• Gündem
  • Alışveriş
  • Finans
  • YaCevap
  • Video
  • Görsel
  • Ana Sayfa
  • İnsanlar
  • Sinema
  • Coğrafya
  • Kurum
  • Bilim
  • Aygıt
  • Müzik
  • Yazılım
  • Canlılar
  • İlaç
  • Olay
  • Gida
  • Otomobil
  • Kimyasal Bileşim
  • Hastalık
  • Diğerleri
  • Buradasın
    • Yawiki ›
    • Bilim ›

    Jensen eşitsizliği

    Matematiksel Eşitsizlik
    youtube.com sitesinden görsel
    youtube.com sitesinden görsel
    tr.wikial.top sitesinden görsel
    algotrader.app sitesinden görsel
    math.stackexchange.com sitesinden görsel

    Yazeka

    Arama sonuçlarına dayanarak oluşturuldu

    Jensen eşitsizliği, dışbükey fonksiyonlar için temel bir matematiksel eşitsizliktir. Bir fonksiyonun beklenen değerinin, fonksiyonun ortalama değerinden küçük veya eşit olduğunu belirtir.12

    Danimarkalı matematikçi Johan Jensen tarafından 1905'te ortaya konmuştur. Özellikle olasılık teorisi ve istatistikte yaygın olarak kullanılır.13

    Aritmetik-geometrik ortalama eşitsizliği gibi diğer eşitsizliklerin temelini oluşturur. Risk yönetimi ve sigorta prim hesaplamalarında da önemli bir rol oynar.24

    tr.wikipedia.org1
    aktuerdunyasi.wordpress.com2
    acikerisim.harran.edu.tr:80803
    tr.python-3.com4

    Matematik teoremleri

    Üçgen
    eşitsizliği
    Young's
    inequality
    Pisagor
    teoremi
    Pisagor
    trigonometrik özdeşliği
    Kalkülüsün
    temel teoremi
    Bayes
    teoremi
    Poincaré
    hipotezi
    Euler
    formülü
    Yanıt, yapay zeka tarafından internetteki kaynaklara dayanarak oluşturulmuştur. Hatalar içerebilir.
    Yazeka hakkındatr.wikipedia.orgyoutube.com
    • © 2025 Yandex
    • Gizlilik politikası
    • Kullanıcı sözleşmesi
    • Hata bildir
    • Şirket hakkında
    {"hah00":{"state":{"logoProps":{"url":"https://yandex.com.tr"},"formProps":{"action":"https://yandex.com.tr/search","searchLabel":"Bul"},"services":{"activeItemId":"yawiki","items":[{"url":"https://yandex.com.tr/gundem","title":"Gündem","id":"agenda"},{"url":"https://yandex.com.tr/shopping","title":"Alışveriş","id":"shopping"},{"url":"https://yandex.com.tr/finance","title":"Finans","id":"finance"},{"url":"https://yandex.com.tr/yacevap","title":"YaCevap","id":"answers"},{"url":"https://yandex.com.tr/video/search?text=popüler+videolar","title":"Video","id":"video"},{"url":"https://yandex.com.tr/gorsel","title":"Görsel","id":"images"}]},"userProps":{"loggedIn":false,"ariaLabel":"Menü","plus":false,"birthdayHat":false,"child":false,"isBirthdayUserId":true,"className":"PortalHeader-User"},"userIdProps":{"flag":"skin","lang":"tr","host":"yandex.com.tr","project":"yawiki","queryParams":{"utm_source":"portal-yawiki"},"retpath":"https%3A%2F%2Fyandex.com.tr%2Fyawiki%2Fscience%2Fjensen_e%25C5%259Fitsizli%25C4%259Fi%2F0oCghydXc0NTE5MhgE5Ymzfg%3Flr%3D213%26text%3Dyawiki%26ncrnd%3D2671","tld":"com.tr"},"suggestProps":{"selectors":{"form":".HeaderForm","input":".HeaderForm-Input","submit":".HeaderForm-Submit","clear":".HeaderForm-Clear","layout":".HeaderForm-InputWrapper"},"suggestUrl":"https://yandex.com.tr/suggest/suggest-ya.cgi?show_experiment=222&show_experiment=224","deleteUrl":"https://yandex.com.tr/suggest-delete-text?srv=web&text_to_delete=","suggestPlaceholder":"Yapay zeka ile bul","platform":"desktop","hideKeyboardOnScroll":false,"additionalFormClasses":["mini-suggest_theme_tile","mini-suggest_overlay_tile","mini-suggest_expanding_yes","mini-suggest_prevent-empty_yes","mini-suggest_type-icon_yes","mini-suggest_personal_yes","mini-suggest_type-icon_yes","mini-suggest_rich_yes","mini-suggest_overlay_dark","mini-suggest_large_yes","mini-suggest_copy-fact_yes","mini-suggest_clipboard_yes","mini-suggest_turboapp_yes","mini-suggest_expanding_yes","mini-suggest_affix_yes","mini-suggest_carousel_yes","mini-suggest_traffic_yes","mini-suggest_re-request_yes","mini-suggest_source_yes","mini-suggest_favicon_yes","mini-suggest_more","mini-suggest_long-fact_yes","mini-suggest_hide-keyboard_yes","mini-suggest_clear-on-submit_yes","mini-suggest_focus-on-change_yes","mini-suggest_short-fact_yes","mini-suggest_app_yes","mini-suggest_grouping_yes","mini-suggest_entity-suggest_yes","mini-suggest_redesigned-navs_yes","mini-suggest_title-multiline_yes","mini-suggest_type-icon-wrapped_yes","mini-suggest_fulltext-highlight_yes","mini-suggest_fulltext-insert_yes","mini-suggest_lines_multi"],"counter":{"service":"yawiki_com_tr_desktop","url":"//yandex.ru/clck/jclck","timeout":300,"params":{"dtype":"stred","pid":"0","cid":"2873"}},"noSubmit":false,"formAction":"https://yandex.com.tr/search","tld":"com.tr","suggestParams":{"srv":"serp_com_tr_desktop","wiz":"TrWth","yu":"9456016031754450288","lr":213,"uil":"tr","fact":1,"v":4,"use_verified":1,"safeclick":1,"skip_clickdaemon_host":1,"rich_nav":1,"verified_nav":1,"rich_phone":1,"use_favicon":1,"nav_favicon":1,"mt_wizard":1,"history":1,"nav_text":1,"maybe_ads":1,"icon":1,"hl":1,"n":10,"portal":1,"platform":"desktop","mob":0,"extend_fw":1,"suggest_entity_desktop":"1","entity_enrichment":"1","entity_max_count":"5"},"disableWebSuggest":false},"context":{"query":"","reqid":"1754450357412232-4903803662219208324-balancer-l7leveler-kubr-yp-klg-147-BAL","lr":"213","aliceDeeplink":"{\"text\":\"yawiki\"}"},"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w01-0-1"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"header"}}}}},"type":"entitysearch","subtype":"header"},"hah01":{"state":{"links":[{"id":"main","title":"Ana Sayfa","url":"/yawiki","target":"_self"},{"id":"people","title":"İnsanlar","url":"/yawiki/people","target":"_self"},{"id":"film","title":"Sinema","url":"/yawiki/film","target":"_self"},{"id":"geography","title":"Coğrafya","url":"/yawiki/geography","target":"_self"},{"id":"organization","title":"Kurum","url":"/yawiki/organization","target":"_self"},{"id":"science","title":"Bilim","url":"/yawiki/science","target":"_self"},{"id":"device","title":"Aygıt","url":"/yawiki/device","target":"_self"},{"id":"music","title":"Müzik","url":"/yawiki/music","target":"_self"},{"id":"software","title":"Yazılım","url":"/yawiki/software","target":"_self"},{"id":"organism","title":"Canlılar","url":"/yawiki/organism","target":"_self"},{"id":"medicine","title":"İlaç","url":"/yawiki/medicine","target":"_self"},{"id":"event","title":"Olay","url":"/yawiki/event","target":"_self"},{"id":"food","title":"Gida","url":"/yawiki/food","target":"_self"},{"id":"auto","title":"Otomobil","url":"/yawiki/auto","target":"_self"},{"id":"chemical_compound","title":"Kimyasal Bileşim","url":"/yawiki/chemical_compound","target":"_self"},{"id":"disease","title":"Hastalık","url":"/yawiki/disease","target":"_self"},{"id":"others","title":"Diğerleri","url":"/yawiki/others","target":"_self"}],"activeLinkId":"science","title":"Kategoriler","baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w02-0-1"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"header-categories"}}}}},"type":"entitysearch","subtype":"header-categories"},"hah02":{"state":{"className":"YawikiEntity-Breadcrumbs","items":[{"name":"Yawiki","url":"//yandex.com.tr/yawiki"},{"name":"Bilim","url":"//yandex.com.tr/yawiki/science"}],"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w03-0-1"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"object"}}}}},"type":"entitysearch","subtype":"object"},"hah03":{"state":{"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w03-0-2"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"object"}}}}},"type":"entitysearch","subtype":"object"},"hah04":{"state":{"wideGallery":[{"image":"//avatars.mds.yandex.net/get-entity_search/2327175/1184042544/SUx182","origWidth":480,"origHeight":270,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//i.ytimg.com/vi/-RCKiMS9bz0/maxresdefault.jpg&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"youtube.com sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/2327175/1184042544/S600xU_2x","srcUrl":"https://www.youtube.com/watch?v=-RCKiMS9bz0","srcHost":"youtube.com"},{"image":"//avatars.mds.yandex.net/get-entity_search/2077223/1180940698/SUx182","origWidth":480,"origHeight":279,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//upload.wikimedia.org/wikipedia/commons/thumb/3/33/Jensen%27s_Inequality_Proof_Without_Words.png/700px-Jensen%27s_Inequality_Proof_Without_Words.png&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"tr.wikial.top sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/2077223/1180940698/S600xU_2x","srcUrl":"https://tr.wikial.top/wiki/Jensen's_inequality","srcHost":"tr.wikial.top"},{"image":"//avatars.mds.yandex.net/get-entity_search/6454749/1183022941/SUx182","origWidth":480,"origHeight":133,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//i0.wp.com/i.stack.imgur.com/JM2FS.jpg&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"algotrader.app sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/6454749/1183022941/S600xU_2x","srcUrl":"https://algotrader.app/search/Jensen+Inequality/","srcHost":"algotrader.app"},{"image":"//avatars.mds.yandex.net/get-entity_search/127082/1185152812/SUx182","origWidth":480,"origHeight":110,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//i.sstatic.net/e5OzU.png&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"math.stackexchange.com sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/127082/1185152812/S600xU_2x","srcUrl":"https://math.stackexchange.com/questions/938647/how-to-prove-the-inequality-using-jensens-inequlaity","srcHost":"math.stackexchange.com"},{"image":"//avatars.mds.yandex.net/get-entity_search/372318/949370914/SUx182","origWidth":480,"origHeight":269,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//upload.wikimedia.org/wikipedia/commons/thumb/5/52/Convex_01.ogv/640px--Convex_01.ogv.jpg&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"commons.wikimedia.org sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/372318/949370914/S600xU_2x","srcUrl":"https://commons.wikimedia.org/wiki/File:Convex_01.ogv","srcHost":"commons.wikimedia.org"},{"image":"//avatars.mds.yandex.net/get-entity_search/2115007/1185251979/SUx182","origWidth":480,"origHeight":250,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//upload.wikimedia.org/wikipedia/commons/thumb/c/c7/ConvexFunction.svg/768px-ConvexFunction.svg.png&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"wiki2.org sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/2115007/1185251979/S600xU_2x","srcUrl":"https://wiki2.org/en/File:ConvexFunction_svg","srcHost":"wiki2.org"}],"mainImage":{"image":"//avatars.mds.yandex.net/get-entity_search/1530989/1182054906/SUx182_2x","origWidth":480,"origHeight":270,"searchUrl":"https://yandex.com.tr/gorsel/search?rpt=simage&noreask=1&source=qa&text=Jensen+e%C5%9Fitsizli%C4%9Fi+Matematiksel+E%C5%9Fitsizlik&img_url=https%3A//i.ytimg.com/vi/ULb7XjJg6F0/maxresdefault.jpg&lr=983&json_dump=searchdata.numdocs&json_dump=searchdata.images&nomisspell=1&srcskip=IMAGESQUICK&json_dump=reqparam.tld&relev=new_family_filter_disable=1&nocache=da&no-tests=da&pron=sm_mind&pron=smm_1.0","alt":"youtube.com sitesinden görsel","largeImage":"//avatars.mds.yandex.net/get-entity_search/1530989/1182054906/S600xU_2x","srcUrl":"https://www.youtube.com/watch?v=ULb7XjJg6F0","srcHost":"youtube.com"},"imagesLink":"//yandex.com.tr/gorsel/search?text=Jensen%20e%C5%9Fitsizli%C4%9Fi&stype=image&lr=213&parent-reqid=1754450357412232-4903803662219208324-balancer-l7leveler-kubr-yp-klg-147-BAL","name":"gallery","initialWidth":536,"height":226,"wrapInItem":false,"logParams":{"trailer":{},"poster":{}},"contextJsSrc":"//yandex.ru/ads/system/context.js","baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w03-0-4"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"object"}}}}},"type":"entitysearch","subtype":"object"},"hah05":{"state":{"title":{"search_request":"Jensen eşitsizliği matematik teoremleri","entref":"0oEhFydXc0NTE5MjpjdXN0b206MBgEehRNYXRlbWF0aWsgdGVvcmVtbGVyaWCCH_Q","text":"Matematik teoremleri","url":"//yandex.com.tr/search?text=Jensen%20e%C5%9Fitsizli%C4%9Fi%20matematik%20teoremleri&noreask=1&ento=0oEhFydXc0NTE5MjpjdXN0b206MBgEehRNYXRlbWF0aWsgdGVvcmVtbGVyaWCCH_Q"},"logAttrs":{"subtype":"upper"},"items":[{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/5394189/1182755563/S88x88_2x","placeholder":"#C9CCFB","hover":{"type":"fade"}},"url":"/yawiki/science/%C3%BC%C3%A7gen_e%C5%9Fitsizli%C4%9Fi/0oCghydXc1NDQyNhgEn8DzIg","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw54426"},"index":0},"title":{"text":"Üçgen eşitsizliği","lines":2,"maxLettersPerLine":9},"tooltipText":"Üçgen eşitsizliği"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/793860/883132583/S88x88Smart_2x","placeholder":"#FCFCFC","hover":{"type":"fade"}},"url":"//yandex.com.tr/search?text=Young%27s%20inequality%20for%20products&noreask=1&ento=0oCglydXcyNDQ5MDkSEXJ1dzQ1MTkyOmN1c3RvbTowGAR6FE1hdGVtYXRpayB0ZW9yZW1sZXJpI-stjg","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw244909"},"index":1},"title":{"text":"Young's inequality","lines":2,"maxLettersPerLine":9},"tooltipText":"Young's inequality"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/1107819/1180329045/S88x88Smart_2x","placeholder":"#000000","hover":{"type":"fade"}},"url":"/yawiki/science/pisagor_teoremi/0oCghydXcxNDU0MRgE2nh-uQ","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw14541"},"index":2},"title":{"text":"Pisagor teoremi","lines":2,"maxLettersPerLine":9},"tooltipText":"Pisagor teoremi"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/937587/1077168075/S88x88Smart_2x","placeholder":"#010101","hover":{"type":"fade"}},"url":"/yawiki/science/pisagor_trigonometrik_%C3%B6zde%C5%9Fli%C4%9Fi/0oCgpydXczMjYzOTE3GASpR2PT","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw3263917"},"index":3},"title":{"text":"Pisagor trigonometrik özdeşliği","lines":2,"maxLettersPerLine":9},"tooltipText":"Pisagor trigonometrik özdeşliği"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/5655260/930454467/S88x88Smart_2x","placeholder":"#000000","hover":{"type":"fade"}},"url":"/yawiki/science/kalk%C3%BCl%C3%BCs%C3%BCn_temel_teoremi/0oCglydXc4NjgwNTYYBFmyb2I","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw868056"},"index":4},"title":{"text":"Kalkülüsün temel teoremi","lines":2,"maxLettersPerLine":9},"tooltipText":"Kalkülüsün temel teoremi"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/1720441/1051404081/S88x88Smart_2x","placeholder":"#FDFDFD","hover":{"type":"fade"}},"url":"/yawiki/science/bayes_teoremi/0oCgdydXc2MDczGAR6OwYl","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw6073"},"index":5},"title":{"text":"Bayes teoremi","lines":2,"maxLettersPerLine":9},"tooltipText":"Bayes teoremi"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/1327047/1045009159/S88x88Smart_2x","placeholder":"#DCDCDC","hover":{"type":"fade"}},"url":"/yawiki/science/poincar%C3%A9_hipotezi/0oCgdydXczOTExGATV9uJi","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw3911"},"index":6},"title":{"text":"Poincaré hipotezi","lines":2,"maxLettersPerLine":9},"tooltipText":"Poincaré hipotezi"},{"thumb":{"width":88,"height":88,"image":"//avatars.mds.yandex.net/get-entity_search/10349888/1182253539/S88x88_2x","placeholder":"#FEFEFE","hover":{"type":"fade"}},"url":"/yawiki/science/euler_form%C3%BCl%C3%BC/0oCghydXc4MTUzMRgENDoLIQ","logNodeAttrs":{"externalId":{"entity":"entity-collection","id":"ruw81531"},"index":7},"title":{"text":"Euler formülü","lines":2,"maxLettersPerLine":9},"tooltipText":"Euler formülü"}],"list":{"scroller":{"arrowsAlignHeight":88},"type":"upper"},"lazyLimit":6,"wrapInItem":false,"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w03-0-6"},"ui":"desktop","service":"yawiki","fast":{"name":"entitysearch","subtype":"object"}}}}},"type":"entitysearch","subtype":"object"},"hah06":{"state":{"generalLinks":[{"id":"privacy-policy","text":"Gizlilik politikası","url":"https://yandex.com.tr/legal/privacy_policy/"},{"id":"terms-of-service","text":"Kullanıcı sözleşmesi","url":"https://yandex.com.tr/legal/tos/"},{"id":"report-error","text":"Hata bildir","url":"https://forms.yandex.com.tr/surveys/13748122.01a6645a1ef15703c9b82a7b6c521932ddc0e3f7/"},{"id":"about-company","text":"Şirket hakkında","url":"https://yandex.com.tr/project/portal/contacts/"}],"copyright":{"url":"https://yandex.com.tr","currentYear":2025},"socialLinks":[{"type":"tiktok","url":"https://redirect.appmetrica.yandex.com/serve/677728751613663494","title":"TikTok"},{"url":"https://redirect.appmetrica.yandex.com/serve/173325632992778150","type":"youtube","title":"Youtube"},{"url":"https://redirect.appmetrica.yandex.com/serve/677728793472889615","type":"facebook","title":"Facebook"},{"url":"https://redirect.appmetrica.yandex.com/serve/1182131906657966033","type":"instagram","title":"Instagram"},{"url":"https://redirect.appmetrica.yandex.com/serve/893945194569821080","type":"x","title":"X"}],"categoriesLink":[],"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"hah0w04-0-1"},"ui":"desktop","service":"yawiki","fast":{"name":"portal","subtype":"footer"}}}}},"type":"portal","subtype":"footer"}}