{"id":14833,"date":"2022-07-12T12:26:05","date_gmt":"2022-07-12T09:26:05","guid":{"rendered":"http:\/\/thalesandfriends.org\/?p=14833"},"modified":"2022-07-13T09:46:44","modified_gmt":"2022-07-13T06:46:44","slug":"metalio-abacus-ston-mark-braverman","status":"publish","type":"post","link":"https:\/\/thalesandfriends.org\/el\/2022\/07\/12\/metalio-abacus-ston-mark-braverman\/","title":{"rendered":"\u039c\u03b5\u03c4\u03ac\u03bb\u03bb\u03b9\u03bf Abacus \u03c3\u03c4\u03bf\u03bd Mark Braverman"},"content":{"rendered":"<div id=\"attachment_14835\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-14835\" class=\"wp-image-14835\" src=\"http:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1.jpg\" alt=\"\" width=\"600\" height=\"600\" srcset=\"https:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1.jpg 800w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1-300x300.jpg 300w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1-150x150.jpg 150w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1-768x768.jpg 768w, https:\/\/thalesandfriends.org\/wp-content\/uploads\/2022\/07\/a1-75x75.jpg 75w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><p id=\"caption-attachment-14835\" class=\"wp-caption-text\">Mark Braverman<\/p><\/div>\n<p>\u03a0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03bb\u03af\u03b3\u03b5\u03c2 \u03b7\u03bc\u03ad\u03c1\u03b5\u03c2, \u03c3\u03c4\u03b7\u03bd \u03c4\u03b5\u03bb\u03b5\u03c4\u03ae \u03c4\u03b7\u03c2 \u0394\u03b9\u03b5\u03b8\u03bd\u03bf\u03cd\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u0388\u03bd\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c4\u03bf \u0395\u03bb\u03c3\u03af\u03bd\u03ba\u03b9 \u03c4\u03b7\u03c2 \u03a6\u03b9\u03bd\u03bb\u03b1\u03bd\u03b4\u03af\u03b1\u03c2, \u03b1\u03bd\u03b1\u03ba\u03bf\u03b9\u03bd\u03ce\u03b8\u03b7\u03ba\u03b1\u03bd \u03bf\u03b9 \u03bd\u03b9\u03ba\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03bf\u03c5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03b2\u03c1\u03b1\u03b2\u03b5\u03af\u03bf\u03c5 <strong>Fields<\/strong> <strong>Medal<\/strong> \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03bd\u03ad\u03bc\u03b5\u03c4\u03b1\u03b9 \u03ba\u03ac\u03b8\u03b5 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03c3\u03b5 \u03bd\u03ad\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03bf\u03c5 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03b9\u03b1\u03c0\u03c1\u03ad\u03c8\u03b5\u03b9 \u03c3\u03c4\u03bf\u03bd \u03c4\u03bf\u03bc\u03ad\u03b1 \u03c4\u03bf\u03c5\u03c2 (<a href=\"http:\/\/thalesandfriends.org\/el\/2022\/07\/05\/oi-nikites-tou-korifaiou-mathimatikou-vraveiou-fields\/\">\u03b4\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc \u03b4\u03b7\u03bc\u03bf\u03c3\u03af\u03b5\u03c5\u03bc\u03b1, \u03b5\u03b4\u03ce<\/a>). \u03a3\u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03b4\u03b9\u03bf\u03c1\u03b3\u03ac\u03bd\u03c9\u03c3\u03b7 \u03b1\u03bd\u03b1\u03ba\u03bf\u03b9\u03bd\u03ce\u03b8\u03b7\u03ba\u03b5, \u03b5\u03c0\u03af\u03c3\u03b7\u03c2, \u03bf \u03bd\u03b9\u03ba\u03b7\u03c4\u03ae\u03c2 \u03c4\u03bf\u03c5 <strong>\u039c\u03b5\u03c4\u03b1\u03bb\u03bb\u03af\u03bf\u03c5 <\/strong><strong>Abacus<\/strong>, \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03bd\u03ad\u03bc\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03bc\u03b5 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03b5\u03b9\u03c3\u03c6\u03bf\u03c1\u03ac \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03c4\u03b7\u03c2 \u0395\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7\u03c2 \u03c4\u03c9\u03bd \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd.<\/p>\n<p>\u039d\u03b9\u03ba\u03b7\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03b1\u03c2 \u03b4\u03b9\u03ac\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf 38\u03c7\u03c1\u03bf\u03bd\u03bf\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 <strong>Mark<\/strong> <strong>Braverman<\/strong>, \u03b1\u03c0\u03cc \u03c4\u03bf \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u03c4\u03bf\u03c5 Princeton, \u03c0\u03bf\u03c5 \u03c4\u03b9\u03bc\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03c9\u03c4\u03bf\u03c0\u03bf\u03c1\u03b9\u03b1\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03ac \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7 \u00ab\u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03c4\u03b7\u03c2 \u03c0\u03bf\u03bb\u03c5\u03c0\u03bb\u03bf\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03b7\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1\u03c2\u00bb. \u03a3\u03c4\u03cc\u03c7\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b2\u03b1\u03b8\u03cd\u03c4\u03b5\u03c1\u03b7 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd- <em>\u03b4\u03b9\u03b1\u03bd\u03bf\u03b7\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 <\/em><em>\u03b1\u03bd\u03ac\u03bb\u03bf\u03b3\u03b7 \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c4\u03c9\u03bd \u03bc\u03b1\u03cd\u03c1\u03c9\u03bd \u03c4\u03c1\u03c5\u03c0\u03ce\u03bd \u03ae \u03c4\u03c9\u03bd \u03c0\u03c1\u03ce\u03c4\u03c9\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03ce\u03bd<\/em> \u03c4\u03bf\u03bd\u03af\u03b6\u03b5\u03b9 \u03bf \u03af\u03b4\u03b9\u03bf\u03c2, \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03bb\u03ad\u03bf\u03bd \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03c9\u03bc\u03ad\u03bd\u03bf\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03b8\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03cc\u03c4\u03b7\u03c4\u03ac \u03bc\u03b1\u03c2.<\/p>\n<p>\u03a0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b4\u03b5\u03ba\u03b1\u03b5\u03c4\u03af\u03b1, \u03bf Braverman \u03b1\u03bd\u03b1\u03c0\u03c4\u03cd\u03c3\u03c3\u03b5\u03b9 \u03bc\u03af\u03b1 \u03bd\u03ad\u03b1 \u03c1\u03b9\u03b6\u03bf\u03c3\u03c0\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae \u03b8\u03b5\u03c9\u03c1\u03af\u03b1 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b4\u03c1\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03c0\u03b9\u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03af\u03b1\u03c2, \u03b5\u03c0\u03b5\u03ba\u03c4\u03b5\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03bc\u03c0\u03bb\u03bf\u03c5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03c0\u03c1\u03c9\u03c4\u03bf\u03c0\u03bf\u03c1\u03b9\u03b1\u03ba\u03cc \u03ad\u03c1\u03b3\u03bf \u03c0\u03bf\u03c5 \u03be\u03b5\u03ba\u03af\u03bd\u03b7\u03c3\u03b5 \u03bf \u0391\u03bc\u03b5\u03c1\u03b9\u03ba\u03b1\u03bd\u03cc\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03ba\u03c1\u03c5\u03c0\u03c4\u03bf\u03b3\u03c1\u03ac\u03c6\u03bf\u03c2 <strong>Claude Shannon<\/strong> (1916-2001) \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03bf\u03ba\u03c4\u03ce \u03b4\u03b5\u03ba\u03b1\u03b5\u03c4\u03af\u03b5\u03c2. \u03a4\u03bf \u03b5\u03be\u03b5\u03bb\u03b9\u03c3\u03c3\u03cc\u03bc\u03b5\u03bd\u03bf \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 Braverman \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03c1\u03ac\u03b6\u03bf\u03c5\u03bd \u03b1\u03c6\u03b7\u03c1\u03b7\u03bc\u03ad\u03bd\u03b5\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 \u03cc\u03c0\u03c9\u03c2 &#8220;\u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b1&#8221; \u03ba\u03b1\u03b9 &#8220;\u03b3\u03bd\u03ce\u03c3\u03b7&#8221; \u03c3\u03b5 \u03b1\u03ba\u03c1\u03b9\u03b2\u03b5\u03af\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2. \u03a4\u03bf \u03b5\u03bd \u03bb\u03cc\u03b3\u03c9 \u03c0\u03c1\u03cc\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c0\u03b5\u03ba\u03c4\u03b5\u03af\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bf\u03c1\u03af\u03c9\u03bd \u03c4\u03bf\u03c5 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd, \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03b6\u03b5\u03b9 \u03ac\u03bc\u03b5\u03c3\u03b1 \u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03bf\u03b9 \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf\u03b9 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03b9\u03b4\u03c1\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03b4\u03b9\u03b1\u03b4\u03af\u03ba\u03c4\u03c5\u03bf.<\/p>\n<p><iframe loading=\"lazy\" title=\"YouTube video player\" src=\"https:\/\/www.youtube.com\/embed\/MXPOH3khhk4\" width=\"560\" height=\"315\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>\u03a4\u03ad\u03bb\u03bf\u03c2, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03b9\u03c9\u03b8\u03b5\u03af \u03cc\u03c4\u03b9 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c0\u03c1\u03cc\u03c3\u03c6\u03b1\u03c4\u03b1 \u03c4\u03bf Abacus \u03ae\u03c4\u03b1\u03bd \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03c9\u03c2 \u03b2\u03c1\u03b1\u03b2\u03b5\u03af\u03bf Nevanlinna. \u03a9\u03c3\u03c4\u03cc\u03c3\u03bf, \u03bc\u03b5\u03c4\u03bf\u03bd\u03bf\u03bc\u03ac\u03c3\u03c4\u03b7\u03ba\u03b5 \u03c3\u03b5 Abacus \u03b5\u03c0\u03b5\u03b9\u03b4\u03ae \u03b1\u03c1\u03ba\u03b5\u03c4\u03bf\u03af \u03b9\u03c3\u03c4\u03bf\u03c1\u03b9\u03ba\u03bf\u03af \u03b5\u03c0\u03b5\u03c3\u03ae\u03bc\u03b1\u03bd\u03b1\u03bd \u03cc\u03c4\u03b9 \u03bf \u03a6\u03b9\u03bd\u03bb\u03b1\u03bd\u03b4\u03cc\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 Rolf Nevanlinna (1895-1980), \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03c0\u03ae\u03c1\u03b5 \u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03ac \u03c4\u03bf\u03c5 \u03c4\u03bf \u03b2\u03c1\u03b1\u03b2\u03b5\u03af\u03bf, \u03ae\u03c4\u03b1\u03bd \u03c3\u03c5\u03bc\u03c0\u03b1\u03b8\u03ce\u03bd \u03c4\u03c9\u03bd \u039d\u03b1\u03b6\u03af. \u03a4\u03bf <em>\u039c\u03b5\u03c4\u03ac\u03bb\u03bb\u03b9\u03bf Abacus<\/em> \u03b1\u03c0\u03bf\u03bd\u03ad\u03bc\u03b5\u03c4\u03b1\u03b9 \u03bc\u03af\u03b1 \u03c6\u03bf\u03c1\u03ac \u03ba\u03ac\u03b8\u03b5 \u03c4\u03ad\u03c3\u03c3\u03b5\u03c1\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03c3\u03b5 \u03ad\u03bd\u03b1\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b1 \u03ba\u03ac\u03c4\u03c9 \u03c4\u03c9\u03bd 40 \u03b5\u03c4\u03ce\u03bd.<\/p>\n<p>\u03a0\u03b7\u03b3\u03ae:www.mathunion.org<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u03a0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03bb\u03af\u03b3\u03b5\u03c2 \u03b7\u03bc\u03ad\u03c1\u03b5\u03c2, \u03c3\u03c4\u03b7\u03bd \u03c4\u03b5\u03bb\u03b5\u03c4\u03ae \u03c4\u03b7\u03c2 \u0394\u03b9\u03b5\u03b8\u03bd\u03bf\u03cd\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u0388\u03bd\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c4\u03bf \u0395\u03bb\u03c3\u03af\u03bd\u03ba\u03b9 \u03c4\u03b7\u03c2 \u03a6\u03b9\u03bd\u03bb\u03b1\u03bd\u03b4\u03af\u03b1\u03c2, 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