{"pages":{"search":{"query":"Aşkı Matematik","originalQuery":"Aşkı Matematik","serpid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","parentReqid":"","serpItems":[{"id":"12321900368532326500-0-0","type":"videoSnippet","props":{"videoId":"12321900368532326500"},"curPage":0},{"id":"10319195063190897682-0-1","type":"videoSnippet","props":{"videoId":"10319195063190897682"},"curPage":0},{"id":"16714640358634147761-0-2","type":"videoSnippet","props":{"videoId":"16714640358634147761"},"curPage":0},{"id":"16234029257020634112-0-3","type":"videoSnippet","props":{"videoId":"16234029257020634112"},"curPage":0},{"id":"R-I-113683-5-0-4","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":4,"grab":"dEHFn2vEsSBNYXRlbWF0aWsK","statId":4,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"4250810611754735177"}}},"isAdult":false,"position":4,"placement":"empty"},"curPage":0},{"id":"16035978749579589264-0-5","type":"videoSnippet","props":{"videoId":"16035978749579589264"},"curPage":0},{"id":"3449692908467539404-0-6","type":"videoSnippet","props":{"videoId":"3449692908467539404"},"curPage":0},{"id":"2180775554176497773-0-7","type":"videoSnippet","props":{"videoId":"2180775554176497773"},"curPage":0},{"id":"8792142232835806245-0-8","type":"videoSnippet","props":{"videoId":"8792142232835806245"},"curPage":0},{"id":"8231723255981188317-0-9","type":"videoSnippet","props":{"videoId":"8231723255981188317"},"curPage":0},{"id":"16891702822552942751-0-10","type":"videoSnippet","props":{"videoId":"16891702822552942751"},"curPage":0},{"id":"R-I-113683-5-0-11","type":"direct","props":{"advRsyaActivateParams":{"pcodeParams":{"blockId":"","renderTo":"","pageNumber":11,"grab":"dEHFn2vEsSBNYXRlbWF0aWsK","statId":11,"darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"4250810611754735177"}}},"isAdult":false,"position":11,"placement":"empty"},"curPage":0},{"id":"3744887238443797380-0-12","type":"videoSnippet","props":{"videoId":"3744887238443797380"},"curPage":0},{"id":"2543276411543972191-0-13","type":"videoSnippet","props":{"videoId":"2543276411543972191"},"curPage":0},{"id":"11143363477500217461-0-14","type":"videoSnippet","props":{"videoId":"11143363477500217461"},"curPage":0},{"id":"5435357210965559339-0-15","type":"videoSnippet","props":{"videoId":"5435357210965559339"},"curPage":0},{"id":"18012241951570850066-0-16","type":"videoSnippet","props":{"videoId":"18012241951570850066"},"curPage":0},{"id":"12018127332210729750-0-17","type":"videoSnippet","props":{"videoId":"12018127332210729750"},"curPage":0},{"id":"2090443934888886666-0-18","type":"videoSnippet","props":{"videoId":"2090443934888886666"},"curPage":0},{"id":"9213159813577661130-0-19","type":"videoSnippet","props":{"videoId":"9213159813577661130"},"curPage":0}],"filters":{},"serpFooter":{"linksGroups":[{"type":"geo","links":[{"label":"Columbus","title":"Columbus","url":"//yandex.com.tr/tune/geo/","logNode":{"name":"region"},"target":"_self","a11yLabel":"Bölgeniz Columbus","needRetpath":true}]},{"type":"help","links":[{"label":"Bize ulaşın","url":"https://yandex.com.tr/support/video/troubleshooting.html","logNode":{"name":"feedback"},"needRetpath":true},{"label":"Yardım","url":"https://yandex.com.tr/support/video/","logNode":{"name":"help"},"needRetpath":true}]},{"type":"settings","links":[{"label":"Ayarlar","url":"https://yandex.com.tr/tune/search/","target":"_self","logNode":{"name":"settings"},"needRetpath":true}]},{"type":"company","links":[{"label":"Şirket hakkında","url":"//yandex.com.tr/company/","logNode":{"name":"about"},"target":"_blank"},{"label":"Kullanım lisansı","url":"//yandex.com.tr/legal/termsofuse/","logNode":{"name":"license"},"target":"_blank"},{"label":"Gizlilik Politikası","url":"//yandex.com.tr/legal/confidential/","logNode":{"name":"confidential"},"target":"_blank"}],"a11yHidden":true}],"hasExtralinks":true},"currentPage":0,"prevPageToLoad":-1,"nextPageToLoad":1,"isTranslationsFilterEnabled":false,"isTranslationsDistributionEnabled":false,"isTranslationsDistributionOnboardingEnabled":false,"isFeedbackModalVisible":false,"viewerData":{},"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":"dEHFn2vEsSBNYXRlbWF0aWsK","darkTheme":false,"lazyLoad":false,"extParams":{"reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","ui":"desktop","yuid":"4250810611754735177"}}},"isAdult":false,"position":0,"placement":"search-list-right"},"curPage":0}],"quasarData":{"title":""},"isAdultQuery":false,"errorList":[],"layout":"list","retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3FchannelId%3Dd3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%253D%253D%26how%3Dtm%26text%3DA%25C5%259Fk%25C4%25B1%2BMatematik"},"main":{"_isInitial":true,"snippets":[],"serpFooter":{"linksGroups":[]},"isLoggedIn":false}},"internal":{"nonce":"5279556971856183561731","expFlags":{"video_depot_viewer":1,"video_instream_player_yaru_loader":1,"video_skeleton_doc_update":1,"velocity_delay_drawer":1,"video_instream_disable_hosts":"dzen.ru,ok.ru,vk.com,video.mail.ru","video_search_toggle_with_text":1,"video_single_vh_unmute":1,"video_update_d2d_after_clickout":1,"video_viewer_desktop_hide_tabs":1,"velocity_disable_suspense":1,"video_viewer_desktop_smart_layout":1,"dark_theme_desktop":"cookie","video_instream_player_config":{"vmapScenarioId":119,"category":2,"impId":7,"partnerId":2216089},"video_font_yandex_sans":1,"video_adv_new_show_rules":1,"video_resource_loader":1,"video_adv_config_desktop":{"before-player":{"regular":{"default":"R-I-2120168-1"}}},"video_nohost_full_filter_onboarding_enable":1,"video_skeleton_direct_under_player_update":1,"video_instream_player_config_porno":{"vmapScenarioId":119,"category":3,"impId":4,"partnerId":1988486},"video_vh_player_js":0,"video_dzc":0,"video_masthead_ratio":"180,4","video_searchdata_scheme":1,"video_single_vh_iframe":1,"velocity_delay_metrika":1,"video_viewer_desktop_visible_header":1,"video_partner_label":1,"video_direct_render_in_viewport":1,"video_skeleton_instream_update":1,"video_resource_loader_load_timeout":6000,"int_tr":1,"video_viewer_catch_sandbox_early_inits":1,"mmui_extended_escape_scheme":"searchdata.clips.0.authorname","spok":"id","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":{"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,"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_skeleton_direct_organic_update":1,"video_blender":1,"video_search_grid_enable":0,"video_depot_viewer_legacy_counters":1,"video_search_grid_direct_start":3,"video_instream_players_yaru_enable":1,"video_adv_new_show_rules_docs_count":1,"beauty_header_futuris_tab":9,"video_related_suggest_enable":1,"video_redirect_plug":2,"video_disable_serp_dzc":1,"video_direct_pos_id":"R-I-48058-73","dark_theme_desktop_default_pref":"system","video_search_toggle_enable":1,"video_viewer_desktop_blocks":1,"velocity_split_hydration":4,"video_duration_counter_new_format":1,"video_force_grid_on_premordie":1,"video_morda_header_nav":1,"video_nohost_full_filter":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_direct_pos":5,"video_direct_viewport_margin_desktop":700},"slots":["1302293,0,80;82359,0,41;1328907,0,32;1316373,0,83;1312966,0,57;138060,0,89;1332707,0,50;123830,0,65;1330085,0,76;1327348,0,31;1329498,0,24;1317796,0,60;1146115,0,9;1333297,0,46;188944,0,19;1327596,0,66;1330773,0,51;1327635,0,42;1314963,0,97;1002325,0,10;1328189,0,23;1106763,0,19;1330148,0,2;151171,0,52;126283,0,90;1281084,0,61;715045,0,1;287509,0,78;1006737,0,95"],"isYandexNet":false,"platform":"desktop","isEnLogo":true,"retpath":"https%3A%2F%2Fgs.yandex.com.tr%2Fvideo%2Fsearch%3FchannelId%3Dd3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%253D%253D%26how%3Dtm%26text%3DA%25C5%259Fk%25C4%25B1%2BMatematik","mordaUrl":"//yandex.com.tr/","videoSearchUrl":"https://gs.yandex.com.tr/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","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":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","backUrl":"//ya.ru","url":"https://gs.yandex.com.tr/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","isIntegrationTest":false,"isEndToEndTest":false,"shouldDropLogs":false,"seo":{"title":"Aşkı Matematik: 126 video Yandex'te bulundu","description":"\"Aşkı Matematik\" sorgusu için arama sonuçları Yandex'te","shareTitle":"Aşkı Matematik — Yandex video arama","keywords":"yandex video, video araması, çevrimiçi izle, dizi, film, müzik klipleri","hasPorno":0},"isEmbedded":false,"isPumpkin":false,"quasarCsrfToken":"yab3d6f1c920c9c566acf7fd9a5712fbe","reportFeedbackBaseProps":{"initEmail":"","metaFields":{"userAgent":"Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)","userTestids":"1302293,82359,1328907,1316373,1312966,138060,1332707,123830,1330085,1327348,1329498,1317796,1146115,1333297,188944,1327596,1330773,1327635,1314963,1002325,1328189,1106763,1330148,151171,126283,1281084,715045,287509,1006737","queryText":"Aşkı Matematik","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"4250810611754735177","uid":"0","isChildAccount":false}},"userTestids":"191768,238743,246500,253288,265553,270072,277807,274239,294077,278842,299121,313103,331010,338398,378416,359879,415420,644350,652605,645301,679708,689693,690449,696466,696473,722746,740796,776165,771230,781521,790415,801982,851450,886706,883477,900639,931367,937268,969063,935488,945314,989988,982463,991363,990185,1015567,1011895,1035320,1033956,1035241,1036046,1087297,1089355,1060131,1099741,1071879,1078818,1077703,1116602,1045814,1131637,1144233,1151726,1152703,1156933,1174275,1173000,1167408,1202006,1194718,1221235,1228280,1239596,1227266,1226860,1246754,1281110,1276447,1289213,1288208,1316370,1313283,1321224,1322475,1326469,1300570,1299604,1302293,82359,138060,1332707,123830,188944","regionId":20815,"isYaRu":false,"shouldUnmountSearchPageInViewer":false,"videoGlobalContext":{"platform":"desktop","isPumpkin":false,"language":"tr","user_time":{"epoch":"1754735206","tz":"America/Louisville","to_iso":"2025-08-09T06:26:46-0400","__is_plain":1},"isQuasarEnabled":false,"isHermione":false,"shouldStubImages":true,"enableVideoPreviewInHermione":false,"reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","tld":"com.tr","isEmbedded":false,"shouldDailyClickoutDzenInSerp":false,"shouldDailyClickoutDzenInViewer":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":"1302293,82359,1328907,1316373,1312966,138060,1332707,123830,1330085,1327348,1329498,1317796,1146115,1333297,188944,1327596,1330773,1327635,1314963,1002325,1328189,1106763,1330148,151171,126283,1281084,715045,287509,1006737","queryText":"Aşkı Matematik","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","userRegionName":"","userRegionId":"function() {\n return this._region.id;\n }","yandexuid":"4250810611754735177","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":"5279556971856183561731","disableDoc2DocHostLink":true,"shouldHideChannelLink":true,"enableSlowBufferingAlert":false,"enableSlowBufferingAlertDedup":false,"userConnectionRtt":149,"visibleHeader":true,"hideTabs":true,"animated":false,"isServiceLikeViewer":false,"isDoc2DocScrollFix":false,"smartDesktopLayout":true,"isAdvDisabled":false,"shouldShowVideoPlaylistPane":false,"isVideoTranslationSupported":false,"isSummaryDisabled":false,"isSummaryOnlineEnabled":false,"isPlainHeader":false,"shouldRenderBroSummaryApiContainer":false,"shouldDropLogs":false,"shouldUseBeacon":false,"hasAdBlock":false,"isVerificationMarkDisabled":false,"shouldPlayNonStopForExternal":false,"forceSlowBufferingAlert":false,"rknWarnHosts":[""],"postInstreamScreenDuration":2000,"minVideoDurationForInstream":120,"isInstreamEnabledInTesting":false,"useSendBeacon":false},"shouldShowAdvId":false,"isAdultQuery":false,"classQueryIsPornoWebScore":0.0004522748932,"showSensitive":false,"shouldReplaceHref":false},"user":{"tld":"com.tr","isEuDomain":false,"login":"","passportId":"","isLoggedIn":false,"locationName":"Columbus","isFamily":false,"yandexuid":"4250810611754735177","ugcCsrfToken":"","family":1,"isChild":false},"config":{"skinMode":"system","skin":"light","version":"releases/frontend/video/v1.1645.0#921b99f6001c1ee836cffbe42b089c60da2a959a","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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"}}},"isSkinInitedOnClient":false},"counters":{"params":{"useBeacon":false,"clickHost":"gs.yandex.com.tr/clck","pid":197},"dict":{"viewer":"2921","user":"538","info":"1275","sources":"1500","select":"775","close":"486","open":"842","source":"186","link":"513","click":"882","tech":"690","player":"1242","change":"719","summary":"3410","init":"1309","item":"22","button":"440","shown":"3780","copy":"1276","text":"232","load":"1724","fallback":"2010","channel":"1345","hide":"1656","serp":"471","pager":"405","down":"601","up":"600","footer":"295","more":"75","page":"143","loaded":"1007","grid":"3223","support":"2458","client":"2989","layout":"54","list":"436","duration":"2136","within":"3247","on":"10","off":"11","host":"3052","supported":"3761","enable":"2396","disable":"2395","full":"318","video":"231","translation":"347","distrib":"316","onboarding":"2045","filters":"618","lang":"1144","advanced":"255","apply":"2461","reset":"3236","short":"142","toggle":"237","snippet":"254","icon":"1167","abuse":"1436","submit":"297","wizard":"358","incut":"1073","out":"3218","popup":"1544","scroll":"768","show":"487","retry":"3545","feedback":"296","region":"287","help":"177","settings":"1137","recommendations":"2671","home":"1319","soo":"65","youtube":"624","google":"66","bing":"568"}},"clips":{"items":{"12321900368532326500":{"videoId":"12321900368532326500","docid":"34-6-16-Z117B47524943AFA6","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlatımı soru çözümü içeren bir site...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/987917/6d762624241c7cae2628ada7433f82ff/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/QCAE2AEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"0","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Bileşke fonksiyonlarda birbir ve örten fonksiyonlar","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=yiiaujQIgvc\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMjMyMTkwMDM2ODUzMjMyNjUwMAoUMTAzMTkxOTUwNjMxOTA4OTc2ODIKFDE2NzE0NjQwMzU4NjM0MTQ3NzYxChQxNjIzNDAyOTI1NzAyMDYzNDExMgoUMTYwMzU5Nzg3NDk1Nzk1ODkyNjQKEzM0NDk2OTI5MDg0Njc1Mzk0MDQKEzIxODA3NzU1NTQxNzY0OTc3NzMKEzg3OTIxNDIyMzI4MzU4MDYyNDUKEzgyMzE3MjMyNTU5ODExODgzMTcKFDE2ODkxNzAyODIyNTUyOTQyNzUxChMzNzQ0ODg3MjM4NDQzNzk3MzgwChMyNTQzMjc2NDExNTQzOTcyMTkxChQxMTE0MzM2MzQ3NzUwMDIxNzQ2MQoTNTQzNTM1NzIxMDk2NTU1OTMzOQoUMTgwMTIyNDE5NTE1NzA4NTAwNjYKFDEyMDE4MTI3MzMyMjEwNzI5NzUwChMyMDkwNDQzOTM0ODg4ODg2NjY2ChM5MjEzMTU5ODEzNTc3NjYxMTMwChI4NDgzNzg0NTMxMDY4Mjg3NDcKEzgxMjk0OTM5MzE1NjA1NzAyMDcaFgoUMTIzMjE5MDAzNjg1MzIzMjY1MDBaFDEyMzIxOTAwMzY4NTMyMzI2NTAwarIMEgEwGAAiRRoxAAoqaGhvd2h1dnZwd2NndHZoZGhoVUNOMGNFaktJZWdhdnNnZkNnLUp2NnVREgIAEioQwg8PGg8_E5MQggQkAYAEKyqLARABGniB9vv7-_sFAPj-_QD6BP8B8fwAA_v__wDu_Ab7BgAAAPTw8wICAAAA-gr7AwIAAAD2BPoCAv8AAA0A_QP7AAAA_wMEBf0AAAD0A_0H_wEAAP3_AgYD_wAADwX5Dv8AAAAF9_oFAgAAAAf8_AUAAAAA9Ov4BQAAAAAgAC1ZkeI7OBNACUhOUAIqhAIQABrwAX8G-_639u_-_wUEAe7e1wG9IhYAPha-AJbL8gDMG-oB2iHpAOT9AACC8gYEqy73_xbTqgMvEPMBGuoR_xQJ0wAeKvYBJ6whAGgHIQD38Bb_-RxRAvLyDQAw3NIC_Bj6AP7jGf8uBtL-_uLDABoDIgFDEx4EHvkN_gOXAQjR6Pn78A7kBfEY-gcM2xH35-0cBBXV6_wOLwj48VfiCP3nDAfr7gv_CTTP_U4-CwUc6vgC1sX5B-Me4wzmKCH--QwRCNn7CgfqCQv5Lg7l_RPr9vbo9_3-9vHpBDH6-AICPAYFBer-8-Q1CwEED_0J9SzyFCAALSyqAjs4E0AJSGFQAirPBxAAGsAHZmvFvn5zf7wjTfq7I16ovLSsu7ykHr-7FNqYvSdPeT0LEYm7n1s4PucTfr3YCj-8VPwfvifMKj1387k8FJRCPkZFHL1z6AC8ye5dveJ-9jwY1ki90VyHvY8-XjugbuK6bLDwPAproTsO2aO68zsNPnYUzLyGS1g8PQztvXP-nL1Lfhu7GBwqvb5Oir0GDgu8tkICvd6ulzroig09nYV4Pbw-kLuKBT68r8epPSgmELus0Ba9aW4FviPUET0HyGG88FnNPKxygDtG0m48ZftVvZu8krxpRvW8DCMdPTg9ubxvOY28rGMLPQ0GMjxa7Ju8nFqsPKMexzt8SPi8bOnRvalWpT1tGtu8GkKPPfbwwDxnMak6FTkUvk-VbzyrGaO8f2VKPb_R87z_zKC8SxcHPf-JGz00z1s8Q1TBPbIiNDw5K3281V-KPWswiD1v4po8TR1aPWPNbbwkin-8T-rrPTAsXz17MdS8KLGQvNeddrsn5hE8hNOHvcZO2D16lW87DybFvMilYLxwkos7RVylPHO49r3kBDc8x4NtvVcQjr2dt1a8dH7KPGokcz2FxKi75CxMPupXj70DDIU7SAjFvNoXFjxpGIS7baSRPF7Ieb0frDU7mHx9vR7GZD3dUAK8NJGIvfSmYj1-Ztq7OmlrvTQHMj3gEp07IziEPYEtZb34cY86Yt-pPNOueDy1d1u76zczPTFnUT3Gcfk6GLIKPmWew7sY0YI4segsvWYdxLyOW4q7FSwCvBYEtb05nQq6PL3yPUrIUb1XwY452XBCvTF8xLskLwm6ceA6vS66Sz1yFsc3ekQbvZVnOTznyzc6FJ2LvYl64b3GJ3A5pe8cPFZfwjwFWLu6mmpaO4cGGD2zP9Q6zCDDvdQNBL4IU4U5_YqQvOk9-ryHj4C58UWQPVKtTzyesr84ysOCvGnTB73gB6U4WxELvVCc7bxw0wM5FwMVPb98dz09Bwc5Wq-DPQGPw72m0Vo5yhuAPYXGnbxEhB04tSE1vC_L8LpcRJ64cm_ePS9YsD2t8ag4Jl3pPL2Q6TtVK18429CePXbjmD1QBfW4oFDPvRXvhj3C0gI4dfW2O8DKJj1-FSY4iiLkPd5Vz7ybdlQ3rXRNvdJFWT2s1rA49wEoPnBh3b3xZ7-5hA-lO2vtQr0GjpO4bhuxvSwuzr0-8V64BpadveuMHz5bH_I4U2VOPHtclb1edby3Iv_sPTUpBT7zflu4m9hwu9WYCz2_FOG4kDjavBXlsj3Eoi03fCS6vTmJtzxcbAq3IAA4E0AJSG1QASpzEAAaYFD_AEUAHeP4ysrVF8lHPJzC_uIM2O3_LBb_8P4SAScWvuAgGAAtFeUNogAAACgHuMogAAN_puML7uH1GrXECzMJYPH8IcjVANu-6x0bG-b86PoRPQDex53wK0W7Ry1WEyAALftbEzs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=yiiaujQIgvc","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12321900368532326500"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"10319195063190897682":{"videoId":"10319195063190897682","docid":"34-1-16-ZE2CC28AE3FF37E8C","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlatımı soru çözümü içeren bir site...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3192014/237be0648de3bb5468500d56c887e8d8/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/-VW1xwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"1","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Zor üç soru","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=qeGY9Ppo1NQ\",\"src\":\"serp\",\"rvb\":\"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_E5sFggQkAYAEKyqLARABGniB9_78AP4DAP_uAgn7CP0C8PwAA_v__wD9-AEC_wb-AO_8APT5AAAA9Q8IAPsAAADkBQf4-wMAAAn8-AUDAAAADvz8BvsAAAAL__v4_wEAAPcX_PsCAAAABhEBAAAAAAAACfoIAAAAAP8GBf0AAAAA8uoDAQAAAAAgAC0AU9s7OBNACUhOUAIqhAIQABrwAXYMJP_O2Pr_7wcu_94N8gGBGA__IizbAL8EQwHOB9sB7TTLAPYNHgD_3OL_uQTS_ivz6_8O5f8AJ-AsAPL13wH88PYAE9pHAlDuI_8zC_L-zBsB_fz9AgDp99oACwv-Be7xC_0W97YBuPjFARzhMwNEFB4E2vgd_fL2A_rz4goGqerS_gTOGAPw7gj23PM3CAzD6AUOMAj4zdoA_kf0_gUf3BQCCTXO_SM4AQTlDg0J8SD3APKp2wsZJij-9vjx7RHsDvPIqf_7Hg8MCd_38fTo6OgMDN_8_QPnFQwZ7vv87Nzp9dhPCgLm4PMPDen19CAALQGwADs4E0AJSGFQAirPBxAAGsAHHw-9vqJhMb1qeQ-9I16ovLSsu7ykHr-7IxPwvdctJz33_UC8paJBPrBh_LzPLyq9jbUPvqdDgjzll4M7-N8qPqbAF7y5SAu9mGPevCahurt201e92kMxvHZkVj3pWoW9PaHyPK7ZJbzUzH893zLnPRqX4LzHYhs9qv-NvdaDs73Unee8rPoBPaibpb1lQfo7cEKhPYRtfrtfHpc8bEhXPbHs-LxUhpa8xsSBPBhysT3NqYk84R-7vQFAhLw5tO28Wjf3Oszra7va3ag86LCxPO8vijuLlNy8zZpOPcfTF71FgFO89ybhPF2GlD3wtfG8KrsKvRXZ2LyhMW68d_UKvqCfLj1c-VG8Ka6qPJZKrj34P9m7p3chvlG2LT2v06M6uypQPfqNQLy_7746KJ4DPqytWLzx5c8700qxPQIjWb0fjuS8dq6TPR1VzT0408o73Ws3PYycqj0EfoO85kDPPe9IqzxRwLa8pvhTvKtwVb2t2jU89oY2OmTdmT0Ao3C8xB2UvBu5Hj7SDJi6zaR3PYdksr1tCGm8c1rBvFW9Qb36Dnq73cF-Pby7JD2Ie5G8g91APtjtWLxDQzW82BqwvXzX_7tMvGq7pH29PXPJh70vyC87iRXEvaZ_6T3rECy6ebHQvTWZ0T12jXG7weofu0jsSTzSlxQ8fGbEPcHfxD3C16K5aWLwvEU6Lb34FlY7LyloPQx8gL21X6k6yCOtPd4R3zwIVU27AeVqvSUXTT2ndy871u4LvBUb6Tk2eiw6jzfZPZ1pbbrhBgm5ePKkvX74fj05JyC5EoBEPWN_2T2rYzM5A3fgvWo-Hb2yQAG5iQ-3vbdCuL0xQro4th0mu3gUXb211zC6mbj2ux6U5jyjHxE777kdvdhXqLxvOiG64CzFvaZvyDzOpAq5qSiHu7OPWj0GG7a4GhbjvbBLfr0pUlE3Y0q_vJo6tL3-5XU5cQddOi-VrT0v-uK3WdPGPFAcYL0g0hc4XfLJPD4gwL2ZXv04fEPhPCAvGj2sh6S4NQsUPmXLjT2S4rE4mop-PYbjubzSBdQ2D1Q3PfGC6D3pQYI3xIiDva9ybT0Za6o4nB6vPCml8bxMT-q3yF86PtyVwjzNr0s4AJQavRsSdzzjhrM4weMrPtylaLwHiXS5bJ2TvNu1jLv-ogy4ErzhvWpii7xAOHO47ZGXvEH2hT1-hZ-2sulSPUeVvDws8cy3yvRwPSLhKz7xy4o4rARGvRElMD0PcrO4w_PSvY6KBL2Hssm2ziuovPqpBzo9VeM3IAA4E0AJSG1QASpzEAAaYDkEAC3_HRUY3Nfg-MQjILXh8Lzu5d7_CcwADfHKD_YB_d0KKgArCQXxqwAAACvO3QEcAP5xw-30FOgL_Ne30iMdZeUZK4HQLvDL9y0YA-kmC-oKJwDdDKg_FeejBhcsESAALRruJDs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=qeGY9Ppo1NQ","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["10319195063190897682"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"16714640358634147761":{"videoId":"16714640358634147761","docid":"34-3-3-Z27EA9CE77D90300C","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2134897/cda64865c680a9c3dabc0834a72dbbf4/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/Ph6DHAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"2","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:16714640358634147761","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik problemlerinin çözüm yöntemlerini anlatan bir eğitim içeriğidir.","Videoda \"kaç farklı okunur\" soruları ele alınmaktadır. Eğitmen, \"aşkım matematik\" gibi harflerin farklı okunuşlarını hesaplamak için çeşitli yöntemleri göstermektedir. İlk olarak harflerin üzerinden geçerek yol haritası çizme yöntemi, ardından harflerin alternatiflerini hesaplama ve son olarak gazete küpü veya bulmaca gibi yırtılmış şekillerde okunabilecek yolları bulma teknikleri anlatılmaktadır. Video, farklı soru tiplerini ve çözüm stratejilerini adım adım göstermektedir."]},"endTime":442,"title":"Kaç Farklı Okunur Soruları Eğitim Videosu","beginTime":0}],"fullResult":[{"index":0,"title":"Kaç Farklı Okunur Soruları","list":{"type":"unordered","items":["Video, \"kaç farklı okunur\" sorularını çözmeye odaklanıyor.","İlk soruda, \"aşkı matematik\" ifadesinin kaç farklı şekilde okunabileceği soruluyor.","Çözüm için harflerin üzerinden giderek yol haritası çiziliyor ve 12 faktöriyel bölü 5 faktöriyel çarpı 7 faktöriyel formülü kullanılıyor."]},"beginTime":1,"endTime":74,"href":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1&ask_summarization=1"},{"index":1,"title":"Farklı Şekillerde Soru Çözümü","list":{"type":"unordered","items":["Soru farklı şekillerde sorulabilir, örneğin şekil eğilip bakıldığında aynı sorunun farklı bir versiyonu olabilir.","İkinci soruda, \"aşkı matematik\" ifadesinin farklı bir şekilde yerleştirildiği bir şekil inceleniyor.","Bu durumda çözüm için 2 üzeri harf eksi bir formülü kullanılıyor ve 2 üzeri 12 eksi 2 şeklinde hesaplanıyor."]},"beginTime":74,"endTime":217,"href":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=74&ask_summarization=1"},{"index":2,"title":"Yırtılmış Şekillerde Soru Çözümü","list":{"type":"unordered","items":["Yırtılmış bir gazete küpü veya bulmaca şeklinde \"aşkı matematik\" ifadesinin kaç farklı yolla okunabileceği soruluyor.","Çözüm için harflerin üzerinden geçerek yol haritası çiziliyor ve okunmayan yollar dikkate alınmıyor.","Hesaplamalar sonucunda 44 farklı okuma şekli bulunuyor."]},"beginTime":217,"endTime":398,"href":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=217&ask_summarization=1"},{"index":3,"title":"Benzer Soruların Çözümü","list":{"type":"unordered","items":["\"Aşkım matematik\" ifadesinin farklı bir şekilde yerleştirildiği bir şekil inceleniyor.","Bu durumda da önceki çözüm yöntemi benzer şekilde uygulanıyor.","Yazım hatası yapma durumu da ele alınıyor."]},"beginTime":398,"endTime":437,"href":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=398&ask_summarization=1"}],"linkTemplate":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Kaç farklı okunur","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=ecAmPwW-0p0\",\"src\":\"serp\",\"rvb\":\"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_E7oDggQkAYAEKyqLARABGniB9voC_gEAAAgI-wcHCP0C4v34AQwCAwD4-gMO_AT-APH3_A4FAAAAAPwQ_QgAAADyA-v6-f8AAAYFBfoFAAAAA_L-9PkAAAAI7wL-_wEAAAcL-PsDAAAADQEKBQAAAAD3Agb1__8AAAUB-wjy-wAA8ekDAQAAAAAgAC2tPtE7OBNACUhOUAIqhAIQABrwAXj7EgGB7_35a-X4ARwW4wCzGQkAYiz0AbQREgHv1fIBJin6Ad4CHgHG-eX_8fwR_9P-8AAE-Q0AN_gR_wTz9wHzGwUBNtz9ADkTA_8E9_IA1CsC_twCJAEJAuMB4gMA_Pv8EQAvJOH_-wvv_RUCGwA1-w4C5_H-ARgWAgL3-hL9EPbp-_kA8wT5AvT98gIPBAr92wAKHuoAFQcDAyHvG_z59_0EFArmAwYX-AcFNxsDHvfy_A3y_fvRCx0DFzzxA_kFDgH45fYCBg7_CBj3-AEL8AYHFAz8EPwQAQ319fv9-OoBAOUSCPUCwQIO4OLmAyAALTKKJDs4E0AJSGFQAipzEAAaYC_9ACLnMO7cCPruGtUoO9Wm38YK1cj_AuAA6v4LJQ8XA-ArEAATKwIYrQAAABb5vek8AAJqyOPdJMrqCKfxBxjUfw4bAPnYENDJw58IFzQIBBIfMQD-2bsNERnKIUcN9CAALWZPJTs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=ecAmPwW-0p0","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16714640358634147761"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"16234029257020634112":{"videoId":"16234029257020634112","docid":"34-9-6-ZD690149F581BD244","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlatımı soru çözümü içeren bir site. is a...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2803666/5a8c92e82b3ae24f637f0ec6e81f0290/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/nGgrHQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"3","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Çok değişkenli fonksiyonlarda limit 1","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=kZy-RRyHjwA\",\"src\":\"serp\",\"rvb\":\"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_E4wGggQkAYAEKyqLARABGniB9gEK9gEAAAnxAP_7Bv4BBvUA-vj-_gDlAwT9Cf0CAOXw-wkC_gAA7Av3BwYAAAAGCPn7-f0BAA8O_f73AAAAAvoJA_cAAAD1AAIS_wAAAAMCBwED_wAAAgrwCf8AAAAD9wbwAP8AAAXrAfwAAAAA-OD7_AEAAAAgAC0jg887OBNACUhOUAIqhAIQABrwAX_6BAO67dX_3gP4AA0d7QGyDBr_GyTiAMX7HgDc8sYB9RsIAOkUAgDgBwr_uxHu_-zm7gD2tvcAIfME_wr56gEBGRIBEdjwAj8CFf8H5-3-sy8b_d3_EQAW2dYDHSrl_x7kHP8wJuD_Cuy-CPvuKwEbDBsBGfoK_uDsFwP48SAD_uDF__MUDwP75Qr-5Q4RBx3e9gn3Gfb55QIFC_nr-AAH8Bb3DSPwBBAV_P8EHPsA4e3wBesG2QMEByn_Fx7iAtYTB_Xp1QsD_OwFBBv89vDaHwEHEuH6CQT3_gLc-gn559AAAcT77Ab0Duz19ujy6iAALa6gHzs4E0AJSGFQAipzEAAaYDX-ADH4IeL32_TxB9I9P5iq--cA0v7_DBL_3ADpBSHr98crCwAJ7_f-owAAACQuvfRLACh4vuUE7dzTALeSChvzfwwNIM77D8O1ujEOGNMA_wgJQQAG55kKQiS6JkU5GyAALYJ9FDs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=kZy-RRyHjwA","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16234029257020634112"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"16035978749579589264":{"videoId":"16035978749579589264","docid":"34-1-6-Z276E2CF8D4CE7599","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3456694/bffa472a22c63570f22ff0ea155f59df/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/RJKUKgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"İki değişkenli fonksiyonlarda limit süreklilik 2","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=dbYn_1qMt7Y\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMjMyMTkwMDM2ODUzMjMyNjUwMAoUMTAzMTkxOTUwNjMxOTA4OTc2ODIKFDE2NzE0NjQwMzU4NjM0MTQ3NzYxChQxNjIzNDAyOTI1NzAyMDYzNDExMgoUMTYwMzU5Nzg3NDk1Nzk1ODkyNjQKEzM0NDk2OTI5MDg0Njc1Mzk0MDQKEzIxODA3NzU1NTQxNzY0OTc3NzMKEzg3OTIxNDIyMzI4MzU4MDYyNDUKEzgyMzE3MjMyNTU5ODExODgzMTcKFDE2ODkxNzAyODIyNTUyOTQyNzUxChMzNzQ0ODg3MjM4NDQzNzk3MzgwChMyNTQzMjc2NDExNTQzOTcyMTkxChQxMTE0MzM2MzQ3NzUwMDIxNzQ2MQoTNTQzNTM1NzIxMDk2NTU1OTMzOQoUMTgwMTIyNDE5NTE1NzA4NTAwNjYKFDEyMDE4MTI3MzMyMjEwNzI5NzUwChMyMDkwNDQzOTM0ODg4ODg2NjY2ChM5MjEzMTU5ODEzNTc3NjYxMTMwChI4NDgzNzg0NTMxMDY4Mjg3NDcKEzgxMjk0OTM5MzE1NjA1NzAyMDcaFgoUMTYwMzU5Nzg3NDk1Nzk1ODkyNjRaFDE2MDM1OTc4NzQ5NTc5NTg5MjY0auAEEgEwGAAiRRoxAAoqaGhvd2h1dnZwd2NndHZoZGhoVUNOMGNFaktJZWdhdnNnZkNnLUp2NnVREgIAEioQwg8PGg8_E40OggQkAYAEKyqLARABGniB-vf8-f8BAAz9-AX6B_4B7fH8A_v__wDtCv8GCAAAAPPxBwoAAAAA7Qr3BwYAAAAGCPn7-f4BABIGBAUEAAAA-f0FC_gAAADpAfsNAAAAAAkHA_oDAAAACwPuAQAAAAAA9f_6AwAAAATy-gIAAAAAAun2AwEAAAAgAC0rMtc7OBNACUhOUAIqhAIQABrwAX_6BAO67dX_7Qv_AB8d-QCyDBr_MDfj_8X7HgDNFdkA7hj3ANAN9__k_PD-vxcHAOT85f8DzBT_H8X3_wTz9gH9BgQBI9f0AT8CFf8M3_z_sy8b_dj39AD9y-EADRfz_gzjD_8aGs7-Dv_XAwv0H_8tACUB__kO_er2Fv7vEQEF_uDF__0GAgT75Qr-2wQgAg7r5AERFvv9ABoMBAfe-fke9Bn9DSPwBBkg9wsDCgoF9vzr__H16fgc-iEF-hTc_d7_C_Tp1QsD_fMR-BQM-_HaHwEHHNb9_hHt8wHY6AsF_-vuAOX0AgPfDPb98efz_iAALa6gHzs4E0AJSGFQAipzEAAaYCr1ADf_EAII0dnmGNE_SYWo8uT64_T_FRn_6hjSBxz79d8dEgAX4uoRogAAACsa0PwtAAh8u9QC7-_T9a-L8x7yfxEiOqfxILi-xw7u_-EEBRUKNADs5o70LiLJK0pOBCAALWQ2ETs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=dbYn_1qMt7Y","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16035978749579589264"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"3449692908467539404":{"videoId":"3449692908467539404","docid":"34-3-6-ZC86DBB11A280F878","description":"öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site that...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4055865/22f36e4155ed19569b15911d1768a67d/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/1IhhGgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"6","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Sayı ver.çöz","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=9f_HeVrAPCY\",\"src\":\"serp\",\"rvb\":\"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_QL7BQD39Q8H-wb-Aen9-QP8AAAA-f3-AwUC_wDu_fwDBP8AAO4FB_35AAAA_v0K_vT-AQAGAAv_BAAAAAj1CP8FAAAAAfn2__8BAAAGCP8AA_8AAAQC_QQAAAAAAAn6CAAAAAAHEPD8AQAAAPfw8fwAAAAAIAAtWULiOzgTQAlITlACKoQCEAAa8AF_6hf-uQrZAL7-EQAp4AAB5ulIADtF2_-d-SABxP_pAd0vD__0Efz_uPoOAbkE0v7WzvUAzMflACrP7v7w_O8BCyHxABbO7AIzADYBBfgf_sQGIf_I8gYB_b7ZABD_3gDnluj9LwbR_gznrQoR_kgBIvgX_M3IGv_e1xf859jy9_zi2f38CAIF-8g0_7n1CAYnFu__8fX599haDQAA3OP26-4L__Qw6AMjOAEEJBT-C8nd4_zzAPH9-ysfDPgU7AT0BRrvEtQF7hDH8gP9-vPw9hX1AffI8hEM9NcB3fQFBArxCALSGP76zh0C_fPi7-QgAC2_TgA7OBNACUhhUAIqcxAAGmBQ9wA9Bjr--dnn7-m1HjvW6O3dEM_c_wP4_-Qg1gf7Et_ZHQ8AIhcM7KYAAAAr0-IR-QAidMDh6gXvGg3htu75H3_HIy-gy0jU2vQ7MurOJCLZOjAA4wmcCPsiohRFAwggAC12Lxs7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=9f_HeVrAPCY","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3449692908467539404"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"2180775554176497773":{"videoId":"2180775554176497773","docid":"34-8-5-ZCA594B2ED259D181","description":"İlköğretim matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4427074/811fdd368cbfa0f43354735d0d89fa84/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/JCi4GgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"7","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Kaç farkli yol var?","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=DrIAhdgM6uQ\",\"src\":\"serp\",\"rvb\":\"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__n8BQDpB_QGBQEAAOT8FAH9AQEA8Pj9Bf8BAADt_AP6A_8AAAr2-wMIAAAA8vn3_PoAAAALDPsBBQAAAP70_Av-AAAA9vMBAP8BAAATCQH-A_8AAAQC_QQAAAAA_v_9-wIAAAASAu8DAQAAAPLrAwEAAAAAIAAtrYbgOzgTQAlITlACKoQCEAAa8AFjNB__gf32-TAP7wA3CdgBqQ0d_24Q6QCn-hwB6hXqAQUi3gDqACMA3xTRAJ_-9wHY7dr_6QX-ARPVBgD9CekA_QYFAT7X_QBwGAgBNtsa_6o1Hv3n_h__BBTVAgPw6QEL8hP5QA3gAewDwAIKIDYDPvoQA9r6_Af-FQsDEekkBOL11v344g8D_wAVAO7oAwn8D-EFGDLT_wQy_gMS9gL64e0Y_xcL4gQcJPUM-h4nAPr8-fQj3-QC5w0mBBoi3gLi7gXu-dQFAhkV_gMLDPb4De0HCPzg8grzDv___uADBgYCAPvnMQoB8fgHCBDY6fogAC23CQ87OBNACUhhUAIqcxAAGmA3AgAp_Ej46_nb9xvZSCu9ms2x_uq5__bU_9gI_SAO5BbWFxMASPA0-pgAAAAhA8gHQgACfrn41wLEzBCBzfYy9X4PHQC7-hm-AtvEK_0U6_8DNykA8-SbGFMZtAZmE-ogAC3Owww7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=DrIAhdgM6uQ","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2180775554176497773"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"8792142232835806245":{"videoId":"8792142232835806245","docid":"34-6-9-Z66312E871C8E59ED","description":"matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4079173/10fde55c64148e0c2db67e88881c5f01/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/IyJ2GQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"8","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:8792142232835806245","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik eğitim içeriğidir. Konuşmacı, üçgenlerle ilgili iç ve dış teğet çemberler hakkında bilgi vermektedir.","Videoda, üçgenlerin iç ve dış teğet çemberleriyle ilgili pratik bilgiler sunulmaktadır. Konuşmacı önce iç teğet çemberler için açıortayların özellikleri ve uzunluk hesaplamaları yaparak, ardından dış teğet çemberler için benzer hesaplamaları göstermektedir. Her iki durumda da üçgenlerin kenar uzunluklarının toplamı ve teğet noktalarının özellikleri kullanılarak pratik formüller türetilmektedir."]},"endTime":447,"title":"İç ve Dış Teğet Çemberler Hakkında Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"İç Teğet Çember Özellikleri","list":{"type":"unordered","items":["Video, iç teğet çember ile ilgili pratik bir bilgi sunmayı amaçlıyor.","İç teğet çemberde, çemberin merkezinden üçgenin kenarlarına çizilen teğetlerin uzunlukları birbirine eşittir.","İç teğet çemberde, kenar uzunlukları a, b ve c olan üçgenin iç açıortayları, çemberin merkezinden çizilen teğetlerin uzunlukları a-x, b-x ve c-x şeklinde ifade edilir."]},"beginTime":0,"endTime":232,"href":"/video/preview/8792142232835806245?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Dış Teğet Çember Özellikleri","list":{"type":"unordered","items":["Dış teğet çember, üçgenin dış açıortayları ve iç açıortayının kesiştiği özel noktadan çizilir.","Dış teğet çemberde, kenar uzunlukları a, b ve c olan üçgenin dış açıortayları, çemberin merkezinden çizilen teğetlerin uzunlukları a+x, b+x ve c+x şeklinde ifade edilir.","Bu özellikler pratik olarak kullanılabilir ve çemberle ilgili hesaplamaları kolaylaştırır."]},"beginTime":232,"endTime":441,"href":"/video/preview/8792142232835806245?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=232&ask_summarization=1"}],"linkTemplate":"/video/preview/8792142232835806245?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Üçgende iç ve dış teğet çember","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=Zy-1d1A1eU8\",\"src\":\"serp\",\"rvb\":\"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_A4IEJAGABCsqiwEQARp4gQED_QL7BQDwAwYGAAP_Ae0J_AMH_wAA_QQDAAIF_gD0AP7-_wAAAPcQB_QAAAAAA_v9-_3-AQAWAQP_-gAAAAXsBPn-AQAAAQ8ABP4BAAD9_wIGA_8AAAwBCgUAAAAA9Qn6_wIAAAAFDPoCAAAAAPjj-_wBAAAAIAAtd1vjOzgTQAlITlACKoQCEAAa8AF__Tv9m-VA_cgODf8AGc4BsOP1_0tX0f-tBVUB99CzAvU7KwEJ9VUB4-T7AZztAgDcJMn-P0brAEuxMf7r8KUB--zzAT-Z7wFm6Sz_Ihzj_9pb-f_3Ev4D_AK1AOAo1_4FxAf_WxOmAuI2wgVVE0L_DVAgAo0M-QUDD_r91PEp_wH75P3jBP0FzyYCAxnOOgc82wUDGhgbBhIO5woA9hf7FfclAQtDwfwcC9EHqyz5_e0T_fJYoPwGRP3-7y_u4wPK_xHtybQO88_vEenHGA3w0N4JBRsu7BED4BsP-wb5DQkCAPnuP_nzNd3m_RbH4PggAC0dLco6OBNACUhhUAIqcxAAGmA93wA8_RX5FA3cBO7LDSDKt-3kLtPf__Pg__4YuwMcKtLi4xEAEuwNB6IAAAAn8vYXIgAfecrmBCPsOymhwuYIB38PE-SF7jH35ckZF-zlM_4LK2IAD_-k_jAnmyAzJA4gAC3yFhk7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=Zy-1d1A1eU8","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8792142232835806245"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"8231723255981188317":{"videoId":"8231723255981188317","docid":"34-9-3-ZD3A8B18F8910F51C","description":"olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site that contains proof of lecture...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1009553/0e8db7ee3bfe7d19d311934d85175e96/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/HhHCGgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"9","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:8231723255981188317","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında Stewart teoreminin anlatıldığı bir eğitim içeriğidir.","Videoda Stewart teoremi tanıtılmakta ve ispatlanmaktadır. Teorem, bir üçgenin herhangi bir köşeden bir kenara çizilen doğru parçasının uzunluğunu hesaplamak için kullanılabilmektedir. Öğretmen önce teoremin formülünü açıklar, ardından kosinüs teoremi kullanarak teoremi ispatlar ve son olarak teoremin nasıl uygulanacağını bir örnek üzerinden gösterir. Stewart teoremi, benzerlik veya özel teoremler kullanmadan bazı soruları çözmeyi kolaylaştırmaktadır."]},"endTime":423,"title":"Stewart Teoremi Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Stewart Teoremi Tanıtımı","list":{"type":"unordered","items":["Stewart teoremi, benzerlik veya özel teoremler kullanmadan soruları çözmeyi sağlayan önemli bir teoremdir.","Stewart teoremi, rastgele bir üçgenin herhangi bir köşeden karşı kenara çizilen özel olmayan bir doğru parçası için geçerlidir.","Teorem, kenarortay, açıortay veya yükseklik olmasa bile kullanılabilir."]},"beginTime":2,"endTime":83,"href":"/video/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=2&ask_summarization=1"},{"index":1,"title":"Stewart Teoreminin İspatı","list":{"type":"unordered","items":["İspat için üçgende kosinüs teoremi kullanılarak iki denklem oluşturulur: c² = x² + b² - 2px·cosα ve b² = x² + k² - 2kx·cos(180-α).","Denklemler taraf tarafa toplanarak ve kosinüs değerleri yerine konularak x² = (b² + c² - k·p) / (k + p) formülü elde edilir.","Stewart teoremi, aranan uzunluğun karesinin, çapraz kenarların karelerinin çarpımlarının toplamından alt kenarların karelerinin çarpımlarının çıkarılmasıyla hesaplandığını gösterir."]},"beginTime":83,"endTime":317,"href":"/video/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=83&ask_summarization=1"},{"index":2,"title":"Stewart Teoreminin Uygulanması","list":{"type":"unordered","items":["Örnek olarak, bir üçgende bir kenarın uzunluğu 3, diğer kenarın uzunluğu 4 ve Stewart teoremi kullanılarak aranan kenar uzunluğu hesaplanabilir.","Formülde yerine konularak x² = (9·2 + 16·5) / (3 + 4) = 28 / 7 = 4 olarak bulunur."]},"beginTime":317,"endTime":422,"href":"/video/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=317&ask_summarization=1"}],"linkTemplate":"/video/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Stewart Teoremi","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=D_w7d-5q-Uc\",\"src\":\"serp\",\"rvb\":\"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_Q7-AgD1AQMFBwX9AeYBBAb8AAAA_AX5_QYE_gD4APgL-gAAAOoD-gD3AAAA_QYB-_r-AAAGCgTxBAAAABX5AAz5AAAAAgP5_wgAAQD_9QQIBP8AAAIIAfz_AAAA8gj3CQEAAAAMBgEFAAAAAAz6-foAAAAAIAAt06TaOzgTQAlITlACKoQCEAAa8AF_2wD9pecb_c_tB_8SJ-YC8Owo_18-_gDkHi0B5ODQAes6xgDqzib_zM0JAdT_6f8uEdz_6tLMADqoDwLyD80B7_vmARi3BABHFB0D_iLs_YIlCv3l1_3-9fDEAPoM_Pzc5Rj7GPavAd749QhC6igCFD4yA5n0Ef_XIv0A1wMOARDDy_3dC-oBwOAl_wHHGQY04AQDOgcZ-_cbGPsZ5_QMHvH59flL3vgEH9UJ3vv7DP0m5wU1leUCPD8FBfvm1vwjBysAscL29OQPBALo7wPk993z_P32AhYB0Br8K73_--zP9wwYJPf76MDcAwOs6fUgAC0W--k6OBNACUhhUAIqcxAAGmAU9gBI9ST13d_v5Bm4Nj7wsAvgSfXB_-r0__0y7OAJ8_rmIgUAL98dAacAAAAyGtAGGwAldOKcA_rZKvniwPAa8n_nDPuXHRMG7u7j9NERTRy2Vl0A5RG6GCsIwAQi3uUgAC315Rk7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=D_w7d-5q-Uc","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["8231723255981188317"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"16891702822552942751":{"videoId":"16891702822552942751","docid":"34-9-5-ZB5C3749358D0CF0C","description":"Matematik öğretmenliği İlköğretim matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2198381/0970f41d0b0d500256249103f046a082/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/C_CrFgEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"10","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:16891702822552942751","teaser":[{"list":{"type":"unordered","items":["Bu video, bir eğitmen tarafından sunulan matematik dersi formatındadır.","Video, çok değişkenli fonksiyonlar konusunu ele almaktadır. İlk bölümde çok değişkenli fonksiyonların tanımı, tanım kümesi, görüntü kümesi ve grafiklerinin çizimi anlatılırken, ikinci bölümde seviye eğrileri ve komşu kavramları (dikdörtgen, karesel, delik, dairesel komşuluk) açıklanmaktadır. Son bölümde ise sınır nokta kavramı detaylı olarak incelenmektedir.","Videoda ayrıca dört boyutlu fonksiyonlar için seviye yüzeyleri kavramı ve yığılma noktası, kapalı küme, iç nokta, dış nokta gibi küme teorisi kavramları da ele alınmaktadır. Video, bir sonraki derste yüksek boyutta limitler ve sürekliliklerin anlatılacağı bilgisiyle sonlanmaktadır."]},"endTime":1781,"title":"Çok Değişkenli Fonksiyonlar ve Komşu Kavramları Matematik Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Çok Değişkenli Fonksiyonlar","list":{"type":"unordered","items":["Bu derste çok değişkenli fonksiyonlar, tanım kümeleri, görüntü kümeleri ve bunların grafikleri nasıl çizilebileceği anlatılacak.","Özellikle iki değişkenli fonksiyonlar yoğunlaşılacak çünkü tek değişkenli fonksiyonlar iki boyuta, iki değişkenli fonksiyonlar ise üç boyuta götürür.","Dört boyutlu fonksiyonların grafiklerini çizmek mümkün olmadığı için iki değişkenli fonksiyonlar üzerinde durulacak."]},"beginTime":0,"endTime":46,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Tek Değişkenli ve Çok Değişkenli Fonksiyonların Karşılaştırılması","list":{"type":"unordered","items":["Tek değişkenli fonksiyonlarda tanım kümesi A kümesi, değer kümesi R kümesi ve görüntü kümesi de R kümesi olarak tanımlanır.","Çok değişkenli fonksiyonlarda D kümesi alınır ve f: D → R^n şeklinde tanımlanır.","Çok değişkenli fonksiyonlarda tanım kümesi, görüntü kümesi ve değer kümesi R^n kümesi olarak adlandırılır."]},"beginTime":46,"endTime":145,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=46&ask_summarization=1"},{"index":2,"title":"Seviye Eğrileri Kavramı","list":{"type":"unordered","items":["Çok değişkenli fonksiyonların grafiklerini çizmek için seviye eğrileri kavramı kullanılır.","f: D → R^n fonksiyonunda, z = f(x,y) şeklinde bir sabit a sayısı için x ve y'ye bağlı bir eğri oluşur.","Bu eğriler x-y düzleminde çizilir ve seviye eğrileri olarak adlandırılır."]},"beginTime":145,"endTime":253,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=145&ask_summarization=1"},{"index":3,"title":"Seviye Eğrilerinin Örnekleri","list":{"type":"unordered","items":["f(x,y) = x^2 + y^2 fonksiyonunun seviye eğrileri, x-y düzleminde çizilen çemberlerdir.","f(x,y) = 1, f(x,y) = 8 gibi farklı sabit değerler için farklı çemberler oluşur.","Seviye eğrileri, üç boyutlu grafiği oluşturan çemberlerin oluşturduğu şekli gösterir."]},"beginTime":253,"endTime":379,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=253&ask_summarization=1"},{"index":4,"title":"Tanım Kümesi Örnekleri","list":{"type":"unordered","items":["f(x,y) = √(x^2 + y^2) fonksiyonunun tanım kümesi, x^2 + y^2 ≥ 0 şeklinde tanımlanır.","f(x,y) = log(y - x^2) fonksiyonunun tanım kümesi, y - x^2 > 0 şeklinde tanımlanır.","f(x,y) = √(x^2 + y^2 - 1) fonksiyonunun tanım kümesi, x^2 + y^2 > 1 ve x^2 + y^2 ≥ 0, yani orijin merkezli yarıçapı 1 olan çemberin dışındaki bölgelerdir."]},"beginTime":379,"endTime":553,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=379&ask_summarization=1"},{"index":5,"title":"Görüntü Kümesi Örnekleri","list":{"type":"unordered","items":["f(x,y) = cos(x) fonksiyonunun tanım kümesi R kümesidir ve görüntü kümesi [-1,1] aralığındadır.","f(x,y) = e^cos(x) fonksiyonunun görüntü kümesi (-∞,1] aralığındadır.","f(x,y) = √(x^2 + y^2) fonksiyonunun görüntü kümesi [0,∞) aralığındadır."]},"beginTime":553,"endTime":656,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=553&ask_summarization=1"},{"index":6,"title":"Seviye Eğrilerinin Grafiği","list":{"type":"unordered","items":["f(x,y) = √(x^2 + y^2) fonksiyonunun grafiği, seviye eğrilerinin yardımıyla çizilebilir.","z = 0 şeklinde bir seviye eğrisi, x-y düzleminde bir çember oluşturur.","z = 1, z = 4, z = 9 gibi farklı seviye eğrileri, yarıçapları sırasıyla 1, 2, 3 olan çemberler oluşturur ve bu çemberler bir kase şeklinde bir şekil oluşturur."]},"beginTime":656,"endTime":784,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=656&ask_summarization=1"},{"index":7,"title":"Üç Boyutlu Fonksiyonların Seviye Eğrileri","list":{"type":"unordered","items":["Üç boyutlu fonksiyonlarda seviye eğrileri, z'nin sabit değerleri için elde edilen elipslerdir.","x²/a² + y²/b² = k denklemi bir elips denklemi olup, z'nin farklı değerleri için farklı boyutlarda elipsler oluşur.","Bu elipsler üst üste gelerek bir platform oluşturur ve üç boyutlu grafiğin bir parçasını oluşturur."]},"beginTime":793,"endTime":985,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=793&ask_summarization=1"},{"index":8,"title":"Hiperbol Fonksiyonlarının Seviye Eğrileri","list":{"type":"unordered","items":["f(x,y) = k denklemi için x²/k - y²/k = 1 denklemi elde edilir ve bu bir hiperbol denklemi olur.","Hiperboller x eksenini ve y eksenini kullanarak iki farklı bölgede oluşur ve seviyeleri bu iki bölgede de görülebilir.","Üç boyutlu grafiğin üç boyutlu görüntüsü, hiperbollerin birleşimiyle orijinal bir şekil oluşturur."]},"beginTime":985,"endTime":1199,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=985&ask_summarization=1"},{"index":9,"title":"Dört Boyutlu Fonksiyonlar ve Komşu Noktalar","list":{"type":"unordered","items":["Üç değişkenli fonksiyonlarda seviye doğrusu yerine seviye yüzeyi oluşur.","Dikdörtgen komşuluğu, (x-x₁)² + (y-y₁)² \u003c δ² koşulunu sağlayan noktaların oluşturduğu kümedir.","Karesel komşuluk, dikdörtgen komşuluğun delta₁ ve delta₂ değerlerinin eşit olduğu halidir."]},"beginTime":1199,"endTime":1405,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1199&ask_summarization=1"},{"index":10,"title":"Yığılma Noktası ve Kapalı Küme","list":{"type":"unordered","items":["Yığılma noktası, bir noktanın her delik komşuluğunda kümenin en az bir elemanının bulunduğu noktadır.","Kapalı küme, tüm yığılma noktalarını içeren kümedir.","İç nokta, bir noktanın tamamı kümenin alt kümesi olan en az bir delik komşuluğu bulunan noktadır."]},"beginTime":1405,"endTime":1678,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1405&ask_summarization=1"},{"index":11,"title":"Sınır Nokta Kavramı","list":{"type":"unordered","items":["Bir noktanın delik komşuluğunda kümenin tamamen dışında kalan elemanlar bulunmaz.","Bir noktanın delik komşuluğunda kümenin içinde hiçbir eleman kapsamazsa, bu noktaya \"dış nokta\" denir.","Sınırlı nokta, her delik komşuluğunda kümenin hem ait olduğu hem de ait olmadığı noktaları içeren noktadır."]},"beginTime":1680,"endTime":1757,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1680&ask_summarization=1"},{"index":12,"title":"Sınır Nokta Örneği","list":{"type":"unordered","items":["Bir noktanın delik komşuluğunda kümenin içinden eleman içerirken dışından eleman içermeyebilirse, bu nokta sınır nokta değildir.","Bir sonraki derste yüksek boyutta limitler ve süreklilikler anlatılacaktır."]},"beginTime":1757,"endTime":1780,"href":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1757&ask_summarization=1"}],"linkTemplate":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Çok değişkenli fonksiyonlar tanım görüntü ve grafikleri","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=WLNdupHhXjM\",\"src\":\"serp\",\"rvb\":\"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_E_UNggQkAYAEKyqLARABGniB7vcK9wT7AA39__sEBAEB8e8LBfz-_wDl8RD4BP4BAPTn_gP6AAAA-f8BBgkAAAAVBfj-AwADACEMAP3xAP8A__sA-foAAADxAu8EAAEAAAcJ_wAE_wAAGw_0Bv8AAAAS8A3_AP__AQ73BPkAAAAA-eQBCgAAAAAgAC3p48Q7OBNACUhOUAIqhAIQABrwAX8QMADB6QH-uvbk_yQ73P-JFw7_MjINALgF_ADW7tQADDD5AOkAJAD3DCoAm_73AQb27QDf_OwAIAUz_934HgD9CiAB_M0HA03yBQDv4BT-pjcg_dgEAv_d4eL_9RXe_gv5IgEJ-tYB1fPRAAzyJP8fDh8BBQDfAd0n8ADmFPAF4fXV_fwJG_3d3CoB9vQp_i7f8Ps1LAj84Rb7BvYL__gB7g8CQSDs-w8H8Afd_hME7vf9BicE5_wP9x_8LAns9tn_DfICpgX3HvrqBgr-A_Pw2wgVEv_wAs78BP_m1AIK-T0M8OQRAwgN9e0QAs8HBSAALeBpCTs4E0AJSGFQAirPBxAAGsAH8S3kvjPFNz31Rxy8U2AcvSRC47xvkQW9FNqYvSdPeT0LEYm7gGAuPm81AT2fTsO8oUh3vnNWujykNjG9xVWFPlQwb72bfyq8huMJvt8g9TysASq9FRxOvqxNyDw1lx87bLDwPAproTsO2aO6wX6-PfL3wb0XrW28s652ves98LwggC-9iUf9vJOdqL1rcBG9dvclPRgoJL2slLm8yNQYPWzLRb2IXJm7a3MQvLZX1Tx9sA48EW3HPOl1lbx6ih68RWRYPb2g6jxffI-63FV-vP3XPr3KILG6E1EjvMGGELxQtOG8naJ-PJdBeTrpp268vJsiPcADqL3DP7I7s33ovVJMfDo1iva799a2Parw1DloVwQ77fECvgG5ST2mzkg8QCt2u6lj-rzZegQ804bjPcx2aj3WdL08e_QGPkouuTvWur-7CWTAPM9ZdT2FY7E8bJwIPWZxVT0L1KK8P30aPbzG0zy4QII76fDQvWx6MD3p85G8HVpkvHmHBT3C7I66IY0vPKpHmjy8z3E8xTVDPfhRDb4Jbyy7dfhVvcH-K70XKn-8PRVGPeprpzx6BkO89gWpPcG80bxvfPG7LzKiOxQU9bwY9os7AsiKPTiMjb0Ux2S7KVvkvRv3IT1eq5C7tuQnPZj-ID25XSC8rokAvYsffj3skXk6Ox7OvOHjfT0mRfk7R9c7PCvgubyJdAU8h8uAPWmOLDwB12C6IClCPiCMDDw7ZsS4KlkpvJtUVL1vHdI78iKXOj7tED1YUWa7H6LRPVj4H7150Yo4SC8vPRvUfrwCxga5chGEvGIQ2D2E1A63PxmjvLL2V71D9Qu4qMfWvVkNU73JJz-4ZuUtvUl0QL2lX7M5qdMqu8BeYTzdW2s2NRlfvQX7D716nom6qk7ivBOKYz3zha84kfhwPbvv2DzVj084IIypPGeeVz1SADc4oeWvvFRNFb21GDG4rEyCvTFnsT2r-0g466RjPKKMor2_UmQ5Kdt2vOfssz0nn4A3eo5IPcrkTz1cU6U4cm_ePS9YsD2t8ag4FRSQPHPlgr2P6Xw4mYIFPvnzUj0erga5a_HpvXnWJLzuL2A2SYxUvO9KjL15K9c24YgEPUnJAb03-Zo22GOivEHbA7sZZTQ4H58APqTkkL0V6Dq59lRYvX_BbrxUslO3VHaVPNa1rDxGHiQ39NbKPHye_zzI1hW3SfeOPK1QxL1znPK4yvRwPSLhKz7xy4o4HjiCvTPznj2c5_K44S2LvZt_yzrmAAo4PAgJPE4q2jykrB04IAA4E0AJSG1QASpzEAAaYC_zAEUPEvDiCtruDa0QRpGd6MIO5OL_Aw__4AX9__oO67sJIAAm6vgTngAAAC8O4-k3AA1_yLYd4d4LIJq_9xvwfwIjKLcESdrWsiT_F-wJ5PYONQD_C4MAGPmwQEpdASAALbAYDjs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=WLNdupHhXjM","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["16891702822552942751"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"3744887238443797380":{"videoId":"3744887238443797380","docid":"34-2-0-Z30DABA3798E8C35C","description":"İlköğretim matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3309596/3e85e2847b536aac00a3a70615a1ae09/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/hOsNFQEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Dairenin çevresi ve alanı soru çözümü","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=hcbHRJvs9x8\",\"src\":\"serp\",\"rvb\":\"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_QDy7f0DDgT-Af4HBQAK_f4A-f8FAPoE_gDa_vsFAP7_APIGCwsBAAAA9_MHAfn-AAAn_fb9AQAAAATuDgD7AAAA-AL9-v8BAAABB__3AwAAAAwP9QX_AAAAAAr6CQAAAAD9DQD5AAAAAPfu7_wAAAAAIAAt3knLOzgTQAlITlACKoQCEAAa8AF_DSf_wxzmAJThJQEBC7IB5-MOAD9J2f_UAwoA5eHRAQ43-AAQGSUAANQRANvkEf_jNt7-vvbhATiqDwLNGgAA_tcxARfL6wJMOwH_-BXx_8gdAf3g3A0B6PbXABNJ9_xBzCH-QDLW_-755_wt-jkB6Q0fB7cABQTYIf0AgQv5AefV0P3qAhAC2_Ij-xXWMQYw9QUFDini_9nlDgf78gT4Es0P-wMo9gL7NeQE6SvuBNET9wMp2N4D9AUS-_vAyga48Rrz46cTBP0G5gzZxSD_2vkSFVnZ_AX-2gHxQ88bAAIEEQfFAQL7GwPb9gLXEPEgAC3pre86OBNACUhhUAIqcxAAGmAn3QBGEQDgAvbI4f_VHAG82unB79f6__vC_8oS-BUHEfLm_QMANwMGCqsAAAAk5ez8HAAab6fw_eUCIBq4vvQMDX_9FQa25yrho9cJCArJKP4oIEQA6fXCJBb1kgwpTRwgAC0NnCI7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=hcbHRJvs9x8","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["3744887238443797380"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"2543276411543972191":{"videoId":"2543276411543972191","docid":"34-5-13-Z7383BD4AF8DD66D4","description":"İlköğretim matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3311204/0cf1161ab774992ceb4056c636ecb054/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/3FUWGAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"13","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Dairenin çevresi ve alanı","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=q5Ot-vv7GOg\",\"src\":\"serp\",\"rvb\":\"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-_sJCgP-AP4I9_4J_f4A_v0LAgAF_gDqAPsL_v8AAPMGCgoBAAAA-vID-gL-AAAZBfD-AwAAAAj4AAf9AAAA-QH9-v8BAAD7AAL9A_8AAAUK_AH_AAAA-An_CPwAAAD9DAD6AAAAAPfv8PwAAAAAIAAthsHcOzgTQAlITlACKoQCEAAa8AF_Fhf8yQ4bAbcHAAAW_scC0QYg_ycz1gCuMRIBvsgDAdtAJQDiDhIA_9fd_-r6Gf75Gr7_4h3E_kO5LP_WEb8BDMH0ARnH6QJPGTz__gfg_tMwGP68w_UB887D_gA19v4TtQb-UhGvAucErgIrHDIBEQs6BbIABQXlNv8B3vgC-f3SrP4HIBMF1NX3-geyNwQOwfz-HBkL-O71HAPn9BgB2Oge_9sw7wkEINMK3fr7DADUCAM3kOQCNwIZAvvl1PzyBh3s4aEVBeG69P8C9Rzx6AwGDkEL-RIk2QAD_v0M9_f9Bu3UBBEDGLX0ASQA6eggAC09IeA6OBNACUhhUAIqcxAAGmAt6AA1CgvVCQbZ7xPtGQrKs_rH69Ho__PaAL4DAAwmGvnW4uQAQe8FDqoAAAAn_N_4FgAucbbuAez4GjSzsfsFCH_9DBW8-DT1ot3e9Q7JN_ElKkYAB_St-iL1oygtPwUgAC38ByA7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=q5Ot-vv7GOg","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2543276411543972191"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"11143363477500217461":{"videoId":"11143363477500217461","docid":"34-5-3-Z045C1284DB4A8A7B","description":"matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4507451/3a117779fab45263b977ad927d7c6187/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/XrMmFAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"14","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"İki değişkenli fonksiyonlar ve limit","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=f-odkHPGX-I\",\"src\":\"serp\",\"rvb\":\"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_E44MggQkAYAEKyqLARABGniB7vcK9wT7AA39__sEBAEB4vT8APwBAQDVCQD9CPcEAOf4BAcJ_wAA6wv2CAcAAAAGCPj6-P0BABELDgD0AAAA9gH_A_oAAADs_gYF_wEAAP4IBAAD_wAADA_1Bf8AAAAG6Qn3AP__AQTw-QIAAAAA99_6-wEAAAAgAC3p48Q7OBNACUhOUAIqhAIQABrwAX_0_wDBD_v_yuTkAOw45wCFCiz_ND3g_7_7IgDY79YAAATuANz_EP_9DxIAuBoIAAX27gAA2vYATuEKAPL88QHc8x8BPdj9ADkQGAL16fYAqzQe_eXiCgEY1tEDA_HqAQ_i-vwU-L8B_-XJACX7LwEeDR4B_wQeBdnyBf_mFRAC69zY_QgIEQjx8Af3_hEfAw3n_AgnGPr20vkOAAgL-f8b4BECDyfvBRkfCAb4HAQG9OvyAiz93wQf-SQGCfzfBtv_DPPotxAE--oFBQTRA_viAPcFFN75CvH0BQffsxTv-Ar6_df-9gX-6_T14NH1-SAALaQ3ETs4E0AJSGFQAipzEAAaYDH2ADANI-wI4-bkHM42O5PE_s8I3gP_Dvv_3AnrAQcJ5cIcIwAT8PESqAAAADkb0_ArABR0x-kA5-bjF8SL7if8fxUkJLr7KtSv2yAHAugJ_Qb7LAAJ-ZH1HA_IKUpnISAALboKGjs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=f-odkHPGX-I","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["11143363477500217461"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"5435357210965559339":{"videoId":"5435357210965559339","docid":"34-1-17-Z5F348EFAC215FB1C","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/899167/65c694480e5a79da5e52bd7e71c06538/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/FyW8IAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"15","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"İki değişkenli fonksiyonlarda limit","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=fAgOOWc7gJo\",\"src\":\"serp\",\"rvb\":\"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-A-8F-gAN_f_7BAQBAeH0_AD8AQEA4AH2_wv8AgDm-AQHCf8AAOsL9ggHAAAA_QrtA_b9AQAQD_3-9wAAAAD7_Qf5AAAA9AACE_8AAAD-CAQAA_8AAAIL7gn_AAAABukJ9wD__wEF8PkCAAAAAPfe-vsBAAAAIAAtiCrCOzgTQAlITlACKoQCEAAa8AF_Fhf8vfm__5sHzgDnSd8AnQIPABhAAwCk-eIA4BjCAegKBwD_Px8A5QQMAIQYEAEA1uf-ztzmAR-6Hf8Sx9f_9P9FAQAC1wFc6yj_B6IM_8BoAv7V7RT-_LTTAO8-3f8rBgX6KBTtAsvwxgArHDIBA_YMCDn78__RuRAB4_zSAScMsfr5HDD24Mwa-_EnDAoQ4PsLKC7q-9_91QXlCvYGDgAMBxxT4v8kLvMQBA8PB-Ol-wcTDf8MFwwY8fvl1PyQ1Az8sbcb-xK-8AMFNQTryiwBCjb67QPq6v7u0wQHE_f9Bu3D7QfyHQPY9uy5__EgAC09IeA6OBNACUhhUAIqzwcQABrAB4iCub7FJQG8WkX_vKWdj71E5M-8hUu9vEvTtr2Wyys9rO4HvaDiaD4Ljv06MNYauqFHDL5S3Iy8sCwCvRSUQj5GRRy9c-gAvIbjCb7fIPU8rAEqvfGE3r2AH588t0EOPCtLdLyzvve8xyRIO_5-ET7pKr29OJRrvMoufb1J56474JcfvZfUnjusW5i9odCXvPuKmjzaKne85a3EPKXghD36R7o8QC2nu4ev5Tz3hDa83aCsvBaSYr0RXnW7PvTTvJlD9zxCPDc9O5YtvEl0Jb0IXBK9_lx6u_kUgLw2dLO8PQpXvHG1uT36Jzi8T-oLvdjCBz1Ex5m98juyvKjIIb4CfBw96OltPPCLCz7zP7O74jrGO67XBL4Nnz497EWZvD8ojj2sHxu9M7yfO03TnD3kNvW8CWyOPNRI6z36Gc08aJGtPBAWfz2NGdc8TncDPezdB7rpS6m62zG1vCpxfT2nvj281X5GvN-Izr2SGTm8tqFPuqpzFj0Enio9fPTEO5ah4LwL7LE83GYqPN9mxj05tfO9hx8YPHvJlb0YHO-822R5vOfMUT24oIg9WX0evPD5YT0UXw2-d4QRuy8yojsUFPW8GPaLO7qYUD0fG1e9YmqmPJxTCb5f-k09dEujuzp5bDx883Y8LtYmvBDycL1eah-864H_O9zJcTsbbra8J5OqO5VrpTx5i5w9Zf5yO_kbiDybruc9lasKuhiyCj5lnsO7GNGCOGrZ2r0jQ9i8bJejOXgmNDw8qlA8A683u8o0-j0Te828WYZhODsrErzjCCi9G9Qauai3ULx0tAo-_MVYN4odzb1JZQw8RBsPuVQb_L1iu_u9E9PyOXD7Lzxtxkm9BewOOZm49rselOY8ox8ROwYkRr3DV7W9CMhdNwiu0r1Yaic9El4huTgU3j2LPZ89Mq23uKRSyzr0PX48pS13uFO1-LzAFJS9BOPWOLwvnbyLgZ890q5sN__eF71rt129lx4SOBe-eT1_VK49OTHVOKMLRbx2T5M99i1HOIdTkT30X8Y9qrkkN7GJK7sW6fa7hzEgOJ861j0wdKY9CzxZuSL7AL7GXyQ9F5hlOAEHI70frmu9Vr5ytsTPDz48aum7nsuVNs35Ez3i_II9T8q6NPcBKD5wYd298We_uavfFr0N-x2-o7z-uJdTt72kJFq8YQicuJG_Cr2DHpU9i0ORN0MiyDylTdW9UAd3uIqWVz0QWPk9jRdAOJvYcLvVmAs9vxThuFIJpL0f-FM9CUMwOKx6L71anPE8qKPsNyAAOBNACUhtUAEqcxAAGmAn_QA2CA3m_efi8w3ZOiqOwO_b_-P8_wj9AN0B4wUM_OLNCxIAAfD3_asAAAAyNt0LJwASbMDbIur15gysn_c6-n8X_x28-RnOycY5ER3jAvsOAycADPKl-y8V0h4_VCsgAC0YoCE7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=fAgOOWc7gJo","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["5435357210965559339"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"18012241951570850066":{"videoId":"18012241951570850066","docid":"34-9-8-ZB2DCA914766FD4F1","description":"üniversite hazırlık ve matematik hakkında herşey ayt tyt akademik matematik analiz sayılar teorisi sonlu matematik geometri cebir ile ilgili ispat konu anlat...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4265482/8691b4cb081dac73bc062c1eb3f4ddfc/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/kbheEwEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"16","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Olmaz ama olsun.(kisa çözüm)","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=LDkptAlZGJk\",\"src\":\"serp\",\"rvb\":\"EqwDChQxMjMyMTkwMDM2ODUzMjMyNjUwMAoUMTAzMTkxOTUwNjMxOTA4OTc2ODIKFDE2NzE0NjQwMzU4NjM0MTQ3NzYxChQxNjIzNDAyOTI1NzAyMDYzNDExMgoUMTYwMzU5Nzg3NDk1Nzk1ODkyNjQKEzM0NDk2OTI5MDg0Njc1Mzk0MDQKEzIxODA3NzU1NTQxNzY0OTc3NzMKEzg3OTIxNDIyMzI4MzU4MDYyNDUKEzgyMzE3MjMyNTU5ODExODgzMTcKFDE2ODkxNzAyODIyNTUyOTQyNzUxChMzNzQ0ODg3MjM4NDQzNzk3MzgwChMyNTQzMjc2NDExNTQzOTcyMTkxChQxMTE0MzM2MzQ3NzUwMDIxNzQ2MQoTNTQzNTM1NzIxMDk2NTU1OTMzOQoUMTgwMTIyNDE5NTE1NzA4NTAwNjYKFDEyMDE4MTI3MzMyMjEwNzI5NzUwChMyMDkwNDQzOTM0ODg4ODg2NjY2ChM5MjEzMTU5ODEzNTc3NjYxMTMwChI4NDgzNzg0NTMxMDY4Mjg3NDcKEzgxMjk0OTM5MzE1NjA1NzAyMDcaFgoUMTgwMTIyNDE5NTE1NzA4NTAwNjZaFDE4MDEyMjQxOTUxNTcwODUwMDY2auAEEgEwGAAiRRoxAAoqaGhvd2h1dnZwd2NndHZoZGhoVUNOMGNFaktJZWdhdnNnZkNnLUp2NnVREgIAEioQwg8PGg8_E4sBggQkAYAEKyqLARABGniB7QT79wP8APz58gD7Bf8B3PMN__4CAgDrCv8GCf8AAPf1BQANAAAA7wL3_gEAAAAF-gP7BfwBACQL-wAEAAAA-gkE_v0AAADv__j__wEAAAQW-vQBAAAADQ4P9gAAAAAMDRD5AAAAAAwF9gQBAAAA_-4HAQAAAAAgAC2c1cY7OBNACUhOUAIqhAIQABrwAXcO6f6BE9r6PP3cACIg-ACFCiz_WzvfAOYpBADY79YA9f34AdEV5f_CD_r_4Bwd_wX27gAe9hkAL7kMAgXpBQD5APoAVsj1ASYODQAPAeL_uysK_dUJ7wFA9dMA3S3V_BPoKf0H8OwA2wzUARz6EQQa6g4A6BQzAO4LG_0NBgkCDc_W_vIIFAvn2BT84PUxBxvo_gH5GyQAGB3pARcF6P3_FAD3KQLlAvsM9woC6xP5C-IN-ggK8_keJBYJ8AgU8_L2JwL6Eez26xr5_vQfAAwN7gcI-M7zDxb7Bg_05fPuEezyAA0P-P7O8Qz3CgPt-SAALSZlETs4E0AJSGFQAipzEAAaYA3tABkVIQjp6uXd9dgoLNLi07oR1fP_8wL_vx3l8foV8dbvN_8sKO_2rQAAACe9DAIUABds2ebODtYBEbrZwhrWf98WGJvqBcC1ywwb9eoPH-4lWgD2AKkIEA69MSMhGiAALc4DJDs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=LDkptAlZGJk","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["18012241951570850066"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"12018127332210729750":{"videoId":"12018127332210729750","docid":"34-7-0-Z11A6AFD0108C531D","description":"matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4613944/92f2309feb6ecf966523f3fc29b8f414/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fEivFAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"17","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:12018127332210729750","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından mutlak değer sorularında kısa çözüm yöntemleri anlatılmaktadır.","Videoda, mutlak değer içeren denklemlerin çözümünde kullanılan kritik nokta yöntemi ve özel durumlar detaylı olarak açıklanmaktadır. Eğitmen, \"ax + b + ax + c = d\" tipindeki mutlak değer sorularının nasıl çözüleceğini adım adım göstermekte ve çeşitli örnekler üzerinden çözüm yöntemlerini pekiştirmektedir. Her örnek için kritik noktaların belirlenmesi, aralarındaki uzaklıkların hesaplanması ve çözüm kümesinin bulunması gibi adımlar gösterilmektedir."]},"endTime":538,"title":"Mutlak Değer Sorularında Kısa Çözüm Yöntemleri","beginTime":0}],"fullResult":[{"index":0,"title":"Mutlak Değer Sorularının Çözüm Yöntemi","list":{"type":"unordered","items":["Mutlak değer sorularında genellikle mutlak değerin içini sıfır yapan noktalar kritik nokta olarak alınır ve bu noktalar için ayrı ayrı çözüm yapılır.","ax+b+ax+c=d tipi mutlak değer soruları çok kısa çözüme sahip özel bir durumdur.","|a-b| ifadesi, a ile b arasındaki uzaklığı ifade eder."]},"beginTime":1,"endTime":109,"href":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=1&ask_summarization=1"},{"index":1,"title":"Özel Mutlak Değer Sorularının Çözümü","list":{"type":"unordered","items":["x-2+x+4=16 eşitliği, x'in 2'ye ve -4'e uzaklıklarının toplamının 6 olduğunu gösterir.","x'in 2 ve -4 arasındaki uzaklık 6 olduğundan, x'in bu iki nokta arasındaki aralıkta olması gerekir.","x+5+x-2=7 eşitliğinde, kritik noktalar -5 ve 2'dir ve aradaki uzaklık 7 olduğundan, çözüm kümesi -5≤x≤2 olur."]},"beginTime":109,"endTime":229,"href":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=109&ask_summarization=1"},{"index":2,"title":"Çözüm Kümesinin Belirlenmesi","list":{"type":"unordered","items":["2x-2+x+5=6 eşitliğinde, kritik noktalar -5 ve 2'dir ve aradaki uzaklık 7 olduğundan, çözüm kümesi boş kümedir çünkü minimum uzaklık 7 olmalıdır.","x+1+x-10=10 eşitliğinde, kritik noktalar -1 ve 10'dur ve aradaki uzaklık 10 olduğundan, çözüm kümesi boş kümedir.","3x+1+x-3=10 eşitliğinde, kritik noktalar -1 ve 3'tür ve aradaki uzaklık 4 olduğundan, çözüm kümesi -4 ile 6 arasındadır."]},"beginTime":229,"endTime":403,"href":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=229&ask_summarization=1"},{"index":3,"title":"Pratik Çözüm Yöntemi","list":{"type":"unordered","items":["x+3+x-6=11 eşitliğinde, kritik noktalar -3 ve 6'dır ve aradaki uzaklık 9 olduğundan, çözüm kümesi -4 ile 7 arasındadır.","2x-4+2x+6=20 eşitliğinde, 2x'e a diyerek a-4+a+6=10 denklemi elde edilir ve çözüm kümesi -11/2 ile 9/2 arasındadır.","3x-2+3x+1=3 eşitliğinde, 3x'e a diyerek a-2+a+1=3 denklemi elde edilir ve çözüm kümesi -1/3 ile 1/3 arasındadır."]},"beginTime":403,"endTime":537,"href":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=403&ask_summarization=1"}],"linkTemplate":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Kısa çözüm tipleri mutlak değer","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=eaUUJO8zevw\",\"src\":\"serp\",\"rvb\":\"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_E5oEggQkAYAEKyqLARABGniB9AMC_v8BAPQBAwUIBf0B8Ar5-_n-_QDwAf8F9gEAAPj2BAAMAAAA_QL7BgEAAAD66AAB_f4BABcX_fsEAAAAAvT1APkAAAD_CPH9_wEAAAQDCe0BAAAADQEKBQAAAAAFCgX_AAAAAAUGAfYBAAAA-OH7_AEAAAAgAC3YMtQ7OBNACUhOUAIqhAIQABrwAX_6BAOz8-v-9fAFAQ0E5gCQCSj_MDfj_8wBDgDc8sYBBPPxAN__D__G-wsB2w7pAODY4QAC6hUAN8zn_w3i9AD9CRwBEdjwAiINDAAL8Pz-0AUb__P78gAW2dYDCArU_gfVGv4mBdv-2_XXAA7-OgEoBg4C8f4iAuXfEv0H8xYACfHaAPggBQQH0AsB2wQgAg8BA_sNBfP69yjzBA706wAZyRP9ByvY_gQeEAkTKAj71_7u___6-gD8IhkK9iTt_97_C_Td0An46-YFCf36-QDoJe4H_eP0CQ3uAQf22wD87uAA99QAAfzNBQEA49X2-SAALa6gHzs4E0AJSGFQAipzEAAaYA_pADj6FwXm-Ar7-NnyFcjJ2eQKz_7_9_cAywzi5_wO9do0KwAFGBn5tAAAAEHo9wUGAP1jxO_6FvDxCq_k9gTyf_YLIa_bJsHSwxYw4ukU--8yKgD19aQFHP63Kik37CAALS8BMzs4E0AJSG9QAjAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=eaUUJO8zevw","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["12018127332210729750"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"2090443934888886666":{"videoId":"2090443934888886666","docid":"34-11-12-ZF9D97ED2557246C4","description":"öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics ayt tyt academic mathematics analysis number theory is a site that...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3936459/b2910f2d3ee7714dcbfe1c9dd844d665/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/fWgIHAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"18","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=videoid:2090443934888886666","teaser":[{"list":{"type":"unordered","items":["Bu video, bir matematik dersi formatında olup, bir eğitmen tarafından Mene teoremi konusu anlatılmaktadır.","Videoda Mene teoremi detaylı olarak açıklanmakta ve üçgenlerde kenar oranları ile alan hesaplamaları için pratik bir yöntem sunulmaktadır. Eğitmen önce teoremin matematiksel ifadesini göstermekte, ardından üçgenlerde kenarları kesen bir doğru durumunda oluşan oranları açıklamaktadır. Son olarak, teoremin nasıl kullanılabileceğini iki farklı örnek üzerinden göstermekte ve benzerlik kavramına göre çözüm yöntemlerini karşılaştırmaktadır."]},"endTime":710,"title":"Mene Teoremi Dersi","beginTime":0}],"fullResult":[{"index":0,"title":"Meal Teoremi Nedir?","list":{"type":"unordered","items":["Meal teoremi, üçgenlerde x, y, z, t gibi oranları bulmak veya rastgele bir alanı verip toplam alanın ne olduğunu sorgularken çok işe yarayan bir teoremdir.","Meal teoremi, üçgenin kenarlarını kesen bir doğru ve uzantıları arasındaki oranları belirler.","Meal teoremi, iki benzer üçgenin oranlarını kullanarak x/y × n/m × (t+z)/t = 1 formülünü verir."]},"beginTime":0,"endTime":285,"href":"/video/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=0&ask_summarization=1"},{"index":1,"title":"Meal Teoreminin Uygulanması","list":{"type":"unordered","items":["Meal teoremi, üçgenin üç kenarını aynı anda kesen bir doğru ve uzantıları arasındaki oranları belirler.","Kesilen noktaların köşelere uzaklıkları oranı, kenarların uzunlukları oranına eşittir.","Meal teoremi, benzerliklerle uğraşmadan üçgen problemlerini çözmeyi sağlar."]},"beginTime":285,"endTime":382,"href":"/video/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=285&ask_summarization=1"},{"index":2,"title":"Meal Teoremi Örneği","list":{"type":"unordered","items":["ABC üçgeninde DF doğrusal ve ABC üçgeninde S1 bölümü 10 birim kare olarak verilmiş, ECF üçgeninin alanı sorulmuştur.","Meal teoremi kullanmadan, paralel çizgiler çekerek benzerlik oranları kullanılarak çözüm yapılabilir.","Meal teoremi kullanarak, kenar uzunlukları ve alan oranları daha pratik bir şekilde bulunabilir."]},"beginTime":382,"endTime":709,"href":"/video/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=382&ask_summarization=1"}],"linkTemplate":"/video/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Menelaus Teoremi","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=U31GNOLIwxo\",\"src\":\"serp\",\"rvb\":\"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-Qj8BQD2_gMF_gX-Ae7-AfH7__4ABwMBAAQD_wDzAP7-_wAAAPoK-wMCAAAA_QIB9wL-AAAQAwL1BAAAAAzx_f_6AAAABgH9_v8BAAAKAAEAA_8AAA7-AQgAAAAA8wsCAQT6-AT3BwEAAAAAAAD29P8AAAAAIAAtotThOzgTQAlITlACKoQCEAAa8AF__QT9tvrb_9PxQQATKuQC4hgf_zk68ACuGDEBAO7TAek_wAAJ9lAB9LPXAJoZ5v8RLs_-BAviAGrSRwDp2sgA1QQUAUDaBABj7gcAIgXu_9EyGf7M_xr_9hDSAOIm2f7svx38G_WoAc4QxAJI6CwDHhYIA4Uu7gPZCe7-3NgU-vP50ADi5BQL-RjlBSH1IwVHweAEGSH4_AwMGAlAtvsBDt7-CAs_xf0kGcv2nfUM-u4m9QAtwgz-Lxga7hTa0gvyBh_rvZf_-Q0NJgjBURDt6PIDDxor7RAQ5A_4KhAD_uQE7O7IevYBEfHnFS239vAgAC3MyNY6OBNACUhhUAIqzwcQABrABxFumr5V5py8QxaAuv0cGTwrupq8OzNiO0vTtr2Wyys9rO4Hvf4OZT7GZqy8BpCQvC9uxDtc9B-9ygLBPAovYT4XcbC8QdPGOStgnL27Hta8Tl5EvXo0lTxV14a8ItcXvXawNDxH2hc9rUC-PEZQtj3YyhW9Z3RxPTG5LLy0lyi9opknvPihGjwfheu9vJF5vHEeTjz84Lw88m52vF2V-rpN8T09ZejzPGd3EDxXfnQ9MgfeO2x85r2wrd-8EyFfvQe3FLtOPPE8xbb7PAR2cL1erF48qOukvKx6rzyUxG29Ck8Dvd_8xj3sG_M8h1k-vUwKYrzDWLA8oweZvA1TK75csqY7Yro1vLaAULy4W9I9m-4MvMhFJb5p0YE9nQjHvFcnpz05Ccq89QZrOw5O5D1a-gu9K3ZqO_5aoz3wUmq9paq_unaukz0dVc09ONPKO1cYDL1XGwg9W-RDvPOHqz2IYAG8Eu6-OeXpQb2gZFy90yUtPK-m_DwgxN-6mBZ1PMQdlLwbuR4-0gyYuo_gFj5beA6-A-cOvGtq9LwQ3U06jeq2umMvnz0m_6M9uGI1vJFk9j1po1-8AJOSu7y7Jbv9EIu904Ojtz2RcT34YS69-eaKu4kVxL2mf-k96xAsuhYthb15I9M9r0XOOW5HnbzHh7S9GIrHO_Q2Nj1tkdQ9xNDquoCVSL0mDBk9jF3oO42_ujlhWi88aI-bO_EWo7y9foI9dZQDuz26wb1RuQ88W5uEutbuC7wVG-k5NnosOtCQez2ir4W842vPuSFnsL3IwiY9IzDbuDT9iD0yyjM-jlcuOtujx73J0My80x8aOP8jQ75mZ9G9PPKQOfYjhbzaSCi9J7mOOXIxlr3FHho9LCCWOY46H71pa2k9CkfSugiu0r1Yaic9El4huciD4zx1DOM8vhzZt4M3r73o9tK86ceNt9n5ijtBqKG95Te8OQIyT70jgtE9dbe8OEO5Q71yTUG9cxB8NxYviz3I_E29aU1VuXVHNbwd00k9-ywyt4HAhD3_moe8MCUluAb5NDwJvLi8XVHDN83nXD1HM5s91S0lub2P4704Zc49OHOROFRd2TtnMco7LkoCOMhfOj7clcI8za9LOL_hkbrsxtY8KfCmOLEVBD7G__g7MtlTuJOMnLwmsaq99wHbuAAcG74Pg1Q9GwEwuPcPeD09TUG8YdW7tzIQqj0Q7Dg90N2guELLXz1jGrc9bpCOOKIoAL5WsFc9baXkuMPz0r2OigS9h7LJtrhLkbx-7yW8aZOSNyAAOBNACUhtUAEqcxAAGmAg_gA69gsP__Pi6uHRSCjDzvvpEeTg__n8ALko6vP699v0ASUAFvZL76wAAABE9_sN8QDpbb_kD-fSFCPOwM0lBH8QHfKk8BLww5zODM_1NCHRExoA7AOvFzgLsgbtDxogAC2hriM7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=U31GNOLIwxo","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2090443934888886666"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null},"9213159813577661130":{"videoId":"9213159813577661130","docid":"34-10-6-Z7CF079E89CF2CC28","description":"matematik Matematik bölümü Matematik öğretmenliği İlköğretim matematik öğretmenliği Matematik olimpiyatı Olimpiyat matematik İlginç sorular everything about university preparation and mathematics...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/2366836/8d6f06b4176bdedf9cd1a1d48535dd93/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/S3ynFAEAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"19","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","isAdultDoc":false,"relatedParams":{"text":"Polinomda kısa çözüm(L'hospital limit kullanma)","related_orig_text":"Aşkı Matematik","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Aşkı Matematik\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=K9dRvN4rC0E\",\"src\":\"serp\",\"rvb\":\"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-gD39vEPCAj8Auz-9PX5_v4A9fr6_P0D_wD36v4HCAAAAP79EQ0EAAAABAH4BvH9AQAFBwj39wAAAAL8Bwz_AAAA_RMCEf4BAAAFAff3A_8AABr5_g4AAAAACPb8BPj-_wH4Ev0HAAAAAAXhAf8BAAAAIAAtHI_BOzgTQAlITlACKoQCEAAa8AF_-SgBwQndAMX-DwAbAPsC7SAk_zU93__CEiUBvOneAfQeCQDsBO7_zQIB_9gg-wDd1N4A2eTsAT3G5P_x9MAB_QYFATfY2AA47gkABwwU_rosCv3o-wEC_cXdAB8awwAD1gX_QA3AAuwDwAL07iICIP4hBuT7B_0B5CD9_eT5AQ3O1f7yFxED4bwV_vf0J_4Lzv3-DgXy-dUYAwXt6AH8_P4Q9ywv7wIBDfv--Bf2_uPc3AD8AeYEChsRBQn83gboFQ_22coK9-Pa8f8LDPb46iD4AQC9BxId7P_29-AR_PrO_vzk7vUPzx73DvXm8OcgAC3nWA87OBNACUhhUAIqcxAAGmAZ7wAo8CsHB_cM1g7OOCnBs-TAGuEF_wcW_9YQD_Yy-ci5CxMADukh6KIAAAAz4LUFJgADd7_28Q3u5fXRkdQI_H_sCi7M3A-rqKH1N_znMgYOFzIA6ummBCn1lgk7M_4gAC23mRU7OBNACUhvUAIwCTgBSgBgAGgA\"}","related_url":"http://www.youtube.com/watch?v=K9dRvN4rC0E","parent-reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["9213159813577661130"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null}},"dups":{"12321900368532326500":{"videoId":"12321900368532326500","title":"Bileşke fonksiyonlarda birbir ve örten fonksiyonlar","cleanTitle":"Bileşke fonksiyonlarda birbir ve örten fonksiyonlar","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=yiiaujQIgvc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/yiiaujQIgvc?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"https://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":2067,"text":"34:27","a11yText":"Süre 34 dakika 27 saniye"},"date":"10 ağu 2021","modifyTime":1628553600000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/yiiaujQIgvc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=yiiaujQIgvc","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":2067},"parentClipId":"12321900368532326500","href":"/preview/12321900368532326500?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/12321900368532326500?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"10319195063190897682":{"videoId":"10319195063190897682","title":"Zor üç soru","cleanTitle":"Zor üç soru","host":{"title":"YouTube","href":"http://www.youtube.com/live/qeGY9Ppo1NQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/qeGY9Ppo1NQ?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":667,"text":"11:07","a11yText":"Süre 11 dakika 7 saniye"},"date":"18 mayıs 2021","modifyTime":1621296000000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/qeGY9Ppo1NQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=qeGY9Ppo1NQ","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":667},"parentClipId":"10319195063190897682","href":"/preview/10319195063190897682?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/10319195063190897682?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16714640358634147761":{"videoId":"16714640358634147761","title":"Kaç farklı okunur","cleanTitle":"Kaç farklı okunur","host":{"title":"YouTube","href":"http://www.youtube.com/live/ecAmPwW-0p0","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/ecAmPwW-0p0?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":442,"text":"7:22","a11yText":"Süre 7 dakika 22 saniye"},"date":"8 haz 2020","modifyTime":1591599600000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/ecAmPwW-0p0?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=ecAmPwW-0p0","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":442},"parentClipId":"16714640358634147761","href":"/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/16714640358634147761?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16234029257020634112":{"videoId":"16234029257020634112","title":"Çok değişkenli fonksiyonlarda limit 1","cleanTitle":"Çok değişkenli fonksiyonlarda limit 1","host":{"title":"YouTube","href":"http://www.youtube.com/live/kZy-RRyHjwA","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/kZy-RRyHjwA?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":780,"text":"13:00","a11yText":"Süre 13 dakika"},"date":"2 haz 2020","modifyTime":1591056000000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/kZy-RRyHjwA?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=kZy-RRyHjwA","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":780},"parentClipId":"16234029257020634112","href":"/preview/16234029257020634112?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/16234029257020634112?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16035978749579589264":{"videoId":"16035978749579589264","title":"İki değişkenli fonksiyonlarda limit süreklilik 2","cleanTitle":"İki değişkenli fonksiyonlarda limit süreklilik 2","host":{"title":"YouTube","href":"http://www.youtube.com/live/dbYn_1qMt7Y","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/dbYn_1qMt7Y?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1805,"text":"30:05","a11yText":"Süre 30 dakika 5 saniye"},"date":"2 haz 2020","modifyTime":1591056000000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/dbYn_1qMt7Y?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=dbYn_1qMt7Y","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":1805},"parentClipId":"16035978749579589264","href":"/preview/16035978749579589264?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/16035978749579589264?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3449692908467539404":{"videoId":"3449692908467539404","title":"Sayı ver.çöz","cleanTitle":"Sayı ver.çöz","host":{"title":"YouTube","href":"http://www.youtube.com/live/9f_HeVrAPCY","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/9f_HeVrAPCY?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":368,"text":"6:08","a11yText":"Süre 6 dakika 8 saniye"},"date":"29 mayıs 2020","modifyTime":1590710400000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/9f_HeVrAPCY?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=9f_HeVrAPCY","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":368},"parentClipId":"3449692908467539404","href":"/preview/3449692908467539404?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/3449692908467539404?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2180775554176497773":{"videoId":"2180775554176497773","title":"Kaç farkli yol var?","cleanTitle":"Kaç farkli yol var?","host":{"title":"YouTube","href":"http://www.youtube.com/live/DrIAhdgM6uQ","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/DrIAhdgM6uQ?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":646,"text":"10:46","a11yText":"Süre 10 dakika 46 saniye"},"date":"26 mayıs 2020","modifyTime":1590451200000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/DrIAhdgM6uQ?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=DrIAhdgM6uQ","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":646},"parentClipId":"2180775554176497773","href":"/preview/2180775554176497773?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/2180775554176497773?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8792142232835806245":{"videoId":"8792142232835806245","title":"Üçgende iç ve dış teğet çember","cleanTitle":"Üçgende iç ve dış teğet çember","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=Zy-1d1A1eU8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/Zy-1d1A1eU8?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":447,"text":"7:27","a11yText":"Süre 7 dakika 27 saniye"},"views":{"text":"1,5bin","shouldShowInSnippet":true,"a11yText":"1,5 bin izleme"},"date":"23 mayıs 2020","modifyTime":1590192000000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/Zy-1d1A1eU8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=Zy-1d1A1eU8","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":447},"parentClipId":"8792142232835806245","href":"/preview/8792142232835806245?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/8792142232835806245?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"8231723255981188317":{"videoId":"8231723255981188317","title":"Stewart Teoremi","cleanTitle":"Stewart Teoremi","host":{"title":"YouTube","href":"http://www.youtube.com/live/D_w7d-5q-Uc","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/D_w7d-5q-Uc?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":423,"text":"7:03","a11yText":"Süre 7 dakika 3 saniye"},"date":"20 mayıs 2020","modifyTime":1589932800000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/D_w7d-5q-Uc?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=D_w7d-5q-Uc","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":423},"parentClipId":"8231723255981188317","href":"/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/8231723255981188317?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"16891702822552942751":{"videoId":"16891702822552942751","title":"Çok değişkenli fonksiyonlar tanım görüntü ve grafikleri","cleanTitle":"Çok değişkenli fonksiyonlar tanım görüntü ve grafikleri","host":{"title":"YouTube","href":"http://www.youtube.com/live/WLNdupHhXjM","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/WLNdupHhXjM?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1781,"text":"29:41","a11yText":"Süre 29 dakika 41 saniye"},"date":"19 mayıs 2020","modifyTime":1589846400000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/WLNdupHhXjM?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=WLNdupHhXjM","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":1781},"parentClipId":"16891702822552942751","href":"/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/16891702822552942751?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"3744887238443797380":{"videoId":"3744887238443797380","title":"Dairenin çevresi ve alanı soru çözümü","cleanTitle":"Dairenin çevresi ve alanı soru çözümü","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=hcbHRJvs9x8","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/hcbHRJvs9x8?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":997,"text":"16:37","a11yText":"Süre 16 dakika 37 saniye"},"date":"17 mayıs 2020","modifyTime":1589673600000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/hcbHRJvs9x8?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=hcbHRJvs9x8","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":997},"parentClipId":"3744887238443797380","href":"/preview/3744887238443797380?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/3744887238443797380?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2543276411543972191":{"videoId":"2543276411543972191","title":"Dairenin çevresi ve alanı","cleanTitle":"Dairenin çevresi ve alanı","host":{"title":"YouTube","href":"http://www.youtube.com/live/q5Ot-vv7GOg","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/q5Ot-vv7GOg?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"https://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":987,"text":"16:27","a11yText":"Süre 16 dakika 27 saniye"},"date":"16 mayıs 2020","modifyTime":1589587200000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/q5Ot-vv7GOg?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=q5Ot-vv7GOg","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":987},"parentClipId":"2543276411543972191","href":"/preview/2543276411543972191?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/2543276411543972191?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"11143363477500217461":{"videoId":"11143363477500217461","title":"İki değişkenli fonksiyonlar ve limit","cleanTitle":"İki değişkenli fonksiyonlar ve limit","host":{"title":"YouTube","href":"http://www.youtube.com/live/f-odkHPGX-I","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/f-odkHPGX-I?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"https://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1550,"text":"25:50","a11yText":"Süre 25 dakika 50 saniye"},"date":"16 mayıs 2020","modifyTime":1589587200000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/f-odkHPGX-I?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=f-odkHPGX-I","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":1550},"parentClipId":"11143363477500217461","href":"/preview/11143363477500217461?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/11143363477500217461?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"5435357210965559339":{"videoId":"5435357210965559339","title":"İki değişkenli fonksiyonlarda limit","cleanTitle":"İki değişkenli fonksiyonlarda limit","host":{"title":"YouTube","href":"http://www.youtube.com/live/fAgOOWc7gJo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/fAgOOWc7gJo?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"https://www.youtube.com/channel/UCN0cEjKIegavsgfCg-Jv6uQ","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":1133,"text":"18:53","a11yText":"Süre 18 dakika 53 saniye"},"date":"16 mayıs 2020","modifyTime":1589587200000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/fAgOOWc7gJo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=fAgOOWc7gJo","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":1133},"parentClipId":"5435357210965559339","href":"/preview/5435357210965559339?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/5435357210965559339?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"18012241951570850066":{"videoId":"18012241951570850066","title":"Olmaz ama olsun.(kisa çözüm)","cleanTitle":"Olmaz ama olsun.(kisa çözüm)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=LDkptAlZGJk","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/LDkptAlZGJk?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":139,"text":"2:19","a11yText":"Süre 2 dakika 19 saniye"},"date":"15 mayıs 2020","modifyTime":1589500800000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/LDkptAlZGJk?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=LDkptAlZGJk","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":139},"parentClipId":"18012241951570850066","href":"/preview/18012241951570850066?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/18012241951570850066?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"12018127332210729750":{"videoId":"12018127332210729750","title":"Kısa çözüm tipleri mutlak değer","cleanTitle":"Kısa çözüm tipleri mutlak değer","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=eaUUJO8zevw","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/eaUUJO8zevw?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":538,"text":"8:58","a11yText":"Süre 8 dakika 58 saniye"},"date":"13 mayıs 2020","modifyTime":1589328000000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/eaUUJO8zevw?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=eaUUJO8zevw","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":538},"parentClipId":"12018127332210729750","href":"/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/12018127332210729750?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"2090443934888886666":{"videoId":"2090443934888886666","title":"Menelaus Teoremi","cleanTitle":"Menelaus Teoremi","host":{"title":"YouTube","href":"http://www.youtube.com/live/U31GNOLIwxo","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/U31GNOLIwxo?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":710,"text":"11:50","a11yText":"Süre 11 dakika 50 saniye"},"date":"10 mayıs 2020","modifyTime":1589068800000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/U31GNOLIwxo?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=U31GNOLIwxo","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":710},"parentClipId":"2090443934888886666","href":"/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/2090443934888886666?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false},"9213159813577661130":{"videoId":"9213159813577661130","title":"Polinomda kısa çözüm(L'hospital limit kullanma)","cleanTitle":"Polinomda kısa çözüm(L'hospital limit kullanma)","host":{"title":"YouTube","href":"http://www.youtube.com/watch?v=K9dRvN4rC0E","playerUri":"\u003ciframe src=\"//www.youtube.com/embed/K9dRvN4rC0E?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":"d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ==","name":"Aşkı Matematik","isVerified":false,"subscribersCount":0,"url":"/video/search?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&text=A%C5%9Fk%C4%B1+Matematik","origUrl":"http://www.youtube.com/@askmatematik9152","a11yText":"Aşkı Matematik. "},"faviconUrl":"//favicon.yandex.net/favicon/v2/http%3A%2F%2Fyoutube.com?color=255%2C255%2C255%2C0&size=32&stub=1"},"duration":{"value":356,"text":"5:56","a11yText":"Süre 5 dakika 56 saniye"},"date":"10 mayıs 2020","modifyTime":1589068800000,"isExternal":false,"shouldShowQuasar":false,"player":{"embedUrl":"https://www.youtube.com/embed/K9dRvN4rC0E?autoplay=1&enablejsapi=1&wmode=opaque","playerId":"youtube","videoUrl":"http://www.youtube.com/watch?v=K9dRvN4rC0E","reqid":"1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL","duration":356},"parentClipId":"9213159813577661130","href":"/preview/9213159813577661130?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","rawHref":"/video/preview/9213159813577661130?channelId=d3d3LnlvdXR1YmUuY29tO1VDTjBjRWpLSWVnYXZzZ2ZDZy1KdjZ1UQ%3D%3D&how=tm&parent-reqid=1754735206111639-15279556971856183561-balancer-l7leveler-kubr-yp-vla-31-BAL&text=A%C5%9Fk%C4%B1+Matematik","isEmbedOnly":false,"shouldPlayInstreamPreroll":false}}},"viewer":{"_isInitial":false,"clips":{"items":{},"dups":{},"loadingStatus":"None"},"internal":{"videoId":"","sandboxEventPrefix":"sandbox:","sandboxVersion":"0xe4bf0db8254","isHermione":false,"isEmbedded":false,"from":"yavideo","service":"ya-video","hbPeriod":30,"table":"video_tech","isInstreamDisabled":false,"nonce":"5279556971856183561731","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":{"regular":{"default":"R-I-48058-715","mail":"R-A-13411721-3"},"adult":{"default":"R-I-474674-108","mail":"R-A-13426421-3"}},"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"}}},"shouldValidateSandbox":false,"sandboxInitTimeout":15000,"isSSROnlyMastheadEnabled":true,"query":"Aşkı Matematik","queryUriEscaped":"A%C5%9Fk%C4%B1%20Matematik","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":{}}}}