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An Example of a Self-Reciprocal Function in Fourier Transform
As an example of a self-reciprocal function in the Fourier transform, we introduce |t|^(-1/2).
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On Avoiding Omissions in Mathematics
On the pursuit of truth and the importance of making concepts understandable to others.
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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.