{"pages":{"search":{"query":"JonnyMath","originalQuery":"JonnyMath","serpid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","parentReqid":"","serpItems":[{"id":"15579373268626704120-0-0","type":"videoSnippet","props":{"videoId":"15579373268626704120"},"curPage":0},{"id":"7265179030197439060-0-1","type":"videoSnippet","props":{"videoId":"7265179030197439060"},"curPage":0},{"id":"17745934939424513010-0-2","type":"videoSnippet","props":{"videoId":"17745934939424513010"},"curPage":0},{"id":"13154334369488398059-0-3","type":"videoSnippet","props":{"videoId":"13154334369488398059"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEpvbm55TWF0aAo=","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","ui":"desktop","yuid":"1220960001773377299"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"15184473857985168725-0-5","type":"videoSnippet","props":{"videoId":"15184473857985168725"},"curPage":0},{"id":"16575189888419447164-0-6","type":"videoSnippet","props":{"videoId":"16575189888419447164"},"curPage":0},{"id":"9556648390115713841-0-7","type":"videoSnippet","props":{"videoId":"9556648390115713841"},"curPage":0},{"id":"11980151553554382392-0-8","type":"videoSnippet","props":{"videoId":"11980151553554382392"},"curPage":0},{"id":"10157047143458296475-0-9","type":"videoSnippet","props":{"videoId":"10157047143458296475"},"curPage":0},{"id":"3422773235670504160-0-10","type":"videoSnippet","props":{"videoId":"3422773235670504160"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEpvbm55TWF0aAo=","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","ui":"desktop","yuid":"1220960001773377299"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"3593639727493888081-0-12","type":"videoSnippet","props":{"videoId":"3593639727493888081"},"curPage":0},{"id":"15843553472473710229-0-13","type":"videoSnippet","props":{"videoId":"15843553472473710229"},"curPage":0},{"id":"4170773144034970027-0-14","type":"videoSnippet","props":{"videoId":"4170773144034970027"},"curPage":0},{"id":"14185545799850333918-0-15","type":"videoSnippet","props":{"videoId":"14185545799850333918"},"curPage":0},{"id":"12981056171251245658-0-16","type":"videoSnippet","props":{"videoId":"12981056171251245658"},"curPage":0},{"id":"454546382532184583-0-17","type":"videoSnippet","props":{"videoId":"454546382532184583"},"curPage":0},{"id":"15903306474987135763-0-18","type":"videoSnippet","props":{"videoId":"15903306474987135763"},"curPage":0},{"id":"18157450159127165407-0-19","type":"videoSnippet","props":{"videoId":"18157450159127165407"},"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":"dEpvbm55TWF0aAo=","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","ui":"desktop","yuid":"1220960001773377299"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DJonnyMath","pages":[{"reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","start":0,"end":20,"pageNumber":0,"isCounterSent":false}]},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false,"tags":[]}},"internal":{"nonce":"8709900816788762997200","expFlags":{"video_settings_toolbar_redesign":1,"velocity_delay_drawer":1,"video_feedback_in_d2d":1,"video_search_toggle_with_text":1,"video_viewer_show_placeholder":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","distr_splashscreen_on":1,"video_viewer_check_sandbox_origin":1,"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_adv_config_desktop":{"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"video_search_page_no_islands":1,"video_vh_player_js":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_viewer_related_fail_error_screen":1,"velocity_delay_metrika":1,"video_viewer_channel_link_mode":2,"video_partner_label":1,"int_tr":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","tabs_order_version":"search,images,video,newstr,maps,translate,tr_ecom","spok":"id","video_suggest_use_serp":1,"video_search_grid_direct_repeat":6,"video_direct_config_desktop_search":"search-grid-row:R-I-48058-718:R-I-474674-109,search-grid-head:R-I-2120168-7","init_meta":{"enable-yabs-distr":1,"ask-user-purchase-history":1,"use-src-videoquickp":1,"enable-begemot":1,"enable_masthead":1,"use-src-videop":1,"use-src-videoquickp_misspell":1,"enable_blackbox_multisession":1,"begemot-enable-cancelled-misspell-rtmr":1,"enable_video_iron_fetcher":1,"use-related-only":1,"ask-yandex-io-devices":1,"use-images-device-setup":1,"use-src-imagesp":1,"images-apphost-collections-front":1,"enable_aab_apphost":1,"graph-is-video-search":1,"bg-bert-video":1,"use-src-imagesp_misspell":1,"use-src-imagesultrap":1,"use-video-apphost-pre-templates":1,"use-src-videop_misspell":1,"use-video-apphost-post-templates":1,"use-src-imagesquickp":1,"enable_video_carousels":"1","restrict-max-docs":"1000","use-images-region-setup":1,"use-post-auto2":1,"use-images-settings-setup":1,"use-src-ugc_favorites":1,"video_vitrina_disable":"0","use-images-user-setup":1,"use-video-pre-search-data":1,"begemot-no-suggest-history":1},"video_depot_viewer_masthead_ssr_only":1,"video_blender":1,"video_search_grid_enable":0,"video_viewer_desktop_fix_d2d_scroll":1,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_adv_new_show_rules_docs_count":1,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_adv_grid_inplace":1,"distr_popup_on":1,"dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_depot_viewer_related_adv_margin":400,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"int_online_summarization_video_snippet":1,"video_morda_header_nav":1,"video_nohost_full_filter":0,"distr_pcode_off":1,"video_baobab_blockstat":1,"video_thumb_poster_full":1,"video_scrollpages":2,"video_serp_desktop_block_design":1,"video_nohost_youtube_filter":0,"video_viewer_host_link_mode":1},"slots":["1506054,0,24;1503642,0,88;1469657,0,85;1457620,0,70;1480630,0,84;1504421,0,68;1488899,0,55;1510154,0,30;1493653,0,38;187287,0,17;127805,0,14;1500923,0,53;1497993,0,77;1501448,0,13;1507235,0,55;1504560,0,0;1373787,0,84;1487676,0,64;1352939,0,93;1490832,0,11;1503898,0,78;1146115,0,94;1499627,0,2;260564,0,14;1438212,0,95;1508041,0,90;1510435,0,82;259953,0,81;124070,0,60;1462741,0,70;850909,0,43;151171,0,78;126330,0,49;1281084,0,48;287509,0,70;1447467,0,78;790823,0,12;1482979,0,81;1478786,0,29;912288,0,8"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Ftwitter.yandex.com.tr%2Fvideo%2Fsearch%3Ftext%3DJonnyMath","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://twitter.yandex.com.tr/video/search?text=JonnyMath","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":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","backUrl":"//ya.ru","url":"https://twitter.yandex.com.tr/video/search?text=JonnyMath","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"JonnyMath: Yandex'te 122 video bulundu","description":"Результаты поиска по запросу \"JonnyMath\" в Яндексе","keywords":"яндекс видео, поиск видео, смотреть онлайн, сериалы, фильмы, клипы","shareTitle":"JonnyMath — Яндекс — поиск по видео"},"isEmbedded":false,"isPumpkin":false,"sessionCsrfToken":"ydb2d0f0b4317fa8f476442383aff14d2","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1506054,1503642,1469657,1457620,1480630,1504421,1488899,1510154,1493653,187287,127805,1500923,1497993,1501448,1507235,1504560,1373787,1487676,1352939,1490832,1503898,1146115,1499627,260564,1438212,1508041,1510435,259953,124070,1462741,850909,151171,126330,1281084,287509,1447467,790823,1482979,1478786,912288","queryText":"JonnyMath","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1220960001773377299","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,331010,338398,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1060131,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1226860,1246754,1276447,1289213,1316370,1313283,1321224,1300570,1320679,1352408,1342688,1344637,1341968,1345362,1343279,1367583,1336673,1348424,1382036,1391511,1384451,1402882,1407422,1417605,1424780,1429092,1438908,1444206,1449283,1452713,1457995,1459585,1461130,1492788,1495633,1474221,1509771,1299604","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1773377341","tz":"America/Louisville","to_iso":"2026-03-13T00:49:01-0400","__is_plain":1},"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-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":"1506054,1503642,1469657,1457620,1480630,1504421,1488899,1510154,1493653,187287,127805,1500923,1497993,1501448,1507235,1504560,1373787,1487676,1352939,1490832,1503898,1146115,1499627,260564,1438212,1508041,1510435,259953,124070,1462741,850909,151171,126330,1281084,287509,1447467,790823,1482979,1478786,912288","queryText":"JonnyMath","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","userRegionName":"","userRegionId":"id() {\n return this._region.id;\n }","yandexuid":"1220960001773377299","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":"8709900816788762997200","disableDoc2DocHostLink":false,"shouldHideChannelLink":false,"disableChannelLink":false,"userConnectionRtt":168,"animated":false,"isDoc2DocScrollFix":true,"smartDesktopLayout":true,"enableVIImprovements":false,"enableLazyPoster":false,"isAdvDisabled":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":true,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"rknWarnHosts":[""],"relatedAdvRootMargin":400,"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"wildcard":false,"isAdvUnderPlayerRedesign":false,"disableEarlyEventsUnsubscribe":false,"showDebugRelatedURL":false,"shouldUseBetaErrorLogging":false,"shouldShowMetaUnderPlayer":false,"isVideoViewerMetaTitleHidden":false,"isStickyPlayerDisabled":false,"headerNoFavicon":false,"headerBranded":false,"shouldCensorSensitiveContent":false,"shouldCensorShockContent":false,"isAdvUnderPlayerTransparent":false,"isDoc2DocGridLayoutEnabled":false,"detailsRedesignEnabled":false,"detailsRedesignV2Enabled":false,"detailsRedesignV3Enabled":false,"isD2DEmptyLoadFixDisabled":false,"isRoundedPlayerEnabled":false,"isSettingsToolbarRedesign":true,"isDoc2DocEmptyRetryEnabled":false,"isAdvUnderPlayerWithBackdrop":false,"isTouchAdvWithBackdrop":false,"isDoc2DocErrorScreenEnabled":true,"isDoc2DocFeedbackKebabEnabled":true,"isCommentsEnabled":false,"isCommentsCountOnSnippetsEnabled":false,"isCommentsSmartNonStopEnabled":false,"isVideoMainButtonInitiallyCollapsed":false,"isAdvUnderPlayerWithInnerPadding":false,"isKebabAdvancedActionsEnabled":false,"isKebabOnTouchVideoSearchEnabled":false,"isAdvVideoListLikeUnderPlayer":false,"isSummaryInMetaButtons":false,"isSummaryInMetaButtonsDesktop":false,"isMetaCommentsButtonEnabled":false,"preventAdvHideOnEmpty":false,"isPlayerChangeCounterEnabled":false,"isSmallTitle":false,"shouldRestoreMuteState":false,"isAdvUnderPlayerWithSlider":false,"isAdvUnderPlayerCommentsAligned":false},"shouldShowAdvId":false,"isAdultQuery":false,"isSensitivePage":false,"showSensitive":false,"showShock":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"1220960001773377299","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases-frontend-video-v1.1784.0__b2db13dd1a8b1768d5e96f8dfed4c6402c22c07d","isGridSupported":false,"advConfig":{"under-player":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"under-player-lite":{"regular":{"default":"R-I-48058-728"},"adult":{"default":"R-I-474674-103"}},"under-player-old":{"regular":{"default":"R-I-48058-725","mail":"R-A-13411721-6"},"adult":{"default":"R-I-474674-114","mail":"R-A-13426421-6"}},"video-list":{"regular":{"default":"R-I-48058-708","mail":"R-A-13411721-2"},"adult":{"default":"R-I-474674-101","mail":"R-A-13426421-2"}},"search-list":{"adult":{"default":"R-I-474674-135","mail":"R-A-13426421-23"},"regular":{"default":"R-I-48058-751","mail":"R-A-13411721-23"}},"search-grid-row":{"regular":{"default":"R-I-48058-718","mail":"R-A-13411721-4"},"adult":{"default":"R-I-474674-109","mail":"R-A-13426421-4"}},"search-grid-head":{"regular":{"default":"R-I-2120168-7"}},"search-list-right":{"regular":{"default":"R-I-8843654-1"}},"before-player-old":{"regular":{"default":"R-I-2120168-1"}},"before-player":{"regular":{"default":"R-I-2120168-1"}},"search-grid-inplace":{"adult":{"default":"R-I-474674-126","mail":"R-A-13426421-16"},"regular":{"default":"R-I-48058-742","mail":"R-A-13411721-16"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"twitter.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","request_entry_completed":"2021","snippet":"254","icon":"1167","abuse":"1436","submit":"297","extralinks":"3557","feedback":"296","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"15579373268626704120":{"videoId":"15579373268626704120","docid":"34-6-12-Z9573DA27A6242AB3","description":"#calculus #maths #math #expressions #mathforfun Let's simplify this Radical Expression together!!! I'm JonnyMath and welcome to my youtube channel. If you enjoyed my video please subscribe to my...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2885446/4ad7f041229848ff4feb565e53b71a98/564x318_1"},"target":"_self","position":"0","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DcY7qoVhVcIk","linkTemplate":"/video/preview/15579373268626704120?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Simplifying a nice Radical Expression!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=cY7qoVhVcIk\",\"src\":\"serp\",\"rvb\":\"ErADChQxNTU3OTM3MzI2ODYyNjcwNDEyMAoTNzI2NTE3OTAzMDE5NzQzOTA2MAoUMTc3NDU5MzQ5Mzk0MjQ1MTMwMTAKFDEzMTU0MzM0MzY5NDg4Mzk4MDU5ChQxNTE4NDQ3Mzg1Nzk4NTE2ODcyNQoUMTY1NzUxODk4ODg0MTk0NDcxNjQKEzk1NTY2NDgzOTAxMTU3MTM4NDEKFDExOTgwMTUxNTUzNTU0MzgyMzkyChQxMDE1NzA0NzE0MzQ1ODI5NjQ3NQoTMzQyMjc3MzIzNTY3MDUwNDE2MAoTMzU5MzYzOTcyNzQ5Mzg4ODA4MQoUMTU4NDM1NTM0NzI0NzM3MTAyMjkKEzQxNzA3NzMxNDQwMzQ5NzAwMjcKFDE0MTg1NTQ1Nzk5ODUwMzMzOTE4ChQxMjk4MTA1NjE3MTI1MTI0NTY1OAoSNDU0NTQ2MzgyNTMyMTg0NTgzChQxNTkwMzMwNjQ3NDk4NzEzNTc2MwoUMTgxNTc0NTAxNTkxMjcxNjU0MDcKFDE2NDgyMzM1NjM3OTA1ODUyNTM1ChM4NzY1NTU2MzEwNjY5MTI5MDIwGhYKFDE1NTc5MzczMjY4NjI2NzA0MTIwWhQxNTU3OTM3MzI2ODYyNjcwNDEyMGquDRIBMBgAIkQaMQAKKmhoZnlrYnJscXpndnBsb2NoaFVDakt6cW8wZ2V4enJrZXMzMFk2MFdwZxICABIqD8IPDxoPPxNFggQkAYAEKyqLARABGniB-AwE_wL-AAYFEAX5CfwCFwYGAvUCAgDg-QT2B_sCAPcJ-wH_AAAA9RIH8gAAAAD28v0K9_8BAAwLDQYFAAAAG_b0Cf0AAAAJCwf5Ev4BAfHyAQH1AgABGfn-DQAAAAAJAQz0__8AAAobAQ0AAAAADPD59AAAAAAgAC0wmMo7OBNACUhOUAIqcxAAGmD4CQAIJwgOAR417-v79BL0BR7s6NcQAAPoAPsoC_EGBuzO8v__EM4EBMcAAAAJBvsdCQAISAYEyScNvRLO7ukRHH8KG__2BQj6xQ0FDB3d7gQyEyYAzQIHA_Xi4CD8AyIgAC1UA2k7OBNACUhvUAIqrwYQDBqgBgAAAAAAAGTCAAAAQgAAosIAAEDAAAAwwQAApkIAABBBAACYwQAAgMAAABBCAACQwQAAUMEAAMhBAACAQAAAAEEAAMBBAADAQAAAIEEAAEDAAAAAQgAARMIAACzCAACoQQAAoEAAAEBCAABQQQAA4MAAAIA_AAAAwQAAlMIAAADBAABkwgAAHEIAALjBAACQQQAAyEEAAKZCAADIwQAAuEEAADhCAAAcQgAAxEIAAIBBAADAQQAAqsIAAFxCAACwQQAAFEIAAKDAAACAvwAA6MEAAKDBAADoQQAAJEIAACxCAAB0wgAAYEEAAARCAADMQgAAikIAAETCAADowQAAdMIAAJjBAAB0wgAA6MEAAKDBAAD4QQAAFMIAAARCAABsQgAARMIAABBCAADgwAAAjMIAAEzCAAAAQAAAAMAAADBCAACwwQAAfEIAACBBAACgQAAAwMAAABxCAACgQQAASEIAADxCAADAwQAAVMIAAExCAADQwQAAoMEAAGDBAAAMwgAA-MEAAABCAAB8QgAArkIAAMDBAAAAAAAAuMEAADDBAAAswgAAYEEAAKhBAACoQQAAcEEAAGRCAABAQgAAIEEAAAzCAAAgQQAAUMEAAExCAAAEQgAAtsIAAMBAAACowQAAwMEAAJzCAADwwQAAFMIAANBBAABwwgAAnMIAADDBAACOwgAAgL8AADTCAACAQQAAQEAAAIhCAAC-wgAA-EEAAMDBAACYQQAAiMEAAATCAAA0QgAA4EEAAEBAAAAUwgAAcEIAADBBAABIwgAAwEEAAODAAABAwQAAgMEAAAAAAAAgQQAAgD8AAKhBAAAMwgAAPMIAALjCAACQwgAAeEIAAJDBAAAQQQAAEEIAAHTCAAAAQgAAgEEAAIC_AADoQQAACMIAAABBAADgwQAAgEEAAFDBAAD4wQAAVMIAAMBAAACwwgAAcMIAAHRCAABAQQAAfMIAALBBAAAwwQAA8EEAAERCAABswgAAAAAAAADCAADQwQAAoEEAAEBBAACgwQAAJEIAABBBAAAgQQAA0EEAAAzCAAAsQgAA0MEAAADAIAA4E0AJSHVQASqPAhAAGoACAAC4vQAA-D0AAHA9AABAPAAAyL0AAJY-AAA0PgAA7r4AALg9AACYPQAAij4AAAw-AAC4PQAAqj4AANi9AAA0PgAA-D0AAMg9AACGPgAA2j4AAH8_AADYvQAAND4AAPg9AADyvgAAcD0AAOA8AAD4vQAAQDwAAKY-AAD4PQAAUL0AABC9AAAMPgAAlj4AACQ-AACovQAAfL4AAM6-AAA8vgAAVL4AANg9AACCPgAA4LwAADy-AAAwvQAALL4AAEC8AAAQPQAAgLsAANg9AACOPgAAqD0AAGw-AAD4vQAAQDwAADE_AABAPAAAij4AAFQ-AADovQAAQLwAAAw-AAAsviAAOBNACUh8UAEqjwIQARqAAgAAyL0AAIg9AAC4vQAAK78AAHC9AACoPQAAPD4AADQ-AACIvQAAoLwAAIA7AAD4vQAAqL0AAJq-AACIvQAAoLwAACy-AAAvPwAAHL4AAJY-AAAwPQAAuL0AAFQ-AACKvgAA6L0AAMi9AAA8vgAAHD4AAEA8AADYvQAAHD4AADA9AACovQAAHL4AABw-AAA8vgAAND4AAJI-AABMvgAAhj4AAPo-AACmvgAAEL0AAOC8AAA0vgAA2D0AAH-_AABcvgAAJL4AAKY-AAAMPgAAND4AAJo-AABAvAAAoj4AAOC8AAAMvgAAmD0AAJi9AAAsvgAAiD0AAJo-AACAOwAAUL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=cY7qoVhVcIk","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15579373268626704120"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"7265179030197439060":{"videoId":"7265179030197439060","docid":"34-6-16-ZCF33FE327B58448C","description":"#math #trigonometry #geometry #maths #mathematics #mathforfun Hello guys today we are going to rotate a circle x^2+y^2=r^2 around it's origin. What is going to happen? We are going to find it...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4465713/032b37cc87372bbcb709c9f1df811528/564x318_1"},"target":"_self","position":"1","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DZsbQ2IE2yTQ","linkTemplate":"/video/preview/7265179030197439060?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"What happens when you Rotate a Circle???","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ZsbQ2IE2yTQ\",\"src\":\"serp\",\"rvb\":\"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-wUA-wQXBvwH_QLxA_wI-v_-AOz4_PQC_wEA_Q4G_AoBAAD6CvsDAgAAAO4I9QAAAQAADA_vAAMAAAAH8QEEAQAAAA0G__r-AQAA_PgC_wL_AAAG8_v5_wAAAPgJAAj8AAAA_wgDCwAAAAAO9wb8AAEAACAALWA94Ts4E0AJSE5QAipzEAAaYAARAD0uBwXECg_W5-v-Aw0PC_cH5d__3g0A_REK7uQWu9YSLv8y0xr1uAAAACXs4hgdAN5kHcXlNwrf7rHZzvQifxz0CgcFI_Hc0SIRK-wx2-cyQADGEcwB5QLzO_7UHiAALePCNzs4E0AJSG9QAiqvBhAMGqAGAAA0QgAAiMEAAHBCAAA8wgAA4EAAAIBAAACaQgAAyMEAAODBAACYQQAAgMEAADRCAADwwQAA4EAAAChCAADAQQAAAMAAAMDAAACAQAAA6MEAACxCAACQwQAA-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_AADgwQAAgEAAAPjBAACgwAAAoMEAAEBAAACIQgAAYEEAALjBAACAQQAAgMEAAKBBAACAQAAA8MEgADgTQAlIdVABKo8CEAAagAIAAIg9AABAPAAAqL0AAOg9AACoPQAAyj4AALi9AAAxvwAAjr4AAIi9AADgPAAAML0AACQ-AACKPgAAEL0AAKA8AADOPgAABD4AABC9AADaPgAAfz8AAFS-AACaPgAAmD0AALq-AAAsvgAAuD0AAIa-AABMPgAAqD0AAII-AACAuwAAJL4AAMg9AAA0PgAABD4AAAy-AAAcvgAApr4AANq-AAAkvgAAJL4AAKo-AADoPQAAiL0AAOC8AACgvAAAcL0AABw-AAB0vgAAML0AAKg9AADovQAAqj4AAFy-AABAPAAASz8AAJY-AAD4PQAA2D0AACy-AACoPQAAJD4AAGy-IAA4E0AJSHxQASqPAhABGoACAAAQPQAA6L0AAFC9AAAxvwAALL4AAEA8AAAMPgAAyD0AAFC9AACOPgAAQLwAAPi9AAAQPQAATL4AAEA8AACYvQAAcD0AADE_AAAwPQAAuj4AAJi9AACgPAAAEL0AAIg9AABQvQAAED0AADC9AACgvAAAgDsAADA9AAAwPQAA4LwAAEQ-AACAOwAALD4AALi9AABMPgAAND4AAHS-AABsPgAAbD4AAOg9AAAQPQAAcL0AAMi9AABwvQAAf78AABw-AAAcvgAABL4AAKC8AACgPAAA0j4AABA9AABwPQAAED0AAIC7AACAuwAADL4AAAS-AAC4PQAAFD4AACy-AADIPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=ZsbQ2IE2yTQ","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["7265179030197439060"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"17745934939424513010":{"videoId":"17745934939424513010","docid":"34-1-0-ZB230245265BEFF92","description":"Like d/dx as an operator (or functional) that acts on some function or as a simple notation that just means the derivative with respect to the variable x!!! #SOMEpi #calculus #math...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3362366/396297c6d86f631f2cba06d6cb4da1f2/564x318_1"},"target":"_self","position":"2","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DASrsAdKn2z8","linkTemplate":"/video/preview/17745934939424513010?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"You CAN multiply by dx! #SOMEpi","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ASrsAdKn2z8\",\"src\":\"serp\",\"rvb\":\"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_g3-AgD39Q8H-wb-AgH89vz4_f0A7gT8-AUAAADt_fwDBP8AAAUOA_cJAAAA8vj2_PoAAAASC_X3AwAAAAb6_f_6AAAADwD7Bv4BAAD4AfwBA_8AABb7_P4AAAAA-Q4E8QAAAAD9BP79AQAAAPvs_v8AAAAAIAAtjY_aOzgTQAlITlACKnMQABpgCxgAGzggFxANAeDoCwUtCzTy--_xBgAN7wATHfHaHfXMwAwK_xb5_vfFAAAA_usKABcA1VIM8f4KB_39tM4FGkV_ECT3HP0j8fvfCAcPHgfsDysGAO8r5_rl4uRUGwUNIAAtLzRXOzgTQAlIb1ACKq8GEAwaoAYAAADAAACAwgAAbEIAABDCAAAwQQAAAAAAAMjBAABgwQAAoMEAAKBAAAAAwQAAyEEAADDBAADYwQAAIEEAAChCAADgQAAAsMEAAJhBAACQQQAAAAAAADDCAAAgwQAAAEIAABDBAABAQgAA0EEAAAzCAACAPwAAmMEAAIjCAACoQQAAoEEAAADBAABgwQAAikIAABBCAACoQgAAoMEAAKDAAAAcQgAAEEEAAHBBAAAUwgAA-EEAAKjBAABgwQAAyEEAACDBAADgwAAA-MEAAMDBAABswgAAMEEAAGDBAAA4QgAAEMEAAABAAAC4QgAAQEIAAOBBAABwwgAAGMIAAI7CAABQQQAA4MIAADBBAAC4QQAATMIAACDCAAB8QgAAlEIAAIzCAABwQQAAHMIAALLCAAB0wgAABMIAAPDBAACIwQAAEMEAAExCAADgwAAAgL8AAIC_AAAcQgAAEEIAAFRCAADAwAAAbMIAAIDCAACQQgAAjMIAADBBAADoQQAA0MEAAHDCAAAgQgAAokIAAEhCAACAwgAAAEAAAIC_AADowQAAAMAAANBBAACgwAAAEEIAAIC_AAAoQgAAwEEAAAjCAAAAwgAAUEIAAI7CAACAwAAAUEIAAFzCAABgwQAAMMIAACTCAAAowgAAAMEAALjBAADgwAAAhsIAAODBAAD4wQAAcMEAALDBAABgwQAACEIAAIBAAACEQgAAAMIAAJZCAACgQQAAnMIAAKDAAADwwQAAwEEAAFDBAABAwAAA-MEAAExCAAA0QgAAoMAAAFRCAAAQQgAAAMAAAADAAADgQAAAoEEAAODAAAAQQQAAUMEAAKBAAACMwgAAQMIAACBBAAA4wgAAmEEAAEDAAAAowgAAoEEAADBCAACgQAAAREIAABBBAACYwQAALMIAACDBAADQQQAAmsIAADjCAAA8QgAAhsIAAGjCAAAYQgAAOEIAAPDCAACgwAAAgMEAALDBAAA0QgAAPMIAAADCAAAgwgAATMIAAJhBAAAAQAAAcMIAAOBBAACowQAA8MEAAJBCAAAAwgAAQEEAAFxCAAAcwiAAOBNACUh1UAEqjwIQABqAAgAAcL0AADQ-AADIPQAAmD0AALi9AADSPgAA4LwAABm_AADGvgAAED0AANg9AACavgAAND4AAFQ-AACovQAAHL4AAKo-AAAEPgAAwj4AACM_AAB_PwAAkr4AABQ-AADIvQAAhr4AAEy-AACKPgAAcD0AAAS-AACKPgAADD4AAIo-AADYvQAA5j4AAFw-AACovQAAgLsAAKA8AAA8vgAAqr4AAHy-AABUvgAABD4AAKA8AACOvgAAUD0AAGy-AABMvgAAfL4AAPi9AABcPgAARD4AAIo-AACoPQAATL4AAKC8AABVPwAAoj4AAMI-AADgvAAADL4AAEA8AABAvAAABL4gADgTQAlIfFABKo8CEAEagAIAADS-AACoPQAAcL0AACu_AADgvAAABD4AACw-AAAQvQAAoDwAAL4-AACYvQAAMD0AALi9AAAwvQAAoLwAAKC8AAAQPQAAPz8AAOA8AAD-PgAAgLsAACy-AAC4PQAAML0AAFy-AADIPQAA2L0AAKC8AAD4PQAAyD0AAIA7AADgvAAALD4AAAS-AABEPgAA4DwAABQ-AACgvAAAmL0AAKg9AAAkPgAAHD4AACQ-AAAMvgAA-L0AAKI-AAB_vwAAiL0AANi9AAAwPQAAMD0AAIg9AADaPgAAfD4AAOA8AAAwPQAA4DwAAJq-AADgPAAAcL0AAIg9AAAQPQAAmL0AABw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ASrsAdKn2z8","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["17745934939424513010"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"13154334369488398059":{"videoId":"13154334369488398059","docid":"34-10-15-Z25C451339DB51149","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/1244774/e3e0b8d7761faba4f0bb90bf4c604415/564x318_1"},"target":"_self","position":"3","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DqE05kODo4Ug","linkTemplate":"/video/preview/13154334369488398059?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"New video soon + channel update! #JonnyMath","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qE05kODo4Ug\",\"src\":\"serp\",\"rvb\":\"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_wAE9BEE-wn8AgIMAP_3__8A4wLw9wP8AgD7-_ANBQAAAPYE-AL4AAAABPv8C__9AQD8_wT7_AAAAA0IBwP8AAAA-RQMBv4BAAAE9_4DAQwAAgkFD_z_AAAABhQGAv4AAAD2_PwJAAAAAAj3AP4AAAAAIAAthUHROzgTQAlITlACKnMQABpgPwYACAT5BNT49-i8Hw7__ing8P8W7QAUx__dBBTtJOLHmgTO__0PLtCuAAAAI_YUDz8AuGr4C-wl-B07xwAc9Bh_LA4NDzUJD_Te67vqIDXfGSsWANbo8QILCfRV_CI8IAAtaJkvOzgTQAlIb1ACKq8GEAwaoAYAAIDAAABAQQAAYEIAADxCAAAEwgAAQEAAADxCAACgQAAAWMIAAEDBAACSwgAAMEIAAHDBAAA8wgAAYEEAACBBAABAwAAAAAAAANhBAAAYwgAAAMAAADRCAAAAwAAAyEIAAIpCAABMwgAAhMIAAIzCAABkQgAAlEIAAFhCAADQwQAAUMIAAABAAACmwgAAQEAAAAzCAACSQgAAUEEAAODAAABgwQAAWMIAAPBBAAAoQgAA8EEAACRCAAAAAAAAUEEAAOBBAACIQQAARMIAALjBAADgQAAAXMIAAFTCAACAwAAAwEAAAGxCAAAowgAAQEAAAIA_AAD4wQAAgMAAAAjCAABAQQAADEIAABBCAADMwgAAeMIAAPhBAADAQAAABEIAAJBBAAAEQgAAZEIAAKjBAABgwgAA6EEAAFzCAADAQQAAYEEAAKBCAACKQgAAgEAAAILCAAAkQgAABMIAADBBAAB0QgAAEEEAAIDAAAA8QgAAuEEAAATCAAAgwgAAYMEAAIpCAACQQQAA-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-AAAkvgAAPD4AACw-AAC4vQAAED0AAKi9AACYvQAA-L0AADQ-AACIPQAAyL0AAFw-AAB_PwAAgDsAAGy-AAD4PQAAuD0AAKC8AAAEvgAAQLwAAHw-AAB0PgAAiD0AAJg9AABwvQAALD4AADA9AADIPQAADD4AAAS-AAA8vgAAtr4AAIi9AADYvQAAiD0AAFC9AACYvQAAdL4AADA9AAAUPgAAED0AABC9AAA0PgAAMD0AAFw-AABUPgAAfL4AAFA9AAABPwAAuD0AAEQ-AABwPQAA2L0AAEA8AACOPgAA6L0gADgTQAlIfFABKo8CEAEagAIAAFS-AAAQPQAAyD0AAAO_AAAsPgAABD4AAAw-AACAuwAAcD0AAMI-AADgvAAABD4AAGQ-AABQvQAAEL0AADC9AAD4vQAAZT8AACy-AACmPgAAcL0AAI6-AACYPQAAgDsAADA9AACAuwAAuD0AAAw-AAA0PgAA4DwAALi9AABwPQAAgLsAAIC7AAAUPgAAmL0AANg9AABEPgAAyL0AAIA7AACSPgAAir4AAPg9AABcvgAAED0AAJi9AAB_vwAAFD4AAOi9AACAOwAAED0AAKA8AACmPgAAML0AAHC9AAAwPQAAQLwAAPi9AACgPAAAmD0AAKg9AAAcvgAA6L0AAKg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=qE05kODo4Ug","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["13154334369488398059"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15184473857985168725":{"videoId":"15184473857985168725","docid":"34-0-5-Z98776411E455FD59","description":"#calculus #maths #math #radicals #infinite #mathforfun sqrt(2+sqrt(2+sqrt(2+... ... ? Is this even possible??? Today we are going to solve this Infinite Radical Expression together!!!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3130227/71922cb5c4edf0e2249beec6dce0f66a/564x318_1"},"target":"_self","position":"5","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0laG3gFZjh8","linkTemplate":"/video/preview/15184473857985168725?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"An Infinite Radical Expression!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0laG3gFZjh8\",\"src\":\"serp\",\"rvb\":\"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-wQBAv4DAPTvD_39AwAB_wYI__j-_gDd9fj2BvkDAPgABfoHAAAAAgIM8wMAAAD9-PgC-_4AAAIKDf0EAAAAGfb1CP0AAAAEDvwECgABAfT99gP2AgAACwT5BQAAAAAACAL3AwAAAP4K-QsAAAAA9f_68P__AAAgAC2ddds7OBNACUhOUAIqcxAAGmDfFAAvJwwACvwy2uMb8vnt7Q8A9NIGAO_VAO0N8uHwAOzD8jH_KNn_BsAAAAAf7yUk8wDlVewCzSQVywrgyPkTLn8MHOv15iT30BEOES7aJPAM0goA0yXYGyH-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_AACAwQAAUEEAAFhCAAA0wgAAcEEAAIA_AAAkwgAAsMEAAABCAAC4wQAAMEEAACBCAACgQQAAREIAAKBAAACIwQAAmMEAAIjBIAA4E0AJSHVQASqPAhAAGoACAAC4vQAA4LwAAFQ-AACoPQAAED0AAJg9AAAkPgAAKb8AAOA8AAAkvgAAuj4AAIg9AAAwPQAAhj4AALi9AAAwvQAAgDsAAEQ-AAAEPgAA_j4AAH8_AADovQAAXD4AAFA9AACKvgAA4LwAAFC9AACoPQAAoj4AAKY-AACePgAAoLwAAIC7AAAUPgAAFD4AALI-AADoPQAAFL4AAPK-AABUvgAAyD0AAKi9AACyPgAABL4AAJ6-AACIPQAAED0AABA9AAB8PgAAiL0AAOA8AACCPgAAMD0AAJ4-AAA8vgAA2D0AAFs_AAAUPgAAyD0AAPg9AACAOwAABL4AAIo-AAA8viAAOBNACUh8UAEqjwIQARqAAgAABL4AAIC7AABcvgAAXb8AACS-AADYPQAAJD4AAJo-AACIvQAAiD0AADw-AAAwvQAAoDwAAJi9AACIPQAAmL0AAFy-AAA3PwAAUL0AAKI-AABQvQAAQLwAAGQ-AABMvgAA2L0AAFC9AAD4vQAABD4AAHC9AAAQvQAAFD4AAHC9AABAvAAA4DwAAJY-AADSvgAAND4AAMg9AAB8vgAAfD4AAIY-AABkvgAALL4AACw-AAAMvgAAyL0AAH-_AACgPAAAuL0AAFw-AACAOwAAfD4AAGQ-AABkPgAAdD4AAIg9AADIvQAAiD0AAHQ-AACmvgAAmj4AAMI-AACAuwAAXL4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=0laG3gFZjh8","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15184473857985168725"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"16575189888419447164":{"videoId":"16575189888419447164","docid":"34-2-16-Z293EE197813EC8DA","description":"#calculus #maths #calculus #limits Let's do some practice with this limit!!! I'm JonnyMath and welcome to my youtube channel. If you enjoyed my video please subscribe to my channel and share the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2235161/2cee7ae869afce418d79a059bd919dbc/564x318_1"},"target":"_self","position":"6","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DFxTG0jk9rZA","linkTemplate":"/video/preview/16575189888419447164?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Can You Solve this Basic Limit!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=FxTG0jk9rZA\",\"src\":\"serp\",\"rvb\":\"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_APv0CAD6Bf4C8Pv1Cfr__wDjAvD3A_wCAAL5-___AQAA8Q_3B_wAAAD3_f71-v8AAAcLBPAEAAAAE_UDCAIAAAAJAwgI_wEAAPz7_fYC_wAABPr9BAAAAAD3Awz8AQAAAOwD-A4AAAAACeoJBgABAAAgAC1qLM87OBNACUhOUAIqcxAAGmAFGAAcHA3a6ggI4uzvGxPpGOfy3836AAAPAO0BHrf-EMKvFQT_PO7w-bYAAAAT3t4EHAD4XP7f1SUc6Pvtt-5E6H8a7PoYDe_w0f4FHjX_BtXtGzMAnB3r9QvX6jTrITAgAC0Ytjs7OBNACUhvUAIqrwYQDBqgBgAAMEEAAFDCAAA0QgAAmsIAAGBBAAAUwgAAuEIAALBBAAAgQQAAMEEAADRCAACowQAAoMAAAKBAAACIQQAAMEEAAPhBAABgQQAAcMEAAMBAAABkQgAAcMIAAFDCAADIwQAAEMEAACBCAAAQQQAAQEAAAIA_AADgQAAAmsIAAADBAAAkwgAAXEIAAMDAAACwQQAA-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-AAB0vgAAmD0AAK4-AAAwPQAA5r4AAMg9AADgvAAAuD0AAIA7AADgvAAA2L0AABA9AABQPQAADD4AAOA8AADoPQAA6j4AAH8_AABwvQAARD4AAHw-AACqvgAAVL4AAKA8AABwPQAAuL0AAHQ-AAA0PgAA4DwAAFA9AAAMPgAATD4AABw-AABkPgAAyL0AAP6-AABUvgAAqr4AAAS-AADIPQAAEL0AAIg9AACIvQAAgDsAADA9AAD4PQAAgLsAAJi9AAAMvgAADD4AAM4-AACavgAAiD0AACk_AABwvQAAUD0AAGw-AACovQAAjj4AADQ-AACIPSAAOBNACUh8UAEqjwIQARqAAgAA6L0AAEC8AAAwvQAAR78AAOC8AADYPQAArj4AAKi9AAAwPQAAwj4AAHA9AADIPQAA-L0AABA9AABQPQAAUL0AAHC9AAApPwAADL4AAAM_AAAcvgAALL4AAIi9AACAOwAAUL0AADA9AABwvQAAQLwAAHA9AACoPQAAoLwAAIC7AADYPQAA6L0AACQ-AACAOwAAiD0AAKg9AAD4vQAAUD0AACQ-AAC4PQAAuD0AAJi9AAC4vQAAcL0AAH-_AABEPgAAqD0AAEC8AADgvAAA-D0AAJo-AAA0PgAAyL0AAJg9AACAuwAAZL4AABA9AABwvQAAJD4AAEA8AADgPAAARD4gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=FxTG0jk9rZA","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16575189888419447164"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"9556648390115713841":{"videoId":"9556648390115713841","docid":"34-6-5-ZEA9297110ED5FA5D","description":"#trigonometry #geometry #maths #math #mathforfun Let's solve this interesting geometry problem with trigonometry!!! I'm JonnyMath and welcome to my youtube channel. If you enjoyed my video...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2029558/0fcf6f25f1c9234dd1d20bf35e993054/564x318_1"},"target":"_self","position":"7","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D2fa5lsxX0Pw","linkTemplate":"/video/preview/9556648390115713841?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Try to Solve this Trigonometry Problem!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=2fa5lsxX0Pw\",\"src\":\"serp\",\"rvb\":\"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-QT7_AQA-_4NBPsG_QIMBf8C9wAAAOkB-Pv5_gEA9wESAQEAAAD9C_wFCwAAAPcD-fIB_wAADAT57gMAAAAH-_cFAQAAABAA_PD_AQAAAvYKBvUCAAH-7P76_wAAAP7__fsCAAAAAwD6_wAAAAD7-gEDAAAAACAALZbg3Ts4E0AJSE5QAipzEAAaYPYTAA0gBLP_Bgjq4-PkBwvvBPT42f8A_PcAFBMV8CgDzNAQG_9J4gb5wAAAACD4_vIbAPtLE-D9IiDZCLviAiAQfxUA1h4A_RbY9_A_O-X3zNwKGgDmIO8SHBXzCDYJJiAALV78Ujs4E0AJSG9QAiqvBhAMGqAGAABQQQAAcMEAADBBAABswgAAcEEAAGDBAACKQgAAQMEAAEDAAADgwQAAEEEAAHBBAAA0wgAAEEIAANDBAABEQgAAIEEAABzCAAAwQQAAoEAAAIJCAABAwgAA2EEAAHBBAADIQQAASEIAADBCAABgwQAABMIAAAAAAACAwgAAIEEAACjCAACgQQAA0MEAAIDAAABIQgAAAEIAAIBAAABAwQAATEIAAJBBAABgQgAA4EAAADRCAAB8wgAAREIAAPBBAADYQQAAYEEAAIC_AACYwgAAQMIAAMDAAACgQQAANEIAADDBAABAQAAAQMAAAKJCAADQwQAAqsIAAKDAAAA4wgAAYMEAAGzCAACAvwAAsMEAAAxCAACAwQAACEIAABBCAADYwQAAZEIAAIC_AACwwgAA-MEAADhCAAA8wgAA6EEAAEjCAABgQgAA8EEAABBBAACOQgAAEMEAANBBAAA0QgAAkEIAAPjBAADgQQAAbEIAAGjCAADgwQAAIMIAADzCAAAowgAAYMEAAEhCAACyQgAAkMIAAJhBAAAAQQAAuMEAAADBAADAQQAA4EAAAJhBAAAAQgAAKEIAALBBAADYwQAA4EAAAGRCAABUwgAAQMAAAAxCAACYwgAADMIAAMDBAAAIwgAAHMIAADzCAAAowgAA4MEAAODBAABgwgAAAMEAACjCAADQQQAAEMEAAIDAAABAwAAA7EIAAOjBAABsQgAA4EEAAGBBAAAowgAAPMIAAMBBAACAvwAAHEIAAEDBAADAQAAAoEEAAHjCAABwwQAAEMEAAKjBAAAwwgAAQEAAAKBAAAAAwgAAKEIAABDBAAAYwgAAsMIAAAzCAAA0QgAAYMIAABBBAACAQQAA-MEAAJBBAAA8QgAAoEAAAGDBAACgQAAAsEEAADjCAACIwQAAUEEAAKrCAADowgAAAAAAAEDAAABowgAAisIAABBBAACQwgAAEMEAACjCAAAIQgAAuEIAAKDBAABQwQAAwMEAAHDBAABAwQAAgMAAAEDAAACAQgAAcEEAAHRCAACOQgAAQMEAACRCAAAUwgAAMMEgADgTQAlIdVABKo8CEAAagAIAALg9AADIPQAAHD4AADC9AADGvgAAzj4AAAQ-AADKvgAAUD0AAKg9AACYPQAAdD4AADw-AABAPAAApr4AAEC8AABUPgAAoLwAAKY-AABTPwAAfz8AANa-AAAQPQAAnj4AAHy-AAAwPQAALD4AAFA9AABkPgAAlj4AABA9AACGvgAAcD0AAJY-AACiPgAAPL4AAFC9AAAMvgAA2r4AAIa-AAC2vgAA-L0AAK4-AAB8vgAA4LwAAFA9AAA0PgAATL4AAIA7AAB0PgAABD4AABS-AAB0PgAAmD0AAK6-AAAwPQAAYz8AACS-AAAMPgAAyL0AAKC8AACoPQAAyD0AAIK-IAA4E0AJSHxQASqPAhABGoACAABQvQAAcD0AAAQ-AAAvvwAAEL0AAIg9AABsPgAAcD0AAKi9AACKPgAAqD0AAFC9AAAEPgAAyL0AAAQ-AADovQAAuL0AAEU_AABwPQAAlj4AABC9AABsvgAABD4AAJg9AAAEvgAAbL4AAJi9AACYPQAA6D0AAKi9AACgPAAAQDwAAKA8AAAcPgAAbD4AAOi9AACKPgAAhj4AAFy-AABwPQAAFD4AAHA9AACgPAAAuL0AAKg9AAD4PQAAf78AAHw-AAAEPgAAqL0AAKg9AAAwPQAA5j4AABw-AAA8vgAA2D0AAOA8AAC4vQAABD4AAKi9AAAEPgAAqD0AAES-AABwPSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=2fa5lsxX0Pw","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9556648390115713841"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"11980151553554382392":{"videoId":"11980151553554382392","docid":"34-4-8-Z2B15C970F642F416","description":"#math #complexnumbers #maths #imaginarypowers #mathematics #mathforfun What is i^i equal to? This is a very interesting math question!!! It is equal to e^(-pi/2) !!! I'm JonnyMath and welcome...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4900596/4e1eb793a1b4038ee445572fa3aea4ba/564x318_1"},"target":"_self","position":"8","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DhUQvSfHG9l4","linkTemplate":"/video/preview/11980151553554382392?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"i^i ?","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hUQvSfHG9l4\",\"src\":\"serp\",\"rvb\":\"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_voGAP0CBQL6Bf4B8gn5_Pr-_QAB_Qb7AwX-APYI9gMJAAAA_Rf8BQMAAAD9BQH7-v4AAA0MAfoFAAAAAvH2AgMAAAALAfkCCP8BAQT9CP_6AQAACAQCCgAAAADzCwIBBPr4BP4J_wMAAAAA__YB_gAAAAAgAC1aVOQ7OBNACUhOUAIqcxAAGmAXEAAeCTAIAv0OBe78_RYbHwIBDvPtAPUrAPMQ99kLDMrEIw0AFv_wAsgAAAAI9-cBBQDsSN7b5Q7rBvEC7f8JC3_2-Nvt9PsD3doO_hpNHg0GQyAA3yfi5-X-7jgZAjMgAC3T7WQ7OBNACUhvUAIqrwYQDBqgBgAADEIAAATCAACQQQAANMIAAJjBAABgQQAAdEIAAMDBAACIwQAAoMAAAGBBAACMwgAAAMIAAAzCAACgwAAAqMEAAJBBAACoQQAA4EAAAADBAAAMQgAAgsIAADBBAADQQQAAsMEAAOhBAADAwQAAYEEAAPhBAACAQQAAhsIAAEDAAABAQQAAUEIAAMjBAADgQQAA-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-EEAAFDBAADAQAAAJMIAAEBBAAD4QQAAsMEAAKrCAACAwQAAqkIAACzCAACAvwAA8EEAAGzCAABAQQAAwEAAAExCAADwQQAAgEAAAOjBAAAAwQAAkEEAAKDBAAAgwQAAXMIAAOBBAAB4wgAAiMIAAIBBAACiQgAAdMIAADBBAACgwAAABEIAAKBBAACOwgAAEEEAALhBAAB8wgAAqMEAAAAAAABgwgAAWEIAADBBAACwwQAAQEIAAOjBAACAQQAARMIAAGDBIAA4E0AJSHVQASqPAhAAGoACAAAQPQAAgLsAAEA8AACYPQAA3r4AAIY-AABQvQAAF78AACw-AACGPgAA7j4AABS-AACgPAAAyD0AADC9AACgPAAAoDwAAHA9AABMPgAAtj4AAH8_AABcvgAAQLwAAKI-AAC2vgAAcD0AACS-AACgvAAAVD4AAEQ-AABQPQAAoLwAAOC8AADaPgAAgDsAAIA7AACAuwAAur4AANa-AAAEvgAAUL0AAKK-AABsPgAAQLwAAKi9AADgPAAADL4AAMg9AAAkvgAAXL4AACQ-AAAkPgAA1j4AAFQ-AACyvgAAFD4AAGc_AAAwvQAAnj4AAMg9AABAvAAAFD4AANg9AABEviAAOBNACUh8UAEqjwIQARqAAgAAcL0AAKq-AADovQAAQ78AAIg9AACKPgAAij4AAOg9AABwPQAA-D0AADy-AABQPQAAfD4AAOg9AAAwvQAAoDwAAIA7AAAzPwAAnr4AAIo-AABkvgAAoDwAAKg9AACoPQAAJL4AALg9AADYPQAAcL0AABw-AACYPQAAFD4AAIC7AACAOwAA4DwAAHA9AACAOwAAlj4AAEC8AABMvgAA-L0AAHQ-AAA8PgAA2D0AAOA8AAA8vgAA-L0AAH-_AACqPgAAqD0AABC9AABQPQAAcD0AAL4-AABcPgAA2D0AABw-AACYPQAAHL4AABw-AABUvgAADD4AAJi9AACWvgAAmL0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=hUQvSfHG9l4","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11980151553554382392"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"10157047143458296475":{"videoId":"10157047143458296475","docid":"34-8-11-Z3F289E61B4529B2D","description":"What's the Easiest way to Prove the Power Rule for derivatives??? In this video, I'll show you how to prove it in a bunch of steps without having to remember the binomial theorem and go through...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/994109/df2721844be79c93b64fe2a511cada1d/564x318_1"},"target":"_self","position":"9","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DCE1xO2U6MDw","linkTemplate":"/video/preview/10157047143458296475?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Easiest Proof of the Power RULE!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=CE1xO2U6MDw\",\"src\":\"serp\",\"rvb\":\"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_gL-AgAD-g0OBgv6AvQOAwv5_f0A4wP8Cgj8AgDsCQ4D_gAAAAUAAAEEAAAA_wv89gH-AAAREwUEBAAAAAoAB_z8AAAADfz0C_8BAADu8_0LA_8AAAgEAgoAAAAA9g8BAwEAAAAFA_H8AAAAAPvz-_kAAAAAIAAtbrLaOzgTQAlITlACKnMQABpgEhcAKSwc_-YDI9f_1tj_JwUi-PfcCwAD8ADtEwD2H9vtwS_3_zfSJPG8AAAAGSbS5C0A9FwTz9H8ARj57ecoC0l_-Rf76yzWAAH1FNz7CQnltjQUAMIIERER0P4MJDT-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-AAAsPgAAmD0AAEC8AADIPQAAfL4AALa-AAAUvgAAcL0AAOA8AAC4vQAAHL4AABQ-AACIvQAATL4AAJi9AACgvAAAoDwAAJo-AAB_PwAAyD0AABA9AADYPQAAxr4AAIi9AABAPAAA4DwAAFA9AAAcPgAAuD0AAKC8AABQvQAAlj4AAFC9AAA8vgAA-D0AAJa-AADavgAAjr4AAJg9AABEvgAA8j4AABC9AADYPQAA2L0AAIC7AADovQAAdD4AABC9AABAvAAAXD4AABQ-AAB0PgAATL4AAIC7AAALPwAAQDwAAJg9AAAsPgAAXL4AAIY-AABkPgAANL4gADgTQAlIfFABKo8CEAEagAIAAFS-AAAcvgAAgDsAACG_AACOPgAAEL0AAJg9AAAwPQAA4DwAAOg9AACavgAAuL0AAMg9AABkvgAAcL0AAFC9AABwPQAAFz8AACS-AABcPgAAEL0AAKg9AABAPAAAND4AAIg9AAAQPQAAPD4AAKC8AAAcPgAA2D0AAIC7AADYPQAADL4AAEC8AACavgAAQLwAAI4-AADYvQAAZL4AALg9AAC4vQAAUL0AADw-AADYPQAAcD0AAHC9AAB_vwAADD4AAJq-AAA8PgAAZL4AAEC8AACmPgAAgDsAAGy-AAAwPQAAUD0AABA9AAAwvQAA4LwAAFC9AAAcvgAADL4AABC9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=CE1xO2U6MDw","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10157047143458296475"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"3422773235670504160":{"videoId":"3422773235670504160","docid":"34-2-4-Z2545272720220A0A","description":"#LambertWfunction #tetration #equations #math #maths #mathematics Today we are going to solve x^x = 3 using the Lambert W function!!! This function it's the inverse function of f(x) = x*e^x and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1523374/c605c9479a3f849ae0647db35514b2ca/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/GIVbOgIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Df9rnCD-19TY","linkTemplate":"/video/preview/3422773235670504160?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"How to Solve this weird Equation x^x = 3 !!! | Lambert W function","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=f9rnCD-19TY\",\"src\":\"serp\",\"rvb\":\"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_wA_AARBQcH_AIn9_0JEAIDANfz8QMH-AMA_wQO8wgBAADmEP78-QAAAAH1AQX1_QEA-vL1_gMAAAAE-AYA_gAAABAD9_7-AQAA-PX0CQT_AAABAfQEAAAAAPb3DfEAAAAA_hYRAQAAAAAQ_gH1AAAAACAALZzVxjs4E0AJSE5QAiqEAhAAGvABZRAK-80NGQHnD_4AoP7b_7EpP_9_0QX-JDUtARv11ADoHtYA1f4T_50H_AHyLSz_FuHm_xklDABH_AX_5wU4AQQyCgHz5Dz-duQUAEH5BP_ABiP_DPkOAAAuFwDtATj8F-gIATS6EQIBz-v-6_LtAQcfDAFr698EKt4C_4HhHQHVERP4CgoVCicA7_cV1jEGDvzNAMcp6P__MSkCMNj396Tp6_8MFQIG3gL_CBsE__ve1dUA9Dzg_A3GJQb4HP4QLir7CecV7PILDCIHNA4G7dfkBwQcEfoW8gbo_u-h7f7_NQQI3R0e_voo8f8puRIVIAAt8UvwOjgTQAlIYVACKs8HEAAawAdsCry-2J-UvbLrKLxUNky9mTwvvRG2jrqOyoW-ppkuPXiJAD0fgT-8TSzVPI1S17uXx6q-E8fsO74Rnbz9vXQ-klRLvQOx7DzyfYw9FqEYPVg7irzY1YS9jfInvA7drDyCRIm8dSuKvfwrWLv61dw9N35yPKugFjxC7Ay-1L40vUCr57xD5_W9f7YfvVoiAb22_WE88aKKPIz-hjws2KE9IpSiPYg2GTy4HY-9Xt9iPAGnN704Fk-9q_hwvYOyH727L7I9Fjz7PKUFGrvcVX68_dc-vcogsboetYM9_tj_PIkevrsRFlu7V1x8PeMkI73R9p65dXcZvJgZMjudnQy-vhFdvJV2NLxmMGY9C8qZPfOBk7zMIlq77C8APZwWvDufGjO7547-vAvV6LwW7MA9SqtLPWNic7xBRxs-Zw6JvYJQwTvqOhk9fZ-QvZ0vUTxTyqA9LHdQveKxG7x1DOO8DacMPBDL6joluRG7kobkvBpkXLxeY7y9BcwSvV4lxLsfFO-8y5fhPGgkH7yV-WK9treAvahNf7vsQ7i9j1ADvn9AELvmKcY84wfdPAjYfTxBlIk9bSUvvTtI_DpxY4m9zBG9vSy1JDt41Ii9q7n3vDMuwTqBSqu9JWLlvOuLCLxPJ4Q9xu4KPALLW7wEplg94XAwPfIgg7ufprs8UfyzvZcGmzueiR89ZsnCPe_m3jiHy4A9aY4sPAHXYLpas1o9PXaRveqG2LrUoIE7dBWxvT6zW7h7vAA-h16QPN9DbzmhEYw9eofCukmVSLlmYVQ9t_GHPUrcsTnUyzm8r5b7vZSHfDnuc-O70qGIvcMjPDnLovC8W0IevjcF4zl8Gfu8GAltPRlZjTeiVGy98l_gPAuglDkMicU8_fqcvZLDPbn7m6Y9MIAQPSQdcLgrc4k9bRUJvd0qxjgWbrQ93dMRPI3LgDih5a-8VE0VvbUYMbgCgwS95yW1vIAnrbXWi6a9f429u2YgALnd81c9x1dRPQd6Hzf-kh48zYSwPLfRlbUhio49o6OHuwCvjbeHRVY902Wmvb8o9DYLDbQ9juYIPEGvXzagUM-9Fe-GPcLSAjhZp0q9NkcMvQFXSzd39tW9e-OavFZI9Lj2pEK9MCUXPYPDyDcNnqM9TsjYvHYfv7hKjA89tVNvO8AM3rcVb0m9KewSvrTeTDeSzOq9hiFyPBSDkDiGECE9XHfTvd7zm7chMrY8OznjPQQbBjkxmhU9fkl0vPCE57gntQK8hUNvPZeuN7jyoPK6W4kqPV4QqjcgADgTQAlIbVABKnMQABpg5PYAQxwfyQwi--YYyQgaCvUJ4A0H6f8XvP8kLAbiESPDjgf__1rZIPacAAAAJOQY1PYABH4Xz_NKA_XunMbLPyt_LwLIutHsLtUhDQIv9Bj17hUoALQUwA9JEQElFiBgIAAtYCAWOzgTQAlIb1ACKq8GEAwaoAYAABxCAABMwgAAGEIAAGzCAADgQAAAgEAAAChCAACAwAAAEMEAAFBBAAAAAAAA0MEAAGDBAACYwQAAAAAAAADAAAAgQQAAgL8AAJhBAACIwQAAiEEAAMDBAACAPwAAUEEAAFDBAACGQgAA4EAAAODAAACIQQAAAEAAAJDCAAAAQQAAQMAAAPBBAAAAwQAALEIAAKhBAAC-QgAAmMEAAEBBAAAQQgAAiEEAAI5CAADgwAAAAEAAAJzCAAAkQgAAgEEAAEhCAADgQAAAQMAAAJjBAABcwgAAJMIAAGBBAACAQgAAUMIAAFDBAABgQQAArkIAALBBAABEwgAAqMEAACDCAACowQAAyMIAAMBAAAAgwgAAgEEAADzCAACAQgAAnkIAAEDCAADwQQAAoEAAAI7CAACQwgAAbEIAAHDBAADoQQAAXMIAACBCAADoQQAAQEEAAIBBAAC4QQAAKEIAAGRCAAAkQgAAWMIAAITCAABsQgAAcMEAAETCAACgwQAAoEAAADTCAAAAQQAAYEIAAHRCAABwwQAAwEEAAADAAADIwQAAHMIAAEBBAACoQQAACEIAAEDAAACaQgAAKEIAAKDBAADAwAAAfEIAAKDBAABAQQAA2EEAAOrCAACYQQAAcMEAAIDBAADAwgAAZMIAAFDCAABQwQAAgMIAALLCAABAwAAATMIAAIjBAAAAQQAAuEEAAABBAACCQgAAiMIAAERCAACgQAAACMIAAEDBAACEwgAAqEEAABBCAADAQAAA6MEAAEBCAAD4QQAAgMIAAARCAABAwAAAMEEAAKDAAACowQAA2EEAABDCAACAQQAAgMAAAMDBAACkwgAA4MEAAGhCAAAkwgAAMMEAAMBBAACIwgAA4EEAAIhBAACgQQAAsEEAAODAAAAQwQAAQMEAAAAAAACgwQAANMIAAJrCAACIQQAARMIAAEjCAAAsQgAAbEIAAKbCAACQQQAA4EAAAIBBAADAQQAAiMIAABBBAAAMwgAAMMIAAABAAAAgwQAAsMEAAIpCAADAQQAAcMEAAFhCAAAEwgAAHEIAABTCAAA4wiAAOBNACUh1UAEqjwIQABqAAgAARD4AACw-AABEPgAAHD4AAMg9AABkPgAAmD0AADm_AAAQPQAAqD0AAGQ-AABQPQAAyD0AAKg9AACOvgAAEL0AALo-AADoPQAAmD0AANY-AAB_PwAA4LwAAOg9AACiPgAAEL0AABy-AACiPgAAfL4AAGQ-AADIPQAA6D0AABC9AACYPQAAoDwAAEA8AADgPAAABD4AAK6-AADuvgAA4r4AAHS-AAA8PgAAoj4AAHC9AADIPQAAbD4AAFw-AAAUvgAAcL0AAI6-AABEPgAABD4AACw-AACaPgAAZL4AANi9AABZPwAAXL4AAMg9AAAMvgAAXD4AAPg9AABQPQAAur4gADgTQAlIfFABKo8CEAEagAIAANi9AAAMPgAAJD4AAB2_AABMvgAAQDwAAM4-AAAsPgAAcD0AAMo-AADIPQAAmL0AAFA9AACgvAAA4DwAAFC9AABQvQAAMT8AAJg9AADiPgAAgDsAAAy-AAD4vQAA4DwAABC9AABkvgAAcD0AAIg9AACYPQAAgLsAAJi9AACIPQAA-L0AAKC8AABEPgAAHL4AALI-AAAMPgAApr4AABw-AAAQvQAAqD0AAOA8AADIvQAAPD4AAMg9AAB_vwAAij4AAIC7AACGvgAAmL0AACw-AABMPgAA2D0AADA9AAAsPgAAQDwAACS-AAD4PQAAuD0AABw-AABMvgAAuL0AAAQ-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=f9rnCD-19TY","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["3422773235670504160"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"679393538"},"3593639727493888081":{"videoId":"3593639727493888081","docid":"34-2-13-Z2D4B703DC6675E76","description":"In this video you'll hopefully get the deepest understanding of the general definition of a limit and if you still find it confusing and weird you could appreciate how important it is! In this...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3502737/fda2eaa4cc806e9927251c0873ac60f4/564x318_1"},"target":"_self","position":"12","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DQ1xlvT_XhjI","linkTemplate":"/video/preview/3593639727493888081?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"If you still don't Understand the Definition OF A Limit this video is for you!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Q1xlvT_XhjI\",\"src\":\"serp\",\"rvb\":\"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_oUBgcE_QHi7xIK_gECAOYB9_r4_gEA9QH7DggAAAD1BfgC9wAAAPr88_j0_gEADw4B-QUAAAAc9fQJ_QAAABAN-wT-AQAABekC8wIAAADqCv0E_wAAAPYCB_T__wAABQcEFwAAAAAGBwMK_wAAACAALfTBwDs4E0AJSE5QAipzEAAaYA4JACgXENvq9Rvo-gfK-AIOIAD8-egA7voA6B3V6Ar52b4G6v8myv0GwwAAAB8g7BsMAO5KDujcPP0R8e_gDQ0Hfwjt3gQlDOzX4x0ZLv4X4fw7HgDjGxAA_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_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-AACgvAAALD4AABC9AAAQPQAAuj4AABC9AACuvgAAVL4AAIC7AAA0PgAAEL0AAOg9AADgPAAA6L0AAIA7AADgPAAAoDwAAGQ-AADOPgAAfz8AAAS-AAAkPgAAqj4AAK6-AACIvQAAEL0AAOC8AACqPgAAbD4AAIg9AABwPQAAvr4AAAw-AACYPQAAMD0AAIg9AAAsvgAAAb8AANK-AAA8vgAAlr4AAJY-AAC4vQAAQLwAAIi9AADgvAAA6L0AAHw-AACSvgAAPL4AAMg9AAAsPgAAlj4AAIq-AACAOwAAFT8AAOC8AADoPQAAhj4AAHC9AACgvAAAqD0AAMg9IAA4E0AJSHxQASqPAhABGoACAAAEvgAAvr4AANi9AABbvwAAHL4AAOg9AABMPgAAij4AABC9AAD-PgAA2L0AAHw-AACIPQAAXD4AAFy-AADgvAAADL4AAEE_AAAkPgAAIT8AAHC9AABEvgAAQLwAAKC8AADYvQAAcL0AAI4-AACAuwAAJD4AAGw-AADgvAAA2L0AAAw-AAC4vQAAND4AAGy-AABMPgAAgDsAACS-AACmPgAAXD4AAPg9AAA0PgAAEL0AAEC8AABQvQAAf78AAHw-AAAQvQAAcL0AAHS-AABUPgAAxj4AAGw-AABQPQAADD4AAIC7AAAsvgAALD4AAI6-AAAsPgAAcD0AAI6-AACYvSAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Q1xlvT_XhjI","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3593639727493888081"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15843553472473710229":{"videoId":"15843553472473710229","docid":"34-6-1-Z4B369216D4D1E55C","description":"#logarithm #lambertWfunction #exponential Today we are going to solve this Amazing Equation!!! The equation is ln(x) = W(x) and it's a mixture of logarithmic and exponential equations with the...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/228189/0ba8750a5b7304942eb7a22f80fbdea8/564x318_1"},"target":"_self","position":"13","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3Dbrp9noWl7R8","linkTemplate":"/video/preview/15843553472473710229?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"This Equation is Cruel!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=brp9noWl7R8\",\"src\":\"serp\",\"rvb\":\"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_g0E-wb9AvgABAn6_v0A7vwG-wYAAAD0_QoI_AAAAP8JAfcAAAAA_fj4Avv-AAALDPsBBQAAAAIF9gcCAAAAGfT9-P8BAAD2-gb5AgAAAPcIAQT_AAAA-QX--P4AAAD3CREDAAAAABH7AAH89f4AIAAtYD3hOzgTQAlITlACKnMQABpg5xMAGzwg9g4cHgDfCAsh9BDcD8Hc8wATFAD_J_vQG_rEw-_9_ynDHPa1AAAACuT3Aw8A5lf4APRIBeTewdnTIRV_AAnV6wYf9OL90dsW3QIBzDQyABIK9ScDDuRPBTUhIAAtxII-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_AABAwgAABMIAADhCAABMwgAAGMIAABBBAAAAwgAAIEEAAIC_AACgQQAA4EEAANhBAAAAQQAAwMAAAMhBAAAwQQAACMIAAHjCAACQwQAAuMEAAJzCAACYQQAAnkIAAMLCAABAwQAA4MAAAEBAAAAcQgAAdMIAAOBAAABAQQAAWMIAABBBAADAQAAAwMEAAEhCAAAAQgAAAAAAAJ5CAAAAwQAAgL8AADzCAAAcwiAAOBNACUh1UAEqjwIQABqAAgAABD4AACw-AACivgAAUL0AADw-AAAhPwAAUL0AAHe_AACgPAAABD4AAKY-AABUvgAARL4AAAw-AADovQAAHL4AAMY-AAAwPQAAQDwAABc_AABxPwAATL4AAKI-AABEPgAAgr4AAKC8AAAkPgAAUD0AAIo-AAAEPgAA3j4AAFS-AAC4vQAATD4AAHC9AAAQPQAATD4AANi9AAAPvwAAE78AABC9AAAUvgAAsj4AADC9AAAcPgAAmD0AAHA9AABUvgAAcD0AAIa-AAAkvgAAbL4AAPg9AADOPgAAQLwAANg9AAB_PwAAZL4AAEC8AACOPgAA4LwAAOo-AACCPgAAZL4gADgTQAlIfFABKo8CEAEagAIAAPi9AABwPQAA2D0AAE-_AABwvQAAML0AAPo-AABAPAAAVD4AALg9AAB8PgAAgDsAAIC7AACIPQAAJD4AAKA8AADIPQAAKT8AAAw-AADePgAAFL4AABC9AADYvQAAML0AABy-AACAuwAA-D0AAKA8AAA0PgAABD4AAKC8AAC4PQAAHL4AADC9AAAMPgAAQDwAAEw-AAAwvQAAXL4AAOC8AACIPQAA2D0AAIi9AABcPgAAiL0AACQ-AAB_vwAAMD0AANg9AACAOwAAEL0AAII-AABAPAAA2D0AALg9AABkPgAAQDwAAJK-AACqPgAADL4AAIo-AAB8vgAANL4AADA9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=brp9noWl7R8","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["15843553472473710229"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"4170773144034970027":{"videoId":"4170773144034970027","docid":"34-2-7-ZC86533736E6C2303","description":"#math #crazyequations #mathematics #equations #maths Today we are going to solve two Impossible equations!!! They are so difficult to solve that we can't get the right solution without...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1532937/0486f7eca7b0a1070c68cc877516f552/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/9RNkRAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D_HSarWXeH80","linkTemplate":"/video/preview/4170773144034970027?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Solving two Impossible equations!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=_HSarWXeH80\",\"src\":\"serp\",\"rvb\":\"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_gIA8_kCAPoDAAH5A_8B-f39APTx-f8FAv8A_QIKAAkBAAD6D_D_AwAAAPcA9QL6_wAADQb1AwQAAAALBQAABQAAABHy-_7_AQAA9f8A_fkBAAAI-QL9_wAAAPwMB_8CAAAA7xkBBgAAAAAU_AAFAAEAACAALVog2Ds4E0AJSE5QAirPBxAAGsAHcSDMvtQ9HL0GL1W87MY2vfcZnL0L0sw85lmBvh2Ytz0DbJM6zNJOPejoJzyT5X-8_Iy7vlpTD7zG6sW7_b10PpJUS70Dsew8BEkJPcqR6Ty23SG8Asy2veNTHbxNBGA9CPeEvT27N73G6BA76QvhPa0ei7wj1DE8IbKzvU07rburMVe8GBwqvb5Oir0GDgu8kxwwvAj6UTugUqU8Vk4WPc_XMT2FTwS8qBK_vTueHjqdVCq9zBtUu_YlG7z1GQa9k-mbPUrqCjzN_uW7SMsXPewHhjx383m8-WHJPeoENDyIuSS8ERZbu1dcfD3jJCO9XU4uPTED-rytd6w7KPDuvQsBCr1iT9a85Gb4PWZM4T0YI9Q7erZdvWlAOD2PmsS7ngQbvbPx-7ycnhy9Dk7kPVr6C70rdmo7V7UEPoMNNL0R3oO85lvfPBbIR70-P8w8X3CXPH0znDuyzoK8_g-LvN6XDj2hJsA7HiUlvb_ZQbzaa-q7px1jvX9ZkLpuvvS7O7PVu-3YiD1iELu7JF6eu2L46L1TGGc7ldw8vTzxwb1D6ea7ew2WPWS-bT3Lq8a6EiIvPeT-Pr06eZG7jk9SvUkgj72zddM7x7iXvUxli71yAq47KVvkvRv3IT1eq5C7U1q_PVX53rwHsr-7BKZYPeFwMD3yIIO70E8nvXeihL2h94Q6RVOsPEuvDT7ZeoY6jSN7PFXvOrywkUE7CyToPasBL73sydM5eaenO4CKWb2mCVa2jLrWPSZxhj1jRL24RYytPRoYmT3rDwi5O3UjvMCBZD1i4i25o9IjPZ5Pk71WCkM5E6swvaF6pb0kdV24y6LwvFtCHr43BeM55357u5jI4Dxllgu5S7F-vN16zTzFqXe5e0IgPR2mYr2GVAu4fxFZPV5NeTyWQK83hIYZPZEhrLxhj8C4C2EFPnIYzDzDLj84n1XJuqrkjb3onBU5hjNkvTXNHjwPbVm4Mw-KvdPIHT0Sx8q4Rj86PfTOhz1s_re4n887vfgAiD2xlKg3-oG2PRv6Ij0G4n03h0VWPdNlpr2_KPQ2LueSPRbgNj0nJxa5ZVPOvcLoqDz-Mug3jyh-vbh_e72vxee3lRESPWN4srobg4E4h-mxPNfqAT3O9KQ2DZ6jPU7I2Lx2H7-4JTIdPcyH1rxEGIw4FW9JvSnsEr603kw3kszqvYYhcjwUg5A4hhAhPVx3073e85u3QstfPWMatz1ukI442SUqPFZaEL2ZXMW4LWclvJ7iwj2wfCu4-PsHvKXQgzxQ4zc4IAA4E0AJSG1QASpzEAAaYBYPADktGegI_BDv1f_xGvQY6_3jwej_9wQA9DQTxhIpzcn-Av9Kz_QItAAAACjiFwoTAPpaFeICSyPhB9Pu9Bf6f-AAz9gNLAHxJSn-NfgnFroPOwDRBAwK7_LQSdz1KSAALfAYOTs4E0AJSG9QAiqvBhAMGqAGAABYQgAAFMIAADxCAACMwgAAoEAAAKBAAABwQgAAgMAAAMDAAACoQQAA2EEAAEjCAAAwwgAAMMEAALBBAABAwQAAHEIAAMDBAADgQQAAQMAAANDBAAB4wgAADMIAAPhBAABAwQAAOEIAACBBAACAQAAAEEEAAKBAAACIwgAA0EEAAMDBAABAQQAAOMIAABBCAAAIQgAAsEIAAATCAAAwQQAALEIAAGBBAACEQgAA6MEAAEBBAACowgAAgEEAACBCAAAUQgAAEEIAADDBAADgwAAAqMEAADDBAABgQQAA-EEAALzCAACAwQAAoEEAAI5CAAD4QQAAbMIAAADBAABEwgAAQMAAAKzCAACAwQAAVMIAAEDBAABwwgAAkEIAAJhCAACGwgAA6EEAAJDBAACKwgAAaMIAABRCAAAgwQAADEIAAETCAADAQQAAIEEAAMhBAACAPwAA-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_AAAwQQAADEIAAGTCAAAAwgAAYMEAADzCAACAwAAAQMAAACTCAAAMQgAAEEEAAADAAAD4QQAAQMIAADxCAABwwQAAPMIgADgTQAlIdVABKo8CEAAagAIAAPg9AAA8PgAA2L0AAES-AACCPgAA3j4AAMg9AABTvwAADL4AAKA8AAB0PgAARL4AALi9AACoPQAABL4AAOC8AADePgAA4LwAABw-AAATPwAAfz8AACy-AACyPgAAyL0AAFS-AADIvQAAmL0AAIA7AAAcPgAALD4AAL4-AAAQPQAAHL4AAHw-AADYPQAAJD4AAOA8AAC4PQAAF78AABm_AAAQvQAA4DwAAMI-AADYPQAAUL0AALi9AAAUvgAAyL0AAEw-AABAvAAARL4AAKK-AACqPgAAlj4AAGy-AABwPQAAST8AACS-AAAkvgAARL4AAMq-AACWPgAAJD4AABQ-IAA4E0AJSHxQASqPAhABGoACAAAcPgAAmL0AAOg9AABDvwAAgLsAAAS-AADyPgAABL4AAAQ-AACoPQAAbD4AADC9AACIPQAAqr4AABw-AADgvAAAQLwAAPo-AACovQAArj4AAKi9AAAwPQAAJL4AAEC8AABAPAAAPL4AAMi9AAAwvQAAgDsAAFA9AAAQPQAABD4AAAS-AADovQAALD4AAOA8AABEPgAAoLwAAMq-AAB8PgAAcD0AAOg9AADYvQAAPD4AAAy-AACAuwAAf78AAEQ-AAAwPQAAjr4AAPi9AAAwPQAADD4AACS-AAC4PQAAFD4AAEA8AACivgAAML0AACy-AACovQAAML0AAIi9AAAkPiAAOBNACUh8UAEwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=_HSarWXeH80","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["4170773144034970027"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"421671371"},"14185545799850333918":{"videoId":"14185545799850333918","docid":"34-7-8-Z079B07606E06B24D","description":"I know what your thinking... The circumference isn't a function because for a every value of x (in its domain) it outputs two values of y!!! A vector-valued function!!! (Or simply vector...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3441900/33234f2e69f28cd9a63ed6b2bb4a16ec/564x318_1"},"target":"_self","position":"15","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DKVaRN8zGyds","linkTemplate":"/video/preview/14185545799850333918?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Circumference IS a Function!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=KVaRN8zGyds\",\"src\":\"serp\",\"rvb\":\"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_6AQD8BQD2-QYJDgb8AfT6-gIJ_wAA-PUB8wMD_wDyAg76BwAAAPL-DQIGAAAABPoC_AT9AQD_B_z2BAAAAAb0_fsEAAAABA78BAoAAQHu8_0LA_8AABf6_gwAAAAA9QoD-gIAAAD9CAgFAAAAAAb6-v379v4AIAAtfGXeOzgTQAlITlACKnMQABpgDxkAGSgOAADqHuv15ewSBvMj_PXW_AD_9gAQIA7mBf_RwAzs_znVAwjGAAAA_Qb8BR4A5kwY1gQR_S_h0_AO_h9_JQr7HfH1AerO7iU6EfnwBPw0AP0J-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-AADGPgAAgLsAAAG_AACevgAAbD4AAEw-AAAEvgAA6D0AACw-AAAwvQAAMD0AAKA8AACIPQAAsj4AAL4-AAB_PwAAEL0AAIo-AABQPQAAir4AABQ-AADgPAAAoDwAAOA8AAC4PQAABD4AAEA8AAAMvgAAND4AAAQ-AAC4PQAAMD0AAAS-AADKvgAAgr4AAI6-AABkvgAATD4AAJi9AABAvAAAoDwAAKC8AACIPQAA-D0AAGS-AABAPAAAMD0AADQ-AACiPgAAPL4AAOA8AAAlPwAA-D0AAEQ-AABMPgAAiD0AAOA8AAAkPgAAqL0gADgTQAlIfFABKo8CEAEagAIAAHS-AABAPAAAUL0AABe_AAA8PgAAiD0AACw-AACgvAAAEL0AAGw-AAD4PQAADL4AALg9AAA0vgAAiD0AAKC8AABEPgAAPT8AAAS-AAB0PgAANL4AABA9AAAcPgAAuL0AAOA8AAAcPgAAoDwAAIA7AAA0PgAAEL0AAFA9AADIPQAAkr4AADA9AADoPQAAmL0AAEw-AAAEPgAAZL4AAFy-AADIPQAAQDwAAEA8AADgvAAALL4AAFw-AAB_vwAAML0AAHy-AABwPQAA4DwAABA9AAB0PgAAyD0AADC9AABAvAAAmD0AABC9AACIPQAAcL0AAEA8AABcvgAAcL0AAIA7IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=KVaRN8zGyds","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["14185545799850333918"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"12981056171251245658":{"videoId":"12981056171251245658","docid":"34-5-16-Z85BF95D4A2B1D6EB","description":"#logarithmicfunctions #logarithmicequations #equations #maths #math #mathematics #mathforfun Today we are going to solve two logarithmic equations!!! log(x^2) = (logx)^2 and ln^2(x) - ln(x) = 2 !!!","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3459340/1c52c24f0fce4494d634baec6276a6bb/564x318_1"},"target":"_self","position":"16","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DAxv1xKgyxGE","linkTemplate":"/video/preview/12981056171251245658?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Try to Solve these Logarithmic Equations!!! #logequations","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Axv1xKgyxGE\",\"src\":\"serp\",\"rvb\":\"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-_v7BQD1CQ4JBAX9AQILAP_4__8A-v4B-QQD_wD8_wcDAQAAAP8JAfcAAAAA8vn3_PoAAAANDf3--AAAAAIAA_4CAAAADP8F-v8BAAD_8vwBA_8AAAr2AQYAAAAA-AAAAQb6_wDuEgoBAAAAAAX6-v779v8AIAAtWZHiOzgTQAlITlACKnMQABpgBw4AFi0H4QDo_OLN_g8i7vEA7PHV7wAG8wD9IyPN_BTLvvL5_0PFBg66AAAAMP7nBfQA-FYB6-5DGMn1l90BFv5_BQXrAA4G9c0A2RRL-Avl6w43AMoF5QD_DNU86v8nIAAtI4NAOzgTQAlIb1ACKq8GEAwaoAYAAMBBAABEwgAAPEIAAIrCAAC4QQAAoMAAAChCAACowQAAqMEAABDBAADQQQAAHMIAADzCAAAAwQAAcEEAAIC_AAAcQgAAIEEAAIBAAACAwQAAoEAAAHDCAAAAwgAAmEEAAGDBAAA8QgAAAEIAAHBBAACAvwAAwEAAAKTCAAAUQgAAYMEAAARCAADgwQAAqEEAABBCAADGQgAAwEAAALhBAAB8QgAAqEEAAJhCAACAvwAAEMEAAGDCAAAEQgAA-EEAAMBBAAAEQgAAsMEAANDBAADwwQAAcMEAADhCAAC4QQAAqMIAAIBBAAAEQgAAokIAACxCAAAcwgAAAMEAACTCAAAQwQAA0sIAAPjBAAC4wQAAQEAAAIDCAABMQgAAmkIAAILCAACIQQAAQEEAAJbCAAC-wgAAGEIAADDBAAA8QgAAyMEAABhCAACgQQAAkEEAAHBBAAAgQgAAuEEAAIhCAAAUQgAAVMIAAHzCAACgQgAAaMIAADTCAACQwQAAgMEAAGDCAAAAQQAAmEIAACRCAABswgAAIEEAAAAAAACwwQAA0MEAAIBCAACIQQAAgEAAAKDBAACMQgAAKEIAAMjBAADowQAABEIAABjCAAA0QgAALEIAAHzCAACgwAAAsMEAACDCAACiwgAAMMEAADDCAACowQAAWMIAAFzCAAAAQQAA6MEAAIA_AAC4wQAAyEEAAJDBAACWQgAAFMIAAEBCAACQwQAA4EAAAKhBAAAEwgAAGEIAAADAAACgQAAAGMIAAJRCAACYQQAAtMIAAGRCAAAAwQAAEEEAAABBAACgQAAAgL8AALjBAABgQQAAAMAAAPjBAACqwgAATMIAADxCAAA4wgAAYMEAAJhBAAAcwgAAkEEAAJBBAAAwwQAAVEIAAIA_AABAwQAAoMAAAAAAAACAwAAACMIAAGjCAABQQQAAOMIAAIzCAADIQQAAqEEAAKbCAACgQAAAAMEAAAxCAADIQQAAOMIAAEDBAACYwQAAPMIAAABBAACAwAAAKMIAAHhCAACgwAAA6MEAAFBBAAAMwgAAWEIAAJDBAABwwSAAOBNACUh1UAEqjwIQABqAAgAA-D0AAMg9AACevgAAZL4AAFA9AADuPgAAnj4AAEO_AABUvgAA2D0AAJI-AACivgAAhr4AAAw-AADGvgAADL4AAKY-AADovQAAEL0AAEM_AAB_PwAAjr4AAIA7AACavgAAQDwAABA9AABUPgAAbD4AANY-AAAMPgAAzj4AAFC9AAD4PQAAfD4AABQ-AACYvQAAhj4AAOA8AAD-vgAAyr4AAPK-AADovQAAdD4AANi9AAAUPgAAqD0AADw-AADGvgAAyL0AAOg9AAAQvQAAxr4AALg9AADYPQAA0r4AAKg9AAAlPwAAbL4AAFA9AAD4PQAAdL4AAMo-AACiPgAAdL4gADgTQAlIfFABKo8CEAEagAIAABS-AABEPgAAQDwAACu_AADovQAAED0AANo-AACgvAAAcD0AAJ4-AABcPgAAEL0AAIC7AADIvQAAuD0AAJi9AABwvQAAKT8AAHC9AADuPgAAcL0AAHS-AACoPQAABL4AAOC8AAAcvgAAPL4AAAw-AACgvAAAmL0AAKA8AACYPQAADL4AABA9AAC2PgAAVL4AAHw-AABUPgAAXL4AABQ-AABkPgAAML0AAAS-AAAQvQAAML0AAOg9AAB_vwAA2D0AAKC8AACgvAAAqD0AACQ-AAAcPgAATD4AAIA7AAD4PQAAcL0AADy-AADIPQAAiL0AAIg9AADgPAAA4DwAANg9IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=Axv1xKgyxGE","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12981056171251245658"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"454546382532184583":{"videoId":"454546382532184583","docid":"34-7-17-ZFA1BFDC35C228881","description":"#matrices #rotationmatrix #linearalgebra #mathproof #proof #maths #math #mathematics #mathforfun Today we are going to derive the Rotation Matrix!!! This linear transformation is used to rotate...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4569018/c04a394a3b681ad8ab2c6e2920b322a4/564x318_1"},"target":"_self","position":"17","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMiGd2hZkoPE","linkTemplate":"/video/preview/454546382532184583?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Derivation of the Rotation Matrix in 2 Dimentions!!! | Linear Algebra","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MiGd2hZkoPE\",\"src\":\"serp\",\"rvb\":\"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_E-MBggQkAYAEKyqLARABGniB-wPzBwAAAPkHCwf4Bv0CGgAGCgcBAQD5_PEDBQT-APPt__UB_wAA_gYECgQAAAABCAH-8f4BAAj89f34AAAADvz8BvsAAAAXBvX5_gEAAO8IEfwDAAEAAAUI_v8AAAAADgH5_f8AAPIBBfsAAAAABgYDCf8AAAAgAC2aTNQ7OBNACUhOUAIqcxAAGmDbBgAgFQf04Q0O6tYM2_X4_fzvEMbqANjbAA4HCdsD-9nZ8wn_Q9UG-b8AAAAK7foUMgDXU-zj1ksf7u3V0vQMGH8LA_0E_QXtzg8bDzfhKOcIDCYA5_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_AAAwvQAAV78AAOq-AAAQPQAAdD4AAEy-AAB0PgAAHD4AABu_AADIvQAA-j4AABw-AACmPgAA7j4AAH8_AAAwvQAA2D0AAAQ-AABcvgAAyL0AAJI-AADavgAAVD4AAMg9AAC6PgAA6D0AAFy-AAAcvgAAcL0AABA9AACAuwAAqL0AALa-AAAFvwAAor4AAJY-AAD4PQAANL4AAHy-AACgPAAAqD0AANq-AADgvAAAXL4AAAw-AAAcvgAAyD0AANg9AACYvQAAVL4AAGE_AABMPgAAED0AAEC8AAAsvgAAcL0AAHC9AACyviAAOBNACUh8UAEqjwIQARqAAgAALL4AACQ-AABwPQAAQ78AAKK-AAAkvgAApj4AABA9AABUPgAAiD0AABA9AAAQvQAAiL0AAEC8AAAMPgAAoLwAAEC8AAARPwAA2D0AAAE_AADgPAAAnr4AAJi9AAAsvgAADL4AAKC8AABwPQAAqD0AAKA8AAAkPgAAiL0AANg9AACovQAABL4AAAQ-AACoPQAAgj4AAJI-AAAUvgAAuD0AADQ-AACovQAA4DwAACw-AAD4PQAAJD4AAH-_AAD4vQAAVL4AALg9AAC4PQAATD4AADw-AACYPQAAUL0AACQ-AACYvQAADL4AADQ-AAC4vQAAlj4AAIg9AADIvQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=MiGd2hZkoPE","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["454546382532184583"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false},"15903306474987135763":{"videoId":"15903306474987135763","docid":"34-1-1-Z0237E36F62664ADE","description":"#calculus #derivative #logarithmicfunctions #limits #derivatives #mathproof #proof #maths #math #mathematics #mathforfun Let's prove that the derivative of ln(x) is 1/x!!! I'm JonnyMath and...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4887479/420d1a74e634c88729caa338b9df0106/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/YJaWMAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DPtfdVwPNFvY","linkTemplate":"/video/preview/15903306474987135763?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"The Proof that the Derivative of ln(x) equals 1/x!!! | Limit Definition of Derivatives","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=PtfdVwPNFvY\",\"src\":\"serp\",\"rvb\":\"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_gD8ABEFBwf8AgT4DgH4_v0A4QH2_wr8AgDr-wP6A_8AAP0FCQr5AAAACfX3_vb-AAAFBwf49wAAABAD_v_8AAAACwb2Cf4BAAD49fQJBP8AAP8C__P_AAAA_AUO7wAAAADuDPwFAAAAAP4D_AD79P4AIAAtMJjKOzgTQAlITlACKoQCEAAa8AFx_Ob71vXkAa9PAAGB29z-mQ8i_yIa7gDuHwv_6u3mAeke1gDCzgAAruoeAKUy9v8Htsz_NeQFAErj4_8L3ysA5SUfAUjQ_AFvCCMAG_X1AdkpN_0e9RMAH-QOAAvSD_2-7xT_FNH6_u6w3AEVzR3-BRACBjHY6_gEtRUA4fkC-RL87QXl5vkG9-_5-t3NLwMd6O37-Rvl_84cBAU3Be77penr__lI3_kG_QoLGN8q_fvl5Pb7Lgr_8P_TCeE0A_gmHhAKuf4C8xAhEQAh1_4B9-vwDOHVBhXt8_cR6ZUKCdrh8w3OJxL68BkiCBC3B_ogAC1wx_M6OBNACUhhUAIqzwcQABrAB3TsuL51JBK9SNoRvFotAL5BRZW8U7UbPGbBNL4rNVY9ozuIPFTXmz3PkpE8r7j2O7cNk74bVBM8G7QcvS0JUD7U-GA85mQYPURO37s8UJI9ypFJvROQYL1zSXY7dCVCPZrLsrkgGse9PbGzPBv2Cz7MTAQ8s3frPH3KAb6aP6Y8_7gYvLXgJb49qqu89_wVvXjACjwEtwS9xkqxPItO1j1fhoU9rr8APSBSgLpm1pQ77ITXvKXiOr3BKii8V6lKvQl5kz0N1sk8_I5hPPRhB73DDYi9Lp2FPAwjHT04Pbm8bzmNvA97hj3suZE9OaErvWKTqTtxKsi9yGqpvA1TK75csqY7Yro1vBsqmz1YnUY930wvuzVTazz1T4u80m8Au4VRGr1H4HS9IO_VvEsPmT0hGKy8P4gmu0FHGz5nDom9glDBO-Zb3zwWyEe9Pj_MPFuVlD3qDqi9MDCGvN3zdDvvDt88NfHROa-BBDvak_q7UFh7uxtLCL7TFlc66poDPMGj8rxZgUY9Z5OoPJADpb3DrIG9qOPvOgxWHL7C3Qm-m8Tmupmz47zeVAU8T4-Su3cvBz4Ie269k-Q5PGoxiL32H169aXQDuYWozL3sI6G9eteLO94C6b2Yk4Y86eSYuihCLz3Wn6s6gE3Ou3iJID08HPg8m8iKO7jSBj0IVtW9ProSukVTrDxLrw0-2XqGOqM8Fjwj3c88pz0EPJumtDy3JLe9awBCu0DBJb0p1pS9iD-XOcutuj1zGe08xEcMOkdPtj0W0is8NM6HOPBOXj1zsj49wVZCOUmOqjwNNxC-6mFNORr4VbsuvFy97z65OMui8LxbQh6-NwXjOaUVXzyG-Yw93_cnOZ1ESb1uOYI90I-OOen2rbwlO_a9ubzMOPFCoTt1YHQ9pbhsOTTrpj1XZA-9JEs4ORsvPT2wuXk9ylNIuXEHRb1nJCe9Qh_cN_4bxbwTKpe7SsyGuBr4hr3PWEq9LnLFt86vwTxJk8w930SHuOPci7zGDck8k8OPtnLCZD3f_wI9bA0MOIHtiz0Iyk2956ygOInwuj3DEaQ854yguMrhA74Q1x48l_1ON9Dbc72P4ly9GwqWtx7QyL3SwHK7QZsquWiCWbu6fJA9wtZnODvanT1ZUUO9cZXTuJernzxjZc-8icrWN3-Jg70O2PW9C9ESuJLM6r2GIXI8FIOQOLhzAT3MK4K9L2Z0uLnBdTwt7Ak-hifnOPJ00zxeKMW8Q9MBuWKCWr1bIGY9ZDW7N2nsAb0MTeM8P2mTOCAAOBNACUhtUAEqcxAAGmBE-ABMEhzIIOAk6QC_5SXwxrvx_9Ht_xDY__Qg1PYABuDBJun_L7QIAaEAAAAxEAPz4QAZf9nd3kL5FwXWkLgOOXQA3xi9AgbftNQKDELvCwMGEFUA292ySw3z1ijwQyEgAC0s3hc7OBNACUhvUAIqrwYQDBqgBgAAsEEAAIDCAABQQgAAtsIAANhBAACwwQAAREIAAEDAAAAAwAAAAEEAABDBAABAwAAAIMEAAEDBAADIQQAAcEEAAJhBAAAAwAAAEEEAAIC_AAAAwAAAKMIAALDBAACAvwAAAEAAABRCAADQQQAAgD8AAHBBAABAwQAApsIAABDBAADowQAAqEEAAIDAAAAUQgAAkEEAAHxCAACAPwAAAEIAAExCAACgQAAAPEIAAKjBAADYQQAAksIAAABBAAD4QQAAAEEAAFBBAAAQwgAAoMAAAFDCAACAvwAAqEEAAERCAADawgAAYMEAAJhBAAC8QgAA4EEAAADCAADAwQAAbMIAAIDBAAAAwwAAyMEAACTCAADAQAAATMIAAJxCAAB0QgAAbMIAAHhCAACQwQAAOMIAABDCAADQQQAAcMEAAChCAAAYwgAAEEIAAIA_AAAgwQAAIEEAAABAAAAMQgAATEIAAKBBAAAAwQAAlMIAAKJCAABowgAADMIAAAhCAABAwQAAYMIAABBCAACaQgAAiEIAABTCAABAwAAAIMEAACTCAABgwQAAyEEAAFxCAADgQAAAQEAAADxCAABIQgAAwMEAAMDAAADQQQAAMMIAAIJCAAAoQgAAgMIAAIDAAAAgwgAA8MEAAGzCAACgwAAAPMIAAABAAACAwgAAiMIAAEBAAAAQwgAAiMEAAMjBAAAIQgAAQMAAAKhCAAAcwgAAmEIAABBBAACwwQAAgMEAADjCAAC4QQAAgD8AAKBBAAD4wQAAbEIAACRCAADowQAA0EEAAExCAABAQAAA4MAAAJDBAACAPwAA4MEAAABCAAAAQQAACMIAAEDCAABUwgAA8EEAAGTCAACAvwAAqEEAAHzCAAAQQQAA2EEAAIA_AADgQQAAUEEAAKjBAABwwQAAIEEAAIBAAABwwgAAusIAAFBBAACMwgAAZMIAAEBBAABoQgAAosIAAADAAACYQQAAoMEAADhCAAAYwgAAMMEAABjCAADowQAALEIAADBBAADwwQAA8EEAABBBAAAIwgAALEIAAPjBAADgQQAA4MAAAFDCIAA4E0AJSHVQASqPAhAAGoACAADIPQAAZD4AABw-AABwvQAAhr4AAKg9AACovQAAA78AAPi9AABAPAAABD4AAHC9AACAOwAAHD4AADS-AAA0vgAA6L0AADA9AADoPQAAXD4AAH8_AAAwPQAA-D0AANg9AABcvgAAED0AADC9AACovQAA2D0AAIA7AACgPAAAQDwAADC9AABQvQAAUL0AABC9AABkPgAAdL4AAIa-AAC-vgAAPL4AAGy-AABMPgAAUL0AAHA9AAAQvQAAUD0AAOi9AABQPQAATL4AAGQ-AAAcPgAAML0AABQ-AACevgAAML0AAAs_AAAwvQAAqD0AAFQ-AAD4PQAALL4AAGw-AAAcviAAOBNACUh8UAEqjwIQARqAAgAAjr4AABw-AACYPQAAR78AACy-AADgPAAAxj4AAOg9AAD4PQAAdD4AAKA8AACAOwAAcL0AAKA8AABQPQAAML0AAKi9AAAZPwAAUL0AAM4-AACovQAAhr4AAEC8AAAcvgAAQLwAAHA9AAAwPQAAUD0AAFA9AADgPAAAyL0AAKA8AAA0vgAAHL4AANg9AAAwvQAA2D0AANg9AAAUvgAAgDsAAIC7AABQPQAAJD4AAHA9AAAQPQAAiL0AAH-_AADYPQAAuL0AABQ-AAAwvQAAhj4AAKI-AAAsPgAAmL0AAIg9AAAwvQAAHL4AAJg9AABsvgAAPD4AABC9AAD4PQAAgDsgADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=PtfdVwPNFvY","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1920,"cheight":1080,"cratio":1.77777,"dups":["15903306474987135763"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false,"videoContentId":"2611049270"},"18157450159127165407":{"videoId":"18157450159127165407","docid":"34-4-7-Z031B21769F2A8C60","description":"#calculus #maths #math #equation #mathforfun Can you solve this trigonometric equation!!! I'm JonnyMath and welcome to my youtube channel. If you enjoyed my video please subscribe to my channel...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3491949/6a9d6089e1e281b23cbb92faa8284ab0/564x318_1"},"target":"_self","position":"19","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3DMpvoHUIWz_8","linkTemplate":"/video/preview/18157450159127165407?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Try to solve this Trigonometric Equation!!!","related_orig_text":"JonnyMath","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"JonnyMath\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=MpvoHUIWz_8\",\"src\":\"serp\",\"rvb\":\"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_P8BAPwADA_4CfwCEAgDC_YBAQD1APX0AwL_APcBEwEBAAAA9Qr8-QQAAAD9AgH3Av4AABAB9_wEAAAACQL4AP0AAAARAPzw_wEAAPz0DPwCAAAA_Pb9AgAAAAAABAT2-_8AAP4J_wMAAAAABgMBAAAAAAAgAC3J1tQ7OBNACUhOUAIqcxAAGmAJEQAGLP6uAxgJ4d_k_RkV8AT_9L0IAPL_ACwm_u09Ec_JCw8AQ83_ALkAAAAi5PX8AgAEUQ_hFygm8PXD1PIiDH8JCbE08PYQztsHRTr_7enfHgMA8hQWByYMCiY1HxkgAC3YDEA7OBNACUhvUAIqrwYQDBqgBgAAWMIAAKhBAACwwQAALMIAAJBCAADQQQAA-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-EEAAIhCAACoQQAAEMEAAOjBAAAwQgAAIEEAAEBAAABQQQAAkMIAAOhBAADAQAAANEIAAIBAAABQwQAAfMIAAFRCAADYQQAAMMEAACDBAAAcwgAAAEAAAAjCAACUQgAAMMEAAADAAADAwQAAKEIAAHzCAACQwQAAJMIAAILCAADAQAAAAMAAAIBCAAAwwQAAXEIAAEBBAADAwQAAgD8AAEBCAADYQQAA4MEAAEjCAAAQQQAAFMIAACBBAABQQQAACEIAAIzCAAB4wgAADEIAAIjCAADwQQAAgMAAACTCAADQwQAAMMIAAFxCAAD2QgAAKEIAABTCAAAAQQAANEIAANjBAAD4wQAAgMEAABBBAACIwQAAhMIAAKDBAACIQgAA6MEAAKBAAAAQwgAA-EEAAIhBAAAwQQAAYEEAANhBAADYwQAAEMEAALDBAADIwQAAmEEAADDBAAB8wgAAKEIAAEjCAAAEQgAAgMEAAChCIAA4E0AJSHVQASqPAhAAGoACAABcPgAAij4AAIC7AAAsvgAAuL0AAMY-AAAMPgAAF78AAKg9AAAkPgAAJD4AAAw-AACoPQAAgLsAAKa-AAA8vgAAhj4AAFC9AACGPgAAaT8AAH8_AACqvgAAyD0AAKo-AACAOwAABD4AAFQ-AAAkPgAARD4AAKY-AACoPQAAmr4AABQ-AACSPgAAVD4AACy-AACAuwAAmL0AAAG_AADKvgAApr4AAKi9AACSPgAAVL4AAEA8AAAQvQAAhj4AAKq-AADIvQAABD4AAKA8AAAsvgAAsj4AACw-AAC-vgAAMD0AAEU_AAB0vgAA4DwAAOi9AAAEvgAAtj4AABw-AACqviAAOBNACUh8UAEqjwIQARqAAgAAqL0AAHA9AAAkPgAAP78AABC9AABAPAAAmj4AABC9AACIvQAApj4AABQ-AAAQvQAA-D0AAOA8AADYPQAA6L0AAIi9AAA_PwAAMD0AAKY-AACovQAAZL4AAFA9AACgPAAA2L0AAGy-AAAwvQAA4DwAAEw-AADgPAAAgLsAADA9AABwvQAAqD0AAHQ-AAC4vQAAVD4AADQ-AAA0vgAAoLwAAOg9AAAcPgAAEL0AAIi9AAAQvQAADD4AAH-_AACaPgAAXD4AAOi9AACIPQAAiD0AAKo-AABkPgAANL4AAAw-AABQPQAAFL4AAAQ-AAD4vQAADD4AAHC9AAD4vQAAED0gADgTQAlIfFABMAk4AUoAYABoAA,,\"}","related_url":"http://www.youtube.com/watch?v=MpvoHUIWz_8","parent-reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18157450159127165407"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false,"censoredShock":false,"isShockDoc":false}},"dups":{"15579373268626704120":{"videoId":"15579373268626704120","title":"Simplifying a nice Radical Expression!!!","cleanTitle":"Simplifying a nice Radical Expression!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=cY7qoVhVcIk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/cY7qoVhVcIk?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":69,"text":"1:09","a11yText":"Süre 1 dakika 9 saniye","shortText":"1 dk."},"date":"18 nis 2023","modifyTime":1681776000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/cY7qoVhVcIk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=cY7qoVhVcIk","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":69},"parentClipId":"15579373268626704120","href":"/preview/15579373268626704120?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/15579373268626704120?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"7265179030197439060":{"videoId":"7265179030197439060","title":"What happens when you Rotate a Circle???","cleanTitle":"What happens when you Rotate a Circle???","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ZsbQ2IE2yTQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ZsbQ2IE2yTQ?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":548,"text":"9:08","a11yText":"Süre 9 dakika 8 saniye","shortText":"9 dk."},"date":"9 eki 2023","modifyTime":1696809600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ZsbQ2IE2yTQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ZsbQ2IE2yTQ","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":548},"parentClipId":"7265179030197439060","href":"/preview/7265179030197439060?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/7265179030197439060?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"17745934939424513010":{"videoId":"17745934939424513010","title":"You CAN multiply by dx! #SOMEpi","cleanTitle":"You CAN multiply by dx! #SOMEpi","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=ASrsAdKn2z8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ASrsAdKn2z8?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1176,"text":"19:36","a11yText":"Süre 19 dakika 36 saniye","shortText":"19 dk."},"views":{"text":"7,3bin","a11yText":"7,3 bin izleme"},"date":"15 tem 2024","modifyTime":1721001600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/ASrsAdKn2z8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ASrsAdKn2z8","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":1176},"parentClipId":"17745934939424513010","href":"/preview/17745934939424513010?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/17745934939424513010?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"13154334369488398059":{"videoId":"13154334369488398059","title":"New video soon + channel update! #\u0007[JonnyMath\u0007]","cleanTitle":"New video soon + channel update! #JonnyMath","host":{"title":"YouTube","href":"http://www.youtube.com/shorts/qE05kODo4Ug","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qE05kODo4Ug?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":163,"text":"2:43","a11yText":"Süre 2 dakika 43 saniye","shortText":"2 dk."},"date":"8 mayıs 2025","modifyTime":1746662400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/qE05kODo4Ug?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qE05kODo4Ug","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":163},"parentClipId":"13154334369488398059","href":"/preview/13154334369488398059?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/13154334369488398059?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15184473857985168725":{"videoId":"15184473857985168725","title":"An Infinite Radical Expression!!!","cleanTitle":"An Infinite Radical Expression!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=0laG3gFZjh8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/0laG3gFZjh8?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":120,"text":"2:00","a11yText":"Süre 2 dakika","shortText":"2 dk."},"date":"23 nis 2023","modifyTime":1682208000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/0laG3gFZjh8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=0laG3gFZjh8","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":120},"parentClipId":"15184473857985168725","href":"/preview/15184473857985168725?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/15184473857985168725?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16575189888419447164":{"videoId":"16575189888419447164","title":"Can You Solve this Basic Limit!!!","cleanTitle":"Can You Solve this Basic Limit!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=FxTG0jk9rZA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/FxTG0jk9rZA?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":113,"text":"1:53","a11yText":"Süre 1 dakika 53 saniye","shortText":"1 dk."},"date":"4 mayıs 2023","modifyTime":1683158400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/FxTG0jk9rZA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=FxTG0jk9rZA","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":113},"parentClipId":"16575189888419447164","href":"/preview/16575189888419447164?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/16575189888419447164?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9556648390115713841":{"videoId":"9556648390115713841","title":"Try to Solve this Trigonometry Problem!!!","cleanTitle":"Try to Solve this Trigonometry Problem!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=2fa5lsxX0Pw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/2fa5lsxX0Pw?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":319,"text":"5:19","a11yText":"Süre 5 dakika 19 saniye","shortText":"5 dk."},"date":"28 nis 2023","modifyTime":1682640000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/2fa5lsxX0Pw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=2fa5lsxX0Pw","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":319},"parentClipId":"9556648390115713841","href":"/preview/9556648390115713841?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/9556648390115713841?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11980151553554382392":{"videoId":"11980151553554382392","title":"i^i ?","cleanTitle":"i^i ?","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=hUQvSfHG9l4","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hUQvSfHG9l4?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":81,"text":"1:21","a11yText":"Süre 1 dakika 21 saniye","shortText":"1 dk."},"date":"4 ara 2023","modifyTime":1701648000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/hUQvSfHG9l4?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hUQvSfHG9l4","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":81},"parentClipId":"11980151553554382392","href":"/preview/11980151553554382392?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/11980151553554382392?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10157047143458296475":{"videoId":"10157047143458296475","title":"Easiest Proof of the Power RULE!!!","cleanTitle":"Easiest Proof of the Power RULE!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=CE1xO2U6MDw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/CE1xO2U6MDw?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":403,"text":"6:43","a11yText":"Süre 6 dakika 43 saniye","shortText":"6 dk."},"date":"2 nis 2024","modifyTime":1712016000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/CE1xO2U6MDw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=CE1xO2U6MDw","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":403},"parentClipId":"10157047143458296475","href":"/preview/10157047143458296475?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/10157047143458296475?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3422773235670504160":{"videoId":"3422773235670504160","title":"How to Solve this weird Equation x^x = 3 !!! | Lambert W function","cleanTitle":"How to Solve this weird Equation x^x = 3 !!! | Lambert W function","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=f9rnCD-19TY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/f9rnCD-19TY?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":318,"text":"5:18","a11yText":"Süre 5 dakika 18 saniye","shortText":"5 dk."},"date":"14 eyl 2023","modifyTime":1694649600000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/f9rnCD-19TY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=f9rnCD-19TY","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":318},"parentClipId":"3422773235670504160","href":"/preview/3422773235670504160?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/3422773235670504160?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3593639727493888081":{"videoId":"3593639727493888081","title":"If you still don't Understand the Definition OF A Limit this video is for you!","cleanTitle":"If you still don't Understand the Definition OF A Limit this video is for you!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Q1xlvT_XhjI","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Q1xlvT_XhjI?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1524,"text":"25:24","a11yText":"Süre 25 dakika 24 saniye","shortText":"25 dk."},"date":"22 nis 2025","modifyTime":1745280000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Q1xlvT_XhjI?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Q1xlvT_XhjI","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":1524},"parentClipId":"3593639727493888081","href":"/preview/3593639727493888081?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/3593639727493888081?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15843553472473710229":{"videoId":"15843553472473710229","title":"This Equation is Cruel!","cleanTitle":"This Equation is Cruel!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=brp9noWl7R8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/brp9noWl7R8?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":175,"text":"2:55","a11yText":"Süre 2 dakika 55 saniye","shortText":"2 dk."},"date":"22 şub 2024","modifyTime":1708560000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/brp9noWl7R8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=brp9noWl7R8","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":175},"parentClipId":"15843553472473710229","href":"/preview/15843553472473710229?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/15843553472473710229?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"4170773144034970027":{"videoId":"4170773144034970027","title":"Solving two Impossible equations!","cleanTitle":"Solving two Impossible equations!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=_HSarWXeH80","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/_HSarWXeH80?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":443,"text":"7:23","a11yText":"Süre 7 dakika 23 saniye","shortText":"7 dk."},"date":"19 şub 2024","modifyTime":1708300800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/_HSarWXeH80?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=_HSarWXeH80","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":443},"parentClipId":"4170773144034970027","href":"/preview/4170773144034970027?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/4170773144034970027?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"14185545799850333918":{"videoId":"14185545799850333918","title":"The Circumference IS a Function!!!","cleanTitle":"The Circumference IS a Function!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=KVaRN8zGyds","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/KVaRN8zGyds?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":782,"text":"13:02","a11yText":"Süre 13 dakika 2 saniye","shortText":"13 dk."},"date":"12 haz 2024","modifyTime":1718150400000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/KVaRN8zGyds?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=KVaRN8zGyds","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":782},"parentClipId":"14185545799850333918","href":"/preview/14185545799850333918?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/14185545799850333918?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12981056171251245658":{"videoId":"12981056171251245658","title":"Try to Solve these Logarithmic Equations!!! #logequations","cleanTitle":"Try to Solve these Logarithmic Equations!!! #logequations","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Axv1xKgyxGE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Axv1xKgyxGE?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":369,"text":"6:09","a11yText":"Süre 6 dakika 9 saniye","shortText":"6 dk."},"date":"2 eyl 2023","modifyTime":1693612800000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/Axv1xKgyxGE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Axv1xKgyxGE","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":369},"parentClipId":"12981056171251245658","href":"/preview/12981056171251245658?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/12981056171251245658?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"454546382532184583":{"videoId":"454546382532184583","title":"Derivation of the Rotation Matrix in 2 Dimentions!!! | Linear Algebra","cleanTitle":"Derivation of the Rotation Matrix in 2 Dimentions!!! | Linear Algebra","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MiGd2hZkoPE","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MiGd2hZkoPE?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":227,"text":"3:47","a11yText":"Süre 3 dakika 47 saniye","shortText":"3 dk."},"date":"10 haz 2023","modifyTime":1686424915000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MiGd2hZkoPE?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MiGd2hZkoPE","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":227},"parentClipId":"454546382532184583","href":"/preview/454546382532184583?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/454546382532184583?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"15903306474987135763":{"videoId":"15903306474987135763","title":"The Proof that the Derivative of ln(x) equals 1/x!!! | Limit Definition of Derivatives","cleanTitle":"The Proof that the Derivative of ln(x) equals 1/x!!! | Limit Definition of Derivatives","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=PtfdVwPNFvY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/PtfdVwPNFvY?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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":238,"text":"3:58","a11yText":"Süre 3 dakika 58 saniye","shortText":"3 dk."},"views":{"text":"27,1bin","a11yText":"27,1 bin izleme"},"date":"21 mayıs 2023","modifyTime":1684627200000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/PtfdVwPNFvY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=PtfdVwPNFvY","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":238},"parentClipId":"15903306474987135763","href":"/preview/15903306474987135763?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/15903306474987135763?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18157450159127165407":{"videoId":"18157450159127165407","title":"Try to solve this Trigonometric Equation!!!","cleanTitle":"Try to solve this Trigonometric Equation!!!","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=MpvoHUIWz_8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/MpvoHUIWz_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":"d3d3LnlvdXR1YmUuY29tO1VDakt6cW8wZ2V4enJrZXMzMFk2MFdwZw==","name":"JonnyMath","isVerified":false,"subscribersCount":0,"url":"/video/search?text=JonnyMath","origUrl":"http://www.youtube.com/@JonnyMath","a11yText":"JonnyMath. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":95,"text":"1:35","a11yText":"Süre 1 dakika 35 saniye","shortText":"1 dk."},"date":"13 nis 2023","modifyTime":1681344000000,"isExternal":false,"player":{"embedUrl":"https://www.youtube.com/embed/MpvoHUIWz_8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=MpvoHUIWz_8","reqid":"1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL","duration":95},"parentClipId":"18157450159127165407","href":"/preview/18157450159127165407?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","rawHref":"/video/preview/18157450159127165407?parent-reqid=1773377341058631-870990081678876299-balancer-l7leveler-kubr-yp-vla-200-BAL&text=JonnyMath","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0x906f9600bf4","isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"8709900816788762997200","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":"JonnyMath","queryUriEscaped":"JonnyMath","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"}}}