{"id":8958,"date":"2018-04-27T17:38:20","date_gmt":"2018-04-27T14:38:20","guid":{"rendered":"https:\/\/mandoulides2.edu.gr\/ta-mathimatika-mesa-apo-ti-zoi-dyo-spoudaion-mathimatikon\/"},"modified":"2018-04-27T17:38:20","modified_gmt":"2018-04-27T14:38:20","slug":"ta-mathimatika-mesa-apo-ti-zoi-dyo-spoudaion-mathimatikon","status":"publish","type":"post","link":"https:\/\/mandoulides.edu.gr\/en\/ta-mathimatika-mesa-apo-ti-zoi-dyo-spoudaion-mathimatikon\/","title":{"rendered":"\u00ab\u03a4\u03b1 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03ad\u03c3\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b6\u03c9\u03ae \u03b4\u03cd\u03bf \u03c3\u03c0\u03bf\u03c5\u03b4\u03b1\u03af\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd\u00bb"},"content":{"rendered":"<p>\u03a3\u03c4\u03b9\u03c2 27 \u0391\u03c0\u03c1\u03b9\u03bb\u03af\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf \u0398\u03ad\u03b1\u03c4\u03c1\u03bf \u03c4\u03c9\u03bd \u0395\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b7\u03c1\u03af\u03c9\u03bd \u03bf\u03bc\u03b9\u03bb\u03af\u03b1 \u03bc\u03b5 \u03b8\u03ad\u03bc\u03b1 \u00ab\u03a4\u03b1 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03ad\u03c3\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b6\u03c9\u03ae \u03b4\u03cd\u03bf \u03c3\u03c0\u03bf\u03c5\u03b4\u03b1\u03af\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd\u00bb. \u039f\u03bc\u03b9\u03bb\u03b7\u03c4\u03ad\u03c2 \u03ae\u03c4\u03b1\u03bd \u03bf \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03cd\u03bb\u03bf\u03c5<span style=\"color: #0000ff;\"><sup>(1)<\/sup><\/span>, \u03bf\u03bc\u03cc\u03c4\u03b9\u03bc\u03bf\u03c2 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03a6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03bf \u03a3\u03c0\u03cd\u03c1\u03bf\u03c2 \u03a0\u03b1\u03c0\u03b1\u03c3\u03c4\u03b1\u03c5\u03c1\u03af\u03b4\u03b7\u03c2<sup><span style=\"color: #0000ff;\">(2)<\/span><\/sup> (\u03bf\u03bc\u03cc\u03c4\u03b9\u03bc\u03bf\u03c2 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u0395\u039a\u03a0\u0391).<\/p>\n<p>\u03a3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03af\u03b1\u03c3\u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03b5\u03af\u03c7\u03b1\u03bd \u03bf\u03b9 \u039f\u03bb\u03c5\u03bc\u03c0\u03b9\u03bf\u03bd\u03af\u03ba\u03b5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03c4\u03c9\u03bd \u0395\u03ba\u03c0\u03b1\u03b9\u03b4\u03b5\u03c5\u03c4\u03b7\u03c1\u03af\u03c9\u03bd \u0392. \u0393\u03b5\u03c9\u03c1\u03b3\u03b9\u03ac\u03b4\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03a1. \u03a4\u03c3\u03b9\u03ac\u03bc\u03b7\u03c2.<\/p>\n<p>\u03a4\u03b7\u03bd \u03b5\u03ba\u03b4\u03ae\u03bb\u03c9\u03c3\u03b7 \u03c0\u03b1\u03c1\u03b1\u03ba\u03bf\u03bb\u03bf\u03cd\u03b8\u03b7\u03c3\u03b1\u03bd \u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03c4\u03b7\u03c2 \u0391\u0384 \u03ba\u03b1\u03b9 \u0392\u0384 \u039b\u03c5\u03ba\u03b5\u03af\u03bf\u03c5 \u03ba\u03b1\u03b9 \u03cc\u03c3\u03bf\u03b9 \u03bc\u03b1\u03b8\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 \u0393\u03c5\u03bc\u03bd\u03b1\u03c3\u03af\u03bf\u03c5 \u03b4\u03b9\u03b1\u03ba\u03c1\u03af\u03b8\u03b7\u03ba\u03b1\u03bd \u03c3\u03c4\u03bf\u03c5\u03c2 \u03b4\u03b9\u03b1\u03b3\u03c9\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c4\u03b7\u03c2 \u0395\u039c\u0395.<\/p>\n<p>&nbsp;<\/p>\n<hr \/>\n<p><span style=\"font-size: 11pt;\"><span style=\"color: #0000ff;\"><sup>(1)<\/sup><\/span>\u00a0 \u039f \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03cd\u03bb\u03bf\u03c5 \u03b3\u03b5\u03bd\u03bd\u03ae\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03b7\u03bd \u0391\u03b8\u03ae\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03ae\u03c1\u03b5 \u03c4\u03bf \u03b4\u03b9\u03b4\u03b1\u03ba\u03c4\u03bf\u03c1\u03b9\u03ba\u03cc \u03c4\u03bf\u03c5 \u03c3\u03c4\u03b7 \u03a6\u03c5\u03c3\u03b9\u03ba\u03ae \u03c3\u03b5 \u03b7\u03bb\u03b9\u03ba\u03af\u03b1 \u03bc\u03cc\u03bb\u03b9\u03c2 20 \u03b5\u03c4\u03ce\u03bd \u03b1\u03c0\u03cc \u03c4\u03bf \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf Princeton \u03c4\u03bf 1971 \u03bc\u03b5 \u03b5\u03c0\u03b9\u03b2\u03bb\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1 \u03c4\u03bf\u03bd John Wheeler. \u039c\u03b5\u03c4\u03ac \u03b1\u03c0\u03cc \u03ad\u03bd\u03b1 \u03c7\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03c3\u03b5 \u03c0\u03c1\u03bf\u03c3\u03c9\u03c1\u03b9\u03bd\u03ad\u03c2 \u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03bf California Institute of Technology, \u03c3\u03c4\u03bf CERN \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u0399\u03bd\u03c3\u03c4\u03b9\u03c4\u03bf\u03cd\u03c4\u03bf Max Planck \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03a6\u03c5\u03c3\u03b9\u03ba\u03ae, \u03bf \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03cd\u03bb\u03bf\u03c5 \u03ad\u03b3\u03b9\u03bd\u03b5 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u03c4\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03ce\u03c4\u03b1 \u03c3\u03c4\u03bf \u03c0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u03c4\u03bf\u03c5 Syracuse \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03c3\u03c4\u03bf \u0399\u03bd\u03c3\u03c4\u03b9\u03c4\u03bf\u03cd\u03c4\u03bf Courant \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf Princeton, \u03c0\u03c1\u03b9\u03bd \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03ce\u03c3\u03b5\u03b9 \u03c4\u03b7 \u03c3\u03c4\u03b1\u03b4\u03b9\u03bf\u03b4\u03c1\u03bf\u03bc\u03af\u03b1 \u03c4\u03bf\u03c5 \u03c9\u03c2 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u03c4\u03c9\u03bd \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03a6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c4\u03bf ETH \u0396\u03c5\u03c1\u03af\u03c7\u03b7\u03c2, \u03c3\u03c4\u03b7\u03bd \u0395\u03bb\u03b2\u03b5\u03c4\u03af\u03b1. \u039f \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03cd\u03bb\u03bf\u03c5 \u03c4\u03b9\u03bc\u03ae\u03b8\u03b7\u03ba\u03b5 \u03bc\u03b5 \u03c4\u03bf \u0392\u03c1\u03b1\u03b2\u03b5\u03af\u03bf Bocher \u03c4\u03b7\u03c2 \u0391\u03bc\u03b5\u03c1\u03b9\u03ba\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae\u03c2 \u0395\u03c4\u03b1\u03b9\u03c1\u03b5\u03af\u03b1\u03c2, \u03bc\u03b5 \u03c4\u03bf \u0392\u03c1\u03b1\u03b2\u03b5\u03af\u03bf Tomalla \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b1\u03c1\u03cd\u03c4\u03b7\u03c4\u03b1, \u03b5\u03bd\u03ce \u03c4\u03bf 2011, \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c4\u03bf\u03bd Richard S. Hamilton, \u03b1\u03c0\u03ad\u03c3\u03c0\u03b1\u03c3\u03b1\u03bd \u03c4\u03bf \u0392\u03c1\u03b1\u03b2\u03b5\u03af\u03bf Shaw \u03c3\u03c4\u03b9\u03c2 \u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u0395\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b5\u03c2. \u039f \u0394\u03b7\u03bc\u03ae\u03c4\u03c1\u03b9\u03bf\u03c2 \u03a7\u03c1\u03b9\u03c3\u03c4\u03bf\u03b4\u03bf\u03cd\u03bb\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03ad\u03bb\u03bf\u03c2 \u03c4\u03b7\u03c2 \u0391\u03bc\u03b5\u03c1\u03b9\u03ba\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03af\u03b1\u03c2 \u03a4\u03b5\u03c7\u03bd\u03ce\u03bd \u03ba\u03b1\u03b9 \u0395\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u0391\u03bc\u03b5\u03c1\u03b9\u03ba\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u0395\u03b8\u03bd\u03b9\u03ba\u03ae\u03c2 \u0391\u03ba\u03b1\u03b4\u03b7\u03bc\u03af\u03b1\u03c2 \u0395\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03ce\u03bd.<\/span><\/p>\n<p><span style=\"font-size: 11pt;\"><span style=\"color: #0000ff;\"><sup>(2)\u00a0 <\/sup><\/span>\u039f \u03a3\u03c4\u03b1\u03cd\u03c1\u03bf\u03c2 \u03a0\u03b1\u03c0\u03b1\u03c3\u03c4\u03b1\u03c5\u03c1\u03af\u03b4\u03b7\u03c2, \u039f\u03bc\u03cc\u03c4\u03b9\u03bc\u03bf\u03c2 \u039a\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u039c\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 \u0391\u03b8\u03b7\u03bd\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b4\u03ac\u03ba\u03c4\u03c9\u03c1 \u03c4\u03bf\u03c5 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5 Princeton, \u03ad\u03c7\u03b5\u03b9 \u03b4\u03b9\u03b4\u03ac\u03be\u03b5\u03b9 \u03c3\u03c4\u03b1 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03b1 \u03a0\u03b1\u03c4\u03c1\u03ce\u03bd, \u039a\u03c1\u03ae\u03c4\u03b7\u03c2 \u03ba\u03b1\u03b9 Brandeis, \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf Georgia Institute of Technology. \u0388\u03c7\u03b5\u03b9 \u03b1\u03ba\u03cc\u03bc\u03b7 \u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03b5\u03af \u03c3\u03c4\u03b1 \u0395\u03c1\u03b3\u03b1\u03c3\u03c4\u03ae\u03c1\u03b9\u03b1 Bell. \u0394\u03b9\u03b5\u03c4\u03ad\u03bb\u03b5\u03c3\u03b5 \u03ba\u03b1\u03b8\u03b7\u03b3\u03b7\u03c4\u03ae\u03c2 \u03c4\u03bf\u03c5 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5 \u03a0\u03b1\u03c4\u03c1\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03a0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03af\u03bf\u03c5 \u0391\u03b8\u03b7\u03bd\u03ce\u03bd \u03ba\u03b1\u03b9 \u03ba\u03b1\u03c4\u03b5\u03af\u03c7\u03b5 \u03ba\u03b1\u03c4\u03ac \u03ba\u03b1\u03b9\u03c1\u03bf\u03cd\u03c2 \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c3\u03b5 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