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Proof of the Gaussian Integral Using the Wallis Integral
Calculate the Gaussian integral using the Wallis integral.
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Wallis' Formula
This article discusses Wallis’ formula, which provides an approximation of the intermediate binomial coefficients.
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Returning a NumPy Array as an Evaluatable String with array_repr()
Discussing the function array_repr() which returns a NumPy array as an evaluatable string.
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Multiple Definitions of the Fourier Transform
Discusses various conventions for defining the Fourier transform.
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Fourier Transform of the Probability Density Function of the Normal Distribution (Gaussian Function)
Calculating Fourier transform of the probability density function of the normal distribution.
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How to Use FFT (NumPy, SciPy)
Explains how to use FFT, one of the basic tools in signal processing.
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Cantor Set
This text describes the Cantor set, a null set with the cardinality of the continuum.