{"id":15,"date":"2007-08-12T20:08:17","date_gmt":"2007-08-13T00:08:17","guid":{"rendered":"http:\/\/www.jonathankmack.com\/blog\/?p=15"},"modified":"2011-03-24T18:41:37","modified_gmt":"2011-03-24T22:41:37","slug":"the-awesomest-formula-of-them-all","status":"publish","type":"post","link":"https:\/\/www.jonathankmack.com\/blog\/2007\/08\/12\/the-awesomest-formula-of-them-all\/","title":{"rendered":"The Awesomest Formula of Them All"},"content":{"rendered":"<p>(I wrote this a few weeks ago to practice html formatting tags. It originally went in a &#8220;Miscellaneous&#8221; portion of the site (now removed). Since it can&#8217;t go there any more, it goes best here.)<\/p>\n<p><strong>The awesomest formula of them all.<\/strong><\/p>\n<p>After four years in aerospace engineering school, one as a math major, 1.5 as a working engineer, five as a helicopter pilot, and 1.5 (and counting) as a computer science graduate student, I know a <strong>lot<\/strong> of mathematical formulas. But what, you may be asking, <em>what<\/em> is the awesomest formula of them all? I humbly submit to you that it&#8217;s this one:<\/p>\n<p><em>e<sup>i\u03c0<\/sup><\/em> = -1<\/p>\n<p>How can this be so amazing? Think about it for a second: <em>e<\/em> is the base of the natural logarithm, an <dfn title=\"nonrepeating, nonterminating, decimal\">irrational<\/dfn> number, approximately 2.718. <em>i<\/em> is the square root of -1, a number which is so mindbendingly impossible (since you can&#8217;t take the square root of a negative number) it forms the basis for a class of numbers that are \tcalled <em>imaginary<\/em> numbers. \u03c0 is the ratio of a circle&#8217;s circumference to its diameter, another (and perhaps the most famous) irrational number, at approximately 3.14159. So. Take <em>e<\/em>, raise it to the power of <em>i<\/em> times \u03c0, and what do you get? <em>-1<\/em>. One of the most boringly normal numbers out there. And, oh yeah: no matter to what number you raise a positive number (like <em>e<\/em>), <em>you cannot get a negative number<\/em>.<\/p>\n<p>Like -1.<\/p>\n<p>Awesome, huh?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>(I wrote this a few weeks ago to practice html formatting tags. It originally went in a &#8220;Miscellaneous&#8221; portion of the site (now removed). Since it can&#8217;t go there any more, it goes best here.) The awesomest formula of them all. After four years in aerospace engineering school, one as a math major, 1.5 as &hellip; <a href=\"https:\/\/www.jonathankmack.com\/blog\/2007\/08\/12\/the-awesomest-formula-of-them-all\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">The Awesomest Formula of Them All<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[11],"tags":[8,9,7],"class_list":["post-15","post","type-post","status-publish","format-standard","hentry","category-math","tag-awesome","tag-euler","tag-formula"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_sharing_enabled":true,"jetpack_shortlink":"https:\/\/wp.me\/p1rmW5-f","jetpack_likes_enabled":true,"jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/posts\/15","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/comments?post=15"}],"version-history":[{"count":4,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/posts\/15\/revisions"}],"predecessor-version":[{"id":17,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/posts\/15\/revisions\/17"}],"wp:attachment":[{"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/media?parent=15"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/categories?post=15"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.jonathankmack.com\/blog\/wp-json\/wp\/v2\/tags?post=15"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}