{"id":50167,"date":"2024-01-20T10:38:27","date_gmt":"2024-01-20T13:38:27","guid":{"rendered":"https:\/\/mindthegraph.com\/blog\/automated-content-analysis-copy\/"},"modified":"2024-01-18T10:46:09","modified_gmt":"2024-01-18T13:46:09","slug":"computational-methods","status":"publish","type":"post","link":"https:\/\/mindthegraph.com\/blog\/el\/computational-methods\/","title":{"rendered":"\u0391\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03c4\u03b5 \u03c4\u03bf \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03cc \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd"},"content":{"rendered":"<p>\u03a3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03c1\u03b9\u03bd\u03cc \u03c1\u03b1\u03b3\u03b4\u03b1\u03af\u03b1 \u03b5\u03be\u03b5\u03bb\u03b9\u03c3\u03c3\u03cc\u03bc\u03b5\u03bd\u03bf 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\u03c0\u03c1\u03bf\u03ce\u03b8\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03be\u03b5\u03bb\u03af\u03be\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03ce\u03b8\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03bd\u03b8\u03c1\u03c9\u03c0\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03ad\u03bd\u03b1 \u03bc\u03ad\u03bb\u03bb\u03bf\u03bd \u03b1\u03c0\u03b5\u03c1\u03b9\u03cc\u03c1\u03b9\u03c3\u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03b1\u03c4\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd.<\/p>\n\n\n\n<h2 id=\"h-definition-of-computational-methods\">\u039f\u03c1\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd<\/h2>\n\n\n\n<p>\u039f\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03b5\u03c5\u03c1\u03cd 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\u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b1, \u03c0\u03b9\u03bf \u03b4\u03b9\u03b1\u03c7\u03b5\u03b9\u03c1\u03af\u03c3\u03b9\u03bc\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1, \u03bf\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b5\u03c1\u03af\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03ae\u03c4\u03b1\u03bd \u03c0\u03c1\u03b1\u03ba\u03c4\u03b9\u03ba\u03ac \u03b1\u03b4\u03cd\u03bd\u03b1\u03c4\u03bf \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03c5\u03b8\u03bf\u03cd\u03bd \u03bc\u03b5 \u03c4\u03bf \u03c7\u03ad\u03c1\u03b9.<\/p>\n\n\n\n<p>\u03a3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc \u03ac\u03c1\u03b8\u03c1\u03bf: <a href=\"https:\/\/mindthegraph.com\/blog\/ai-in-academic-research\/\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>\u0394\u03b9\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c1\u03cc\u03bb\u03bf\u03c5 \u03c4\u03b7\u03c2 \u03a4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae\u03c2 \u039d\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b1\u03ba\u03b1\u03b4\u03b7\u03bc\u03b1\u03ca\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1<\/strong><\/a><\/p>\n\n\n\n<p>\u0395\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd, \u03bf\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03bf\u03c5\u03bd \u03b5\u03c5\u03b5\u03bb\u03b9\u03be\u03af\u03b1 \u03cc\u03c3\u03bf\u03bd \u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03bf\u03bd \u03c7\u03b5\u03b9\u03c1\u03b9\u03c3\u03bc\u03cc \u03c4\u03c9\u03bd \u03b1\u03b2\u03b5\u03b2\u03b1\u03b9\u03bf\u03c4\u03ae\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03bd\u03c3\u03c9\u03bc\u03ac\u03c4\u03c9\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03cc\u03c3\u03bc\u03bf\u03c5. \u039c\u03ad\u03c3\u03c9 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b1\u03c6\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b7 \u03c3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03bf\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03b5\u03bd\u03c3\u03c9\u03bc\u03b1\u03c4\u03ce\u03c3\u03bf\u03c5\u03bd \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03c1\u03ae\u03c3\u03b5\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1, \u03b5\u03bd\u03b9\u03c3\u03c7\u03cd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1 \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03b1\u03bd\u03b1\u03bb\u03cd\u03c3\u03b5\u03c9\u03bd.<\/p>\n\n\n\n<h3 id=\"h-types-of-computational-methods\">\u03a4\u03cd\u03c0\u03bf\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd<\/h3>\n\n\n\n<ol>\n<li>\u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9: \u038c\u03c0\u03c9\u03c2 \u03b7 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c1\u03b9\u03b6\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd, \u03b7 \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ae \u03b7 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7.<\/li>\n\n\n\n<li>\u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2: \u039f\u03b9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03b1\u03c0\u03bf\u03c3\u03ba\u03bf\u03c0\u03bf\u03cd\u03bd \u03c3\u03c4\u03b7\u03bd \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03b7\u03c2 \u03bb\u03cd\u03c3\u03b7\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03b5\u03bd\u03cc\u03c2 \u03c3\u03c5\u03bd\u03cc\u03bb\u03bf\u03c5 \u03b5\u03c6\u03b9\u03ba\u03c4\u03ce\u03bd \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ce\u03bd \u03bc\u03b5 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03b9\u03bc\u03b5\u03bd\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03bd\u03b1\u03c1\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd.<\/li>\n\n\n\n<li>\u03a3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9: \u03a3\u03c4\u03b1\u03c4\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd, \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03af\u03bc\u03b7\u03c3\u03b7 \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03b5\u03c9\u03bd \u03ae \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5\u03bd\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1.<\/li>\n\n\n\n<li>\u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2: \u039f\u03b9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03af\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03c9\u03bd \u03c3\u03b5 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae \u03c0\u03bf\u03c5 \u03bc\u03b9\u03bc\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ae \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b5\u03c2 \u03c4\u03bf\u03c5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd \u03ba\u03cc\u03c3\u03bc\u03bf\u03c5 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5\u03c2, \u03c4\u03b7\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c8\u03b5\u03c9\u03bd \u03ae \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03ac\u03c4\u03c9\u03bd \u03c3\u03b5 \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03cc \u03c0\u03b5\u03c1\u03b9\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd.<\/li>\n\n\n\n<li>\u039c\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b7\u03c4\u03ae \u03bd\u03bf\u03b7\u03bc\u03bf\u03c3\u03cd\u03bd\u03b7: \u0391\u03c5\u03c4\u03ad\u03c2 \u03bf\u03b9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03bc\u03b1\u03b8\u03b1\u03af\u03bd\u03bf\u03c5\u03bd \u03b1\u03c0\u03cc \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1, \u03bd\u03b1 \u03b1\u03bd\u03b1\u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03ad\u03be\u03c5\u03c0\u03bd\u03b5\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03b9\u03c2 \u03c7\u03c9\u03c1\u03af\u03c2 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c1\u03b7\u03c4\u03ac \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9.<\/li>\n<\/ol>\n\n\n\n<h3 id=\"h-advantages-and-disadvantages-of-computational-methods\">\u03a0\u03bb\u03b5\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b9\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd<\/h3>\n\n\n\n<p>\u03a0\u03bb\u03b5\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n\n\n\n<ul>\n<li>\u0399\u03ba\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b4\u03c5\u03c3\u03b5\u03c0\u03af\u03bb\u03c5\u03c4\u03b1 \u03b1\u03bd\u03b1\u03bb\u03c5\u03c4\u03b9\u03ba\u03ac.<\/li>\n\n\n\n<li>\u0391\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b5\u03c1\u03bf\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\u03c2 \u03c3\u03b5 \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7 \u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c7\u03b5\u03b9\u03c1\u03bf\u03ba\u03af\u03bd\u03b7\u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2.<\/li>\n\n\n\n<li>\u0395\u03c5\u03b5\u03bb\u03b9\u03be\u03af\u03b1 \u03c3\u03c4\u03b7 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c6\u03b1\u03b9\u03bd\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/li>\n\n\n\n<li>\u0395\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd \u03c3\u03c5\u03bd\u03cc\u03bb\u03c9\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03c3\u03b7\u03bc\u03b1\u03bd\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03b9\u03ce\u03bd.<\/li>\n\n\n\n<li>\u0394\u03b9\u03b5\u03c5\u03ba\u03bf\u03bb\u03cd\u03bd\u03b5\u03b9 \u03c4\u03b9\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b5\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bb\u03ae\u03c8\u03b7\u03c2 \u03b1\u03c0\u03bf\u03c6\u03ac\u03c3\u03b5\u03c9\u03bd.<\/li>\n<\/ul>\n\n\n\n<p>\u039c\u03b5\u03b9\u03bf\u03bd\u03b5\u03ba\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1:<\/p>\n\n\n\n<ul>\n<li>\u0395\u03be\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03cc\u03c1\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b5\u03c1\u03b3\u03b1\u03bb\u03b5\u03af\u03b1 \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03b9\u03ba\u03bf\u03cd.<\/li>\n\n\n\n<li>\u03a0\u03b9\u03b8\u03b1\u03bd\u03cc\u03c4\u03b7\u03c4\u03b1 \u03c3\u03c6\u03b1\u03bb\u03bc\u03ac\u03c4\u03c9\u03bd \u03c3\u03c4\u03bf\u03bd \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc \u03ae \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae.<\/li>\n\n\n\n<li>\u0394\u03c5\u03c3\u03ba\u03bf\u03bb\u03af\u03b1 \u03c3\u03c4\u03b7\u03bd \u03b5\u03c1\u03bc\u03b7\u03bd\u03b5\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03ba\u03cd\u03c1\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd \u03c7\u03c9\u03c1\u03af\u03c2 \u03c4\u03b9\u03c2 \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03b5\u03c2 \u03b3\u03bd\u03ce\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03bc\u03c0\u03b5\u03b9\u03c1\u03af\u03b1.<\/li>\n\n\n\n<li>\u03a0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03b7 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03bb\u03cc\u03b3\u03c9 \u03c4\u03c9\u03bd \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03b5\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2.<\/li>\n\n\n\n<li>\u03a5\u03c8\u03b7\u03bb\u03cc \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03cc\u03c3\u03bf\u03bd \u03b1\u03c6\u03bf\u03c1\u03ac \u03c4\u03bf \u03c5\u03bb\u03b9\u03ba\u03cc, \u03c4\u03bf \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03b9\u03ba\u03cc \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03cc\u03c1\u03bf\u03c5\u03c2.<\/li>\n<\/ul>\n\n\n\n<h2 id=\"h-linear-algebra-and-numerical-methods\">\u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03ba\u03b1\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9<\/h2>\n\n\n\n<p>\u0397 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03ba\u03bb\u03ac\u03b4\u03bf\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03bc\u03b5\u03bb\u03ad\u03c4\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd, \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c7\u03ce\u03c1\u03c9\u03bd, \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd. \u03a4\u03b1 \u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bf\u03bd\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03b9\u03c3\u03c4\u03bf\u03cd\u03bd \u03c4\u03cc\u03c3\u03bf \u03c4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03cc\u03c3\u03bf \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b5\u03cd\u03b8\u03c5\u03bd\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03b1\u03c6\u03ae \u03bc\u03b5\u03b3\u03b5\u03b8\u03ce\u03bd \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03c4\u03b1\u03c7\u03cd\u03c4\u03b7\u03c4\u03b1, \u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03b8\u03ad\u03c3\u03b7. \u039f\u03b9 \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03c7\u03ce\u03c1\u03bf\u03b9, \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ac\u03bb\u03bb\u03b7 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac, \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b1\u03b6\u03af \u03bc\u03b5 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03bf \u03ba\u03bb\u03b9\u03bc\u03b1\u03ba\u03c9\u03c4\u03cc\u03c2 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2.<\/p>\n\n\n\n<p>\u039f\u03b9 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03bf\u03af \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03af \u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bd \u03c4\u03b7 \u03b4\u03bf\u03bc\u03ae \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c7\u03ce\u03c1\u03c9\u03bd. \u0391\u03c5\u03c4\u03bf\u03af \u03bf\u03b9 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03af \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c0\u03b5\u03c1\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ad\u03c2, \u03bc\u03b5\u03c4\u03b1\u03c4\u03bf\u03c0\u03af\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03ba\u03bb\u03b9\u03bc\u03ac\u03ba\u03c9\u03c3\u03b7. \u03a0\u03b1\u03af\u03b6\u03bf\u03c5\u03bd \u03ba\u03b1\u03b8\u03bf\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03cc \u03c1\u03cc\u03bb\u03bf \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03c4\u03b1 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03af\u03bc\u03b5\u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03b6\u03bf\u03c5\u03bd \u03cc\u03c4\u03b1\u03bd \u03c5\u03c0\u03bf\u03b2\u03ac\u03bb\u03bb\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03bf\u03c5\u03c2 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2.<\/p>\n\n\n\n<p>\u0395\u03c0\u03b9\u03c0\u03bb\u03ad\u03bf\u03bd, \u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03b4\u03b9\u03b5\u03c1\u03b5\u03c5\u03bd\u03ac \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c7\u03ad\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b5\u03c4\u03b1\u03be\u03cd \u03bc\u03b5\u03c4\u03b1\u03b2\u03bb\u03b7\u03c4\u03ce\u03bd. \u0397 \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03b7 \u03c3\u03b5 \u03c0\u03bf\u03bb\u03bb\u03ad\u03c2 \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03ad\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03c5\u03ba\u03bb\u03c9\u03bc\u03ac\u03c4\u03c9\u03bd, \u03c4\u03b1 \u03c0\u03c1\u03bf\u03b2\u03bb\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>\n\n\n\n<h3 id=\"h-linear-algebraic-techniques\">\u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ad\u03c2 \u03b1\u03bb\u03b3\u03b5\u03b2\u03c1\u03b9\u03ba\u03ad\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2<\/h3>\n\n\n\n<ul>\n<li>\u039b\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b5\u03c2 \u03bc\u03ae\u03c4\u03c1\u03b1\u03c2: \u0397 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03c0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03c0\u03c1\u03ac\u03be\u03b5\u03b9\u03c2 \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7, \u03b1\u03c6\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc. \u0397 \u03c0\u03c1\u03cc\u03c3\u03b8\u03b5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03c6\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03c4\u03bf\u03bd \u03c3\u03c5\u03bd\u03b4\u03c5\u03b1\u03c3\u03bc\u03cc \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c8\u03b5\u03b9 \u03ad\u03bd\u03b1\u03c2 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03c9\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1\u03c2. \u039f \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2 \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03ce\u03bd, \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03ac\u03bb\u03bb\u03c9\u03bd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03ac\u03be\u03b5\u03c9\u03bd. \u0397 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03c1\u03bf\u03c6\u03ae \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03c1\u03bf\u03c6\u03bf\u03c5 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1, \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b6\u03c9\u03c4\u03b9\u03ba\u03ae\u03c2 \u03c3\u03b7\u03bc\u03b1\u03c3\u03af\u03b1\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03ad\u03bb\u03b5\u03c3\u03b7 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03ce\u03bd.<\/li>\n\n\n\n<li>\u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03af \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ce\u03bd \u03ba\u03b1\u03b9 \u03b9\u03b4\u03b9\u03bf\u03b4\u03b9\u03b1\u03bd\u03c5\u03c3\u03bc\u03ac\u03c4\u03c9\u03bd: \u039f\u03b9 \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03b9\u03b4\u03b9\u03bf\u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03b9\u03c2 \u03ad\u03bd\u03bd\u03bf\u03b9\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2. \u039f\u03b9 \u03b9\u03b4\u03b9\u03bf\u03c4\u03b9\u03bc\u03ad\u03c2 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03ba\u03bb\u03b9\u03bc\u03b1\u03ba\u03c9\u03c4\u03ad\u03c2 \u03c4\u03b9\u03bc\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b5\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1, \u03b5\u03bd\u03ce \u03c4\u03b1 \u03b9\u03b4\u03b9\u03bf\u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b1\u03bd\u03c4\u03b9\u03c0\u03c1\u03bf\u03c3\u03c9\u03c0\u03b5\u03cd\u03bf\u03c5\u03bd \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1 \u03bc\u03b7 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ac \u03b4\u03b9\u03b1\u03bd\u03cd\u03c3\u03bc\u03b1\u03c4\u03b1. \u039f \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03cc\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\u03af\u03bd\u03b1\u03b9 \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b5\u03c5\u03c3\u03c4\u03ac\u03b8\u03b5\u03b9\u03b1\u03c2, \u03c3\u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03c1\u03b1\u03b4\u03b1\u03c3\u03bc\u03ce\u03bd, \u03c3\u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03b1\u03bd\u03cc\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c4\u03c9\u03bd \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd.<\/li>\n\n\n\n<li><a href=\"https:\/\/en.wikipedia.org\/wiki\/Singular_value_decomposition\" target=\"_blank\" rel=\"noreferrer noopener\">\u0391\u03c0\u03bf\u03c3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03bc\u03bf\u03bd\u03b1\u03b4\u03b9\u03b1\u03af\u03b1\u03c2 \u03c4\u03b9\u03bc\u03ae\u03c2<\/a> (SVD): \u0397 SVD \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03bf\u03bb\u03cd\u03c4\u03b9\u03bc\u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae\u03c2 \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c3\u03b5 \u03c4\u03c1\u03b5\u03b9\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2 \u03c0\u03bf\u03c5 \u03c4\u03bf\u03bd \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03bf\u03cd\u03bd. \u03a0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c4\u03c1\u03cc\u03c0\u03bf \u03b1\u03bd\u03b1\u03c0\u03b1\u03c1\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7\u03c2 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c9\u03c2 \u03b3\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03bf \u03c4\u03c1\u03b9\u03ce\u03bd \u03c0\u03b9\u03bd\u03ac\u03ba\u03c9\u03bd, \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03c3\u03c4\u03ac\u03c3\u03b5\u03c9\u03bd, \u03c4\u03b7 \u03c3\u03c5\u03bc\u03c0\u03af\u03b5\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1\u03c2. \u0397 SVD \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03b9 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03b5 \u03c4\u03bf\u03bc\u03b5\u03af\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b5\u03c0\u03b5\u03be\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03b5\u03b9\u03ba\u03cc\u03bd\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c3\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03b1\u03b9 \u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7.<\/li>\n\n\n\n<li>\u0395\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd: \u0397 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ae \u03ac\u03bb\u03b3\u03b5\u03b2\u03c1\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c6\u03ad\u03c1\u03b5\u03b9 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd. \u0397 \u03b1\u03c0\u03b1\u03bb\u03bf\u03b9\u03c6\u03ae \u0393\u03ba\u03ac\u03bf\u03c5\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03b1\u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03b5\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03c3\u03b5 \u03bc\u03bf\u03c1\u03c6\u03ae \u03b3\u03c1\u03b1\u03bc\u03bc\u03ae\u03c2-\u03ad\u03ba\u03ba\u03bb\u03b7\u03c3\u03b7\u03c2, \u03bf\u03b4\u03b7\u03b3\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ac \u03c3\u03c4\u03b7 \u03bb\u03cd\u03c3\u03b7. \u0397 LU \u03b1\u03c0\u03bf\u03c3\u03cd\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b1\u03bd\u03b1\u03bb\u03cd\u03b5\u03b9 \u03ad\u03bd\u03b1\u03bd \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03c3\u03b5 \u03ba\u03b1\u03c4\u03ce\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03ba\u03b1\u03b9 \u03b1\u03bd\u03ce\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03c4\u03c1\u03b9\u03b3\u03c9\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c0\u03af\u03bd\u03b1\u03ba\u03b5\u03c2, \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7\u03c2. \u0395\u03c0\u03b1\u03bd\u03b1\u03bb\u03b7\u03c0\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9, \u03cc\u03c0\u03c9\u03c2 \u03bf\u03b9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf\u03b9 Jacobi \u03ae <a href=\"https:\/\/en.wikipedia.org\/wiki\/Gauss-Seidel_method\" target=\"_blank\" rel=\"noreferrer noopener\">\u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 Gauss-Seidel<\/a>, \u03c0\u03b1\u03c1\u03ad\u03c7\u03bf\u03c5\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b7\u03c0\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03b5\u03b3\u03b3\u03af\u03c3\u03b5\u03b9\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd \u03c3\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b1 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"h-numerical-integration\">\u0391\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7<\/h3>\n\n\n\n<p>\u0397 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03bf\u03c1\u03b9\u03c3\u03bc\u03ad\u03bd\u03bf\u03c5 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03ce\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2. \u03a0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b4\u03b9\u03b1\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03bf\u03bb\u03bf\u03ba\u03bb\u03ae\u03c1\u03c9\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03b1 \u03c4\u03bc\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03cd\u03c0\u03c9\u03bd \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7\u03c2, \u03cc\u03c0\u03c9\u03c2 \u03b7 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Trapezoidal_rule\" target=\"_blank\" rel=\"noreferrer noopener\">\u03c4\u03c1\u03b1\u03c0\u03b5\u03b6\u03bf\u03b5\u03b9\u03b4\u03ae\u03c2 \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1\u03c2<\/a> \u03ae \u03c4\u03bf\u03bd \u03ba\u03b1\u03bd\u03cc\u03bd\u03b1 \u03c4\u03bf\u03c5 Simpson, \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03ba\u03c4\u03af\u03bc\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b5\u03bc\u03b2\u03b1\u03b4\u03bf\u03cd \u03ba\u03ac\u03c4\u03c9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03ba\u03b1\u03bc\u03c0\u03cd\u03bb\u03b7.<\/p>\n\n\n\n<h3 id=\"h-finite-element-method-fem\">\u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd (FEM)<\/h3>\n\n\n\n<p>\u03a4\u03bf <a href=\"https:\/\/en.wikipedia.org\/wiki\/Finite_Element_Method\" target=\"_blank\" rel=\"noreferrer noopener\">\u039c\u03ad\u03b8\u03bf\u03b4\u03bf\u03c2 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd <\/a>(FEM) \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03ae \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03bc\u03b5\u03c1\u03b9\u03ba\u03ce\u03bd \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03b4\u03bf\u03bc\u03ce\u03bd \u03ae \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd. \u03a0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c4\u03bf\u03bc\u03ad\u03b1 \u03c3\u03b5 \u03bc\u03b9\u03ba\u03c1\u03cc\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03c5\u03c0\u03bf\u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ad\u03c2 \u03c0\u03bf\u03c5 \u03bf\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03ad\u03b3\u03b3\u03b9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac\u03c2 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03b5\u03bd\u03c4\u03cc\u03c2 \u03ba\u03ac\u03b8\u03b5 \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03bf\u03c5. \u0397 FEM \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c3\u03c4\u03b7 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7, \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac\u03c2 \u03b8\u03b5\u03c1\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2, \u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03c1\u03b5\u03c5\u03c3\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03bc\u03b5\u03af\u03c2 \u03c4\u03b7\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2.<\/p>\n\n\n\n<h3 id=\"h-optimization-techniques-linear-programming-and-genetic-algorithms\">\u03a4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 - \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9<\/h3>\n\n\n\n<p>\u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2: \u0393\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2: \u039f \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c0\u03c1\u03bf\u03b3\u03c1\u03b1\u03bc\u03bc\u03b1\u03c4\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ae \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03bb\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03bf\u03c2 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03bf, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c5\u03c0\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03bf \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ce\u03bd. \u03a0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c4\u03cd\u03c0\u03c9\u03c3\u03b7 \u03bc\u03b9\u03b1\u03c2 \u03b1\u03bd\u03c4\u03b9\u03ba\u03b5\u03b9\u03bc\u03b5\u03bd\u03b9\u03ba\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03c9\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03ce\u03bd \u03c9\u03c2 \u03ad\u03bd\u03b1 \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03ce\u03bd \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ae \u03b1\u03bd\u03b9\u03c3\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03c3\u03c5\u03bd\u03ad\u03c7\u03b5\u03b9\u03b1 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b2\u03ad\u03bb\u03c4\u03b9\u03c3\u03c4\u03b7\u03c2 \u03bb\u03cd\u03c3\u03b7\u03c2.<\/p>\n\n\n\n<p>\u039f\u03b9 \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bb\u03b3\u03cc\u03c1\u03b9\u03b8\u03bc\u03bf\u03b9 \u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03b5\u03bc\u03c0\u03bd\u03b5\u03c5\u03c3\u03bc\u03ad\u03bd\u03bf\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c4\u03b7\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae\u03c2 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03ae\u03c2. \u03a0\u03b5\u03c1\u03b9\u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03b5\u03bd\u03cc\u03c2 \u03c0\u03bb\u03b7\u03b8\u03c5\u03c3\u03bc\u03bf\u03cd \u03c0\u03b9\u03b8\u03b1\u03bd\u03ce\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd, \u03c4\u03b7\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ae \u03b3\u03b5\u03bd\u03b5\u03c4\u03b9\u03ba\u03ce\u03bd \u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ce\u03bd \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b5\u03c0\u03b9\u03bb\u03bf\u03b3\u03ae, \u03b7 \u03b4\u03b9\u03b1\u03c3\u03c4\u03b1\u03cd\u03c1\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03bc\u03b5\u03c4\u03ac\u03bb\u03bb\u03b1\u03be\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b1\u03bd\u03b1\u03bb\u03b7\u03c0\u03c4\u03b9\u03ba\u03ae \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03c4\u03ac \u03c4\u03b7 \u03b4\u03b9\u03ac\u03c1\u03ba\u03b5\u03b9\u03b1 \u03c4\u03c9\u03bd \u03b3\u03b5\u03bd\u03b5\u03ce\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03cd\u03c1\u03b5\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b2\u03ad\u03bb\u03c4\u03b9\u03c3\u03c4\u03b7\u03c2 \u03ae \u03c3\u03c7\u03b5\u03b4\u03cc\u03bd \u03b2\u03ad\u03bb\u03c4\u03b9\u03c3\u03c4\u03b7\u03c2 \u03bb\u03cd\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1.<\/p>\n\n\n\n<h2 id=\"h-applications-in-mechanical-engineering\">\u0395\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2 \u03c3\u03c4\u03b7 \u039c\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1<\/h2>\n\n\n\n<p>\u0397 \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bc\u03b5\u03b8\u03cc\u03b4\u03bf\u03c5\u03c2 \u03c3\u03b5 \u03b4\u03b9\u03ac\u03c6\u03bf\u03c1\u03b5\u03c2 \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ad\u03c2, \u03cc\u03c0\u03c9\u03c2:<\/p>\n\n\n\n<h3 id=\"h-structural-analysis-with-fem\">\u0394\u03bf\u03bc\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03bc\u03b5 FEM<\/h3>\n\n\n\n<ul>\n<li>\u0397 FEM \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03c9\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd, \u03cc\u03c0\u03c9\u03c2 \u03ba\u03c4\u03af\u03c1\u03b9\u03b1, \u03b3\u03ad\u03c6\u03c5\u03c1\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03ce\u03bd.<\/li>\n\n\n\n<li>\u03a0\u03c1\u03bf\u03b2\u03bb\u03ad\u03c0\u03b5\u03b9 \u03bc\u03b5 \u03b1\u03ba\u03c1\u03af\u03b2\u03b5\u03b9\u03b1 \u03c4\u03b9\u03c2 \u03ba\u03b1\u03c4\u03b1\u03bd\u03bf\u03bc\u03ad\u03c2 \u03c4\u03ac\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c0\u03b1\u03c1\u03b1\u03bc\u03bf\u03c1\u03c6\u03ce\u03c3\u03b5\u03c9\u03bd, \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5\u03c2 \u03b1\u03c3\u03c4\u03bf\u03c7\u03af\u03b1\u03c2 \u03c5\u03c0\u03cc \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03c6\u03cc\u03c1\u03c4\u03b9\u03c3\u03b7\u03c2.<\/li>\n\n\n\n<li>\u0397 FEM \u03bb\u03b1\u03bc\u03b2\u03ac\u03bd\u03b5\u03b9 \u03c5\u03c0\u03cc\u03c8\u03b7 \u03c4\u03b9\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c5\u03bb\u03b9\u03ba\u03ce\u03bd, \u03c4\u03b7 \u03b3\u03b5\u03c9\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03bc\u03b7 \u03b3\u03c1\u03b1\u03bc\u03bc\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03bf\u03c1\u03b9\u03b1\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03b1\u03ba\u03c1\u03b9\u03b2\u03ae \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03ad\u03c3\u03bc\u03b1\u03c4\u03b1 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2.<\/li>\n\n\n\n<li>\u0392\u03bf\u03b7\u03b8\u03ac \u03c3\u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03bf\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c7\u03b5\u03b4\u03af\u03c9\u03bd \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03be\u03b9\u03bf\u03bb\u03cc\u03b3\u03b7\u03c3\u03b7 \u03b4\u03b9\u03b1\u03c6\u03cc\u03c1\u03c9\u03bd \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ce\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03ba\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b5\u03bd\u03c4\u03bf\u03c0\u03b9\u03c3\u03bc\u03cc \u03ba\u03c1\u03af\u03c3\u03b9\u03bc\u03c9\u03bd \u03c0\u03b5\u03c1\u03b9\u03bf\u03c7\u03ce\u03bd \u03b3\u03b9\u03b1 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7.<\/li>\n\n\n\n<li>\u0397 FEM \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03b5\u03af\u03c4\u03b1\u03b9 \u03b5\u03c5\u03c1\u03ad\u03c9\u03c2 \u03c3\u03b5 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03af\u03b5\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b1\u03b5\u03c1\u03bf\u03b4\u03b9\u03b1\u03c3\u03c4\u03b7\u03bc\u03b9\u03ba\u03ae, \u03b7 \u03b1\u03c5\u03c4\u03bf\u03ba\u03b9\u03bd\u03b7\u03c4\u03bf\u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03af\u03b1 \u03ba\u03b1\u03b9 \u03b7 \u03c0\u03bf\u03bb\u03b9\u03c4\u03b9\u03ba\u03ae \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae \u03b3\u03b9\u03b1 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b5\u03c0\u03b9\u03ba\u03cd\u03c1\u03c9\u03c3\u03b7 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"h-simulation-and-modeling-techniques-for-design-automation\">\u03a4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd<\/h3>\n\n\n\n<ul>\n<li>\u039f\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03bf\u03cd\u03bd \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03ac \u03c0\u03c1\u03c9\u03c4\u03cc\u03c4\u03c5\u03c0\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03b1\u03be\u03b9\u03bf\u03bb\u03bf\u03b3\u03bf\u03cd\u03bd \u03c4\u03b7\u03bd \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac \u03c0\u03c1\u03b9\u03bd \u03b1\u03c0\u03cc \u03c4\u03b7 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ae \u03c0\u03c1\u03c9\u03c4\u03bf\u03c4\u03c5\u03c0\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7.<\/li>\n\n\n\n<li>\u039f\u03b9 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03b2\u03bf\u03b7\u03b8\u03bf\u03cd\u03bd \u03c3\u03c4\u03b7 \u03b4\u03b9\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03b5\u03bd\u03b1\u03bb\u03bb\u03b1\u03ba\u03c4\u03b9\u03ba\u03ce\u03bd \u03bb\u03cd\u03c3\u03b5\u03c9\u03bd \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd, \u03c3\u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf\u03bd \u03b5\u03bd\u03c4\u03bf\u03c0\u03b9\u03c3\u03bc\u03cc \u03c0\u03b9\u03b8\u03b1\u03bd\u03ce\u03bd \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03ae \u03b2\u03b5\u03bb\u03c4\u03b9\u03ce\u03c3\u03b5\u03c9\u03bd \u03c3\u03b5 \u03c0\u03c1\u03ce\u03b9\u03bc\u03bf \u03c3\u03c4\u03ac\u03b4\u03b9\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd.<\/li>\n\n\n\n<li>\u03a4\u03b1 \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03b1 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bd \u03bd\u03b1 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03b9\u03ce\u03c3\u03bf\u03c5\u03bd \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03b8\u03ae\u03ba\u03b5\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c0\u03b1\u03c1\u03ad\u03c7\u03bf\u03c5\u03bd \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2, \u03c4\u03b9\u03c2 \u03c4\u03ac\u03c3\u03b5\u03b9\u03c2, \u03c4\u03b1 \u03bc\u03bf\u03c4\u03af\u03b2\u03b1 \u03c1\u03bf\u03ae\u03c2 \u03c1\u03b5\u03c5\u03c3\u03c4\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03bc\u03b5\u03c4\u03b1\u03c6\u03bf\u03c1\u03ac \u03b8\u03b5\u03c1\u03bc\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/li>\n\n\n\n<li>\u0397 \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03bc\u03b5 \u03c4\u03b7 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ce\u03bd \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03bc\u03b5\u03b9\u03ce\u03bd\u03b5\u03b9 \u03c4\u03bf \u03c7\u03c1\u03cc\u03bd\u03bf \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7\u03c2, \u03c4\u03bf \u03ba\u03cc\u03c3\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03b3\u03ba\u03b7 \u03b3\u03b9\u03b1 \u03c6\u03c5\u03c3\u03b9\u03ba\u03ac \u03c0\u03c1\u03c9\u03c4\u03cc\u03c4\u03c5\u03c0\u03b1.<\/li>\n\n\n\n<li>\u039f\u03b9 \u03b5\u03b9\u03ba\u03bf\u03bd\u03b9\u03ba\u03ad\u03c2 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03b7 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03bc\u03ad\u03c3\u03c9 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7\u03c2 \u03c3\u03c5\u03bc\u03b2\u03ac\u03bb\u03bb\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c6\u03ac\u03bb\u03b9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03c3\u03c6\u03ac\u03bb\u03b5\u03b9\u03b1\u03c2, \u03c4\u03b7\u03c2 \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03ce\u03bd \u03c3\u03c7\u03b5\u03b4\u03af\u03c9\u03bd.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"h-minimum-grade-requirements-for-design-quality-assurance\">\u0395\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03b5\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03c3\u03c6\u03ac\u03bb\u03b9\u03c3\u03b7 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd<\/h3>\n\n\n\n<ul>\n<li>\u0397 \u03b4\u03b9\u03b1\u03c3\u03c6\u03ac\u03bb\u03b9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03c4\u03bf\u03c5 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03bf\u03cd \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03c4\u03b7\u03bd \u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03c9\u03bd \u03b1\u03c0\u03b1\u03b9\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c3\u03c6\u03ac\u03bb\u03b9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03be\u03b9\u03bf\u03c0\u03b9\u03c3\u03c4\u03af\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03c2 \u03b1\u03c3\u03c6\u03ac\u03bb\u03b5\u03b9\u03b1\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03b9\u03ba\u03ce\u03bd \u03c3\u03c7\u03b5\u03b4\u03af\u03c9\u03bd.<\/li>\n\n\n\n<li>\u039f\u03b9 \u03b1\u03c0\u03b1\u03b9\u03c4\u03ae\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c5\u03c4\u03ad\u03c2 \u03ba\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03c4\u03b9\u03c2 \u03b1\u03c0\u03bf\u03b4\u03b5\u03ba\u03c4\u03ad\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03c9\u03bd \u03c5\u03bb\u03b9\u03ba\u03ce\u03bd, \u03c4\u03bf\u03c5\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2 \u03b1\u03c3\u03c6\u03b1\u03bb\u03b5\u03af\u03b1\u03c2, \u03c4\u03b9\u03c2 \u03b1\u03bd\u03bf\u03c7\u03ad\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03ba\u03c1\u03b9\u03c4\u03ae\u03c1\u03b9\u03b1 \u03b5\u03c0\u03b9\u03b4\u03cc\u03c3\u03b5\u03c9\u03bd \u03b3\u03b9\u03b1 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ac \u03b5\u03be\u03b1\u03c1\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1.<\/li>\n\n\n\n<li>\u039f\u03b9 \u03b5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03b5\u03c2 \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03b5\u03be\u03b1\u03c3\u03c6\u03b1\u03bb\u03af\u03b6\u03bf\u03c5\u03bd \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03c5\u03bb\u03b9\u03ba\u03ac \u03c0\u03bf\u03c5 \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ad\u03c2 \u03ae \u03c3\u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03ae \u03b4\u03b9\u03b1\u03b8\u03ad\u03c4\u03bf\u03c5\u03bd \u03c4\u03b7\u03bd \u03b1\u03c0\u03b1\u03c1\u03b1\u03af\u03c4\u03b7\u03c4\u03b7 \u03b1\u03bd\u03c4\u03bf\u03c7\u03ae, \u03b1\u03bd\u03b8\u03b5\u03ba\u03c4\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03b5\u03c2 \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bc\u03b5\u03bd\u03b5\u03c2 \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2.<\/li>\n\n\n\n<li>\u039a\u03b1\u03b8\u03bf\u03c1\u03af\u03b6\u03bf\u03c5\u03bd \u03b1\u03c0\u03bf\u03b4\u03b5\u03ba\u03c4\u03ac \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03bc\u03cc\u03c1\u03c6\u03c9\u03c3\u03b7\u03c2, \u03c4\u03ac\u03c3\u03b5\u03c9\u03bd, \u03c0\u03b1\u03c1\u03b1\u03bc\u03bf\u03c1\u03c6\u03ce\u03c3\u03b5\u03c9\u03bd \u03ba\u03b1\u03b9 \u03ac\u03bb\u03bb\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03b5\u03c0\u03b9\u03b4\u03cc\u03c3\u03b5\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03c3\u03c6\u03ac\u03bb\u03b9\u03c3\u03b7 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b1\u03ba\u03b5\u03c1\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/li>\n\n\n\n<li>\u0397 \u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03bb\u03ac\u03c7\u03b9\u03c3\u03c4\u03c9\u03bd \u03b1\u03c0\u03b1\u03b9\u03c4\u03ae\u03c3\u03b5\u03c9\u03bd \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03b2\u03bf\u03b7\u03b8\u03ac \u03bd\u03b1 \u03b5\u03be\u03b1\u03c3\u03c6\u03b1\u03bb\u03b9\u03c3\u03c4\u03b5\u03af \u03cc\u03c4\u03b9 \u03c4\u03b1 \u03c3\u03c7\u03ad\u03b4\u03b9\u03b1 \u03c3\u03c5\u03bc\u03bc\u03bf\u03c1\u03c6\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03c4\u03b1 \u03b2\u03b9\u03bf\u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ac \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03b1, \u03c4\u03bf\u03c5\u03c2 \u03ba\u03ce\u03b4\u03b9\u03ba\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03ba\u03b1\u03bd\u03bf\u03bd\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2.<\/li>\n<\/ul>\n\n\n\n<h3 id=\"h-computer-based-research-and-simulation-in-mechanical-engineering\">\u0388\u03c1\u03b5\u03c5\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03bc\u03ad\u03c3\u03c9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae \u03c3\u03c4\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1<\/h3>\n\n\n\n<ul>\n<li>\u0397 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1 \u03bc\u03ad\u03c3\u03c9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03b5\u03b9 \u03c3\u03c4\u03bf\u03c5\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03bf\u03cd\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03b5\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03bd\u03b1 \u03b4\u03b9\u03b5\u03c1\u03b5\u03c5\u03bd\u03bf\u03cd\u03bd \u03c0\u03bf\u03bb\u03cd\u03c0\u03bb\u03bf\u03ba\u03b1 \u03c6\u03b1\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b1, \u03bd\u03b1 \u03b1\u03bd\u03b1\u03bb\u03cd\u03bf\u03c5\u03bd \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03b1 \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b1\u03bd\u03b1\u03c0\u03c4\u03cd\u03c3\u03c3\u03bf\u03c5\u03bd \u03ba\u03b1\u03b9\u03bd\u03bf\u03c4\u03cc\u03bc\u03b5\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2.<\/li>\n\n\n\n<li>\u039f\u03b9 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03b9\u03ce\u03c3\u03b5\u03b9\u03c2 \u03c3\u03c4\u03bf\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03c5\u03bd \u03c4\u03b7 \u03b4\u03b9\u03b5\u03c1\u03b5\u03cd\u03bd\u03b7\u03c3\u03b7 \u03c3\u03b5\u03bd\u03b1\u03c1\u03af\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b8\u03b1 \u03ae\u03c4\u03b1\u03bd \u03b4\u03cd\u03c3\u03ba\u03bf\u03bb\u03bf \u03ae \u03b4\u03b1\u03c0\u03b1\u03bd\u03b7\u03c1\u03cc \u03bd\u03b1 \u03bc\u03b5\u03bb\u03b5\u03c4\u03b7\u03b8\u03bf\u03cd\u03bd \u03c0\u03b5\u03b9\u03c1\u03b1\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac.<\/li>\n\n\n\n<li>\u0397 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03ac \u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03c6\u03bf\u03c1\u03ac, \u03c4\u03b9\u03c2 \u03b5\u03c0\u03b9\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b5\u03c1\u03b9\u03bf\u03c1\u03b9\u03c3\u03bc\u03bf\u03cd\u03c2 \u03c4\u03c9\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ce\u03bd \u03c3\u03c5\u03c3\u03c4\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd, \u03b2\u03bf\u03b7\u03b8\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03bf\u03c2 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03c0\u03b9\u03b4\u03cc\u03c3\u03b5\u03c9\u03bd.<\/li>\n\n\n\n<li>\u0397 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1 \u03b4\u03b9\u03b5\u03c5\u03ba\u03bf\u03bb\u03cd\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd \u03b1\u03bd\u03ac\u03c0\u03c4\u03c5\u03be\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b4\u03bf\u03ba\u03b9\u03bc\u03ae \u03bd\u03ad\u03c9\u03bd \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03c9\u03bd, \u03bc\u03bf\u03bd\u03c4\u03ad\u03bb\u03c9\u03bd \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b8\u03cc\u03b4\u03c9\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2.<\/li>\n\n\n\n<li>\u0397 \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03b7 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1 \u03bc\u03b5 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03ae \u03c3\u03c5\u03bc\u03b2\u03ac\u03bb\u03bb\u03bf\u03c5\u03bd \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03cc\u03bf\u03b4\u03bf \u03c3\u03b5 \u03c4\u03bf\u03bc\u03b5\u03af\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03b7 \u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae \u03c4\u03c9\u03bd \u03c1\u03b5\u03c5\u03c3\u03c4\u03ce\u03bd, \u03b7 \u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b7 \u03c4\u03c9\u03bd \u03c5\u03bb\u03b9\u03ba\u03ce\u03bd, \u03b7 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1 \u03b5\u03bb\u03ad\u03b3\u03c7\u03bf\u03c5.<\/li>\n<\/ul>\n\n\n\n<h2 id=\"h-examples-from-eth-zurich\">\u03a0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03bf ETH Zurich<\/h2>\n\n\n\n<p><a href=\"https:\/\/en.wikipedia.org\/wiki\/ETH_Zurich\" target=\"_blank\" rel=\"noreferrer noopener\">ETH \u0396\u03c5\u03c1\u03af\u03c7\u03b7\u03c2<\/a>, \u03ad\u03bd\u03b1 \u03ba\u03bf\u03c1\u03c5\u03c6\u03b1\u03af\u03bf \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03cc \u03c0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf, \u03ad\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03bb\u03ac \u03c0\u03b1\u03c1\u03b1\u03b4\u03b5\u03af\u03b3\u03bc\u03b1\u03c4\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ce\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03bf\u03b3\u03ce\u03bd \u03c3\u03c4\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1, \u03cc\u03c0\u03c9\u03c2:<\/p>\n\n\n\n<ul>\n<li>\u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b1\u03bd\u03b5\u03bc\u03bf\u03b3\u03b5\u03bd\u03bd\u03b7\u03c4\u03c1\u03b9\u03ce\u03bd: \u0395\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03c4\u03bf\u03c5 ETH Zurich \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03c4\u03b7\u03bd \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c1\u03b5\u03c5\u03c3\u03c4\u03bf\u03b4\u03c5\u03bd\u03b1\u03bc\u03b9\u03ba\u03ae (CFD) \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03c3\u03c7\u03b5\u03b4\u03af\u03c9\u03bd \u03b1\u03bd\u03b5\u03bc\u03bf\u03b3\u03b5\u03bd\u03bd\u03b7\u03c4\u03c1\u03b9\u03ce\u03bd, \u03bc\u03b5\u03b3\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03b5\u03be\u03b1\u03b3\u03c9\u03b3\u03ae \u03b5\u03bd\u03ad\u03c1\u03b3\u03b5\u03b9\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b5\u03bb\u03b1\u03c7\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b1 \u03c6\u03b1\u03b9\u03bd\u03cc\u03bc\u03b5\u03bd\u03b1 \u03c4\u03cd\u03c1\u03b2\u03b7\u03c2.<\/li>\n\n\n\n<li>\u0395\u03bb\u03b1\u03c6\u03c1\u03cd\u03c2 \u03b4\u03bf\u03bc\u03b9\u03ba\u03cc\u03c2 \u03c3\u03c7\u03b5\u03b4\u03b9\u03b1\u03c3\u03bc\u03cc\u03c2: \u0396\u03c5\u03c1\u03af\u03c7\u03b7\u03c2. <a href=\"https:\/\/en.wikipedia.org\/wiki\/Finite_element_analysis\">\u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7 \u03c0\u03b5\u03c0\u03b5\u03c1\u03b1\u03c3\u03bc\u03ad\u03bd\u03c9\u03bd \u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af\u03c9\u03bd<\/a> (FEA) \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03b5\u03bb\u03b1\u03c6\u03c1\u03ce\u03bd \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03b1\u03b5\u03c1\u03bf\u03b4\u03b9\u03b1\u03c3\u03c4\u03b7\u03bc\u03b9\u03ba\u03ae \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae, \u03b5\u03c0\u03b9\u03c4\u03c5\u03b3\u03c7\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03b2\u03ac\u03c1\u03bf\u03c5\u03c2 \u03bc\u03b5 \u03c0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03b7 \u03b4\u03b9\u03b1\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b4\u03bf\u03bc\u03b9\u03ba\u03ae\u03c2 \u03b1\u03ba\u03b5\u03c1\u03b1\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1\u03c2.<\/li>\n\n\n\n<li>\u03a0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7 \u03ba\u03b1\u03cd\u03c3\u03b7\u03c2: ETH Zurich \u03b4\u03b9\u03b5\u03be\u03ac\u03b3\u03b5\u03b9 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03bc\u03bf\u03bd\u03c4\u03b5\u03bb\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b5\u03c1\u03b3\u03b1\u03c3\u03b9\u03ce\u03bd \u03ba\u03b1\u03cd\u03c3\u03b7\u03c2 \u03c3\u03b5 \u03ba\u03b9\u03bd\u03b7\u03c4\u03ae\u03c1\u03b5\u03c2 \u03b5\u03c3\u03c9\u03c4\u03b5\u03c1\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03cd\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03af\u03c9\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03b1\u03c0\u03cc\u03b4\u03bf\u03c3\u03b7\u03c2, \u03c4\u03b7 \u03bc\u03b5\u03af\u03c9\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b5\u03ba\u03c0\u03bf\u03bc\u03c0\u03ce\u03bd \u03ba\u03b1\u03b9 \u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03b7\u03c2 \u03c7\u03c1\u03ae\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 \u03ba\u03b1\u03c5\u03c3\u03af\u03bc\u03bf\u03c5.<\/li>\n\n\n\n<li>\u0392\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c0\u03c1\u03bf\u03c3\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae\u03c2: \u0395\u03c1\u03b5\u03c5\u03bd\u03b7\u03c4\u03ad\u03c2 \u03c3\u03c4\u03bf ETH Zurich \u03b5\u03c0\u03b9\u03ba\u03b5\u03bd\u03c4\u03c1\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7 \u03c4\u03c9\u03bd \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03b9\u03ce\u03bd \u03c0\u03c1\u03bf\u03c3\u03b8\u03b5\u03c4\u03b9\u03ba\u03ae\u03c2 \u03ba\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ae\u03c2 \u03bc\u03b5 \u03b2\u03ac\u03c3\u03b7 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03c3\u03bf\u03bc\u03bf\u03af\u03c9\u03c3\u03b7, \u03b2\u03b5\u03bb\u03c4\u03b9\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03c0\u03bf\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03b3\u03c9\u03b3\u03b9\u03ba\u03cc\u03c4\u03b7\u03c4\u03b1 \u03bc\u03ad\u03c3\u03c9 \u03c4\u03b7\u03c2 \u03b2\u03b5\u03bb\u03c4\u03b9\u03c3\u03c4\u03bf\u03c0\u03bf\u03af\u03b7\u03c3\u03b7\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bc\u03ad\u03c4\u03c1\u03c9\u03bd \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1\u03c2.<\/li>\n\n\n\n<li>\u03a0\u03c1\u03bf\u03b2\u03bb\u03b5\u03c0\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03bc\u03b5 \u03c7\u03c1\u03ae\u03c3\u03b7 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2: ETH Zurich \u03b1\u03bd\u03b1\u03c0\u03c4\u03cd\u03c3\u03c3\u03b5\u03b9 \u03b1\u03bb\u03b3\u03bf\u03c1\u03af\u03b8\u03bc\u03bf\u03c5\u03c2 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ae\u03c2 \u03bc\u03ac\u03b8\u03b7\u03c3\u03b7\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c0\u03c1\u03bf\u03b3\u03bd\u03c9\u03c3\u03c4\u03b9\u03ba\u03ae \u03c3\u03c5\u03bd\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7 \u03c3\u03b5 \u03bc\u03b7\u03c7\u03b1\u03bd\u03b9\u03ba\u03ac \u03c3\u03c5\u03c3\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1, \u03b5\u03c0\u03b9\u03c4\u03c1\u03ad\u03c0\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c3\u03c4\u03c1\u03b1\u03c4\u03b7\u03b3\u03b9\u03ba\u03ad\u03c2 \u03c3\u03c5\u03bd\u03c4\u03ae\u03c1\u03b7\u03c3\u03b7\u03c2 \u03b2\u03b1\u03c3\u03b9\u03c3\u03bc\u03ad\u03bd\u03b5\u03c2 \u03c3\u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03ac\u03c3\u03c4\u03b1\u03c3\u03b7 \u03ba\u03b1\u03b9 \u03bc\u03b5\u03b9\u03ce\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03c4\u03bf\u03bd \u03c7\u03c1\u03cc\u03bd\u03bf \u03b4\u03b9\u03b1\u03ba\u03bf\u03c0\u03ae\u03c2 \u03bb\u03b5\u03b9\u03c4\u03bf\u03c5\u03c1\u03b3\u03af\u03b1\u03c2.<\/li>\n<\/ul>\n\n\n\n<h2 id=\"h-300-pre-made-beautiful-templates-for-professional-infographics\">300+ \u03a0\u03c1\u03bf\u03b5\u03c4\u03bf\u03b9\u03bc\u03b1\u03c3\u03bc\u03ad\u03bd\u03b1 \u03cc\u03bc\u03bf\u03c1\u03c6\u03b1 \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03b1 \u03b3\u03b9\u03b1 \u03b5\u03c0\u03b1\u03b3\u03b3\u03b5\u03bb\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac Infographics<\/h2>\n\n\n\n<p>\u0391\u03bd\u03b1\u03b2\u03b1\u03b8\u03bc\u03af\u03c3\u03c4\u03b5 \u03c4\u03b7\u03bd \u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ae \u03c3\u03b1\u03c2 \u03ad\u03c1\u03b5\u03c5\u03bd\u03b1 \u03bc\u03b5 <a href=\"https:\/\/mindthegraph.com\/?utm_source=blog&amp;utm_medium=content\" target=\"_blank\" rel=\"noreferrer noopener\">Mind the Graph<\/a>. \u0391\u03c0\u03bf\u03ba\u03c4\u03ae\u03c3\u03c4\u03b5 \u03c0\u03c1\u03cc\u03c3\u03b2\u03b1\u03c3\u03b7 \u03c3\u03b5 300+ \u03c0\u03c1\u03cc\u03c4\u03c5\u03c0\u03b1, \u03c0\u03c1\u03bf\u03c3\u03b1\u03c1\u03bc\u03cc\u03c3\u03c4\u03b5 \u03c4\u03b1 \u03b3\u03c1\u03b1\u03c6\u03b9\u03ba\u03ac, \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03b1\u03c3\u03c4\u03b5\u03af\u03c4\u03b5 \u03b1\u03c0\u03c1\u03cc\u03c3\u03ba\u03bf\u03c0\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03ae\u03c3\u03c4\u03b5 \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03b1\u03ba\u03ac infographics. \u0395\u03c0\u03b9\u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03ae\u03c3\u03c4\u03b5 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03c3\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03c4\u03b1 \u03b5\u03c5\u03c1\u03ae\u03bc\u03b1\u03c4\u03ac \u03c3\u03b1\u03c2 \u03ba\u03b1\u03b9 \u03b3\u03bf\u03b7\u03c4\u03b5\u03cd\u03c3\u03c4\u03b5 \u03c4\u03bf \u03ba\u03bf\u03b9\u03bd\u03cc \u03c3\u03b1\u03c2 \u03c3\u03b5 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03c3\u03b5\u03b9\u03c2, \u03b4\u03b7\u03bc\u03bf\u03c3\u03b9\u03b5\u03cd\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03ad\u03c3\u03b1 \u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03b9\u03ba\u03ae\u03c2 \u03b4\u03b9\u03ba\u03c4\u03cd\u03c9\u03c3\u03b7\u03c2. \u039e\u03b5\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03c3\u03c4\u03b5 \u03c4\u03b7 \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03c4\u03b7\u03c2 \u03bf\u03c0\u03c4\u03b9\u03ba\u03ae\u03c2 \u03b5\u03c0\u03b9\u03ba\u03bf\u03b9\u03bd\u03c9\u03bd\u03af\u03b1\u03c2 \u03bc\u03b5 \u03c4\u03bf Mind the Graph. \u0395\u03b3\u03b3\u03c1\u03b1\u03c6\u03b5\u03af\u03c4\u03b5 \u03b4\u03c9\u03c1\u03b5\u03ac\u03bd.<\/p>\n\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><a href=\"https:\/\/mindthegraph.com\/?utm_source=blog&amp;utm_medium=content\"><img decoding=\"async\" loading=\"lazy\" width=\"594\" height=\"463\" src=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/scientifically-accurate-posters.webp\" alt=\"\u03b5\u03c0\u03b9\u03c3\u03c4\u03b7\u03bc\u03bf\u03bd\u03b9\u03ba\u03ac \u03b1\u03ba\u03c1\u03b9\u03b2\u03b5\u03af\u03c2 \u03b1\u03c6\u03af\u03c3\u03b5\u03c2\" class=\"wp-image-26707\" srcset=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/scientifically-accurate-posters.webp 594w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/scientifically-accurate-posters-300x234.webp 300w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/scientifically-accurate-posters-15x12.webp 15w, https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2023\/02\/scientifically-accurate-posters-100x78.webp 100w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/a><\/figure><\/div>\n\n\n<div style=\"height:21px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<div class=\"is-layout-flex wp-block-buttons\">\n<div class=\"wp-block-button aligncenter\"><a class=\"wp-block-button__link has-background wp-element-button\" href=\"https:\/\/mindthegraph.com\/?utm_source=blog&amp;utm_medium=content\" style=\"border-radius:50px;background-color:#dc1866\" target=\"_blank\" rel=\"noreferrer noopener\">\u039e\u03b5\u03ba\u03b9\u03bd\u03ae\u03c3\u03c4\u03b5 \u03bd\u03b1 \u03b4\u03b7\u03bc\u03b9\u03bf\u03c5\u03c1\u03b3\u03b5\u03af\u03c4\u03b5 \u03bc\u03b5 \u03c4\u03bf Mind the Graph<\/a><\/div>\n<\/div>\n\n\n\n<div style=\"height:44px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>","protected":false},"excerpt":{"rendered":"<p>\u0391\u03bd\u03b1\u03ba\u03b1\u03bb\u03cd\u03c8\u03c4\u03b5 \u03c4\u03b9\u03c2 \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03b1\u03c5\u03c4\u03bf\u03bc\u03b1\u03c4\u03bf\u03c0\u03bf\u03b9\u03b7\u03bc\u03ad\u03bd\u03b7\u03c2 \u03b1\u03bd\u03ac\u03bb\u03c5\u03c3\u03b7\u03c2 \u03c0\u03b5\u03c1\u03b9\u03b5\u03c7\u03bf\u03bc\u03ad\u03bd\u03bf\u03c5, \u03b1\u03be\u03b9\u03bf\u03c0\u03bf\u03b9\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b7\u03bd \u03c4\u03b5\u03c7\u03bd\u03bf\u03bb\u03bf\u03b3\u03af\u03b1 \u03a4\u039d \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03be\u03b5\u03ba\u03bb\u03b5\u03b9\u03b4\u03ce\u03c3\u03b5\u03c4\u03b5 \u03c0\u03bf\u03bb\u03cd\u03c4\u03b9\u03bc\u03b5\u03c2 \u03c0\u03bb\u03b7\u03c1\u03bf\u03c6\u03bf\u03c1\u03af\u03b5\u03c2 \u03b1\u03c0\u03cc \u03b5\u03ba\u03c4\u03b5\u03c4\u03b1\u03bc\u03ad\u03bd\u03b1 \u03c3\u03cd\u03bd\u03bf\u03bb\u03b1 \u03b4\u03b5\u03b4\u03bf\u03bc\u03ad\u03bd\u03c9\u03bd.<\/p>","protected":false},"author":28,"featured_media":50170,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[959,28],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v19.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Discover The Transformative Potential Of Computational Methods<\/title>\n<meta name=\"description\" content=\"Unveiling the versatility and impact of computational methods across disciplines. 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Read this article and understand it all.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/mindthegraph.com\/blog\/el\/computational-methods\/\" \/>\n<meta property=\"og:site_name\" content=\"Mind the Graph Blog\" \/>\n<meta property=\"article:published_time\" content=\"2024-01-20T13:38:27+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2024-01-18T13:46:09+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/mindthegraph.com\/blog\/wp-content\/uploads\/2024\/01\/computational-methods-blog.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1123\" \/>\n\t<meta property=\"og:image:height\" content=\"612\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"author\" content=\"Jessica Abbadia\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:title\" content=\"Discover The Transformative Potential Of Computational Methods\" \/>\n<meta name=\"twitter:description\" content=\"Unveiling the versatility and impact of computational methods across disciplines. 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