Question

Is there a principled way of turning sum notation into more compact vector notation?

score 144 · Answer 1 · 2026-04-12 13:30:26

144

Views

Is there a principled way of turning sum notation into more compact vector notation?

Published on 12 Apr 2026 - 13:30

score 57 · Answer 2 · 2026-04-15 06:01:37

57

Views

Why is $1 = \sum_{k \geq 1} \mathbb{1}_{ \{N=k\} }$

Published on 15 Apr 2026 - 6:01

score 32 · Answer 3 · 2026-04-17 05:30:02

32

Views

Query about summation in derivation of complex fourier series

Published on 17 Apr 2026 - 5:30

score 21 · Answer 4 · 2026-04-13 16:04:25

21

Views

Can this equation be solved for $N_{mpn}$?

Published on 13 Apr 2026 - 16:04

score 66 · Answer 5 · 2026-04-17 00:40:20

66

Views

Find $\left\lfloor\sum{n\over n^4+n^2+1}\right\rfloor-\left\lfloor\sum{n^2\over n^8+n^4+1}\right\rfloor$

Published on 17 Apr 2026 - 0:40

score 107 · Answer 6 · 2026-04-15 22:00:41

107

Views

Prove $\frac{1}{a}\int_{0}^1 \frac{\sin{ax}}{e^x-1}dx=\frac{1}{2a^2}(1+a\pi\frac{e^{a\pi}+e^{-a\pi}}{e^{a\pi}-e^{a\pi}})$

Published on 15 Apr 2026 - 22:00

score 36 · Answer 7 · 2026-04-16 06:15:16

36

Views

Finding a specific series sum $\sum_{k=1}^{i-1}(\frac{((ak^3+a(1-2i+2n)k^2+2b)}{2ak})^{-1}$

Published on 16 Apr 2026 - 6:15

score 41 · Answer 8 · 2026-04-14 11:19:22

41

Views

Conditional card drawing probability question

Published on 14 Apr 2026 - 11:19

score 49 · Answer 9 · 2026-04-13 11:17:45

49

Views

How does one determine that $\sum_{k=1}^{n} \frac{1}{(n+k)(n+k+1)}$ evaluates to $\frac{n}{2n^2+3n+1}$?

Published on 13 Apr 2026 - 11:17

score 30 · Answer 10 · 2026-04-14 17:21:43

30

Views

Conditional probabilities of a shuffled deck of cards

Published on 14 Apr 2026 - 17:21

score 158 · Answer 11 · 2026-04-13 22:30:34

158

Views

Finding the sum of series involving factorials and combinatorics in denominator and/or numerator

Published on 13 Apr 2026 - 22:30

score 22 · Answer 12 · 2026-04-10 16:44:55

22

Views

How can I properly convert a sum of spherical waves to a definite integral?

Published on 10 Apr 2026 - 16:44

score 144 · Answer 13 · 2026-04-11 17:04:45

144

Views

Evaluating the sum $\sum_{k=1}^n \frac{k!}{(k+a)!}$ for a parameter $a$

Published on 11 Apr 2026 - 17:04

score 154 · Answer 14 · 2026-04-12 00:56:45

154

Views

Is there a standard definition of $\sum_{-\infty}^{+\infty} a_n$?

Published on 12 Apr 2026 - 0:56

score 86 · Answer 15 · 2026-04-15 10:23:32

86

Views

Prove that $\sum_{k=1}^{89} \frac{1}{\tan^3(k^\circ)+1}=44.5$

Published on 15 Apr 2026 - 10:23

List Question

Is there a principled way of turning sum notation into more compact vector notation?

Why is $1 = \sum_{k \geq 1} \mathbb{1}_{ \{N=k\} }$

Query about summation in derivation of complex fourier series

Can this equation be solved for $N_{mpn}$?

Find $\left\lfloor\sum{n\over n^4+n^2+1}\right\rfloor-\left\lfloor\sum{n^2\over n^8+n^4+1}\right\rfloor$

Prove $\frac{1}{a}\int_{0}^1 \frac{\sin{ax}}{e^x-1}dx=\frac{1}{2a^2}(1+a\pi\frac{e^{a\pi}+e^{-a\pi}}{e^{a\pi}-e^{a\pi}})$

Finding a specific series sum $\sum_{k=1}^{i-1}(\frac{((ak^3+a(1-2i+2n)k^2+2b)}{2ak})^{-1}$

Conditional card drawing probability question

How does one determine that $\sum_{k=1}^{n} \frac{1}{(n+k)(n+k+1)}$ evaluates to $\frac{n}{2n^2+3n+1}$?

Conditional probabilities of a shuffled deck of cards

Finding the sum of series involving factorials and combinatorics in denominator and/or numerator

How can I properly convert a sum of spherical waves to a definite integral?

Evaluating the sum $\sum_{k=1}^n \frac{k!}{(k+a)!}$ for a parameter $a$

Is there a standard definition of $\sum_{-\infty}^{+\infty} a_n$?

Prove that $\sum_{k=1}^{89} \frac{1}{\tan^3(k^\circ)+1}=44.5$

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