{"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\/novosti-interneta\/matematika-i-igra-set","title":{"rendered":"Matemaatika ja m\u00e4ng \u201eSet\u201c","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/310b9e73ac15cf3185a7e060ad36dca8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Kes leiab siit \u00abset\u00bb, saab minult \u0161okolaadi.<\/i><\/p>\n<p>Set on geniaalne m\u00e4ng, millega me m\u00e4ngisime umbes 5 aastat tagasi. Karjed, \u00fcksteise v\u00e4lja vedamine, kombinatsioonide pildistamine. <\/p>\n<p>M\u00e4ngureeglites on kirjas, et selle l\u00f5i 1991. aastal geneetik Marsha Falco (Marsha Falco), tehes m\u00e4rkmeid saksa lampakoerte epilepsia uurimise ajal 1974. aastal. Neile, kelle aju on matemaatikast piisavalt kurnatud, tekib mingi hetk kahtlus, et siin on mingeid k\u00f5lakaid geomeetriast ja sirgete joonte juhtimisest punktide kaudu. (Kahte antud kaartide vahel on \u00fcks ja ainult \u00fcks kaart, mis koos nendega moodustab \u00fche seti.)<br \/>\n<noindex><a rel=\"nofollow\" name=\"habracut\"><\/a><\/noindex><br \/>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/33cc906d4936e3fa25238ba28c6fcfe7.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Marsha Falco k\u00fcsib nagu: \u00abNo mis, ei leidnud \u201eseti\u201c?\u00bb<\/i><\/p>\n<h3>Tuletame meelde reeglid<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/31a494ebd8dbccd27454d46d3c0e3ec8.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\nSet on kaardim\u00e4ng. K\u00f5igil kaartidel on neli parameetrit, millest iga\u00fchel on kolm v\u00e4\u00e4rtust (kokku 3 x 3 \u00d7 3 \u00d7 3 = 81 kaart). <\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" 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 ::= ell-\u0438ips | romb | \u201esoputus\u201c<\/li>\n<li>v\u00e4rv ::= punane | roheline | lilla<\/li>\n<li>t\u00e4itmine ::= valge | triibuline | \u00fchtlane<\/li>\n<li>kogus ::= 1 | 2 | 3<\/li>\n<\/ul>\n<p>\n<b>M\u00e4ngu eesm\u00e4rk<\/b> koostub kolmest kaardist, millel on erilised kombinatsioonid. Kolme kaarti nimetatakse \"setiks\", kui igas neljas omaduses on kas k\u00f5ik identsed v\u00f5i <i>k\u00f5ik<\/i> erinevad.<\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/004f2a2bdc76f6952c078c5f51415484.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\nTeisis\u00f5nu, kui kaks kaarti jagavad sama v\u00e4\u00e4rtust ning kolmas kaart on erineva parameetriga, siis ei loeta kolme kaart setiks. Alati leidub m\u00f5lema kaardi jaoks kolmas (ainus), millega nad moodustavad seti.<\/p>\n<p><b>M\u00e4ngu k\u00e4ik:<\/b> juhendaja paneb lauale 12 kaarti. Kui keegi leiab seti, h\u00f5ikab ta \"Set!\" ja p\u00e4rast seda v\u00f5tab rahulikult seti moodustavad kaardid. Kui v\u00e4lja pandud kaartides seti ei ole (t\u00f5en\u00e4oliselt tundub, et ei ole), paneb juhendaja lauale veel kolm kaarti.<\/p>\n<p>Maksimaalne kaartide arv ilma setita on 20. Voor kestab, kuni kaardipakk on otsas. V\u00f5idab see, kes on kogunud rohkem sete.<\/p>\n<p>Matemaatikud on vaeva n\u00e4inud ja esitanud kombinatsiooni 20 kaardist. Kes arvab end olevat Chuck Norris, v\u00f5ib unustada selle pildi ja proovida ise \u201epasianssi\u201d koos setita kokku panna.<br \/>\nV\u00f5i kontrollida, kas siin on ikkagi \"set\"?<\/p>\n<h3>20 kaarti ilma setita<\/h3>\n<p>\n<img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/0e939d2d5ac475941ac6cc798d99ec5f.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<i>Mugav on kontrollida, et ei ole \u201esetti v\u00e4rvi j\u00e4rgi.\u201d<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/914b852fe424faf4bc06230d8e110b8d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Sama kaardid, kuid paigutus n\u00e4itab, et seitsmeid ei ole omaduse \u201et\u00e4itmise\u201d alusel.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/70cc65fab552c5215ce9c6d5342d9bc9.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Arvude kaupa.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/548664a37ac483a166b0f33f8bdd941d.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Kujude kaupa.<\/i><\/p>\n<p><img decoding=\"async\" alt=\"Matemaatika ja m\u00e4ng \u201eSet\u201c\" src=\"\/wp-content\/uploads\/2019\/06\/418a8252c7d4d182087c3e667f4c491b.jpeg\" style=\"display:block;margin: 0 auto;\" \/><br \/>\n<br \/>\n<i>Seitsmeid ei ole ilmingute erinevuste alusel.<\/i><\/p>\n<h3>Avatud lahendamata matemaatika probleem.<\/h3>\n<p>\nKui palju maksimaalselt kaarte saab panna, et mitte saada \u00fchtegi \u201eseitsme\u201d komplekti? Omadusel on kolm v\u00e4\u00e4rtust.<\/p>\n<p>1 \u201eomaduse\u201d puhul \u2014 2 kaarti.<br \/>\n2 omadust \u2014 4 kaarti.<br \/>\n3 omadust \u2014 9 kaarti.<br \/>\n4 omadust \u2014 20 kaarti.<br \/>\n5 omadust \u2014 45 kaarti.<br \/>\n6 omadust \u2014 112 kaarti.<br \/>\n7 omadust \u2014 <i>ei tea.<\/i><\/p>\n<p>Aga kui \u201en\u2192\u221e\u201c?<\/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=\"Vaata 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 vaimukalt m\u00e4ngust Seitsmed:<\/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=\"Vaata 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\u00c4NGU SEITSME KOMPLEKSI KOMPLEKSUS<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/henrikwarne.com\/2011\/09\/30\/set-probabilities-revisited\/\">SEITSE probabiliteedid taasvaadatud<\/a><\/noindex><\/li>\n<li><noindex><a rel=\"nofollow\" href=\"https:\/\/homepages.warwick.ac.uk\/staff\/D.Maclagan\/papers\/set.pdf\">KAARDIM\u00c4NG SEITSE<\/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\">Seitsme kaardim\u00e4ngu 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-novosti-interneta"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 5.0.0.1 - 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. \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 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Seitsmed \u2014 geniaalne m\u00e4ng, millega me m\u00e4ngisime viis aastat tagasi. H\u00e4daldamine, kisendamine, kombinatsioonide pildistamine. M\u00e4ngureeglites on kirjutatud, et selle leiutas 1991. aastal geneetik Marsha Falco, tehes m\u00e4rkmeid epilepsia uurimisel Saksamaa lambakoertel 1974. aastal. 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