{"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\/et\/blog\/news\/matematika-i-igra-set","title":{"rendered":"Matemaatika ja m\u00e4ng \u00abSet\u00bb","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Kes siit \u00abseti\u00bb leiab, saab minult \u0161okolaadi.<\/i><\/p>\n<p>Set on geniaalne m\u00e4ng, millega me m\u00e4ngisime umbes 5 aastat tagasi. H\u00fc\u00fcded, kisendid, kombinatsioonide pildistamine. <\/p>\n<p>M\u00e4ngureeglites on kirjutatud, et selle leiutas 1991. aastal geneetika Marsha Falco, tehes m\u00e4rkmeid 1974. aastal saksa lambakoerte epilepsia uurimise ajal. Neile, kelle aju on matemaatikast piisavalt kurnatud, tekib mingi aja p\u00e4rast kahtlus, et siin on mingeid kajasid tasandi geomeetriast ja punktide kaudu joonte t\u00f5mbamisest. (Kaks antud kaarti moodustavad ainult \u00fche ja ainukese kaardi, mis koos nendega \u00abseti\u00bb kuulub.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco k\u00fcsib justkui: \u00abNo, ei leidnud sa<\/i><\/p>\n<h3>Kordame reegleid<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet on kaartide m\u00e4ng. K\u00f5ikidel kaartidel on neli parameetrit, millest iga\u00fchel on kolm v\u00e4\u00e4rtust (kokku 3 x 3 \u00d7 3 \u00d7 3 = 81 kaarti). <\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/75978b83104a01c548f251065470af2a.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nParameetrite t\u00fc\u00fcbid ja v\u00e4\u00e4rtused on j\u00e4rgmised:<\/p>\n<ul>\n<li>kuju ::= ellips | romb | \u00abmoodustis\u00bb<\/li>\n<li>v\u00e4rv ::= punane | roheline | lilla<\/li>\n<li>t\u00e4ide ::= valge | triibuline | t\u00e4ispaneel<\/li>\n<li>kogus ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>M\u00e4ngu eesm\u00e4rk<\/b> on leida erilisi kombinatsioone kolmest kaardist. Kolm kaarti nimelt \u00abset\u00bb, kui iga nelja omaduse t\u00f5ttu on kas k\u00f5ik samad v\u00f5i <i>k\u00f5ik<\/i> erinevad.<\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTeisis\u00f5nu v\u00f5ib \u00f6elda, et kolm kaarti ei moodusta seti, kui kahel kaardil on sama parameetri v\u00e4\u00e4rtus, ent kolmandal on teine. V\u00f5ime n\u00e4ha, et igale kahest kaardist on alati olemas kolmas (ja ainus), millega nad moodustavad seti.<\/p>\n<p><b>M\u00e4ngu k\u00e4ik:<\/b> m\u00e4ngujuht asetab lauale 12 kaarti. Kui keegi leiab seti, karjub ta \u00abSet!\u00bb ja v\u00f5tab siis rahulikult selle seti kaardid endale. Kui laual esitatud kaartides ei ole seti (t\u00f5en\u00e4oliselt tundub lihtsalt, et ei ole), asetab m\u00e4ngujuht veel kolm kaarti.<\/p>\n<p>Maksimaalne kaartide arv ilma setita on 20. Voor j\u00e4tkub, kuni kaardipakk otsa saab. V\u00f5idab see, kes sai rohkem sete.<\/p>\n<p>Matemaatikud panid kokku kombinatsiooni 20 kaardist. Kes arvab end olevat Chuck Norris, v\u00f5ib selle pildi unustada ja proovida iseseisvalt kokku panna \u00abpahasid\u00bb ilma setita.<br \/>\nV\u00f5i kontrollida, \u00e4kki on siin ikkagi \u00abset\u00bb?<\/p>\n<h3>20 kaarti ilma setita<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Mugav on kontrollida, et \u00abseti v\u00e4rv\u00bb ei ole olemas.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Samad kaardid, kuid paigutus n\u00e4itab, et \u00absete\u00bb pole aluselt \u00abt\u00e4ite\u00bb parameetri t\u00f5ttu.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Koguse j\u00e4rgi.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Kujude j\u00e4rgi.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u00abSet\u00bb\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Ei ole seti erinevate tunnuste j\u00e4rgi.<\/i><\/p>\n<h3>Avatud lahendamata matemaatika\u00fclesanne<\/h3>\n<p>\nKui palju kaarte saab maksimum v\u00e4lja panna, et ei tekiks \u00fchtegi \u201eseti\u201d? N\u00e4itajal on kolm v\u00e4\u00e4rtust.<\/p>\n<p>1 \u201en\u00e4itaja\u201d \u2014 2 kaarti<br \/>\n2 n\u00e4itajat \u2014 4 kaarti<br \/>\n3 n\u00e4itajat \u2014 9 kaarti<br \/>\n4 n\u00e4itajat \u2014 20 kaarti<br \/>\n5 n\u00e4itajat \u2014 45 kaarti<br \/>\n6 n\u00e4itajat \u2014 112 kaarti<br \/>\n7 n\u00e4itajat \u2014 <i>ei tea<\/i><\/p>\n<p>Aga kui \u201en\u2192\u221e\u201d?<\/p>\n<h3>Video<\/h3>\n<p>\nM\u00e4ngu looja:<\/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=\"M\u00e4ngi videot\" loading=\"lazy\" width=\"480\" height=\"360\" style=\"width:100%;height:auto;\">\r\n        <div class=\"play-button\"><\/div>\r\n    <\/div><\/center><br \/>\nAleksei Savvatejev r\u00e4\u00e4gib meeleolukalt Set'ist:<\/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=\"M\u00e4ngi videot\" 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>Artiklid<\/h3>\n<p><\/p>\n<ul>\n<li><noindex><a rel=\"nofollow\" href=\"http:\/\/pbg.cs.illinois.edu\/papers\/set.pdf\">M\u00e4ngu Set keerukus<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">Seti t\u00f5en\u00e4osused uuesti vaadatuna<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">Kaardim\u00e4ng 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\">Kaardim\u00e4ngu Set matemaatika<\/a><\/noindex><\/li>\n<\/ul>\n<p>Allikas: <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 5.0.1.1 - 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\" href=\"https:\/\/prohoster.info\/et\/blog\/news\/matematika-i-igra-set\" 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