{"id":4901,"date":"2013-01-28T14:30:26","date_gmt":"2013-01-28T17:30:26","guid":{"rendered":"http:\/\/scienceblogs.com.br\/hypercubic\/?p=4901"},"modified":"2013-01-28T14:30:26","modified_gmt":"2013-01-28T17:30:26","slug":"linhas-de-expresso-cartesianamente-corretas","status":"publish","type":"post","link":"https:\/\/www.blogs.unicamp.br\/hypercubic\/2013\/01\/linhas-de-expresso-cartesianamente-corretas\/","title":{"rendered":"Linhas de express\u00e3o cartesianamente corretas"},"content":{"rendered":"<p align=\"justify\">Dadas suficientes vari\u00e1veis, \u00e9 poss\u00edvel plotar qualquer coisa num plano cartesiano. C\u00edrculos, tri\u00e2ngulos, \u00f3rbitas planet\u00e1rias e at\u00e9 pessoas. O \u00fanico problema \u00e9 que, pra ser matematicamente preciso, voc\u00ea teria que encontrar e resolver as equa\u00e7\u00f5es certas antes de sair por a\u00ed desenhando entre os eixos <strong>x<\/strong> e <strong>y<\/strong>.<\/p>\n<p align=\"justify\">Ou talvez baste apenas fazer uma boa busca no <strong><a href=\"http:\/\/www.wolframalpha.com\" target=\"_blank\" rel=\"noopener noreferrer\">Wolfram Alpha<\/a><\/strong>. Mais que um mecanismo de busca, o <strong>W|A<\/strong> \u00e9 um verdadeiro processador <em>online<\/em> \u2014 e para demonstrar seu poder de computa\u00e7\u00e3o, ele \u00e9 capaz de plotar algumas <em>person curves<\/em>. As <em>person curves<\/em> s\u00e3o retratos de diversas personalidades da cultura <em>pop<\/em>, da ci\u00eancia e da pol\u00edtica. Al\u00e9m da plotagem, o <strong>Wolfram Alpha<\/strong> tamb\u00e9m apresenta os c\u00e1lculos por tr\u00e1s de cada imagem.<\/p>\n<p style=\"text-align: center\" align=\"justify\">H\u00e1, por exemplo, a <em><a href=\"http:\/\/www.wolframalpha.com\/input\/?i=PSY+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.PSYCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">PSY curve<\/a><\/em>\u00a0 <a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/psy-curve.png\" data-rel=\"lightbox-image-0\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" class=\"size-full wp-image-4907 aligncenter\" alt=\"psy curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/psy-curve.png\" width=\"140\" height=\"230\" \/><\/a><\/p>\n<p style=\"text-align: left\" align=\"justify\">e sua respectiva equa\u00e7\u00e3o param\u00e9trica:<\/p>\n<figure id=\"attachment_4908\" aria-describedby=\"caption-attachment-4908\" style=\"width: 532px\" class=\"wp-caption aligncenter\"><a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/psy-equation.png\" data-rel=\"lightbox-image-1\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img fetchpriority=\"high\" decoding=\"async\" class=\"size-full wp-image-4908  \" alt=\"psy equation\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/psy-equation.png\" width=\"532\" height=\"353\" srcset=\"https:\/\/www.blogs.unicamp.br\/hypercubic\/wp-content\/uploads\/sites\/249\/2013\/01\/psy-equation.png 532w, https:\/\/www.blogs.unicamp.br\/hypercubic\/wp-content\/uploads\/sites\/249\/2013\/01\/psy-equation-300x199.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/a><figcaption id=\"caption-attachment-4908\" class=\"wp-caption-text\">Apresentada aqui parcialmente, \u00e9 claro.<\/figcaption><\/figure>\n<p align=\"justify\"><!--more-->A maioria das <em>person curves<\/em>, por\u00e9m, plota apenas o rosto da personalidade \u2014 a <em><a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Charlie+Chaplin+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.ChaplinCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Charlie Chaplin curve<\/a><\/em> mostra o personagem Carlitos de corpo inteiro, mas de forma menos elegante que o m\u00fasico sul-coreano. A qualidade das plotagens nem sempre \u00e9 boa e a escolha das express\u00f5es nem sempre \u00e9 acertada, mas \u00e9 o bastante para reconhecer, digamos, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Angelina+Jolie+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.JolieCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Angelina Jolie<\/a>.<a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Jolie-curve.png\" data-rel=\"lightbox-image-2\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img decoding=\"async\" class=\"size-full wp-image-4906 aligncenter\" alt=\"Jolie curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Jolie-curve.png\" width=\"170\" height=\"231\" \/><\/a><\/p>\n<p align=\"justify\">Ou o <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Dalai+Lama+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.DalaiLamaCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Dalai Lama<a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/dalai-lama-curve.png\" data-rel=\"lightbox-image-3\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4902 aligncenter\" alt=\"dalai lama curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/dalai-lama-curve.png\" width=\"175\" height=\"233\" \/><\/a><\/a><\/p>\n<p align=\"justify\">Entre os cientistas, \u00e9 poss\u00edvel dar de cara com <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Richard+Feynman+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.FeynmanCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Richard Feynman<\/a>,<a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Feynman-curve.png\" data-rel=\"lightbox-image-4\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4905 aligncenter\" alt=\"Feynman curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Feynman-curve.png\" width=\"173\" height=\"239\" \/><\/a><\/p>\n<p align=\"justify\"><a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Albert+Einstein+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.EinsteinCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Albert Einstein<\/a>,<a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Einstein-curve.png\" data-rel=\"lightbox-image-5\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4904 aligncenter\" alt=\"Einstein curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/Einstein-curve.png\" width=\"172\" height=\"232\" \/><\/a><\/p>\n<p align=\"justify\">e <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Paul+Adrien+Maurice+Dirac+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.DiracCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Paul Dirac<\/a>, entre outros.<a href=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/dirac-curve.png\" data-rel=\"lightbox-image-6\" data-rl_title=\"\" data-rl_caption=\"\" title=\"\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-4903 aligncenter\" alt=\"dirac curve\" src=\"http:\/\/scienceblogs.com.br\/hypercubic\/files\/2013\/01\/dirac-curve.png\" width=\"173\" height=\"231\" \/><\/a><\/p>\n<p align=\"justify\">Entre os pol\u00edticos, o <strong>Wolfram Alpha<\/strong> consegue plotar de <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Josef+Stalin+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.StalinCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Stalin<\/a> a <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Vlamidir+Putin+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.PutinCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Putin<\/a>, passando pelo trio <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Marx%E2%80%90Engels%E2%80%90Lenin+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.MarxEngelsLeninCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Marx-Engels-L\u00eanin<\/a>, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Adolf+Hitler+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.HitlerCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Adolf Hitler<\/a>, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Mao+Tse%E2%80%90Tung+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.MaoTseTungCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Mao Ts\u00e9-tung<\/a>, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Che+Guevara+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.GuevaraCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Ch\u00ea Guevara<\/a>, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Kim+Jong+Un+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.KimJongUnCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">King Jong Un<\/a>, <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Silvio+Berlusconi+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.BerlusconiCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Silvio Berlusconi<\/a> e <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Angela+Merkel+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.MerkelCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Angela Merkel<\/a>. Curiosamente, h\u00e1 duas curvas de Barack Obama (<a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Barack+Obama+%28with+hair%29+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.ObamaWithHairCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">com<\/a> e <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Barack+Obama+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.ObamaCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">sem cabelo<\/a>) e apenas uma de <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Mitt+Romney+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.RomneyCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Mitt Romney<\/a>. <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=Abraham+Lincoln+curve&amp;lk=1&amp;a=ClashPrefs_*PlaneCurve.LincolnCurve-\" target=\"_blank\" rel=\"noopener noreferrer\">Abraham Lincoln<\/a>, evidentemente, n\u00e3o podia faltar.<\/p>\n<p align=\"justify\">A lista completa dos personagens matematicamente retratados est\u00e1 <a href=\"http:\/\/www.wolframalpha.com\/input\/?i=person%20curve&amp;lk=2\" target=\"_blank\" rel=\"noopener noreferrer\">aqui<\/a>. Apesar dos feitos, o <strong>Wolfram Alpha<\/strong> ainda n\u00e3o sabe criar <em>person curves<\/em> ao gosto do fregu\u00eas. Fiz tr\u00eas consultas para testar isso.<\/p>\n<p align=\"justify\">Que tal tentar um personagem ficcional? <em>Doctor Who curve<\/em> n\u00e3o apresenta curva nenhuma, embora d\u00ea uma ficha t\u00e9cnica do personagem principal da cinquenten\u00e1ria s\u00e9rie brit\u00e2nica (se bem que seria mesmo dif\u00edcil escolher uma das 11 faces do Doctor para plotar \u2014 ou ent\u00e3o plotar as 11&#8230;). Ou quem sabe um esportista brasileiro bastante conhecido l\u00e1 fora? <em>Anderson Silva curve<\/em> tamb\u00e9m n\u00e3o plota nada, mas em compensa\u00e7\u00e3o apresenta os dados da frequ\u00eancia desses nome e sobrenome nos Estados Unidos. Um pol\u00edtico, talvez? <em>Lula curve<\/em>, por exemplo, n\u00e3o retorna resultados (nesse caso, aparecem apenas t\u00f3picos sobre curvas do pr\u00f3prio <strong>W|A<\/strong>).<\/p>\n<p align=\"justify\">Entretanto, \u00e9 cedo para se decepcionar. O <strong>Wolfram Alpha<\/strong> \u00e9 um buscador sem\u00e2ntico que realmente tenta responder perguntas e aprende com as buscas dos usu\u00e1rios e os pr\u00f3prios erros. \u00c9 poss\u00edvel que em alguns anos ele aprenda e seja capaz de plotar as curvas ou dar as f\u00f3rmulas para qualquer personalidade hist\u00f3rica. Pode n\u00e3o ser \u00fatil, mas \u00e9 divertido. Matematicamente divertido.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dadas suficientes vari\u00e1veis, \u00e9 poss\u00edvel plotar qualquer coisa num plano cartesiano. C\u00edrculos, tri\u00e2ngulos, \u00f3rbitas planet\u00e1rias e at\u00e9 pessoas. O \u00fanico problema \u00e9 que, pra ser matematicamente preciso, voc\u00ea teria que encontrar e resolver as equa\u00e7\u00f5es certas antes de sair por a\u00ed desenhando entre os eixos x e y. Ou talvez baste apenas fazer uma boa [&hellip;]<\/p>\n","protected":false},"author":486,"featured_media":4907,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_eb_attr":"","_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"material-hide-sections":[],"pgc_sgb_lightbox_settings":"","_vp_format_video_url":"","_vp_image_focal_point":[],"footnotes":""},"categories":[4,79,111,125,147,154,177,180,203,229],"tags":[448,527,1042,1146,2614,2653,2703,2713,2794,2929,3480],"class_list":["post-4901","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-likeaboss","category-curiosidades","category-exatas","category-fica-a-dica","category-geek","category-graficos","category-informatica","category-internet","category-matematica","category-nerdices","tag-albert-einstein","tag-angelina-jolie","tag-computacao-semantica","tag-dalai-lama","tag-paul-dirac","tag-person-curves","tag-plano-cartesiano","tag-plotagem","tag-psy","tag-richard-feynman","tag-wolfram-alpha"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.4 - 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