Question

Find $\inf\limits_{p_{n}\in\bar{\prod}_{n}}\max\limits_{x\in[a,b]}|p_{n}(x)|$ where $p_{n}$: monic polynomial.

score 34 · Answer 1 · 2016-12-31 08:24:38

34

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Find $\inf\limits_{p_{n}\in\bar{\prod}_{n}}\max\limits_{x\in[a,b]}|p_{n}(x)|$ where $p_{n}$: monic polynomial.

Published on 31 Dec 2016 - 8:24

score 287 · Answer 2 · 2017-01-09 12:49:11

287

Views

Prove $1+\frac13 \left(1+\frac15 \left(1+\frac17 (1+\dots ) \right) \right)=\sqrt{\frac{\pi e}{2}} \text{erf} \left( \frac{1}{\sqrt{2}} \right)$

Published on 09 Jan 2017 - 12:49

score 261 · Answer 3 · 2026-03-26 21:05:46

261

Views

Gaussian integrals with cumulative normals

Published on 26 Mar 2026 - 21:05

score 352 · Answer 4 · 2017-01-25 22:53:52

352

Views

Leibniz rule for error function

Published on 25 Jan 2017 - 22:53

score 488 · Answer 5 · 2017-01-30 13:23:08

488

Views

Integral of product of two error complementary functions (erfc)

Published on 30 Jan 2017 - 13:23

score 150 · Answer 6 · 2017-01-30 23:41:11

150

Views

Aproximation to function of error function

Published on 30 Jan 2017 - 23:41

score 550 · Answer 7 · 2017-02-04 15:46:41

550

Views

Closed form for $\int_{0}^{\infty }\!{\rm erf} \left(cx\right) \left( {\rm erf} \left(x \right) \right) ^{2}{{\rm e}^{-{x}^{2}}}\,{\rm d}x$

Published on 04 Feb 2017 - 15:46

score 924 · Answer 8 · 2017-02-04 18:15:21

924

Views

Good upper bound for $1-\operatorname{Erf}(x)$

Published on 04 Feb 2017 - 18:15

score 145 · Answer 9 · 2017-02-15 15:21:54

145

Views

Show: $\lim\limits_{y \to +\infty}\left [\frac{1}{\sqrt{\pi}e^{y^2}(1-\text{erf}(y))}-y\right]=0.$

Published on 15 Feb 2017 - 15:21

score 355 · Answer 10 · 2017-02-26 06:00:26

355

Views

Which is the correct degree of the taylor polynomial of this question?

Published on 26 Feb 2017 - 6:00

score 67 · Answer 11 · 2017-02-28 12:49:57

67

Views

What is the error of this numerical integration

Published on 28 Feb 2017 - 12:49

score 1.6k · Answer 12 · 2017-03-09 21:51:21

1.6k

Views

Find the solution of the diffusion equation for a given initial condition in terms of the error function

Published on 09 Mar 2017 - 21:51

score 792 · Answer 13 · 2017-03-10 22:47:18

792

Views

Definite Integral $x^{n} e^{x^2} $

Published on 10 Mar 2017 - 22:47

score 747 · Answer 14 · 2017-03-17 00:49:16

747

Views

Fractional part of normally distributed variable

Published on 17 Mar 2017 - 0:49

score 5.2k · Answer 15 · 2017-03-22 20:11:01

5.2k

Views

What is this O function?

Published on 22 Mar 2017 - 20:11

List Question

Find $\inf\limits_{p_{n}\in\bar{\prod}_{n}}\max\limits_{x\in[a,b]}|p_{n}(x)|$ where $p_{n}$: monic polynomial.

Prove $1+\frac13 \left(1+\frac15 \left(1+\frac17 (1+\dots ) \right) \right)=\sqrt{\frac{\pi e}{2}} \text{erf} \left( \frac{1}{\sqrt{2}} \right)$

Gaussian integrals with cumulative normals

Leibniz rule for error function

Integral of product of two error complementary functions (erfc)

Aproximation to function of error function

Closed form for $\int_{0}^{\infty }\!{\rm erf} \left(cx\right) \left( {\rm erf} \left(x \right) \right) ^{2}{{\rm e}^{-{x}^{2}}}\,{\rm d}x$

Good upper bound for $1-\operatorname{Erf}(x)$

Show: $\lim\limits_{y \to +\infty}\left [\frac{1}{\sqrt{\pi}e^{y^2}(1-\text{erf}(y))}-y\right]=0.$

Which is the correct degree of the taylor polynomial of this question?

What is the error of this numerical integration

Find the solution of the diffusion equation for a given initial condition in terms of the error function

Definite Integral $x^{n} e^{x^2} $

Fractional part of normally distributed variable

What is this O function?

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