{"id":184,"date":"2018-03-04T17:57:33","date_gmt":"2018-03-04T15:57:33","guid":{"rendered":"https:\/\/ylikodidaskalias.wordpress.com\/?p=25"},"modified":"2018-03-04T17:57:33","modified_gmt":"2018-03-04T15:57:33","slug":"%ce%b1%cf%81%cf%87%ce%b9%ce%bc%ce%ae%ce%b4%ce%b7%cf%82-2018-%ce%b8%ce%ad%ce%bc%ce%b1%cf%84%ce%b1-%ce%ba%ce%b1%ce%b9-%ce%bb%cf%8d%cf%83%ce%b5%ce%b9%cf%82","status":"publish","type":"post","link":"https:\/\/presswiki.allmath.gr\/wpwiki18\/2018\/03\/04\/17\/57\/33\/184\/","title":{"rendered":"\u0391\u03c1\u03c7\u03b9\u03bc\u03ae\u03b4\u03b7\u03c2 2018 &#8211; \u0398\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2"},"content":{"rendered":"<p>\u039a\u03b1\u03c4\u03b5\u03b2\u03ac\u03c3\u03c4\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b8\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c0\u03cc <a href=\"https:\/\/mega.nz\/#!7YxRTRwa!dt_I-r4PVg8P6S4STUEn2JYtmriWehJmfLahR7gwhWg\">\u03b5\u03b4\u03ce<\/a>.<\/p>\n<p><strong class=\"text-strong\">\u0398\u03ad\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ce\u03bd <\/strong><\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 1.<\/strong><\/p>\n<ol>\n<li>\u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <img title=\"x\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/9dd4e461268c8034f5c8564e155c67a6.png\" alt=\"x\" align=\"absmiddle\" \/>, \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"x+\\sqrt{3}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/aa6771e793e9925db0b1b290e3b15974.png\" alt=\"x+\\sqrt{3}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"x^2+\\sqrt{3}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/69d5ca641ebc7ccd8716f5780211c1cc.png\" alt=\"x^2+\\sqrt{3}\" align=\"absmiddle\" \/> \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c1\u03b7\u03c4\u03bf\u03af.<\/li>\n<li>\u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <img title=\"y\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/415290769594460e2e485922904f345d.png\" alt=\"y\" align=\"absmiddle\" \/>, \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"y+\\sqrt{3}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/e297c711f8e22c6db757981a47c9c25e.png\" alt=\"y+\\sqrt{3}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"y^3+\\sqrt{3}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7cb2753b6dd165cc3ff29d7c950d83b4.png\" alt=\"y^3+\\sqrt{3}\" align=\"absmiddle\" \/> \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c1\u03b7\u03c4\u03bf\u03af.<\/li>\n<\/ol>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 2.<\/strong><br \/>\n\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf <img title=\"{\\rm{AB}}\\Gamma\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/9f154b5b91f9e2b05c3610e44b0078c0.png\" alt=\"{\\rm{AB}}\\Gamma\\Delta\" align=\"absmiddle\" \/> \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 <img title=\"8\\,cm\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/b974bc1695830a49e995b2611453a408.png\" alt=\"8\\,cm\" align=\"absmiddle\" \/>, \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03c5\u03c0\u03bf\u03b4\u03b9\u03b1\u03b9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b5 \u03b5\u03c5\u03b8\u03b5\u03af\u03b5\u03c2 \u03c0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03b5\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b9\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03c3\u03b5 <img title=\"64\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/ea5d2f1c4608232e07d3aa3d998e5135.png\" alt=\"64\" align=\"absmiddle\" \/> \u03bc\u03b9\u03ba\u03c1\u03ac \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03b1 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 <img title=\"1\\,cm\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/1c93a2b1fd7b50f1d482a50fe21d1cb4.png\" alt=\"1\\,cm\" align=\"absmiddle\" \/>. \u03a7\u03c1\u03c9\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 <img title=\"7\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8f14e45fceea167a5a36dedd4bea2543.png\" alt=\"7\" align=\"absmiddle\" \/> \u03bc\u03b9\u03ba\u03c1\u03ac \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03b1 \u03bc\u03b1\u03cd\u03c1\u03b1, \u03b5\u03bd\u03ce \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03b1 <img title=\"57\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/72b32a1f754ba1c09b3695e0cb6cde7f.png\" alt=\"57\" align=\"absmiddle\" \/> \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bb\u03b5\u03c5\u03ba\u03ac. \u03a5\u03c0\u03bf\u03b8\u03ad\u03c4\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2 <img title=\"k\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8ce4b16b22b58894aa86c421e8759df3.png\" alt=\"k\" align=\"absmiddle\" \/>, \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5, \u03b1\u03bd\u03b5\u03be\u03ac\u03c1\u03c4\u03b7\u03c4\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b8\u03ad\u03c3\u03b7 \u03c4\u03c9\u03bd <img title=\"7\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8f14e45fceea167a5a36dedd4bea2543.png\" alt=\"7\" align=\"absmiddle\" \/> \u03bc\u03b1\u03cd\u03c1\u03c9\u03bd \u03bc\u03b9\u03ba\u03c1\u03ce\u03bd \u03c4\u03b5\u03c4\u03c1\u03b1\u03b3\u03ce\u03bd\u03c9\u03bd, \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf \u03b5\u03bc\u03b2\u03b1\u03b4\u03bf\u03cd <img title=\"k\\,cm^2\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7e06280e00b26eeb90dc048568658658.png\" alt=\"k\\,cm^2\" align=\"absmiddle\" \/> \u03bc\u03b5 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03c0\u03b1\u03c1\u03ac\u03bb\u03bb\u03b7\u03bb\u03b5\u03c2 \u03c3\u03c4\u03b9\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03c4\u03bf\u03c5 <img title=\"{\\rm{AB}}\\Gamma\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/9f154b5b91f9e2b05c3610e44b0078c0.png\" alt=\"{\\rm{AB}}\\Gamma\\Delta\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03bc\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ac \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03b1 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03bb\u03b5\u03c5\u03ba\u03ac, \u03c0\u03bf\u03c5 \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03bd\u03b1 \u03b1\u03c0\u03bf\u03ba\u03bf\u03c0\u03b5\u03af \u03b1\u03c0\u03cc \u03c4\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf <img title=\"{\\rm{AB}}\\Gamma\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/9f154b5b91f9e2b05c3610e44b0078c0.png\" alt=\"{\\rm{AB}}\\Gamma\\Delta\" align=\"absmiddle\" \/>. \u039d\u03b1 \u03b2\u03c1\u03b5\u03b8\u03b5\u03af \u03b7 \u03bc\u03ad\u03b3\u03b9\u03c3\u03c4\u03b7 \u03b4\u03c5\u03bd\u03b1\u03c4\u03ae \u03c4\u03b9\u03bc\u03ae \u03c4\u03bf\u03c5 <img title=\"k\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8ce4b16b22b58894aa86c421e8759df3.png\" alt=\"k\" align=\"absmiddle\" \/>.<\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 3.<\/strong><br \/>\n\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03ba\u03b5\u03c1\u03b1\u03af\u03bf\u03c5\u03c2 <img title=\"a,b\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/b345e1dc09f20fdefdea469f09167892.png\" alt=\"a,b\" align=\"absmiddle\" \/> \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <img title=\"K\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/a5f3c6a11b03839d46af9fb43c97c188.png\" alt=\"K\" align=\"absmiddle\" \/>, \u03cc\u03c0\u03bf\u03c5 <img title=\"\\displaystyle K=\\frac{(a+b)^2+4a}{ab}\\,,\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/67107726bab3710b5ccd83f34a35744c.png\" alt=\"\\displaystyle K=\\frac{(a+b)^2+4a}{ab}\\,,\" align=\"absmiddle\" \/> \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03c2. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9, \u03b1\u03bd \u03bf <img title=\"b\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/92eb5ffee6ae2fec3ad71c777531578f.png\" alt=\"b\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b5\u03c1\u03b9\u03c4\u03c4\u03cc\u03c2, \u03c4\u03cc\u03c4\u03b5 \u03bf <img title=\"a\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/0cc175b9c0f1b6a831c399e269772661.png\" alt=\"a\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf.<\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 4.<\/strong><br \/>\n\u0394\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf <img title=\"{\\rm{AB}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/13f8cd286234064637a5594b00d14dc9.png\" alt=\"{\\rm{AB}}\\Gamma\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"{\\rm{AB}}&lt;{\\rm{A}}\\Gamma&lt;{\\rm{B}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/218d3a2595bf500bfbc4b1f4f265984b.png\" alt=\"{\\rm{AB}}&lt;{\\rm{A}}\\Gamma&lt;{\\rm{B}}\\Gamma\" align=\"absmiddle\" \/>, \u03b5\u03b3\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf \u03c3\u03b5 \u03ba\u03cd\u03ba\u03bb\u03bf <img title=\"c\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/4a8a08f09d37b73795649038408b5f33.png\" alt=\"c\" align=\"absmiddle\" \/> \u03bc\u03b5 \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf <img title=\"\\rm{O}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/2903465f29295ea311243b6eb52fc28f.png\" alt=\"\\rm{O}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03b1\u03ba\u03c4\u03af\u03bd\u03b1 <img title=\"R\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/e1e1d3d40573127e9ee0480caf1283d6.png\" alt=\"R\" align=\"absmiddle\" \/>. \u039f\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 <img title=\"\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/967878d1da852d4b07a961e3168b0fff.png\" alt=\"\\Delta\" align=\"absmiddle\" \/> \u03c4\u03bf \u03b1\u03bd\u03c4\u03b9\u03b4\u03b9\u03b1\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03b7\u03c2 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ae\u03c2 <img title=\"\\rm{A}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/1a55e39b609bbd7f396b261e6ab22931.png\" alt=\"\\rm{A}\" align=\"absmiddle\" \/>. \u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03b5\u03c0\u03af\u03c3\u03b7\u03c2 \u03c4\u03bf\u03bd \u03ba\u03cd\u03ba\u03bb\u03bf <img title=\"c_1\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/576f1dacd615219d9f8bea06b26d5fdc.png\" alt=\"c_1\" align=\"absmiddle\" \/>, \u03c4\u03bf\u03c5 \u03bf\u03c0\u03bf\u03af\u03bf\u03c5 \u03c4\u03bf \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf <img title=\"\\rm{K}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/10f1b71718832f175b99ccdfedaab562.png\" alt=\"\\rm{K}\" align=\"absmiddle\" \/> \u03b2\u03c1\u03af\u03c3\u03ba\u03b5\u03c4\u03b1\u03b9 \u03b5\u03c0\u03ac\u03bd\u03c9 \u03c3\u03c4\u03bf \u03c4\u03bc\u03ae\u03bc\u03b1 <img title=\"{\\rm{B}}\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/a0cfc5f14dd72c964b9169dc5caf5f61.png\" alt=\"{\\rm{B}}\\Delta\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03c0\u03b5\u03c1\u03bd\u03ac\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 <img title=\"\\rm{B}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/fd423aea0b98068c1565622d10a91fef.png\" alt=\"\\rm{B}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/07710b5c43702a8bb7b9104eacc6ba71.png\" alt=\"\\Gamma\" align=\"absmiddle\" \/>. \u0391\u03bd \u03bf \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 <img title=\"c_1\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/576f1dacd615219d9f8bea06b26d5fdc.png\" alt=\"c_1\" align=\"absmiddle\" \/> \u03c4\u03ad\u03bc\u03bd\u03b5\u03b9 \u03c4\u03b7\u03bd <img title=\"{\\rm{A}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/bc5573983f61eb9bee1ca17cbbc95435.png\" alt=\"{\\rm{A}}\\Gamma\" align=\"absmiddle\" \/> \u03c3\u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf <img title=\"\\rm{E}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/659a217672af02bd5fc869a1c0d69bd5.png\" alt=\"\\rm{E}\" align=\"absmiddle\" \/>, \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03bf \u03c0\u03b5\u03c1\u03b9\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c2 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 <img title=\"\\rm{BKE}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8749f7c27ba99b32dccf6bfc9f18232f.png\" alt=\"\\rm{BKE}\" align=\"absmiddle\" \/> , \u03ad\u03c3\u03c4\u03c9 <img title=\"c_2\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/71f0427a673c14326195285a092cc63a.png\" alt=\"c_2\" align=\"absmiddle\" \/>, \u03b5\u03c6\u03ac\u03c0\u03c4\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf\u03c5 \u03c0\u03b5\u03c1\u03b9\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c5 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c5 <img title=\"c\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/4a8a08f09d37b73795649038408b5f33.png\" alt=\"c\" align=\"absmiddle\" \/> \u03c4\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 <img title=\"{\\rm{AB}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/13f8cd286234064637a5594b00d14dc9.png\" alt=\"{\\rm{AB}}\\Gamma\" align=\"absmiddle\" \/>.<\/p>\n<p>&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8212;&#8211;<\/p>\n<p><strong class=\"text-strong\">\u0398\u03ad\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03c9\u03bd<\/strong><\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 1.<\/strong><br \/>\n\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 <img title=\"(x_n),\\; n\\in\\mathbb{N}^{*}\\,,\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/3bff156e8b985bf02282e5b086f30b43.png\" alt=\"(x_n),\\; n\\in\\mathbb{N}^{*}\\,,\" align=\"absmiddle\" \/> \u03c0\u03bf\u03c5 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03b1\u03bd\u03b1\u03b4\u03c1\u03bf\u03bc\u03b9\u03ba\u03ac \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03c3\u03c7\u03ad\u03c3\u03b7 <img title=\"\\displaystyle x_{n+1}=3\\,x_n^3+x_n\\,,\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/8d282ce9e685080c17336b3263dab2ad.png\" alt=\"\\displaystyle x_{n+1}=3\\,x_n^3+x_n\\,,\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"x_1=\\dfrac{a}{b}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/cb663284d85e040913198489a3197675.png\" alt=\"x_1=\\dfrac{a}{b}\" align=\"absmiddle\" \/>, \u03cc\u03c0\u03bf\u03c5 <img title=\"a,b\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/b345e1dc09f20fdefdea469f09167892.png\" alt=\"a,b\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03b8\u03b5\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf\u03b9 \u03ba\u03b1\u03b9 \u03bf <img title=\"3\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/eccbc87e4b5ce2fe28308fd9f2a7baf3.png\" alt=\"3\" align=\"absmiddle\" \/> \u03b4\u03b5\u03bd \u03b4\u03b9\u03b1\u03b9\u03c1\u03b5\u03af \u03c4\u03bf\u03bd \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf <img title=\"b\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/92eb5ffee6ae2fec3ad71c777531578f.png\" alt=\"b\" align=\"absmiddle\" \/>. \u0391\u03bd \u03b3\u03b9\u03b1 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03b8\u03b5\u03c4\u03b9\u03ba\u03cc \u03b1\u03ba\u03ad\u03c1\u03b1\u03b9\u03bf <img title=\"m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/6f8f57715090da2632453988d9a1501b.png\" alt=\"m\" align=\"absmiddle\" \/> \u03bf <img title=\"x_m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/3a478be0a3487efa896d71540d271d49.png\" alt=\"x_m\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03c1\u03b7\u03c4\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd, \u03bd\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03ba\u03b1\u03b9 \u03bf <img title=\"x_1\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/aa687da0086c1ea060a8838e24611319.png\" alt=\"x_1\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03c1\u03b7\u03c4\u03bf\u03cd \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd.<\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 2.<\/strong><br \/>\n\u0394\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03be\u03c5\u03b3\u03ce\u03bd\u03b9\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf <img title=\"{\\rm{AB}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/13f8cd286234064637a5594b00d14dc9.png\" alt=\"{\\rm{AB}}\\Gamma\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"{\\rm{AB}}&lt;{\\rm{A}}\\Gamma&lt;{\\rm{B}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/218d3a2595bf500bfbc4b1f4f265984b.png\" alt=\"{\\rm{AB}}&lt;{\\rm{A}}\\Gamma&lt;{\\rm{B}}\\Gamma\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03bf \u03c0\u03b5\u03c1\u03b9\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03bf\u03c2 \u03ba\u03cd\u03ba\u03bb\u03bf\u03c2 \u03c4\u03bf\u03c5 <img title=\"c\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/4a8a08f09d37b73795649038408b5f33.png\" alt=\"c\" align=\"absmiddle\" \/> \u03bc\u03b5 \u03ba\u03ad\u03bd\u03c4\u03c1\u03bf <img title=\"\\rm{O}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/2903465f29295ea311243b6eb52fc28f.png\" alt=\"\\rm{O}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03b1\u03ba\u03c4\u03af\u03bd\u03b1 <img title=\"R\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/e1e1d3d40573127e9ee0480caf1283d6.png\" alt=\"R\" align=\"absmiddle\" \/>. \u03a3\u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ac \u03c4\u03cc\u03be\u03b1 <img title=\"{\\rm{A}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/bc5573983f61eb9bee1ca17cbbc95435.png\" alt=\"{\\rm{A}}\\Gamma\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"{\\rm{AB}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/f4ef9d46c0454b1f824055bf694f4b4c.png\" alt=\"{\\rm{AB}}\" align=\"absmiddle\" \/> \u03b8\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 <img title=\"\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/967878d1da852d4b07a961e3168b0fff.png\" alt=\"\\Delta\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"\\rm{E}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/659a217672af02bd5fc869a1c0d69bd5.png\" alt=\"\\rm{E}\" align=\"absmiddle\" \/> \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1. \u0388\u03c3\u03c4\u03c9 <img title=\"\\rm{K}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/10f1b71718832f175b99ccdfedaab562.png\" alt=\"\\rm{K}\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03bf\u03bc\u03ae\u03c2 \u03c4\u03c9\u03bd <img title=\"{\\rm{B}}\\Delta,\\; \\Gamma{\\rm{E}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/549fd9a944554b389f966c800116aa0c.png\" alt=\"{\\rm{B}}\\Delta,\\; \\Gamma{\\rm{E}}\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 <img title=\"\\rm{N}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/1b27b2b059eee80d7f79b0f3228a63a7.png\" alt=\"\\rm{N}\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03ba\u03bf\u03b9\u03bd\u03cc \u03c3\u03b7\u03bc\u03b5\u03af\u03bf \u03c4\u03c9\u03bd \u03c0\u03b5\u03c1\u03b9\u03b3\u03b5\u03b3\u03c1\u03b1\u03bc\u03bc\u03ad\u03bd\u03c9\u03bd \u03ba\u03cd\u03ba\u03bb\u03c9\u03bd \u03c4\u03c9\u03bd \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03c9\u03bd <img title=\"{\\rm{BKE}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/9cdeb5978083758ace4221d9ee354c1b.png\" alt=\"{\\rm{BKE}}\" align=\"absmiddle\" \/> , \u03ad\u03c3\u03c4\u03c9 <img title=\"c_1\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/576f1dacd615219d9f8bea06b26d5fdc.png\" alt=\"c_1\" align=\"absmiddle\" \/>, \u03ba\u03b1\u03b9 <img title=\"\\Gamma{\\rm{K}}\\Delta\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/852599a65841503d3d24c7266af051c4.png\" alt=\"\\Gamma{\\rm{K}}\\Delta\" align=\"absmiddle\" \/> , \u03ad\u03c3\u03c4\u03c9 <img title=\"c_2\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/71f0427a673c14326195285a092cc63a.png\" alt=\"c_2\" align=\"absmiddle\" \/>. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 : \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 <img title=\"{\\rm{A}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/db49873afafa9f826e6a6950fd8c83a2.png\" alt=\"{\\rm{A}}\" align=\"absmiddle\" \/>, <img title=\"{\\rm{K}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/730293164cac941398d46757f56eff07.png\" alt=\"{\\rm{K}}\" align=\"absmiddle\" \/>, <img title=\"{\\rm{N}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/5e4b3b8b9dbaaac250e0efc5deae467b.png\" alt=\"{\\rm{N}}\" align=\"absmiddle\" \/> \u03b5\u03af\u03bd\u03b1\u03b9 \u03c3\u03c5\u03bd\u03b5\u03c5\u03b8\u03b5\u03b9\u03b1\u03ba\u03ac, \u03b1\u03bd \u03ba\u03b1\u03b9 \u03bc\u03cc\u03bd\u03bf \u03b1\u03bd, \u03c4\u03bf \u03c3\u03b7\u03bc\u03b5\u03af\u03bf <img title=\"{\\rm{K}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/730293164cac941398d46757f56eff07.png\" alt=\"{\\rm{K}}\" align=\"absmiddle\" \/> \u03b1\u03bd\u03ae\u03ba\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03bf\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf \u03c4\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 <img title=\"{\\rm{AB}}\\Gamma\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/13f8cd286234064637a5594b00d14dc9.png\" alt=\"{\\rm{AB}}\\Gamma\" align=\"absmiddle\" \/>, \u03c0\u03bf\u03c5 \u03b1\u03bd\u03c4\u03b9\u03c3\u03c4\u03bf\u03b9\u03c7\u03b5\u03af \u03c3\u03c4\u03b7\u03bd \u03ba\u03bf\u03c1\u03c5\u03c6\u03ae <img title=\"{\\rm{A}}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/db49873afafa9f826e6a6950fd8c83a2.png\" alt=\"{\\rm{A}}\" align=\"absmiddle\" \/>.<\/p>\n<p><em class=\"text-italics\">\u03a3\u03b7\u03bc\u03b5\u03af\u03c9\u03c3\u03b7: \u03a3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03bf\u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf\u03c2 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c3\u03c5\u03bc\u03bc\u03b5\u03c4\u03c1\u03b9\u03ba\u03ae \u03b5\u03c5\u03b8\u03b5\u03af\u03b1 \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03bc\u03ad\u03c3\u03bf\u03c5, \u03c9\u03c2 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b7\u03bd \u03b4\u03b9\u03c7\u03bf\u03c4\u03cc\u03bc\u03bf, \u03c0\u03bf\u03c5 \u03c0\u03b5\u03c1\u03bd\u03ac\u03b5\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03af\u03b4\u03b9\u03b1 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ae \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b4\u03b9\u03ac\u03bc\u03b5\u03c3\u03bf. <\/em><\/p>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 3.<\/strong><\/p>\n<ol>\n<li>\u0394\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"n,\\,m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/563fd7c79ab36a0d89f73df2a700bda1.png\" alt=\"n,\\,m\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"n&lt;m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/ae390809ea53e689da14225a49b05429.png\" alt=\"n&lt;m\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b1\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"a_1,\\,a_2,\\ldots, a_m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/e055050b94da57668b9f84335875c222.png\" alt=\"a_1,\\,a_2,\\ldots, a_m\" align=\"absmiddle\" \/>. \u039d\u03b1 \u03b2\u03c1\u03b5\u03b8\u03bf\u03cd\u03bd \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03b1 <img title=\"P\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/44c29edb103a2872f519ad0c9a0fdaaa.png\" alt=\"P\" align=\"absmiddle\" \/> \u03bc\u03b5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2, \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd \u03c4\u03bf \u03c0\u03bf\u03bb\u03cd <img title=\"n\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7b8b965ad4bca0e41ab51de7b31363a1.png\" alt=\"n\" align=\"absmiddle\" \/>, \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b7 \u03b9\u03c3\u03cc\u03c4\u03b7\u03c4\u03b1 <img title=\"\\displaystyle \\big|P(a_i)-P(a_j)\\big|=|a_i-a_j|\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/bc9b2fb0c901747d3e356368e43596a3.png\" alt=\"\\displaystyle \\big|P(a_i)-P(a_j)\\big|=|a_i-a_j|\" align=\"absmiddle\" \/> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img title=\"i,j\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/ee813f0ede8664a8049b1b6720f03b60.png\" alt=\"i,j\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"1\\leqslant{i}&lt;j\\leqslant{m}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7f58991fd3785a98f16f4b1fe3e2d14b.png\" alt=\"1\\leqslant{i}&lt;j\\leqslant{m}\" align=\"absmiddle\" \/>.<\/li>\n<li>\u0394\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bf\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"m,\\,n\\geqslant2\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/d3571bb61ea240bf079c16692febed25.png\" alt=\"m,\\,n\\geqslant2\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"n&lt;m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/ae390809ea53e689da14225a49b05429.png\" alt=\"n&lt;m\" align=\"absmiddle\" \/>. \u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03bf\u03bb\u03c5\u03ce\u03bd\u03c5\u03bc\u03bf <img title=\"Q\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/f09564c9ca56850d4cd6b3319e541aee.png\" alt=\"Q\" align=\"absmiddle\" \/> \u03bc\u03b5 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2 \u03c3\u03c5\u03bd\u03c4\u03b5\u03bb\u03b5\u03c3\u03c4\u03ad\u03c2, \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd <img title=\"n\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7b8b965ad4bca0e41ab51de7b31363a1.png\" alt=\"n\" align=\"absmiddle\" \/> \u03ba\u03b1\u03b8\u03ce\u03c2 \u03ba\u03b1\u03b9 \u03b4\u03b9\u03b1\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03af \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af <img title=\"a_1,\\,a_2,\\ldots, a_m\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/e055050b94da57668b9f84335875c222.png\" alt=\"a_1,\\,a_2,\\ldots, a_m\" align=\"absmiddle\" \/>, \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03b9 \u03ce\u03c3\u03c4\u03b5 <img title=\"\\displaystyle \\big|Q(a_i)-Q(a_j)\\big|&lt;|a_i-a_j|\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/02dc740435127b63a531d1d203163f81.png\" alt=\"\\displaystyle \\big|Q(a_i)-Q(a_j)\\big|&lt;|a_i-a_j|\" align=\"absmiddle\" \/> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img title=\"i,j\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/ee813f0ede8664a8049b1b6720f03b60.png\" alt=\"i,j\" align=\"absmiddle\" \/> \u03bc\u03b5 <img title=\"1\\leqslant{i}&lt;j\\leqslant{m}\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7f58991fd3785a98f16f4b1fe3e2d14b.png\" alt=\"1\\leqslant{i}&lt;j\\leqslant{m}\" align=\"absmiddle\" \/>.<\/li>\n<\/ol>\n<p><strong class=\"text-strong\">\u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 4.<\/strong><br \/>\n\u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 <img title=\"n\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/7b8b965ad4bca0e41ab51de7b31363a1.png\" alt=\"n\" align=\"absmiddle\" \/> \u03c3\u03b7\u03bc\u03b5\u03af\u03b1 \u03c3\u03c4\u03bf \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf, <img title=\"n\\geqslant4\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/b1a0d8dc4e76788c3671ba0de45debcc.png\" alt=\"n\\geqslant4\" align=\"absmiddle\" \/>, \u03b1\u03bd\u03ac \u03c4\u03c1\u03af\u03b1 \u03bc\u03b7-\u03c3\u03c5\u03bd\u03b5\u03c5\u03b8\u03b5\u03b9\u03b1\u03ba\u03ac. \u039f\u03bd\u03bf\u03bc\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 <img title=\"A(n)\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/cf75c3c91ec32827667d489fab242297.png\" alt=\"A(n)\" align=\"absmiddle\" \/> \u03c4\u03bf \u03c0\u03bb\u03ae\u03b8\u03bf\u03c2 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03b1\u03bb\u03bb\u03b7\u03bb\u03bf\u03b3\u03c1\u03ac\u03bc\u03bc\u03c9\u03bd \u03b5\u03bc\u03b2\u03b1\u03b4\u03bf\u03cd <img title=\"1\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/c4ca4238a0b923820dcc509a6f75849b.png\" alt=\"1\" align=\"absmiddle\" \/> \u03c0\u03bf\u03c5 \u03c3\u03c7\u03b7\u03bc\u03b1\u03c4\u03af\u03b6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03ba\u03bf\u03c1\u03c5\u03c6\u03ad\u03c2 \u03b1\u03c5\u03c4\u03ac \u03c4\u03b1 \u03c3\u03b7\u03bc\u03b5\u03af\u03b1. \u039d\u03b1 \u03b1\u03c0\u03bf\u03b4\u03b5\u03af\u03be\u03b5\u03c4\u03b5 \u03cc\u03c4\u03b9 <img title=\"\\displaystyle A(n)\\leqslant\\frac{n^2-3n}{4}\\,,\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/0060e3ca046e52a4cf34fef37c5ec840.png\" alt=\"\\displaystyle A(n)\\leqslant\\frac{n^2-3n}{4}\\,,\" align=\"absmiddle\" \/> \u03b3\u03b9\u03b1 \u03ba\u03ac\u03b8\u03b5 <img title=\"n\\geqslant4\" src=\"http:\/\/mathematica.gr\/forum\/ext\/geomar\/texintegr\/latexrender\/pictures\/b1a0d8dc4e76788c3671ba0de45debcc.png\" alt=\"n\\geqslant4\" align=\"absmiddle\" \/>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u039a\u03b1\u03c4\u03b5\u03b2\u03ac\u03c3\u03c4\u03b5 \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b8\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03b9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03b1\u03c0\u03cc \u03b5\u03b4\u03ce. \u0398\u03ad\u03bc\u03b1\u03c4\u03b1 \u03bc\u03b9\u03ba\u03c1\u03ce\u03bd \u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 1. \u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 , \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c1\u03b7\u03c4\u03bf\u03af. \u039d\u03b1 \u03b5\u03be\u03b5\u03c4\u03ac\u03c3\u03b5\u03c4\u03b5 \u03b1\u03bd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c0\u03c1\u03b1\u03b3\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 , \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf\u03c2 \u03ce\u03c3\u03c4\u03b5 \u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03b4\u03cd\u03bf \u03c1\u03b7\u03c4\u03bf\u03af. \u03a0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 2. \u0398\u03b5\u03c9\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b5\u03c4\u03c1\u03ac\u03b3\u03c9\u03bd\u03bf \u03c0\u03bb\u03b5\u03c5\u03c1\u03ac\u03c2 , &hellip; <a href=\"https:\/\/presswiki.allmath.gr\/wpwiki18\/2018\/03\/04\/17\/57\/33\/184\/\" class=\"more-link\">\u0394\u03b9\u03b1\u03b2\u03ac\u03c3\u03c4\u03b5 \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03b1<span class=\"screen-reader-text\"> &#8220;\u0391\u03c1\u03c7\u03b9\u03bc\u03ae\u03b4\u03b7\u03c2 2018 &#8211; \u0398\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[75,17],"tags":[86,96,114],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/184"}],"collection":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/comments?post=184"}],"version-history":[{"count":0,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/posts\/184\/revisions"}],"wp:attachment":[{"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/media?parent=184"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/categories?post=184"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/presswiki.allmath.gr\/wpwiki18\/wp-json\/wp\/v2\/tags?post=184"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}