Question

Is there a way to visualise $ \sum_{k \geq 0} \mathbb{P}(X>k) = \mathbb{E} [X] $?

score 250 · Answer 1 · 2026-03-26 14:29:26

250

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Is there a way to visualise $ \sum_{k \geq 0} \mathbb{P}(X>k) = \mathbb{E} [X] $?

Published on 26 Mar 2026 - 14:29

score 47 · Answer 2 · 2026-04-11 09:10:03

47

Views

What is the result of this sum, for big values of n?

Published on 11 Apr 2026 - 9:10

score 178 · Answer 3 · 2026-04-17 05:31:52

178

Views

Remainder of the sum of consecutive factorials

Published on 17 Apr 2026 - 5:31

score 208 · Answer 4 · 2026-04-15 12:50:20

208

Views

double summation tricks

Published on 15 Apr 2026 - 12:50

score 244 · Answer 5 · 2026-04-16 23:25:39

244

Views

Expansion of the quartic of the sum of $N$ numbers

Published on 16 Apr 2026 - 23:25

score 46 · Answer 6 · 2026-04-09 06:01:31

46

Views

How to simplify the following combination sum?

Published on 09 Apr 2026 - 6:01

score 46 · Answer 7 · 2026-04-30 09:46:35

46

Views

Find largest number $N$

Published on 30 Apr 2026 - 9:46

score 119 · Answer 8 · 2026-04-15 15:22:03

119

Views

Upper bound on the sum $\sum_{n \leq X} C^{\omega(n)}/n$

Published on 15 Apr 2026 - 15:22

score 79 · Answer 9 · 2026-04-18 10:29:26

79

Views

Summation of $\log\left(\frac i2\right)$

Published on 18 Apr 2026 - 10:29

score 235 · Answer 10 · 2026-04-09 00:26:40

235

Views

Substituting in double sum indexes of covariance formula

Published on 09 Apr 2026 - 0:26

score 44 · Answer 11 · 2026-04-08 19:44:44

44

Views

How are there $2^n$ terms in this sum?

Published on 08 Apr 2026 - 19:44

score 31 · Answer 12 · 2026-04-14 21:51:18

31

Views

Is there a closed form expression for $\mathbb{P}[X\leq np]$, $X \sim $ Bin$(n,p)$?

Published on 14 Apr 2026 - 21:51

score 131 · Answer 13 · 2026-04-16 14:22:19

131

Views

$\sum_{i=0}^{n}{\prod_{j=0\\j\not=i}^{n}\frac{x-x_j}{x_i-x_j}}=1$

Published on 16 Apr 2026 - 14:22

score 139 · Answer 14 · 2026-04-16 18:43:54

139

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Computation of: $\lim_{n\to\infty}\left(\ln\left(1+\frac{1}{n^2+1}\right)^n+\ldots+\ln\left(1+\frac{1}{n^2+n}\right)^n\right)$

Published on 16 Apr 2026 - 18:43

score 95 · Answer 15 · 2026-04-18 02:58:28

95

Views

Clarification of summation upper bound in $\sum_{p\text{ prime}} \frac{1}{2^p}$

Published on 18 Apr 2026 - 2:58

List Question

Is there a way to visualise $ \sum_{k \geq 0} \mathbb{P}(X>k) = \mathbb{E} [X] $?

What is the result of this sum, for big values of n?

Remainder of the sum of consecutive factorials

double summation tricks

Expansion of the quartic of the sum of $N$ numbers

How to simplify the following combination sum?

Find largest number $N$

Upper bound on the sum $\sum_{n \leq X} C^{\omega(n)}/n$

Summation of $\log\left(\frac i2\right)$

Substituting in double sum indexes of covariance formula

How are there $2^n$ terms in this sum?

Is there a closed form expression for $\mathbb{P}[X\leq np]$, $X \sim $ Bin$(n,p)$?

$\sum_{i=0}^{n}{\prod_{j=0\\j\not=i}^{n}\frac{x-x_j}{x_i-x_j}}=1$

Computation of: $\lim_{n\to\infty}\left(\ln\left(1+\frac{1}{n^2+1}\right)^n+\ldots+\ln\left(1+\frac{1}{n^2+n}\right)^n\right)$

Clarification of summation upper bound in $\sum_{p\text{ prime}} \frac{1}{2^p}$

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