Question

Factoring inequalities using Iverson identity - confused by double summations in Concrete Mathematics book

score 66 · Answer 1 · 2026-04-09 06:07:32

66

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Factoring inequalities using Iverson identity - confused by double summations in Concrete Mathematics book

Published on 09 Apr 2026 - 6:07

score 199 · Answer 2 · 2026-05-11 09:35:41

199

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Confusion with elimination of index variable if it does not appear in the summand - Concrete Mathematics, D.Knuth

Published on 11 May 2026 - 9:35

score 70 · Answer 3 · 2026-04-11 15:18:35

70

Views

Do not understand what is meant by "in terms of n"

Published on 11 Apr 2026 - 15:18

score 165 · Answer 4 · 2026-04-15 20:00:04

165

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Find the value of $a_{0}^{2}-a_{1}^{2}+a_{2}^{2}- \dots+a_{2 n}^{2}$

Published on 15 Apr 2026 - 20:00

score 88 · Answer 5 · 2026-04-10 06:16:10

88

Views

How do you evaluate a summation with variables in the parameters?

Published on 10 Apr 2026 - 6:16

score 70 · Answer 6 · 2026-04-09 17:15:32

70

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calculating $\lim_{n\to\infty}\frac{1}{n}\sum_{i=-\frac{nf}{2}}^{\frac{nf}{2}}e^{-(\frac{1}{n^2}+\alpha)i^2}$

Published on 09 Apr 2026 - 17:15

score 400 · Answer 7 · 2026-04-13 23:42:55

400

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How do I evaluate $\sum_{k = 1}^{\infty}\big[\frac{(-1)^{k - 1}}{k}\sum_{n = 0}^{\infty}\big\{\frac{1}{k(2^n) + 1}\big\}\big]$?

Published on 13 Apr 2026 - 23:42

score 63 · Answer 8 · 2026-04-17 07:35:54

63

Views

Closed form expression for sequence of values created by differently signed series

Published on 17 Apr 2026 - 7:35

score 44 · Answer 9 · 2026-04-17 05:53:32

44

Views

Why does this relation $\sum ^{k}_{n=m} f( n) =\int\limits ^{k+1}_{m} f(\lfloor x\rfloor ) dx$ not apply here?

Published on 17 Apr 2026 - 5:53

score 161 · Answer 10 · 2026-04-17 11:24:49

161

Views

How is $nq-1 = \sum_{m=0}^n (m-1){n \choose m} p^{n-m}q^m$

Published on 17 Apr 2026 - 11:24

score 132 · Answer 11 · 2026-04-16 06:24:31

132

Views

Proving $\lim_{n\to\infty}\frac1n\sum_{i=0}^{n-1}\sum_{j=n}^{n+i}\frac{\binom{n+i}j}{2^{n+i}}=0$

Published on 16 Apr 2026 - 6:24

score 119 · Answer 12 · 2026-05-10 17:38:26

119

Views

Prove that $21(a^2+b^2+c^2)\ge 20 +9(a^3+b^3+c^3)$

Published on 10 May 2026 - 17:38

score 82 · Answer 13 · 2026-04-14 09:29:28

82

Views

Prove that the total weighted mean sum of $n$ rationals within $[0,1]$ tends to $\frac{1}{2}$ as $n \to \infty$

Published on 14 Apr 2026 - 9:29

score 257 · Answer 14 · 2026-04-23 21:49:15

257

Views

Double sum identity involving binomial coefficients, possibly connected to umbral calculus

Published on 23 Apr 2026 - 21:49

score 83 · Answer 15 · 2026-04-15 07:54:16

83

Views

Prove that $\sum_n 2^nx^n=\frac{1}{1-2x}$

Published on 15 Apr 2026 - 7:54

List Question

Factoring inequalities using Iverson identity - confused by double summations in Concrete Mathematics book

Confusion with elimination of index variable if it does not appear in the summand - Concrete Mathematics, D.Knuth

Do not understand what is meant by "in terms of n"

Find the value of $a_{0}^{2}-a_{1}^{2}+a_{2}^{2}- \dots+a_{2 n}^{2}$

How do you evaluate a summation with variables in the parameters?

calculating $\lim_{n\to\infty}\frac{1}{n}\sum_{i=-\frac{nf}{2}}^{\frac{nf}{2}}e^{-(\frac{1}{n^2}+\alpha)i^2}$

How do I evaluate $\sum_{k = 1}^{\infty}\big[\frac{(-1)^{k - 1}}{k}\sum_{n = 0}^{\infty}\big\{\frac{1}{k(2^n) + 1}\big\}\big]$?

Closed form expression for sequence of values created by differently signed series

Why does this relation $\sum ^{k}_{n=m} f( n) =\int\limits ^{k+1}_{m} f(\lfloor x\rfloor ) dx$ not apply here?

How is $nq-1 = \sum_{m=0}^n (m-1){n \choose m} p^{n-m}q^m$

Proving $\lim_{n\to\infty}\frac1n\sum_{i=0}^{n-1}\sum_{j=n}^{n+i}\frac{\binom{n+i}j}{2^{n+i}}=0$

Prove that $21(a^2+b^2+c^2)\ge 20 +9(a^3+b^3+c^3)$

Prove that the total weighted mean sum of $n$ rationals within $[0,1]$ tends to $\frac{1}{2}$ as $n \to \infty$

Double sum identity involving binomial coefficients, possibly connected to umbral calculus

Prove that $\sum_n 2^nx^n=\frac{1}{1-2x}$

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