{"id":20133,"date":"2018-08-14T11:14:51","date_gmt":"2018-08-14T07:14:51","guid":{"rendered":"http:\/\/www.imm.az\/exp\/?p=20133"},"modified":"2018-07-20T23:17:36","modified_gmt":"2018-07-20T19:17:36","slug":"david-hilbert-v%c9%99-onun-23-problemi-xi-hiss%c9%99","status":"publish","type":"post","link":"https:\/\/www.imm.az\/exp\/2018\/08\/14\/david-hilbert-v%c9%99-onun-23-problemi-xi-hiss%c9%99\/","title":{"rendered":"DAV\u0130D H\u0130LBERT\u00a0 v\u0259 onun 23 problemi (XI hiss\u0259)"},"content":{"rendered":"

\"\"<\/a><\/p>\n

David Hilbertin 10-cu problemi.<\/em><\/strong><\/p>\n

Bu problem diofant t\u0259nlikl\u0259ri<\/a>n\u0259 h\u0259sr olunub.<\/p>\n

Tutaq ki, tam \u0259msall\u0131 c\u0259bri t\u0259nlikl\u0259r (v\u0259 ya c\u0259bri t\u0259nlikl\u0259r sistemi) verilmi\u015fdir v\u0259 t\u0259nliyin (v\u0259 ya t\u0259nlikl\u0259r sisteminin) tam v\u0259 ya rasional h\u0259ll\u0259rini tapmaq t\u0259l\u0259b olunur. Bel\u0259 t\u0259nlikl\u0259r\u0259 diofant t\u0259nlikl\u0259ri deyilir (rasional k\u00f6kl\u0259r axtar\u0131ld\u0131qda, d\u0259yi\u015f\u0259nl\u0259rin say\u0131 ikid\u0259n az olmamal\u0131d\u0131r).<\/p>\n

Onuncu problem bel\u0259 ifad\u0259 olunur: Verilmi\u015f diofant t\u0259nliyinin tam h\u0259llinin varl\u0131\u011f\u0131n\u0131 sonlu sayda \u0259m\u0259liyyat vasit\u0259si il\u0259 t\u0259yin etm\u0259k olarm\u0131?<\/p>\n

Bel\u0259 bir universal alqoritmin olmad\u0131\u011f\u0131n\u0131 1970-ci ild\u0259 rus riyaziyyat\u00e7\u0131s\u0131 Yuri Matiyasevi\u00e7 isbat etmi\u015fdir.<\/p>\n

\u018fd\u0259biyyat<\/p>\n

1. D.Hilbert Vortrag gehalten auf dem internationalen Matematiker-Kongrez zu Pariz. 1900.
\n2. D.Hilbert Mathematische Probleme. Archiv f. Math. u. Phys, III s. 1 (1901) 44-63.
\n3. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u0431\u0435\u0440\u0442\u0430, \u0421\u0431\u043e\u0440\u043d\u0438\u043a \u043f\u043e\u0434 \u0440\u0435\u0434\u0430\u043a\u0446\u0438\u0439 \u041f. \u0421. \u0410\u043b\u0435\u043a\u0441\u0430\u043d\u0434\u0440\u043e\u0432\u0430, \u041c., \u041d\u0430\u0443\u043a\u0430 1969 \u0433. 240 \u0441.
\n4. \u0411\u043e\u043b\u0438\u0431\u0440\u0443\u0445 \u0410. \u0410. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u0431\u0435\u0440\u0442\u0430 (100 \u043b\u0435\u0442 \u0441\u043f\u0443\u0441\u0442\u044f) \u2013 \u041c\u0426\u041d\u041c\u041e, 1999, \u0442-2, 24\u0441.
\n5. \u0414\u0435\u043c\u0438\u0434\u043e\u0432 \u0421.\u0421. \u041a \u0438\u0441\u0442\u043e\u0440\u0438\u0438 \u043f\u0440\u043e\u0431\u043b\u0435\u043c \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \/\/ \u0418\u0441\u0442\u043e\u0440\u0438\u043a\u0430 \u2013 \u043c\u0430\u0442. \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u2013 \u041c., \u041d\u0430\u0443\u043a\u0430, 1966 – \u211617 \u2013 91-122 \u0441.
\n6. \u041b\u044f\u0448\u043a\u043e \u0421.\u0418., \u041d\u043e\u043c\u0438\u0440\u043e\u0432\u0441\u043a\u0438\u0439 \u0414. \u0410., \u041f\u0435\u0442\u0443\u043d\u0438\u043d \u042e. \u0418., \u0421\u0435\u043c\u0435\u043d\u043e\u0432 \u0412.\u0412. \u0414\u0432\u0430\u0434\u0446\u0430\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u00ab\u0414\u0438\u0430\u043b\u0435\u043a\u0442\u0438\u043a\u0430\u00bb, 2009-192 \u0441.
\n7. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0414. \u0418\u0437\u0431\u0440\u0430\u043d\u043d\u044b\u0435 \u0442\u0440\u0443\u0434\u044b \u0432. 2. \u0422 \/\/ \u041f\u043e\u0434 \u0420\u0435\u0434\u0430\u043a\u0446\u0438\u0438 \u2013 \u041c, \u0424\u0430\u043a\u0442\u043e\u0440\u0438\u0430\u043b, 1998.
\n\u2022 \u0422.1. \u0422\u0435\u043e\u0440\u0438\u044f \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432, \u0422\u0435\u043e\u0440\u0438\u044f \u0447\u0438\u0441\u0435\u043b. \u0410\u043b\u0433\u0435\u0431\u0440\u0430. \u0413\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438 \u2013 575 \u0441.
\n\u2022 \u0422.2. \u0410\u043d\u0430\u043b\u0438\u0437. \u0424\u0438\u0437\u0438\u043a\u0430. \u041f\u0440\u043e\u0431\u043b\u0435\u043c\u044b \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u2013 607 \u0441.
\n8. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u0438 \u041c.-\u041b.: \u0413\u043e\u0441\u0442\u0435\u0445\u0438\u0437\u0434\u0430\u0442, 1948-\u0421\u0435\u0440\u0438\u044f: \u041a\u043b\u0430\u0441\u0441\u0438\u043a\u0438 \u0435\u0441\u0442\u0435\u0441\u0442\u0432\u043e\u0437\u043d\u0430\u043d\u0438\u044f.
\n9. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0410\u043a\u043a\u0435\u0440\u043c\u0430\u043d. \u0412. \u041e\u0441\u043d\u043e\u0432\u044b \u0442\u0435\u043e\u0440\u0435\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u043b\u043e\u0433\u0438\u043a\u0438.\u041c.: \u0418\u0437\u0434\u0430\u0442\u0435\u043b\u044c\u0441\u043a\u0430\u044f \u0433\u0440\u0443\u043f\u043f\u0430 URSS, 2010, 304 \u0441.
\n10. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0411\u0435\u0440\u043d\u0430\u0439\u0441 \u041f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u041c.: \u041d\u0430\u0443\u043a\u0430 \u0422\u043e\u043c I 1979, 560 \u0441.
\n11. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u0411\u0435\u0440\u043d\u0430\u0439\u0441 \u041f. \u041e\u0441\u043d\u043e\u0432\u0430\u043d\u0438\u044f \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u043a\u0438. \u0422.2. 1982. 656 \u0441.
\n12. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041a\u043e\u043d-\u0424\u043e\u0441\u0441\u0435\u043d \u0421. \u041d\u0430\u0433\u043b\u044f\u0434\u043d\u0430\u044f \u0433\u0435\u043e\u043c\u0435\u0442\u0440\u0438\u044f \u041c.-\u041b.: \u0413\u043e\u0441\u0442\u0435\u0445\u0438\u0437\u0434\u0430\u0442 (1951).
\n13. \u041a\u0443\u0440\u0430\u043d\u0442 \u0420. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442. \u0414. \u041c\u0435\u0442\u043e\u0434\u044b \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0439 \u0444\u0438\u0437\u0438\u043a\u0438. \u0422\u043e\u043c I 1933.
\n14. \u0412\u0435\u0439\u043b\u044c. \u0413. \u0414\u0430\u0432\u0438\u0434 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0438 \u0435\u0433\u043e \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u0442\u0432\u043e\u0440\u0447\u0435\u0441\u0442\u0432\u043e \/\/ \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u043e\u0435 \u043c\u044b\u0448\u043b\u0435\u043d\u0438\u0435 \u2013 \u041c.: \u041d\u0430\u0443\u043a\u0430, 1989 \u2013 \u0441 214-256.
\n15. \u041a\u043e\u043d\u0441\u0442\u0430\u043d\u0441 \u0420\u0438\u0434. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 – \u041c.: \u041d\u0430\u0443\u043a\u0430 1977 \u0433.
\n16. \u041f\u0430\u0440\u0448\u0438\u043d \u0410.\u041d. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0438 \u0442\u0435\u043e\u0440\u0438\u044f \u0438\u043d\u0432\u0430\u0440\u0438\u0430\u043d\u0442\u043e\u0432 \/\/ \u0418\u0441\u0442\u043e\u0440\u0438\u043a\u043e- \u043c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0438\u0435 \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f – \u041c.: \u041d\u0430\u0443\u043a\u0430 1975 \u0433. \u2116 20 \u0441 171-197.
\n17. \u041a\u043e\u043b\u043c\u043e\u0433\u043e\u0440\u043e\u0432. \u0410.\u041d. \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442 \u0414\u0430\u0432\u0438\u0434 \/\/ \u0411\u043e\u043b\u044c\u0448\u0430\u044f \u0441\u043e\u0432\u0435\u0442\u0441\u043a\u0430\u044f \u044d\u043d\u0446\u0438\u043a\u043b\u043e\u043f\u0435\u0434\u0438\u044f \/\/, 1969.
\n18. \u0410.\u0412.\u041f\u043e\u0433\u043e\u0440\u0435\u043b\u043e\u0432. \u0427\u0435\u0442\u0432\u0435\u0440\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430. \u041c\u043e\u0441\u043a\u0432\u0430. \u041d\u0430\u0443\u043a\u0430. 1974. 80 \u0441.
\n19. \u042e.\u0412. \u041c\u0430\u0442\u0438\u044f\u0441\u0435\u0432\u0438\u0447. \u0414\u0435\u0441\u044f\u0442\u0430\u044f \u043f\u0440\u043e\u0431\u043b\u0435\u043c\u0430 \u0413\u0438\u043b\u044c\u0431\u0435\u0440\u0442\u0430 \u2013 \u041c. \u041d\u0430\u0443\u043a\u0430. \u0424\u0438\u0437\u0438\u043a\u043e-\u043c\u0430\u0442., \u043b\u0438\u0442\u0435\u0440\u0430\u0442\u0443\u0440\u0430. 1993-223 \u0441.
\n20. Q.\u015eubert Kalk\u00fcl der abz\u00e4hlenden Geometric, 1879.<\/p>\n

M\u0259nb\u0259:\u00a0Misir M\u0259rdanov, Vidadi Mirz\u0259yev \u201cDavid Hilbert v\u0259 onun 23 problemi\u201d , Az\u0259rbaycan Milli Elml\u0259r Akademiyas\u0131 X\u0259b\u0259rl\u0259r M\u0259cmu\u0259si, Cild 4, \u21164, Dekabr 2017-ci il. s\u0259hif\u0259 9-18.<\/em><\/strong><\/p>\n

\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":"

David Hilbertin 10-cu problemi. Bu problem diofant t\u0259nlikl\u0259rin\u0259 h\u0259sr olunub. Tutaq ki, tam \u0259msall\u0131 c\u0259bri t\u0259nlikl\u0259r (v\u0259 ya c\u0259bri t\u0259nlikl\u0259r sistemi) verilmi\u015fdir v\u0259 t\u0259nliyin (v\u0259 ya t\u0259nlikl\u0259r sisteminin) tam v\u0259 ya rasional h\u0259ll\u0259rini tapmaq t\u0259l\u0259b olunur. Bel\u0259 t\u0259nlikl\u0259r\u0259 diofant t\u0259nlikl\u0259ri deyilir (rasional k\u00f6kl\u0259r axtar\u0131ld\u0131qda, d\u0259yi\u015f\u0259nl\u0259rin say\u0131 ikid\u0259n az olmamal\u0131d\u0131r). Onuncu problem bel\u0259 ifad\u0259 olunur: Verilmi\u015f […]<\/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\/20133"}],"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=20133"}],"version-history":[{"count":1,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/20133\/revisions"}],"predecessor-version":[{"id":20134,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/posts\/20133\/revisions\/20134"}],"wp:attachment":[{"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/media?parent=20133"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/categories?post=20133"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.imm.az\/exp\/wp-json\/wp\/v2\/tags?post=20133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}