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Grammar fix (#32744)

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Fixed Grammar according to the context
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vishvikkrishnan
2019-01-21 21:55:19 +05:30
committed by Tom
parent 701d27d593
commit 6655a3c2c7
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guide/english/mathematics/fourier-series/index.md
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@ -3,7 +3,7 @@ title: Fourier Series
--- ---
## Fourier Series ## Fourier Series
Fourier Series represent some function as a sum of sines and cosines. This can be done through applying a Fourier Transform on some function. There are many different kinds of Fourier Transforms, such as continuous, discrete, finite, and infinite. Here's a simple use case for a Fourier Transform: Say you would like to approximate a square wave algebraically. The best way to do this would be to apply a Fourier Transform, yielding a Fourier Series. This new series can be approximated using Taylor Series, so the sum of sines and cosines will become a sum of polynomials, which are easy for a computer to calculate. Fourier Series are studied today, in a field called "Fourier Analysis". For an intuitive understanding of the transform, read the "BetterExplained" article in the information section below. For a jumping off point into the academic/engineering applications of Fourier Series, see the Wikipedia article below. Fourier Series represent some function as a sum of sines and cosines. This can be done by applying a Fourier Transform on some functions. There are many different kinds of Fourier Transforms, such as continuous, discrete, finite, and infinite. Here's a simple usecase for a Fourier Transform: Say you would like to approximate a square wave algebraically. The best way to do this would be to apply a Fourier Transform, yielding a Fourier Series. This new series can be approximated using Taylor Series, so the sum of sines and cosines will become a sum of polynomials, which is easy for a computer to calculate. Fourier Series are studied today, in a field called "Fourier Analysis". For an intuitive understanding of the transform, read the "BetterExplained" article in the information section below. For a jumping off point into the academic/engineering applications of Fourier Series, see the Wikipedia article below.
#### More Information: #### More Information:
* [Wikipedia on Fourier Series](https://en.wikipedia.org/wiki/Fourier_series) * [Wikipedia on Fourier Series](https://en.wikipedia.org/wiki/Fourier_series)