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Difference between the Error function and Normal distribution function?

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#normal-distribution #error-function
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Modeling Gaussian components with standard vs exact functions

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#normal-distribution #mathematical-modeling #error-function
129
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Prove $e^x=1+\frac{1}{\sqrt{\pi }}{\int_0^x \frac{e^t \text{erf}\left(\sqrt{t}\right)}{\sqrt{x-t}} \, dt}$

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#complex-analysis #definite-integrals #error-function
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Integral of $e^{-x^{2}}$ and the error function

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#calculus #integration #error-function
113
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Show that this conversion between $\Phi$ and erf(z) holds for all z

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#normal-distribution #error-function
815
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Solving Partial Differential Equation with Self-similar Solution

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#partial-differential-equations #definite-integrals #indefinite-integrals #error-function
62
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Existence of solution for equation with erfc

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#special-functions #transcendental-equations #error-function
259
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Inverse error function, its analytic continuation and Hardy space

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#complex-analysis #reference-request #error-function #hardy-spaces
1.8k
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Integral of the error function

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#calculus #error-function
2.5k
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Inverse Laplace Transform and error function

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#inverse #laplace-transform #error-function
88
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Hint for integrating exp(x-x^2)

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#integration #normal-distribution #error-function
1.7k
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Proof that Normal Distribution is Normalized

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#probability-distributions #normal-distribution #error-function
320
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differential equation with $e^{x-t^2/2}$

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#integration #ordinary-differential-equations #error-function
134
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How are subtraction operations better conditioned than addition?

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#numerical-methods #error-function
583
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integral involving error function (erf)

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#integration #logarithms #approximation #closed-form #error-function

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