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- Named after Joseph Fourier Oregon State University: FFT History
- Used to describe and solve periodic functions in the fields of acoustics, physics, number theory, probability, statistics and other areas e-dsp.com: What are Fourier Series? University of Exeter: Fourier Analysis and number theory
- Variants include the fast Fourier transform and discrete-time Fourier transform Oregon State University: FFT HistoryStanford: Discrete Time Fourier Transform
- Notable contributors: James W Cooley and John Tukey IEEE: James Cooley University of Minnesota: John Tukey
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Fourier analysis, based off of the Fourier series, is a breakdown of a function in terms of a sum of its basis functions. In other words, in Fourier analysis, a complicated equation can be broken down into several simpler equations. On its discovery, Fourier analysis allowed the solving of many previously unsolvable mathematical problems. e-dsp.com: What are Fourier Series?
Functions
A function is a mathematical equation that manipulates a number. Not all equations are functions. For an equation to be a function, each input into the function must have a discrete output. If two inputs into the function give the same output, then the equation is not a function. Functions can be represented as equations or graphically. Purple math: Functions versus relations-
Fourier Analysis Questions
About Lebesgue integration... 2 AnswersDon't get freaked by Lebesgue integration! It's effectively a means to identify functions that are 'integrable' in a way that Riemann integration can't address... read more
Is there a web app that provides data analysis of keywords a blog uses for its post titles? 3 AnswersWhy don't you use Google Analytics? It lets you check the pages (title), keywords on entry, top content and extras like where visitors country, etc. Twitter has... read more
Whats a good site to use for learning the basics of structural analysis as it pertains to civil engineering? 1 AnswerMIT OpenCourseWare has entire classes online and free. Here are the ones for civil engineering, including Solid Mechanics: http://ocw.mit.edu/OcwWeb/Civil-and... read more -



