{"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\/ro\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematica \u0219i jocul \u201eSet\u201d","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Cine g\u0103se\u0219te aici un \u201eset\u201d, va primi de la mine o ciocolat\u0103.<\/i><\/p>\n<p>Setul este un joc genial \u00een care ne-am jucat acum vreo 5 ani. Strig\u0103te, urlete, fotografierea combina\u021biilor. <\/p>\n<p>\u00cen regulile jocului se spune c\u0103 a fost inventat \u00een 1991 de geneticianul Marsha Falco, care lua note \u00een timpul studiului epilepsiei la c\u00e2inii ciob\u0103ne\u0219ti germani \u00een 1974. Pentru cei ale c\u0103ror min\u021bi sunt suficient de epuizate de matematic\u0103, dup\u0103 un timp apare suspiciunea c\u0103 exist\u0103 unele ecouri de planimetrie \u0219i de trasare a dreptei prin puncte. (Pentru dou\u0103 c\u0103r\u021bi date, exist\u0103 o singur\u0103 carte care face parte din acela\u0219i set.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco parc\u0103 \u00eentreab\u0103: \u201eEi bine, nu ai g\u0103sit 'setul'?\u201d<\/i><\/p>\n<h3>S\u0103 ne amintim regulile<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSetul este un joc de c\u0103r\u021bi. Fiecare carte are patru parametrii, fiecare av\u00e2nd trei valori (\u00een total 3 x 3 \u00d7 3 \u00d7 3 = 81 de c\u0103r\u021bi). <\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTipurile \u0219i valorile parametrilor sunt:<\/p>\n<ul>\n<li>figur\u0103 ::= elips\u0103 | romb | \u201es\u00e2rm\u0103\u201d<\/li>\n<li>culoare ::= ro\u0219u | verde | violet<\/li>\n<li>umplutur\u0103 ::= alb\u0103 | dungi | plin\u0103<\/li>\n<li>num\u0103r ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Scopul jocului<\/b> const\u0103 \u00een a g\u0103si combina\u021bii speciale din trei c\u0103r\u021bi. Trei c\u0103r\u021bi se numesc \u201eset\u201d dac\u0103 pentru fiecare dintre cei patru atribute ale c\u0103r\u021bii fie sunt toate identice, fie <i>tot<\/i> sunt diferite.<\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nCu alte cuvinte, se poate spune c\u0103 trei c\u0103r\u021bi nu vor forma un set dac\u0103 dou\u0103 dintre c\u0103r\u021bi au o valoare comun\u0103 a unui parametru, iar a treia are o valoare diferit\u0103. Se poate observa c\u0103 pentru orice dou\u0103 c\u0103r\u021bi \u00eentotdeauna se va g\u0103si o a treia (\u00eentr-adev\u0103r unic\u0103) cu care s\u0103 formeze un set.<\/p>\n<p><b>Mersul jocului:<\/b> liderul \u00eentinde pe mas\u0103 12 c\u0103r\u021bi. C\u00e2nd cineva g\u0103se\u0219te un set, strig\u0103 \u201eSet!\u201d \u0219i apoi ia calm c\u0103r\u021bile care formeaz\u0103 setul. Dac\u0103 \u00eens\u0103 \u00een c\u0103r\u021bile \u00eentinse nu exist\u0103 un set (cel mai probabil doar pare c\u0103 nu exist\u0103), liderul \u00eentinde \u00eenc\u0103 trei c\u0103r\u021bi.<\/p>\n<p>Num\u0103rul maxim de c\u0103r\u021bi f\u0103r\u0103 set este de 20. Runda continu\u0103 p\u00e2n\u0103 c\u00e2nd pachetul s-a terminat. Cine a adunat cele mai multe seturi c\u00e2\u0219tig\u0103.<\/p>\n<p>Matematicienii s-au pus pe treab\u0103 \u0219i au prezentat o combina\u021bie de 20 de c\u0103r\u021bi. Cei care se consider\u0103 Chuck Norris pot uita aceast\u0103 imagine \u0219i \u00eencerca s\u0103 adune \u201esolitaire\u201d f\u0103r\u0103 set pe cont propriu.<br \/>\nSau pot verifica, poate totu\u0219i exist\u0103 un \u201eset\u201d aici?<\/p>\n<h3>20 de c\u0103r\u021bi f\u0103r\u0103 set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Este u\u0219or de verificat c\u0103 nu exist\u0103 \u201eset\u201d dup\u0103 culoare.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Acelea\u0219i c\u0103r\u021bi, dar aranjarea arat\u0103 c\u0103 nu exist\u0103 seturi dup\u0103 parametru \u201eumplutur\u0103\u201d.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Dup\u0103 num\u0103r.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Dup\u0103 forme.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematica \u0219i jocul \u201eSet\u201d\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Nu exist\u0103 seturi dup\u0103 diferen\u021ba caracteristicilor.<\/i><\/p>\n<h3>O problem\u0103 deschis\u0103 nerezolvat\u0103 a matematicii<\/h3>\n<p>\nCare este num\u0103rul maxim de c\u0103r\u021bi care pot fi a\u0219ezate pentru a nu forma niciun \"set\"? Un atribut are trei valori.<\/p>\n<p>cu 1 \u201eatribut\u201d \u2014 2 c\u0103r\u021bi<br \/>\n2 atribute \u2014 4 c\u0103r\u021bi<br \/>\n3 atribute \u2014 9 c\u0103r\u021bi<br \/>\n4 atribute \u2014 20 c\u0103r\u021bi<br \/>\n5 atribute \u2014 45 c\u0103r\u021bi<br \/>\n6 atribute \u2014 112 c\u0103r\u021bi<br \/>\n7 atribute \u2014 <i>nu \u0219tiu<\/i><\/p>\n<p>Dar c\u00e2nd \u201en\u2192\u221e\u201d?<\/p>\n<h3>Video<\/h3>\n<p>\nCreatorul jocului:<\/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=\"Reda\u021bi video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAlexey Savvateev poveste\u0219te cu umor despre Set:<\/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=\"Reda\u021bi 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>Articole<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">DESPRE COMPLEXITATEA JOCULUI SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Probabilit\u0103\u021bile SET-ului reanalizate<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">JOCUL DE C\u0102R\u021aI 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\">Matematica jocului de c\u0103r\u021bi Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>Sursa: <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 5.0.2.1 - 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\" 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