{"id":33089,"date":"2014-02-02T16:16:19","date_gmt":"2014-02-02T16:16:19","guid":{"rendered":"http:\/\/rafaelfajardo.com\/portfolio\/matthen-chaos-theory-is-a-very-important-area\/"},"modified":"2018-12-06T13:01:14","modified_gmt":"2018-12-06T20:01:14","slug":"matthen-chaos-theory-is-a-very-important-area","status":"publish","type":"post","link":"https:\/\/rafaelfajardo.com\/portfolio\/matthen-chaos-theory-is-a-very-important-area\/","title":{"rendered":""},"content":{"rendered":"<div id='gallery-1' class='gallery galleryid-33089 gallery-columns-3 gallery-size-thumbnail'><figure class='gallery-item'>\n\t\t\t<div class='gallery-icon landscape'>\n\t\t\t\t<a href='https:\/\/rafaelfajardo.com\/portfolio\/matthen-chaos-theory-is-a-very-important-area\/attachment\/33090\/'><img loading=\"lazy\" decoding=\"async\" width=\"100\" height=\"100\" src=\"https:\/\/rafaelfajardo.com\/portfolio\/wp-content\/uploads\/tumblr_loshhy8REd1qfg7o3o1_400-100x100.gif\" class=\"attachment-thumbnail size-thumbnail\" alt=\"\" \/><\/a>\n\t\t\t<\/div><\/figure>\n\t\t<\/div>\n\n<p><a class=\"tumblr_blog\" href=\"http:\/\/blog.matthen.com\/post\/7969959631\/chaos-theory-is-a-very-important-area-of\">matthen<\/a>:<\/p>\n<blockquote>\n<p><strong>Chaos Theory<\/strong> is a very important area of mathematics which can <strong>explain a lot of what we see in the real world<\/strong>. \u00a0A <strong>pendulum with one mass<\/strong> is relatively <strong>easy <\/strong>to explain mathematically, and it <strong>behaves nicely<\/strong>. However if you put <strong>another mass<\/strong> in there, it <strong>behaves chaotically<\/strong>. Technically, this means that if you change the starting positions only <strong>slightly<\/strong>, the state of the system a short time later can change <strong>drastically<\/strong>. \u00a0The <strong>weather is chaotic<\/strong>&#8211; a small error in measuring it today could be the difference between rain and no rain in a weeks days time. Watch these <strong>two pendulum systems quickly diverge<\/strong>, though they both start off with nearly the same settings. [<a href=\"http:\/\/www.ldeo.columbia.edu\/~mspieg\/Complexity\/Problems\/\" title=\"Inspired to make this from here\">more<\/a>] [<a href=\"http:\/\/pastebin.com\/ndFf0yXm\" title=\"Mathematica Code\">code<\/a>]<\/p>\n<\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>matthen: Chaos Theory is a very important area of mathematics which can explain a lot of what we see in the real world. \u00a0A pendulum with one mass is relatively easy to explain mathematically, and it behaves nicely. However if you put another mass in there, it behaves chaotically. Technically, this means that if you [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"gallery","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[],"tags":[1539],"class_list":["post-33089","post","type-post","status-publish","format-gallery","hentry","tag-emergent-digital-practices","post_format-post-format-gallery"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p6PWot-8BH","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/posts\/33089","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/comments?post=33089"}],"version-history":[{"count":1,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/posts\/33089\/revisions"}],"predecessor-version":[{"id":33091,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/posts\/33089\/revisions\/33091"}],"wp:attachment":[{"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/media?parent=33089"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/categories?post=33089"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/rafaelfajardo.com\/portfolio\/wp-json\/wp\/v2\/tags?post=33089"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}