define Gaussian integration
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The Gaussian integral, also called the probability integral and closely related to the erf function, is the integral of the one-dimensional Gaussian function over . It can be computed using the trick of combining two one-dimensional Gaussians.
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- The Gaussian integral, also known as the Euler–Poisson integral, is the integral of the Gaussian function {\displaystyle f(x)=e^{-x^{2}}} over the entire real line. Named after the German mathematician Carl Friedrich Gauss, the integral is
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