{"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\/sv\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matematik och spelet \"Set\"","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Den som hittar en \"set\" h\u00e4r f\u00e5r en chokladbit av mig.<\/i><\/p>\n<p>Set \u00e4r ett genialiskt spel som vi spelade f\u00f6r cirka 5 \u00e5r sedan. Skrik, tjut, fotografering av kombinationer. <\/p>\n<p>I spelets regler st\u00e5r det att det uppfanns 1991 av genetiker Marsha Falco (Marsha Falco), som gjorde anteckningar under sin forskning om epilepsi hos tyska sch\u00e4frar 1974. F\u00f6r dem vars hj\u00e4rnor \u00e4r tillr\u00e4ckligt utmattade av matematiken v\u00e4xer det en misstanke \u00f6ver tid om att det finns ekon av planimetrin och att dra linjer genom punkter. (F\u00f6r tv\u00e5 givna kort finns det precis ett kort som ing\u00e5r i samma set med dem.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco fr\u00e5gar lite: \"Hittade du ingen 'set'?\"<\/i><\/p>\n<h3>Vi minns reglerna<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet \u00e4r ett kortspel. Alla kort har fyra parametrar, var och en kan ta tre v\u00e4rden (totalt 3 x 3 \u00d7 3 \u00d7 3 = 81 kort). <\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTyper och betydelse av parametrarna \u00e4r f\u00f6ljande:<\/p>\n<ul>\n<li>figur ::= ellips | romb | \"snor\"<\/li>\n<li>f\u00e4rg ::= r\u00f6d | gr\u00f6n | lila<\/li>\n<li>fyllning ::= vit | randig | solid<\/li>\n<li>antal ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>Spelets m\u00e5l<\/b> \u00e4r att hitta speciella kombinationer av tre kort. Tre kort kallas \"set\" om alla fyra attributen f\u00f6r korten \u00e4r antingen alla lika eller <i>alla<\/i> olika.<\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nMed andra ord kan man s\u00e4ga att tre kort inte utg\u00f6r ett set om tv\u00e5 kort har samma v\u00e4rde f\u00f6r en parameter, medan det tredje har ett annat. Det g\u00e5r att se att det alltid finns ett tredje kort (och det \u00e4r unikt) f\u00f6r vilka tv\u00e5 kort alltid kommer att vara ett set.<\/p>\n<p><b>Spelets g\u00e5ng:<\/b> ledaren l\u00e4gger ut 12 kort p\u00e5 bordet. N\u00e4r n\u00e5gon hittar ett set ropar de \"Set!\" och tar sedan lugnt de kort som utg\u00f6r setet. Om det inte finns n\u00e5got set bland de utlagda korten (det verkar oftast s\u00e5), l\u00e4gger ledaren ut ytterligare tre kort.<\/p>\n<p>Det maximala antalet kort utan set \u00e4r 20. Rundan forts\u00e4tter tills hela kortleken \u00e4r slut. Den som har samlat flest set vinner.<\/p>\n<p>Matematikerna st\u00e4llde samman en kombination av 20 kort. Den som ser sig sj\u00e4lv som Chuck Norris kan gl\u00f6mma bilden och f\u00f6rs\u00f6ka l\u00e4gga \"patiens\" utan set sj\u00e4lv.<br \/>\nEller kontrollera om det faktiskt finns en \"set\" h\u00e4r?<\/p>\n<h3>20 kort utan set<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Det \u00e4r bekv\u00e4mt att kontrollera om det inte finns n\u00e5got set baserat p\u00e5 f\u00e4rg.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Samma kort, men placeringen visar att det inte finns n\u00e5gra set p\u00e5 parametern \"fyllning\".<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Baserat p\u00e5 antal.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Baserat p\u00e5 figurer.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matematik och spelet &quot;Set&quot;\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Det finns inget set baserat p\u00e5 skillnaden mellan egenskaper.<\/i><\/p>\n<h3>\u00d6ppen ol\u00f6st matematikfr\u00e5ga<\/h3>\n<p>\nHur m\u00e5nga kort kan man maximalt l\u00e4gga ut utan att f\u00e5 en enda \"set\"? K\u00e4nnetecknet har tre v\u00e4rden.<\/p>\n<p>med 1 \"k\u00e4nnetecken\" \u2013 2 kort<br \/>\n2 k\u00e4nnetecken \u2013 4 kort<br \/>\n3 k\u00e4nnetecken \u2013 9 kort<br \/>\n4 k\u00e4nnetecken \u2013 20 kort<br \/>\n5 k\u00e4nnetecken \u2013 45 kort<br \/>\n6 k\u00e4nnetecken \u2013 112 kort<br \/>\n7 k\u00e4nnetecken \u2013 <i>vet inte<\/i><\/p>\n<p>Och vid \"n\u2192\u221e\"?<\/p>\n<h3>Video<\/h3>\n<p>\nSpelets skapare:<\/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=\"Spela video\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAleksej Savvateev ber\u00e4ttar p\u00e5 ett lysande s\u00e4tt om 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=\"Spela 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>Artiklar<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">OM SPELETS KOMPLEXITET AV SET<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">SET Sannolikheter \u00c5terbes\u00f6kta<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">KORTSPELET 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\">Matematiken bakom kortspelet Set<\/a><\/noindex><\/li>\n<\/ul>\n<p>K\u00e4lla: <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 5.0.4 - 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\/sv\/blog\/news\/matematika-i-igra-set\" 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