<![CDATA[{"pages":{"search":{"query":"Math Physics Engineering","originalQuery":"Math Physics Engineering","serpid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","parentReqid":"","serpItems":[{"id":"11020001939912108477-0-0","type":"videoSnippet","props":{"videoId":"11020001939912108477"},"curPage":0},{"id":"8844616042987152473-0-1","type":"videoSnippet","props":{"videoId":"8844616042987152473"},"curPage":0},{"id":"4171968773068572612-0-2","type":"videoSnippet","props":{"videoId":"4171968773068572612"},"curPage":0},{"id":"13560346164371322503-0-3","type":"videoSnippet","props":{"videoId":"13560346164371322503"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dE1hdGggUGh5c2ljcyBFbmdpbmVlcmluZwo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","ui":"desktop","yuid":"4039814111774567724"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"1911876950337344949-0-5","type":"videoSnippet","props":{"videoId":"1911876950337344949"},"curPage":0},{"id":"12962089952450319022-0-6","type":"videoSnippet","props":{"videoId":"12962089952450319022"},"curPage":0},{"id":"10003617381162666753-0-7","type":"videoSnippet","props":{"videoId":"10003617381162666753"},"curPage":0},{"id":"10269263258575513212-0-8","type":"videoSnippet","props":{"videoId":"10269263258575513212"},"curPage":0},{"id":"13246916414335661450-0-9","type":"videoSnippet","props":{"videoId":"13246916414335661450"},"curPage":0},{"id":"6118653604325248983-0-10","type":"videoSnippet","props":{"videoId":"6118653604325248983"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dE1hdGggUGh5c2ljcyBFbmdpbmVlcmluZwo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","ui":"desktop","yuid":"4039814111774567724"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"64634735327992521-0-12","type":"videoSnippet","props":{"videoId":"64634735327992521"},"curPage":0},{"id":"2074798988504994794-0-13","type":"videoSnippet","props":{"videoId":"2074798988504994794"},"curPage":0},{"id":"12245551053039735799-0-14","type":"videoSnippet","props":{"videoId":"12245551053039735799"},"curPage":0},{"id":"4283986452444637722-0-15","type":"videoSnippet","props":{"videoId":"4283986452444637722"},"curPage":0},{"id":"14773058561918606872-0-16","type":"videoSnippet","props":{"videoId":"14773058561918606872"},"curPage":0},{"id":"4593558992774960233-0-17","type":"videoSnippet","props":{"videoId":"4593558992774960233"},"curPage":0},{"id":"9583343685546376155-0-18","type":"videoSnippet","props":{"videoId":"9583343685546376155"},"curPage":0},{"id":"2222160848500973224-0-19","type":"videoSnippet","props":{"videoId":"2222160848500973224"},"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":"dE1hdGggUGh5c2ljcyBFbmdpbmVlcmluZwo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","ui":"desktop","yuid":"4039814111774567724"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMath%2BPhysics%2BEngineering","pages":[{"reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"9099543432851071757140","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","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_kebab_advanced_actions":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,"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,"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":["1518678,0,80;1470058,0,77;1519485,0,43;1519677,0,35;1511955,0,64;15353,0,44;127804,0,26;123854,0,29;1522412,0,32;1519859,0,1;1479117,0,24;1512231,0,2;1521375,0,88;1517337,0,94;1521340,0,72;1509935,0,73;1508268,0,55;1146114,0,47;1518186,0,51;1503416,0,27;1517008,0,93;1515433,0,65;1510799,0,99;1520661,0,55;1512853,0,86;1515119,0,45;1462741,0,31;151171,0,36;1281084,0,48;287509,0,58;1447467,0,75;1482951,0,31;1476853,0,79"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DMath%2BPhysics%2BEngineering","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?text=Math+Physics+Engineering","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":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?text=Math+Physics+Engineering","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Math Physics Engineering: Yandex'te 2 bin video bulundu","description":"Результаты поиска по запросу \"Math Physics Engineering\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"Math Physics Engineering — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"yad3f626de6c6dce0d52d416e1b8a4f5c","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1518678,1470058,1519485,1519677,1511955,15353,127804,123854,1522412,1519859,1479117,1512231,1521375,1517337,1521340,1509935,1508268,1146114,1518186,1503416,1517008,1515433,1510799,1520661,1512853,1515119,1462741,151171,1281084,287509,1447467,1482951,1476853","queryText":"Math Physics Engineering","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4039814111774567724","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1511916,1520677,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1774567769","tz":"America/Louisville","to_iso":"2026-03-26T19:29:29-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-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":"1518678,1470058,1519485,1519677,1511955,15353,127804,123854,1522412,1519859,1479117,1512231,1521375,1517337,1521340,1509935,1508268,1146114,1518186,1503416,1517008,1515433,1510799,1520661,1512853,1515119,1462741,151171,1281084,287509,1447467,1482951,1476853","queryText":"Math Physics Engineering","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"4039814111774567724","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":"9099543432851071757140","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":163,"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":true,"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":"4039814111774567724","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1794.0__f907c4b248b3b72e6b8309b4ada4ec3f02de9267","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"11020001939912108477":{"videoId":"11020001939912108477","docid":"34-9-11-Z9FE93454D0D67A45","description":"In this video, we explore the concept of vectors and provide clear examples to illustrate their application in physics and everyday scenarios. Join us as we delve into the fundamental principles...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/774846/7c0381b1cd54f375f093c5291759b7fd/564x318_1"},"target":"_self","position":"0","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DXQSt3WjNvWc","linkTemplate":"/video/preview/11020001939912108477?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is a Vector in Physics, Math & Engineering?","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=XQSt3WjNvWc\",\"src\":\"serp\",\"rvb\":\"EqoDChQxMTAyMDAwMTkzOTkxMjEwODQ3NwoTODg0NDYxNjA0Mjk4NzE1MjQ3MwoTNDE3MTk2ODc3MzA2ODU3MjYxMgoUMTM1NjAzNDYxNjQzNzEzMjI1MDMKEzE5MTE4NzY5NTAzMzczNDQ5NDkKFDEyOTYyMDg5OTUyNDUwMzE5MDIyChQxMDAwMzYxNzM4MTE2MjY2Njc1MwoUMTAyNjkyNjMyNTg1NzU1MTMyMTIKFDEzMjQ2OTE2NDE0MzM1NjYxNDUwChM2MTE4NjUzNjA0MzI1MjQ4OTgzChE2NDYzNDczNTMyNzk5MjUyMQoTMjA3NDc5ODk4ODUwNDk5NDc5NAoUMTIyNDU1NTEwNTMwMzk3MzU3OTkKEzQyODM5ODY0NTI0NDQ2Mzc3MjIKFDE0NzczMDU4NTYxOTE4NjA2ODcyChM0NTkzNTU4OTkyNzc0OTYwMjMzChM5NTgzMzQzNjg1NTQ2Mzc2MTU1ChMyMjIyMTYwODQ4NTAwOTczMjI0ChM2MzQyNzgwNzUyMDYzNDA1MDA4ChM0Njg1NjY1OTQ0MTI0NTI3NDEwGhYKFDExMDIwMDAxOTM5OTEyMTA4NDc3WhQxMTAyMDAwMTkzOTkxMjEwODQ3N2quDRIBMBgAIkQaMAAKKWhobWtsbGdqeGlmZ2tkc2hoVUNZZ0w4MWxjN0RPTE5obmVsMV9KNlZnEgIAESoQwg8PGg8_E60VggQkAYAEKyqLARABGniB8BMAAAEAAPH7_v8JAv8BD_0GAvYBAADzDvb0AwEAAPLxBwoAAAAAHQD__wQAAADsCvPz_gEAAAb29Q4CAAAAB_kH-fQAAAAYBvX5_gEAAPX6BvkCAAAADgkBBQAAAAAEDvn9__8AAAAQDfUAAAAAGQj_BwAAAAAgAC12UM47OBNACUhOUAIqcxAAGmAbEgAeEg353AkQ8vz7-RIRGSYH9wneAPXTABwT9eMAHtnD_xD_I8MS78QAAAD74-MH4ADXT-bn0BUMFv79yuEIE38F-vkbCx783ewHBhnz-RjmEzsA2RzfBw3JySUUGDwgAC211Vk7OBNACUhvUAIqrwYQDBqgBgAAEMEAAFDBAAAUQgAAAEEAAHDBAADgQAAAFEIAAFhCAACYwgAAMMEAAOBBAAB0QgAAAMEAALjBAAAgwQAAiMEAACBBAAAgwgAAUMIAAJjBAADYQQAAfMIAAKjBAAA0wgAAwMEAAHxCAAAUwgAAAAAAADhCAADwQQAAgEEAAFBCAABowgAA4MAAAJDBAACgQAAAQMEAALJCAACgQQAAEMIAADBBAABAQAAAaEIAAADAAADgQAAATMIAAIBAAAAIwgAAIMEAAOjBAABAwQAAqMEAAEjCAACAwQAA-EEAAEBAAADIwQAAQEEAANhBAAAwQgAAEEEAAHDBAACSwgAAEMIAAFzCAAAwQQAA2EEAAPDBAAAIwgAAMEIAAIC_AAAEQgAAGMIAACRCAADgwQAAVMIAAFDCAACAQQAAIEEAALTCAAAkwgAA-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-AACAOwAAN78AAOK-AAAwvQAAiL0AAKa-AACiPgAAED0AADC9AAAQvQAAjj4AAFA9AACKPgAA2j4AAH8_AAB0vgAA8j4AAFC9AACWvgAAbL4AAEQ-AABQvQAAUL0AAEw-AAALPwAAyD0AAHS-AAAQvQAAcD0AAII-AAD4PQAAUL0AADy-AABAvAAAvr4AAIK-AAAMPgAAFL4AADy-AAAUPgAAcD0AAFS-AACovQAATL4AAOi9AAANvwAA-D0AADC9AADiPgAAMD0AAG0_AAAsPgAA4DwAAI4-AABUvgAAoLwAAKA8AADmPiAAOBNACUh8UAEqjwIQARqAAgAAjr4AAAQ-AAAMvgAAC78AAOA8AABQvQAAtj4AADC9AABQPQAAuL0AABS-AACyvgAAML0AACy-AAAMvgAAgDsAAEA8AAADPwAAuL0AAGQ-AAABPwAAmD0AAEA8AADIvQAAML0AALi9AAAsvgAAyD0AAKC8AACoPQAAXD4AAAQ-AABUvgAA-D0AAKA8AAB8vgAA_j4AAFA9AACuvgAAgDsAAPI-AACgvAAAkj4AAKA8AABwPQAAsj4AAH-_AAAwPQAABL4AAIC7AABEPgAARD4AAGQ-AAAQPQAAbD4AACQ-AABwvQAAQLwAABw-AADgPAAADL4AANi9AACWvgAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=XQSt3WjNvWc","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11020001939912108477"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"8844616042987152473":{"videoId":"8844616042987152473","docid":"34-0-17-Z0285ED954C38EF3F","description":"In this video I go over a book that is excellent for learning mathematics. It covers differential equations, partial differential equations, complex variables, etc. If you know some calculus...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/777973/14ff1de690612e1123cfca308b7ed775/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/qFF6NQIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DrwpsK6EGFz8","linkTemplate":"/video/preview/8844616042987152473?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Learn Mathematics for Engineering and Physics","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=rwpsK6EGFz8\",\"src\":\"serp\",\"rvb\":\"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_AUA9QEDBQcE_QEMBf8C9wAAAPYA9fUCAv8A-O3_BgcAAAAJ__kD-gAAAPb-_v78_wAADQL4DwIAAAAIAgAA9AEAABkQ_wD-AQAA_PgC_wL_AAARCQgB_wAAAPoN_Pv_AAAA_wYF_QAAAAAXB_8GAAAAACAALcFa4Ds4E0AJSE5QAiqEAhAAGvABfyb5A58g8_sd7-EBvBYBANf87wBA_g7_0vj_AA8dHgBVJ9oD_AD6_xb5Gv_LA93_-xHV___p6QEX3N0AH_IHABEHBgH2HwkA98zh_wjtFf_uFfoA9NsF_iMSDAENFQ7_C_oD-_gvBAFHBQn_IffwANvq_ADo6dYCQ9IFAfkU8QTj2P365AsJA9wI8gLm7gn_CyT0__UG2wDl7QoFDvwZBBYVCf_77hb-2e7nAQX8-_4CCfsA7wz1-fUH-fkMGvX68Pf-Burr_wL75RUA9RAS_toO_QAN3BX5AS3_AAT6E_rgB_H9CP8B_y3a9Aj_CAsPIAAtssQqOzgTQAlIYVACKs8HEAAawAf67wG_gRtvO_7SYr3B4iA-byBuPARL_Tt8oZs8It0UPYDEZTx6pyG8BmZFvc6Gobxs7FK-d2RRPQMqF73LgDM-5tGIvZhiMzzUKU--rR5mvEfdc7ysjqy9-zZJvXtVPb0cfBG-h5RVvY28Jz0bRqa9MX63Ozlcjru6S4I9_BPBvPI6B71cAB47ecg5vEYiNLzk-409Z9zvvONd5DpWbKc9_wjDPNVSyrwzeE68NNb-vL4exLvIv8W8DkA0OhKOsLvs9Ci8kVRwvPKM5LsVpIC7z5eYvYDRijwGYn69HaVcvATmvjrtgQa-ttxUPR0ehLsatZw9MfC3vDDhJzsxzSS-4Y9svSFhczxBXvQ8ABEsPWwt5TvhDck99eCZPdr8zDmY6sg9rUGpvPeTsTwM5RQ-x0WaPA9aNLwrKWG9xnsfPdAdjjzzKXY9flymPWZnkbyKPJm9HMF8POBjsDzPa6e9iY7uvIkW7rtTpiI9TJymvGuMzLwK6uW81wRHPcUhFzyM_JW8E1wxvUBENDsSW5u9xGIPPRkpCDz2-V49sjpovQA9C7yfsLQ96Y9LubhGfLuWi4I8j3mTPLTiQLzOFN88VwFDPV40nrscRty8NjSKPB5Jkzq3RO69wJ7EuwV6l7uP2DM9nYwAPdDQvzuXGdu8eh73PPfnA7ynPeW864wPviXevbfbEj697x6QvcUMJjtTGCW8swysvXEEijhETj-9fgUkPefqP7v2hKu9eqB6PdnZqTrp5xc8EXMEvQrahTsrWzq9_QcCvXeZVrnTREQ80zQDvZtAWbnZ7fO8F1wYvTLcszdZmJ89KGaYOwPlSLktpTg9zBnAvAfpjDknMnO8q9kcvHyDCrvnGLW8104EPv5j2jmsAN89OzjYvdkRcbkhHf69L1IDvYZenTiJc1m9HuDJPGYEF7i_B5S8IqqLvLJFBrnPRD29G0xevTJeOzkCMk-9I4LRPXW3vDg1B8g94nI8vEVenzj0Qos8k5zdO2cKPTcHaic9H0IGPZ5xJrjlMgQ9whqCvCDQlTjJy3o9-rYQvt1TpLinbY08aNxFPeD2xrioEcC7UiB9vMcyPbfwlQ89SpaoPX840TixNLA8XjtHPbl4QDhsE908kFIkPYt16Tjf7CQ78BZIvD4cHLgIwLm9tAaqPYsdubhmErU8XqHPvYC6sjdIgb89M367PcWeAzhTZU48e1yVvV51vLerD8o9pf6VPcGUmjcnuWi9068Dvb_hqrhy4oY8S9QBvZl0rzapS-Y9spH1vJNqNLggADgTQAlIbVABKnMQABpgK_QAQQIL9t7mR_TVzd4h5Qg36Dnp_QACAgAA7QDnBT7m7hQHAAjV6v20AAAAB9LfCBsA3GXZxcEi_ND-9ccR7Al_8fzyB-4TGart8f_1Gicj8SovAODuwicC2b0tUBY5IAAth_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-MEAADDBAACEQgAAUMEAAJBBAABgQQAAMMIAAFDCAAAQQQAAAMAAAJhBAABUwgAAPMIAADDBAABYwiAAOBNACUh1UAEqjwIQABqAAgAAbL4AAIq-AACIPQAAQDwAANg9AACiPgAAtr4AAFm_AAABvwAAyL0AANg9AACyvgAAMD0AAPo-AAAcvgAAor4AAAU_AACIvQAAzj4AAA8_AAB_PwAA3r4AAI4-AACAuwAAlr4AAJK-AAC2PgAA6L0AAKg9AAD4PQAA0j4AAIq-AAAMvgAAcD0AAPo-AACoPQAAiL0AADS-AACOvgAA2L0AAIa-AACovQAAZD4AADS-AAAEvgAAEL0AAKY-AACqvgAATL4AAOq-AADevgAAA78AAFw-AACgPAAAyD0AAKA8AABjPwAA4DwAAEA8AABwPQAAZL4AAIo-AABAvAAALD4gADgTQAlIfFABKo8CEAEagAIAAAS-AAAQvQAADL4AAA-_AABAvAAAEL0AAKI-AACovQAAcD0AAIi9AADYvQAAJL4AAMi9AAD4vQAAUD0AAEC8AADoPQAA5j4AAIq-AADOPgAARD4AADA9AABcvgAAUL0AAOC8AAC4vQAAmL0AAKC8AADYPQAAPD4AAPg9AAAEPgAAFL4AALi9AACIPQAA-D0AAHw-AAAUPgAAdL4AAJg9AACWPgAAqL0AADw-AADoPQAAcL0AAGQ-AAB_vwAAUD0AADS-AAC4vQAAqD0AAFA9AAAkPgAAUL0AAHA9AAAkPgAAoLwAAPi9AACIPQAAqD0AAOi9AACIvQAAmL0AAAQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=rwpsK6EGFz8","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["8844616042987152473"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"3572993127"},"4171968773068572612":{"videoId":"4171968773068572612","docid":"34-2-0-Z3E45DDC0E8A8F130","description":"Charles Donahue discusses the Math, Physics, and Engineering Great Courses that are available at the Westwood Public Library.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/985477/1a9a1c971e342ba26077e4a75e906994/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/2Tp4UQAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DulUhgZwOWPU","linkTemplate":"/video/preview/4171968773068572612?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math, Physics, & Engineering - The Great Courses","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ulUhgZwOWPU\",\"src\":\"serp\",\"rvb\":\"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-Aj_AgD7_gL_AwT-AQkJ__j2AAAA9QD19AMC_wDz8QcKAAAAABP--wUAAAAA8gP3-vwAAAAK_PcFAwAAAA_6_PX2AAAAFQb_AP4BAAD58gD4AgAAABIKCAH_AAAACQ3-BAEBAAD7CAb1AQAAABgH_wcAAAAAIAAttZPWOzgTQAlITlACKoQCEAAa8AF_AwsCu_kO_RjgFwA_COAA5OgA_zLl5wDCDO4Aog_8_yEMAgDB2g0AAOQLAArsFADmBgH_1w_xAB_vD_9c7_4BCij8ABf8-gAEAen_6RUE__P99v7cEREB2Pf8Af7sDf8Z6BgA-xP5AiP-CgAX7RICJgAgAQ3cDAUUHQ4B-PsP_u_U_AQ1HOQAAgIF-w4lCAjd6PYA8i4U-xMQBv3wBvoDFA8ZA-0k_vk5Cur--wrrB-8P_wYMAAkBAyoR_9r-8gP81QsG9-sH_vsEBwAKFBX-ABcM_PMP_wDiAukCDAcM_PnsAQAPGfMJ-RkECSIJBfUgAC2aWzw7OBNACUhhUAIqzwcQABrABxcrCr8jP461PNWIO5xq7T1-b3S7SQkGvZrMnbzrXbK8XMMUPF1ilr27LwI9vFG1vNBHGb5vi-i8l6NPu3KnrD4tJWu94Uh7vLqeCL7WYNA6yYQpPE94kb5nFUw9qeaLuljBxD2Rlg89RxqBPF6Norw1OUa9uAGEvB0ELT6FwMA8PmgsvM4P6TsLWLy8gkSJPPuKmjzaKne85a3EPK7ufTzgQBA8dRQQvOZtFr1yD9M8CYeDu6Alnj1I-F48ybSROuerVD7wXZQ8bMkNPMwmID4nBEG9jKnLujfd0r1rpIC8k2XSO9Ebk71PNFm8bmSDPMyg9TyNbnO8fgUkPYATZb3IjFY6f_2rPN20GT49FtE8A2D6u8wiWrvsLwA9nBa8O3NpLL4v_3y8FXYsPF6-ULzdyqe9SSe3vEF-dj3yHzk7nQgsvLreoT02szG9u24du3LLIr2GYwy9SCKqvNtXubw9WsE88kOlPCIPbr09WRu9HYPjOsj_LjyAmMm9gQN_u3y-kb1Ofza97USJPCZRLzxUu3C9r4zXvHWSrTs89jM8LPMWvHLzoj2mmhk9XUiRPCq-qzwNAgY9DxfvO6Nr8DzOfB29xUaPvJbvhL0_Hc-9Ukw5vG3enT2OwAU5BA1Luzp5bDx883Y8LtYmvJZ9sj0hAm69U3lYu-bSkzw3hgW9Dx9gO8vokT2zOL292qVTu2sVWLxySiW9fiAzuyhxBz0GVM06nzFdu7HoLL1mHcS8jluKu316xzz684g8trcdu4s4XT0_6Pa7NZaHN82h1jx4UpU8PMqXOInAtz3utfs84pUSuCnMe7who6w7p4JTOcb7sTxk7cq85wKcuXSWmbx1Fsc8xifwuJ4NVDxC9xu9wGoNOomAXr24U588tpZMueucFb1AbOk7Pg_tt3lhRj3MA_08KQbgOGLAkjyXIvU7FMdfOWGog7w3eWA9U8H1t5ZSoT2a9iM9Zc1oN7yGKr2pE5C9AMqoOJJa6DyL8as9uhvWNzUrNryuMHi9Lp0CuEtshDuXBCM9gKTyuDm0mD2mj4q9zB3aN7qNvLxLjwu9ipacOHOj47yCdgK9dbE-N_fvMLzbRxg9Ud8NOSeCXbuAIMo8Xz4tuC1ikz0UUPK7BWYlt2n4-7z459y7vgLPNkOrc72rkhg-o3KSuR0TMz2I8Xo9z1cmNVe_yLz5FcY8rmmrt6bUhT2kkcu7FuyAuBMQLj3NbQc9A2xdOJTKar1rBXK8fjGPuJf3wjy6eOy77ydouDFo1zyZTIC9WeUKtiAAOBNACUhtUAEqcxAAGmA3AgABESQC1hQmxuHaAggWI0ERIewG__8TADAKFuMkRsjCOO4AM84067AAAAD76s0ACgCnb-Wu3i_15_zqzP0EDX_TDQYEswsD3OfCBgACNxL6PiwAxAivECPs4ikfHxsgAC2yiCY7OBNACUhvUAIqrwYQDBqgBgAA4MAAAIA_AAA8QgAAQMAAAJBBAADAwAAAEEIAAABAAACWwgAA6MEAAGBBAABAwAAAwsIAADjCAACAQQAAmEEAAEzCAABgQQAAUMIAAPjBAABkwgAA-EEAAPjBAADSQgAAgEEAAKBBAABowgAAjsIAAIxCAADCQgAA2EEAAGBCAACgwAAAUEIAACTCAAAwQgAA0MEAAEDBAABwwQAA6EEAAAAAAADAQAAAwEAAAIxCAAAkQgAAgD8AAABBAAC0wgAAmkIAAABCAAAAAAAAWEIAAKDBAABwwQAAKMIAAMjBAADwwQAAIEEAAHDCAACAPwAAIEEAAMBAAAB0wgAAgL8AAAAAAACIwgAAQEAAAATCAADAQQAAwMAAACDCAAAQwQAACMIAAN5CAAC4wQAAhsIAAAxCAADAQQAAAEIAACDCAABMwgAAEMEAAGTCAAAgwgAA8EEAADxCAABcwgAAoEAAAPBCAAAAQAAAMMEAAJxCAAAYQgAAgMEAALBBAACywgAAcMEAANjBAADgQQAAMMEAAMDBAAD-QgAAmEIAAIDCAAB8wgAAaMIAAJjBAAAkwgAA4MAAAFBCAABwQgAAgEAAABTCAAAwwgAAsEEAAFBCAAAQwgAAQEAAABBBAAAQwQAAYMEAAIDAAAAAQQAAmMEAAPBBAABQQQAAMMIAAKjBAACAPwAA2MEAAKBBAACgwQAA0MEAALBCAAAgQgAAsMEAALDBAAAEwgAAkMEAAGTCAAD4QQAAcEEAAKBAAACgwQAAAAAAAIC_AACAwQAAlEIAAIDAAAAwQQAAEEIAAMBBAABwQQAAAEAAANDBAACGQgAAoEEAAILCAACgQAAAuEEAAEDCAAAAAAAAcMIAAMDAAAAgwQAAcMEAAKBAAADoQQAAGEIAAMDBAAAIwgAAGEIAAIBAAAAEwgAAjEIAAABAAABgQQAAQEEAAExCAADoQQAA0EEAAEDCAAAswgAA4EAAAABAAADwQQAAJMIAAMhBAABIQgAA2MEAADjCAACIQQAASMIAAIhBAAAAwQAA8EEAAFBBAAB0wgAAMMIAAADBIAA4E0AJSHVQASqPAhAAGoACAAAwvQAAuL0AAEQ-AABwPQAA4DwAAGQ-AABcvgAAA78AAJq-AAAEPgAADD4AAAS-AAAcPgAAdD4AANi9AACovQAAwj4AAKC8AAA0PgAAgj4AAH8_AAA0vgAAiD0AABQ-AABsvgAAbL4AAMg9AACKvgAATD4AAFQ-AAAsPgAAML0AABy-AACYPQAARD4AAEC8AADgvAAAmL0AABS-AAAkvgAAqr4AANi9AABMPgAA-L0AAPi9AACAOwAADD4AAOC8AACAOwAABL4AABA9AADCvgAAZD4AAFC9AADgPAAAQLwAAEE_AAAMvgAAQLwAAHA9AACYvQAAuD0AAMg9AAAEPiAAOBNACUh8UAEqjwIQARqAAgAARL4AADC9AADgvAAAHb8AAKA8AABAPAAAJD4AADC9AAC4vQAADD4AAMi9AAAcvgAAmL0AAKi9AABwPQAAcL0AAKg9AAAXPwAA6L0AALI-AACIPQAAmD0AABS-AACgvAAAML0AAKi9AACgPAAAQLwAANg9AABUPgAAmD0AAHA9AADgPAAA4LwAANg9AADgPAAADD4AADQ-AABMvgAABD4AAFQ-AABwvQAA6D0AAFA9AAAsvgAADD4AAH-_AADoPQAAyL0AAHC9AACoPQAAiL0AAJo-AAAwvQAAyD0AAIg9AAAwPQAAoLwAADA9AADgvAAAcL0AADA9AAC4vQAA-D0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ulUhgZwOWPU","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4171968773068572612"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"1593217864"},"13560346164371322503":{"videoId":"13560346164371322503","docid":"34-6-11-ZA082084828AED203","description":"Unit vectors are fundamental components in vector mathematics and physics, representing direction without regard to magnitude. This video provides a clear and comprehensive explanation of unit...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/401166/0fb3dcd4b9ae7b73b0b71f9c0cb64ff9/564x318_1"},"target":"_self","position":"3","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJkj3j_er8Js","linkTemplate":"/video/preview/13560346164371322503?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Unit Vectors - Definition & Uses in Physics, Math, Engineering","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Jkj3j_er8Js\",\"src\":\"serp\",\"rvb\":\"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_E74VggQkAYAEKyqLARABGniBBRT9CQT8APLt_QMOBP4BBAAAAvj__gDzD_b0AwH_AOj4BQX8_wAAHgD__wQAAADz9fPw_f4AAAr89wUDAAAAEPr89PUAAAAdEv8A_gEAAOvxBPQCAAAAGAX-BgAAAAD6DPcD_QAAAAYNB_wAAAAAEQgNDP8AAAAgAC1L5Mc7OBNACUhOUAIqcxAAGmAPCgApAQzx6Akj6wUG_R7_BCrtC_j5APLSAAr-0uj1Ic3HAgX_Isce-cEAAAAPBuUT3gDbUtDo0CAdDQjmvOcNFX8DBeMjBhbv3_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-wgAA-MEAAMjBAACmQgAAIEIAAHjCAABYQgAAMEEAAKDBAACSwgAAuEEAAOBAAAA0QgAAsMEAAIRCAABgQgAAAEIAAMjBAAAAQQAAIEIAAMhBAADAQAAAiMEAAITCAACkwgAAIEEAABDCAADYQQAAYMIAADBBAADgwAAABEIAAEjCAABwwQAAQMEAAJjBAAAQwgAAwMEAAGBBAABUQgAAYEEAAEDAAAAEwgAA6MEAAJrCAAAAwAAAmEEAAEBBAACIwQAAQEEAAAAAAACgwQAAwMAAAIjBAADYwQAAwMAAAFBBAAAQQgAAqMEAAOhBAABwwQAAssIAAEzCAACQwgAAPEIAAHjCAABoQgAAHEIAABDCAABAQAAAAEIAAOBAAABQQgAAkEIAAGzCAADowQAAoMAAAChCAAAgQQAA-MEAANjBAAAYQgAA2EEAAAAAAAAgQgAAsMIAAMjBAAAkwgAAPEIAAOhBAAAAwQAAEMIAABBBAACAwQAAAAAAAEDBAACwQQAAAMEAAKDAAACAwAAAAAAAAERCAACoQQAAHMIAAEBBIAA4E0AJSHVQASqPAhAAGoACAAC6vgAAdL4AAJg9AACYvQAAqD0AAKI-AAC4PQAAUb8AACm_AABQvQAADD4AADy-AACKPgAALD4AAHy-AAAUvgAAVD4AAFA9AACePgAACT8AAH0_AAAQvQAArj4AALi9AACuvgAAiL0AALI-AACKvgAAFD4AAMI-AAD6PgAADL4AAJq-AAB8PgAAuD0AAHQ-AAAsPgAAXL4AAES-AABsvgAA0r4AAJ6-AACIPQAAJL4AAOC8AAA8PgAAZD4AANK-AAC4vQAA1r4AAHA9AAARvwAAqD0AAFC9AABcPgAAcL0AAH8_AACAOwAAiL0AALI-AAAkvgAA4DwAAEA8AACgvCAAOBNACUh8UAEqjwIQARqAAgAAqL0AAFQ-AADIvQAA-r4AAEC8AAAUPgAAuj4AAOA8AAAQvQAAuD0AACy-AABcvgAAqL0AAAy-AADIvQAAoLwAAIA7AAAJPwAAiL0AAMI-AACWPgAA6L0AAIi9AAC4vQAAEL0AAEy-AAAUvgAAgDsAADC9AADoPQAAyD0AAHA9AAA0vgAAFD4AAEA8AABUvgAAnj4AAKA8AACKvgAAiD0AAHw-AAAwPQAAnj4AAKA8AACYPQAApj4AAH-_AAAQPQAAcL0AAKA8AAAUPgAAPD4AAIo-AAAQPQAAiD0AAOg9AABQvQAAJL4AALg9AAAEPgAAyL0AAOA8AABMvgAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=Jkj3j_er8Js","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13560346164371322503"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"1911876950337344949":{"videoId":"1911876950337344949","docid":"34-1-3-Z25B4C12B33C9B68D","description":"If you want something in life, get it after it, every single day. Stay strong my friends. 💬 Check out my math courses. ➡️ https://freemathvids.com/ — That’s also where you’ll find my math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4246625/af08f6ac24b52849c8c6d8dff04327b2/564x318_1"},"target":"_self","position":"5","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-9HIKooEWTA","linkTemplate":"/video/preview/1911876950337344949?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Math. physics. engineering. fitness. every single day.","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-9HIKooEWTA\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TQoIEJAGABCsqiwEQARp4gfkP9P4C_gAH8ggDBAj9AgoJ__f2AAAA4wLv9wP8AgDp7AsABP8AAAwL9wr8AAAA8fj2_PkAAAAP_f4DBAAAAAf5B_j0AAAAAhbz9_8BAAD-7gUBA_8AABf-BgMAAAAAAA4B-f3_AAD-Dv_vAQAAABkI_wcAAAAAIAAtjvrLOzgTQAlITlACKnMQABpgJA0AMhMk9cz6Kt3gJN4QDQcZ-hEAEv8VAwAsDfrTGUS_xyPr_xvMCP-yAAAADx_NDfsA0Gbz3uIcAt_Zzcb4DQx_8PoF6BYIBMfhBeM_8TsJ_SdJALUK5BIl3d1SD_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_AACEwgAAgD8AABDBAADoQQAAcEEAAKBBAABAQAAABMIAAFDBAABgQSAAOBNACUh1UAEqjwIQABqAAgAAfL4AAKa-AADIvQAA2L0AAL4-AACOPgAA5r4AADW_AAAjvwAAoLwAABQ-AADyvgAA4LwAAP4-AAC2vgAADD4AAE0_AAB0vgAAzj4AABU_AAB_PwAAkr4AAFA9AADYvQAADL4AAJq-AAC6PgAAVL4AAJI-AABkPgAA6j4AAOg9AAA8vgAAZL4AAHQ-AACSvgAA2L0AAMg9AABEvgAA6D0AAO6-AACAuwAAyj4AABy-AADCvgAA-j4AAJ4-AABcvgAABD4AADy-AABsvgAAd78AAJY-AACAOwAA6D0AAIA7AAB7PwAARL4AADA9AAC4PQAAwr4AAAs_AABQvQAAZD4gADgTQAlIfFABKo8CEAEagAIAAKi9AAAEvgAAUL0AAB2_AACIvQAAoLwAAO4-AAD4vQAAoDwAAEy-AABEvgAAbL4AABS-AAAcvgAAMD0AAEA8AACYPQAA4j4AAGS-AADOPgAAdD4AALi9AACCvgAAqL0AAOC8AAAEvgAApr4AADC9AACoPQAAHD4AABQ-AAAsPgAADL4AAFC9AACOPgAATD4AAA8_AAAQPQAAdL4AAAw-AAD2PgAAmL0AAJg9AAAkPgAADL4AAI4-AAB_vwAAoLwAAGy-AAAcvgAABD4AAOA8AAA0PgAAgDsAABC9AABsPgAAiL0AAGy-AACYPQAA2D0AAJi9AADgvAAAdL4AAFw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=-9HIKooEWTA","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["1911876950337344949"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12962089952450319022":{"videoId":"12962089952450319022","docid":"34-11-16-ZA07D024484F8B623","description":"In this video I explain what a moment is and how you use it in engineering. I also give an example problem showing how to solve for a moment about a given point. Check out some awesome Student...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1632829/8ebc0a1b570dfe0a677d48c364125bce/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/WWScIQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dho29u38Oc_4","linkTemplate":"/video/preview/12962089952450319022?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What is a Moment in engineering, physics and math with an example problem","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ho29u38Oc_4\",\"src\":\"serp\",\"rvb\":\"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_gkC_QD8ABEFBwf8AhQCBfn1AQEA4wLv9wP8AgD09gP_9wAAABD__BAHAAAA8gPq-vn_AAAFAuwHAgAAAAf5B_n0AAAAFgb_AP4BAAD2-hYBAwAAAA0BCwUAAAAAAA4B-f3_AAD9DQD5AAAAAB_-CAoAAQAAIAAt4HXMOzgTQAlITlACKoQCEAAa8AFqAwcBmPL--j7xBwAJDwEAgQUL_ykABAC97v8A2QP8AQgh-wD16PQAAv7lAOkMCgD83xP_DOMEAPED_P80-vQAA_XuADbn8wES-A8B_wTu_9cOKQDqC_oDDAb1ACf66_4K-wL8-AjpARQB9QIJBQj-EvIrAOECBQEL8QIA6BgAAhPy5v4d6PYD4Qf0Aefv-f8B5fcC7RbfAt7uEQL9AgEDFAX0AAoO3QAXDe8EF_z4-g0G9_v9Be31AwcJAgMP_Pz2-P_35xYNBh4j-QQzCAwFAO8D_Ov5Dv8DCvYCANn6AfYDDfvi7fj43wj-DuT6AAIgAC1uJ0g7OBNACUhhUAIqcxAAGmBa8wA47jML1fAZ07nt9RngAhflFQfw_xD9ADEcCcMpM8K2ChH_TsAK5qEAAAAU1M33BwDde9zE50cHvf-10PX69H8lCRr0BTzWlM0DEv3PBSDRPUgA7AisT0QMp1oT9gIgAC2gXxA7OBNACUhvUAIqrwYQDBqgBgAAwEEAAMDAAACAwAAAoEAAAOBBAACAQQAA0EIAAKjBAADwQQAAqMEAAFTCAAAQQgAAmsIAAMDAAABYQgAANEIAANjBAABAwgAAKMIAAKjBAACGQgAAQMAAAFxCAADQQQAAQEAAAERCAADQwQAA4EEAAAhCAACIQQAAyMEAADBBAAAAwAAAIEIAABDCAAAgwQAAIEEAAABCAAD4wQAAkMEAAIhCAACSQgAAsMEAACxCAABkQgAAFMIAAOBBAABQwQAAoEEAAIhBAAAEwgAAdMIAAIC_AACYQQAAgL8AAIC_AABAQQAAlsIAAAxCAACKQgAAeEIAAIjBAADQwQAALMIAAEjCAAAwwgAA4EEAABzCAACgwQAAgMEAAK5CAADgQAAAnMIAAMRCAAAgQQAApMIAAFDCAAA8wgAAsEEAAODAAACAwQAAnkIAABzCAABQQQAAqEEAABzCAACgQgAAaEIAAODAAACwwQAAAEAAAMhCAACgQQAAPMIAAIjCAAA4wgAAgMEAALjBAACYQQAAjkIAADRCAAAgQgAASEIAAJDBAACCwgAAAEAAAEDBAABAQAAAwEAAAIRCAABAwAAAZMIAAARCAACgQQAA4MAAAIA_AABQwQAAkMEAAODBAACowQAAgMAAACzCAACYQQAAAAAAAIhBAADQwQAAmEEAALrCAADowQAABMIAAAzCAAD4QQAAEMIAAKRCAABgwQAAoEEAAKDAAAAYwgAAyMEAABjCAAAgQgAAwMEAACzCAADIwQAAuEEAAATCAAC4wQAAkMIAAMDAAABwQgAAuEEAAGRCAAAsQgAANMIAAABCAAAIQgAAoMIAAKzCAABwwQAAMEIAAEDBAAAoQgAAwMAAAIDAAABAwQAAgEIAAJhCAAAUQgAAOEIAAADAAACAwAAAgD8AAKhBAAAUwgAAiMIAALjBAADAQAAAjMIAAIDBAACAQAAA2MEAADDCAACwwQAAUMEAAJhCAACAvwAABMIAAFBBAAAkwgAAYEEAANjBAAAAwgAAYEEAAIC_AACOQgAAKEIAAOjBAABAQQAAQEAAAIDAIAA4E0AJSHVQASqPAhAAGoACAACIvQAAcL0AAOg9AADYPQAANL4AABQ-AACAuwAATb8AAGy-AADIvQAAmL0AAAm_AADYPQAA6j4AACS-AAAkvgAAxj4AADA9AACOPgAA0j4AAH8_AABkvgAAjj4AAIA7AAD6vgAAEL0AAEw-AAAcvgAAHL4AAIi9AACmPgAAuL0AAHS-AADIvQAAqD0AAEA8AAAkPgAAVL4AAKi9AAC4vQAAXL4AACS-AABQPQAAgLsAADC9AACgPAAA6D0AAHS-AACovQAAVL4AABA9AAB0vgAAML0AABC9AABMPgAAgDsAAHc_AACgvAAAoLwAAOg9AACqvgAAiL0AAOA8AACKPiAAOBNACUh8UAEqjwIQARqAAgAADL4AANi9AACYvQAAIb8AAMg9AADgPAAAkj4AAKC8AAAwvQAAiD0AAOC8AAAMvgAAQDwAACy-AADYPQAAUL0AAFw-AAALPwAAiL0AAL4-AADgPAAAcD0AAKg9AACgvAAAUD0AAMi9AAC4vQAAgDsAAIg9AABwPQAAyD0AAHA9AACIvQAA4LwAACQ-AACovQAABD4AAII-AABcvgAAHD4AAL4-AACAuwAAHD4AAIC7AABwvQAA-D0AAH-_AAAMPgAA6L0AABC9AAD4PQAAQDwAAGw-AACgPAAA4DwAAMg9AACAuwAA6L0AABC9AADovQAA6L0AABA9AAD4vQAAyD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=ho29u38Oc_4","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12962089952450319022"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10003617381162666753":{"videoId":"10003617381162666753","docid":"34-4-9-ZD9515623E156339E","description":"Explanation integration of vectors it is very important lecture of Mathematical Physics #rqphysics #VectorIntegration...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3179474/0497802c753d7f221abe94631060d753/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/SPxvCwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7zkns-Zn3Dw","linkTemplate":"/video/preview/10003617381162666753?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Integration Of Vectors। Mathematical Physics। Engineering","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7zkns-Zn3Dw\",\"src\":\"serp\",\"rvb\":\"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__8AAAD8BfwGAQf9Ag0G_wL2AAAA9A729AMBAADq7QoABP8AAAkH_f8LAAAA__L_-Pf9AQAG9vUNAgAAAA_6_PT1AAAAGxH_AP4BAAD1_P7tAQAAABQSAQr_AAAA7wQF_P7_AAD-Axb7AAAAABAHDAz_AAAAIAAt4XDROzgTQAlITlACKoQCEAAa8AF_-SgBzPrN_9737P8YAh0CuwUe_xM4GADK9v4A2BwMARvnuwDg6PMA9fPsALMq-P848eT-Fdwa_xHgGf9HJRoA5QXtASz38AEmDg0AIgDk_tsNC_0KFOgAGPHD_-sVyP8L8hP5EPjz_OwDwAIQ_kABHQAG_-_-JgICC_z-_y4mAA3O1f4M__UK9AAm_9YbIQI77PIG7x4O-Mw03wQn5eoCGfT79x7_xvsy6u0I7h4B9dbjIAICG_wIFiIk_sAE9vrk0BL79AXe-vgVDAD3DRLx6-rqCuvT4AkrE_YN3roGBfT66v_5-f7tpgLx8_QO8wogAC3nWA87OBNACUhhUAIqcxAAGmA06wAo-ir35hwu0-O9Chfx8RfNJfP9__XU_zD86tEqSb_F6iwA97wW4KMAAAAP3tQO5gDmesC2ykUD-fTvpgwOBn_l_k3Q7y0SxdImBQjaJUPvACAA9wyiMzH5kRwvUTogAC33fxQ7OBNACUhvUAIqrwYQDBqgBgAAAMAAAAAAAAAsQgAA6MEAAOBBAAAAwAAAuEEAABTCAADgwAAAgD8AAGBBAADAQAAAlsIAAGzCAAAcQgAA4MEAAJDBAABgwQAAsEEAAJzCAACgQAAAOMIAAAjCAAAgQgAAaEIAAI7CAADgwQAAIMIAAIhBAAAsQgAAIMIAAIA_AAAAwgAAYEIAAJrCAABAQAAAgD8AAKBCAAAMQgAAcEEAAChCAAAQwQAAsEEAAOBAAABAQQAAVMIAAGjCAACwQQAAfEIAAIA_AAA4wgAAGMIAAOBAAADQQQAAuEEAAEDAAACGwgAASEIAAETCAABgQgAAdEIAACDBAACgwQAAfMIAAGDBAACAvwAA4EEAAKDBAADgwAAAwMEAAIxCAACgQQAAQMIAANpCAAAQwgAA2MEAAFRCAADYwQAAQEAAAFBBAACQwQAAREIAAOBBAAC4QgAAwMAAACxCAABUwgAAiMEAAOBBAAAYwgAAUEEAAChCAACgwAAAQMIAAEDCAAD4wQAAYMEAACBBAACgQgAAqMEAAITCAAC-QgAAsEEAAMbCAABYwgAAYEEAAETCAADAQAAAmsIAACRCAACIwQAAQMEAAMBAAABMwgAAeEIAAHBBAABswgAAUMIAAHDBAAC4wQAAmMEAAETCAAAgQQAAUMEAAIBAAACyQgAAgL8AAAjCAADwwQAAAMEAAKDBAABQwgAAEMEAAGRCAADgwAAAGMIAABTCAAAAwAAAgMIAAFjCAACAPwAAMEEAACRCAADYwQAAgEAAAODAAABwwgAAAEEAAABAAAAQwQAAMEIAAIBCAAAgQgAAcMEAAIC_AAAQQgAACEIAAPjCAADEwgAAkEIAAADCAABAQAAAQMAAANjBAAAAAAAAIMEAAAhCAABIQgAAcEIAABhCAACowQAAwMAAAKBAAABwQQAAAMAAALjBAADwwQAAEEIAAARCAABkQgAAIMEAAIDBAACAvwAAmEEAAODAAAAgwgAAyMIAACBBAACAQQAAiMEAAMDAAAAAAAAA4EEAABDCAAB0QgAAAEEAADjCAADQQQAA8MEAABTCIAA4E0AJSHVQASqPAhAAGoACAACmvgAAXL4AANg9AABwvQAAuD0AAOY-AAAEvgAARb8AAJq-AABEPgAAhj4AACy-AACKPgAAZD4AAGy-AACAOwAArj4AAIA7AACKPgAA2j4AAH8_AABsvgAAZD4AABA9AAB8vgAAUL0AAAw-AABcvgAAUD0AAK4-AACSPgAAkr4AAHS-AAAkPgAAMD0AAAQ-AACAOwAAbL4AAPi9AABkvgAAtr4AADy-AACIPQAAJL4AAEy-AAAUvgAALD4AALq-AAC2vgAAEb8AAOi9AACevgAAmj4AAEC8AADgvAAAqL0AAG0_AADYPQAAcD0AABQ-AAAEvgAAqL0AAKi9AACgvCAAOBNACUh8UAEqjwIQARqAAgAADL4AABw-AAA8vgAAKb8AAEy-AABQvQAA1j4AAKi9AACgvAAAoDwAAIi9AADWvgAAMD0AACS-AABAPAAAiL0AAKg9AADGPgAANL4AAFw-AAB8PgAAUD0AAJi9AABwvQAAoLwAAOC8AAAUvgAA4DwAAKC8AABQPQAABD4AAMg9AABMvgAAML0AAAy-AAC4vQAAlj4AAJo-AABkvgAA6L0AAKY-AAC4PQAAdD4AAJg9AAAQPQAAjj4AAH-_AAD4PQAA6L0AAIA7AACWPgAAED0AAKI-AAAwPQAA4LwAAAQ-AACgvAAAmD0AAOA8AADYvQAAgDsAAEA8AAAcvgAAQLwgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7zkns-Zn3Dw","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10003617381162666753"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10269263258575513212":{"videoId":"10269263258575513212","docid":"34-8-12-Z4CA3C172FD93EE25","description":"We discuss math, physics, computer science, and engineering. I hope this helps someone. 💬 Check out my math courses. ➡️ https://freemathvids.com/ — That’s also where you’ll find my math courses...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2237650/0afd7e76204ba3e0be7a75a76e986420/564x318_1"},"target":"_self","position":"8","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DdyjOYiSXKmA","linkTemplate":"/video/preview/10269263258575513212?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Truth About Math, Physics, Computer Science, and Engineering","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dyjOYiSXKmA\",\"src\":\"serp\",\"rvb\":\"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-vn0AAAA3QLs9QP7AgD58vwJ_AAAACIA__4EAAAA7BP0-_MAAQD_-_IFAwAAAAsCAADxAQAAIRX_AP0BAAAGAfb2BP8AACQGCQsAAAAA7w7__vn_AAEBHgLzAAAAAB0J_ggAAAAAIAAt6bysOzgTQAlITlACKnMQABpgIwkAKg0V_toPK-Tz9tTzEA0Z-RDnDQAJCQAdA_vnEiTiwj_3_yfOI_a8AAAAGAnj_SIAvlsC1s8eCeoS4-_8ADB_-v4BBwUL6cHlDOIh6jcB8jUiAPb95R3_4b86HDYgIAAtu7VHOzgTQAlIb1ACKq8GEAwaoAYAAHDBAABEQgAAkEEAABxCAAAAwQAAHMIAAODAAACQwQAArsIAALhBAACuQgAAAEIAAODBAACYwQAAlsIAAIC_AAAoQgAAwEAAANhBAACOwgAAiEEAANjBAACgQQAAoEEAAIhBAACSQgAAEEEAAIBBAADIQgAAgEAAADBCAAAgQQAATMIAAJ5CAADQwQAAYEIAABRCAACiQgAAwMEAAPBBAACAvwAARMIAACRCAACAwQAAgMEAAEDBAABAwQAAoMEAAEBBAAAAQgAATMIAAFBCAABAQAAAoMEAAJhBAAB4wgAAQEEAACBCAABgQQAAdEIAAEDCAAAYwgAAKEIAAAzCAADYwQAAkEIAAIBAAAA4wgAAYMIAABBCAABAwQAAqEEAAAAAAADAQQAA6MEAAJBBAABgwgAADEIAAIhBAADgwQAAQEAAANjBAACIQQAAksIAAJxCAADIQQAA-MEAAJZCAABgQgAAUMEAAGDBAACgQAAAoEIAAIBAAACYQQAAgEAAAFjCAABcwgAAqEEAAIA_AAC4wQAAYMEAADBCAACQwQAAoMEAAEBCAAAIwgAAAEIAALjBAACgwAAAuMEAAEBBAABowgAAcMEAAJZCAAAAQQAAAMAAACjCAADwwQAACMIAALBCAACgwQAA-MEAAKLCAABAwAAAuEEAAGBBAACcwgAAjkIAAJLCAAAwQQAAkMEAAOBAAAAQwgAAwMAAADDCAAAcQgAATMIAAKBAAACSwgAAhkIAAFhCAADwQQAAQEIAAKDAAABQwQAAWEIAAFxCAACQQQAAgMEAABRCAAAcQgAAAEIAANhBAACAQQAAuMEAAMDBAAAgwQAAAEAAAFBBAADgQQAAAEIAAEDBAABAQQAAaEIAAGzCAAA4QgAA1sIAAKJCAAAQwgAAAEEAACjCAACIwQAAIMIAACDBAADoQQAAQEAAAJDBAAAgQQAAKEIAAIBAAACgwgAAisIAAMBAAABAQQAAaMIAAJbCAABoQgAAIEEAAGjCAAAcwgAABMIAACzCAACAvwAAAAAAACBCAABYQgAAAMAAALjBAACQwSAAOBNACUh1UAEqjwIQABqAAgAAVL4AALK-AABwPQAAgLsAAKA8AACWPgAAzr4AAGm_AADOvgAAgLsAAJi9AAAUvgAAJL4AAC0_AACgvAAA6L0AAAE_AAB8vgAAxj4AAOY-AAB_PwAAtr4AABk_AABkPgAAdL4AANi9AAAMPgAAbL4AABQ-AAAQPQAAuj4AADA9AAD4vQAAfL4AAPo-AABEvgAAiL0AAAy-AACGvgAAZD4AAFy-AACAuwAAdD4AACS-AACevgAAXD4AALo-AABcvgAAmD0AAMa-AACivgAAWb8AAPg9AABAvAAAoj4AANg9AAB7PwAAJL4AAES-AADYPQAAfL4AAA8_AADIPQAAkj4gADgTQAlIfFABKo8CEAEagAIAAHC9AABAPAAAqL0AAAG_AACIvQAA4DwAAFQ-AABAvAAAUL0AADQ-AAAcvgAADL4AALi9AAAMvgAAcD0AAEC8AAA0PgAA7j4AABC9AAADPwAAPD4AACw-AAB0vgAAQDwAAIC7AAAkvgAAED0AAOA8AADIvQAABD4AAJg9AACIPQAABD4AAIg9AAAwPQAA4DwAADw-AABMPgAAVL4AAEQ-AACCPgAAQDwAABQ-AAAQvQAAoLwAABQ-AAB_vwAA-D0AABS-AAAMvgAAgLsAAKA8AAD4PQAAgLsAABA9AAAsPgAAoLwAAIi9AADgPAAA2D0AAFS-AABAvAAAFL4AAII-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=dyjOYiSXKmA","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10269263258575513212"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"13246916414335661450":{"videoId":"13246916414335661450","docid":"34-8-2-ZE442F3550F3814FE","description":"In this video I go over a book that is extremely good if you are studying math, engineering, physics, or anything else that uses some math. This book is fantastic because it covers so many topics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/471481/8b323d295bbc961a4e40365d9c93ab40/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/7amfDQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DT13KTqDS530","linkTemplate":"/video/preview/13246916414335661450?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Great Book for Math, Engineering, and Physics Students","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=T13KTqDS530\",\"src\":\"serp\",\"rvb\":\"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_Qv-DwP-AQIOAP_2__8A4ALu9gP8AgAA5QkBAwAAABsL__MCAAAA5Ar7AfcCAAAEBfYIBAAAABkRCf70AAAAHxT_AP0BAADy7_8CBP8AABcUAQz_AAAA_xT-A_7_AAABHAL0AAAAAA8P9f0AAAAAIAAtV-i5OzgTQAlITlACKoQCEAAa8AF_7gAAggv--CcLAwD-IvUBrPgKAEQs_wDEH_QA7ez7AQQe4wDPAeD_BAMGAOLy_f8P4dMA8OvuAD_1-f8LDxQADQcVAEzO9wEr9foAGPUL_-0JIwDi8w7_F_j__gcL7_7-5yQACw8IAA3s-AI9BhcBIx0eBNoQDPoKBxgB7vcNBvfZ8gHcI_b9BxAA-dP2Cf79-vcFCh7qAMo1BQMPJQcBKv8a__AACAj67_YN8S4BBefh4ADpGOkK7T4W-OEH9vT5BQ8B5vP79ffECv3_8PH8Cur1BQzPCPwE-P4CH9D__fkc9gQpDwz53tnzByLB__sgAC0YICQ7OBNACUhhUAIqzwcQABrAB6w4Cb-6Fd08v0UGvAckMT6H4eO8WyUWvHi0AT456g09DgxFO11lgr2ajgq9iHfKPHR8xL4chO88mdotvS0LVj6wily9QS0mvXE8H773GmW7022kPDHqKr66cNY6QRIRvVADQb2Yp1O9rINNPcc0br0RcXM8ap0fvCCo6LoddRE8M9wAvX2Xgr1lRks7LYCEvEfVlT0z0Va9u5a1vJ2FeD28PpC7igU-vLSwsj1MJTK96eUgu3R76b2lFsq8u1qTvGXHJj6l9Rc9bgXBu3c3qjyWFo-9x0GuPPID_DtBTQi9s4mCvDYzxL1VwpM7Gpn0uxq1nD0x8Le8MOEnO7TTxbw5Org8DwJZO_YM_rvxhZQ9f8w9vIHGlj3x3FY8A1XIPFcnpz05Ccq89QZrO3Ddsz34EeQ8PTVquzydEL1kbKI94dSHu0FcPbtr1MM9xBsCPBbOPz2djyE9KSKDPP8aWr1zqDW99KopvNO2hjugJmk83ejIvIyySDyIVl08yBmUPD57Kb114yI96PA1PKOEqryzigy88TIevPb5Xj2yOmi9AD0LvE-t_jw6r_G8oyqcvPcgxjuNkZG61AJFvENtID2UyBQ9t__2OV7PIT2GOxU8j3_Ru7dE7r3AnsS7BXqXu2jI3TwMNrs7QckuvLMa3DwDYDw8Fos6vJ-dwrs_dpg5G7P0us_iu7wOGlW9CiCIu80K4DwBlqa7IZ7buxCKdzxAQn49k3oJu97gD7uLfE094WGduf8h_b2FpXA8PVaiOd49ID0COl295ObIORXKQjzKsWs9m8zqOSdmvTxp7hc8NMnQuH82nT1oJci8Rqb6uLKrP72vyFS9c64-t5D6xrz_4VO8ayWQud7FIL2orGE9OBGtuC4UuryjMo881E9IupjUtTz0QjA9yrTOt6koh7uzj1o9Bhu2uOoquDx15AU6YERTuEph3rtst3i9U2PDOaTfnr30-P09oAgVON_HLL0czEs8bmOQuVk_DL2u7yg9M5NNuD_JeDyeAb89e0CHtrn0uT2QFJG9f0FtOBUUkDxz5YK9j-l8OEx1XDxEfTE56D-KtgMaVr0XI_e8M7c2t2bK_bx-cYk9xZwBOchfOj7clcI8za9LOI3CBL3MVb07Rj9mtxjUMj286Ra9HW-duPfM0r3U0XG8B20NtrvtgryX5qG9-jj_ty5Ctz1--hU7Xdd5N9WU5Dy-Nqa986NNuIqWVz0QWPk9jRdAOPu5hz0VrPE8dDshN1gz1zwx95-9kNhoOOpJETxd1ik900GrNiAAOBNACUhtUAEqcxAAGmBR7gBD7CED6Ngx4wLL8jPv-xnpL-Yj__oR_xoLAO7rSL_KLO__Gsj_56QAAAAu-t3sFADxfwOM8DcF4f_Sovnj4XoDFAfRzCMSy__bD_z_SSPjM14A1uekOC7j1jRHAx0gAC2j7hc7OBNACUhvUAIqrwYQDBqgBgAAEEIAAABAAABQQQAAXEIAACjCAAD4QQAA0kIAAADCAABYwgAAwMEAABxCAAD4QQAAiMIAAIjBAAB4QgAA6EEAAEBAAAAAQQAAuMEAAKDBAABgQgAAgD8AAIBCAADIQQAABEIAAKBBAACwQQAAoEAAAGDBAAAkQgAAAAAAAFBCAABgwQAAIMEAAETCAADwwQAAAMEAAKRCAADIwQAAYEEAAJBBAACoQQAArEIAAOBAAACwQQAAEMEAAODBAAD4wQAAQMAAALTCAACAwAAAmEEAAKDBAABAwgAAUMEAALBBAAB0wgAAIMIAAABCAAAsQgAAQEEAAI7CAABQwgAA0EEAAJJCAACYQQAAgEAAACzCAACQQQAAkEEAAOBAAAAgQgAAkMEAAFxCAACQwQAAWMIAACDCAABMQgAA-EEAAOhBAADwwQAAUEEAAHDBAAAgQQAAOEIAAARCAADAQQAAuMEAAEDAAAAUQgAAgEEAAFhCAADYQQAAMMEAAOBAAADUwgAA4EEAAJDBAADAwQAA8EEAABjCAACIwgAAiEEAAIjCAABQwgAAwEEAABDBAACQQQAAQMEAAKhBAAAAwQAAkMEAAKrCAAA8QgAAgEEAAFDBAACIwQAAOMIAABzCAAAAwwAAIEEAAADBAABAwQAAeMIAAODBAADgwQAAGMIAAPBBAABQwgAAKEIAACDBAACAQAAAzMIAAKBBAABAQgAAoEIAAIhCAABEQgAAoMEAADDCAABgwQAAgEAAAAjCAAAQwQAAoEEAANBBAABwQQAAQEIAANZCAABYQgAAgEAAAIA_AAAwwQAAHEIAAIBBAAB8QgAAhsIAADDCAACIwgAA2MEAAOBAAAAAQAAAWMIAAIC_AADQQQAAoEEAACDBAAAIQgAAKEIAACBBAAAwQQAAqEEAAEDCAADowQAACEIAABTCAACEwgAAksIAAIBAAABoQgAAcMIAAAjCAABQwgAAUEIAAEBCAACQQQAAQEAAANhBAADgQAAAuEEAAIC_AADwQQAA4EEAAODAAACQwQAAkMEAAIjBAACowQAATEIAAFDBIAA4E0AJSHVQASqPAhAAGoACAABEvgAAwr4AABQ-AAAkPgAAUL0AAKo-AADovQAAVb8AAOa-AABQPQAAoDwAAIa-AABUPgAACz8AADy-AADovQAAAz8AABC9AADePgAAyj4AAH0_AACyvgAArj4AAIg9AAC6vgAA2L0AAJo-AACCvgAAML0AAEC8AACaPgAABL4AAEC8AABEPgAAvj4AAIi9AADYvQAADL4AAMi9AAA8PgAAvr4AAEC8AACKPgAAUL0AAL6-AAC4PQAAqj4AAKi9AAD4vQAAdL4AAJg9AADuvgAABD4AALi9AACAuwAAoLwAAH8_AADIPQAAgDsAADS-AAAsvgAA-D0AAIA7AABwPSAAOBNACUh8UAEqjwIQARqAAgAA6L0AAFA9AAAQvQAAAb8AAPg9AADgvAAAHD4AAHA9AAAQvQAA2L0AAMi9AABMvgAAEL0AAJK-AAAEPgAAgLsAANg9AAAFPwAAhr4AAJo-AADgvAAAqD0AADy-AAAwvQAAQLwAACS-AACAOwAAgLsAAOg9AAAwvQAAuD0AAAQ-AADIvQAAoDwAAEC8AAC4PQAARD4AAJI-AAB8vgAAUD0AAPg9AABcvgAAUD0AAIC7AAAEvgAABD4AAH-_AACAOwAAVL4AADC9AAAwPQAAEL0AADQ-AADovQAAgDsAAIg9AACAuwAA4DwAAKA8AAAsPgAATL4AABy-AABQvQAAND4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=T13KTqDS530","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["13246916414335661450"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"428584115"},"6118653604325248983":{"videoId":"6118653604325248983","docid":"34-10-3-Z2C823BAA26E10970","description":"Physics / Engineering Sketch - Mathematics / Science - Video Graphics FREE Stock NO Copyright License © CC0 1.0 - Public Domain NO Attribution Required ⏩FREE Creative Graphics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/915903/a85cf15b50ce336b6638325b0d92efca/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/TBJwbgAAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DJiJZDlpJXvc","linkTemplate":"/video/preview/6118653604325248983?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Physics/engineering/math sketch graphics [free stock] [no copyright]","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=JiJZDlpJXvc\",\"src\":\"serp\",\"rvb\":\"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_CDw8aDz8TDoIEJAGABCsqiwEQARp4gfATAAABAAD7_gP_AwT-AQwA-_r2AAAA4wLw9wP8AgD9-A7_9wAAABT--wUAAAAA6wf99fQBAAACCAERAwAAAA_6_PT1AAAADwP3_v4BAAD0-_78AwAAAAAHDwUAAAAA_xL-A___AAADBAv3AAAAAAYDAQAAAAAAIAAtdlDOOzgTQAlITlACKoQCEAAa8AFjBDf-z_vQ_8oFAAAPNPECzy30ANoq3gDkDgIAzBb9ASP57wEmAfEAEQT6AIHy_wIxMin_Du4lAOnZGv_r3PoA2wL8AQAC4gFCAhb_9ur2APkTB__b_xIAwcnvAfUEzwEM9PD-DfYB_ub69wY4DCsACPS6Agn2I_3b8gX_8RgfAfMJ7fcCEO0KAOj5_slGDAIcEggCGhn2COH0Af4Q-xwFLNvm_ejvGwrx9v4F6Pju_uvPBwHyqPsCDTkB_80zGgIEHRD-w9H49-bVGQDyAAT_BQsM7fUu8wP1Gvj4HQP69O4m7f4f7Qb7HQX--Brd9BAgAC3KRBg7OBNACUhhUAIqcxAAGmAa8gD40Afj9SQp3wO6tE3W8f_S4vER__Ld_y7jzB9AKsm2KOQADuYP-5wAAADz-6YgHADrf8KjLSUTSUmy0Owq_n4V___k5iM59-5M7V3uIDr3RzQA8_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_AADoQQAAcMEAAJhBAAAwQQAAQMAAANjBAAAAQgAAYMEAAAjCAACOwgAAUMEAAPBBAACMQgAAwEAAAIBBAABwQQAADEIAAOjBAAAQQgAAkkIAAODBAACAQAAAqEEAAODAAAD2wgAANEIAAMDBAABAwQAAUMEAAEDAAAAMQgAAEEEAAFzCAAAowgAAiMEAAJRCAADYQQAATMIAAMBAAAAQwQAAYEEAAAAAAADYQQAAUMIAAMBBAADAQAAAeEIAAFDBAABAQAAAYEEAAETCIAA4E0AJSHVQASqPAhAAGoACAAC4PQAADb8AABC9AABAPAAAmD0AALY-AADSvgAA_r4AACu_AABcvgAAFD4AAIK-AADYPQAAAT8AAOg9AADSvgAAfz8AABA9AAAEPgAAvj4AAFk_AADovQAALD4AAKA8AABUvgAAFb8AALo-AACSvgAAUL0AADA9AADaPgAAgj4AABw-AAB8vgAABT8AADy-AACgvAAA6L0AAGy-AACOPgAAwr4AAMa-AACmPgAAmD0AAEA8AABAPAAAiL0AAMq-AAAQvQAADD4AABw-AAAvvwAAyL0AAEA8AACoPQAAmD0AACc_AACYvQAAND4AAEQ-AACIvQAA2D0AAGQ-AAA0PiAAOBNACUh8UAEqjwIQARqAAgAAir4AAJa-AACSvgAAGb8AAGw-AAAsvgAAuj4AACy-AADgvAAALL4AAJi9AAAMPgAAEL0AABy-AAD4PQAA4LwAAPi9AAAFPwAAqL0AAOo-AACAuwAAUL0AALi9AAAQvQAAMD0AAI6-AABEPgAA4LwAACw-AABQvQAA6D0AAOg9AABQvQAAgDsAANg9AACYvQAAHD4AAFw-AAAEvgAAhj4AAAk_AAAcvgAA2D0AAFA9AAAwvQAABL4AAH-_AABsvgAAQLwAAEA8AADYPQAAQDwAABQ-AABkvgAAqD0AAPg9AAC4vQAAoLwAAKi9AACAuwAAyL0AANg9AACuvgAAML0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=JiJZDlpJXvc","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["6118653604325248983"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2971985074"},"64634735327992521":{"videoId":"64634735327992521","docid":"34-1-15-Z265C0352AB596A57","description":"This lecture covers the fundamental concepts of Electromagnetic Theory (EMT), focusing on the Continuity Equation and Maxwell's Equations. 00:11 – Introduction to the Continuity Equation and the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/491717/5f74c9847ce8265cca3fb6873de2e489/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/0fQh4gEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DUbqWwloH-14","linkTemplate":"/video/preview/64634735327992521?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Engineering Physics II EMT Maxwell equation II 2026 II @japrgsclasses @Ishqhaiphysics","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=UbqWwloH-14\",\"src\":\"serp\",\"rvb\":\"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_gkC_QD1DwUC-QT_ARQCBfn1AQEA__n3_QcE_gDy_AsI-wAAAAEN-v0FAAAA9wb6_fP_AQAT_-8IAgAAABcPCf71AAAADwP3_v4BAAAEAwnsAQAAABoO9Ab_AAAABhUG9gD_AAAAEA31AAAAAB4V_QMAAQAAIAAt4HXMOzgTQAlITlACKoQCEAAa8AF_D_kA2-3o_-cTxQH8KQEBsycf_xkh5QDTCuwAwvjPAN8U1wDw8egAHhcTALAQCgE299L_DOnvAR_0A_8h-Pb_-gD7AD7j8QE6AhP_E_j4ANP49f4O7QD_9uC_ABcX4gASACb96fzeA_ADywEZ7BMCBh0mCAz9Av3s9xT_2hMCAfj84wAEB_cA694R_N0XHAEC3wcHEhAH-_YR-QAC6-oG7OoABiIC6QLz3gL_6AoJ-gHv-gQU6PoCAwYm__jo-AIBCin8A-Dz-v3X-PUU3w0I5wD4BP75AQ8W9QwE7tIA8_fgDfnREAMBCwz4-vkK-PQgAC1tAy07OBNACUhhUAIqzwcQABrAByuE7b43C8U7s2y5u1PkVb1R3oc8i-IwvEleJ73jVVY9pr_NvD7Q6j2ZzvM8nYdRu7cNk74bVBM8G7QcvcoyND4R9708mRIkvYc0Kr6eaag9tnJlvPWha76E0wc9dDXDu_N0zj1vzFy9DNEcPeDZfj1ScU29zTdHvCS6Ir0JDIO9S-okvYlH_byTnai9a3ARvRt_hzzXN5u9rqliu5SE5D3WLrc8_BFQPPRn5DxOLIu8xMEvvRCrZLxD-ae8Nc3gupTCHD7kk9-7eqMbPUl0Jb0IXBK9_lx6u98JDL3PKVA5to4evA97hj3suZE9OaErvdjCBz1Ex5m98juyvPmgB770Gps9L4GAO_3Puz14uYg9qyaIvOvKgrz3e_08GFhsvGz7aLy8C688p6xCOQ-_hj3vnKw9w1WUPN4-yz2911o9FD_GPMse17x2YbU8DfwoO55XgT3AX6c8ioYWvFZHbj1_6Hg9qxPGvMf8kr2iXcW8DdMtPKhOjD1WEQ49tGx3PPhAIT1PJgk8rGG1PMU1Qz34UQ2-CW8suxOJGL3nujq8pPGVvLBuIb3Hd_O8jY1tu5Fk9j1po1-8AJOSu6Y_kL184Lq7wJ4nO7IRyLy9Ski97faTus4rCL2gBoQ71EKsO_xlgb2OoVI83-tavKocibwrpgI-DuoNuZU-PjzIkym9WOu8u7olwTvAAGc8K-FHu1t5ST0yLmY8yVo_u2nk0z3J0r28UrAGuNApSDuTLRy99QdSO9mbszwsq3-9RmOZuWa2UD2J7tm9IZW9OT_ekjsQCM8888TWuDikwb2KFgq9qf8kuTlYKT0I6Sm82_VpOfp1jDzrqoC981_EOEJD2jxG2ZE8aTf6Ocp6AD05qG493BKYOl9_vb0fGDu9CNU3uQiu0r1Yaic9El4hubdETj2pewO5e7couL9oqrwB0V07cWCLuSY3zDqR_qi8iQjeOcgvcjyXqJ49hJAHuJi0Ujs_cMW99y5gOdTuV7ykORI-xf1VuTIirLxKV5e6s1Lhts_GBT3cTKA8h_YnuJoHED3eOMm9CDT7NgU9yjx3f2G86tkvOFRT0r3odM-8L_jFN4Db7jygtpe9OZd7ODMxIr0ESJO9IFcANvcoszt6MRk92XrcOMHjKz7cpWi8B4l0uYnCuLy8rt-8P86btnP5ajxV-KO94xA7N5dRkb2Hch09UziLth3jDDxnRt-9aVASuMr0cD0i4Ss-8cuKOPCyNb1czM89DEYKuehVs70WJOw8zbghOAsxTbytIee8gxjLNyAAOBNACUhtUAEqcxAAGmBC6wAlFCwEDfwp5gITCSrt9gzcA9Hs_wT8AAksC_EWFP647fX_CcEW_7UAAAAf8tsG_wAKYuLl9Tjr8_HlnOUIAX_8GgbW7BsJ4f4k6w4NQRrjH0AA3fu-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-EEAALBBAAA4wgAAsMIAAJBBAADIwQAAgEEAAIA_AAAwwQAA4EAAABDBAAAUQgAAEEEAAAzCAAC4QQAAIMIAAFzCIAA4E0AJSHVQASqPAhAAGoACAAAsvgAAEL0AAIA7AAD4vQAAML0AABw-AACAOwAAa78AAJq-AABMPgAAqD0AAHC9AAC4PQAAoj4AAKA8AACevgAAhj4AADA9AAC2PgAAzj4AAH8_AADIvQAAbD4AAIg9AABUvgAAuD0AAAQ-AAAcvgAAMD0AAIg9AABkPgAAuL0AAEy-AACovQAAvj4AAEC8AADgPAAAJD4AABS-AABkvgAAmL0AANg9AAAwPQAAiD0AAAS-AACgPAAAZD4AAIK-AABAvAAAPL4AADA9AAA8vgAAkj4AAJg9AAAUPgAAMD0AAEE_AADIPQAABL4AADC9AAA8PgAA4LwAANg9AADIvSAAOBNACUh8UAEqjwIQARqAAgAAdL4AAGQ-AACgvAAANb8AADw-AABQvQAAUD0AAAy-AAAUvgAAxj4AABw-AACIvQAA4LwAAHS-AACIPQAAmL0AAJg9AAA3PwAA-D0AALo-AACIvQAAiD0AANg9AAAwvQAAyL0AAOC8AACIPQAAyD0AAAQ-AACAOwAAoDwAADA9AABQvQAAyL0AABS-AABQvQAAQLwAAEQ-AAAUvgAAgLsAADC9AADovQAAmL0AABC9AACgvAAArj4AAH-_AAAcvgAAqL0AACw-AACYPQAA2L0AAEQ-AABAvAAABL4AAKA8AAAQPQAAQLwAAAQ-AADIvQAAcL0AAKi9AACAuwAAMD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=UbqWwloH-14","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["64634735327992521"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"4172410491"},"2074798988504994794":{"videoId":"2074798988504994794","docid":"34-2-14-Z682DC95EA618A250","description":"Check out my course on Udemy: learn the skills you need for coding in STEM: https://www.udemy.com/course/python-s... This from-scratch tutorial on SciPy is designed specifically for those...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/760719/deedf103d0f1b7ad95888d810e6eb4e3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/P0zbPAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DjmX4FOUEfgU","linkTemplate":"/video/preview/2074798988504994794?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"SciPy Tutorial: For Physicists, Engineers, and Mathematicians","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=jmX4FOUEfgU\",\"src\":\"serp\",\"rvb\":\"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_AQM_gIA-_4C_wME_gEVAvL69QICAOUC8fcD_AIA_fYGAwIAAAAT_vsFAAAAAAD0AAMA_gEACgUACAQAAAAP-vz19gAAABcG9vn-AQAA_PgC_wL_AAAMDQ73AAAAAAAFCgMBAAAA9QcB-AEAAAAOEAIH_wAAACAALS1p2js4E0AJSE5QAiqEAhAAGvABXAkc_8_2EP_i-O8AzAv6_4HtHP8m_9sArNb1AN3x2wD67gsA6Pw5_vgbFQCsEAsB3e_f_wr5AAAu0B7__gfsABgQ9wERzQMAVuwOANv0Bf7KDQoBBu8YAAne6v8w-Of9Iv0g_-wC7wPr3dsANAsoAP4IEAEa4eP_6_YV_xcOAf_xEtn-1wIN_N_8Lv747w4G_Q3lBCIx9P7W9fYCIP3oAhf8JwEPJwMI8gQEANX7B_rgBN4C_Av9_e7nCfoNGvX60ecSA97RCfgK6w79HPEF-PAIBAoI8PYH8w8E8Anz-QnnIxYC6hbzBPUe9xP26fPqIAAtQVolOzgTQAlIYVACKs8HEAAawAcHB9u-eQOMPMpnMTqjUzy99MgbvOtNMbw7xyC-LwqMvKsLU7wUeg0-jQ6jPDoC3Tz8jLu-WlMPvMbqxbstC1Y-sIpcvUEtJr0c4d07qcbkO5VyKL3zWQ6-OG83PXb7LLsrS3S8s773vMckSDvRHyo-6rAivVDCzLwgqOi6HXURPDPcAL0RQpY969qDvZo737y_s0I9lEKou0dQIT3Gvqk9TypQPEkcCzyHhFS9kiRoPb_h0zrMG1S79iUbvPUZBr2CQsg92hPuPCLY3Tzu0DC9WHqIvIsqz7vZbDY93ACiPDYS1zsTZ8G7loYvu-dPQLxzUrM8rlIwPBbHnDyX5DC-RG8sPeyCZryo_As-pYOVPSSOhrwDc1m9DeaaPS9jL7z1Ugw9oA9gvPxPxDs9Jlc9dxGmPCO2AD0pOQw9g3AgPXfYhLwSq3U9EAFsPWuEM7lRM7-8xVZQPdFIuryyy4E8agSBPckMirxYa229Qo_eu4s-1bzgfTq9RiFuPRKpArx9CdU9EaqzOupChzukGoY9YXxHva6njLuZIX-9ecrNu0Xahrx0fso8aiRzPYXEqLtIGAY-bsllve3VBbyqtVW85lDQPE_QZDvou_s9CxZdvaDmHDyPrBe9R3FuPapQFbyRCw49IdO1PM6cAbyFZvK8yU4pPXVPezptxoo6R5qRugVCHTxHuZo9Y1Y5vF4GjDu6np0903vTO3k1ijqsbzA-5J7OvdnHK7ib3NS8800kvf5cFzubn-67McjnPIrYkjs0l7U9uqncvOZYeLhmCbw8vXDGOxTvnTrt5Yi8zHm2Pb_xOrlI0RQ85e3IPP2ODTqox9a9WQ1TvcknP7ie8FC7nKkrvdWBxbk6RQK9TYk_PULJLzo-Qp296KpUvZaHTrnMNVa91ovjO0ZKALmkZz89uw6VPdg-djhNhuM8RDzIvOUdKrmh5a-8VE0VvbUYMbgCMk-9I4LRPXW3vDixOWK9IXIfvEIjArn9WJc93Lf6PR1WxDUXhXg9J7zkPeiOMrf-P5M9m85pPWW2dDfUuki9aqWQvQ61NrgiM9c9cimZO_ktbDdaNKO9fFpKPXIgbDgCigc8nzmgvbMRnbdBcXY93jRCPV-corZXwgO8AAiOPIzimjjCpNg9NiomvXu0Lblwpz68J9NtvXRBX7gdmaK8IoFQvPP6DrV2LGA90_SZPSb9ZLe4cwE9zCuCvS9mdLjK9HA9IuErPvHLijg_-ku8qhkoPR74w7iVaU-956-pu_C8tzZRODM6dyY5vf8F47cgADgTQAlIbVABKnMQABpgJwcALwI30_UPGv3i1N0Luvwc0jXrFQD48P8pDwgaAzDI3RIU_wTwH-KwAAAAD_fgFfoA2mbbz_T9-gAN3KUXCgt_Bxv_yw4n-6u5J_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_AAAAQAAAgMAAAPDBAACQQQAAQMIAAADCAACYQQAAeEIAAHDBAACgwAAACMIAAMrCAACYQQAA4MEAAMDBAABMQgAAIMIAAIBAAABMwgAAwEAAACxCAABQQgAAYMEAANhBAAAgwQAAiEIAAGTCAAB4wiAAOBNACUh1UAEqjwIQABqAAgAAQDwAAMi9AACgPAAATD4AAOC8AAAUPgAA6L0AACO_AACevgAAND4AABC9AAC4vQAAFD4AABQ-AAA8vgAAiL0AAKY-AADgPAAAuD0AAAU_AAB_PwAAJL4AABw-AAA8vgAAuL0AALi9AAB8PgAAUL0AALK-AACAuwAAxj4AAFC9AAAwPQAA6L0AALi9AAA0PgAAyD0AABC9AADGvgAAor4AAEy-AACovQAAmD0AAJa-AACAuwAAiD0AAK4-AACevgAAyL0AAO6-AABsvgAA1r4AAL4-AAAEvgAAcL0AAIC7AABVPwAAZL4AADQ-AACCPgAAyL0AAMg9AABQPQAAoj4gADgTQAlIfFABKo8CEAEagAIAAJq-AADoPQAAFL4AACG_AADYvQAAQDwAAIo-AABwvQAAcL0AAJ4-AAAMvgAAML0AAIi9AAAkvgAAcL0AAEC8AAD4vQAALT8AADy-AACePgAA2D0AADy-AADgvAAA6L0AAMi9AAAUPgAARL4AAFA9AACIvQAAuD0AAIg9AACgvAAAoLwAAIK-AAA0PgAAQDwAAJY-AACIPQAAXL4AABA9AAB8PgAAML0AACw-AACAOwAAgLsAALg9AAB_vwAABL4AAHS-AAAwvQAAij4AAKC8AACyPgAAQDwAADw-AACAOwAAiL0AALi9AAAwvQAA4LwAAJg9AABcPgAAML0AAKC8IAA4E0AJSHxQATAJOAFKAFIJCA8QkgIYADABYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=jmX4FOUEfgU","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["2074798988504994794"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"763810742"},"12245551053039735799":{"videoId":"12245551053039735799","docid":"34-1-13-Z34DA4482D87A84BD","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/4033041/b3829d3a230edc918a1dc332b9a05a2d/564x318_1"},"target":"_self","position":"14","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-W3aVf5pF-8","linkTemplate":"/video/preview/12245551053039735799?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Top 24 math, physics, engineers greeks","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=-W3aVf5pF-8\",\"src\":\"serp\",\"rvb\":\"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_ggQkAYAEKyqLARABGniBCQkFDgP9APv-A_8DBP4BFgL88vUCAgDjAu_3A_wCAPXvCvz-AAAAHAL1APgAAAACAfHy_f4BAAYE_QEFAAAAB_kH-fQAAAAH_PD3AAEAAPT7_vwDAAAACwoE-v8AAAD_Ev4D__8AAP0NAPkAAAAADxECB_8AAAAgAC3wYMw7OBNACUhOUAIqcxAAGmAZCwA68x0I2fjt9O7yBTwOGx33_gDoAADeABAJD_IPHdXRK-z_B9kX2b4AAAAVJvQMIwDtUPvU7xAi9Q_8wwUT8n8EI9M_CQkO4AMB0RroQ-H8HO8A4f0IDCf__UUkJCogAC0VNFE7OBNACUhvUAIqrwYQDBqgBgAAuMEAAKBAAABUQgAAdEIAAIC_AACwQQAAFEIAAOBBAAB0wgAAAAAAACBCAAAcQgAA4MEAAEjCAADIQQAAKMIAAABBAABgQgAAJMIAAKLCAAAIQgAAgMEAAKBAAACsQgAA0EEAAOBAAABMwgAAfMIAAPRCAAD4QQAACEIAAIBCAAAAwgAA4EAAAIDAAADYQQAAHEIAACxCAAAwwQAAiEEAACDBAACgwAAAwMEAADBCAAC6QgAAFEIAADzCAACQwQAABEIAAJBBAADwwQAABEIAACDCAABwQQAAXMIAAADBAACCwgAAUMEAAFDBAAAAwQAAMMEAALjBAAAcwgAAaMIAAJhBAADIwQAAREIAAMhBAADAwQAAwEEAAKhBAABoQgAAgL8AAABCAAAgwQAAgD8AAEjCAAAQwQAAgEEAAGzCAACAwAAAiMEAAAzCAABYwgAAsEEAAGBBAAAQwgAA-MEAAPBBAAA0QgAAFMIAAHBBAAAAQgAALMIAAJjBAACuwgAAuEEAAAzCAADowQAAgD8AANDBAABgwQAAhEIAAKTCAACswgAAEMEAAKjBAACIwQAAgMAAAChCAACuQgAAQMIAAODBAABQwQAAgEIAALpCAAAAAAAAkEEAAKhBAADAwAAAmEEAAIDAAAA8wgAAkMEAAAAAAACAQAAAIMEAAEBBAAAUwgAARMIAAChCAADgwQAAUMEAAEBAAADIQQAAAEEAAAAAAAAgwgAA6MEAAPLCAAAAQQAAPEIAAJxCAACgQAAAIEIAAMBBAADIwQAAoEEAAKjBAADQwQAAwEEAAKDBAABAQgAAPMIAAETCAACwQQAAfMIAAAjCAADgwQAAEEIAAIC_AACwQQAAgsIAAMDBAAAAwAAAoEEAAPBBAAAwwQAAVEIAAABBAACUwgAA4MAAAADCAACAQAAAoMAAAIBAAAAgQQAA6MEAAFhCAABEQgAAIMEAAIrCAABgQQAA0MEAAMDAAAA0wgAAcMIAAHhCAAD4wQAAAAAAAIjCAADAQQAA8MEAAJBBAADAwAAA4MAAAHzCAAAAwwAAkMEAAABBIAA4E0AJSHVQASqPAhAAGoACAABAvAAAFL4AACQ-AAAsPgAA6D0AAFQ-AABkvgAAG78AAJK-AABAvAAAcL0AAKi9AACSPgAAND4AAPi9AADovQAAij4AAGw-AAA8PgAAFT8AAGc_AACYvQAAoLwAAGw-AAAwvQAA4r4AAJo-AADovQAAEL0AAKi9AABEPgAAlr4AAIa-AAB8vgAAuL0AAIA7AAD4PQAAQDwAAL6-AACSvgAAdL4AAK6-AAAQPQAAiL0AAFC9AACgvAAAZD4AAFS-AACePgAA4LwAAEC8AABsvgAAyD0AAFA9AACivgAAgDsAAH8_AADovQAAuD0AAFw-AABwPQAAMD0AAFA9AACgvCAAOBNACUh8UAEqjwIQARqAAgAANL4AAKC8AAAUvgAAJ78AALi9AAAkvgAAPD4AAPi9AAAwvQAABD4AAOA8AAC4vQAAXL4AAOi9AABwPQAAEL0AADC9AAAZPwAAFL4AALI-AADYPQAAyL0AACS-AAD4vQAAgDsAAOA8AAD4vQAAgLsAAKg9AAA0PgAA4DwAANg9AACgvAAA-L0AADw-AABwPQAADD4AAOg9AAA0vgAAoDwAALI-AACYvQAAML0AAKA8AAD4vQAAmD0AAH-_AACovQAAiL0AACS-AACIPQAAML0AAPg9AABQvQAAyD0AAIg9AACAuwAA4DwAAIC7AADgPAAAQDwAAEA8AABQvQAAuD0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=-W3aVf5pF-8","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":640,"cheight":360,"cratio":1.77777,"dups":["12245551053039735799"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4283986452444637722":{"videoId":"4283986452444637722","docid":"34-1-0-Z1664B12D6BC45E49","description":"Archimedes' impact spans mathematics, physics, and engineering. We explore his inventions like the Archimedes screw and contributions to geometry, showcasing his ingenious mind.","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2714630/bea14ea797451852c6bac4707f71bfe6/564x318_1"},"target":"_self","position":"15","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D7dvl6qX5stg","linkTemplate":"/video/preview/4283986452444637722?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Archimedes: Genius of Math, Physics, and Engineering!","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=7dvl6qX5stg\",\"src\":\"serp\",\"rvb\":\"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-wr-CQL9APQBBAYIBf0BDAD7-vYAAADjAu_3A_wCAPfr_gcHAAAADwjz_vwAAADvEPX89QABAA_9_gMEAAAAFwb98PsAAAAYBvX5_gEAAP_7-_8D_wAACQoOCQAAAAD_Ev4D__8AAP0NAPkAAAAAFAL5AAAAAAAgAC3gdcw7OBNACUhOUAIqcxAAGmAXBwAp9RMF4PsQ8vz17gj5_jj2CentAAL6AA0F_-D3IdzEGwYAHOYWDcoAAAAn9_YM7QDSROLb1AIQ7gcE5PsGCH_h_90S7yDwxunt7SoOGxEIHCsA2wT-_gv30iUPFiggAC0LZG07OBNACUhvUAIqrwYQDBqgBgAAGEIAAGDBAABwQQAAQEAAAKDBAACwQQAAMEIAAAzCAAAAwgAAwMEAAGxCAAAcQgAA8MEAAARCAABsQgAAkMIAAFBBAAAkwgAAMEEAABDBAACIwQAArMIAAPDBAABQQQAAkEEAAMDAAAAkwgAA4MEAADBBAACmQgAARMIAACBBAABYwgAA4MEAAOjBAACgwAAAgEAAANRCAABUQgAA4MAAAEBBAACIQQAA4EEAAHxCAAAAQAAAoMEAANDBAABUwgAA6EEAAOhBAAAAQAAA-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-AACivgAAUb8AAPK-AADYPQAAiD0AABC9AACIvQAA0j4AAIi9AACyvgAA2j4AAKC8AACoPQAACz8AAGs_AACWvgAAHD4AAIC7AABQvQAAHL4AAAQ-AADYvQAA4LwAAOA8AAAsPgAATL4AAGy-AAAEvgAAdD4AAGy-AADYPQAADL4AACS-AACWvgAAJL4AAAy-AACoPQAAEL0AAIq-AACovQAAcD0AAOC8AAB0vgAAmr4AAKa-AADWvgAAJD4AABQ-AAAMvgAAcD0AAH8_AABQvQAAFD4AACQ-AACYPQAAHD4AAHA9AACOPiAAOBNACUh8UAEqjwIQARqAAgAAHL4AAKA8AAAQPQAAHb8AAHC9AADgvAAAXD4AAIi9AABQvQAAJD4AADC9AABEvgAAiD0AALi9AAAQPQAAuL0AANg9AAAfPwAAML0AAM4-AAC4PQAAmL0AAFC9AAAUvgAAED0AABy-AADgvAAA4DwAABw-AAAMPgAAMD0AAFA9AACgvAAAML0AAFw-AACgvAAARD4AAFQ-AAAkvgAAJD4AAJI-AADYvQAAqD0AAOC8AABMvgAAND4AAH-_AADYPQAAhr4AAIA7AADYPQAA4LwAAFQ-AABwPQAAgLsAAKg9AABAvAAA4LwAAEC8AADgvAAAmL0AAIi9AABQvQAABD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=7dvl6qX5stg","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4283986452444637722"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"14773058561918606872":{"videoId":"14773058561918606872","docid":"34-10-4-ZE649BA11D823961A","description":"How do you get good at math, physics, computer science, engineering, programming, or anything else. In this video I talk about this. Stay strong my friends. 💬 Check out my math courses. ➡...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4775373/40b146e9053fda9f5d11a32bf20f1595/564x318_1"},"target":"_self","position":"16","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DfLypZNaZ8MU","linkTemplate":"/video/preview/14773058561918606872?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How to Get Good at Math, Physics, Computer Science, Engineering, and Programming","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fLypZNaZ8MU\",\"src\":\"serp\",\"rvb\":\"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__4H-ADv-_7_CQP_ARb8_AD1AQEA4xD8-Aj9AQD58_wI_AAAAA4G-gMCAAAA7hH1_PQAAQD-_AUTAwAAABH6_PP0AAAADxz6A_0BAAAB-PADBP8AABQLCQH_AAAA8Q3__vr_AAAEAQPrAQAAABj_BPwAAQAAIAAt_wC_OzgTQAlITlACKnMQABpgMwsAIwAX5dj1Jtz6-OgfIhMm3hP8Ff8XCgAzGhDLDR_XtjEH_zPrIPqvAAAAFyK5ABIA2WsaydcwAukfs8D97hx_CPwGCREJ27zsDftB8SktFyc3APUC9QkUxbU-Mhk4IAAtZ6csOzgTQAlIb1ACKq8GEAwaoAYAAGDBAADgQQAAAAAAAAAAAABQwQAA-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-AAA8PgAAEL0AAHA9AAC-PgAAir4AAEm_AABUvgAAcL0AANg9AACuvgAAUL0AAMY-AADYvQAA4LwAAC0_AAAsvgAAbD4AALY-AAB_PwAAZL4AAL4-AACWPgAAkr4AADy-AAC2PgAAcL0AAFA9AAAUPgAAuj4AABw-AABUvgAAUL0AAAE_AABwPQAAML0AABS-AAA8vgAAED0AALK-AACAuwAAsj4AAPi9AADIvQAAbD4AAII-AAAsvgAA-L0AAK6-AACovQAADb8AACw-AAAMPgAAHD4AADC9AABRPwAAmL0AABy-AAAUPgAA-L0AAAs_AACIPQAAij4gADgTQAlIfFABKo8CEAEagAIAAKi9AABwvQAAEL0AABG_AAAkvgAAoLwAAAw-AACIPQAA4DwAADA9AABcvgAATL4AAHC9AABEvgAAmD0AAOC8AADIPQAA-j4AAHC9AADaPgAAXD4AAJg9AAA8vgAAoLwAABC9AAAwvQAAQLwAABA9AAAwvQAA6D0AAKg9AADIPQAAqD0AAEC8AADYPQAA-D0AAM4-AAB8PgAAmr4AAGw-AACGPgAAML0AAAw-AABQPQAAgLsAAPg9AAB_vwAAFD4AAIa-AAAUvgAAcL0AALi9AAAMPgAAQDwAACw-AAAsPgAAgLsAAHC9AABAvAAA2D0AAMi9AADgvAAAFL4AAJI-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=fLypZNaZ8MU","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14773058561918606872"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4593558992774960233":{"videoId":"4593558992774960233","docid":"34-8-1-Z3CC39124E14FBDD8","description":"In this video, we dive into the concept of vector addition, unraveling its significance and demonstrating how to perform this fundamental operation in physics. Join us as we explore the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4590953/353dc8ba71caed53fcc237a1845468e6/564x318_1"},"target":"_self","position":"17","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DavFWLBRcpI4","linkTemplate":"/video/preview/4593558992774960233?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Easiest Way to Add Vectors for Physics & Engineering!","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=avFWLBRcpI4\",\"src\":\"serp\",\"rvb\":\"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_QkE_AAD_wUBDgb-AhgGBgL1AgIA8w_29AMB_wD69P0H_AAAAA_9AQMKAAAA9v3-9Pn_AAAJ-gANAwAAABD6_PT1AAAADwP3_v4BAAD99gH49QIAAREECBEAAAAA7hX_-v___wDu_wfxAAAAAAL7BgAAAAAAIAAtS-THOzgTQAlITlACKnMQABpgLw0AHBwF-vbzD_QPBe8eCw8lCP77-gAA0AAHFN3vAhfuwvX8_xPTGv7JAAAABhDa_-cA90jy6ssgCAT35r4E-SB_BAP4Gwz-CO_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_AACSvgAAML0AADA9AAD4vQAAlj4AAOg9AACovQAAoLwAAMg9AABQPQAApj4AAOI-AAB_PwAAJL4AAKo-AABUPgAAnr4AALg9AADIPQAAkr4AAHA9AACmPgAApj4AAKi9AABcvgAAUL0AAIY-AACKPgAAQDwAAOi9AABcvgAAZL4AANa-AABQvQAAmD0AAGy-AABMvgAAdD4AAAQ-AABkvgAAyL0AAMa-AACgvAAAkr4AAHQ-AABwvQAALD4AADC9AABHPwAAUL0AADw-AADuPgAAoDwAAOC8AAAwvQAAzj4gADgTQAlIfFABKo8CEAEagAIAAHS-AAAwPQAATL4AAA2_AADgvAAAQDwAAII-AABQvQAAiL0AAMi9AACYvQAAlr4AAEA8AAA8vgAAgDsAAIi9AAAkvgAAAz8AAHS-AAAcPgAADz8AAFC9AACoPQAAiL0AAKA8AAAQvQAAZL4AAAw-AACAOwAAoDwAAII-AACoPQAAir4AAHA9AADIPQAAFL4AAPI-AABkPgAApr4AAEC8AAD-PgAAcL0AAKo-AACIPQAAHD4AACQ-AAB_vwAA-D0AAPi9AADgvAAADD4AAKA8AACaPgAAMD0AAAQ-AAAUPgAAmL0AAKg9AABAvAAA4LwAAIi9AADoPQAAFL4AAEC8IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=avFWLBRcpI4","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["4593558992774960233"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"9583343685546376155":{"videoId":"9583343685546376155","docid":"34-2-15-Z511D33A9B1FD0BEE","description":"GET the free pdf notes via link https://drive.google.com/file/d/1vwoQ... *download OUR app RGS classes on playstore via link visit course...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2206663/9a358dfa55a916c1f7b9710797e6cde4/564x318_1"},"target":"_self","position":"18","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DlbPRJCEt5CY","linkTemplate":"/video/preview/9583343685546376155?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"engineering physics first semester electromagnetism final exam_AKTU, PTU 2023 revision hindi","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=lbPRJCEt5CY\",\"src\":\"serp\",\"rvb\":\"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_Q0C_gAN_voJ9v__AO0E_PgFAAAA6fgFBfz_AAALAAIB_QAAAAYOCPn3_QEABvb1DgIAAAAJCP_29wAAAA8M-wT-AQAA9f_zAgP_AAAeBQgJAAAAAPkWCPz-_wAA9hYG-QAAAAAMA_sKAAAAACAALYiXzjs4E0AJSE5QAipzEAAaYDH6ACEJARfpLSjtCfjvROrlOfgI2dn_-skA8BbI5OgE4cjzFgA7_AEBtgAAAArr3Qb7AABk8Nj8G_YJ6r62zQ4bbPIP9xw4B_y6AELcIfQkGuELEQD6_OcAIdSBJw0CBSAALcn7Nzs4E0AJSG9QAiqvBhAMGqAGAADwQQAAAEEAAHBCAABYwgAAQEAAAIDBAADYQQAA6MEAANjBAACYwQAAYEEAAJhBAAC0wgAAWMIAADxCAADQwQAAQMEAAKjBAAAQQQAAgMIAAEDAAACAwAAAJMIAABBCAACeQgAARMIAAIjBAACSwgAAAMAAAARCAAAswgAANEIAACjCAACAQQAADMIAAIjBAAAUwgAA1kIAACBBAABAQQAATEIAACBBAACAQQAAIEEAAHhCAABwwgAAFMIAAIBAAACuQgAA4EAAAODAAADAwQAAkMEAAARCAADgQQAAUEEAAK7CAAAYQgAAaMIAAFRCAACGQgAAAAAAAODBAAAowgAAoMAAAODAAAAoQgAAgMEAAADCAAAcwgAAfEIAADhCAABAwgAA6EIAAADBAAAswgAAcEEAABDBAADwQQAAIEEAAEDBAACwwQAA6EEAALZCAAAAAAAAJEIAANDBAAAgQQAAAEIAAIDCAACgwQAACEIAALDBAABUwgAAbMIAAGzCAAAAwQAAFEIAAKxCAAAIwgAAJMIAAKZCAAAQQQAA1sIAAHzCAADwQQAAYMEAAHBBAABQwgAAIEIAAHBBAACAwQAAJMIAAFjCAACOQgAAuEEAABTCAAAkwgAAAEEAABDBAACQwQAAXMIAAMBAAADIwQAANEIAAHBCAAAQwQAAmsIAAFDBAAA8wgAA2MEAABTCAADgQQAAGEIAAKBBAADwwQAAgD8AAADBAAB4wgAARMIAAEBBAACAwQAA4EEAAKBAAACYQQAAMMEAAATCAAAwQQAAUEEAAFDBAADoQQAAHEIAAIBBAADIwQAA6EEAAABCAADQQQAAwMIAAFDBAACyQgAAgMAAAARCAADQQQAA6MEAALDBAADAwAAABEIAABxCAAAwQgAAQEEAAFTCAAA4QgAAcMEAAAAAAABwwQAAAMAAAADBAAAAwQAAHEIAABhCAABgwQAAYEEAAIBAAABAQAAAKEIAAJ7CAADGwgAA8EEAAHDBAAAAwQAAIMEAAGDBAACYQQAAAEAAAAhCAACgwAAAXMIAAOhBAABIwgAAGMIgADgTQAlIdVABKo8CEAAagAIAAPi9AABwPQAAij4AADC9AADYPQAA2D0AABC9AAAvvwAAfL4AAHA9AAA8PgAAQLwAALg9AAAkPgAADL4AABC9AADIPQAAoLwAALg9AACqPgAAfz8AAGy-AACoPQAAML0AAAS-AADYvQAAED0AALi9AAAUPgAATD4AABw-AACgvAAAVL4AAOC8AACYPQAAML0AAEA8AAAsvgAAZL4AAES-AACAuwAAED0AAOA8AAAMvgAAFL4AAJg9AADWPgAA2L0AAMi9AAD-vgAAcL0AABC9AAB0PgAA6D0AACS-AABAPAAADz8AAPi9AACIPQAAyD0AAEA8AAAwPQAAED0AANi9IAA4E0AJSHxQASqPAhABGoACAAAUvgAALD4AANi9AAAjvwAAEL0AAKC8AAAMPgAAyL0AACy-AAC4PQAAqL0AAIa-AABwvQAAJL4AAEC8AABwvQAAEL0AABk_AAC4vQAAgj4AAGQ-AAAwvQAA4DwAABS-AABQvQAAHL4AALi9AAAQPQAA4DwAAMg9AAAUPgAAED0AALi9AADYvQAAML0AAKi9AAAwPQAA2D0AAFy-AABAPAAAZD4AAIA7AAA0PgAAQLwAAIi9AAA8PgAAf78AABA9AABwPQAAqD0AAGQ-AABwvQAAUD0AALg9AAAkPgAAUD0AAOC8AAAkPgAAmL0AADA9AABwvQAAMD0AAJg9AABwvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=lbPRJCEt5CY","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9583343685546376155"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"2222160848500973224":{"videoId":"2222160848500973224","docid":"34-2-4-ZC43C652D07AEB794","description":"Join this channel to get access to perks: / @rgsclassesessential Mathematics I : • Playlist Electrical Engineering: • Basic Electrical Engineering Engineering Physics : • Engineering Physics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3666163/248a1d0f946caa7ffebb69c80dd7733c/564x318_1"},"target":"_self","position":"19","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2RIiCKGhgE0","linkTemplate":"/video/preview/2222160848500973224?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Engineering physics series started","related_orig_text":"Math Physics Engineering","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Math Physics Engineering\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2RIiCKGhgE0\",\"src\":\"serp\",\"rvb\":\"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_E0eCBCQBgAQrKosBEAEaeIEFEAQJ_gIA9QgA_QwC_gAP_QYC9wAAAOYO_fkH_QEA_fYHAwIAAAAFAAABBAAAAPkH-vP2_gEAFAP7BgQAAAAH-Qb59AAAAAYD9gH_AQAA-AH8AQP_AAANCQEFAAAAAP8R_gP__wAA_QwA-gAAAAAM-fcFAAAAACAALcaJ2Ds4E0AJSE5QAipzEAAaYEn1ADoKC-r7HEztMAHgOBn5MQkUDwb_-f7_FQ3mzPItBbUN6P84-_cMqwAAAAEctgvEAANuzMHsEvoi4dLQD-Qyf9P_4w_-ChTm7lDwJgFHEAwoZQCv_eH17eS4HT0MDSAALcVsJTs4E0AJSG9QAiqvBhAMGqAGAAC4QQAA-MEAAIBCAACowQAABMIAABjCAABsQgAAkMIAAGDBAACgwAAAmEEAANBBAABQQQAAoMAAALBBAACgQAAAZEIAAJDBAACQQQAATMIAAATCAACgwQAAUMIAAJpCAADgQAAAkMEAAHjCAADIwQAAQEAAAJpCAABgwQAAoEEAAGBBAAA4QgAAhsIAAIC_AACwwQAAmEEAAHBBAAAQQQAApMIAAMBAAACgwAAAiMEAAJBBAAAgQQAAsMEAAPDBAABUQgAAAMAAAJBBAADwwQAAkMEAAEBCAAAIQgAAWMIAAIrCAAAEQgAAQEEAADhCAADgQAAAwEEAAMzCAADAwQAAYMEAAADAAAAUQgAASMIAAFjCAADoQQAA-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-vgAAlr4AABw-AAAEPgAAfL4AAJg9AABEPgAAgDsAAOC8AABcPgAAEL0AAJ4-AADSPgAAfz8AACS-AAAsvgAAgLsAANK-AABAPAAAXD4AACy-AADgvAAA6D0AADw-AACYvQAAXL4AAFC9AADKPgAAPL4AAIA7AAA8vgAAQLwAALi9AACavgAA6L0AAFQ-AAAkvgAAED0AAFw-AACiPgAAoLwAAEC8AAAUvgAAQLwAAES-AABAvAAAgLsAANg9AADgPAAATz8AAIq-AACuPgAAiD0AAIA7AABwPQAAQLwAAFA9IAA4E0AJSHxQASqPAhABGoACAAA0vgAAiD0AABS-AAAVvwAABD4AAHA9AAA0PgAAbL4AAOi9AACCPgAAEL0AAPi9AAD4vQAARL4AAKg9AADIvQAAMD0AADE_AAAMvgAAtj4AAKA8AACgvAAAMD0AAIg9AACIvQAADL4AAEA8AACIPQAAgj4AADA9AAAUPgAAQLwAAIi9AACIvQAAyD0AAIg9AAAcPgAAND4AAFy-AABwPQAAij4AALg9AAAEPgAAEL0AAAS-AACKPgAAf78AAKC8AACAOwAA2D0AADA9AADYvQAAmj4AAHC9AADYPQAAED0AAOA8AACYPQAA2L0AAFC9AADIvQAAgj4AAKg9AADgPCAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=2RIiCKGhgE0","parent-reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":405,"cheight":720,"cratio":0.5625,"dups":["2222160848500973224"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false}},"dups":{"11020001939912108477":{"videoId":"11020001939912108477","title":"What is a Vector in \u0007[Physics\u0007], \u0007[Math\u0007] & \u0007[Engineering\u0007]?","cleanTitle":"What is a Vector in Physics, Math & Engineering?","host":{"title":"YouTube","href":"http://www.youtube.com/live/XQSt3WjNvWc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/XQSt3WjNvWc?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":"d3d3LnlvdXR1YmUuY29tO1VDWWdMODFsYzdET0xOaG5lbDFfSjZWZw==","name":"Math and Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Science","origUrl":"http://www.youtube.com/@MathAndScience","a11yText":"Math and Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2733,"text":"45:33","a11yText":"Süre 45 dakika 33 saniye","shortText":"45 dk."},"views":{"text":"26,1bin","a11yText":"26,1 bin izleme"},"date":"12 ara 2024","modifyTime":1733961600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/XQSt3WjNvWc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=XQSt3WjNvWc","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":2733},"parentClipId":"11020001939912108477","href":"/preview/11020001939912108477?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/11020001939912108477?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"8844616042987152473":{"videoId":"8844616042987152473","title":"Learn \u0007[Mathematics\u0007] for \u0007[Engineering\u0007] and \u0007[Physics\u0007]","cleanTitle":"Learn Mathematics for Engineering and Physics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=rwpsK6EGFz8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/rwpsK6EGFz8?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":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":972,"text":"16:12","a11yText":"Süre 16 dakika 12 saniye","shortText":"16 dk."},"views":{"text":"98bin","a11yText":"98 bin izleme"},"date":"24 haz 2022","modifyTime":1656101370000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/rwpsK6EGFz8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=rwpsK6EGFz8","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":972},"parentClipId":"8844616042987152473","href":"/preview/8844616042987152473?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/8844616042987152473?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4171968773068572612":{"videoId":"4171968773068572612","title":"\u0007[Math\u0007], \u0007[Physics\u0007], & \u0007[Engineering\u0007] - The Great Courses","cleanTitle":"Math, Physics, & Engineering - The Great Courses","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ulUhgZwOWPU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ulUhgZwOWPU?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":"d3d3LnlvdXR1YmUuY29tO1VDbHZlUVJuRU5LVTkzUU9jWXE0OV80UQ==","name":"Westwood Media Center Programming","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Westwood+Media+Center+Programming","origUrl":"http://www.youtube.com/@WestwoodMediaCenterProgramming","a11yText":"Westwood Media Center Programming. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":393,"text":"6:33","a11yText":"Süre 6 dakika 33 saniye","shortText":"6 dk."},"date":"15 ağu 2017","modifyTime":1502755200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ulUhgZwOWPU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ulUhgZwOWPU","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":393},"parentClipId":"4171968773068572612","href":"/preview/4171968773068572612?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/4171968773068572612?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13560346164371322503":{"videoId":"13560346164371322503","title":"Unit Vectors - Definition & Uses in \u0007[Physics\u0007], \u0007[Math\u0007], \u0007[Engineering\u0007]","cleanTitle":"Unit Vectors - Definition & Uses in Physics, Math, Engineering","host":{"title":"YouTube","href":"http://www.youtube.com/live/Jkj3j_er8Js","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Jkj3j_er8Js?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":"d3d3LnlvdXR1YmUuY29tO1VDWWdMODFsYzdET0xOaG5lbDFfSjZWZw==","name":"Math and Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Science","origUrl":"http://www.youtube.com/@MathAndScience","a11yText":"Math and Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2750,"text":"45:50","a11yText":"Süre 45 dakika 50 saniye","shortText":"45 dk."},"views":{"text":"19,7bin","a11yText":"19,7 bin izleme"},"date":"24 haz 2024","modifyTime":1719234717000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Jkj3j_er8Js?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Jkj3j_er8Js","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":2750},"parentClipId":"13560346164371322503","href":"/preview/13560346164371322503?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/13560346164371322503?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"1911876950337344949":{"videoId":"1911876950337344949","title":"\u0007[Math\u0007]. \u0007[physics\u0007]. \u0007[engineering\u0007]. fitness. every single day.","cleanTitle":"Math. physics. engineering. fitness. every single day.","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-9HIKooEWTA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-9HIKooEWTA?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":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":66,"text":"1:06","a11yText":"Süre 1 dakika 6 saniye","shortText":"1 dk."},"views":{"text":"18bin","a11yText":"18 bin izleme"},"date":"15 tem 2025","modifyTime":1752590069000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-9HIKooEWTA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-9HIKooEWTA","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":66},"parentClipId":"1911876950337344949","href":"/preview/1911876950337344949?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/1911876950337344949?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12962089952450319022":{"videoId":"12962089952450319022","title":"What is a Moment in \u0007[engineering\u0007], \u0007[physics\u0007] and \u0007[math\u0007] with an example problem","cleanTitle":"What is a Moment in engineering, physics and math with an example problem","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ho29u38Oc_4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ho29u38Oc_4?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":"d3d3LnlvdXR1YmUuY29tO1VDazZYbFJFQzN3MFZEWjlhcXVBQkhqZw==","name":"Student Engineering","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Student+Engineering","origUrl":"http://www.youtube.com/@studentengineering","a11yText":"Student Engineering. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":996,"text":"16:36","a11yText":"Süre 16 dakika 36 saniye","shortText":"16 dk."},"views":{"text":"1bin","a11yText":"1 bin izleme"},"date":"1 haz 2020","modifyTime":1590969600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ho29u38Oc_4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ho29u38Oc_4","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":996},"parentClipId":"12962089952450319022","href":"/preview/12962089952450319022?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/12962089952450319022?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10003617381162666753":{"videoId":"10003617381162666753","title":"Integration Of Vectors। \u0007[Mathematical\u0007] \u0007[Physics\u0007]। \u0007[Engineering\u0007]","cleanTitle":"Integration Of Vectors। Mathematical Physics। Engineering","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7zkns-Zn3Dw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7zkns-Zn3Dw?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":"d3d3LnlvdXR1YmUuY29tO1VDbzRkM3NpWnJrb1NUbDFOLWZlUVpqUQ==","name":"RQ Physics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=RQ+Physics","origUrl":"http://www.youtube.com/@rqphysics","a11yText":"RQ Physics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1754,"text":"29:14","a11yText":"Süre 29 dakika 14 saniye","shortText":"29 dk."},"date":"6 mayıs 2020","modifyTime":1588750550000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7zkns-Zn3Dw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7zkns-Zn3Dw","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":1754},"parentClipId":"10003617381162666753","href":"/preview/10003617381162666753?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/10003617381162666753?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"10269263258575513212":{"videoId":"10269263258575513212","title":"The Truth About \u0007[Math\u0007], \u0007[Physics\u0007], Computer Science, and \u0007[Engineering\u0007]","cleanTitle":"The Truth About Math, Physics, Computer Science, and Engineering","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=dyjOYiSXKmA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dyjOYiSXKmA?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":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1068,"text":"17:48","a11yText":"Süre 17 dakika 48 saniye","shortText":"17 dk."},"views":{"text":"14,5bin","a11yText":"14,5 bin izleme"},"date":"11 kas 2025","modifyTime":1762869330000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/dyjOYiSXKmA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dyjOYiSXKmA","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":1068},"parentClipId":"10269263258575513212","href":"/preview/10269263258575513212?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/10269263258575513212?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"13246916414335661450":{"videoId":"13246916414335661450","title":"Great Book for \u0007[Math\u0007], \u0007[Engineering\u0007], and \u0007[Physics\u0007] Students","cleanTitle":"Great Book for Math, Engineering, and Physics Students","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=T13KTqDS530","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/T13KTqDS530?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":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":518,"text":"8:38","a11yText":"Süre 8 dakika 38 saniye","shortText":"8 dk."},"views":{"text":"26,1bin","a11yText":"26,1 bin izleme"},"date":"12 mayıs 2020","modifyTime":1589294376000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/T13KTqDS530?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=T13KTqDS530","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":518},"parentClipId":"13246916414335661450","href":"/preview/13246916414335661450?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/13246916414335661450?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"6118653604325248983":{"videoId":"6118653604325248983","title":"\u0007[Physics\u0007]/\u0007[engineering\u0007]/\u0007[math\u0007] sketch graphics [free stock] [no copyright]","cleanTitle":"Physics/engineering/math sketch graphics [free stock] [no copyright]","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=JiJZDlpJXvc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/JiJZDlpJXvc?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":"d3d3LnlvdXR1YmUuY29tO1VDc0tTQjBBcE9XZGVYMldrd0YyNE15QQ==","name":"Creative Graphics","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Creative+Graphics","origUrl":"http://www.youtube.com/@CreativeGraphics_YT","a11yText":"Creative Graphics. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":14,"text":"00:14","a11yText":"Süre 14 saniye","shortText":""},"views":{"text":"1,2bin","a11yText":"1,2 bin izleme"},"date":"20 mayıs 2018","modifyTime":1526774400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/JiJZDlpJXvc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=JiJZDlpJXvc","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":14},"parentClipId":"6118653604325248983","href":"/preview/6118653604325248983?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/6118653604325248983?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"64634735327992521":{"videoId":"64634735327992521","title":"\u0007[Engineering\u0007] \u0007[Physics\u0007] II EMT Maxwell equation II 2026 II @japrgsclasses @Ishqhaiphysics","cleanTitle":"Engineering Physics II EMT Maxwell equation II 2026 II @japrgsclasses @Ishqhaiphysics","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=UbqWwloH-14","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/UbqWwloH-14?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":"d3d3LnlvdXR1YmUuY29tO1VDVU9tS2VMSjdiRF9VRHZIR2xzRUVRdw==","name":"RGSClassesEngineer","isVerified":false,"subscribersCount":0,"url":"/video/search?text=RGSClassesEngineer","origUrl":"http://www.youtube.com/@rgsclassesphysics","a11yText":"RGSClassesEngineer. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1341,"text":"22:21","a11yText":"Süre 22 dakika 21 saniye","shortText":"22 dk."},"views":{"text":"34,7bin","a11yText":"34,7 bin izleme"},"date":"25 haz 2021","modifyTime":1624579200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/UbqWwloH-14?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=UbqWwloH-14","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":1341},"parentClipId":"64634735327992521","href":"/preview/64634735327992521?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/64634735327992521?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2074798988504994794":{"videoId":"2074798988504994794","title":"SciPy Tutorial: For \u0007[Physicists\u0007], \u0007[Engineers\u0007], and Mathematicians","cleanTitle":"SciPy Tutorial: For Physicists, Engineers, and Mathematicians","host":{"title":"YouTube","href":"http://www.youtube.com/live/jmX4FOUEfgU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/jmX4FOUEfgU?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":"d3d3LnlvdXR1YmUuY29tO1VDS2FZeGtIcm1zUWVQWkZwekY5YjdzUQ==","name":"Mr. P Solver","isVerified":true,"subscribersCount":0,"url":"/video/search?text=Mr.+P+Solver","origUrl":"http://www.youtube.com/@MrPSolver","a11yText":"Mr. P Solver. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":5607,"text":"1:33:27","a11yText":"Süre 1 saat 33 dakika 27 saniye","shortText":"1 sa. 33 dk."},"views":{"text":"191,6bin","a11yText":"191,6 bin izleme"},"date":"1 haz 2021","modifyTime":1622505600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/jmX4FOUEfgU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=jmX4FOUEfgU","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":5607},"parentClipId":"2074798988504994794","href":"/preview/2074798988504994794?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/2074798988504994794?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"12245551053039735799":{"videoId":"12245551053039735799","title":"Top 24 \u0007[math\u0007], \u0007[physics\u0007], \u0007[engineers\u0007] greeks","cleanTitle":"Top 24 math, physics, engineers greeks","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=-W3aVf5pF-8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/-W3aVf5pF-8?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":"d3d3LnlvdXR1YmUuY29tO1VDOV9XdTQ0ZmUtd2FiaVFxUFdTYV9rdw==","name":"HERACLIUS GEOHISTORY","isVerified":false,"subscribersCount":0,"url":"/video/search?text=HERACLIUS++GEOHISTORY","origUrl":"http://www.youtube.com/@herculianthegreat","a11yText":"HERACLIUS GEOHISTORY. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":63,"text":"1:03","a11yText":"Süre 1 dakika 3 saniye","shortText":"1 dk."},"date":"28 eyl 2022","modifyTime":1664323200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/-W3aVf5pF-8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=-W3aVf5pF-8","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":63},"parentClipId":"12245551053039735799","href":"/preview/12245551053039735799?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/12245551053039735799?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4283986452444637722":{"videoId":"4283986452444637722","title":"Archimedes: Genius of \u0007[Math\u0007], \u0007[Physics\u0007], and \u0007[Engineering\u0007]!","cleanTitle":"Archimedes: Genius of Math, Physics, and Engineering!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=7dvl6qX5stg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/7dvl6qX5stg?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":"d3d3LnlvdXR1YmUuY29tO1VDcHdkR1hQTzN3ODRMODJDTF9ybC1xUQ==","name":"ICOMATHS","isVerified":false,"subscribersCount":0,"url":"/video/search?text=ICOMATHS","origUrl":"http://www.youtube.com/@ICOMATHS","a11yText":"ICOMATHS. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":50,"text":"00:50","a11yText":"Süre 50 saniye","shortText":""},"date":"27 mayıs 2025","modifyTime":1748304000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/7dvl6qX5stg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=7dvl6qX5stg","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":50},"parentClipId":"4283986452444637722","href":"/preview/4283986452444637722?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/4283986452444637722?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"14773058561918606872":{"videoId":"14773058561918606872","title":"How to Get Good at \u0007[Math\u0007], \u0007[Physics\u0007], Computer Science, \u0007[Engineering\u0007], and Programming","cleanTitle":"How to Get Good at Math, Physics, Computer Science, Engineering, and Programming","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=fLypZNaZ8MU","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fLypZNaZ8MU?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":"d3d3LnlvdXR1YmUuY29tO1VDcjdsbXpJazYzUFpuQnczYmV6bC1NZw==","name":"The Math Sorcerer","isVerified":true,"subscribersCount":0,"url":"/video/search?text=The+Math+Sorcerer","origUrl":"http://www.youtube.com/@TheMathSorcerer","a11yText":"The Math Sorcerer. Kanal onaylı"},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":607,"text":"10:07","a11yText":"Süre 10 dakika 7 saniye","shortText":"10 dk."},"views":{"text":"117,1bin","a11yText":"117,1 bin izleme"},"date":"27 eki 2025","modifyTime":1761577380000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/fLypZNaZ8MU?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fLypZNaZ8MU","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":607},"parentClipId":"14773058561918606872","href":"/preview/14773058561918606872?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/14773058561918606872?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"4593558992774960233":{"videoId":"4593558992774960233","title":"Easiest Way to Add Vectors for \u0007[Physics\u0007] & \u0007[Engineering\u0007]!","cleanTitle":"Easiest Way to Add Vectors for Physics & Engineering!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=avFWLBRcpI4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/avFWLBRcpI4?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":"d3d3LnlvdXR1YmUuY29tO1VDWWdMODFsYzdET0xOaG5lbDFfSjZWZw==","name":"Math and Science","isVerified":false,"subscribersCount":0,"url":"/video/search?text=Math+and+Science","origUrl":"http://www.youtube.com/@MathAndScience","a11yText":"Math and Science. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2281,"text":"38:01","a11yText":"Süre 38 dakika 1 saniye","shortText":"38 dk."},"views":{"text":"8,5bin","a11yText":"8,5 bin izleme"},"date":"17 eki 2024","modifyTime":1729123200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/avFWLBRcpI4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=avFWLBRcpI4","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":2281},"parentClipId":"4593558992774960233","href":"/preview/4593558992774960233?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/4593558992774960233?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"9583343685546376155":{"videoId":"9583343685546376155","title":"\u0007[engineering\u0007] \u0007[physics\u0007] first semester electromagnetism final exam_AKTU, PTU 2023 revision hindi","cleanTitle":"engineering physics first semester electromagnetism final exam_AKTU, PTU 2023 revision hindi","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=lbPRJCEt5CY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/lbPRJCEt5CY?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":"d3d3LnlvdXR1YmUuY29tO1VDVU9tS2VMSjdiRF9VRHZIR2xzRUVRdw==","name":"DrRGS MathsToMarket","isVerified":false,"subscribersCount":0,"url":"/video/search?text=DrRGS+MathsToMarket","origUrl":"http://www.youtube.com/@RGSMathsToMarket","a11yText":"DrRGS MathsToMarket. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1235,"text":"20:35","a11yText":"Süre 20 dakika 35 saniye","shortText":"20 dk."},"views":{"text":"65,7bin","a11yText":"65,7 bin izleme"},"date":"5 mar 2023","modifyTime":1677974400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/lbPRJCEt5CY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=lbPRJCEt5CY","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":1235},"parentClipId":"9583343685546376155","href":"/preview/9583343685546376155?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/9583343685546376155?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":false},"2222160848500973224":{"videoId":"2222160848500973224","title":"\u0007[Engineering\u0007] \u0007[physics\u0007] series started","cleanTitle":"Engineering physics series started","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/2RIiCKGhgE0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2RIiCKGhgE0?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":"d3d3LnlvdXR1YmUuY29tO2h0dHA6Ly93d3cueW91dHViZS5jb20vQFJHU01hdGhzVG9NYXJrZXQ=","name":"DrRGS MathsToMarket","isVerified":false,"subscribersCount":0,"url":"/video/search?text=DrRGS+MathsToMarket","origUrl":"http://www.youtube.com/@RGSMathsToMarket","a11yText":"DrRGS MathsToMarket. "},"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."},"views":{"text":"1,3bin","a11yText":"1,3 bin izleme"},"date":"12 ağu 2025","modifyTime":1754956800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2RIiCKGhgE0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2RIiCKGhgE0","reqid":"1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL","duration":71},"parentClipId":"2222160848500973224","href":"/preview/2222160848500973224?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","rawHref":"/video/preview/2222160848500973224?parent-reqid=1774567769247404-5909954343285107175-balancer-l7leveler-kubr-yp-sas-140-BAL&text=Math+Physics+Engineering","isEmbedOnly":false,"shouldPlayInstreamPreroll":false,"commentsDisabled":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":"9099543432851071757140","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":"Math Physics Engineering","queryUriEscaped":"Math%20Physics%20Engineering","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"}}}]]>