{"id":555,"date":"2015-12-18T18:18:22","date_gmt":"2015-12-18T18:18:22","guid":{"rendered":"https:\/\/mathematics.mousoulides.com\/?p=555"},"modified":"2015-12-18T18:21:48","modified_gmt":"2015-12-18T18:21:48","slug":"%cf%84%ce%b5%cf%81%ce%b1%cf%83%cf%84%ce%b9%ce%bf%ce%b9-%ce%b1%cf%81%ce%b9%ce%b8%ce%bc%ce%bf%ce%af","status":"publish","type":"post","link":"https:\/\/mathematics.mousoulides.com\/?p=555","title":{"rendered":"\u03a4\u0395\u03a1\u0391\u03a3\u03c4\u03b9\u03bf\u03b9 \u0391\u03c1\u03b9\u03b8\u03bc\u03bf\u03af"},"content":{"rendered":"<h3 class=\"post-title entry-title\">GOOGOL \u2013 GOOGOLPLEX &#8211; GOOGOLPLEXIAN (\u039c\u0399\u0391 \u039c\u0399\u039a\u03a1\u0397 \u03a0\u0395\u03a1\u0399\u0397\u0393\u0397\u03a3\u0397&#8230;\u03a3\u03a4\u039f\u03a5\u03a3 \u039c\u0395\u0393\u0391\u039b\u039f\u03a5\u03a3 \u0391\u03a1\u0399\u0398\u039c\u039f\u03a5\u03a3)<\/h3>\n<div class=\"post-header\"><\/div>\n<div id=\"post-body-1151640642941792332\" class=\"post-body entry-content\">\n<div dir=\"ltr\"><span style=\"color: #008080;\"><em>\u03a4\u03bf \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf \u00a0^ \u03c3\u03b7\u03bc\u03ac\u03b9\u03bd\u03b5\u03b9 \u03c5\u03c8\u03c9\u03bc\u03ad\u03bd\u03bf \u03c3\u03c4\u03b7\u03bd \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae, \u00a02^3= \u00a0\u03b4\u03cd\u03bf \u03c3\u03c4\u03b7\u03bd \u03c4\u03c1\u03af\u03c4\u03b7 = 8<\/em><\/span><\/div>\n<div dir=\"ltr\"><span style=\"color: #008080;\">\u00a0<\/span><\/div>\n<div dir=\"ltr\"><\/div>\n<div dir=\"ltr\"><span style=\"color: #ff0000;\">Googol<\/span> \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <span style=\"color: #ff0000;\">10^100<\/span>, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b7 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b1\u03c0\u03cc 100 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ac. \u03a0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc:<br \/>\n1googol=10.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.<br \/>\n(\u03b4\u03ad\u03ba\u03b1 \u03c4\u03c1\u03b9\u03b1\u03ba\u03bf\u03bd\u03c4\u03b1\u03bd\u03c4\u03b1\u03b4\u03c5\u03ac\u03ba\u03b9\u03c2 \u03b5\u03ba\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03cd\u03c1\u03b9\u03b1).<br \/>\n\u039f \u03cc\u03c1\u03bf\u03c2 \u03c0\u03c1\u03c9\u03c4\u03bf\u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03c4\u03bf 1938, \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b5\u03bd\u03bd\u03b9\u03ac\u03c7\u03c1\u03bf\u03bd\u03bf \u03c4\u03cc\u03c4\u03b5 Milton Sirotta (1929-1981), o\u00a0 \u03bf\u03c0\u03bf\u03af\u03bf\u03c2 \u03ae\u03c4\u03b1\u03bd \u03b1\u03bd\u03b7\u03c8\u03b9\u03cc\u03c2 \u03c4\u03bf\u03c5 \u0391\u03bc\u03b5\u03c1\u03b9\u03ba\u03b1\u03bd\u03bf\u03cd \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd Edward Kasner \u03ba\u03b1\u03b9 \u03c0\u03c1\u03c9\u03c4\u03bf\u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03c3\u03c4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf &#8220;\u039cathematics and the imagination&#8221; \u03c4\u03c9\u03bd \u039aasner \u03ba\u03b1\u03b9 Newman.\u00a0\u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03b1\u03c5\u03c4\u03cc\u03c2 \u03b4\u03b5\u03bd \u03ad\u03c7\u03b5\u03b9 \u03ba\u03ac\u03c0\u03bf\u03b9\u03bf \u03b9\u03b4\u03b9\u03b1\u03af\u03c4\u03b5\u03c1\u03bf \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03bf\u03bd \u03b3\u03b9\u03b1 \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03b5\u03af\u03bd\u03b1\u03b9 \u03cc\u03bc\u03c9\u03c2 \u03c0\u03bf\u03bb\u03cd \u03c7\u03c1\u03ae\u03c3\u03b9\u03bc\u03bf\u03c2 \u03c3\u03b1\u03bd \u03bc\u03ad\u03c4\u03c1\u03bf \u03c3\u03cd\u03b3\u03ba\u03c1\u03b9\u03c3\u03b7\u03c2 \u03bc\u03b5 \u03bc\u03b5\u03b3\u03ac\u03bb\u03b5\u03c2 \u03c0\u03bf\u03c3\u03cc\u03c4\u03b7\u03c4\u03b5\u03c2 \u03cc\u03c0\u03c9\u03c2 \u03c0.\u03c7. \u03bf \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03c5\u03c0\u03bf\u03b1\u03c4\u03bf\u03bc\u03b9\u03ba\u03ce\u03bd \u03c3\u03c9\u03bc\u03b1\u03c4\u03b9\u03b4\u03af\u03c9\u03bd \u03c3\u03c4\u03bf \u03a3\u03cd\u03bc\u03c0\u03b1\u03bd \u03ae \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03b4\u03c5\u03bd\u03b1\u03c4\u03ce\u03bd \u03c0\u03b1\u03c1\u03c4\u03af\u03b4\u03c9\u03bd \u03c3\u03c4\u03bf \u03c3\u03ba\u03ac\u03ba\u03b9.\u03a4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 \u03c4\u03b7\u03c2 \u03c0\u03b1\u03c3\u03af\u03b3\u03bd\u03c9\u03c3\u03c4\u03b7\u03c2 \u03c0\u03bb\u03ad\u03bf\u03bd \u03b5\u03c4\u03b1\u03b9\u03c1\u03af\u03b1\u03c2 Google, \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03b1\u03bb\u03bb\u03b1\u03b3\u03ae \u03c4\u03b7\u03c2 \u03bb\u03ad\u03be\u03b7\u03c2 Googol, \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b9\u03b4\u03c1\u03c5\u03c4\u03ad\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03c4\u03b1\u03b9\u03c1\u03af\u03b1\u03c2 Larry Page \u03ba\u03b1\u03b9 Sergey Brin, \u03c3\u03cd\u03bc\u03c6\u03c9\u03bd\u03b1 \u03bc\u03b5 \u03cc\u03c3\u03b1 \u03c0\u03b5\u03c1\u03b9\u03b3\u03c1\u03ac\u03c6\u03bf\u03bd\u03c4\u03b1\u03b9 \u03c3\u03c4\u03bf \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u201cThe Google Story\u201d \u03c4\u03bf\u03c5 David A. Vise.\u00a0 \u03a4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 Google \u03c0\u03bb\u03ad\u03bf\u03bd \u03ba\u03b1\u03c4\u03b1\u03c7\u03c9\u03c1\u03b5\u03af\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b1 \u03bb\u03b5\u03be\u03b9\u03ba\u03ac\u00a0Oxford \u03ba\u03b1\u03b9 Merriam-Webster \u03c9\u03c2 \u03c3\u03c5\u03bd\u03ce\u03bd\u03c5\u03bc\u03bf \u03c4\u03b7\u03c2 \u03bb\u03ad\u03be\u03b7\u03c2 \u201c\u03b1\u03bd\u03b1\u03b6\u03ae\u03c4\u03b7\u03c3\u03b7\u201d.<span style=\"color: #0000ff;\">GOOGOLPLEX\u00a0\u00a0<\/span><\/p>\n<\/div>\n<div dir=\"ltr\">\u00a0\u0388\u03bd\u03b1 googolplex \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 <span style=\"color: #0000ff;\">10^googol<\/span>, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 10^10^10<br \/>\n1googolplex=10^googol=10^10^100<\/div>\n<div dir=\"ltr\">\u03a3\u03c4\u03bf \u03b5\u03c0\u03b5\u03b9\u03c3\u03cc\u03b4\u03b9\u03bf 9 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03c4\u03af\u03c4\u03bb\u03bf \u201cThe Lives of Stars\u201d \u03c4\u03b7\u03c2 \u03c3\u03b5\u03b9\u03c1\u03ac\u03c2 Cosmos, \u03bf \u03b4\u03b9\u03ac\u03c3\u03b7\u03bc\u03bf\u03c2 \u03b1\u03c3\u03c4\u03c1\u03bf\u03c6\u03c5\u03c3\u03b9\u03ba\u03cc\u03c2 Carl Sagan, \u03c5\u03c0\u03bf\u03bb\u03cc\u03b3\u03b9\u03c3\u03b5 \u03cc\u03c4\u03b9 \u03c4\u03bf \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03ad\u03bd\u03b1 googolplex \u03c3\u03c4\u03b7 \u03bc\u03bf\u03c1\u03c6\u03ae: 1000000000&#8230;..\u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03b4\u03cd\u03bd\u03b1\u03c4\u03bf, \u03b1\u03c6\u03bf\u03cd \u03b4\u03b5\u03bd \u03b8\u03b1 \u03b5\u03c0\u03b1\u03c1\u03ba\u03bf\u03cd\u03c3\u03b5 \u03bf \u03c7\u03ce\u03c1\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c4\u03bf \u03b3\u03bd\u03c9\u03c3\u03c4\u03cc \u03a3\u03cd\u03bc\u03c0\u03b1\u03bd \u03c0\u03b1\u03c1\u03ad\u03c7\u03b5\u03b9&#8230;<\/div>\n<div dir=\"ltr\">\u00a0\u0393\u03b9\u03b1 \u03bd\u03b1\u00a0 \u03b1\u03bd\u03c4\u03b9\u03bb\u03b7\u03c6\u03b8\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd \u03b1\u03c5\u03c4\u03bf\u03cd, \u03b1\u03c2 \u03c5\u03c0\u03bf\u03b8\u03ad\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b3\u03c1\u03ac\u03c6\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03c8\u03b7\u03c6\u03af\u03b1 \u03b1\u03bd\u03ac \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03cc\u03bb\u03b5\u03c0\u03c4\u03bf. \u0398\u03b1 \u03c7\u03c1\u03b5\u03b9\u03b1\u03b6\u03cc\u03bc\u03b1\u03c3\u03c4\u03b1\u03bd \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5\u00a0 10^92 \u03c7\u03c1\u03cc\u03bd\u03b9\u03b1 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b3\u03c1\u03ac\u03c8\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 googolplex (\u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03c7\u03c1\u03cc\u03bd\u03bf \u03af\u03c3\u03bf \u03bc\u03b5 10^82 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03b7\u03bd \u03b7\u03bb\u03b9\u03ba\u03af\u03b1 \u03c4\u03bf\u03c5 \u03a3\u03cd\u03bc\u03c0\u03b1\u03bd\u03c4\u03bf\u03c2) (Wikipedia: Googolplex)<span style=\"color: #339966;\">GOOGOLPLEXIAN<\/span><br \/>\n\u0391\u03bd \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 googolplex \u03c6\u03b1\u03bd\u03c4\u03ac\u03b6\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03c0\u03af\u03c3\u03c4\u03b5\u03c5\u03c4\u03b1 \u03bc\u03b5\u03b3\u03ac\u03bb\u03bf\u03c2, \u03c4\u03b9 \u03bd\u03b1 \u03c0\u03b5\u03b9 \u03ba\u03b1\u03bd\u03b5\u03af\u03c2 \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u00a0 Googolplexian, \u03c0\u03bf\u03c5 \u03bf\u03c1\u03af\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c9\u03c2:<br \/>\n1googolplexian=<span style=\"color: #339966;\">10^googolplex<\/span>=10^10^10^100<br \/>\n(https:\/\/www.googolplexian.com\/)\u0392\u0399\u0392\u039b\u0399\u039f\u0393\u03a1\u0391\u03a6\u0399\u0391 \u2013\u0391\u039d\u0391\u03a6\u039f\u03a1\u0395\u03a3<br \/>\n1.\u00a0 \u00ab\u039c\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03c5\u03c3\u03c4\u03ae\u03c1\u03b9\u03b1\u00bb , Calvin C. Clawson \u03c3\u03b5 \u03bc\u03b5\u03c4\u03ac\u03c6\u03c1\u03b1\u03c3\u03b7 \u03a0\u03b1\u03bd\u03b1\u03b3\u03b9\u03ce\u03c4\u03b7 \u03a0\u03b1\u03c0\u03b1\u03c7\u03c1\u03ae\u03c3\u03c4\u03bf\u03c5, \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2 \u039a\u03ad\u03b4\u03c1\u03bf\u03c2.<br \/>\n2. Googol<br \/>\n3. Googolplex<br \/>\n4. Skewe\u2019s number<br \/>\n5. Googol \u03ba\u03b1\u03b9 \u03c4\u03bf \u03cc\u03bd\u03bf\u03bc\u03b1 Google<br \/>\n6. Graham\u2019s number<br \/>\n7.\u00a0 Ronald Lewis Graham<br \/>\n8.(https:\/\/groups.google.com\/group\/sci.math\/browse_thread\/thread\/b38318e328ca461c\/482554d283535ba2)<br \/>\n9. Googol and Googolplex by Carl Sagan (Video)<\/p>\n<p><b>\u0393\u03b9\u03ac\u03bd\u03bd\u03b7\u03c2\u00a0 \u03a6\u03b9\u03bf\u03c1\u03b5\u03bd\u03c4\u03af\u03bd\u03bf\u03c2<\/b><i><b>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/b><\/i><\/p>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>GOOGOL \u2013 GOOGOLPLEX &#8211; GOOGOLPLEXIAN (\u039c\u0399\u0391 \u039c\u0399\u039a\u03a1\u0397 \u03a0\u0395\u03a1\u0399\u0397\u0393\u0397\u03a3\u0397&#8230;\u03a3\u03a4\u039f\u03a5\u03a3 \u039c\u0395\u0393\u0391\u039b\u039f\u03a5\u03a3 \u0391\u03a1\u0399\u0398\u039c\u039f\u03a5\u03a3) \u03a4\u03bf \u03c3\u03cd\u03bc\u03b2\u03bf\u03bb\u03bf \u00a0^ \u03c3\u03b7\u03bc\u03ac\u03b9\u03bd\u03b5\u03b9 \u03c5\u03c8\u03c9\u03bc\u03ad\u03bd\u03bf \u03c3\u03c4\u03b7\u03bd \u03b4\u03cd\u03bd\u03b1\u03bc\u03b7 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae, \u00a02^3= \u00a0\u03b4\u03cd\u03bf \u03c3\u03c4\u03b7\u03bd \u03c4\u03c1\u03af\u03c4\u03b7 = 8 \u00a0 Googol \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 10^100, \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b7 \u03bc\u03bf\u03bd\u03ac\u03b4\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03bf\u03cd\u03bc\u03b5\u03bd\u03b7 \u03b1\u03c0\u03cc 100 \u03bc\u03b7\u03b4\u03b5\u03bd\u03b9\u03ba\u03ac. \u03a0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03b4\u03b7\u03bb\u03b1\u03b4\u03ae \u03b3\u03b9\u03b1 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc: 1googol=10.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000. (\u03b4\u03ad\u03ba\u03b1 \u03c4\u03c1\u03b9\u03b1\u03ba\u03bf\u03bd\u03c4\u03b1\u03bd\u03c4\u03b1\u03b4\u03c5\u03ac\u03ba\u03b9\u03c2 \u03b5\u03ba\u03ba\u03b1\u03c4\u03bf\u03bc\u03bc\u03cd\u03c1\u03b9\u03b1). \u039f \u03cc\u03c1\u03bf\u03c2 \u03c0\u03c1\u03c9\u03c4\u03bf\u03b1\u03bd\u03b1\u03c6\u03ad\u03c1\u03b8\u03b7\u03ba\u03b5 \u03c4\u03bf 1938, \u03b1\u03c0\u03cc \u03c4\u03bf\u03bd \u03b5\u03bd\u03bd\u03b9\u03ac\u03c7\u03c1\u03bf\u03bd\u03bf \u03c4\u03cc\u03c4\u03b5 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-555","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=\/wp\/v2\/posts\/555","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=555"}],"version-history":[{"count":0,"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=\/wp\/v2\/posts\/555\/revisions"}],"wp:attachment":[{"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=555"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=555"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mathematics.mousoulides.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=555"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}