FS=1000 #number of discrete values of t between BT and ET #the periodic complex-valued function f(t) with period equal to P f = lambda t: ((t % P) - P/2.) ** 2 + ((t % P) -P/2.) * 1j t_range = ...
This post covers topic of fourier representation of a function. Most signals are represented with a set of exponential functions, resulting in complex exponential functions. If these functions are ...
Amid the chaos of revolutionary France, one man’s mathematical obsession gave way to a calculation that now underpins much of mathematics and physics. The calculation, called the Fourier transform, ...
What is a Fourier Transform? In mathematics, the transformation technique is used for mapping a function into a different function space from its original function space, and when we talk about the ...
Fourier filter-based physics- information convolutional recurrent network for 2D incompressible flow
Physics-informed convolutional recurrent network (PhyCRNet) can solve partial differential equations without labeled data by encoding physics constraints into the loss function. However, the ...
Abstract: The comb function is defined as equidistantly spaced impulses (i.e., an impulse train); it is well known that its Fourier transform also provides a comb function, and is used for a proof of ...
In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...
A full video explanation of the Fourier Series by 3 Blue 1 Brown Youtube Channel. I highly suggest to watch the full video, not only that it is interesting but also a ...
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