Question

What types of fractals have a closed-form interior formula?

score 220 · Answer 1 · 2026-03-27 23:48:39

220

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What types of fractals have a closed-form interior formula?

Published on 27 Mar 2026 - 23:48

score 75 · Answer 2 · 2026-03-25 11:54:14

75

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Evaluation of infinite sum related to problems in elasticity

Published on 25 Mar 2026 - 11:54

score 129 · Answer 3 · 2014-09-17 17:52:51

129

Views

Proving the bound $\left ( 1+\frac{x}{n} \right)^n \leqslant 3^x$, $\forall x \in \mathbb{R^+}$

Published on 17 Sep 2014 - 17:52

score 677 · Answer 4 · 2026-03-28 06:13:24

677

Views

Solve recursion with constant added: $(a_n)$ where $a_1 = 4$ and $a_n = 4a_{n-1} - 4$. Find a closed form for $a_n$.

Published on 28 Mar 2026 - 6:13

score 115 · Answer 5 · 2026-03-25 06:42:05

115

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Spacing of fence posts with minimal distance to other fence posts

Published on 25 Mar 2026 - 6:42

score 43 · Answer 6 · 2014-09-18 19:27:48

43

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Giving a closed expression to $\sum_{i=0}^b (-1)^{b-i} \binom{b}{i}\frac{1}{a+b-i}$

Published on 18 Sep 2014 - 19:27

score 5k · Answer 7 · 2026-03-26 04:29:41

5k

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Proving budget constraint is compact.

Published on 26 Mar 2026 - 4:29

score 800 · Answer 8 · 2014-09-19 06:14:58

800

Views

Closed-form of integral $\int_0^1 \int_0^1 \frac{\arcsin\left(\sqrt{1-s}\sqrt{y}\right)}{\sqrt{1-y} \cdot (sy-y+1)}\,ds\,dy $

Published on 19 Sep 2014 - 6:14

score 3k · Answer 9 · 2026-03-26 01:04:34

3k

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Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $

Published on 26 Mar 2026 - 1:04

score 1k · Answer 10 · 2026-03-28 14:44:15

1k

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Closed form for $\int_1^\infty\frac{\operatorname dx}{\operatorname \Gamma(x)}$

Published on 28 Mar 2026 - 14:44

score 6.3k · Answer 11 · 2026-03-28 06:05:52

6.3k

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Converting Recursive Function into Closed/Explicit Form

Published on 28 Mar 2026 - 6:05

score 187 · Answer 12 · 2014-09-21 12:52:46

187

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Simplifying big expression

Published on 21 Sep 2014 - 12:52

score 116 · Answer 13 · 2026-03-26 21:26:19

116

Views

General term of $(1+x)(1+x^2)(1+x^3)...$?

Published on 26 Mar 2026 - 21:26

score 96 · Answer 14 · 2014-09-23 06:55:46

96

Views

How do you solve these recurrence relations for a closed form?

Published on 23 Sep 2014 - 6:55

score 300 · Answer 15 · 2014-09-23 19:33:46

300

Views

Closed-form of integrals containing double exponentials

Published on 23 Sep 2014 - 19:33

List Question

What types of fractals have a closed-form interior formula?

Evaluation of infinite sum related to problems in elasticity

Proving the bound $\left ( 1+\frac{x}{n} \right)^n \leqslant 3^x$, $\forall x \in \mathbb{R^+}$

Solve recursion with constant added: $(a_n)$ where $a_1 = 4$ and $a_n = 4a_{n-1} - 4$. Find a closed form for $a_n$.

Spacing of fence posts with minimal distance to other fence posts

Giving a closed expression to $\sum_{i=0}^b (-1)^{b-i} \binom{b}{i}\frac{1}{a+b-i}$

Proving budget constraint is compact.

Closed-form of integral $\int_0^1 \int_0^1 \frac{\arcsin\left(\sqrt{1-s}\sqrt{y}\right)}{\sqrt{1-y} \cdot (sy-y+1)}\,ds\,dy $

Closed-form of $\int_0^1 \frac{\operatorname{Li}_2\left( x \right)}{\sqrt{1-x^2}} \,dx $

Closed form for $\int_1^\infty\frac{\operatorname dx}{\operatorname \Gamma(x)}$

Converting Recursive Function into Closed/Explicit Form

Simplifying big expression

General term of $(1+x)(1+x^2)(1+x^3)...$?

How do you solve these recurrence relations for a closed form?

Closed-form of integrals containing double exponentials

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