{"id":1109,"date":"2023-07-27T15:21:30","date_gmt":"2023-07-27T15:21:30","guid":{"rendered":"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/"},"modified":"2023-07-27T15:21:30","modified_gmt":"2023-07-27T15:21:30","slug":"cosinus-podobienstwo-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/","title":{"rendered":"Jak obliczy\u0107 podobie\u0144stwo cosinus w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Podobie\u0144stwo cosinusowe<\/strong> jest miar\u0105 podobie\u0144stwa mi\u0119dzy dwoma wektorami przestrzeni iloczynu wewn\u0119trznego.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dla dw\u00f3ch wektor\u00f3w A i B podobie\u0144stwo cosinus oblicza si\u0119 w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Cosinus podobie\u0144stwo<\/strong> = \u03a3A <sub>i<\/sub> B <sub>i<\/sub> \/ (\u221a\u03a3A <sub>i<\/sub> <sup>2<\/sup> \u221a\u03a3B <sub>i<\/sub> <sup>2<\/sup> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">W tym samouczku wyja\u015bniono, jak obliczy\u0107 podobie\u0144stwo cosinus mi\u0119dzy wektorami w R przy u\u017cyciu funkcji <strong>cosinus()<\/strong> z biblioteki <strong>lsa<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Podobie\u0144stwo cosinusowe mi\u0119dzy dwoma wektorami w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 podobie\u0144stwo cosinus mi\u0119dzy dwoma wektorami w R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(lsa)<\/span>\n<\/span><\/span>\n<span style=\"color: #008080;\">#definevectors\n<\/span>a &lt;- c(23, 34, 44, 45, 42, 27, 33, 34)\nb &lt;- c(17, 18, 22, 26, 26, 29, 31, 30)\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cosine(a, b)\n\n         [,1]\n[1,] 0.965195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cosinus podobie\u0144stwa mi\u0119dzy dwoma wektorami wynosi <strong>0,965195<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cosinus podobie\u0144stwa macierzy w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak obliczy\u0107 podobie\u0144stwo cosinus mi\u0119dzy macierz\u0105 wektor\u00f3w:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #107d3f;\"><span style=\"color: #993300;\">library<\/span> <span style=\"color: #000000;\">(lsa)\n<\/span><\/span><\/span>\n<span style=\"color: #008080;\">#define matrix\n<\/span>a &lt;- c(23, 34, 44, 45, 42, 27, 33, 34)\nb &lt;- c(17, 18, 22, 26, 26, 29, 31, 30)\nc &lt;- c(34, 35, 35, 36, 51, 29, 30, 31)\n\ndata &lt;- cbind(a, b, c)\n\n<span style=\"color: #008080;\">#calculate Cosine Similarity\n<\/span>cosine(data)\n\n          ABC\na 1.0000000 0.9651950 0.9812406\nb 0.9651950 1.0000000 0.9573478\nc 0.9812406 0.9573478 1.0000000\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Oto jak zinterpretowa\u0107 wynik:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Cosinus podobie\u0144stwa mi\u0119dzy wektorami <em>a<\/em> i <em>b<\/em> wynosi <strong>0,9651950<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cosinus podobie\u0144stwa mi\u0119dzy wektorami <em>a<\/em> i <em>c<\/em> wynosi <strong>0,9812406<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Cosinus podobie\u0144stwa mi\u0119dzy wektorami <em>b<\/em> i <em>c<\/em> wynosi <strong>0,9573478<\/strong> .<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Uwagi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Funkcja <strong>cosinus()<\/strong> b\u0119dzie dzia\u0142a\u0107 z macierz\u0105 kwadratow\u0105 o dowolnym rozmiarze.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Funkcja <strong>cosinus()<\/strong> b\u0119dzie dzia\u0142a\u0107 na macierzy, ale <em>nie<\/em> na ramce danych. Mo\u017cna jednak \u0142atwo przekonwertowa\u0107 ramk\u0119 danych na macierz w R za pomoc\u0105 funkcji <strong>as.matrix()<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Odwied\u017a<a href=\"https:\/\/en.wikipedia.org\/wiki\/Cosine_similarity\" target=\"_blank\" rel=\"noopener noreferrer\">t\u0119 stron\u0119 Wikipedii,<\/a> aby dowiedzie\u0107 si\u0119 wi\u0119cej o podobie\u0144stwie cosinusa.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Podobie\u0144stwo cosinusowe jest miar\u0105 podobie\u0144stwa mi\u0119dzy dwoma wektorami przestrzeni iloczynu wewn\u0119trznego. Dla dw\u00f3ch wektor\u00f3w A i B podobie\u0144stwo cosinus oblicza si\u0119 w nast\u0119puj\u0105cy spos\u00f3b: Cosinus podobie\u0144stwo = \u03a3A i B i \/ (\u221a\u03a3A i 2 \u221a\u03a3B i 2 ) W tym samouczku wyja\u015bniono, jak obliczy\u0107 podobie\u0144stwo cosinus mi\u0119dzy wektorami w R przy u\u017cyciu funkcji cosinus() [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-1109","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 podobie\u0144stwo cosinusa w R - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 cosinus w podobny spos\u00f3b w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 podobie\u0144stwo cosinusa w R - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 cosinus w podobny spos\u00f3b w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T15:21:30+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuta\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/\",\"name\":\"Jak obliczy\u0107 podobie\u0144stwo cosinusa w R - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-27T15:21:30+00:00\",\"dateModified\":\"2023-07-27T15:21:30+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 cosinus w podobny spos\u00f3b w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/cosinus-podobienstwo-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 podobie\u0144stwo cosinus w r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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