{"id":129487,"date":"2024-06-08T20:35:51","date_gmt":"2024-06-08T17:35:51","guid":{"rendered":"https:\/\/milliycha.uz\/?p=129487"},"modified":"2024-06-08T20:35:54","modified_gmt":"2024-06-08T17:35:54","slug":"kompleks-sonlar","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/kr\/kompleks-sonlar\/","title":{"rendered":"Kompleks sonlar"},"content":{"rendered":"\n<p>Kompleks sonlar &#8211; a +b ko&#8217;ri nishidagi sonlar; bunda a va b haqiqiy sonlar, \/ esa mavhum birlik, i2\u2014 \u2014 1 shartni qanoatlantiruvchi mavhum bir- lik a K. s.ning haqiqiy qismi, b esa mavhum qismi deyiladi; b=Q bo&#8217;lganda K. s. haqiqiy, feO va a=0 bo&#8217;lganda K. s. \u2014 sof mavhum son bo&#8217;ladi. Har bir a+b K. s. geometrik jihatdan tekislik- ning koordinatalari a va b dan iborat nuqtalari orqali tasvirlanadi. Agar bu nuqtaning qutb koordinatalarini g va j orqali belgilasak, u holda mos K. s.ni r(cos&lt;p+\/ sincp) ko&#8217;rinishda tasvirlash mumkin, bu K. s.ning trigonometrik son a+b shaklidir; K.s.ning moduli deyiladi.&#8217;sr = arctg ^ esa K.s.ning argumenti deyiladi. Trigonometrik shakldagi K.s.ni ko&#8217;paytirish qulay: K.s. ko&#8217;paytirishda ularning moduli ko&#8217;paytiriladi, Argu- mentlari esa qo&#8217;shiladi. Bu qoidadan ingliz matematigi I. Muavr formulasi kelib chiqadi: (cosq> + s&#8217;mcp)&#8221; = cos&#8221;&lt;p + \/ sin n&lt;p. K. s to&#8217;plami algebraik&#8221;yopiq maydon hosil qiladi va u maydon S b-n belgila- nadi. S maydon haqiqiy sonlar maydoni- ning kengaytirilganidir. Tarixan K. s. ikkinchi darajali tenglamalarni echish munosabati b-n kiritilgan. Kub tengla- maning xaqiqiy ildizlarini topish ma- salasi K. s. ustida amallar bajarishni talab qiladi.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kompleks sonlar &#8211; a +b ko&#8217;ri nishidagi sonlar; bunda a va b haqiqiy sonlar, \/ esa mavhum birlik, i2\u2014 \u2014 1 shartni qanoatlantiruvchi mavhum bir- lik a K. s.ning haqiqiy &hellip; <a href=\"https:\/\/milliycha.uz\/kr\/kompleks-sonlar\/\" 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":[201],"tags":[],"class_list":["post-129487","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-k-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\/129487","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=129487"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/129487\/revisions"}],"predecessor-version":[{"id":129494,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/129487\/revisions\/129494"}],"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=129487"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/categories?post=129487"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/tags?post=129487"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}