{"id":52721,"date":"2021-12-19T09:35:34","date_gmt":"2021-12-19T07:35:34","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=52721"},"modified":"2021-12-12T09:42:23","modified_gmt":"2021-12-12T07:42:23","slug":"%cf%84%ce%b9-%ce%b5%ce%af%ce%bd%ce%b1%ce%b9-%ce%b7-%ce%bc%ce%b7%cf%87%ce%b1%ce%bd%ce%b9%ce%ba%ce%ae-%ce%bc%ce%ac%ce%b8%ce%b7%cf%83%ce%b7","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=52721","title":{"rendered":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;"},"content":{"rendered":"<p><!--more--><\/p>\n<div class=\"field field-name-field-author field-type-text field-label-hidden\">\n<div class=\"field-items\"><\/div>\n<\/div>\n<article id=\"node-7117\" class=\"node node-article node-promoted clearfix\">\n<header><\/header>\n<div class=\"field field-name-body field-type-text-with-summary field-label-hidden\">\n<div class=\"field-items\">\n<div class=\"field-item even\">\n<blockquote>\n<h4><span>\u039c\u03af\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03b9\u03bf \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03cc\u03c3\u03c6\u03b1\u03c4\u03b5\u03c2 \u03b5\u03be\u03b5\u03bb\u03af\u03be\u03b5\u03b9\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae \u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 <\/span><em><span>\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7<\/span><\/em><span>.\u00a0\u0397 \u03b9\u03b4\u03ad\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7 \u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7, \u03cc\u03c7\u03b9 \u03c9\u03c2 \u03ba\u03ac\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b4\u03ac\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae (\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03b1\u03c1\u03b1\u03b4\u03bf\u03c3\u03b9\u03b1\u03ba\u03bf\u03cd \u03c0\u03c1\u03bf\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae), \u03b1\u03bb\u03bb\u03ac \u03ba\u03ac\u03c4\u03b9 \u03c0\u03bf\u03c5 \u03bc\u03b9\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae \u03bc\u03b1\u03b8\u03b1\u03af\u03bd\u03b5\u03b9 \u03b1\u03c0\u03cc \u03bc\u03cc\u03bd\u03b7 \u03c4\u03b7\u03c2, \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03b9 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c3\u03cd\u03bd\u03b8\u03b5\u03c4\u03b5\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b5\u03c2 \u03b1\u03c0\u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1 ( \u03ae \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1) \u03c4\u03b7\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03ae\u03c2 \u03c4\u03bf\u03c5\u03c2.<\/span><\/h4>\n<\/blockquote>\n<div class=\"rightimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/kitty_puppy.jpg?resize=350%2C234&#038;ssl=1\" alt=\"\u039a\u03bf\u03c5\u03c4\u03ac\u03b2\u03b9 \u03ba\u03b1\u03b9 \u03b3\u03b1\u03c4\u03ac\u03ba\u03b9\" width=\"350\" height=\"234\" data-recalc-dims=\"1\" \/><span>\u0391\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03bb\u03bf\u03af \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03bc\u03ac\u03b8\u03bf\u03c5\u03bd \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03be\u03b5\u03c7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03bc\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03bc\u03b9\u03b1\u03c2 \u03b3\u03ac\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03bc\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c3\u03ba\u03cd\u03bb\u03bf\u03c5.<\/span><\/p>\n<\/div>\n<p><span>\u039c\u03b5 \u03c4\u03b9\u03c2 \u03c4\u03b5\u03c1\u03ac\u03c3\u03c4\u03b9\u03b5\u03c2 \u03c0\u03c1\u03bf\u03cc\u03b4\u03bf\u03c5\u03c2 \u03c3\u03c4\u03b7\u03bd \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1 \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03b5\u03be\u03b5\u03bb\u03af\u03be\u03b5\u03b9\u03c2 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc \u03c4\u03bf\u03c5\u03c2, \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03b1\u03c5\u03be\u03ac\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1.\u00a0\u039f\u03b9 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03cc \u03b1\u03c1\u03c7\u03af\u03b6\u03bf\u03c5\u03bd \u03bd\u03b1 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03cc \u03b1\u03bd\u03c4\u03af\u03ba\u03c4\u03c5\u03c0\u03bf \u03c3\u03c4\u03b9\u03c2 \u03b6\u03c9\u03ad\u03c2 \u03bc\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03c7\u03bd\u03ac \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03bf\u03c5\u03c2.\u00a0\u03a0\u03ce\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;<\/span><\/p>\n<h3><span>\u039c\u03b1\u03b8\u03b1\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1<\/span><\/h3>\n<p><span>\u03a3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2, \u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae\u03c2 \u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03bf\u03bd \u03b4\u03b9\u03ba\u03cc \u03c4\u03bf\u03c5 \u03ba\u03ce\u03b4\u03b9\u03ba\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03ba\u03c4\u03b5\u03bb\u03ad\u03c3\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1, \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b2\u03ac\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03ad\u03c4\u03bf\u03b9\u03c9\u03bd \u03b5\u03c1\u03b3\u03b1\u03c3\u03b9\u03ce\u03bd.\u00a0\u0388\u03bd\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03bc\u03ad\u03c1\u03bf\u03c2 \u03b1\u03c5\u03c4\u03bf\u03cd \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7 \u03c0\u03c1\u03bf\u03c4\u03cd\u03c0\u03c9\u03bd \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b9\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03c4\u03b7 \u03bb\u03ae\u03c8\u03b7 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03b1.\u00a0\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 (\u03ba\u03ac\u03c0\u03c9\u03c2 \u03c4\u03c1\u03bf\u03bc\u03b1\u03ba\u03c4\u03b9\u03ba\u03cc) \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b1\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03c3\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03c4\u03b1\u03b9\u03c1\u03b5\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03b4\u03b9\u03ce\u03ba\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03bb\u03ac\u03b2\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bd\u03ad\u03bf \u03bc\u03ad\u03bb\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b9\u03ba\u03bf\u03cd.\u00a0\u0394\u03b9\u03b1\u03c6\u03b7\u03bc\u03af\u03b6\u03b5\u03c4\u03b5 \u03c4\u03b7 \u03b8\u03ad\u03c3\u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bd \u03b1\u03af\u03c4\u03b7\u03c3\u03b7 1000 \u03ac\u03c4\u03bf\u03bc\u03b1, \u03c3\u03c4\u03ad\u03bb\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bf \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1\u03c2 \u03ad\u03bd\u03b1 \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03cc.\u00a0\u0395\u03af\u03bd\u03b1\u03b9 \u03c0\u03ac\u03c1\u03b1 \u03c0\u03bf\u03bb\u03bb\u03ac \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c4\u03b1 \u03ba\u03bf\u03c3\u03ba\u03b9\u03bd\u03af\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03bf \u03c7\u03ad\u03c1\u03b9, \u03bf\u03c0\u03cc\u03c4\u03b5 \u03b8\u03ad\u03bb\u03b5\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae \u03bd\u03b1 \u03c4\u03bf \u03ba\u03ac\u03bd\u03b5\u03b9.<\/span><\/p>\n<p><span>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc, \u03ad\u03c7\u03b5\u03c4\u03b5 \u03ba\u03b1\u03c4\u03b1\u03c7\u03c9\u03c1\u03b7\u03bc\u03ad\u03bd\u03b1 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03c4\u03c9\u03bd \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd \u03b1\u03b9\u03c4\u03bf\u03cd\u03bd\u03c4\u03c9\u03bd \u03c3\u03c4\u03b7\u03bd \u03b5\u03c4\u03b1\u03b9\u03c1\u03b5\u03af\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b5\u03bb\u03b8\u03cc\u03bd.\u00a0\u0393\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03cc \u03ad\u03c7\u03b5\u03c4\u03b5 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03ad\u03bd\u03b1 \u03b1\u03c1\u03c7\u03b5\u03af\u03bf \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03bf \u03b5\u03ac\u03bd \u03cc\u03bd\u03c4\u03c9\u03c2 \u03b1\u03c0\u03b1\u03c3\u03c7\u03bf\u03bb\u03ae\u03c3\u03b1\u03c4\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c4\u03bf\u03bc\u03bf \u03ae \u03cc\u03c7\u03b9.\u00a0\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03bc\u03b9\u03c3\u03ac \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03b6\u03b7\u03c4\u03ac\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03b5\u03b9 \u03c4\u03b1 \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03c3\u03b5 \u03b1\u03c5\u03c4\u03ac \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03b5\u03ac\u03bd \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03cc \u03bf\u03b4\u03ae\u03b3\u03b7\u03c3\u03b5 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03b7\u03bc\u03ad\u03bd\u03b7 \u03b1\u03af\u03c4\u03b7\u03c3\u03b7 \u03b1\u03c0\u03b1\u03c3\u03c7\u03cc\u03bb\u03b7\u03c3\u03b7\u03c2.\u00a0\u0388\u03c4\u03c3\u03b9, \u03b5\u03ac\u03bd \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03c9\u03bc\u03b1, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03c6\u03b1\u03c3\u03af\u03c3\u03b5\u03b9 \u03b5\u03ac\u03bd \u03c4\u03bf \u03ac\u03c4\u03bf\u03bc\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03b1\u03c3\u03c7\u03bf\u03bb\u03ae\u03c3\u03b9\u03bc\u03bf.\u00a0\u0391\u03c6\u03bf\u03cd \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c3\u03b5\u03c4\u03b5 \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1, \u03c4\u03bf \u03b4\u03bf\u03ba\u03b9\u03bc\u03ac\u03b6\u03b5\u03c4\u03b5 \u03c3\u03c4\u03bf \u03ac\u03bb\u03bb\u03bf \u03bc\u03b9\u03c3\u03cc \u03c4\u03c9\u03bd \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ce\u03bd.\u00a0\u0395\u03c6\u03cc\u03c3\u03bf\u03bd \u03c4\u03bf \u03c0\u03bf\u03c3\u03bf\u03c3\u03c4\u03cc \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c1\u03ba\u03b5\u03c4\u03ac \u03c5\u03c8\u03b7\u03bb\u03cc, \u03c4\u03cc\u03c4\u03b5 \u03ad\u03c7\u03b5\u03c4\u03b5 \u03b5\u03bc\u03c0\u03b9\u03c3\u03c4\u03bf\u03c3\u03cd\u03bd\u03b7 \u03cc\u03c4\u03b9 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03ad\u03c3\u03b5\u03c4\u03b5 \u03bd\u03b1 \u03ba\u03c1\u03af\u03bd\u03b5\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b1\u03c0\u03b1\u03c3\u03c7\u03bf\u03bb\u03b7\u03c3\u03b9\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03b1\u03c4\u03cc\u03bc\u03bf\u03c5 \u03bc\u03cc\u03bd\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf \u03b2\u03b9\u03bf\u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03cc \u03c4\u03bf\u03c5.\u00a0\u0394\u03b5\u03bd \u03c7\u03c1\u03b5\u03b9\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03bc\u03c0\u03bb\u03ad\u03ba\u03b5\u03c4\u03b1\u03b9 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03b9\u03bd\u03b7 \u03ba\u03c1\u03af\u03c3\u03b7 \u03c3\u03b5 \u03ba\u03b1\u03bd\u03ad\u03bd\u03b1 \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf.\u00a0\u039c\u03b9\u03b1 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03bf\u03bb\u03cd\u03c4\u03c9\u03c2 \u03b5\u03c6\u03b9\u03ba\u03c4\u03ae \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03cd\u03b3\u03c7\u03c1\u03bf\u03bd\u03b7 \u03b9\u03c3\u03c7\u03cd \u03c4\u03bf\u03c5 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae,<\/span><a href=\"https:\/\/plus.maths.org\/content\/what-can-we-use-machine-learning\"><span>\u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf<\/span><\/a><span>\u00a0.<\/span><\/p>\n<h3><span>\u03a4\u03b1 \u03c0\u03b1\u03be\u03b9\u03bc\u03ac\u03b4\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03bc\u03c0\u03bf\u03c5\u03bb\u03cc\u03bd\u03b9\u03b1<\/span><\/h3>\n<p><span>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2 \u03c0\u03b9\u03bf \u03b4\u03b9\u03b1\u03c6\u03b1\u03bd\u03ae, \u03b8\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03b6\u03ae\u03c4\u03b7\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c4\u03cd\u03c0\u03c9\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf \u03c0\u03bf\u03bb\u03cd \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03c7\u03b5\u03b9\u03c1\u03cc\u03b3\u03c1\u03b1\u03c6\u03b1 \u03c8\u03b7\u03c6\u03af\u03b1.\u00a0\u0388\u03bd\u03b1 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03c0\u03bf\u03b9\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c8\u03b7\u03c6\u03af\u03bf \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03ce\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf.<\/span><\/p>\n<div class=\"leftimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/hand_writing.jpg?resize=350%2C240&#038;ssl=1\" alt=\"\u03a7\u03b5\u03b9\u03c1\u03cc\u03b3\u03c1\u03b1\u03c6\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af\" width=\"350\" height=\"240\" data-recalc-dims=\"1\" \/><span>\u03a4\u03bf \u03c7\u03b5\u03b9\u03c1\u03cc\u03b3\u03c1\u03b1\u03c6\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03c1\u03c5\u03c0\u03c4\u03bf\u03b3\u03c1\u03b1\u03c6\u03b7\u03b8\u03b5\u03af \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03c5\u03c2 \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03bf\u03c5\u03c2.<\/span><\/p>\n<\/div>\n<p><span>\u0397 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b4\u03cd\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03b1.\u00a0\u03a0\u03c1\u03ce\u03c4\u03bf\u03bd, \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c3\u03b5 \u03b8\u03ad\u03c3\u03b7 \u03bd\u03b1 \u03c3\u03b1\u03c1\u03ce\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03c7\u03b5\u03b9\u03c1\u03cc\u03b3\u03c1\u03b1\u03c6\u03c9\u03bd \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03c3\u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03be\u03b1\u03b3\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ae\u03bd \u03c4\u03b7\u03bd (\u03c8\u03b7\u03c6\u03b9\u03b1\u03ba\u03ae) \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.\u00a0\u0391\u03c5\u03c4\u03cc \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c5\u03bd\u03ae\u03b8\u03c9\u03c2 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u00a0<\/span><em><span>\u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03b2\u03b1\u03c3\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03bd\u03b9\u03c3\u03c4\u03c9\u03c3\u03ce\u03bd<\/span><\/em><span>\u00a0(PCA), \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03be\u03ac\u03b3\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b1 \u03ba\u03cd\u03c1\u03b9\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03bc\u03b9\u03b1\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1\u03c2, \u03b3\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03c4\u03bf \u03cd\u03c8\u03bf\u03c2, \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2, \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b4\u03b9\u03ad\u03bb\u03b5\u03c5\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03bf\u03cd\u03c4\u03c9 \u03ba\u03b1\u03b8\u03b5\u03be\u03ae\u03c2 (\u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b3\u03b9\u03b1 PCA \u03c3\u03c4\u03bf \u03c0\u03bb\u03b1\u03af\u03c3\u03b9\u03bf \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03ce\u03c0\u03bf\u03c5\u00a0<\/span><a href=\"https:\/\/plus.maths.org\/content\/face-face\"><span>\u03b5\u03b4\u03ce<\/span><\/a><span>\u00a0).\u00a0\u0397 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b5\u03bd\u03ac \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03c2 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b9\u03b4\u03b9\u03bf\u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03b5\u03bd\u03cc\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03cd \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u03bc\u03b5 \u03c4\u03b7\u00a0<\/span><a href=\"https:\/\/plus.maths.org\/content\/amazing-librarian\"><span>\u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1<\/span><\/a><span>\u00a0\u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03b7 Google \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u03c0\u03b1\u03b3\u03ba\u03cc\u03c3\u03bc\u03b9\u03bf \u03b9\u03c3\u03c4\u03cc.<\/span><\/p>\n<p><span>\u0394\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf\u03bd, \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b5\u03be\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03ce\u03c3\u03c4\u03b5 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03c4\u03bf \u03c8\u03b7\u03c6\u03af\u03bf.\u00a0\u039c\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03b4\u03b7\u03bc\u03bf\u03c6\u03b9\u03bb\u03ae\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03b5\u03c4\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u00a0<\/span><em><span>\u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03c7\u03c4\u03c5<\/span><\/em><span>\u00a0.\u00a0\u0391\u03c5\u03c4\u03ae \u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c7\u03b1\u03bb\u03b1\u03c1\u03ac \u03c3\u03c4\u03bf \u03c0\u03ce\u03c2 \u03c0\u03b9\u03c3\u03c4\u03b5\u03cd\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03bf \u03b1\u03bd\u03b8\u03c1\u03ce\u03c0\u03b9\u03bd\u03bf\u03c2 \u03b5\u03b3\u03ba\u03ad\u03c6\u03b1\u03bb\u03bf\u03c2.\u00a0\u03a0\u03c1\u03ce\u03c4\u03bf\u03bd, \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bb\u03bb\u03bf\u03b3\u03ae \u03b1\u03c0\u03cc &#8220;\u03bd\u03b5\u03c5\u03c1\u03ce\u03bd\u03b5\u03c2&#8221; \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03b9\u03ba\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b4\u03ad\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03bf\u03c5\u03c2.\u00a0\u0391\u03c5\u03c4\u03ac \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03c3\u03c4\u03ad\u03bb\u03bd\u03bf\u03c5\u03bd \u03bc\u03b7\u03bd\u03cd\u03bc\u03b1\u03c4\u03b1 \u03bf \u03ad\u03bd\u03b1\u03c2 \u03c3\u03c4\u03bf\u03bd \u03ac\u03bb\u03bb\u03bf.\u00a0\u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03b6\u03b7\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03bd\u03b1 \u03bb\u03cd\u03c3\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03c4\u03bf \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ae\u03b4\u03b7 \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc.\u00a0\u039a\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c5\u03c4\u03cc \u00ab\u03bc\u03b1\u03b8\u03b1\u03af\u03bd\u03b5\u03b9\u00bb \u03c0\u03ce\u03c2 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c3\u03c5\u03bd\u03b4\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03c9\u03bd \u03bd\u03b5\u03c5\u03c1\u03ce\u03bd\u03c9\u03bd, \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03b4\u03b9\u03bf\u03c1\u03af\u03c3\u03b5\u03b9 \u03bc\u03b5 \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1 \u03c0\u03bf\u03b9\u03b1 \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03c3\u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03bf\u03b4\u03b7\u03b3\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03c3\u03c9\u03c3\u03c4\u03cc \u03b1\u03c0\u03bf\u03c4\u03ad\u03bb\u03b5\u03c3\u03bc\u03b1.<\/span><\/p>\n<p><span>\u0388\u03bd\u03b1 \u03c0\u03c1\u03ce\u03b9\u03bc\u03bf \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c5 \u03bd\u03b5\u03c5\u03c1\u03b9\u03ba\u03bf\u03cd \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03bc\u03bf\u03bd\u03ae\u03c2 \u03c3\u03c4\u03c1\u03ce\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03b5\u03c4\u03b1\u03b9\u00a0<\/span><em><span>perceptron, \u03c4\u03bf<\/span><\/em><span>\u00a0\u03bf\u03c0\u03bf\u03af\u03bf \u03c0\u03c1\u03bf\u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03bc\u03b5\u03bc\u03bf\u03bd\u03c9\u03bc\u03ad\u03bd\u03bf \u03bd\u03b5\u03c5\u03c1\u03ce\u03bd\u03b1.\u00a0\u0397 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b1 \u03c4\u03bf\u03c5 perceptron \u03b5\u03b9\u03c3\u03ae\u03c7\u03b8\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd\u00a0<\/span><a href=\"https:\/\/en.wikipedia.org\/wiki\/Frank_Rosenblatt\"><span>Frank Rosenblatt<\/span><\/a><span>\u00a0\u03c4\u03bf 1962. \u0397 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03b5\u03bd\u03cc\u03c2 perceptron \u03b1\u03c0\u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9.<\/span><\/p>\n<div class=\"centreimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/perceptron.png?resize=500%2C328&#038;ssl=1\" alt=\"Perceptron\" width=\"500\" height=\"328\" data-recalc-dims=\"1\" \/>&nbsp;<\/p>\n<\/div>\n<p><span>\u03a4\u03bf perceptron \u03c0\u03b1\u03af\u03c1\u03bd\u03b5\u03b9 \u03c9\u03c2 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$n$\" data-recalc-dims=\"1\" \/><span>\u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0002.png?w=700&#038;ssl=1\" alt=\"$X_1$\" data-recalc-dims=\"1\" \/><span>,\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0003.png?w=700&#038;ssl=1\" alt=\"$X_2$\" data-recalc-dims=\"1\" \/><span>, \u03ba\u03c4\u03bb, \u03bc\u03ad\u03c7\u03c1\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0004.png?w=700&#038;ssl=1\" alt=\"$X_ n.$\" data-recalc-dims=\"1\" \/><span>\u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c4\u03bf\u03bd \u03ba\u03b1\u03b8\u03ad\u03bd\u03b1\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0005.png?w=700&#038;ssl=1\" alt=\"$X_ i$\" data-recalc-dims=\"1\" \/><span>\u03bc\u03b5 \u03ad\u03bd\u03b1\u00a0<\/span><em><span>\u03b2\u03ac\u03c1\u03bf\u03c2<\/span><\/em>\u00a0<img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0006.png?w=700&#038;ssl=1\" alt=\"$w_ i$\" data-recalc-dims=\"1\" \/><span>\u00a0\u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03b8\u03ad\u03c4\u03b5\u03b9 \u03cc\u03bb\u03b1 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b1 \u03bc\u03b1\u03b6\u03af, \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03b9 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1<\/span><\/p>\n<table id=\"a0000000002\" class=\"equation\" width=\"100%\" cellspacing=\"0\" cellpadding=\"7\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0007.png?w=700&#038;ssl=1\" alt=\"\\[ w_1X_1+w_2X_2+...+w_ nX_ n.  \\]\" data-recalc-dims=\"1\" \/><\/td>\n<td><\/td>\n<td class=\"eqnnum\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span>\u0395\u03ac\u03bd \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03cc\u03c1\u03b9\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0008.png?w=700&#038;ssl=1\" alt=\"$C$\" data-recalc-dims=\"1\" \/><span>, \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 \u03bc\u03b9\u03b1 (\u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7) 1, \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b9\u03b1 (\u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7) 0. \u039c\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03bb\u03cc\u03b3\u03b9\u03b1, \u03c4\u03bf perceptron \u03b5\u03c0\u03b9\u03c3\u03c4\u03c1\u03ad\u03c6\u03b5\u03b9 \u03ad\u03bd\u03b1 1 \u03b5\u03ac\u03bd<\/span><\/p>\n<table id=\"a0000000003\" class=\"equation\" width=\"100%\" cellspacing=\"0\" cellpadding=\"7\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img decoding=\"async\" class=\"math gen\" style=\"box-sizing: border-box; border: none; vertical-align: baseline; margin: 2px; padding: 0px !important; width: 263px; height: 14px;\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0009.png?w=700&#038;ssl=1\" alt=\"\\[ w_1X_1+w_2X_2+...+w_ nX_ n - C&gt;0 \\]\" data-recalc-dims=\"1\" \/><\/td>\n<td><\/td>\n<td class=\"eqnnum\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span>\u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 0 \u03b1\u03bd<\/span><\/p>\n<table id=\"a0000000004\" class=\"equation\" width=\"100%\" cellspacing=\"0\" cellpadding=\"7\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/092656901ea1bc2485929c81b8956f55\/images\/img-0010.png?w=700&#038;ssl=1\" alt=\"\\[ w_1X_1+w_2X_2+...+w_ nX_ n - C \\leq 0. \\]\" data-recalc-dims=\"1\" \/><\/td>\n<td><\/td>\n<td class=\"eqnnum\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span>\u0393\u03b9\u03b1 \u03c4\u03bf \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03ac \u03bc\u03b1\u03c2, \u03bf\u03b9 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/a220ebde10192ea7515d66a7685aef3b\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$X_ i$\" data-recalc-dims=\"1\" \/><span>\u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03be\u03b1\u03b3\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c4\u03c9\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03c0\u03cc\u03c6\u03b1\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd \u03c4\u03bf \u03c8\u03b7\u03c6\u03af\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 3 \u03ae 4. \u0397 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 perceptron \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03c9\u03bd \u03b2\u03b1\u03c1\u03ce\u03bd\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/a220ebde10192ea7515d66a7685aef3b\/images\/img-0002.png?w=700&#038;ssl=1\" alt=\"$w_ i$\" data-recalc-dims=\"1\" \/><span>\u03ba\u03b1\u03b9 \u03b5\u03bd\u03cc\u03c2 \u03ba\u03b1\u03c4\u03c9\u03c6\u03bb\u03af\u03bf\u03c5\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/a220ebde10192ea7515d66a7685aef3b\/images\/img-0003.png?w=700&#038;ssl=1\" alt=\"$C$\" data-recalc-dims=\"1\" \/><span>\u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03c4\u03bf perceptron \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c3\u03c5\u03bd\u03ad\u03c0\u03b5\u03b9\u03b1 \u03c4\u03bf \u03c3\u03c9\u03c3\u03c4\u03cc \u03c8\u03b7\u03c6\u03af\u03bf.\u00a0\u0393\u03b9\u03b1 \u03bd\u03b1 \u03b3\u03af\u03bd\u03b5\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af\u03c4\u03b1\u03b9 \u03b7 \u03c0\u03c1\u03bf\u03c3\u03b5\u03ba\u03c4\u03b9\u03ba\u03ae \u03c7\u03c1\u03ae\u03c3\u03b7 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1.<\/span><\/p>\n<h3><span>\u0395\u03bd\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1<\/span><\/h3>\n<p><span>\u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03c6\u03b1\u03bd\u03c4\u03b1\u03c3\u03c4\u03b5\u03af\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b5\u03be\u03ac\u03b3\u03bf\u03c5\u03bc\u03b5 \u03bc\u03cc\u03bd\u03bf \u03b4\u03cd\u03bf \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$X_1$\" data-recalc-dims=\"1\" \/><span>\u03ba\u03b1\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0002.png?w=700&#038;ssl=1\" alt=\"$X_2$\" data-recalc-dims=\"1\" \/><span>\u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u2014\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$X_1$\" data-recalc-dims=\"1\" \/><span>\u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03ba\u03bf\u03bc\u03bc\u03b1\u03c4\u03b9\u03ce\u03bd \u03c4\u03b7\u03c2 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03ba\u03b1\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0002.png?w=700&#038;ssl=1\" alt=\"$X_2$\" data-recalc-dims=\"1\" \/><span>\u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc \u03c4\u03c9\u03bd \u03c6\u03bf\u03c1\u03ce\u03bd \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c3\u03c4\u03b1\u03c5\u03c1\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1.\u00a0\u039a\u03ac\u03b8\u03b5 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03c7\u03b5\u03b9\u03c1\u03bf\u03b3\u03c1\u03ac\u03c6\u03bf\u03c5 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c5 3 \u03ae 4 \u03ad\u03c1\u03c7\u03b5\u03c4\u03b1\u03b9 \u03c4\u03ce\u03c1\u03b1 \u03bc\u03b5 \u03b4\u03cd\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03ad\u03c4\u03c3\u03b9 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03bd\u03c4\u03bf\u03c0\u03b9\u03c3\u03c4\u03b5\u03af \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03c5\u03bd\u03c4\u03b5\u03c4\u03b1\u03b3\u03bc\u03ad\u03bd\u03c9\u03bd.\u00a0\u0394\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5 \u03cc\u03c4\u03b9 \u03ad\u03bd\u03b1 3 \u03b3\u03b5\u03bd\u03b9\u03ba\u03ac \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03c2 \u03b4\u03b9\u03ad\u03bb\u03b5\u03c5\u03c3\u03b7\u03c2, \u03bc\u03b9\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1 \u03c4\u03bf\u03c5 3 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc \u03bd\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03bf\u03bd\u03c4\u03ac \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0003.png?w=700&#038;ssl=1\" alt=\"$(0,0)$\" data-recalc-dims=\"1\" \/><span>.\u00a0\u039c\u03b5 \u03c4\u03c1\u03af\u03b1 \u03b5\u03c5\u03b8\u03cd\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03b4\u03b9\u03ad\u03bb\u03b5\u03c5\u03c3\u03b7\u03c2, \u03bf\u03b9 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03b5\u03bd\u03cc\u03c2 4 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc \u03bd\u03b1 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03ba\u03bf\u03bd\u03c4\u03ac \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0004.png?w=700&#038;ssl=1\" alt=\"$(3,1)$\" data-recalc-dims=\"1\" \/><span>.<\/span><\/p>\n<p><span>\u03a4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03c3\u03c4\u03bf perceptron \u03b4\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf<\/span><\/p>\n<table id=\"a0000000002\" class=\"equation\" width=\"100%\" cellspacing=\"0\" cellpadding=\"7\">\n<tbody>\n<tr>\n<td><\/td>\n<td><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0005.png?w=700&#038;ssl=1\" alt=\"\\[ w_1X_1+w_2X_2-C.  \\]\" data-recalc-dims=\"1\" \/><\/td>\n<td><\/td>\n<td class=\"eqnnum\"><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p><span>\u0393\u03b9\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0006.png?w=700&#038;ssl=1\" alt=\"$w_1$\" data-recalc-dims=\"1\" \/><span>,\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0007.png?w=700&#038;ssl=1\" alt=\"$w_2$\" data-recalc-dims=\"1\" \/><span>\u03ba\u03b1\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0008.png?w=700&#038;ssl=1\" alt=\"$C$\" data-recalc-dims=\"1\" \/><span>, \u03b7 \u03c1\u03cd\u03b8\u03bc\u03b9\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c4\u03bf 0 \u03bf\u03c1\u03af\u03b6\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae.\u00a0\u0395\u03ac\u03bd, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b9\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2, \u03c4\u03bf perceptron \u03ba\u03b1\u03c4\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b9 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03b3\u03b9\u03b1\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0006.png?w=700&#038;ssl=1\" alt=\"$w_1$\" data-recalc-dims=\"1\" \/><span>\u03ba\u03b1\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0007.png?w=700&#038;ssl=1\" alt=\"$w_2$\" data-recalc-dims=\"1\" \/><span>\u03ba\u03b1\u03b9\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/850f8df8449fe4b91a3870d773137f22\/images\/img-0008.png?w=700&#038;ssl=1\" alt=\"$C$\" data-recalc-dims=\"1\" \/><span>\u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03b7 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03c8\u03b7\u03c6\u03af\u03bf 3 \u03ba\u03b1\u03b9 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03cd\u03bd \u03c3\u03c4\u03bf \u03c8\u03b7\u03c6\u03af\u03bf 4, \u03c4\u03cc\u03c4\u03b5 \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03ba\u03b1\u03bb\u03ae \u03c0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bd\u03b1 \u03b5\u03bd\u03c4\u03bf\u03c0\u03af\u03c3\u03b5\u03b9 \u03bd\u03ad\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03c8\u03b7\u03c6\u03af\u03c9\u03bd \u03c3\u03c9\u03c3\u03c4\u03ac \u03b5\u03c0\u03af\u03c3\u03b7\u03c2.\u00a0\u0395\u03ac\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03ad\u03c4\u03bf\u03b9\u03b1 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9\u00a0<\/span><em><span>\u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03c3\u03b9\u03bc\u03b1<\/span><\/em><span>\u00a0.<\/span><\/p>\n<div class=\"centreimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/graph.png?resize=400%2C293&#038;ssl=1\" alt=\"\u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1\" width=\"400\" height=\"293\" data-recalc-dims=\"1\" \/><span>\u0391\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03bf\u03b9 \u03ba\u03cc\u03ba\u03ba\u03b9\u03bd\u03b5\u03c2 \u03ba\u03bf\u03c5\u03ba\u03ba\u03af\u03b4\u03b5\u03c2 \u03c0\u03c1\u03bf\u03ad\u03c1\u03c7\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 3 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03bc\u03c0\u03bb\u03b5 \u03b1\u03c0\u03cc \u03b5\u03b9\u03ba\u03cc\u03bd\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 4. \u0395\u03ac\u03bd \u03bf \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u00a0<\/span><em><span>C<\/span><\/em><span>\u00a0=2,\u00a0<\/span><em><span>X\u00a0<\/span><\/em><sub><span>1<\/span><\/sub><span>\u00a0=\u00a0<\/span><em><span>X\u00a0<\/span><\/em><sub><span>2<\/span><\/sub><span>\u00a0=1, \u03c4\u03cc\u03c4\u03b5 \u03c4\u03bf \u03c3\u03c4\u03b1\u03b8\u03bc\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03af\u03c3\u03bf \u03bc\u03b5 0 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u03c0\u03bf\u03c5 \u03c6\u03b1\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 .\u00a0\u0393\u03b9\u03b1 \u03c4\u03b1 \u03bc\u03c0\u03bb\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03bf \u03c3\u03c4\u03b1\u03b8\u03bc\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf \u03ac\u03b8\u03c1\u03bf\u03b9\u03c3\u03bc\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b5\u03b3\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03ba\u03cc\u03ba\u03ba\u03b9\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf \u03b1\u03c0\u03cc \u03c4\u03bf \u03bc\u03b7\u03b4\u03ad\u03bd, \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03bf \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2 \u03b8\u03b1 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c0\u03ac\u03bd\u03c4\u03b1 \u03bc\u03b9\u03b1 \u03c3\u03c9\u03c3\u03c4\u03ae \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/span><\/p>\n<\/div>\n<p><span>\u0395\u03ac\u03bd \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03bf\u03cd\u03bd \u03bc\u03b5 \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae \u2014 \u03b5\u03ac\u03bd \u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b4\u03b5\u03bd \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ac \u2014 \u03c4\u03cc\u03c4\u03b5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b1\u03c0\u03bb\u03ce\u03c3\u03b5\u03c4\u03b5 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b7 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03bb\u03c0\u03af\u03b6\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03b8\u03b1 \u03b3\u03af\u03bd\u03bf\u03c5\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03b9\u03c3\u03c4\u03ac \u03b5\u03ba\u03b5\u03af.\u00a0\u03a9\u03c2 \u03ad\u03bd\u03b1 \u03c0\u03bf\u03bb\u03cd \u03b1\u03c0\u03bb\u03cc \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c3\u03c7\u03b5\u03b4\u03b9\u03ac\u03c3\u03b5\u03c4\u03b5 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c3\u03c7\u03ae\u03bc\u03b1 &#8220;\u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03bf\u03b8\u03cc\u03bd\u03b7 \u03c3\u03b1\u03c2&#8221; \u03c3\u03c4\u03b7\u03bd \u03c4\u03c1\u03af\u03c4\u03b7 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03b1\u03c4\u03ac \u03bc\u03b9\u03b1 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5\u03c2 \u03b1\u03c0\u03cc\u03c3\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/1b73c3a497171fe64bd829b446809a8e\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$(0,0)$\" data-recalc-dims=\"1\" \/><span>.\u00a0\u0393\u03b5\u03bd\u03b9\u03ba\u03ac, \u03cc\u03bc\u03c9\u03c2, \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b9\u03bf \u03c0\u03b5\u03c1\u03af\u03c0\u03bb\u03bf\u03ba\u03b5\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2.\u00a0\u039a\u03b1\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac, \u03b5\u03ac\u03bd \u03b5\u03be\u03ac\u03b3\u03b5\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b1\u03c0\u03cc \u03b4\u03cd\u03bf \u03c7\u03b1\u03c1\u03b1\u03ba\u03c4\u03b7\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03b1 \u03b1\u03c1\u03c7\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03c4\u03b5 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c3\u03b5 \u03c5\u03c8\u03b7\u03bb\u03cc\u03c4\u03b5\u03c1\u03b5\u03c2 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03b9\u03c2.<\/span><\/p>\n<p><span>\u0397 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 perceptron \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03bb\u03bf\u03b3\u03b9\u03ba\u03ae \u03b5\u03c0\u03b9\u03c4\u03c5\u03c7\u03af\u03b1 \u03b3\u03b9\u03b1 \u03b3\u03ac\u03c4\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03ba\u03cd\u03bb\u03bf\u03c5\u03c2:<\/span><\/p>\n<div class=\"centreimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/cats_dogs.png?resize=480%2C480&#038;ssl=1\" alt=\"\u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03c7\u03c9\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1\" width=\"480\" height=\"480\" data-recalc-dims=\"1\" \/><span>\u0391\u03c5\u03c4\u03ac \u03c4\u03b1 \u03c3\u03c7\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b4\u03b5\u03af\u03c7\u03bd\u03bf\u03c5\u03bd \u03c0\u03ce\u03c2 \u03bf \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2 \u03b5\u03bd\u03b7\u03bc\u03b5\u03c1\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2 (\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c4\u03b7 \u03c3\u03c4\u03b1\u03b8\u03b5\u03c1\u03ac\u00a0<\/span><em><span>C<\/span><\/em><span>\u00a0\u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b2\u03ac\u03c1\u03b7\u00a0<\/span><em><span>w\u00a0<\/span><\/em><sub><span>1<\/span><\/sub><span>\u00a0\u03ba\u03b1\u03b9\u00a0<\/span><em><span>w\u00a0<\/span><\/em><sub><span>2<\/span><\/sub><span>\u00a0) \u03ba\u03b1\u03b8\u03ce\u03c2 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b4\u03b9\u03b1\u03b8\u03ad\u03c3\u03b9\u03bc\u03b1 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2.\u00a0\u0395\u03b9\u03ba\u03cc\u03bd\u03b1:\u00a0<\/span><a href=\"https:\/\/commons.wikimedia.org\/wiki\/File:Perceptron_example.svg\"><span>Elizabeth Goodspeed,\u00a0<\/span><\/a><a href=\"https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/deed.en\"><span>CC BY-SA 4.0<\/span><\/a><span>\u00a0.<\/span><\/p>\n<\/div>\n<h3><span>\u039d\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03ac \u03b4\u03af\u03ba\u03c4\u03c5\u03b1 \u03ba\u03b1\u03b9 \u03b2\u03b1\u03b8\u03b9\u03ac \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7<\/span><\/h3>\n<p><span>\u03a4\u03bf \u03b1\u03c0\u03bb\u03cc perceptron \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b5 \u03bd\u03b1 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b5\u03af \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b1\u03c0\u03bb\u03ad\u03c2 \u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b5\u03c2, \u03b1\u03bb\u03bb\u03ac \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03ad\u03c6\u03c4\u03b1\u03c3\u03b5 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c4\u03bf\u03c5.\u00a0\u0389\u03c4\u03b1\u03bd \u03c0\u03c1\u03bf\u03c6\u03b1\u03bd\u03ad\u03c2 \u03cc\u03c4\u03b9 \u03b8\u03b1 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03c3\u03b1\u03bd \u03bd\u03b1 \u03b5\u03c0\u03b9\u03c4\u03b5\u03c5\u03c7\u03b8\u03bf\u03cd\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03cd\u03b6\u03b5\u03c5\u03be\u03b7 \u03c0\u03bf\u03bb\u03bb\u03ce\u03bd perceptrons \u03bc\u03b1\u03b6\u03af, \u03b1\u03bb\u03bb\u03ac \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b5\u03be\u03ad\u03bb\u03b9\u03be\u03b7 \u03ad\u03c0\u03c1\u03b5\u03c0\u03b5 \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bc\u03ad\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03ad\u03bb\u03b5\u03c5\u03c3\u03b7 \u03c0\u03b9\u03bf \u03b9\u03c3\u03c7\u03c5\u03c1\u03ce\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd.\u00a0\u0397 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b7 \u03b1\u03bd\u03b1\u03ba\u03ac\u03bb\u03c5\u03c8\u03b7 \u03ae\u03c1\u03b8\u03b5 \u03cc\u03c4\u03b1\u03bd \u03c3\u03c4\u03c1\u03ce\u03bc\u03b1\u03c4\u03b1 \u03c0\u03b5\u03c1\u03c3\u03b5\u03c0\u03c4\u03bf\u03bd\u03af\u03c9\u03bd \u03c3\u03c5\u03b6\u03b5\u03cd\u03c7\u03b8\u03b7\u03ba\u03b1\u03bd \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03bf\u03c5\u03bd \u03ad\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf.\u00a0\u0397 \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b1\u03c1\u03c7\u03b9\u03c4\u03b5\u03ba\u03c4\u03bf\u03bd\u03b9\u03ba\u03ae \u03b5\u03bd\u03cc\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c5 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03bf\u03cd \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5 \u03b1\u03c0\u03b5\u03b9\u03ba\u03bf\u03bd\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9.\u00a0\u03a3\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03bf\u03b9 \u03b5\u03af\u03c3\u03bf\u03b4\u03bf\u03b9 \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03bd\u03b5\u03c1\u03b3\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c3\u03c4\u03c1\u03ce\u03bc\u03b1 perceptrons.\u00a0\u039f\u03b9 \u03ad\u03be\u03bf\u03b4\u03bf\u03b9 \u03b1\u03c0\u03cc \u03b1\u03c5\u03c4\u03ac \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03bd\u03b5\u03c1\u03b3\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03bf\u03c5\u03bd \u03c4\u03bf \u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf \u03c3\u03c4\u03c1\u03ce\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b4\u03ce\u03c3\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03ad\u03be\u03bf\u03b4\u03bf.<\/span><\/p>\n<div class=\"centreimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/neural_net.png?resize=500%2C336&#038;ssl=1\" alt=\"\u0388\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03c7\u03c4\u03c5\" width=\"500\" height=\"336\" data-recalc-dims=\"1\" \/>&nbsp;<\/p>\n<\/div>\n<p><span>\u038c\u03c3\u03bf \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03b1 \u03ad\u03c7\u03b5\u03c4\u03b5 \u03c4\u03cc\u03c3\u03bf \u03c0\u03b9\u03bf \u00ab\u03b2\u03b1\u03b8\u03cd\u00bb \u03b4\u03af\u03ba\u03c4\u03c5\u03bf.\u00a0\u0388\u03bd\u03b1 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03b8\u03b5\u03c3\u03b7 \u03b2\u03b1\u03c1\u03ce\u03bd \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03bc\u03af\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03c3\u03c5\u03bd\u03b4\u03ad\u03c3\u03b5\u03b9\u03c2.\u00a0\u0391\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03ad\u03c7\u03b5\u03b9 \u03c3\u03ba\u03bf\u03c0\u03cc \u03bd\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03bf \u03b5\u03b3\u03ba\u03ad\u03c6\u03b1\u03bb\u03bf\u03c2 \u03b5\u03bd\u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03ae \u03b1\u03c0\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03ce\u03bd\u03b5\u03b9 \u03c4\u03b1 \u03bd\u03b5\u03c5\u03c1\u03b9\u03ba\u03ac \u03bc\u03bf\u03bd\u03bf\u03c0\u03ac\u03c4\u03b9\u03b1.\u00a0<\/span><em><span>\u0397 \u03b2\u03b1\u03b8\u03b9\u03ac \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7<\/span><\/em><span>\u00a0\u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c5 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03bf\u03cd \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5.<\/span><\/p>\n<p><span>\u03a4\u03bf \u03b3\u03b5\u03b3\u03bf\u03bd\u03cc\u03c2 \u03cc\u03c4\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc \u03bf\u03c6\u03b5\u03af\u03bb\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03bd\u03ad\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2, \u03c3\u03b5 \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03b5\u03c4\u03b1\u03bc\u03ad\u03bd\u03b7 (\u03c3\u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2\u00a0\u03c4\u03b5\u03c1\u03ac\u03c3\u03c4\u03b9\u03b1\u03c2 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7\u03c2\u00a0<\/span><a href=\"https:\/\/en.wikipedia.org\/wiki\/DeepMind\"><span>DeepMind<\/span><\/a><span>\u00a0\u03c4\u03b7\u03c2 Google\u00a0) \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ce\u03bd.\u00a0\u03a3\u03c4\u03bf \u03c4\u03ad\u03bb\u03bf\u03c2 \u03b1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1\u03c2 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03c9\u03bd \u03b2\u03b1\u03c1\u03ce\u03bd\u00a0<\/span><img decoding=\"async\" class=\"math gen\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/MI\/158f5b543496c791777446d9f1c84a51\/images\/img-0001.png?w=700&#038;ssl=1\" alt=\"$w_ i$\" data-recalc-dims=\"1\" \/><span>\u03b3\u03b9\u03b1 \u03c4\u03bf \u03b4\u03af\u03ba\u03c4\u03c5\u03bf, \u03c4\u03cc\u03c4\u03b5 \u03ad\u03c7\u03b5\u03c4\u03b5 \u03ad\u03bd\u03b1\u00a0<\/span><em><span>\u03bc\u03b1\u03cd\u03c1\u03bf \u03ba\u03bf\u03c5\u03c4\u03af<\/span><\/em><span>\u00a0\u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c4\u03c1\u03ad\u03be\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03b3\u03c1\u03ae\u03b3\u03bf\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03ac\u03c1\u03b5\u03b9 \u00ab\u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2\u00bb.\u00a0\u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c0\u03b1\u03af\u03be\u03b5\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03b5\u03bd\u03cc\u03c2 \u03bd\u03b5\u03c5\u03c1\u03b9\u03ba\u03bf\u03cd \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5 \u03c3\u03b5\u00a0<\/span><a href=\"http:\/\/playground.tensorflow.org\/\"><span>\u03b1\u03c5\u03c4\u03cc\u03bd \u03c4\u03bf\u03bd \u03b9\u03c3\u03c4\u03cc\u03c4\u03bf\u03c0\u03bf<\/span><\/a><span>\u00a0.<\/span><\/p>\n<h3><span>\u0394\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2<\/span><\/h3>\n<p><span>\u03a3\u03c5\u03bd\u03bf\u03c0\u03c4\u03b9\u03ba\u03ac, \u03b1\u03be\u03af\u03b6\u03b5\u03b9 \u03bd\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2 \u03bb\u03af\u03b3\u03bf \u03c0\u03b9\u03bf \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ac.\u00a0\u03a5\u03c0\u03ac\u03c1\u03c7\u03bf\u03c5\u03bd \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03bc\u03bf\u03c1\u03c6\u03ad\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03ad\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf.<\/span><\/p>\n<p><span>\u03a3\u03c4\u03b7\u03bd\u00a0<\/span><em><span>\u03b5\u03c0\u03bf\u03c0\u03c4\u03b5\u03c5\u03cc\u03bc\u03b5\u03bd\u03b7 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7<\/span><\/em><span>\u00a0\u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b5\u03ba \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c4\u03ad\u03c1\u03c9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c7\u03c1\u03ae\u03c3\u03c4\u03b7 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03ba\u03c4\u03cd\u03bf\u03c5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03b9\u03b3\u03bc\u03ac\u03c4\u03c9\u03bd \u03b6\u03b5\u03c5\u03b3\u03ce\u03bd \u03b5\u03b9\u03c3\u03cc\u03b4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b5\u03be\u03cc\u03b4\u03c9\u03bd.\u00a0\u0397 \u03bc\u03b1\u03b8\u03b7\u03c3\u03b9\u03b1\u03ba\u03ae \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c3\u03c4\u03bf\u03c7\u03b5\u03cd\u03b5\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03c0\u03bf\u03c5 \u03b4\u03af\u03bd\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03ad\u03be\u03bf\u03b4\u03bf \u03c0\u03bf\u03c5 \u03c4\u03b1\u03b9\u03c1\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1.\u00a0\u0397 \u03c3\u03c5\u03bd\u03ae\u03b8\u03b7\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03bc\u03b5 \u03b1\u03c5\u03c4\u03ae \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03b9\u03b3\u03bc\u03ac\u03c4\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03bd\u03b1 \u03b2\u03c1\u03b5\u03b8\u03b5\u03af \u03c4\u03bf\u00a0<\/span><em><a href=\"https:\/\/en.wikipedia.org\/wiki\/Mean_squared_error\"><span>\u03bc\u03ad\u03c3\u03bf \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03c9\u03bd\u03b9\u03ba\u03cc \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1<\/span><\/a><\/em><span>\u00a0\u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03c4\u03b7\u03c2 \u03c3\u03c9\u03c3\u03c4\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03be\u03cc\u03b4\u03bf\u03c5.\u00a0\u03a3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1, \u03c4\u03bf \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03b5\u03c4\u03b1\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03c3\u03c6\u03ac\u03bb\u03bc\u03b1 \u03c3\u03b5 \u03cc\u03bb\u03bf \u03c4\u03bf \u03c3\u03b5\u03c4 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2.\u00a0\u039c\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd \u03c4\u03c5\u03c0\u03b9\u03ba\u03ae \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03b1\u03c5\u03c4\u03bf\u03cd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae\u03c2 \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7\u03c2 \u03c3\u03c4\u03b1 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ac, \u03b1\u03bb\u03bb\u03ac \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03ba\u03b1\u03bb\u03ac \u03b3\u03b9\u03b1 \u03c7\u03b5\u03b9\u03c1\u03cc\u03b3\u03c1\u03b1\u03c6\u03b1 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7\u03c2 \u03c0\u03c1\u03bf\u03c4\u03cd\u03c0\u03c9\u03bd.<\/span><\/p>\n<p><span>\u03a3\u03c4\u03b7\u03bd\u00a0<\/span><em><span>\u03b5\u03bd\u03b9\u03c3\u03c7\u03c5\u03c4\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7<\/span><\/em><span>\u00a0\u03c4\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03b4\u03b5\u03bd \u03b4\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03ba \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c4\u03ad\u03c1\u03c9\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03c7\u03c1\u03ae\u03c3\u03c4\u03b7, \u03b1\u03bb\u03bb\u03ac \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b5\u03b3\u03ba\u03b1\u03af\u03c1\u03c9\u03c2 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b1\u03bb\u03bb\u03b7\u03bb\u03b5\u03c0\u03b9\u03b4\u03c1\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03bb\u03ad\u03b3\u03c7\u03b5\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03bc\u03b5 \u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd.\u00a0\u03a3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03c4\u03b9\u03b3\u03bc\u03ae \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03b5\u03ba\u03c4\u03b5\u03bb\u03b5\u03af \u03bc\u03b9\u03b1 \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd \u03c0\u03bf\u03c5 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03b1\u03c5\u03c4\u03ae\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1\u03c2.\u00a0\u03a4\u03bf \u03b4\u03af\u03ba\u03c4\u03c5\u03bf \u03b5\u03af\u03bd\u03b1\u03b9 \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03bc\u03ad\u03bd\u03bf \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03b9 \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03c4\u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2.\u00a0\u0391\u03c0\u03cc \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b1\u03c0\u03cc\u03c8\u03b5\u03b9\u03c2 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03c0\u03bf\u03c5 \u03bc\u03b1\u03b8\u03b1\u03af\u03bd\u03b5\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03ac\u03bd\u03b8\u03c1\u03c9\u03c0\u03bf\u03c2 (\u03b5\u03b9\u03b4\u03b9\u03ba\u03ac \u03ad\u03bd\u03b1 \u03bc\u03b9\u03ba\u03c1\u03cc \u03c0\u03b1\u03b9\u03b4\u03af).<\/span><\/p>\n<div class=\"rightimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2018\/machibe_learning\/chess.jpg?resize=350%2C234&#038;ssl=1\" alt=\"\u03a3\u03ba\u03b1\u03ba\u03b9\u03ad\u03c1\u03b1\" width=\"350\" height=\"234\" data-recalc-dims=\"1\" \/><span>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03c0\u03b1\u03af\u03b6\u03b5\u03c4\u03b5 \u03c3\u03ba\u03ac\u03ba\u03b9, \u03bf \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae\u03c2 \u03c3\u03ba\u03b1\u03ba\u03b9\u03bf\u03cd AlphaZero \u03ad\u03c0\u03b1\u03b9\u03be\u03b5 700.000 \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9\u03b1 \u03b5\u03bd\u03b1\u03bd\u03c4\u03af\u03bf\u03bd \u03c4\u03bf\u03c5.<\/span><\/p>\n<\/div>\n<p><span>\u039f\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03ad\u03c7\u03bf\u03c5\u03bd \u03c0\u03c1\u03bf\u03c7\u03c9\u03c1\u03ae\u03c3\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03c4\u03b1 \u03c4\u03b5\u03bb\u03b5\u03c5\u03c4\u03b1\u03af\u03b1 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1.\u00a0<\/span><em><span>\u03a4\u03b1 \u03c3\u03c5\u03bd\u03b5\u03bb\u03b9\u03ba\u03c4\u03b9\u03ba\u03ac \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03ac \u03b4\u03af\u03ba\u03c4\u03c5\u03b1<\/span><\/em><span>\u00a0(CNN) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b1\u03c1\u03c0\u03b1\u03c3\u03c4\u03b9\u03ba\u03ae, \u03bd\u03ad\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ae \u03b5\u03c0\u03ad\u03ba\u03c4\u03b1\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ce\u03bd \u03c4\u03c9\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03c3\u03c5\u03bd\u03b4\u03c5\u03ac\u03b6\u03bf\u03c5\u03bd \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1\u03c2 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1\u03c2 \u03bc\u03b5 \u03ad\u03bd\u03b1 \u03b2\u03b1\u03b8\u03cd \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf.\u00a0\u039c\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b7\u03b8\u03bf\u03cd\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03bd\u03ce\u03c1\u03b9\u03c3\u03b7 \u03c0\u03c1\u03bf\u03c3\u03ce\u03c0\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03af\u03c7\u03bd\u03b5\u03c5\u03c3\u03b7 \u03c3\u03c5\u03bd\u03b1\u03b9\u03c3\u03b8\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd.\u00a0\u03a4\u03ce\u03c1\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03ac\u03bb\u03bb\u03b5\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2, \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03b1\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03c9\u03bd \u03b9\u03b1\u03c4\u03c1\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03b3\u03bd\u03ce\u03c3\u03b5\u03c9\u03bd.<\/span><\/p>\n<p><span>\u0393\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03c0\u03b1\u03af\u03b6\u03b5\u03c4\u03b5 \u03c3\u03ba\u03ac\u03ba\u03b9 \u03c4\u03cc\u03c3\u03bf \u03ba\u03b1\u03bb\u03ac, \u03c4\u03bf AlphaZero \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b2\u03b1\u03b8\u03cd \u03c3\u03c5\u03bd\u03b5\u03bb\u03b9\u03ba\u03c4\u03b9\u03ba\u03cc \u03bd\u03b5\u03c5\u03c1\u03c9\u03bd\u03b9\u03ba\u03cc \u03b4\u03af\u03ba\u03c4\u03c5\u03bf.\u00a0\u0391\u03c5\u03c4\u03cc \u03b5\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03cd\u03c4\u03b7\u03ba\u03b5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03bc\u03b9\u03b1 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03b5\u03bd\u03af\u03c3\u03c7\u03c5\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03c4\u03bf \u03bc\u03b7\u03c7\u03ac\u03bd\u03b7\u03bc\u03b1 \u03bd\u03b1 \u03c0\u03b1\u03af\u03b6\u03b5\u03b9 700.000 \u03c0\u03b1\u03b9\u03c7\u03bd\u03af\u03b4\u03b9\u03b1 \u03b5\u03bd\u03b1\u03bd\u03c4\u03af\u03bf\u03bd \u03c4\u03bf\u03c5 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03b5 24 \u03ce\u03c1\u03b5\u03c2.\u00a0\u0393\u03b9\u03b1 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03b2\u03b1\u03c1\u03ce\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03ad\u03bd\u03b1\u03c2 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c2 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2 \u03b4\u03ad\u03bd\u03c4\u03c1\u03c9\u03bd Monte-Carlo (MCTS) \u03b3\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c7\u03c1\u03ae\u03c3\u03b7\u03c2.\u00a0\u039c\u03b9\u03b1 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03b1 \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03bf\u03c5\u03bc\u03b5 \u03c0\u03ce\u03c2 \u03bd\u03b1 \u03c0\u03b1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 Shogi and Go \u03ba\u03b1\u03b9 \u03c3\u03b5 \u03ba\u03ac\u03b8\u03b5 \u03c0\u03b5\u03c1\u03af\u03c0\u03c4\u03c9\u03c3\u03b7 \u03b5\u03c0\u03b9\u03c4\u03b5\u03cd\u03c7\u03b8\u03b7\u03ba\u03b5 \u03c0\u03b1\u03c1\u03cc\u03bc\u03bf\u03b9\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7\u03c2.\u00a0\u0395\u039d\u03a4\u03a5\u03a0\u03a9\u03a3\u0399\u0391\u039a\u039f!<\/span><\/p>\n<p><span>\u0397 \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf\u03c2 \u03c3\u03c4\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03b5\u03be\u03b5\u03bb\u03af\u03c3\u03c3\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b3\u03bf\u03c1\u03b3\u03bf\u03cd\u03c2 \u03c1\u03c5\u03b8\u03bc\u03bf\u03cd\u03c2, \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b4\u03b9\u03b1\u03c1\u03ba\u03ce\u03c2 \u03b1\u03c5\u03be\u03b1\u03bd\u03cc\u03bc\u03b5\u03bd\u03b7 \u03c4\u03ac\u03c3\u03b7 \u03b3\u03b9\u03b1 \u03c0\u03b9\u03bf \u03b5\u03be\u03b5\u03bb\u03b9\u03b3\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03b2\u03b1\u03b8\u03cd\u03c4\u03b5\u03c1\u03b1 \u03b4\u03af\u03ba\u03c4\u03c5\u03b1, \u03bc\u03b5 \u03b3\u03bd\u03ce\u03bc\u03bf\u03bd\u03b1 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03c5\u03c2 \u03b5\u03ba\u03c0\u03b1\u03af\u03b4\u03b5\u03c5\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03cc\u03bb\u03bf \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1.\u00a0\u0395\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03b1\u03c3\u03c6\u03b1\u03bb\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03b7\u03b8\u03b9\u03ba\u03cc \u03bd\u03b1 \u03b1\u03c6\u03ae\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b6\u03c9\u03ae, \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03b9\u03b1\u03c4\u03c1\u03b9\u03ba\u03ad\u03c2 \u03b4\u03b9\u03b1\u03b3\u03bd\u03ce\u03c3\u03b5\u03b9\u03c2, \u03c3\u03c4\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ae\u03bc\u03b1\u03c4\u03b1;\u00a0\u0391\u03c5\u03c4\u03cc \u03b8\u03b1 \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c3\u03c4\u03bf\u00a0<\/span><a href=\"https:\/\/plus.maths.org\/content\/what-can-we-use-machine-learning\"><span>\u03b5\u03c0\u03cc\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf<\/span><\/a><span>\u00a0.<\/span><\/p>\n<hr \/>\n<h3><span>\u03a3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03b1\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf<\/span><\/h3>\n<p><span>\u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b2\u03b1\u03c3\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03b9\u03b1 \u03bf\u03bc\u03b9\u03bb\u03af\u03b1 \u03c3\u03c4\u03b7\u00a0<\/span><a href=\"https:\/\/www.gresham.ac.uk\/series\/mathematics-and-the-making-of-the-modern-and-future-world\/\"><span>\u03c3\u03b5\u03b9\u03c1\u03ac \u03b4\u03b9\u03b1\u03bb\u03ad\u03be\u03b5\u03c9\u03bd<\/span><\/a><span>\u00a0\u03c4\u03bf\u03c5 Budd&#8217;s\u00a0<a href=\"https:\/\/www.gresham.ac.uk\/series\/mathematics-and-the-making-of-the-modern-and-future-world\/\">Gresham College<\/a>\u00a0(\u03b4\u03b5\u03af\u03c4\u03b5 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03b2\u03af\u03bd\u03c4\u03b5\u03bf). \u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b5\u03af\u03c4\u03b5 \u03ac\u03bb\u03bb\u03b1 \u03ac\u03c1\u03b8\u03c1\u03b1 \u03c0\u03bf\u03c5 \u03b2\u03b1\u03c3\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03bf\u03bc\u03b9\u03bb\u03af\u03b1\u00a0<\/span><a href=\"https:\/\/plus.maths.org\/content\/rise-machines\"><span>\u03b5\u03b4\u03ce<\/span><\/a><span>\u00a0.<\/span><\/p>\n<div class=\"rightimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2015\/Mornington\/chris.jpg?resize=250%2C153&#038;ssl=1\" alt=\"\u039a\u03c1\u03b9\u03c2 \u039c\u03c0\u03b1\u03bd\u03c4\" width=\"250\" height=\"153\" data-recalc-dims=\"1\" \/><span>\u039a\u03c1\u03b9\u03c2 \u039c\u03c0\u03b1\u03bd\u03c4.<\/span><\/p>\n<\/div>\n<p><span>\u039f Chris Budd OBE \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u03c4\u03bf\u03c5 \u039c\u03c0\u03b1\u03b8, \u0391\u03bd\u03c4\u03b9\u03c0\u03c1\u03cc\u03b5\u03b4\u03c1\u03bf\u03c2 \u03c4\u03bf\u03c5\u00a0<\/span><a href=\"http:\/\/www.ima.org.uk\/\"><span>\u0399\u03bd\u03c3\u03c4\u03b9\u03c4\u03bf\u03cd\u03c4\u03bf\u03c5 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ce\u03bd \u03c4\u03bf\u03c5<\/span><\/a><span>\u00a0, \u03a0\u03c1\u03cc\u03b5\u03b4\u03c1\u03bf\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03b3\u03b9\u03b1 \u03c4\u03bf\u00a0<\/span><a href=\"http:\/\/www.rigb.org\/registrationControl?action=home\"><span>\u0392\u03b1\u03c3\u03b9\u03bb\u03b9\u03ba\u03cc \u038a\u03b4\u03c1\u03c5\u03bc\u03b1<\/span><\/a><span>\u00a0\u03ba\u03b1\u03b9 \u03b5\u03c0\u03af\u03c4\u03b9\u03bc\u03bf\u03c2 \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03ac\u03c4\u03b7\u03c2 \u03c4\u03b7\u03c2\u00a0<\/span><a href=\"http:\/\/www.britishscienceassociation.org\/\"><span>\u0392\u03c1\u03b5\u03c4\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u0395\u03c4\u03b1\u03b9\u03c1\u03b5\u03af\u03b1\u03c2 \u0395\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd<\/span><\/a><span>\u00a0. \u0395\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03c4\u03b1\u03b9 \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03b1 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c3\u03c4\u03bf\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03ba\u03cc\u03c3\u03bc\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03ce\u03b8\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03ba\u03bf\u03b9\u03bd\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd.<\/span><\/p>\n<p><span>\u0388\u03c7\u03b5\u03b9 \u03c3\u03c5\u03bd-\u03b3\u03c1\u03ac\u03c8\u03b5\u03b9 \u03c4\u03bf \u03b4\u03b7\u03bc\u03bf\u03c6\u03b9\u03bb\u03ad\u03c2 \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd\u00a0<\/span><em><a href=\"https:\/\/plus.maths.org\/content\/mathematics-galore\"><span>Mathematics Galore!\u00a0<\/span><\/a><\/em><span>, \u03c0\u03bf\u03c5 \u03b5\u03ba\u03b4\u03cc\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 Oxford University Press, \u03bc\u03b5 \u03c4\u03bf\u03bd C. Sangwin, \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c3\u03c4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf\u00a0<\/span><em><a href=\"https:\/\/global.oup.com\/academic\/product\/50-visions-of-mathematics-9780198701811?cc=gb&amp;lang=en&amp;\"><span>50 Visions of Mathematics<\/span><\/a><\/em><span>\u00a0ed.\u00a0\u03a3\u03b1\u03bc \u03a0\u03b1\u03c1\u03ba.<\/span><\/p>\n<p><em><span>\u0391\u03c5\u03c4\u03cc \u03c4\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af \u03c0\u03bb\u03ad\u03bf\u03bd \u03bc\u03ad\u03c1\u03bf\u03c2 \u03c4\u03b7\u03c2\u00a0<\/span><a href=\"https:\/\/plus.maths.org\/content\/mathematics-deep-learning\"><span>\u03ba\u03ac\u03bb\u03c5\u03c8\u03b7\u03c2<\/span><\/a><span>\u00a0\u03b5\u03bd\u03cc\u03c2\u00a0<\/span><a href=\"https:\/\/www.newton.ac.uk\/event\/mdl\/\"><span>\u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03bf\u03cd \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03bf\u03cd \u03c0\u03c1\u03bf\u03b3\u03c1\u03ac\u03bc\u03bc\u03b1\u03c4\u03bf\u03c2<\/span><\/a><span>\u00a0\u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b1\u03b8\u03b9\u03ac \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf\u00a0<\/span><a href=\"https:\/\/www.newton.ac.uk\/\"><span>\u0399\u03bd\u03c3\u03c4\u03b9\u03c4\u03bf\u03cd\u03c4\u03bf<\/span><\/a><span>\u00a0\u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u0395\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd\u00a0<a href=\"https:\/\/www.newton.ac.uk\/\">Isaac Newton<\/a>\u00a0(INI) \u03c3\u03c4\u03bf \u039a\u03ad\u03bc\u03c0\u03c1\u03b9\u03c4\u03b6.\u00a0\u03a4\u03bf INI \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b4\u03b9\u03b5\u03b8\u03bd\u03ad\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03b9\u03ba\u03cc \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf \u03ba\u03b1\u03b9 \u03bf \u03b3\u03b5\u03af\u03c4\u03bf\u03bd\u03ac\u03c2 \u03bc\u03b1\u03c2 \u03b5\u03b4\u03ce \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03b9\u03bf\u03cd\u03c0\u03bf\u03bb\u03b7 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03bf\u03c5 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5 \u03c4\u03bf\u03c5 Cambridge.\u00a0\u03a0\u03c1\u03bf\u03c3\u03b5\u03bb\u03ba\u03cd\u03b5\u03b9 \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03bf\u03bd\u03b5\u03c2 \u03b1\u03c0\u03cc \u03cc\u03bb\u03bf \u03c4\u03bf\u03bd \u03ba\u03cc\u03c3\u03bc\u03bf \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03bf\u03b9\u03c7\u03c4\u03cc \u03c3\u03b5 \u03cc\u03bb\u03bf\u03c5\u03c2.\u00a0\u0395\u03c0\u03b9\u03c3\u03ba\u03b5\u03c6\u03b8\u03b5\u03af\u03c4\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7\u00a0<\/span><a href=\"https:\/\/www.newton.ac.uk\/\"><span>www.newton.ac.uk<\/span><\/a><span>\u00a0\u03b3\u03b9\u03b1 \u03bd\u03b1 \u03bc\u03ac\u03b8\u03b5\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1.<\/span><\/em><\/p>\n<div class=\"centreimage\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/i0.wp.com\/plus.maths.org\/content\/sites\/plus.maths.org\/files\/articles\/2021\/representation\/ini_logo_green.jpg?resize=400%2C51&#038;ssl=1\" alt=\"\u039b\u03bf\u03b3\u03cc\u03c4\u03c5\u03c0\u03bf INI\" width=\"400\" height=\"51\" data-recalc-dims=\"1\" \/><\/div>\n<\/div>\n<div>\u03c0\u03b7\u03b3\u03ae: <a href=\"https:\/\/plus.maths.org\/content\/what-machine-learning\">https:\/\/plus.maths.org<\/a>\/<\/div>\n<\/div>\n<\/div>\n<\/article>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":49873,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[16],"tags":[],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/omathimatikos.gr\/?p=52721\" \/>\n<meta property=\"og:locale\" content=\"el_GR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"og:url\" content=\"https:\/\/omathimatikos.gr\/?p=52721\" \/>\n<meta property=\"og:site_name\" content=\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/omathimatikos\/\" \/>\n<meta property=\"article:published_time\" content=\"2021-12-19T07:35:34+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2021-12-12T07:42:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1\" \/>\n\t<meta property=\"og:image:width\" content=\"730\" \/>\n\t<meta property=\"og:image:height\" content=\"340\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"...\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u03a3\u03c5\u03bd\u03c4\u03ac\u03c7\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc\" \/>\n\t<meta name=\"twitter:data1\" content=\"...\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#article\",\"isPartOf\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721\"},\"author\":{\"name\":\"...\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe\"},\"headline\":\"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;\",\"datePublished\":\"2021-12-19T07:35:34+00:00\",\"dateModified\":\"2021-12-12T07:42:23+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721\"},\"wordCount\":71,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/omathimatikos.gr\/#organization\"},\"image\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1\",\"articleSection\":[\"\u0395\u039a\u03a0\u0391\u0399\u0394\u0395\u03a5\u03a4\u0399\u039a\u0391 \u039d\u0395\u0391\"],\"inLanguage\":\"el\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/omathimatikos.gr\/?p=52721#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721\",\"url\":\"https:\/\/omathimatikos.gr\/?p=52721\",\"name\":\"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"isPartOf\":{\"@id\":\"https:\/\/omathimatikos.gr\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#primaryimage\"},\"image\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#primaryimage\"},\"thumbnailUrl\":\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1\",\"datePublished\":\"2021-12-19T07:35:34+00:00\",\"dateModified\":\"2021-12-12T07:42:23+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#breadcrumb\"},\"inLanguage\":\"el\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/omathimatikos.gr\/?p=52721\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"el\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#primaryimage\",\"url\":\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1\",\"contentUrl\":\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1\",\"width\":730,\"height\":340},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/omathimatikos.gr\/?p=52721#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/omathimatikos.gr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/omathimatikos.gr\/#website\",\"url\":\"https:\/\/omathimatikos.gr\/\",\"name\":\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"description\":\"\u039a\u03ce\u03c3\u03c4\u03b1\u03c2 \u039c\u03c0\u03bf\u03c5\u03c1\u03b1\u03b6\u03ac\u03bd\u03b1\u03c2\",\"publisher\":{\"@id\":\"https:\/\/omathimatikos.gr\/#organization\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/omathimatikos.gr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"el\"},{\"@type\":\"Organization\",\"@id\":\"https:\/\/omathimatikos.gr\/#organization\",\"name\":\"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\",\"url\":\"https:\/\/omathimatikos.gr\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"el\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/\",\"url\":\"\",\"contentUrl\":\"\",\"caption\":\" \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3\"},\"image\":{\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/\"},\"sameAs\":[\"https:\/\/www.facebook.com\/omathimatikos\/\"]},{\"@type\":\"Person\",\"@id\":\"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe\",\"name\":\"...\",\"sameAs\":[\"http:\/\/omathimatikos.gr\"],\"url\":\"https:\/\/omathimatikos.gr\/?author=2\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/omathimatikos.gr\/?p=52721","og_locale":"el_GR","og_type":"article","og_title":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","og_url":"https:\/\/omathimatikos.gr\/?p=52721","og_site_name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","article_publisher":"https:\/\/www.facebook.com\/omathimatikos\/","article_published_time":"2021-12-19T07:35:34+00:00","article_modified_time":"2021-12-12T07:42:23+00:00","og_image":[{"width":730,"height":340,"url":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","type":"image\/png"}],"author":"...","twitter_card":"summary_large_image","twitter_misc":{"\u03a3\u03c5\u03bd\u03c4\u03ac\u03c7\u03b8\u03b7\u03ba\u03b5 \u03b1\u03c0\u03cc":"..."},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Article","@id":"https:\/\/omathimatikos.gr\/?p=52721#article","isPartOf":{"@id":"https:\/\/omathimatikos.gr\/?p=52721"},"author":{"name":"...","@id":"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe"},"headline":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;","datePublished":"2021-12-19T07:35:34+00:00","dateModified":"2021-12-12T07:42:23+00:00","mainEntityOfPage":{"@id":"https:\/\/omathimatikos.gr\/?p=52721"},"wordCount":71,"commentCount":0,"publisher":{"@id":"https:\/\/omathimatikos.gr\/#organization"},"image":{"@id":"https:\/\/omathimatikos.gr\/?p=52721#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","articleSection":["\u0395\u039a\u03a0\u0391\u0399\u0394\u0395\u03a5\u03a4\u0399\u039a\u0391 \u039d\u0395\u0391"],"inLanguage":"el","potentialAction":[{"@type":"CommentAction","name":"Comment","target":["https:\/\/omathimatikos.gr\/?p=52721#respond"]}]},{"@type":"WebPage","@id":"https:\/\/omathimatikos.gr\/?p=52721","url":"https:\/\/omathimatikos.gr\/?p=52721","name":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7; &#8211; \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","isPartOf":{"@id":"https:\/\/omathimatikos.gr\/#website"},"primaryImageOfPage":{"@id":"https:\/\/omathimatikos.gr\/?p=52721#primaryimage"},"image":{"@id":"https:\/\/omathimatikos.gr\/?p=52721#primaryimage"},"thumbnailUrl":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","datePublished":"2021-12-19T07:35:34+00:00","dateModified":"2021-12-12T07:42:23+00:00","breadcrumb":{"@id":"https:\/\/omathimatikos.gr\/?p=52721#breadcrumb"},"inLanguage":"el","potentialAction":[{"@type":"ReadAction","target":["https:\/\/omathimatikos.gr\/?p=52721"]}]},{"@type":"ImageObject","inLanguage":"el","@id":"https:\/\/omathimatikos.gr\/?p=52721#primaryimage","url":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","contentUrl":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","width":730,"height":340},{"@type":"BreadcrumbList","@id":"https:\/\/omathimatikos.gr\/?p=52721#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/omathimatikos.gr\/"},{"@type":"ListItem","position":2,"name":"\u03a4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7;"}]},{"@type":"WebSite","@id":"https:\/\/omathimatikos.gr\/#website","url":"https:\/\/omathimatikos.gr\/","name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","description":"\u039a\u03ce\u03c3\u03c4\u03b1\u03c2 \u039c\u03c0\u03bf\u03c5\u03c1\u03b1\u03b6\u03ac\u03bd\u03b1\u03c2","publisher":{"@id":"https:\/\/omathimatikos.gr\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/omathimatikos.gr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"el"},{"@type":"Organization","@id":"https:\/\/omathimatikos.gr\/#organization","name":"\u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3","url":"https:\/\/omathimatikos.gr\/","logo":{"@type":"ImageObject","inLanguage":"el","@id":"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/","url":"","contentUrl":"","caption":" \u039f \u039c\u0391\u0398\u0397\u039c\u0391\u03a4\u0399\u039a\u039f\u03a3"},"image":{"@id":"https:\/\/omathimatikos.gr\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/omathimatikos\/"]},{"@type":"Person","@id":"https:\/\/omathimatikos.gr\/#\/schema\/person\/f06b5f15d628d878ee88431b07152cbe","name":"...","sameAs":["http:\/\/omathimatikos.gr"],"url":"https:\/\/omathimatikos.gr\/?author=2"}]}},"jetpack_featured_media_url":"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2021\/04\/\u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae-\u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7.png?fit=730%2C340&ssl=1","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/52721"}],"collection":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=52721"}],"version-history":[{"count":1,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/52721\/revisions"}],"predecessor-version":[{"id":52722,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/posts\/52721\/revisions\/52722"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=\/wp\/v2\/media\/49873"}],"wp:attachment":[{"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=52721"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=52721"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/omathimatikos.gr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=52721"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}