{"id":35193,"date":"2019-10-31T22:02:53","date_gmt":"2019-10-31T19:02:53","guid":{"rendered":"https:\/\/prohoster.info\/blog\/matematika-i-igra-set\/"},"modified":"2019-10-31T22:02:53","modified_gmt":"2019-10-31T19:02:53","slug":"matematika-i-igra-set","status":"publish","type":"post","link":"https:\/\/prohoster.info\/cs\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematika a hra \u201eSet\u201c","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Kdo tu najde \"set\", dostane ode m\u011b \u010dokol\u00e1du.<\/i><\/p>\n<p>Set je geni\u00e1ln\u00ed hra, do kter\u00e9 jsme se pustili p\u0159ed p\u011bti lety. V\u00fdk\u0159iky, k\u0159ik, fotografov\u00e1n\u00ed kombinac\u00ed. <\/p>\n<p>V pravidlech hry se p\u00ed\u0161e, \u017ee ji v roce 1991 vymyslela geneti\u010dka Marsha Falco, kter\u00e1 si d\u011blala pozn\u00e1mky p\u0159i v\u00fdzkumu epilepsie u n\u011bmeck\u00fdch ov\u010d\u00e1k\u016f v roce 1974. Pro ty, jejich\u017e mozek je dost unaven\u00fd matematikou, se po n\u011bjak\u00e9 dob\u011b vyno\u0159\u00ed podez\u0159en\u00ed, \u017ee tady mohou b\u00fdt n\u011bjak\u00e9 ozv\u011bny z planimetrie a vytv\u00e1\u0159en\u00ed p\u0159\u00edmek p\u0159es body. (Pro dv\u011b dan\u00e9 karty existuje jedna a pouze jedna karta, kter\u00e1 s nimi tvo\u0159\u00ed set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco se jakoby pt\u00e1: \"No co, nena\u0161el jsi 'set'?\"<\/i><\/p>\n<h3>P\u0159ipom\u00edn\u00e1me pravidla<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet je karetn\u00ed hra. V\u0161echny karty maj\u00ed \u010dty\u0159i parametry, z nich\u017e ka\u017ed\u00fd m\u016f\u017ee nab\u00fdvat t\u0159\u00ed hodnot (tak\u017ee celkem 3 x 3 x 3 x 3 = 81 karet). <\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nDruhy a hodnoty parametr\u016f jsou n\u00e1sleduj\u00edc\u00ed:<\/p>\n<ul>\n<li>tvar ::= elipsa | koso\u010dtverec | \"sliz\"<\/li>\n<li>barva ::= \u010derven\u00e1 | zelen\u00e1 | fialov\u00e1<\/li>\n<li>v\u00fdpl\u0148 ::= b\u00edl\u00e1 | pruhovan\u00e1 | pln\u00e1<\/li>\n<li>mno\u017estv\u00ed ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>C\u00edl hry<\/b> spo\u010d\u00edv\u00e1 v nalezen\u00ed zvl\u00e1\u0161tn\u00edch kombinac\u00ed ze t\u0159\u00ed karet. T\u0159i karty se naz\u00fdvaj\u00ed \"set\", pokud jsou ve v\u0161ech \u010dty\u0159ech atributech bu\u010f v\u0161echny stejn\u00e9, nebo <i>v\u0161echny<\/i> r\u016fzn\u00e9.<\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nJin\u00fdmi slovy lze \u0159\u00edct, \u017ee t\u0159i karty nebudou tvo\u0159it set, pokud maj\u00ed dv\u011b karty stejn\u00e9 hodnoty parametru a t\u0159et\u00ed jinou. Je z\u0159ejm\u00e9, \u017ee pro jak\u00e9koli dv\u011b karty v\u017edy existuje t\u0159et\u00ed (v\u017edy jedine\u010dn\u00e1), se kterou budou tvo\u0159it set.<\/p>\n<p><b>Pr\u016fb\u011bh hry:<\/b> vedouc\u00ed vylo\u017e\u00ed na st\u016fl 12 karet. Kdy\u017e n\u011bkdo najde set, zak\u0159i\u010d\u00ed 'Set!' a pot\u00e9 si v klidu vezme karty, kter\u00e9 tvo\u0159\u00ed set. Pokud na vylo\u017een\u00fdch kart\u00e1ch nen\u00ed set (v\u011bt\u0161inou se to jen zd\u00e1), vedouc\u00ed vylo\u017e\u00ed dal\u0161\u00ed t\u0159i karty.<\/p>\n<p>Maxim\u00e1ln\u00ed po\u010det karet bez setu je 20. Kolo pokra\u010duje, dokud se nevy\u010derp\u00e1 bal\u00ed\u010dek. Vyhr\u00e1v\u00e1 ten, kdo nasb\u00edral v\u00edce set\u016f.<\/p>\n<p>Matematici se zamysleli a p\u0159edstavili kombinaci 20 karet. Kdo se c\u00edt\u00ed jako Chuck Norris, m\u016f\u017ee na tuto obr\u00e1zek zapomenout a pokusit se sestavit 'solit\u00e9r' bez setu s\u00e1m.<br \/>\nNebo si ov\u011b\u0159it, jestli p\u0159ece jen existuje 'set'?<\/p>\n<h3>20 karet bez setu<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Je pohodln\u00e9 zkontrolovat, \u017ee zde nen\u00ed 'set podle barvy'.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Stejn\u00e9 karty, ale uspo\u0159\u00e1d\u00e1n\u00ed ukazuje, \u017ee zde nejsou sety podle parametru 'v\u00fdpl\u0148'.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Podle mno\u017estv\u00ed.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Podle tvar\u016f.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematika a hra \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>\u017d\u00e1dn\u00fd set podle rozd\u00edl\u016f v znac\u00edch.<\/i><\/p>\n<h3>Otev\u0159en\u00fd nevy\u0159e\u0161en\u00fd probl\u00e9m matematiky<\/h3>\n<p>\nKolik maxim\u00e1ln\u011b lze vylo\u017eit karet, aby nevznikla ani jedna \u201esada\u201c? Ukazatel m\u00e1 t\u0159i hodnoty.<\/p>\n<p>p\u0159i 1 \u201eukazateli\u201c \u2014 2 karty<br \/>\n2 ukazatele \u2014 4 karty<br \/>\n3 ukazatele \u2014 9 karet<br \/>\n4 ukazatele \u2014 20 karet<br \/>\n5 ukazatel\u016f \u2014 45 karet<br \/>\n6 ukazatel\u016f \u2014 112 karet<br \/>\n7 ukazatel\u016f \u2014 <i>nev\u00edme<\/i><\/p>\n<p>A p\u0159i \u201en\u2192\u221e\u201c?<\/p>\n<h3>Video<\/h3>\n<p>\nTv\u016frce hry:<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"7AeEr9QtDF0\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/7AeEr9QtDF0\/hqdefault.jpg\" alt=\"P\u0159ehr\u00e1t video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAlexej Savvatejev s humorem vypr\u00e1v\u00ed o Se\u0165\u011b:<\/p>\n<p><center><div class=\"youtube-placeholder\" data-id=\"vwIO-kzvY5Q\" onclick=\"loadVideo(this)\">\r\n        <img decoding=\"async\" src=\"https:\/\/img.youtube.com\/vi\/vwIO-kzvY5Q\/hqdefault.jpg\" alt=\"P\u0159ehr\u00e1t video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><\/p>\n<h3>\u010cl\u00e1nky<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">O SLO\u017dITOSTI HRY SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Pravd\u011bpodobnosti SETU znovu prozkouman\u00e9<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">KARETN\u00cd HRA SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/digitalcommons.ric.edu\/cgi\/viewcontent.cgi?referer=&amp;httpsredir=1&amp;article=1094&amp;context=honors_projects\">Matematika karetn\u00ed hry Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Zdroj: <a content=\"nofollow\" rel=\"nofollow\" href=\"https:\/\/habr.com\/ru\/post\/455634\/\">habr.com<\/a><\/p>","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. \u0421\u0435\u0442 \u2014 \u0433\u0435\u043d\u0438\u0430\u043b\u044c\u043d\u0430\u044f \u0438\u0433\u0440\u0430 \u0432 \u043a\u043e\u0442\u043e\u0440\u0443\u044e \u043c\u044b \u0440\u0443\u0431\u0438\u043b\u0438\u0441\u044c \u043b\u0435\u0442 5 \u043d\u0430\u0437\u0430\u0434. \u041a\u0440\u0438\u043a\u0438, \u0432\u043e\u043f\u043b\u0438, \u0444\u043e\u0442\u043e\u0433\u0440\u0430\u0444\u0438\u0440\u043e\u0432\u0430\u043d\u0438\u0435 \u043a\u043e\u043c\u0431\u0438\u043d\u0430\u0446\u0438\u0439. \u0412 \u043f\u0440\u0430\u0432\u0438\u043b\u0430\u0445 \u0438\u0433\u0440\u044b \u043d\u0430\u043f\u0438\u0441\u0430\u043d\u043e, \u0447\u0442\u043e \u0435\u0435 \u0438\u0437\u043e\u0431\u0440\u0435\u043b\u0430 \u0432 1991 \u0433\u043e\u0434\u0443 \u0433\u0435\u043d\u0435\u0442\u0438\u043a \u041c\u0430\u0440\u0448\u0430 \u0424\u0430\u043b\u043a\u043e (Marsha Falco), \u0434\u0435\u043b\u0430\u044f \u043f\u043e\u043c\u0435\u0442\u043a\u0438 \u0432\u043e \u0432\u0440\u0435\u043c\u044f \u0438\u0441\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f \u044d\u043f\u0438\u043b\u0435\u043f\u0441\u0438\u0438 \u0443 \u043d\u0435\u043c\u0435\u0446\u043a\u0438\u0445 \u043e\u0432\u0447\u0430\u0440\u043e\u043a \u0432 1974 \u0433\u043e\u0434\u0443. \u0414\u043b\u044f \u0442\u0435\u0445, \u0443 \u043a\u043e\u0433\u043e \u043c\u043e\u0437\u0433 [&hellip;]<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":26448,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[702],"tags":[],"class_list":["post-35193","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-news"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.3 - aioseo.com -->\n\t<meta name=\"description\" content=\"\u041a\u0442\u043e \u043d\u0430\u0439\u0434\u0435\u0442 \u0442\u0443\u0442 \u00ab\u0441\u0435\u0442\u00bb, \u043f\u043e\u043b\u0443\u0447\u0438\u0442 \u043e\u0442 \u043c\u0435\u043d\u044f \u0448\u043e\u043a\u043e\u043b\u0430\u0434\u043a\u0443. .\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"Yuri Gagarin\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/prohoster.info\/cs\/blog\/news\/matematika-i-igra-set\" 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