{"id":313,"date":"2012-07-27T01:51:12","date_gmt":"2012-07-27T00:51:12","guid":{"rendered":"http:\/\/n099h031.rs.de.inter.net\/blog\/?p=313"},"modified":"2015-08-27T15:58:06","modified_gmt":"2015-08-27T14:58:06","slug":"some-math","status":"publish","type":"post","link":"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/","title":{"rendered":"Some Math"},"content":{"rendered":"

Math in WordPress has become as easy as $1,2,3,\\dots$ thanks to MathJax<\/a>. Some trigonometric identities:<\/p>\n

\\begin{gather}
\n\\sin\\alpha^2 +\\cos\\alpha^2 = 1 \\\\
\n\\sqrt{2}\\left|\\cos(\\alpha\/2)\\right| = \\sqrt{\\cos(\\alpha) +1}
\n\\end{gather}<\/p>\n

The Dirac equation for a relativistic electron:
\n\\begin{equation}
\n\\mathrm{i}\\hbar\\frac{\\partial\\Psi(\\vec{r}, t)}{\\partial t} =
\n\\left(c\\vec{\\alpha}\\cdot\\left(\\hat{\\vec{p}}- q \\vec{A}(\\vec{r}, t) \\right) +
\nq \\phi(\\vec{r}, t) + mc^2\\beta
\n\\right)\\Psi(\\vec{r}, t)
\n\\end{equation}<\/p>\n","protected":false},"excerpt":{"rendered":"

Math in WordPress has become as easy as $1,2,3,\\dots$ thanks to MathJax. Some trigonometric identities: \\begin{gather} \\sin\\alpha^2 +\\cos\\alpha^2 = 1 \\\\ \\sqrt{2}\\left|\\cos(\\alpha\/2)\\right| = \\sqrt{\\cos(\\alpha) +1} \\end{gather} The Dirac equation for a relativistic electron: \\begin{equation} \\mathrm{i}\\hbar\\frac{\\partial\\Psi(\\vec{r}, t)}{\\partial t} = \\left(c\\vec{\\alpha}\\cdot\\left(\\hat{\\vec{p}}- q \\vec{A}(\\vec{r}, t) \\right) + q \\phi(\\vec{r}, t) + mc^2\\beta \\right)\\Psi(\\vec{r}, t) \\end{equation}<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-313","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"\nSome Math - Number Crunch<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Some Math - Number Crunch\" \/>\n<meta property=\"og:description\" content=\"Math in WordPress has become as easy as $1,2,3,dots$ thanks to MathJax. Some trigonometric identities: begin{gather} sinalpha^2 +cosalpha^2 = 1 \\ sqrt{2}left|cos(alpha\/2)right| = sqrt{cos(alpha) +1} end{gather} The Dirac equation for a relativistic electron: begin{equation} mathrm{i}hbarfrac{partialPsi(vec{r}, t)}{partial t} = left(cvec{alpha}cdotleft(hat{vec{p}}- q vec{A}(vec{r}, t) right) + q phi(vec{r}, t) + mc^2beta right)Psi(vec{r}, t) end{equation}\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\" \/>\n<meta property=\"og:site_name\" content=\"Number Crunch\" \/>\n<meta property=\"article:published_time\" content=\"2012-07-27T00:51:12+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2015-08-27T14:58:06+00:00\" \/>\n<meta name=\"author\" content=\"Heiko Bauke\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"Heiko Bauke\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\"},\"author\":{\"name\":\"Heiko Bauke\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"headline\":\"Some Math\",\"datePublished\":\"2012-07-27T00:51:12+00:00\",\"dateModified\":\"2015-08-27T14:58:06+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\"},\"wordCount\":84,\"commentCount\":0,\"publisher\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\",\"url\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\",\"name\":\"Some Math - Number Crunch\",\"isPartOf\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#website\"},\"datePublished\":\"2012-07-27T00:51:12+00:00\",\"dateModified\":\"2015-08-27T14:58:06+00:00\",\"breadcrumb\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/www.numbercrunch.de\/blog\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Some Math\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#website\",\"url\":\"https:\/\/www.numbercrunch.de\/blog\/\",\"name\":\"Number Crunch\",\"description\":\"A computational science blog.\",\"publisher\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\"},\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/www.numbercrunch.de\/blog\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":[\"Person\",\"Organization\"],\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/e73eab65b1721dd0c3d408edb887e413\",\"name\":\"Heiko Bauke\",\"logo\":{\"@id\":\"https:\/\/www.numbercrunch.de\/blog\/#\/schema\/person\/image\/\"}}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Some Math - Number Crunch","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.numbercrunch.de\/blog\/2012\/07\/some-math\/","og_locale":"en_US","og_type":"article","og_title":"Some Math - Number Crunch","og_description":"Math in WordPress has become as easy as $1,2,3,dots$ thanks to MathJax. 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