{"id":1115,"date":"2023-07-27T14:58:19","date_gmt":"2023-07-27T14:58:19","guid":{"rendered":"https:\/\/statorials.org\/pt\/distancia-euclidiana-python\/"},"modified":"2023-07-27T14:58:19","modified_gmt":"2023-07-27T14:58:19","slug":"distancia-euclidiana-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/distancia-euclidiana-python\/","title":{"rendered":"Como calcular a dist\u00e2ncia euclidiana em python (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 Python, podemos usar a fun\u00e7\u00e3o <strong>numpy.linalg.norm<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\"><span style=\"color: #008080;\">#import functions<\/span>\nimport <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\nfrom<\/span> numpy. <span style=\"color: #008000;\"><span style=\"color: #3366ff;\">linalg<\/span> import<\/span> norm\n\n<span style=\"color: #008080;\">#define two vectors\n<\/span>a = np.array([2, 6, 7, 7, 5, 13, 14, 17, 11, 8])\nb = np.array([3, 5, 5, 3, 7, 12, 13, 19, 22, 7])\n\n<span style=\"color: #008080;\">#calculate Euclidean distance between the two vectors<\/span> \nnorm(ab)\n\n12.409673645990857<\/strong>\n<\/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 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: #008000;\"><span style=\"color: #008080;\">#import functions<\/span>\nimport <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\nfrom<\/span> numpy. <span style=\"color: #008000;\"><span style=\"color: #3366ff;\">linalg<\/span> import<\/span> norm\n\n<span style=\"color: #008080;\">#define two vectors\n<\/span>a = np.array([2, 6, 7, 7, 5, 13, 14])\nb = np.array([3, 5, 5, 3, 7, 12, 13, 19, 22, 7])\n\n<span style=\"color: #008080;\">#calculate Euclidean distance between the two vectors<\/span> \nnorm(ab)\n\n<span style=\"color: #993300;\">ValueError<\/span> : operands could not be broadcast together with shapes (7,) (10,) \n<\/strong><\/pre>\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 DataFrame do pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\"><span style=\"color: #008080;\">#import functions\n<\/span>import <span style=\"color: #000000;\">pandas<\/span> as <span style=\"color: #000000;\">pd<\/span> \nimport <span style=\"color: #000000;\">numpy<\/span> as <span style=\"color: #000000;\">np<\/span>\nfrom<\/span> numpy. <span style=\"color: #008000;\"><span style=\"color: #3366ff;\">linalg<\/span> import<\/span> norm\n\n<span style=\"color: #008080;\">#define DataFrame with three columns\n<\/span>df = pd.DataFrame({'points': [25, 12, 15, 14, 19, 23, 25, 29],\n                   'assists': [5, 7, 7, 9, 12, 9, 9, 4],\n                   'rebounds': [11, 8, 10, 6, 6, 5, 9, 12]})\n\n<span style=\"color: #008080;\">#calculate Euclidean distance between 'points' and 'assists'<\/span> \nnorm(df[' <span style=\"color: #008000;\">points<\/span> '] - df[' <span style=\"color: #008000;\">assists<\/span> '])\n\n40.496913462633174\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A dist\u00e2ncia euclidiana entre as duas colunas \u00e9 <strong>40,49691<\/strong> .<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Coment\u00e1rios<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> Existem v\u00e1rias maneiras de calcular a dist\u00e2ncia euclidiana em Python, mas como <a href=\"https:\/\/stackoverflow.com\/questions\/1401712\/how-can-the-euclidean-distance-be-calculated-with-numpy\" target=\"_blank\" rel=\"noopener noreferrer\">explica este t\u00f3pico do Stack Overflow<\/a> , o m\u00e9todo explicado aqui acaba sendo o mais r\u00e1pido.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> Voc\u00ea pode encontrar a documenta\u00e7\u00e3o completa da fun\u00e7\u00e3o <strong>numpy.linalg.norm<\/strong> <a href=\"https:\/\/numpy.org\/doc\/stable\/reference\/generated\/numpy.linalg.norm.html\" target=\"_blank\" rel=\"noopener noreferrer\">aqui<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> 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><\/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 Python, podemos usar a fun\u00e7\u00e3o numpy.linalg.norm : #import functions import numpy as np from numpy. linalg import norm #define two vectors a [&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-1115","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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