{"id":113932,"date":"2024-01-15T16:47:30","date_gmt":"2024-01-15T13:47:30","guid":{"rendered":"https:\/\/milliycha.uz\/?p=113932"},"modified":"2024-01-15T16:47:31","modified_gmt":"2024-01-15T13:47:31","slug":"qatorlar","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/ru\/qatorlar\/","title":{"rendered":"Qatorlar"},"content":{"rendered":"\n<p>Qatorlar \u2014 quyidagi ko&#8217;rinishdagi ifoda: a,+A2+&#8230;+AP+&#8230; X a kabi belgilanadi. Yig&#8217;indida qatnashgan ar A2, &#8230;, AP elementlar qatorning hadlari, AP esa umumiy hadi. Qatorning hadlari sonlar, funktsiyalar, vektorlar, matritsalar va boshqalarni ifodalashi mumkin. Shunga ko&#8217;ra, sonli, funktsional, vektorlar, matrisalar qatori bo&#8217;ladi. Agar NT 8p chekli limit mavjud bo&#8217;lsa, qator yaqinlashuvchi (bu yerda 8&#8243;=A1+A2+ + AP= \u00a3, a ~ qatorning qismiy yig&#8217;indisi; 8 \u2014 qator yig&#8217;indisi), aks holda uzoqlashuvchi deb ataladi. Qator yaqinlashishi bir qancha mezon va alomatlar yordamida tekshiriladi. Masalan, sonli Qatorlar uchun Koshi mezoni, taqqoslash alomatlari, D&#8217;Alamber, Koshi Raabe, Gauss, Leybnis, Abel, Dirixle, Koshi Maklorenning integral alomatlari va boshqalar mavjud. Sonli Qatorlar ning yaqinlashishini aniqlashda ko&#8217;p hollarda ularni quyidagi ikki qator bilan taqqoslash yaxshi natija beradi. Mutlaq yaqinlashuvchi qatorda uning yig&#8217;indisini o&#8217;zgartirmasdan hadlarining o&#8217;rnini almashtirish va ba&#8217;zi hadlarini birlashtirish mumkin. Shartli yaqinlashuvchi Qatorlarda bunday tasdiq o&#8217;rinli emas. Sonli bo&#8217;lmagan boshqa Qatorlarni tekshirish uchun ham sonli Qatorlarni tekshirishda ishlatiladigan va shunga o&#8217;xshash alomatlaridan foydalaniladi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Qatorlar \u2014 quyidagi ko&#8217;rinishdagi ifoda: a,+A2+&#8230;+AP+&#8230; X a kabi belgilanadi. Yig&#8217;indida qatnashgan ar A2, &#8230;, AP elementlar qatorning hadlari, AP esa umumiy hadi. Qatorning hadlari sonlar, funktsiyalar, vektorlar, matritsalar va &hellip; <a href=\"https:\/\/milliycha.uz\/ru\/qatorlar\/\" class=\"more-link\">Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":99837,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[191],"tags":[],"class_list":["post-113932","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-q-harfi","entry"],"translation":{"provider":"WPGlobus","version":"3.0.0","language":"ru","enabled_languages":["uz","kr","ru"],"languages":{"uz":{"title":true,"content":true,"excerpt":false},"kr":{"title":false,"content":false,"excerpt":false},"ru":{"title":false,"content":false,"excerpt":false}}},"_links":{"self":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/113932","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/comments?post=113932"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/113932\/revisions"}],"predecessor-version":[{"id":113941,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/posts\/113932\/revisions\/113941"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/media\/99837"}],"wp:attachment":[{"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/media?parent=113932"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/categories?post=113932"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/ru\/wp-json\/wp\/v2\/tags?post=113932"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}