{"id":134283,"date":"2024-06-15T15:34:47","date_gmt":"2024-06-15T12:34:47","guid":{"rendered":"https:\/\/milliycha.uz\/?p=134283"},"modified":"2024-06-15T15:34:49","modified_gmt":"2024-06-15T12:34:49","slug":"garmonik-funktsiyalar","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/kr\/garmonik-funktsiyalar\/","title":{"rendered":"Garmonik funktsiyalar"},"content":{"rendered":"\n<p>Garmonik funktsiyalar &#8211; La- plas tenglamasini kanoatlantiradigan biror sohada birinchi va ikkinchi tar- tibli hosilalari b-n uzluksiz bo&#8217;lgan haqiqiy funktsiyalar. Muhim vector maydonlarning potentsiallari (mas, siqilmaydigan bir jinsli suyuqlik harakatida tezlik potentsiali, jism ichida t-raning tarqalishi va b.) G.f. hisoblanadi. Ikki x, u o&#8217;zgaruvchining g. f. i kompleks z = x + iy o&#8217;zgaruvchining analitik funktsiyasi \/ (x) b-n uzviy bog&#8217;langan. Har bir i (x, u) g.f. biror analitik \/ (x) funktsiyaning haqiqiy yoki mavhum qismi va, aksincha, ixtiyoriy ana- litik funktsiyaning haqiqiy va mavhum qismlari g. f. bo&#8217;ladi. G. f. nazariyasi- ning eng muhim masalalari chegaraviy masalalardan ibo-rat. Bulardan biri Dirixle masalasi bo&#8217;lib, bunda biror soha ichidagi g. f. soha chegarasida be- rilgan qiymatlariga asosan izlanadi. G. f. nazariyasining bu va b. chegaraviy masalalarini echish uchun nazariy va amaliy jihatdan ahamiyati katta bo&#8217;lgan turli usullar ishlab chiqilgan. G.f. naza- riyasini fizika va texnika masalalariga tatbiq qilishda chegaraviy masalalarni sopli echish usullarini ishlab chiqish juda muhim (q. Matematik fizika ten- glamalari).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Garmonik funktsiyalar &#8211; La- plas tenglamasini kanoatlantiradigan biror sohada birinchi va ikkinchi tar- tibli hosilalari b-n uzluksiz bo&#8217;lgan haqiqiy funktsiyalar. Muhim vector maydonlarning potentsiallari (mas, siqilmaydigan bir jinsli suyuqlik harakatida &hellip; <a href=\"https:\/\/milliycha.uz\/kr\/garmonik-funktsiyalar\/\" 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":[210],"tags":[],"class_list":["post-134283","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-g-harfi-2","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\/134283","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=134283"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/134283\/revisions"}],"predecessor-version":[{"id":134300,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/134283\/revisions\/134300"}],"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=134283"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/categories?post=134283"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/tags?post=134283"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}