Math, asked by Anonymous, 7 months ago

define Laplace transform and Fourier series​

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Answered by Anonymous
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Step-by-step explanation:

In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable (often time) to a function of a complex variable. (complex frequency).

an infinite series of trigonometric functions which represents an expansion or approximation of a periodic function, used in Fourier analysis.

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Answered by JBoo7
1

Answer:

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Laplace transform

In mathematics, the Laplace transform, named after its inventor Pierre-Simon Laplace, is an integral transform that converts a function of a real variable to a function of a complex variable. The transform has many applications in science and engineering because it is a tool for solving differential equations.

Fourier series​

In mathematics, a Fourier series is a periodic function composed of harmonically related sinusoids, combined by a weighted summation. With appropriate weights, one cycle of the summation can be made to approximate an arbitrary function in that interval. As such, the summation is a synthesis of another function.

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