Question

Explicit form for solutions x in $\operatorname{Erfc}(-x) = a \cdot e^{-x^2}$

score 160 · Answer 1 · 2023-09-10 18:03:48

160

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Explicit form for solutions x in $\operatorname{Erfc}(-x) = a \cdot e^{-x^2}$

Published on 10 Sep 2023 - 18:03

score 42 · Answer 2 · 2023-09-12 08:26:04

42

Views

Simplifying the error function

Published on 12 Sep 2023 - 8:26

score 103 · Answer 3 · 2026-02-23 17:26:11

103

Views

Solve $y=\operatorname{erf}(x+c)+\operatorname{erf}(x-c)$ for $x$

Published on 23 Feb 2026 - 17:26

score 29 · Answer 4 · 2023-10-01 23:08:59

29

Views

Trapezoidal and Simpsons rule Error Analysis

Published on 01 Oct 2023 - 23:08

score 75 · Answer 5 · 2026-03-25 14:39:13

75

Views

Evaluate $f(x)=(1−\cos(x))/x$ for arguments $0<x≪1$

Published on 25 Mar 2026 - 14:39

score 72 · Answer 6 · 2023-10-15 10:40:21

72

Views

Sum over recursive sequence with non-constant coefficients

Published on 15 Oct 2023 - 10:40

score 50 · Answer 7 · 2023-10-18 13:57:10

50

Views

Error function equality proof

Published on 18 Oct 2023 - 13:57

score 46 · Answer 8 · 2023-10-18 15:01:16

46

Views

"$\dfrac{x}{\sqrt{2}}$" is neglected so it proves neither A or B, how to fix my proof?

Published on 18 Oct 2023 - 15:01

score 156 · Answer 9 · 2026-03-27 23:20:05

156

Views

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

Published on 27 Mar 2026 - 23:20

score 307 · Answer 10 · 2026-03-27 23:14:16

307

Views

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

Published on 27 Mar 2026 - 23:14

score 232 · Answer 11 · 2026-03-27 18:00:03

232

Views

Approximating for the Error function $\text{erf}(x)$ through an Hyperbolic tangent function $\text{tanh}\left(\dfrac{4x}{4-x^2}\right)$

Published on 27 Mar 2026 - 18:00

score 52 · Answer 12 · 2026-03-27 23:14:24

52

Views

Does the rest of this family of continued fractions have closed forms?

Published on 27 Mar 2026 - 23:14

score 17 · Answer 13 · 2023-10-26 22:28:42

17

Views

Integrable approximation of error function over Gaussian measure

Published on 26 Oct 2023 - 22:28

score 216 · Answer 14 · 2026-03-27 18:02:49

216

Views

How to minimize the maximum absolute difference between 2 functions?: example $\min_a\{\|\text{erf}(x)-\tanh(\frac2{\sqrt{\pi}}(x+a x^3))\|_\infty\}$

Published on 27 Mar 2026 - 18:02

score 13 · Answer 15 · 2026-02-28 18:36:59

13

Views

Why does the quantile function of bivariate normal variables become non-elementary in one dimension?

Published on 28 Feb 2026 - 18:36

List Question

Explicit form for solutions x in $\operatorname{Erfc}(-x) = a \cdot e^{-x^2}$

Simplifying the error function

Solve $y=\operatorname{erf}(x+c)+\operatorname{erf}(x-c)$ for $x$

Trapezoidal and Simpsons rule Error Analysis

Evaluate $f(x)=(1−\cos(x))/x$ for arguments $0<x≪1$

Sum over recursive sequence with non-constant coefficients

Error function equality proof

"$\dfrac{x}{\sqrt{2}}$" is neglected so it proves neither A or B, how to fix my proof?

Expressing Ramanujan's $\sqrt{\frac{\pi\,e}{2}}$ as $two$ continued fractions

On the cubic counterpart of Ramanujan's $\sqrt{\frac{\pi\,e}{2}} =1+\frac{1}{1\cdot3}+\frac{1}{1\cdot3\cdot5}+\frac{1}{1\cdot3\cdot5\cdot7}+\dots$?

Approximating for the Error function $\text{erf}(x)$ through an Hyperbolic tangent function $\text{tanh}\left(\dfrac{4x}{4-x^2}\right)$

Does the rest of this family of continued fractions have closed forms?

Integrable approximation of error function over Gaussian measure

How to minimize the maximum absolute difference between 2 functions?: example $\min_a\{\|\text{erf}(x)-\tanh(\frac2{\sqrt{\pi}}(x+a x^3))\|_\infty\}$

Why does the quantile function of bivariate normal variables become non-elementary in one dimension?

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