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Intuition for $N(\mu, \sigma^2)$ in terms of its infinite expansion
probability-theory
normal-distribution
lebesgue-measure
central-limit-theorem
gaussian-integral
Show that integral of Gaussian distribution is 1
integration
gaussian-integral
Integrating:$\int\limits_0 ^ {\infty}e^{-x^2}\ln(x)dx $
integration
definite-integrals
gaussian-integral
euler-mascheroni-constant
Computing the integral $\int \exp(ix^2) dx$
calculus
integration
gaussian-integral
Two-Dimensional Gaussian integral in complex coordinates.
complex-analysis
reference-request
mathematical-physics
gaussian-integral
Gaussian integral with error function
integration
definite-integrals
change-of-variable
gaussian-integral
error-function
Compute multivariate complex Gaussian integral
calculus
complex-analysis
contour-integration
gaussian-integral
Why can $\int_{x=0}^{\infty} x\,\mathrm{e}^{-\alpha x^2}\mathrm {d}x$ not be evaluated by parts to obtain $\frac{1}{2\alpha}$?
calculus
integration
definite-integrals
exponentiation
gaussian-integral
Complex Gaussian Integral by change of variable
integration
complex-analysis
definite-integrals
gaussian-integral
Derive the quadrature rule of the form $\int_{-1}^1 f(x) dx \approx w_0 f(\alpha) + w_1 f'(\beta)$
numerical-methods
gaussian-integral
quadrature
Is $g(x)= \frac{x_1^2}{r_1^2}+\frac{x_2^2}{r_2^2}- c$ a unique solution of $E[g(Z)\mid M=\mu]=0, \forall \mu \in \text{ellipse } C$ for $Z$ Gaussian
real-analysis
functional-analysis
probability-theory
expected-value
gaussian-integral
Arnold Trivium Problem 39
calculus
multivariable-calculus
notation
vector-analysis
gaussian-integral
When evaluating a definite integral by integrating by parts is the following allowed?
integration
definite-integrals
gaussian-integral
Entropy of the multivariate Gaussian
multivariable-calculus
entropy
gaussian-integral
Polar Coordinate Transformation - Motivation
integration
polar-coordinates
substitution
gaussian-integral
Limit of integral with Parseval
limits
improper-integrals
fourier-transform
gaussian-integral
parsevals-identity
Integral Involving Gaussian Q function and exponential
integration
exponential-function
gaussian-integral
Which functions are tempered distributions?
functional-analysis
fourier-analysis
distribution-theory
gaussian-integral
What is the second step of this standard normal MGF derivation?
integration
exponential-function
gaussian-integral
Gaussian Integral using contour integration with a parallelogram contour
contour-integration
residue-calculus
gaussian-integral
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