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Laplace and Fourier Series
Essay specific features
Written by:
Paula H
Date added:
March 2, 2015
Level:
University
Grade:
A
No of pages / words:
1 / 260
Was viewed:
5974 times
Rating of current essay:
Essay content:
It’s used for solving differential and integral equations. In physics, it is used for analysis of linear time-invariant systems such as electrical circuits, harmonic oscillators, optical devices, and mechanical systems. In this analysis, the Laplace transform is often interpreted as a transformation from the time-domain, in which inputs and outputs are functions of time, to the frequency-domain, where the same inputs and outputs are functions of complex angular frequency, or radians per unit time...
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Given a simple mathematical or functional description of an input or output to a system, the Laplace transform provides an alternative functional description that often simplifies the process of analyzing the behavior of the system, or in synthesizing a new system based on a set of specifications.
Fourier Series allows you to represent complicated periodic functions in terms of the simpler sines and cosines...
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