{"id":12987,"date":"2017-05-22T10:15:17","date_gmt":"2017-05-22T06:15:17","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=12987"},"modified":"2017-05-22T10:15:17","modified_gmt":"2017-05-22T06:15:17","slug":"riman-h%c9%99nd%c9%99s%c9%99si","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2017\/05\/22\/riman-h%c9%99nd%c9%99s%c9%99si\/","title":{"rendered":"Riman h\u0259nd\u0259s\u0259si"},"content":{"rendered":"<p style=\"text-align: justify;\">Riman h\u0259nd\u0259s\u0259si (elliptik h\u0259nd\u0259s\u0259) \u00dc\u00e7\u00f6l\u00e7\u00fcl\u00fc Evklid f\u0259zas\u0131nda sferan\u0131n iki\u00f6l\u00e7\u00fcl\u00fc h\u0259nd\u0259s\u0259si (burada sferan\u0131n diametral \u0259ks n\u00f6qt\u0259l\u0259ri eyni hesab olunur). Bu c\u00fcr s\u0259th proyektiv m\u00fcst\u0259vi il\u0259 topoloji ekvivalentdir. n-\u00f6l\u00e7\u00fcl\u00fc Riman h\u0259nd\u0259s\u0259si (n+1)-\u00f6l\u00e7\u00fcl\u00fc f\u0259zan\u0131n sferas\u0131nda modell\u0259\u015fdirilir. (Bu halda da sferan\u0131n diametral \u0259ks n\u00f6qt\u0259l\u0259ri eyni hesab olunur). Riman h\u0259nd\u0259s\u0259si d\u00fcz x\u0259tl\u0259ri sferan\u0131n b\u00f6y\u00fck \u00e7evr\u0259l\u0259ri hesab olunur (g\u00f6st\u0259ril\u0259n eynil\u0259\u015fdirm\u0259 il\u0259). Metrika (uzunluq, buca\u011f\u0131n \u00f6l\u00e7\u00fclm\u0259si v\u0259 s.) sferan\u0131n metrikas\u0131 il\u0259 eyni g\u00f6t\u00fcr\u00fcl\u00fcr. Riman h\u0259nd\u0259s\u0259si metrikas\u0131n\u0131 saxlayan v\u0259 f\u0259zan\u0131n ixtiyari n\u00f6qt\u0259sini onun ixtiyari ba\u015fqa n\u00f6qt\u0259sin\u0259 \u00e7evir\u0259n h\u0259r\u0259k\u0259t var. (Riman h\u0259nd\u0259s\u0259si bircinsliliyi).<br \/>\nRiman h\u0259nd\u0259s\u0259si Evklid h\u0259nd\u0259s\u0259si kimi aksiomatik veril\u0259 bil\u0259r. Lakin Riman h\u0259nd\u0259s\u0259si aksiomlar\u0131 sistemi Evklid h\u0259nd\u0259s\u0259sinin aksiomlar\u0131 sistemind\u0259n k\u00f6kl\u00fc sur\u0259td\u0259 f\u0259rql\u0259nir. M\u0259s\u0259l\u0259n, Riman h\u0259nd\u0259s\u0259si ixtiyari iki d\u00fcz x\u0259tt k\u0259si\u015fir. M\u00fcst\u0259vi f\u0259zan\u0131 iki yar\u0131mf\u0259zaya ay\u0131rm\u0131r v\u0259 s.<br \/>\nRiman h\u0259nd\u0259s\u0259si qeyri-evklid h\u0259nd\u0259s\u0259l\u0259ri aras\u0131nda indiy\u0259 kimi yax\u015f\u0131 \u00f6yr\u0259nil\u0259n h\u0259nd\u0259s\u0259l\u0259rd\u0259n biridir.<\/p>\n<p style=\"text-align: justify;\"><em>M\u0259nb\u0259: Misir M\u0259rdanov, Sabir Mirz\u0259yev, \u015eabala Sad\u0131qov, \u201cM\u0259kt\u0259blinin riyaziyyatdan izahl\u0131 l\u00fc\u011f\u0259ti\u201d kitab\u0131 , Bak\u0131 2016.<\/em><\/p>\n<p><em>\u00a9 B\u00fct\u00fcn h\u00fcquqlar qorunur. X\u0259b\u0259rl\u0259rd\u0259n istifad\u0259 ed\u0259rk\u0259n www.imm.az sayt\u0131na istinad z\u0259ruridir.<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Riman h\u0259nd\u0259s\u0259si (elliptik h\u0259nd\u0259s\u0259) \u00dc\u00e7\u00f6l\u00e7\u00fcl\u00fc Evklid f\u0259zas\u0131nda sferan\u0131n iki\u00f6l\u00e7\u00fcl\u00fc h\u0259nd\u0259s\u0259si (burada sferan\u0131n diametral \u0259ks n\u00f6qt\u0259l\u0259ri eyni hesab olunur). Bu c\u00fcr s\u0259th proyektiv m\u00fcst\u0259vi il\u0259 topoloji ekvivalentdir. n-\u00f6l\u00e7\u00fcl\u00fc Riman h\u0259nd\u0259s\u0259si (n+1)-\u00f6l\u00e7\u00fcl\u00fc f\u0259zan\u0131n sferas\u0131nda modell\u0259\u015fdirilir. (Bu halda da sferan\u0131n diametral \u0259ks n\u00f6qt\u0259l\u0259ri eyni hesab olunur). Riman h\u0259nd\u0259s\u0259si d\u00fcz x\u0259tl\u0259ri sferan\u0131n b\u00f6y\u00fck \u00e7evr\u0259l\u0259ri hesab olunur (g\u00f6st\u0259ril\u0259n eynil\u0259\u015fdirm\u0259 il\u0259). [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[77],"tags":[],"_links":{"self":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12987"}],"collection":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/users\/6"}],"replies":[{"embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/comments?post=12987"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12987\/revisions"}],"predecessor-version":[{"id":12988,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/12987\/revisions\/12988"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=12987"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=12987"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=12987"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}