{"id":1111,"date":"2023-07-27T15:13:58","date_gmt":"2023-07-27T15:13:58","guid":{"rendered":"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/"},"modified":"2023-07-27T15:13:58","modified_gmt":"2023-07-27T15:13:58","slug":"distancia-euclidiana-em-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/","title":{"rendered":"Como calcular a dist\u00e2ncia euclidiana em r (com exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">A <strong>dist\u00e2ncia euclidiana<\/strong> entre dois vetores A e B \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Dist\u00e2ncia euclidiana = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(A <sub>i<\/sub> -B <sub>i<\/sub> ) <sup>2<\/sup><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para calcular a dist\u00e2ncia euclidiana entre dois vetores em R, podemos definir a seguinte fun\u00e7\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>euclidean &lt;- <span style=\"color: #008000;\">function<\/span> (a, b) <span style=\"color: #3366ff;\">sqrt<\/span> ( <span style=\"color: #3366ff;\">sum<\/span> ((a - b)^2))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos ent\u00e3o usar esta fun\u00e7\u00e3o para encontrar a dist\u00e2ncia euclidiana entre quaisquer dois vetores:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define two vectors<\/span>\na &lt;- c(2, 6, 7, 7, 5, 13, 14, 17, 11, 8)\nb &lt;- c(3, 5, 5, 3, 7, 12, 13, 19, 22, 7)\n\n<span style=\"color: #008080;\">#calculate Euclidean distance between vectors<\/span>\neuclid(a, b)\n\n[1] 12.40967\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A dist\u00e2ncia euclidiana entre os dois vetores \u00e9 <strong>12,40967<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que tamb\u00e9m podemos usar esta fun\u00e7\u00e3o para calcular a dist\u00e2ncia euclidiana entre duas colunas de um quadro de dados:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data frame<\/span>\ndf &lt;- data.frame(a=c(3, 4, 4, 6, 7, 14, 15),\n                 b=c(4, 8, 8, 9, 14, 13, 7),\n                 c=c(7, 7, 8, 5, 15, 11, 8),\n                 d=c(9, 6, 6, 7, 6, 15, 19))\n\n<span style=\"color: #008080;\">#calculate Euclidean distance between columns <em>a<\/em> and <em>d<\/em><\/span>\neuclid(df$a, df$d)\n\n[1] 7.937254\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Observe que esta fun\u00e7\u00e3o produzir\u00e1 uma mensagem de aviso se os dois vetores n\u00e3o tiverem o mesmo comprimento:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define two vectors of unequal length<\/span>\na &lt;- c(2, 6, 7, 7, 5, 13, 14)\nb &lt;- c(3, 5, 5, 3, 7, 12, 13, 19, 22, 7)\n\n<span style=\"color: #008080;\">#attempt to calculate Euclidean distance between vectors<\/span>\neuclid(a, b)\n\n[1] 23.93742\nWarning message:\nIn a - b: longer object length is not a multiple of shorter object length<\/strong><\/pre>\n<p> <em><span style=\"color: #000000;\">Voc\u00ea pode consultar<\/span> <a href=\"https:\/\/en.wikipedia.org\/wiki\/Euclidean_distance\" target=\"_blank\" rel=\"noopener noreferrer\">esta p\u00e1gina da Wikipedia<\/a> <span style=\"color: #000000;\">para saber mais sobre a dist\u00e2ncia euclidiana.<\/span><\/em><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-manhattan-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Manhattan em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-minkowski-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Minkowski em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-hamming-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Hamming em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-mahalanobis-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Mahalanobis em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distancia-de-levenshtein-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular a dist\u00e2ncia de Levenshtein em R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>A dist\u00e2ncia euclidiana entre dois vetores A e B \u00e9 calculada da seguinte forma: Dist\u00e2ncia euclidiana = \u221a \u03a3(A i -B i ) 2 Para calcular a dist\u00e2ncia euclidiana entre dois vetores em R, podemos definir a seguinte fun\u00e7\u00e3o: euclidean &lt;- function (a, b) sqrt ( sum ((a &#8211; b)^2)) Podemos ent\u00e3o usar esta fun\u00e7\u00e3o [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1111","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Como calcular a dist\u00e2ncia euclidiana em R (com exemplos)<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular a dist\u00e2ncia euclidiana em R, com v\u00e1rios exemplos.\" \/>\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\/pt\/distancia-euclidiana-em-r\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como calcular a dist\u00e2ncia euclidiana em R (com exemplos)\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como calcular a dist\u00e2ncia euclidiana em R, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T15:13:58+00:00\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minuto\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\",\"url\":\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\",\"name\":\"Como calcular a dist\u00e2ncia euclidiana em R (com exemplos)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-27T15:13:58+00:00\",\"dateModified\":\"2023-07-27T15:13:58+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como calcular a dist\u00e2ncia euclidiana em R, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/distancia-euclidiana-em-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular a dist\u00e2ncia euclidiana em r (com exemplos)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. 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