{"id":1699,"date":"2014-05-23T13:26:31","date_gmt":"2014-05-23T17:26:31","guid":{"rendered":"http:\/\/blog.carlrobitaille.org\/2014\/05\/23\/videotitle-15\/"},"modified":"2018-11-12T09:28:57","modified_gmt":"2018-11-12T14:28:57","slug":"visualisation-of-the-first-4-terms-of-the-fourier-series-of-a-square-wave","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=1699","title":{"rendered":"Visualisation of the first 4 terms of the Fourier series of a square wave"},"content":{"rendered":"<p><b>Google+ reshared post<\/b><\/p>\n<blockquote><p><b>Visualisation of the first 4 terms of the Fourier series of a square wave<\/b><br \/>Join the Simple Science and Interesting Things Community and share interesting stuff!<br \/><a rel=\"nofollow\" target=\"_blank\" href=\"https:\/\/plus.google.com\/communities\/117518490246975838002\" class=\"ot-anchor bidi_isolate\" jslog=\"10929; track:click\" dir=\"ltr\">https:\/\/plus.google.com\/communities\/117518490246975838002<\/a>\ufeff<\/p>\n<p><i>In mathematics, a Fourier series (English pronunciation: \/\u02c8f\u0254\u0259rie\u026a\/) is a way to represent a wave-like function as a combination of simple sine waves. More formally, it decomposes any periodic function or periodic signal into the sum of a (possibly infinite) set of simple oscillating functions, namely sines and cosines (or complex exponentials)<\/i><br \/><a rel=\"nofollow\" target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/Fourier_series\" class=\"ot-anchor bidi_isolate\" jslog=\"10929; track:click\" dir=\"ltr\">http:\/\/en.wikipedia.org\/wiki\/Fourier_series<\/a><\/p>\n<p><a rel=\"nofollow\" target=\"_blank\" href=\"http:\/\/en.wikipedia.org\/wiki\/File:Fourier_series_square_wave_circles_animation.gif\" class=\"ot-anchor bidi_isolate\" jslog=\"10929; track:click\" dir=\"ltr\">http:\/\/en.wikipedia.org\/wiki\/File:Fourier_series_square_wave_circles_animation.gif<\/a><\/p><\/blockquote>\n<p><img decoding=\"async\" src=\"https:\/\/lh3.googleusercontent.com\/-jlyhn1O1x6k\/U37e-5LhheI\/AAAAAAAAiwA\/6ArBlEMtfpo\/w256-h256\/Fourier_series_square_wave_circles_animation.gif\" alt=\"\" \/><\/p>\n<p>Import\u00e9 de <a href=\"https:\/\/plus.google.com\/104239776541827516598\/posts\/8mXsXJ38FmJ\">Google+<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Google+ reshared post Visualisation of the first 4 terms of the Fourier series of a square waveJoin the Simple Science and Interesting Things Community and share interesting stuff!https:\/\/plus.google.com\/communities\/117518490246975838002\ufeff In mathematics, a Fourier series (English pronunciation: \/\u02c8f\u0254\u0259rie\u026a\/) is a way to &hellip; <a href=\"https:\/\/blog.carlrobitaille.org\/?p=1699\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-1699","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1699","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1699"}],"version-history":[{"count":2,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1699\/revisions"}],"predecessor-version":[{"id":1721,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/1699\/revisions\/1721"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1699"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1699"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1699"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}