{"id":55615,"date":"2022-11-05T09:02:33","date_gmt":"2022-11-05T07:02:33","guid":{"rendered":"https:\/\/omathimatikos.gr\/?p=55615"},"modified":"2022-11-02T09:12:16","modified_gmt":"2022-11-02T07:12:16","slug":"%ce%bc%ce%b1%ce%b8%ce%b7%ce%bc%ce%b1%ce%b3%ce%b9%ce%ba%ce%ac-%ce%ba%cf%8c%ce%bb%cf%80%ce%b1-%ce%bc%ce%b5-%cf%84%cf%81%ce%b1%cf%80%ce%bf%cf%85%ce%bb%cf%8c%cf%87%ce%b1%cf%81%cf%84%ce%b1-%cf%84","status":"publish","type":"post","link":"https:\/\/omathimatikos.gr\/?p=55615","title":{"rendered":"\u039c\u03b1\u03b8\u03b7\u2026\u03bc\u03b1\u03b3\u03b9\u03ba\u03ac \u03ba\u03cc\u03bb\u03c0\u03b1 \u03bc\u03b5 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1"},"content":{"rendered":"<p><!--more--><\/p>\n<blockquote>\n<h3>\u039c\u03b1\u03b8\u03b7\u2026\u03bc\u03b1\u03b3\u03b9\u03ba\u03ac \u03ba\u03cc\u03bb\u03c0\u03b1 \u03bc\u03b5 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1, \u03c4\u03ad\u03bb\u03b5\u03b9\u03b1 \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03ad\u03bc\u03b1\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c4\u03bf \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1.<\/h3>\n<\/blockquote>\n<p>\u00ab<em>\u039f \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03bc\u03b5 \u03c4\u03bf\u03bd \u03bf\u03c0\u03bf\u03af\u03bf \u03b1\u03c3\u03ba\u03ce \u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac \u03bc\u03bf\u03b9\u03ac\u03b6\u03b5\u03b9 \u03c0\u03bf\u03bb\u03cd \u03bc\u03b5 \u03c4\u03b7 \u03bc\u03b1\u03b3\u03b5\u03af\u03b1 .\u039a\u03b1\u03b9 \u03c3\u03c4\u03b9\u03c2 \u03b4\u03c5\u03bf \u03c0\u03b5\u03c1\u03b9\u03c0\u03c4\u03ce\u03c3\u03b5\u03b9\u03c2 \u03ad\u03c7\u03b5\u03b9\u03c2 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1, \u03c0\u03bf\u03c5 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03c4\u03bf \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c5\u03c0\u03cc 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\u03c0\u03c1\u03bf\u03b2\u03bb\u03b7\u03bc\u03ac\u03c4\u03c9\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b5\u03c1\u03af\u03c0\u03bf\u03c5 \u03b7 \u03af\u03b4\u03b9\u03b1. \u039c\u03b9\u03b1 \u03b8\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03ac \u03b1\u03bd\u03ac\u03bc\u03b5\u03c3\u03b1 \u03c3\u03c4\u03b7\u03bd \u03bc\u03b1\u03b3\u03b5\u03af\u03b1 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac\u00a0\u00a0\u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03bd\u03c4\u03b1\u03b3\u03c9\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2. \u03a3\u03c4\u03b1 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac, \u03bf \u03b1\u03bd\u03c4\u03b1\u03b3\u03c9\u03bd\u03b9\u03c3\u03bc\u03cc\u03c2 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b9\u03bf \u03ad\u03bd\u03c4\u03bf\u03bd\u03bf\u03c2.\u00bb<\/em><\/p>\n<p>Persi Diakonis 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\u03ba\u03bf\u03cd\u03c0\u03b1.<\/p>\n<p>\u039b\u03b5\u03c2,\u00ab<em>\u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03b5\u03af \u03ba\u03ac\u03c0\u03bf\u03c5 \u03ba\u03bb\u03ad\u03b2\u03b5\u03b9 \u03bf \u03c4\u03cd\u03c0\u03bf\u03c2<\/em>\u00bb. \u038c\u03bc\u03c9\u03c2 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c0\u03b1\u03c1\u03ac \u03bc\u03cc\u03bd\u03bf \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03ac. \u0391\u03c2 \u03c4\u03bf \u03c0\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03ae, \u03bd\u03b1 \u03c4\u03bf \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c6\u03c1\u03b1\u03b3\u03ba\u03bf\u03b4\u03af\u03c6\u03c1\u03b1\u03b3\u03ba\u03b1.<\/p>\n<p>\u03a0\u03c1\u03ce\u03c4\u03b1 \u03bd\u03b1 \u03bf\u03c1\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1.<\/p>\n<p><strong><em>\u03a4\u03ad\u03bb\u03b5\u03b9\u03bf \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 (<\/em><\/strong><strong><em>Riffle\u00a0<\/em><\/strong><strong><em>shuffle,<\/em><\/strong><strong><em>Faro\u00a0<\/em><\/strong><strong><em>shuffle,<\/em><\/strong><strong><em>Perfect\u00a0<\/em><\/strong><strong><em>shuffle)<\/em><\/strong><\/p>\n<p>\u03a0\u03c9\u03c2 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9; \u03a7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1 \u03c3\u03b5 \u03b4\u03c5\u03bf \u03b9\u03c3\u03bf\u03c0\u03bb\u03b7\u03b8\u03b5\u03af\u03c2 \u03c3\u03c4\u03bf\u03af\u03b2\u03b5\u03c2 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03c9\u03bd (1<sup>\u03b7<\/sup>,2<sup>\u03b7<\/sup>) \u03ba\u03b1\u03b9\u00a0 \u03c4\u03b1 \u03b5\u03bd\u03ce\u03bd\u03bf\u03c5\u03bc\u03b5-\u03bc\u03b5 \u03bc\u03b9\u03b1 \u03b5\u03bd\u03c4\u03c5\u03c0\u03c9\u03c3\u03b9\u03b1\u03ba\u03ae \u03ba\u03af\u03bd\u03b7\u03c3\u03b7-\u03c3\u03b5 \u03bc\u03b9\u03b1\u00a0\u00a0\u03b5\u03bd\u03b9\u03b1\u03af\u03b1 \u03c3\u03c4\u03bf\u03af\u03b2\u03b1,\u03c4\u03bf\u03c0\u03bf\u03b8\u03b5\u03c4\u03ce\u03bd\u03c4\u03b1\u03c2 \u03c4\u03b1 \u03b5\u03bd\u03b1\u03bb\u03bb\u03ac\u03be \u03ad\u03c4\u03c3\u03b9 \u03ce\u03c3\u03c4\u03b5 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1 \u03b5\u03bd\u03b1\u03bb\u03bb\u03ac\u03be\u00a0\u00a01<sup>\u03b7<\/sup>\u00a0,2<sup>\u03b7<\/sup>\u00a0\u00a0\u03ae \u03c4\u03b1\u03bd\u03ac\u03c0\u03b1\u03bb\u03b9\u03bd. (\u03c3\u03c7\u03ae\u03bc\u03b1)<\/p>\n<p><img data-attachment-id=\"55618\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55618\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?fit=444%2C319&amp;ssl=1\" data-orig-size=\"444,319\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"3\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?fit=350%2C251&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?fit=444%2C319&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-full wp-image-55618\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?resize=444%2C319&#038;ssl=1\" alt=\"\" width=\"444\" height=\"319\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?w=444&amp;ssl=1 444w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?resize=350%2C251&amp;ssl=1 350w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/3.png?resize=150%2C108&amp;ssl=1 150w\" sizes=\"(max-width: 444px) 100vw, 444px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u0394\u03b5\u03af\u03c4\u03b5 \u03c0\u03c9\u03c2 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 \u03ba\u03b1\u03b9\u00a0 \u03c3\u03c4\u03bf \u03b2\u03af\u03bd\u03c4\u03b5\u03bf.<\/p>\n<p><iframe loading=\"lazy\" title=\"Cardistry for Beginners: Shuffles - Faro Shuffle Tutorial\" width=\"700\" height=\"394\" src=\"https:\/\/www.youtube.com\/embed\/T0yO2n8x_DI?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>\u0391\u03c2 \u03c4\u03bf \u03b4\u03bf\u03cd\u03bc\u03b5 \u03c5\u03c0\u03cc \u03ba\u03bb\u03af\u03bc\u03b1\u03ba\u03b1.<\/p>\n<p>\u0388\u03c3\u03c4\u03c9 \u03cc\u03c4\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5\u00a0\u00a08 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1, \u03b8\u03b1 \u03c4\u03b1 \u03b1\u03c1\u03b9\u03b8\u03bc\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03bf 1 \u03bc\u03ad\u03c7\u03c1\u03b9 \u03c4\u03bf 8. \u03a7\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5\u00a0\u00a0\u03c4\u03b1 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1 \u03c3\u03b5 \u03b4\u03c5\u03bf \u03c3\u03c4\u03bf\u03af\u03b2\u03b5\u03c2 \u03b7 \u03bc\u03b9\u03b1 \u03bd\u03b1\u00a0\u00a0\u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03ba\u03ac\u03c1\u03c4\u03b5\u03c2 1,2,3,4 \u03ba\u03b1\u03b9 \u03b7 \u03ac\u03bb\u03bb\u03b7\u00a0\u00a0\u00a0\u03b1\u03c0\u03cc \u03c4\u03b9\u03c2 \u03ba\u03ac\u03c1\u03c4\u03b5\u03c2 5,6,7,8.<\/p>\n<p>\u03a4\u03b9\u03c2\u00a0\u00a0\u03b5\u03bd\u03ce\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03ac\u03ba\u03bf \u03ba\u03b1\u03b9 \u03b1\u03c5\u03c4\u03cc \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03bc\u03b5 \u03b4\u03c5\u03bf \u03c4\u03c1\u03cc\u03c0\u03bf\u03c5\u03c2 (\u03c3\u03c7\u03ae\u03bc\u03b1)<\/p>\n<p><img data-attachment-id=\"55617\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55617\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?fit=976%2C612&amp;ssl=1\" data-orig-size=\"976,612\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"2\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?fit=350%2C219&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?fit=523%2C328&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-large wp-image-55617\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?resize=523%2C328&#038;ssl=1\" alt=\"\" width=\"523\" height=\"328\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?resize=523%2C328&amp;ssl=1 523w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?resize=350%2C219&amp;ssl=1 350w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?resize=150%2C94&amp;ssl=1 150w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?resize=768%2C482&amp;ssl=1 768w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/2.png?w=976&amp;ssl=1 976w\" sizes=\"(max-width: 523px) 100vw, 523px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u039f\u03c5\u03c3\u03b9\u03b1\u03c3\u03c4\u03b9\u03ba\u03ac, \u03c0\u03c1\u03cc\u03ba\u03b5\u03b9\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03b4\u03c5\u03bf \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ac \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03ad\u03bc\u03b1\u03c4\u03b1:<\/p>\n<p>-\u03a4\u03bf\u00a0<strong>\u03c0\u03c1\u03ce\u03c4\u03bf\u00a0<\/strong>\u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03bf \u03c4\u03bf\u03c5 \u03b4\u03b5\u03be\u03b9\u03bf\u03cd \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf\u03c5 \u03ba\u03b1\u03c1\u03c4\u03ce\u03bd \u03bc\u03ad\u03bd\u03b5\u03b9\u00a0<strong>\u0388\u03be\u03c9\u00a0<\/strong>\u00a0\u03c9\u03c2 \u03c0\u03c1\u03ce\u03c4\u03bf \u03c6\u03cd\u03bb\u03bb\u03bf\u00a0\u00a0(\u03c3\u03c7\u03ae\u03bc\u03b1 1)<\/p>\n<p>-\u03a4\u03bf\u00a0<strong>\u03c0\u03c1\u03ce\u03c4\u03bf\u00a0<\/strong>\u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03bf \u03c4\u03bf\u03c5 \u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03bf\u03cd \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf\u03c5 \u03ba\u03b1\u03c1\u03c4\u03ce\u03bd \u03bc\u03c0\u03b1\u03af\u03bd\u03b5\u03b9\u00a0\u00a0<strong>\u039c\u03ad\u03c3\u03b1<\/strong>\u00a0\u03c9\u03c2 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf \u03c6\u03cd\u03bb\u03bb\u03bf. (\u03c3\u03c7\u03ae\u03bc\u03b1 2)<\/p>\n<p>\u0386\u03c1\u03b1 \u03c4\u03bf\u00a0<strong>\u039c\u03ad\u03c3\u03b1-\u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 (\u039c<\/strong>,<strong>\u0399<\/strong><strong>n-<\/strong><strong>shuffle)<\/strong>\u00a0\u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc\u00a0\u00a0\u03c0\u03b1\u03ba\u03ad\u03c4\u03bf \u03ba\u03b1\u03c1\u03c4\u03ce\u03bd 5,1,6,2,7,3,8,4\u00a0\u00a0\u03ba\u03b1\u03b9\u00a0<strong>\u03c4\u03bf \u0388\u03be\u03c9- \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 (\u0395,<\/strong><strong>out-<\/strong><strong>shuffle)<\/strong>\u00a0\u03bc\u03b1\u03c2 \u03b4\u03af\u03bd\u03b5\u03b9 \u03c3\u03c5\u03bd\u03bf\u03bb\u03b9\u03ba\u03cc\u00a0\u00a0\u03c0\u03b1\u03ba\u03ad\u03c4\u03bf \u03ba\u03b1\u03c1\u03c4\u03ce\u03bd 1,5,2,6,3,7,4,8<\/p>\n<p>\u039c\u03c0\u03bf\u03c1\u03b5\u03af\u03c4\u03b5 \u03bd\u03b1 \u03c4\u03bf \u03b4\u03bf\u03ba\u03b9\u03bc\u03ac\u03c3\u03b5\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03b5\u03c3\u03b5\u03af\u03c2 \u03c4\u03bf \u03c3\u03c0\u03af\u03c4\u03b9 \u03bc\u03b5 \u03bc\u03b9\u03b1 \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1.<\/p>\n<p><strong>\u0395\u03c1\u03c9\u03c4\u03ae\u03bc\u03b1\u03c4\u03b1<\/strong><\/p>\n<p>-\u0391\u03bd \u03c3\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf 8 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03c9\u03bd \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1\u00a0\u00a0\u03c4\u03c1\u03b5\u03b9\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2, \u03c0\u03bf\u03b9\u03b1 \u03b8\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03c4\u03b5\u03bb\u03b9\u03ba\u03ae \u03c3\u03b5\u03b9\u03c1\u03ac \u03c4\u03bf\u03c5 \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf\u03c5;<\/p>\n<p>-\u03a5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03c4\u03c1\u03cc\u03c0\u03bf\u03c2 \u03bc\u03b5 \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03c4\u03ad\u03bb\u03b5\u03b9\u03c9\u03bd \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd\u00a0\u00a0(<strong>\u039c\u03ad\u03c3\u03b1<\/strong>\u00a0\u03ae\u00a0<strong>\u0388\u03be\u03c9<\/strong>) \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c6\u03cd\u03bb\u03bf \u03c4\u03bf\u03c5 \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf\u03c5 \u03c3\u03b5 \u03cc\u03c0\u03bf\u03b9\u03b1 \u03b8\u03ad\u03c3\u03b7 \u03c4\u03bf\u03c5 \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b6\u03b7\u03c4\u03b7\u03b8\u03b5\u03af;<\/p>\n<p>\u039a\u03ac\u03b8\u03b5 \u03c4\u03b6\u03bf\u03b3\u03b1\u03b4\u03cc\u03c1\u03bf\u03c2 \u03c0\u03bf\u03c5 \u03c3\u03ad\u03b2\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf\u03bd \u03b5\u03b1\u03c5\u03c4\u03cc \u03c4\u03bf\u03c5 \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03b5\u03b9 \u03cc\u03c4\u03b9\u00a0\u00a0\u03b1\u03bd \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03b5\u03b9\u00a0\u00a0\u03c4\u03c1\u03b5\u03b9\u03c2 \u03c6\u03bf\u03c1\u03ad\u03c2 \u03c4\u03ad\u03bb\u03b5\u03b9\u03bf \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 (<strong>\u0388\u03be\u03c9<\/strong>) \u03c3\u03c4\u03bf \u03c0\u03b1\u03ba\u03ad\u03c4\u03bf \u03c4\u03c9\u03bd 8 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03c9\u03bd\u00a0\u00a0\u03b8\u03b1 \u03b5\u03c0\u03b1\u03bd\u03ad\u03bb\u03b8\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03bf\u03c5 \u03b8\u03ad\u03c3\u03b7.<\/p>\n<p>\u0393\u03b9\u03b1 \u03c4\u03b7\u03bd \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1 \u03c4\u03c9\u03bd 52 \u03c7\u03b1\u03c1\u03c4\u03b9\u03ce\u03bd \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 8 \u03c4\u03ad\u03bb\u03b5\u03b9\u03b1<strong>\u00a0\u0388\u03be\u03c9 \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03ad\u03bc\u03b1\u03c4\u03b1\u00a0(<\/strong><strong>Out-<\/strong><strong>shuffles)<\/strong>\u00a0\u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b1\u03bd\u03ad\u03bb\u03b8\u03b5\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c1\u03c7\u03b9\u03ba\u03ae \u03c4\u03b7\u03c2 \u03b8\u03ad\u03c3\u03b7.<\/p>\n<p>\u0395\u03b9\u03b4\u03b9\u03ba\u03cc\u03c4\u03b5\u03c1\u03b1,\u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c4\u03c9\u03bd \u03ad\u03be\u03c9 \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd (out_shuffles) \u03c0\u03bf\u03c5 \u03b1\u03c0\u03b1\u03b9\u03c4\u03bf\u03cd\u03bd\u03c4\u03b1\u03b9 \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b5\u03c0\u03b1\u03bd\u03ad\u03bb\u03b8\u03b5\u03b9 \u03bc\u03b9\u03b1 \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1\u00a0\u00a0\u03bd \u03c7\u03b1\u03c1\u03c4\u03b9\u03ce\u03bd\u00a0\u00a0\u03bc\u03b5 \u03bd=2,4,6, 8,10,12,14,16,\u2026\u03b5\u03af\u03bd\u03b1\u03b9 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03b1 1, 2, 4, 3, 6, 10, 12, 4, 8, 18, 6, 11,&#8230; (<a href=\"https:\/\/oeis.org\/A002326\">OEIS\u00a0A\u00a0<\/a><a href=\"https:\/\/oeis.org\/A002326\">002326)<\/a>.\u00a0\u0391\u03c1\u03ba\u03b5\u03af,\u00a0\u00a0\u03c4\u03bf \u03c5\u03c0\u03cc\u03bb\u03bf\u03b9\u03c0\u03bf \u03c4\u03b7\u03c2 \u03b4\u03b9\u03b1\u03af\u03c1\u03b5\u03c3\u03b7\u03c2 \u03c4\u03bf\u03c5 2<sup>\u03bd<\/sup>\u00a0\u00a0\u03bc\u03b5 \u03c4\u03bf \u03bd-1 \u03bd\u03b1 \u03b9\u03c3\u03bf\u03cd\u03c4\u03b1\u03b9 \u03bc\u03b5 1.<\/p>\n<p>\u0395\u03c0\u03af\u03c3\u03b7\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03b1\u03c0\u03bf\u03b4\u03b5\u03b9\u03c7\u03b8\u03b5\u03af\u00a0\u00a0\u03cc\u03c4\u03b9 \u03b1\u03bd \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03c6\u03ad\u03c1\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c7\u03b1\u03c1\u03c4\u03af\u00a0\u00a0\u03c3\u03c4\u03b7\u03bd \u03ba \u03b8\u03ad\u03c3\u03b7 \u03c4\u03cc\u03c4\u03b5 \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1\u00a0<strong>\u03bc\u03ad\u03c3\u03b1<\/strong>\u00a0,<strong>\u03ad\u03be\u03c9<\/strong>\u00a0\u03c4\u03ad\u03bb\u03b5\u03b9\u03c9\u03bd \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u03c4\u03b7\u03c2 \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03ac\u03bc\u03b5\u03c3\u03b7 \u03c3\u03c5\u03bd\u03ac\u03c6\u03b5\u03b9\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b3\u03c1\u03b1\u03c6\u03ae \u03c4\u03bf\u03c5 \u03ba \u03c3\u03c4\u03bf \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1.<\/p>\n<p>\u03a3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u00a0<strong>\u039c\u03ad\u03c3\u03b1-\u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1<\/strong>\u00a0\u03bc\u03b5 1 \u03ba\u03b1\u03b9 \u03c4\u03bf\u00a0<strong>\u0388\u03be\u03c9-\u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1<\/strong>\u00a0\u00a0\u03bc\u03b5\u00a0\u00a00\u00a0\u00a0\u03ba\u03b1\u03b9 \u03b8\u03b1 \u03b4\u03b9\u03b1\u03b2\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03c4\u03c9\u03bd \u03c4\u03ad\u03bb\u03b5\u03b9\u03c9\u03bd \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u03c0\u03bf\u03c5 \u03b3\u03af\u03bd\u03bf\u03bd\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc\u00a0\u00a0\u03b1\u03c1\u03b9\u03c3\u03c4\u03b5\u03c1\u03ac \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b1 \u03b4\u03b5\u03be\u03b9\u03ac.\u0393\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b4\u03b5\u03b9\u03b3\u03bc\u03b1, \u03b1\u03bd \u03b4\u03bf\u03b8\u03b5\u03af\u00a0\u00a0110\u00a0\u00a0\u03b1\u03c5\u03c4\u03cc \u03c3\u03b7\u03bc\u03b1\u03af\u03bd\u03b5\u03b9 \u03cc\u03c4\u03b9 \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03b6\u03b5\u03c4\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1 \u03b4\u03c5\u03bf \u03c6\u03bf\u03c1\u03ad\u03c2 \u03bc\u03ad\u03c3\u03b1 \u03b1\u03bd\u03b1\u03ba\u03ac\u03c4\u03b5\u03bc\u03b1 \u03ba\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c6\u03bf\u03c1\u03ac \u03ad\u03be\u03c9 .<\/p>\n<p>\u03a3\u03c5\u03bc\u03b2\u03bf\u03bb\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03c4\u03c9\u03bd 8 \u03c7\u03b1\u03c1\u03c4\u03b9\u03ce\u03bd \u03c3\u03c4\u03b7\u03bd \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1 \u03b1\u03c0\u03cc \u03c0\u03ac\u03bd\u03c9 \u03c0\u03c1\u03bf\u03c2 \u03c4\u03b1 \u03ba\u03ac\u03c4\u03c9\u00a0\u00a0\u03bc\u03b5 0,1,2,3,4,5,6,7<\/p>\n<p>\u039a\u03b1\u03c4\u03b1\u03c3\u03ba\u03b5\u03c5\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03ad\u03bd\u03b1 \u03c0\u03af\u03bd\u03b1\u03ba\u03b1 \u03bc\u03b5\u00a0\u00a0\u03b4\u03c5\u03bf \u03c3\u03c4\u03ae\u03bb\u03b5\u03c2,\u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ce\u03c4\u03b7 \u03c3\u03c4\u03ae\u03bb\u03b7 \u03b7 \u03b8\u03ad\u03c3\u03b7 \u03c3\u03c4\u03b7\u03bd \u03bf\u03c0\u03bf\u03af\u03b1 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03c3\u03c4\u03b5\u03af\u03bb\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03c1\u03ce\u03c4\u03b7 \u03ba\u03ac\u03c1\u03c4\u03b1 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd\u00a0\u00a0\u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03b1\u03c5\u03c4\u03ae \u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1.<\/p>\n<p><img data-attachment-id=\"55616\" data-permalink=\"https:\/\/omathimatikos.gr\/?attachment_id=55616\" data-orig-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?fit=600%2C459&amp;ssl=1\" data-orig-size=\"600,459\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"1\" data-image-description=\"\" data-image-caption=\"\" data-medium-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?fit=350%2C268&amp;ssl=1\" data-large-file=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?fit=523%2C400&amp;ssl=1\" decoding=\"async\" loading=\"lazy\" class=\"aligncenter size-large wp-image-55616\" src=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?resize=523%2C400&#038;ssl=1\" alt=\"\" width=\"523\" height=\"400\" srcset=\"https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?resize=523%2C400&amp;ssl=1 523w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?resize=350%2C268&amp;ssl=1 350w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?resize=150%2C115&amp;ssl=1 150w, https:\/\/i0.wp.com\/omathimatikos.gr\/wp-content\/uploads\/2022\/11\/1.png?w=600&amp;ssl=1 600w\" sizes=\"(max-width: 523px) 100vw, 523px\" data-recalc-dims=\"1\" \/><\/p>\n<p>\u03a0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03af\u03c0\u03bf\u03c4\u03b1; \u039f \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c3\u03c4\u03b7\u03bd \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03b7 \u03c3\u03c4\u03ae\u03bb\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 \u03b7 \u03b3\u03c1\u03b1\u03c6\u03ae \u03c4\u03bf\u03c5 \u03b1\u03bd\u03c4\u03af\u03c3\u03c4\u03bf\u03b9\u03c7\u03bf\u03c5 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ce\u03c4\u03b7 \u03c3\u03c4\u03ae\u03bb\u03b7 \u03c3\u03c4\u03bf \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1.<\/p>\n<p>\u0386\u03c1\u03b1, \u03b3\u03b9\u03b1 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b7\u03bd \u03ba\u03b1\u03c4\u03ac\u03bb\u03bb\u03b7\u03bb\u03b7 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03af\u03b1 \u03b1\u03bd\u03b1\u03ba\u03b1\u03c4\u03b5\u03bc\u03ac\u03c4\u03c9\u03bd \u03b1\u03c1\u03ba\u03b5\u03af \u03bd\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03be\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b8\u03ad\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03b5\u03bd\u03b4\u03b9\u03b1\u03c6\u03ad\u03c1\u03b5\u03b9 \u03bd\u03b1 \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03bf \u03ba\u03b1\u03b9 \u03bd\u03b1 \u03c4\u03b7\u03bd \u03bc\u03b5\u03c4\u03b1\u03c4\u03c1\u03ad\u03c8\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03bf \u03b4\u03c5\u03b1\u03b4\u03b9\u03ba\u03cc \u03c3\u03cd\u03c3\u03c4\u03b7\u03bc\u03b1.<\/p>\n<p>\u0397 \u03c4\u03b5\u03c7\u03bd\u03b9\u03ba\u03ae \u03b9\u03c3\u03c7\u03cd\u03b5\u03b9 \u03b3\u03b9\u03b1 \u03bf\u03c0\u03bf\u03b9\u03bf\u03b4\u03ae\u03c0\u03bf\u03c4\u03b5 \u03bc\u03ad\u03b3\u03b5\u03b8\u03bf\u03c2 \u03c4\u03c1\u03ac\u03c0\u03bf\u03c5\u03bb\u03b1\u03c2.<\/p>\n<p>\u03a4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9, \u03c4\u03b1 \u03b1\u03c0\u03ad\u03b4\u03b5\u03b9\u03be\u03b5 \u03c4o\u00a01983 \u03bf\u00a0Persi\u00a0Diakonis-\u03c0\u03b1\u03c4\u03c1\u03b9\u03c9\u03c4\u03ac\u03ba\u03b9 \u03b1\u03c0\u03cc \u03c4\u03bf \u03c0\u03b1\u03bd\u03b5\u03c0\u03b9\u03c3\u03c4\u03ae\u03bc\u03b9\u03bf \u03c4\u03bf\u03c5\u00a0Stanford-\u03c3\u03b5 \u03c3\u03c5\u03bd\u03b5\u03c1\u03b3\u03b1\u03c3\u03af\u03b1 \u03bc\u03b5 \u03ac\u03bb\u03bb\u03bf\u03c5\u03c2 \u03b4\u03c5\u03bf \u03b4\u03b9\u03b1\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03bf\u03c5\u03c2 \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03bf\u03cd\u03c2,<em>\u00a0<\/em><em>R,<\/em><em>L,<\/em><em>Graham,<\/em><em>William\u00a0<\/em><em>M.<\/em><em>Kantor<\/em>.\u03a4\u03bf\u03bd\u00a0Diakonis\u00a0\u03c4\u03bf\u03bd \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c5\u03bd\u03b1\u03bd\u03c4\u03ae\u03c3\u03b5\u03b9 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03bf \u03c0\u03b1\u03c1\u03b5\u03bb\u03b8\u03cc\u03bd (<a href=\"http:\/\/mathhmagic.blogspot.gr\/2014\/08\/blog-post_24.html\">http:\/\/mathhmagic.blogspot.gr\/2014\/08\/blog-post_24.html<\/a>\u00a0)<\/p>\n<p>\u039f\u03c0\u03cc\u03c4\u03b5, \u03c0\u03c9\u03c2 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03c4\u03bf \u03ba\u03cc\u03bb\u03c0\u03bf \u03c3\u03c4\u03bf \u03b2\u03af\u03bd\u03c4\u03b5\u03bf; \u03a4\u03bf \u03b8\u03cd\u03bc\u03b1 \u03b5\u03c0\u03b9\u03bb\u03ad\u03b3\u03b5\u03b9 \u03c4\u03bf \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03bf, \u03b5\u03bc\u03b5\u03af\u03c2 \u03c4\u03bf \u03b2\u03ac\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03ce\u03c4\u03bf \u03ba\u03b1\u03b9 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bc\u03b5 \u03c4\u03b7\u03bd \u03c0\u03b1\u03c1\u03b1\u03c0\u03ac\u03bd\u03c9 \u03bc\u03ad\u03b8\u03bf\u03b4\u03bf \u03bd\u03b1 \u03c4\u03bf \u03bc\u03b5\u03c4\u03b1\u03ba\u03b9\u03bd\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03cc\u03c0\u03bf\u03b9\u03b1 \u03b8\u03ad\u03c3\u03b7 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5.<\/p>\n<p><em>\u03a0\u03b5\u03c1\u03b1\u03b9\u03c4\u03ad\u03c1\u03c9 \u03b1\u03bd\u03b1\u03c6\u03bf\u03c1\u03ad\u03c2<\/em><\/p>\n<p><em>\u25aaThe mathematics of perfect shuffles,Persi\u00a0Diaconis, R,L,Graham,William M.Kantor,Advances in Applied mathematics 4,(1983)<\/em><\/p>\n<p><em>\u0397\u03bb\u03b5\u03ba\u03c4\u03c1\u03bf\u03bd\u03b9\u03ba\u03cc\u03c2 \u03c3\u03cd\u03bd\u03b4\u03b5\u03c3\u03bc\u03bf\u03c2:<\/em><\/p>\n<p><em><a href=\"https:\/\/www.slideshare.net\/gdoubos\/the-mathematics-of-perfect-shufflesperci-diaconis-rlgrahamwilliam-mkantoradvances-in-applied-mathematics-41983\">https:\/\/www.slideshare.net\/gdoubos\/the-mathematics-of-perfect-shufflesperci-diaconis-rlgrahamwilliam-mkantoradvances-in-applied-mathematics-41983<\/a><\/em><\/p>\n<p><em>\u039f\u00a0Diaconis\u00a0\u03bc\u03b5 \u03c4\u03bf\u03bd\u00a0Graham\u00a0\u03ad\u03b3\u03c1\u03b1\u03c8\u03b1\u03bd \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc \u03b2\u03b9\u03b2\u03bb\u03af\u03bf \u03c0\u03bf\u03c5 \u03c0\u03b1\u03c1\u03bf\u03c5\u03c3\u03b9\u03ac\u03b6\u03bf\u03c5\u03bd \u03bc\u03b1\u03b3\u03b9\u03ba\u03ac \u03c4\u03c1\u03b9\u03ba \u03bc\u03b5 \u03c4\u03c1\u03b1\u03c0\u03bf\u03c5\u03bb\u03cc\u03c7\u03b1\u03c1\u03c4\u03b1\u00a0\u00a0\u03bc\u03b1\u03b6\u03af\u00a0\u00a0\u03bc\u03b5 \u03c4\u03bf \u03c3\u03c7\u03b5\u03c4\u03b9\u03ba\u03cc \u03bc\u03b1\u03b8\u03b7\u03bc\u03b1\u03c4\u03b9\u03ba\u03cc \u03c5\u03c0\u03cc\u03b2\u03b1\u03b8\u03c1\u03bf:<\/em><\/p>\n<p><em>\u25aaMagical Mathematics:The Mathematical Ideas That Animate Great Magic Tricks,\u00a0\u03b5\u03ba\u03b4\u03cc\u03c3\u03b5\u03b9\u03c2\u00a0Princeton university press (2012)<\/em><\/p>\n<p><em>\u0394\u03b5\u03af\u03c4\u03b5 \u03ba\u03b1\u03b9 \u03c4\u03b1 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b2\u03af\u03bd\u03c4\u03b5\u03bf \u03bc\u03b5 \u03c4\u03bf\u03bd\u00a0<\/em><em>Diaconis<\/em><\/p>\n<p><iframe loading=\"lazy\" title=\"Shuffling Extra Footage (3\/3) - Persi Diaconis\" width=\"700\" height=\"394\" src=\"https:\/\/www.youtube.com\/embed\/RIGJH12vVCY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p><a href=\"https:\/\/youtu.be\/RIGJH12vVCY\">\u00a0<\/a><\/p>\n<p>\u03c0\u03b7\u03b3\u03ae: <a href=\"https:\/\/mathhmagic.blogspot.com\/2017\/08\/blog-post_25.html?fbclid=IwAR2CHUcOvNoniVuVYPXW3s-o5N_-N0SS9WxYDBsH7rwbl8YdVUijLAh6KII\">https:\/\/mathhmagic.blogspot.com<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":55619,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"footnotes":"","_jetpack_memberships_contains_paid_content":false,"jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","enabled":false}}},"categories":[33],"tags":[],"jetpack_publicize_connections":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v22.5 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