{"id":16891,"date":"2018-02-01T10:00:03","date_gmt":"2018-02-01T06:00:03","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=16891"},"modified":"2018-01-30T14:51:51","modified_gmt":"2018-01-30T10:51:51","slug":"sermelo-aksiomu-2","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2018\/02\/01\/sermelo-aksiomu-2\/","title":{"rendered":"Sermelo aksiomu"},"content":{"rendered":"<p style=\"text-align: justify;\">Sermelo aksiomu yaxud se\u00e7m\u0259 prinsipi t\u0259sdiq edir ki, ist\u0259nil\u0259n bo\u015f olmayan \u00e7oxluqlardan ibar\u0259t sinif \u00fc\u00e7\u00fcn h\u0259r bir \u00e7oxlu\u011fa \u00f6z\u00fcn\u00fcn bir elementini qar\u015f\u0131 qoyan funksiya var. Ba\u015fqa s\u00f6zl\u0259, Sermelo aksiomu h\u00f6km edir ki, bo\u015f olmayan \u00e7oxluqlardan ibar\u0259t ist\u0259nil\u0259n sistemin h\u0259r bir \u00e7oxlu\u011fundan bir element g\u00f6t\u00fcrm\u0259k olar.<\/p>\n<p style=\"text-align: justify;\">Sermelo aksiomu 1904-c\u00fc ild\u0259 Sermelo t\u0259r\u0259find\u0259n ifad\u0259 edilmi\u015fdir. Sermelo bu aksioma, h\u0259r bir \u00e7oxlu\u011fun tam nizamlana bilm\u0259si haqq\u0131nda teoremi isbat ed\u0259nd\u0259 \u0259saslanm\u0131\u015fd\u0131r. Sermelo aksiomu riyaziyyat\u00e7\u0131lar aras\u0131nda b\u00f6y\u00fck m\u00fcbahis\u0259y\u0259 s\u0259b\u0259b olmu\u015fdur. Bir s\u0131ra riyaz\u0131yyat\u00e7\u0131lar onu q\u0259bul etmirl\u0259r, buna g\u00f6r\u0259 d\u0259 h\u0259r bir \u00e7oxlu\u011fun tam nizamlana bilm\u0259sini q\u0259bul etmirl\u0259r.<\/p>\n<p style=\"text-align: justify;\">Bununla bel\u0259, klassik riyazi analizin \u00e7ox teoreml\u0259rinin isbat\u0131 m\u00fc\u0259yy\u0259n m\u0259nada Sermelo aksiomuna \u0259saslan\u0131r.<\/p>\n<p style=\"text-align: justify;\">Hal-haz\u0131rda Sermelo aksiomunun \u0259v\u0259zin\u0259 onunla ekvivalent olan v\u0259 t\u0259tbiqi daha m\u00fcnasib olan Sorn lemmas\u0131ndan istifad\u0259 edirl\u0259r.<\/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>Sermelo aksiomu yaxud se\u00e7m\u0259 prinsipi t\u0259sdiq edir ki, ist\u0259nil\u0259n bo\u015f olmayan \u00e7oxluqlardan ibar\u0259t sinif \u00fc\u00e7\u00fcn h\u0259r bir \u00e7oxlu\u011fa \u00f6z\u00fcn\u00fcn bir elementini qar\u015f\u0131 qoyan funksiya var. Ba\u015fqa s\u00f6zl\u0259, Sermelo aksiomu h\u00f6km edir ki, bo\u015f olmayan \u00e7oxluqlardan ibar\u0259t ist\u0259nil\u0259n sistemin h\u0259r bir \u00e7oxlu\u011fundan bir element g\u00f6t\u00fcrm\u0259k olar. Sermelo aksiomu 1904-c\u00fc ild\u0259 Sermelo t\u0259r\u0259find\u0259n ifad\u0259 edilmi\u015fdir. Sermelo bu [&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\/16891"}],"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=16891"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/16891\/revisions"}],"predecessor-version":[{"id":16892,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/16891\/revisions\/16892"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=16891"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=16891"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=16891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}