List questions from approximation

Published on 02 Apr 2026 - 1:01

161

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How to solve this using using stirling approx?

Published on 08 Apr 2026 - 19:59

405

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Approximation using Euler's method.

Published on 27 Sep 2013 - 0:32

2.4k

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A strange "pattern" in the continued fraction convergents of pi?

Published on 29 Mar 2026 - 11:20

179

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Why does this pattern fail (sometimes) for the continued fraction convergents of $\sqrt{2}$?

Published on 29 Mar 2026 - 11:09

182

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How many solutions to $x^3+y^3 = z^3\pm 1$ for $z$ less than a bound?

Published on 29 Sep 2013 - 19:28

90

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An integral which when evaluated leads to a better bound on a familiar constant. What is the bound and the constant?

Published on 02 Apr 2026 - 13:43

619

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Projectile Trajectory with Air Drag

Published on 03 Oct 2013 - 4:01

641

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Brownian bridge distribution: $\sup_{a \leq u \leq b} \frac{|W^0(u)|}{\sqrt{u(1-u)}}, 0 < a < b <1 $

Published on 05 Oct 2013 - 0:37

1.2k

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On Shanks' quartic approximation $\pi \approx \frac{6}{\sqrt{3502}}\ln(2u)$

Published on 02 Apr 2026 - 15:43

282

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Solving a set of linear equations for variables with non-constant values

Published on 05 Oct 2013 - 19:56

1k

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About continued fractions as best rational approximations

Published on 08 Apr 2026 - 16:58

1.3k

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How is $\frac{\big(\frac{3}{2}\big)^{99}-1}{\big(\frac{3}{2}\big)^{100}-1}\approx\frac{1}{\big(\frac{3}{2}\big)}$

Published on 07 Oct 2013 - 7:14

9.2k

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approximating a maximum function by a differentiable function

Published on 07 Oct 2013 - 8:01

330

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Minimum moves to transform a list to another?

Published on 08 Apr 2026 - 8:16

List Question

Order of magnitude of a variable.

How to solve this using using stirling approx?

Approximation using Euler's method.

A strange "pattern" in the continued fraction convergents of pi?

Why does this pattern fail (sometimes) for the continued fraction convergents of $\sqrt{2}$?

How many solutions to $x^3+y^3 = z^3\pm 1$ for $z$ less than a bound?

An integral which when evaluated leads to a better bound on a familiar constant. What is the bound and the constant?

Projectile Trajectory with Air Drag

Brownian bridge distribution: $\sup_{a \leq u \leq b} \frac{|W^0(u)|}{\sqrt{u(1-u)}}, 0 < a < b <1 $

On Shanks' quartic approximation $\pi \approx \frac{6}{\sqrt{3502}}\ln(2u)$

Solving a set of linear equations for variables with non-constant values

About continued fractions as best rational approximations

How is $\frac{\big(\frac{3}{2}\big)^{99}-1}{\big(\frac{3}{2}\big)^{100}-1}\approx\frac{1}{\big(\frac{3}{2}\big)}$

approximating a maximum function by a differentiable function

Minimum moves to transform a list to another?

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