{"id":6761,"date":"2022-10-12T21:43:44","date_gmt":"2022-10-12T21:43:44","guid":{"rendered":"https:\/\/presswiki.allmath.gr\/wpwiki18\/?p=6761"},"modified":"2023-10-25T19:18:17","modified_gmt":"2023-10-25T19:18:17","slug":"%ce%b82001%ce%b11","status":"publish","type":"post","link":"https:\/\/presswiki.allmath.gr\/wpwiki18\/2022\/10\/12\/21\/43\/44\/6761\/","title":{"rendered":"\u03982001\u03911"},"content":{"rendered":"\n<p>\u0391\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \\( \\displaystyle{x, y, z} \\) \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9 \\( \\displaystyle{xyz = 1}  \\), \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2<br><br>\\( \\displaystyle{K=\\frac{1}{y+1-\\displaystyle\\frac{y}{x+1}}+ \\frac{1}{z+1-\\displaystyle\\frac{z}{y+1}} + \\frac{1}{x+1-\\displaystyle\\frac{x}{z+1}}} . \\)<\/p>\n\n\n\n<!--nextpage-->\n\n\n\n<h2>\u039b\u03cd\u03c3\u03b7<\/h2>\n\n\n\n<figure class=\"wp-block-image size-full\"><img width=\"851\" height=\"227\" src=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-9.png\" alt=\"\" class=\"wp-image-6765\" srcset=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-9.png 851w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-9-300x80.png 300w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-9-768x205.png 768w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 1362px) 62vw, 840px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img width=\"839\" height=\"278\" src=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-10.png\" alt=\"\" class=\"wp-image-6767\" srcset=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-10.png 839w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-10-300x99.png 300w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-10-768x254.png 768w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img width=\"581\" height=\"171\" src=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-11.png\" alt=\"\" class=\"wp-image-6768\" srcset=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-11.png 581w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-11-300x88.png 300w\" sizes=\"(max-width: 581px) 85vw, 581px\" \/><\/figure>\n\n\n\n<figure class=\"wp-block-image size-full\"><img width=\"833\" height=\"255\" src=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-12.png\" alt=\"\" class=\"wp-image-6769\" srcset=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-12.png 833w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-12-300x92.png 300w, https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-content\/uploads\/2022\/10\/\u03b5\u03b9\u03ba\u03cc\u03bd\u03b1-12-768x235.png 768w\" sizes=\"(max-width: 709px) 85vw, (max-width: 909px) 67vw, (max-width: 984px) 61vw, (max-width: 1362px) 45vw, 600px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>\u0391\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \\( \\displaystyle{x, y, z} \\) \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03cc\u03c4\u03b9 \\( \\displaystyle{xyz = 1} \\), \u03bd\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03c4\u03b9\u03bc\u03ae \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \\( \\displaystyle{K=\\frac{1}{y+1-\\displaystyle\\frac{y}{x+1}}+ \\frac{1}{z+1-\\displaystyle\\frac{z}{y+1}} + \\frac{1}{x+1-\\displaystyle\\frac{x}{z+1}}} . \\)<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[17,229,56,897,62],"tags":[726],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/6761"}],"collection":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/comments?post=6761"}],"version-history":[{"count":3,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/6761\/revisions"}],"predecessor-version":[{"id":6770,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/6761\/revisions\/6770"}],"wp:attachment":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/media?parent=6761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/categories?post=6761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/tags?post=6761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}