{"id":37165,"date":"2020-08-19T00:02:51","date_gmt":"2020-08-18T21:02:51","guid":{"rendered":"https:\/\/www.lecturesbureau.gr\/1\/?p=37165"},"modified":"2020-08-19T07:08:02","modified_gmt":"2020-08-19T04:08:02","slug":"zipfs-law-attempts-to-systematize-the-randomness-of-certain-phenomena-2278","status":"publish","type":"post","link":"https:\/\/www.lecturesbureau.gr\/1\/zipfs-law-attempts-to-systematize-the-randomness-of-certain-phenomena-2278\/","title":{"rendered":"\u039f \u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03bf\u03c5 Zipf \u03b5\u03c0\u03b9\u03c7\u03b5\u03b9\u03c1\u03b5\u03af \u03bd\u03b1 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03c4\u03b7\u03bd \u03c4\u03c5\u03c7\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03ac\u03c0\u03bf\u03b9\u03c9\u03bd \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd"},"content":{"rendered":"<p>\u03a0\u03bf\u03bb\u03bb\u03bf\u03af \u03c4\u03cd\u03c0\u03bf\u03b9 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\u03c3\u03c5\u03bd\u03b1\u03c1\u03c0\u03b1\u03c3\u03c4\u03b9\u03ba\u03cc, \u03c4\u03cc\u03c3\u03bf \u03c0\u03bf\u03c5 \u03b5\u03be\u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c0\u03ac\u03b6\u03b5\u03b9 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b5\u03c1\u03b1. \u03a4\u03bf \u03b8\u03ad\u03bc\u03b1 \u03b1\u03c5\u03c4\u03cc \u03b5\u03bc\u03c6\u03b1\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03bc\u03c0\u03c1\u03bf\u03c3\u03c4\u03ac \u03bc\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b4\u03bf\u03c5\u03bb\u03b5\u03cd\u03c9 \u03c0\u03ac\u03bd\u03c9 \u03c3\u2019 \u03b1\u03c5\u03c4\u03cc \u03b4\u03b9\u03b1\u03c1\u03ba\u03ce\u03c2.\u201d<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" title=\"\" src=\"https:\/\/i0.wp.com\/1.bp.blogspot.com\/-SXLkRf05brc\/UYZvqnXie0I\/AAAAAAAAC1I\/FstEKdepapk\/s1600\/fig1.png?resize=710%2C295&#038;ssl=1\" alt=\"\" width=\"710\" height=\"295\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u039b\u03af\u03b3\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03bc\u03b5\u03c4\u03ac \u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2<strong>\u00a0Benoit Mandelbrot\u00a0<\/strong>\u03bc\u03b5\u03bb\u03ad\u03c4\u03b7\u03c3\u03b5 \u03c4\u03bf\u03bd \u03bd\u03cc\u03bc\u03bf \u03c4\u03bf\u03c5 Zipf, \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03bd \u03bd\u03cc\u03bc\u03bf\u00a0<strong>Zipf\u2013Mandelbrot.\u00a0<\/strong>O Mandelbrot \u03c5\u03c0\u03bf\u03c3\u03c4\u03ae\u03c1\u03b9\u03be\u03b5 \u03cc\u03c4\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c5\u03c7\u03b1\u03af\u03b1 \u03c0\u03bb\u03ae\u03ba\u03c4\u03c1\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03bb\u03b7\u03ba\u03c4\u03c1\u03bf\u03bb\u03cc\u03b3\u03b9\u03bf, \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03b2\u03b3\u03ac\u03bb\u03b5\u03b9\u03c2 \u03b8\u03b1 \u03c5\u03c0\u03b1\u03ba\u03bf\u03cd\u03c3\u03b5\u03b9 \u03c3\u03c4\u03bf\u03bd \u03bd\u03cc\u03bc\u03bf \u03c4\u03bf\u03c5 Zipf. \u038c\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03ae\u03c1\u03b5\u03c2, \u03b1\u03c0\u03cc \u03c4\u03bf a \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf z, \u03b1\u03ba\u03cc\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf spacebar, \u03ba\u03b1\u03b9 \u03cc\u03bb\u03bf\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03bf\u03af \u03c4\u03bf\u03c5\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03c3\u03c5\u03c7\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03c5\u03c0\u03b1\u03ba\u03bf\u03cd\u03bd.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter\" title=\"\" src=\"https:\/\/i0.wp.com\/3.bp.blogspot.com\/-YNG0sdCvjr0\/UUNNp4Vy1BI\/AAAAAAAABRo\/B1h92Tz_bV8\/s1600\/Screen+shot+2013-03-15+at+12.33.46+PM.png?resize=438%2C254&#038;ssl=1\" alt=\"\" width=\"438\" height=\"254\" data-recalc-dims=\"1\" \/><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p>[vc_video link=&#8221;https:\/\/youtu.be\/fCn8zs912OE&#8221; align=&#8221;center&#8221;]<\/p>\n<p><em><strong>\u03a0\u03b7\u03b3\u03ae: https:\/\/www.maxmag.gr\/science\/mystirio-tou-nomou-tou-zipf\/<\/strong><\/em><\/p>\n<p>\u0395\u03b9\u03ba\u03cc\u03bd\u03b1: https:\/\/www.maxmag.gr\/science\/mystirio-tou-nomou-tou-zipf\/?fbclid=IwAR3LfstPd5N6jwGkyelUBXQofPywzyqRbeTDtgV5fgoPCRRNOVDgonmXcT0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u03a0\u03bf\u03bb\u03bb\u03bf\u03af \u03c4\u03cd\u03c0\u03bf\u03b9 \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c0\u03bf\u03c5 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2, \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03bc\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03c9\u03c2 \u201c\u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd\u201d.\u00a0\u03a3\u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bf \u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03c0\u03bf\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd, \u03ba\u03b1\u03b9 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03b2\u03ac\u03bb\u03bb\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03b7\u03c2 \u03ac\u03bb\u03bb\u03b7\u03c2&#8230;.<\/p>\n","protected":false},"author":1,"featured_media":37170,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1,66],"tags":[],"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=900%2C609&ssl=1","rttpg_featured_image_url":{"full":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=900%2C609&ssl=1",900,609,false],"landscape":["https:\/\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg",900,609,false],"portraits":["https:\/\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg",900,609,false],"thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=150%2C150&ssl=1",150,150,true],"medium":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=300%2C203&ssl=1",300,203,true],"large":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=900%2C609&ssl=1",900,609,true],"1536x1536":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=900%2C609&ssl=1",900,609,true],"2048x2048":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=900%2C609&ssl=1",900,609,true],"portfolio-square":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=570%2C570&ssl=1",570,570,true],"portfolio-portrait":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=600%2C609&ssl=1",600,609,true],"portfolio-landscape":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=800%2C600&ssl=1",800,600,true],"menu-featured-post":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=345%2C198&ssl=1",345,198,true],"qode-carousel_slider":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=400%2C260&ssl=1",400,260,true],"portfolio_slider":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=500%2C380&ssl=1",500,380,true],"portfolio_masonry_regular":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=500%2C500&ssl=1",500,500,true],"portfolio_masonry_wide":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=900%2C500&ssl=1",900,500,true],"portfolio_masonry_tall":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=500%2C609&ssl=1",500,609,true],"portfolio_masonry_large":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=900%2C609&ssl=1",900,609,true],"portfolio_masonry_with_space":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=700%2C474&ssl=1",700,474,true],"latest_post_boxes":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=539%2C303&ssl=1",539,303,true],"woocommerce_thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=300%2C300&ssl=1",300,300,true],"woocommerce_single":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?fit=600%2C406&ssl=1",600,406,true],"woocommerce_gallery_thumbnail":["https:\/\/i0.wp.com\/www.lecturesbureau.gr\/1\/wp-content\/uploads\/2020\/08\/post-2278.jpg?resize=100%2C100&ssl=1",100,100,true]},"rttpg_author":{"display_name":"admin","author_link":"https:\/\/www.lecturesbureau.gr\/1\/author\/admin\/"},"rttpg_comment":0,"rttpg_category":"<a href=\"https:\/\/www.lecturesbureau.gr\/1\/category\/uncategorized\/?lang=en\" rel=\"category tag\">Uncategorized<\/a> <a href=\"https:\/\/www.lecturesbureau.gr\/1\/category\/science\/\" rel=\"category tag\">\u0395\u03a0\u0399\u03a3\u03a4\u0397\u039c\u0397<\/a>","rttpg_excerpt":"\u03a0\u03bf\u03bb\u03bb\u03bf\u03af \u03c4\u03cd\u03c0\u03bf\u03b9 \u03c4\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c0\u03bf\u03c5 \u03bc\u03b5\u03bb\u03b5\u03c4\u03ae\u03b8\u03b7\u03ba\u03b1\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2, \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bd \u03bc\u03b9\u03b1 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03b3\u03bd\u03c9\u03c3\u03c4\u03ae \u03c9\u03c2 \u201c\u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd\u201d.\u00a0\u03a3\u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bf \u03bd\u03cc\u03bc\u03bf\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03ac\u03bc\u03b5\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c3\u03c7\u03ad\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b4\u03cd\u03bf \u03c0\u03bf\u03c3\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd, \u03ba\u03b1\u03b9 \u03b5\u03ba\u03c6\u03c1\u03ac\u03b6\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03b2\u03ac\u03bb\u03bb\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03b7\u03c2 \u03ac\u03bb\u03bb\u03b7\u03c2....","_links":{"self":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/37165"}],"collection":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/comments?post=37165"}],"version-history":[{"count":6,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/37165\/revisions"}],"predecessor-version":[{"id":37172,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/posts\/37165\/revisions\/37172"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/media\/37170"}],"wp:attachment":[{"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/media?parent=37165"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/categories?post=37165"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.lecturesbureau.gr\/1\/wp-json\/wp\/v2\/tags?post=37165"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}