{"id":127119,"date":"2024-05-21T18:42:05","date_gmt":"2024-05-21T15:42:05","guid":{"rendered":"https:\/\/milliycha.uz\/?p=127119"},"modified":"2024-05-21T18:42:11","modified_gmt":"2024-05-21T15:42:11","slug":"sirt-integrali","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/kr\/sirt-integrali\/","title":{"rendered":"Sirt integrali"},"content":{"rendered":"\n<p>Sirt integrali &#8211; biror S sirt- da berilgan f(x, u, z) funktsiyadan olingan intefal. S sirt sillik, efi chiziklar yordamida sp &#8230; , sn bo&#8217;lakchalarga ajra- tiladi. 5. dagi ixtiyoriy mg=(XG yjt i) nuqtani olib, yig&#8217;indi tuziladi, bunda- gi dsj miqdor st bo&#8217;lakchaning sirti. Agar s, bo&#8217;lakchalar diametrlarining eng kat- tasi nolga intilganda yig&#8217;indi (1) biror chekli limitga ega bo&#8217;lsa, bu limit f(x, u, z) funktsiyadan S sirt bo&#8217;yicha olingan bi- rinchi turdagi S. i. deyiladi va ilf(x,y,z) ds kabi belgilanadi. Mas, S da sirt zich- ligi \/ga teng bo&#8217;lgan massa taqsimlangan bo&#8217;lsa, \/ dan S bo&#8217;yicha olingan integral S sirtning umumiy massasini ifoda- laydi. Fizika va mexanikaning ayrim masalalarida, mas, suyuqlikning sirt orqali o&#8217;tuvchi oqimini aniklashda, 5; yuzachalar o&#8217;rniga ularning 3 ta koordi- nata tekisligidagi proektsiyalarining yuzlari qaraladi. Bu holda S sirt ori- entasiyalangan (ya&#8217;ni sirtga o&#8217;tkazilgan normallar yo&#8217;nalishlarining qaysi biri musbat hisoblanishi ko&#8217;rsatilgan) bo&#8217;lishi kerak. Bunday yig&#8217;indilarning limitlari ikkinchi turdagi S. i. deyila- Di. Orientasiyalangan sirtlarda, faqat, birinchi turdagi S. i. qaraladi. Matema- tika va uning tatbiklarida birinchi tur- dagi S.i.larni egri chiziqli integrallar b-n bog&#8217;lovchi Stoke formulasi, ikkinchi turdagi S.i.larni hajm integrallar b-n bog&#8217;lovchi Ostrogradskiy formulasi muhim ahamiyatga ega.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Sirt integrali &#8211; biror S sirt- da berilgan f(x, u, z) funktsiyadan olingan intefal. S sirt sillik, efi chiziklar yordamida sp &#8230; , sn bo&#8217;lakchalarga ajra- tiladi. 5. dagi ixtiyoriy &hellip; <a href=\"https:\/\/milliycha.uz\/kr\/sirt-integrali\/\" 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":[206],"tags":[],"class_list":["post-127119","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-s-harfi","entry"],"translation":{"provider":"WPGlobus","version":"3.0.2","language":"kr","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\/kr\/wp-json\/wp\/v2\/posts\/127119","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/comments?post=127119"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/127119\/revisions"}],"predecessor-version":[{"id":127151,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/127119\/revisions\/127151"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/media\/99837"}],"wp:attachment":[{"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/media?parent=127119"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/categories?post=127119"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/tags?post=127119"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}