-Z2D220C419B829AB6","description":"In this video, you will learn how to write the symbols of Number Sets in a LaTeX document using Overleaf. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2111277/6e2efb8a33a761b6209032d1a5e65b8b/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/dMVCvAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DBCLMdlyi0Tw","linkTemplate":"/video/preview/5202519878043009895?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Number Sets in LaTeX || Overleaf || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=BCLMdlyi0Tw\",\"src\":\"serp\",\"rvb\":\"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-AwD7_g0E-wb9AgsA8AH2__8A9QYC_wcC_wAC-wT6DgEAAP4H9Af8AAAAAPQAAwD-AQAVBPQA9QAAABMABQT8AAAABRQA-v4BAADyAgwHAwAAAAgPAgsAAAAA7Pz__QIAAAD_BgX9AAAAAAX9AvkAAAAAIAAtnXXbOzgTQAlITlACKnMQABpgChUALjvu-dzUM-j00uUOB7otv_rKLP_2v_8W3xXdCwawy-ke_1C6Jt-fAAAAINgHLDYA4X-mtp4qJv3xpM7YCAx-zv0Q-hrWJer46-0oC0EG3eVTANXm6R9AA9j6JCMqIAAtcLsUOzgTQAlIb1ACKq8GEAwaoAYAAFDBAABwQQAAYEIAAEBAAAD4QQAACMIAAGBCAABEQgAAGEIAAJhCAABwQQAAfMIAANrCAACAvwAAiEIAABDCAACAvwAAOMIAAOjBAADQwQAANEIAADzCAAAcQgAAgMEAAMBAAABAwQAAyMEAAIDCAABkQgAAEEIAAMjBAABQQgAAwMIAAIDAAADAQQAAAMAAAABBAACAQgAAAEAAAADBAACAPwAAAMAAAEBCAADIQQAAAMAAAOjBAABQwgAAcEEAAChCAADAQAAAuEEAAMDBAAAAQAAA0EEAANhBAAAEQgAA4MAAAIC_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-EEAALBBAABAQQAAQMEAAFBBAACOQgAAoEEAAEDCAABEQgAAhMIAAEBBAAAQwgAAQEAAAJjBAACwwQAAJEIAAGhCAADowQAA4EEAACDCAACGwiAAOBNACUh1UAEqjwIQABqAAgAAUL0AAOA8AAAwPQAA4LwAAPi9AACaPgAABL4AACW_AACKvgAAqD0AAIi9AABMvgAALD4AAHQ-AAAMvgAA-L0AALI-AACoPQAAmD0AAMY-AAB_PwAAPL4AAGw-AACAuwAAyL0AAES-AADIPQAA4LwAAAQ-AAB0PgAA-D0AAPi9AACIPQAAuD0AAFC9AAAwPQAA4LwAAFy-AAAsvgAAir4AAFy-AACovQAAHD4AABC9AACIvQAAEL0AAMg9AAC-vgAAfL4AAJa-AABkPgAAdD4AACw-AADoPQAATL4AAFC9AAAbPwAAjj4AAEw-AABUPgAAoLwAAIC7AAAMPgAArr4gADgTQAlIfFABKo8CEAEagAIAAPi9AAB0PgAAyL0AADm_AACmvgAAXL4AAMI-AABAPAAA6D0AALg9AAC4PQAAPL4AAOg9AAAEvgAAiD0AANi9AAD4vQAADT8AAMg9AADOPgAAiD0AAEy-AADgPAAAfL4AAEC8AABAvAAAML0AANg9AABkPgAAmL0AAOi9AADIPQAATL4AAIq-AACIvQAA-L0AAGw-AAAUPgAAUL0AAFA9AABMPgAA6L0AAKi9AAAEPgAAED0AAEQ-AAB_vwAAHL4AABy-AACGPgAA2D0AANg9AACovQAAyD0AAIg9AADIPQAA2L0AAKi9AABwPQAAyL0AAEQ-AABwvQAAQDwAAAy-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=BCLMdlyi0Tw","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5202519878043009895"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3203940870"},"8915854369460980449":{"videoId":"8915854369460980449","docid":"34-11-3-ZC67246AFEF3F691E","description":"In this video, you will learn how to write powers, indices and fractions in a LaTeX document. Don't forget to LIKE, Comment, Share & Subscribe to my channel. Thanks for watching...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3802574/10deecc96c044dd0286c0384767d7150/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/s674LQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DyfpKhQjyB1g","linkTemplate":"/video/preview/8915854369460980449?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Powers Indices & Fractions in LaTeX || Overleaf || Mathematical Explorations","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=yfpKhQjyB1g\",\"src\":\"serp\",\"rvb\":\"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_AYIEJAGABCsqiwEQARp4gQIFAv7_AgD6BBgG_Af9AgYC8vX3__4A8QH3AgcB_wAE-g_-BgEAAAQG9wECAAAA_fj3Avv-AAAZBfD-AwAAABb5AA35AAAADhn7Av4BAAD3AQr-AgAAABQRAQr_AAAA9P4EAQEAAAD_BwX9AAAAAAYDAQAAAAAAIAAtMyDXOzgTQAlITlACKoQCEAAa8AFPA8P9IvgUBKYI3wDb__cBge0c_xbqAgDb49oA0f_uAd3x0_8D_B__BAMGAKwQCwHYD90AJDkIARv4GQAL-x7_GuXZACnq7wALG_kA1Qvz_-IhEP8e7QUAKcLxAiULAP0t9fX73PfmALHPCgEdEyIB9fD3ATcU_f_r9hX_2S_2ANviBQDy9v7-0Qv__goJBf4ZMfkBPS74AxTxEfoC6ukGHQUR_fIG_frzKRf_8_gM99n-7_8aARUKAwgLAwghIPoPAQz__v77-gcLCP8P8Pj4_R7yCAjU-QHw9fP_AAsF_ffeDfnbHQ375wsY_gYEAfsgAC1BWiU7OBNACUhhUAIqcxAAGmALBwA3Nge20fwz6frI0_Xs31DAEsFP_wnF_yLw7dgA9LrDChP_Lb4q_p4AAAAy6_wtHADuf8y_2xDh-fi0mOcv-3W1-UCmOggq7-wx4gwfCuHEAzoAz-TiLivzqQcWCSAgAC1TCBI7OBNACUhvUAIqrwYQDBqgBgAAQMEAAIBBAACMQgAAAMAAACRCAAAYwgAAGEIAADhCAADIQQAAjEIAAOBAAABQwgAAzsIAAIC_AACIQgAAFMIAAADBAAA0wgAA8MEAAOjBAADwQQAALMIAADBCAADgwAAAAEAAAADBAABQwQAAisIAAEhCAAD4QQAA8MEAAI5CAACqwgAAEMEAADBCAAAAwAAAQEAAAJRCAAAAAAAAEMEAAIA_AAAAAAAASEIAALhBAABAwQAA8MEAADzCAAAwQQAAGEIAAIA_AACIQQAAUMEAAIBAAABAQQAA2EEAAMhBAADAwAAAgMAAAERCAAAYQgAAIEEAAI5CAADQwQAAuMEAACxCAADwQQAAtkIAAOjBAAAAAAAAQEIAACxCAACOQgAADMIAALpCAABAwAAAlsIAABTCAAAgQQAATEIAADBBAACQwQAA2EEAAAxCAACsQgAAoMIAAPDBAADgwAAAgEAAAFTCAACowQAAQEAAAPBBAABIwgAA-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-AADgvAAAO78AAMa-AAAMPgAAQLwAAIa-AAA8PgAApj4AAFA9AAB8vgAAfD4AAKA8AABwvQAACT8AAH8_AADovQAAij4AAPi9AACovQAAHD4AADA9AAA0vgAAPD4AAKo-AABsPgAAML0AAKC8AABkPgAA4LwAAHA9AAC4vQAA6L0AAHy-AACKvgAAgr4AADC9AAA8PgAAQLwAAHS-AABAvAAA6D0AAPa-AACCvgAAqr4AAIi9AAC4PQAArj4AACw-AABkvgAAgLsAADc_AACYPQAAXD4AAJI-AAAMvgAAQDwAAGQ-AAC-viAAOBNACUh8UAEqjwIQARqAAgAAmL0AAFQ-AADgPAAAN78AAIa-AAAQvQAAvj4AAEA8AAC4vQAAXD4AAKg9AACmvgAAFD4AAEy-AACIPQAAyL0AAFA9AAAZPwAA-D0AAI4-AACYPQAAqL0AAMg9AAAsvgAAQLwAABC9AADovQAAmD0AACw-AABwvQAAUL0AAKA8AADYvQAApr4AAOC8AAC4vQAAJD4AADQ-AACIvQAAiD0AAFw-AADgPAAAMD0AAHA9AACAuwAAfD4AAH-_AABQvQAAmL0AAJY-AACKPgAAED0AACQ-AABQPQAAUD0AAKA8AACIvQAAoLwAAHC9AABkvgAAHD4AAAw-AAAQPQAAuL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=yfpKhQjyB1g","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8915854369460980449"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4154986046"},"2934355608334301506":{"videoId":"2934355608334301506","docid":"34-9-16-Z1F0A8D45DE985570","description":"This is a recording of a live class for Math 1015, Mathematics: An Exploration, an undergraduate course for non-technical majors at Fairfield University, Spring 2022. The major topics are voting...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3131974/767d34d0219d739444cda6359c4aef93/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/yW29MQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dkpb4LZsn3HE","linkTemplate":"/video/preview/2934355608334301506?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math Explorations Ep29, Nearest Neighbor Algorithm (Apr 20, 2022)","related_orig_text":"Mathematical Explorations","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Mathematical Explorations\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=kpb4LZsn3HE\",\"src\":\"serp\",\"rvb\":\"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_AcI9wAD_wYBDwb-AgMX-fn1__8A7wL2AggB_wDm9fn5Cv8AABcI7QoAAAAABvoI8_r9AQAYBPIA9AAAAAb_AxD0AAAA-hL5__4BAAAI8wn9A_8AACn2_Pj_AAAABAkAAwj6Av8BGwL0AAAAAP0MB_f_AAAAIAAtBA-8OzgTQAlITlACKoQCEAAa8AF_-SgB2_auAbILAADsOeYAuwUe__gg7wDWFxQAphTI_u4IBQD7APn-E_HhALXe1_4EGfH_4_LdATXIIv8i3w8A3wMPAR0DAgNeBx4AG9jX_toQHf_kDg8A9_PPABgl-gIe3gT-HR3I_uwDwAIQ_kAB3hEa_9v54AP96P8A7PYPBvb4xP4PH-gC1ugJ-AMMNP4dySEAARYC-eDu0f4J8Pf-D9UN_AQa4wUJ6-cIwisN_wDc9_n73gsPBAcu_sL43__76Bn-2coK9xP2HwfoEgD32fHvAhcO-xMWAhoE4PUEBAjN7PG7LvkFFQzzDfXm8OcgAC3nWA87OBNACUhhUAIqzwcQABrAB2oW0L6slBk9Uw33uwhojTv0jH29u892vbzK2r1AGMM9Ik-zu6DiaD4Ljv06MNYaumg3j70mftY8QPyXvMVVhT5UMG-9m38qvFjH0b0MvIk8bAN8vReho70Z9K880wUrPOdZBL3pojy92GxAPODZfj1ScU29zTdHvCS6Ir0JDIO9S-okvSgTMj2wXyu9sac9vRAXCr2-_6q8mQLjOg_thDvMcy69sqPMu_9CqjxfOUw9v6l-vJo6VL1MU6W7uAD6uge3FLtOPPE8xbb7PP9_t72dcwY9PijDvEG-nbvhS5e8o2dpPNvbzT2huqk9pojCvPRsablgqyS-gDKAu2UXXL54p4w8KAS8u-Rm-D1mTOE9GCPUO670Kr5txd49itQLuz8ojj2sHxu9M7yfOzBjqj2hkZk8JmmjPKvq5T2bQt86NtchPAlkwDzPWXU9hWOxPCqEHz1pj_Y7cciGvKpdqD1LcA88bjVrvKvm3rzWR7Y9HlaTPAceBDv2eMY8PBjOu6Tt7zuRgFE9HCUvvN9mxj05tfO9hx8YPFi_rr0yVTC8MaEZvOfMUT24oIg9WX0evHcvBz4Ie269k-Q5PJtXdb3QhjI8geUyuQ4-Az3nOsi9LzNsPGBBhb1Nef48-dRWvFSu7LvkWXg9lhUWvH07rru1pc49PmrhurVIA7zNlYE81ceqOwVdsTz8FoK8pe4xu6GSKT1AoBQ842qJOwsk6D2rAS-97MnTOS7Og71hCC-9qKjKuaisJrwm30y9dLmquaqCoT0aGJm9R0qgOJm1OTyLfEm7POlVugq_T70mHtA9gCM5uU9-5jsoY2m6ml97ODN5eb2D9iq9w88yuZMl6bxXEBo8-sj3OuSCszwO1yo9UONouiMtJb6mNTy8aI2fucz77rxWPQk7u7uWuRR8rj0rwo094GRlOKmx87zuiZ89HW84uQ8WBL1ceBo8zK5duIurCDzoAQI9cTVON8K0ubxMip-9BmB2OIro9z0_kKw9gu5mOBg8UT0LHvA8C4MBt96q6z0HK3W62RjFtrETgzy2sbO9FanpOKYr2D1GmAI9gUZ_uGVTzr3C6Kg8_jLoN-E0szzcYXi9OPeqt41s3TyAsD2922psOCBKDTxDOEY9DPjMNx-fAD6k5JC9Feg6uaqex716nY69kk3VN3kzFL1qLJa9SOgwtyAN57wVKg49Hi6-NvZ0ej3gD9-9P5mbt8r0cD0i4Ss-8cuKOOcgQ70LdHI9BXWVuFrtxr0PFDM9aNv7N_nJB7wggRq9bnydtyAAOBNACUhtUAEqcxAAGmAp8QAWCiP61wQW4-Hd9wnZ7uTo7ublABG-AP8I7gAO_u7k8QIAJOYr0boAAAAhBuwoAwDwVsn75Rj4AwzZrQEpHH_NAfDD8w8GA9bp9-4GGR_3GigA7gbjKi30pBYaIzkgAC0ihUY7OBNACUhvUAIqrwYQDBqgBgAAyMEAABDBAACAQAAAQMAAAAxCAACAwAAAWEIAAODBAACgwgAAgEEAAFBBAABUwgAA8MEAADTCAABYQgAAdMIAAKDBAAAwwgAAEMEAAIjCAADAwAAAgL8AAEDAAAA4QgAAdEIAAEDCAAB8wgAAgsIAAHBCAABcQgAAAMEAALjBAABIwgAAIMEAAITCAADYwQAAFMIAAMhCAADIQQAACEIAAJhBAABIQgAAkEEAAIBBAAAQQgAAOMIAAJjBAAAAQAAApEIAACBBAACowQAAsEEAAKDBAADgQAAAcEEAAADBAAC-wgAAkEEAAEDCAABAwAAASEIAAATCAABQwQAAysIAAMBBAAA0wgAAqMEAAJLCAAAEwgAADMIAAGxCAACcQgAAMEEAAARCAAAAQgAAvsIAAIDAAADYQQAAMEIAAIA_AABswgAANEIAANjBAABQQQAANEIAAMBAAAAgQQAAkkIAAHxCAACOwgAAiEEAAIRCAACQwQAAksIAAKhBAACuwgAA6EEAAHRCAADoQQAA6MEAAOjBAAB4QgAAOEIAADjCAAA0wgAAAAAAABTCAAAwQgAAmMEAAKBBAAAgQQAAKEIAACDBAAAwwQAAgD8AAJBBAAAwwQAALMIAAOjBAAC4wQAA2MEAANjBAAA0wgAAAMAAAIBCAAAQQgAAYMEAAADBAADowQAAUMEAAJDBAAAAwQAAOMIAABBBAAAwwgAANEIAALhBAACowQAAhMIAAEjCAABcwgAA4MAAAHxCAADgQAAAUEIAAMjBAACSwgAAyEEAAIA_AADwwQAAwMEAALhBAACQQQAAYMEAAIDBAADwwQAAqMEAAOjBAAAEwgAAKEIAAEBBAACAQQAAJMIAAKDAAACYwQAAAMEAAExCAABMQgAAcEEAACjCAACAwQAAiEIAAOjBAACQwQAAyEEAAHDBAACgQAAAJMIAAEBCAAAEQgAAsEEAAKBAAACgwQAAgMEAAKBCAABMwgAApsIAAOBAAADYQQAA8EEAAIDCAAB8wgAAoMEAAPDBAACQQQAAoEEAACDBAACgwQAAosIAAHDBIAA4E0AJSHVQASqPAhAAGoACAADIvQAAoLwAAJI-AAAQvQAAbD4AACQ-AACAOwAAQb8AANq-AAAcPgAAML0AAHS-AACWPgAAlj4AAMi9AAAwPQAA7j4AAMg9AACYPQAAFz8AAH8_AABkvgAAHD4AAHS-AAAsvgAAyL0AAHw-AAAwvQAAuL0AAHw-AACiPgAAgr4AAFC9AAAwvQAATD4AAIY-AAC4vQAAiL0AADS-AADSvgAAVL4AAEC8AADePgAA6L0AAIa-AACAuwAALD4AACS-AACAuwAAXL4AAFy-AAAcvgAA2D0AAJo-AABcvgAAoLwAAFU_AABQPQAAcD0AALg9AAAsvgAAyD0AAFQ-AABwvSAAOBNACUh8UAEqjwIQARqAAgAAVL4AAMg9AACgPAAAGb8AAKC8AAA8PgAAfD4AAOg9AAAwPQAAoLwAAOi9AABAvAAA6L0AAAy-AAAsPgAA6D0AABw-AAABPwAAoLwAAOI-AADIPQAAND4AABy-AAAUvgAAuL0AAOg9AACAuwAA4DwAAIq-AADIPQAA4DwAABQ-AADgPAAATL4AAFA9AABwPQAAiD0AALg9AACOvgAAQLwAAKA8AABQvQAAJD4AAMg9AACoPQAAQLwAAH-_AAC4vQAAoLwAAIg9AAAcPgAAqD0AAKi9AADIPQAAjj4AAAw-AACAuwAAgr4AAOg9AAAEPgAAiD0AAMi9AACIPQAADD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=kpb4LZsn3HE","parent-reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2934355608334301506"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"862678528"}},"dups":{"5438953190656214221":{"videoId":"5438953190656214221","title":"Einstein's Field Equation || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Einstein's Field Equation || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FJLIWvFG9_s","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FJLIWvFG9_s?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":10,"text":"00:10","a11yText":"Süre 10 saniye","shortText":""},"views":{"text":"1,4bin","a11yText":"1,4 bin izleme"},"date":"15 kas 2022","modifyTime":1668470400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FJLIWvFG9_s?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FJLIWvFG9_s","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":10},"parentClipId":"5438953190656214221","href":"/preview/5438953190656214221?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/5438953190656214221?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"519582452855883184":{"videoId":"519582452855883184","title":"Generalized Potential || Classical Mechanics || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Generalized Potential || Classical Mechanics || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=U23FBqAxqU8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/U23FBqAxqU8?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":247,"text":"4:07","a11yText":"Süre 4 dakika 7 saniye","shortText":"4 dk."},"date":"29 eyl 2023","modifyTime":1695945600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/U23FBqAxqU8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=U23FBqAxqU8","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":247},"parentClipId":"519582452855883184","href":"/preview/519582452855883184?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/519582452855883184?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5045878498634866062":{"videoId":"5045878498634866062","title":"Pythagoras Theorem || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Pythagoras Theorem || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7A8adzVJSSY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7A8adzVJSSY?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":6,"text":"00:06","a11yText":"Süre 6 saniye","shortText":""},"date":"24 kas 2022","modifyTime":1669248000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7A8adzVJSSY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7A8adzVJSSY","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":6},"parentClipId":"5045878498634866062","href":"/preview/5045878498634866062?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/5045878498634866062?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7413738576237109161":{"videoId":"7413738576237109161","title":"Basic Rules of Tensor Notation || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Basic Rules of Tensor Notation || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vM00WXkx7AI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vM00WXkx7AI?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":395,"text":"6:35","a11yText":"Süre 6 dakika 35 saniye","shortText":"6 dk."},"views":{"text":"1,6bin","a11yText":"1,6 bin izleme"},"date":"24 tem 2021","modifyTime":1627084800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vM00WXkx7AI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vM00WXkx7AI","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":395},"parentClipId":"7413738576237109161","href":"/preview/7413738576237109161?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/7413738576237109161?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3755585351135829863":{"videoId":"3755585351135829863","title":"Pathlines || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Pathlines || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/N_33uzdPkug","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/N_33uzdPkug?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":21,"text":"00:21","a11yText":"Süre 21 saniye","shortText":""},"date":"25 nis 2024","modifyTime":1714003200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/N_33uzdPkug?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=N_33uzdPkug","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":21},"parentClipId":"3755585351135829863","href":"/preview/3755585351135829863?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/3755585351135829863?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14796773692030484373":{"videoId":"14796773692030484373","title":"Einstein's Famous Equation || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Einstein's Famous Equation || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7gzhzB7Zhk0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7gzhzB7Zhk0?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":15,"text":"00:15","a11yText":"Süre 15 saniye","shortText":""},"date":"16 kas 2022","modifyTime":1668556800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7gzhzB7Zhk0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7gzhzB7Zhk0","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":15},"parentClipId":"14796773692030484373","href":"/preview/14796773692030484373?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/14796773692030484373?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4317584959334165093":{"videoId":"4317584959334165093","title":"Generalized Momentum || Classical Mechanics || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Generalized Momentum || Classical Mechanics || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7dGHKoXxOlw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7dGHKoXxOlw?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":441,"text":"7:21","a11yText":"Süre 7 dakika 21 saniye","shortText":"7 dk."},"date":"24 eyl 2023","modifyTime":1695513600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7dGHKoXxOlw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7dGHKoXxOlw","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":441},"parentClipId":"4317584959334165093","href":"/preview/4317584959334165093?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/4317584959334165093?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13258657657904320526":{"videoId":"13258657657904320526","title":"\u0007[Math\u0007] \u0007[Explorations\u0007] - YouTube","cleanTitle":"Math Explorations - YouTube","host":{"title":"YouTube","href":"http://sites.google.com/view/math-explorations/home","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/f79dWbi1m1w?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":"d3d3LnlvdXR1YmUuY29tO1VDaEUtRUR4NHpTZE9ScVhRTnZTR0luQQ==","name":"Mihaela Git","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mihaela+Git","origUrl":"http://www.youtube.com/@mihaelagit3211","a11yText":"Mihaela Git. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":15,"text":"00:15","a11yText":"Süre 15 saniye","shortText":""},"date":"19 nis 2022","modifyTime":1650326400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/f79dWbi1m1w?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=f79dWbi1m1w","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":15},"parentClipId":"13258657657904320526","href":"/preview/13258657657904320526?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/13258657657904320526?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12210249706757079894":{"videoId":"12210249706757079894","title":"Polynomials for Beginners || Basic \u0007[Mathematics\u0007] || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Polynomials for Beginners || Basic Mathematics || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=RrjbxkvK3Aw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/RrjbxkvK3Aw?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":784,"text":"13:04","a11yText":"Süre 13 dakika 4 saniye","shortText":"13 dk."},"date":"20 eki 2023","modifyTime":1697760000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/RrjbxkvK3Aw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=RrjbxkvK3Aw","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":784},"parentClipId":"12210249706757079894","href":"/preview/12210249706757079894?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/12210249706757079894?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16866271064254746763":{"videoId":"16866271064254746763","title":"Riemann Sum || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Riemann Sum || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=4Zxdeo4y16k","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/4Zxdeo4y16k?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":82,"text":"1:22","a11yText":"Süre 1 dakika 22 saniye","shortText":"1 dk."},"date":"19 tem 2025","modifyTime":1752883200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/4Zxdeo4y16k?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=4Zxdeo4y16k","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":82},"parentClipId":"16866271064254746763","href":"/preview/16866271064254746763?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/16866271064254746763?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10330452074985939774":{"videoId":"10330452074985939774","title":"Riemannian Metric || Riemannian Geometry || Tensor || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Riemannian Metric || Riemannian Geometry || Tensor || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_FJ5bBmiOgk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_FJ5bBmiOgk?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":777,"text":"12:57","a11yText":"Süre 12 dakika 57 saniye","shortText":"12 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"30 ara 2021","modifyTime":1640822400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_FJ5bBmiOgk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_FJ5bBmiOgk","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":777},"parentClipId":"10330452074985939774","href":"/preview/10330452074985939774?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/10330452074985939774?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2726001812376844746":{"videoId":"2726001812376844746","title":"\u0007[Mathematical\u0007] Practice and 18th-Century British Voyages of Scientific \u0007[Exploration\u0007]","cleanTitle":"Mathematical Practice and 18th-Century British Voyages of Scientific Exploration","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2cHD7Tn3NNE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2cHD7Tn3NNE?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":"d3d3LnlvdXR1YmUuY29tO1VDMXQ2a0tYb0J2amRyOG05S0oyRng3QQ==","name":"Gresham College","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Gresham+College","origUrl":"http://www.youtube.com/@GreshamCollege","a11yText":"Gresham College. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2715,"text":"45:15","a11yText":"Süre 45 dakika 15 saniye","shortText":"45 dk."},"views":{"text":"2,2bin","a11yText":"2,2 bin izleme"},"date":"30 eki 2019","modifyTime":1572393600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2cHD7Tn3NNE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2cHD7Tn3NNE","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":2715},"parentClipId":"2726001812376844746","href":"/preview/2726001812376844746?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/2726001812376844746?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10266318591294389122":{"videoId":"10266318591294389122","title":"\u0007[Math\u0007] \u0007[Exploration\u0007] with Desmos Graphing Calculator","cleanTitle":"Math Exploration with Desmos Graphing Calculator","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dJxvN4349Q0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dJxvN4349Q0?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":"d3d3LnlvdXR1YmUuY29tO1VDSmlZc2VyTU1mNjR5RExjcUREQWhtUQ==","name":"Keep Indiana Learning","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Keep+Indiana+Learning","origUrl":"http://www.youtube.com/@KeepIndianaLearning","a11yText":"Keep Indiana Learning. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":913,"text":"15:13","a11yText":"Süre 15 dakika 13 saniye","shortText":"15 dk."},"date":"26 oca 2023","modifyTime":1674766513000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dJxvN4349Q0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dJxvN4349Q0","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":913},"parentClipId":"10266318591294389122","href":"/preview/10266318591294389122?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/10266318591294389122?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7127330393005794429":{"videoId":"7127330393005794429","title":"\u0007[math\u0007] \u0007[explorations\u0007]","cleanTitle":"math explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=vGJU-rq7Q30","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/vGJU-rq7Q30?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":"d3d3LnlvdXR1YmUuY29tO1VDOXQtVE9OZmtRTzdWSkNUMnBCZFFwUQ==","name":"Cassie Forsman","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Cassie+Forsman","origUrl":"http://www.youtube.com/@cforsman0124","a11yText":"Cassie Forsman. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":360,"text":"6:00","a11yText":"Süre 6 dakika","shortText":"6 dk."},"views":{"text":"1,2bin","a11yText":"1,2 bin izleme"},"date":"7 mar 2013","modifyTime":1362614400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/vGJU-rq7Q30?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=vGJU-rq7Q30","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":360},"parentClipId":"7127330393005794429","href":"/preview/7127330393005794429?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/7127330393005794429?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5965602638482009725":{"videoId":"5965602638482009725","title":"\u0007[math\u0007] \u0007[exploration\u0007]","cleanTitle":"math exploration","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LTVAoWKXOKU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LTVAoWKXOKU?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":"d3d3LnlvdXR1YmUuY29tO1VDaHZDNERuN0FrMk5TQndXX001OW1HQQ==","name":"Fa6amk","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Fa6amk","origUrl":"http://www.youtube.com/@fa6amk714","a11yText":"Fa6amk. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":71,"text":"1:11","a11yText":"Süre 1 dakika 11 saniye","shortText":"1 dk."},"date":"30 kas 2014","modifyTime":1417305600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/LTVAoWKXOKU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LTVAoWKXOKU","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":71},"parentClipId":"5965602638482009725","href":"/preview/5965602638482009725?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/5965602638482009725?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5202519878043009895":{"videoId":"5202519878043009895","title":"Number Sets in LaTeX || Overleaf || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Number Sets in LaTeX || Overleaf || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=BCLMdlyi0Tw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/BCLMdlyi0Tw?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":162,"text":"2:42","a11yText":"Süre 2 dakika 42 saniye","shortText":"2 dk."},"date":"15 ağu 2020","modifyTime":1597449600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/BCLMdlyi0Tw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=BCLMdlyi0Tw","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":162},"parentClipId":"5202519878043009895","href":"/preview/5202519878043009895?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/5202519878043009895?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8915854369460980449":{"videoId":"8915854369460980449","title":"Powers Indices & Fractions in LaTeX || Overleaf || \u0007[Mathematical\u0007] \u0007[Explorations\u0007]","cleanTitle":"Powers Indices & Fractions in LaTeX || Overleaf || Mathematical Explorations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=yfpKhQjyB1g","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/yfpKhQjyB1g?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":"d3d3LnlvdXR1YmUuY29tO1VDekxsdTdFa2I4Z1dWWmoxLXJVZW1VQQ==","name":"Mathematical Explorations","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Mathematical+Explorations","origUrl":"http://www.youtube.com/@mathematicalexplorations","a11yText":"Mathematical Explorations. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":255,"text":"4:15","a11yText":"Süre 4 dakika 15 saniye","shortText":"4 dk."},"date":"30 tem 2020","modifyTime":1596067200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/yfpKhQjyB1g?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=yfpKhQjyB1g","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":255},"parentClipId":"8915854369460980449","href":"/preview/8915854369460980449?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/8915854369460980449?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2934355608334301506":{"videoId":"2934355608334301506","title":"\u0007[Math\u0007] \u0007[Explorations\u0007] Ep29, Nearest Neighbor Algorithm (Apr 20, 2022)","cleanTitle":"Math Explorations Ep29, Nearest Neighbor Algorithm (Apr 20, 2022)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=kpb4LZsn3HE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/kpb4LZsn3HE?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":"d3d3LnlvdXR1YmUuY29tO1VDcEZONV9ZRFFwSE1GMlhHcFY5SktyQQ==","name":"Chris Staecker","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Chris+Staecker","origUrl":"http://www.youtube.com/@ChrisStaecker","a11yText":"Chris Staecker. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2885,"text":"48:05","a11yText":"Süre 48 dakika 5 saniye","shortText":"48 dk."},"date":"20 nis 2022","modifyTime":1650412800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/kpb4LZsn3HE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=kpb4LZsn3HE","reqid":"1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL","duration":2885},"parentClipId":"2934355608334301506","href":"/preview/2934355608334301506?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","rawHref":"/video/preview/2934355608334301506?parent-reqid=1773996436812004-2903004564660660385-balancer-l7leveler-kubr-yp-sas-13-BAL&text=Mathematical+Explorations","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":"2903004564660660385713","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":"Mathematical Explorations","queryUriEscaped":"Mathematical%20Explorations","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"}}}