{"id":123454,"date":"2024-05-13T18:47:26","date_gmt":"2024-05-13T15:47:26","guid":{"rendered":"https:\/\/milliycha.uz\/?p=123454"},"modified":"2024-05-13T18:47:30","modified_gmt":"2024-05-13T15:47:30","slug":"korrekt-va-nokorrekt-masalalar","status":"publish","type":"post","link":"https:\/\/milliycha.uz\/kr\/korrekt-va-nokorrekt-masalalar\/","title":{"rendered":"KORREKT VA NOKORREKT MASALALAR"},"content":{"rendered":"\n<p>KORREKT VA NOKORREKT MASALALAR (lot. correctus \u2014 to&#8217;zatilgan) \u2014 matematik masalalarning echimlari aniqliklariga qarab ba&#8217;zi shartlarga javob beradigan sinfi. Ko&#8217;pgina matema- tik masalalarda berilgan U boshlang&#8217;ich ma&#8217;lumotlar bo&#8217;yicha Ze4HM izlanadi. Bunda U va Z ushbu Z= R(U) funktsional bog&#8217;lanish b-n bog&#8217;langan hisoblanadi. Agar quyidagi shartlar (korrektlik shartlari) bajarilgan bo&#8217;lsa, masala korrekt masala (yoki korrekt quyilgan masala) deyiladi: 1) har qanday yo&#8217;l qo&#8217;yilishi mumkin bo&#8217;lgan boshlang&#8217;ich ma&#8217;lumotlarda masala echimga ega (echim- ning mavjudligi); 2) har bir boshlang&#8217;ich ma&#8217;lumot U ga faqat bitta echim to&#8217;g&#8217;ri keladi (masalaning bir qiymatliligi); 3) echim turg&#8217;un (ustuvor). Birinchi shartning mazmuni shundan iboratki, boshlang&#8217;ich ma&#8217;lumotlar ora- sida shartlarning bir-biriga zidlik qiladigani mavjud emas, agar mavjud bo&#8217;lganda masalaning echimi bo&#8217;lmasdi. Ikkinchi shartning mazmuni shunda- ki, masala echimining aniq bir qiymatli bo&#8217;lishi uchun boshlang&#8217;ich ma&#8217;lumotlar etarli. Bu ikki shart, odatda, masalaning matematik aniq bo&#8217;lish shartlari deyila- Di. Uchinchi shartning mazmuni quyidagicha: agar (\/, va U2 \u2014 boshlang&#8217;ich ma&#8217;lumotlarning ikkita har xil to&#8217;plami bo&#8217;lib, bir-biridan chetlashish farqi etarlicha kichik bo&#8217;lsa, u holda Z, = A&#8221;({\/,) va Z, = R(U2) echimlarning bir-biridan chetlashish o&#8217;lchami oldin- dan berilgan o&#8217;lchov aniqligidan kichik bo&#8217;ladi. Bunda mumkin bo&#8217;lgan boshlang&#8217;ich ma&#8217;lumotlarning \u00a3\/={\u00a3\/} ko&#8217;p xillili- gida va mumkin bo&#8217;lgan echimlarning Z= {z\\ ko&#8217;p xilligida r (\u00a3\/,, U2) va p*(zp z2) o&#8217;lchov chetlashishi (yaqinmas o&#8217;lchovi) tu- shunchalari belgilangan. Odatda, uchinchi shart masalaning tabiiy determinant- langanligi deb sharhlanadi. Bu shu b-n tushuntiriladiki, tabiiy masalaning boshlan-g&#8217;ich ma&#8217;lumotlari, odatda, ba&#8217;zi xatoliklar b-n beriladi; uchinchi shart buziladigan bo&#8217;lsa, boshlang&#8217;ich ma&#8217;lu- motlarning har qanday kichik o&#8217;zgarishi echimda katta o&#8217;zgarishlarni vujudga kel- tirishi mumkin. Shartlardan aqalli bittasini qano- atlantirmaydigan masalalar nokorrekt masalalar deyiladi. Masalalarning korrektliligiga frantsuz matematigi J. Adamar 1923 y.da xususiy hosilali tenglamalar uchun chegaraviy masalalarni echganda e&#8217;tibor bergan. Masalalarning korrektliligi tushunchasi, xususan, aytilgan tenglama- larning chegaraviy masalalarini sin- Flarga ajratishga sabab bo&#8217;lgan. Nokor- rekt masalalarni echishning taqribiy usullariga va ularni teskari masala- larni echish uchun tatbiq qilishga doir ko&#8217;pgina ilmiy ishlar mavjud. Bu ishlar kuzatuv materiallarini ishlashni Avto- matlashtirish, boshqaruv muammolarini hal qilish va b. uchun juda muhim.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>KORREKT VA NOKORREKT MASALALAR (lot. correctus \u2014 to&#8217;zatilgan) \u2014 matematik masalalarning echimlari aniqliklariga qarab ba&#8217;zi shartlarga javob beradigan sinfi. Ko&#8217;pgina matema- tik masalalarda berilgan U boshlang&#8217;ich ma&#8217;lumotlar bo&#8217;yicha Ze4HM izlanadi. &hellip; <a href=\"https:\/\/milliycha.uz\/kr\/korrekt-va-nokorrekt-masalalar\/\" 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-123454","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\/123454","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=123454"}],"version-history":[{"count":1,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/123454\/revisions"}],"predecessor-version":[{"id":123464,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/posts\/123454\/revisions\/123464"}],"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=123454"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/categories?post=123454"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/milliycha.uz\/kr\/wp-json\/wp\/v2\/tags?post=123454"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}