{"id":1211,"date":"2023-01-02T10:21:28","date_gmt":"2023-01-02T13:21:28","guid":{"rendered":"http:\/\/clubes.obmep.org.br\/blog\/?p=1211"},"modified":"2023-02-15T20:19:11","modified_gmt":"2023-02-15T23:19:11","slug":"latex","status":"publish","type":"post","link":"https:\/\/clubes.obmep.org.br\/blog\/2023\/01\/latex\/","title":{"rendered":"Latex"},"content":{"rendered":"<div style=\"border: 2px solid #800000; padding: 15px;\">\n<p style=\"text-align: justify;\"><span style=\"font-family: 'Georgia'; font-size: large; color: #616161; line-height: 25px;\"> <img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1001 alignleft\" style=\"border: 0px;\" alt=\"explicador_p\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/01\/menino.jpg\" width=\"108\" height=\"132\" \/><\/a><br \/>\nNas postagens do  nosso Blog, \u00e9 poss\u00edvel utilizar comandos do <strong> <em>Latex <\/em><\/strong>.<br \/>\nPara quem n\u00e3o sabe, o <strong><em>Latex <\/em><\/strong> (l\u00ea-se latec) \u00e9 uma ferramenta utilizada para escrever textos matem\u00e1ticos.<br \/>\nInformamos que no F\u00f3rum restrito dos <span style=\"font-family: 'algerian'; font-size: large; color: #800000;\">Clubes de Matem\u00e1tica da OBMEP<\/span>, temos um ambiente pr\u00f3prio para aprendizagem e utiliza\u00e7\u00e3o dessa ferramenta.<br \/>\nVejam alguns exemplos de express\u00f5es matem\u00e1ticas escritas com <strong><em>Latex<\/em><\/strong>:<\/p>\n<p style=\"margin:20px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex] \\alpha=x_1+\\dfrac{1}{2}[\/tex]<\/span><\/p>\n<p><span style=\"font-family: 'Georgia'; font-size: large; color: #616161; line-height: 18px;\"><\/p>\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex] x^2+x+2=0[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]\\theta=\\left\\{\\left[8+\\left(1+\\frac{x}{y}\\right)^{15}\\right]^2\\right\\}^3[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]x=\\dfrac{-b\\pm\\sqrt{b^2-4ac}}{2a}[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]\\mathbb{Q}=\\left\\{\\dfrac{a}{b};\\ a,b\\in \\mathbb{Z}; \\ b \\ne 0 \\right\\}[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]x=\\dfrac{-b \\pm \\sqrt{\\Delta}}{2a} \\ , \\ \\Delta=b^2 -4ac[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]z=\\left(\\dfrac{2x+5}{7x+4}\\right)[\/tex], para [tex]x\\ne\\dfrac{-4}{7}[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]\\cos^2 \\theta+ \\sin^{2} \\theta= 1[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]\\begin{cases}x+y=7\\\\ x-y=2\\end{cases}[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]C=2\\pi r[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]r\\parallel s[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]r\\perp s[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex](1+x)^n \\ge 1+nx\\,[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex](a+b)^2= a^2+2ab+b^2[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]\\fbox{$\\displaystyle A_c=\\pi r^2$}[\/tex]<\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: justify; padding-left: 50px;\"><span style=\"font-family: 'Georgia'; font-size: small; color: #800000; line-height: 30px;\">\u25cf\u00a0<\/span><span style=\"font-family: 'Georgia'; font-size: large; color: #616161;\">[tex]C_{n,\\ p}=C_{n}^p=\\dfrac{n!}{p!(n-p)!}[\/tex]<br \/>\n<\/span><\/p>\n<p style=\"margin:10px;\">\n<p style=\"text-align: center;\"><em><strong><span style=\"font-family: Georgia; font-size: x-large; color: #800000;\">Bem legal, n\u00e3o \u00e9?<\/span><\/strong><\/em><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/clubes.obmep.org.br\/blog\/wp-content\/uploads\/2013\/02\/carinha5.jpg\" style=\"border: 0px;\" alt=\"carinha5\" width=\"110\" height=\"92\" class=\"aligncenter size-full wp-image-3061\" \/><\/a><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-family: 'Georgia'; font-size: large; color: #616161; line-height: 25px;\"><br \/>\nPara exibir os s\u00edmbolos matem\u00e1ticos escritos com <strong><em>Latex<\/em> <\/strong> o nosso Blog utiliza o <strong><em>MathJax<\/em><\/strong>, uma ferramenta que funciona na maioria dos navegadores e que transforma os c\u00f3digos do <strong><em>Latex <\/em><\/strong> nos s\u00edmbolos matem\u00e1ticos que visualizamos nas telas dos dispositivos que utilizamos para acessar o Blog.<br \/>\nSe voc\u00ea utiliza equipamentos da <em>Apple <\/em>, por favor, leia <a href=\"http:\/\/clubes.obmep.org.br\/blog\/?p=134786\" title=\"Ver mensagem!\" target=\"_blank\"><span style=\"color: #800000;\"><strong>esta mensagem<\/strong><\/span><\/a>.<\/p>\n<p><\/span><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Nas postagens do nosso Blog, \u00e9 poss\u00edvel utilizar comandos do Latex . Para quem n\u00e3o sabe, o Latex (l\u00ea-se latec) \u00e9 uma ferramenta utilizada para escrever textos matem\u00e1ticos. Informamos que no F\u00f3rum restrito dos Clubes de Matem\u00e1tica da OBMEP, temos um ambiente pr\u00f3prio para aprendizagem e utiliza\u00e7\u00e3o dessa ferramenta. Vejam alguns exemplos de express\u00f5es matem\u00e1ticas &hellip; <\/p>\n<p><a class=\"more-link btn\" href=\"https:\/\/clubes.obmep.org.br\/blog\/2023\/01\/latex\/\">Continue lendo<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19,18],"tags":[],"class_list":["post-1211","post","type-post","status-publish","format-standard","hentry","category-latex","category-problemas-e-desafios","item-wrap"],"_links":{"self":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/1211","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/comments?post=1211"}],"version-history":[{"count":24,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/1211\/revisions"}],"predecessor-version":[{"id":227719,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/posts\/1211\/revisions\/227719"}],"wp:attachment":[{"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/media?parent=1211"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/categories?post=1211"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/clubes.obmep.org.br\/blog\/wp-json\/wp\/v2\/tags?post=1211"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}