Question

$\int_{-\infty}^{\infty} e^{-2ax^2}dx=\frac{\sqrt{\pi}}{\sqrt{2a}}$

score 393 · Answer 1 · 2018-05-27 11:16:43

393

Views

$\int_{-\infty}^{\infty} e^{-2ax^2}dx=\frac{\sqrt{\pi}}{\sqrt{2a}}$

Published on 27 May 2018 - 11:16

score 210 · Answer 2 · 2018-05-31 02:04:24

210

Views

What is the series representation of $\int_{0}^{t} \exp(-x^n)\, dx$ where $n$ is a positive integer?

Published on 31 May 2018 - 2:04

score 181 · Answer 3 · 2026-03-25 23:39:14

181

Views

behavior of :$\int_{-1}^1x^{2k} \operatorname{erf}(x)^k \,dx $?

Published on 25 Mar 2026 - 23:39

score 161 · Answer 4 · 2026-03-25 09:49:55

161

Views

Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Published on 25 Mar 2026 - 9:49

score 166 · Answer 5 · 2026-03-25 01:18:46

166

Views

Is this really true :$\int_{1}^{n}\frac{dx}{\operatorname{\\erf(x)}}= n -\alpha$ with $\alpha$ is constant and $n >1$?

Published on 25 Mar 2026 - 1:18

score 98 · Answer 6 · 2026-03-22 09:58:37

98

Views

Solve equation involving error function

Published on 22 Mar 2026 - 9:58

score 382 · Answer 7 · 2018-06-06 18:32:40

382

Views

Prove that an entire function has at least one complex zero

Published on 06 Jun 2018 - 18:32

score 876 · Answer 8 · 2026-03-22 08:02:42

876

Views

Limit of error function in complex argument

Published on 22 Mar 2026 - 8:02

score 40 · Answer 9 · 2026-03-25 09:25:24

40

Views

Is there a relation between autocorrelation and probability?How to know $E[X^2(t+1)]$ when knowing $E[X^2]$

Published on 25 Mar 2026 - 9:25

score 75 · Answer 10 · 2026-03-25 16:03:20

75

Views

why is it equal to $\int^{\infty}_{1} \frac{1}{\sqrt{2\pi \sigma^2}}e^{-\frac{x^2}{2\sigma^2}}dx$ directly

Published on 25 Mar 2026 - 16:03

score 32 · Answer 11 · 2018-06-27 03:21:15

32

Views

Carrying forward the summation symbol when differentiating $E = \dfrac{1}{2} \sum (z - t)^2 $?

Published on 27 Jun 2018 - 3:21

score 159 · Answer 12 · 2018-06-29 04:30:07

159

Views

Integrating the error function of $\frac{a}{\sqrt{x^2+b^2}}$

Published on 29 Jun 2018 - 4:30

score 266 · Answer 13 · 2026-03-22 09:43:45

266

Views

Integral of product of error function difference

Published on 22 Mar 2026 - 9:43

score 94 · Answer 14 · 2026-03-25 12:20:56

94

Views

Correctly Differentiating (Cross Entropy and Other) Error Functions

Published on 25 Mar 2026 - 12:20

score 48 · Answer 15 · 2026-03-25 12:15:25

48

Views

$\frac{ \partial{E} }{ \partial{s} } = \frac{ \partial{E} }{ \partial{z} } \frac{ \partial{z} }{ \partial{s} } = z - t$?

Published on 25 Mar 2026 - 12:15

List Question

$\int_{-\infty}^{\infty} e^{-2ax^2}dx=\frac{\sqrt{\pi}}{\sqrt{2a}}$

What is the series representation of $\int_{0}^{t} \exp(-x^n)\, dx$ where $n$ is a positive integer?

behavior of :$\int_{-1}^1x^{2k} \operatorname{erf}(x)^k \,dx $?

Closed form of $ \int_{-1}^{1} \operatorname{erf}(x)^n \,dx $ for $ n$ is positive even integer

Is this really true :$\int_{1}^{n}\frac{dx}{\operatorname{\\erf(x)}}= n -\alpha$ with $\alpha$ is constant and $n >1$?

Solve equation involving error function

Prove that an entire function has at least one complex zero

Limit of error function in complex argument

Is there a relation between autocorrelation and probability?How to know $E[X^2(t+1)]$ when knowing $E[X^2]$

why is it equal to $\int^{\infty}_{1} \frac{1}{\sqrt{2\pi \sigma^2}}e^{-\frac{x^2}{2\sigma^2}}dx$ directly

Carrying forward the summation symbol when differentiating $E = \dfrac{1}{2} \sum (z - t)^2 $?

Integrating the error function of $\frac{a}{\sqrt{x^2+b^2}}$

Integral of product of error function difference

Correctly Differentiating (Cross Entropy and Other) Error Functions

$\frac{ \partial{E} }{ \partial{s} } = \frac{ \partial{E} }{ \partial{z} } \frac{ \partial{z} }{ \partial{s} } = z - t$?

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