Question

$(X^Y)^Z\sim X^{Y\times Z}$

score 58 · Answer 1 · 2021-04-10 11:24:55

58

Views

$(X^Y)^Z\sim X^{Y\times Z}$

Published on 10 Apr 2021 - 11:24

score 124 · Answer 2 · 2021-04-11 20:51:21

124

Views

$\prod_{k \in Q}{\frac{k^2-1}{k^2+1}}$ is rational number for $Q \subset N$

Published on 11 Apr 2021 - 20:51

score 24 · Answer 3 · 2026-03-27 17:34:15

24

Views

Is there a simplified version of this product

Published on 27 Mar 2026 - 17:34

score 265 · Answer 4 · 2021-04-16 19:18:19

265

Views

Uniqueness of product in the category of Sets

Published on 16 Apr 2021 - 19:18

score 88 · Answer 5 · 2021-04-19 22:28:25

88

Views

Proving if $a_{k}\ge a_{k-1}+1$ then $1+\frac{1}{a_{0}}(1+\frac{1}{a_{1}-a_{0}})...(1+\frac{1}{a_{n}-a_{0}})\le \prod_{k=0}^{n}(1+\frac{1}{a_{k}})$

Published on 19 Apr 2021 - 22:28

score 23 · Answer 6 · 2021-04-20 17:09:36

23

Views

I believe I need to take a certain kind of product of sets or compute permutations / combinations, but I'm not sure which...

Published on 20 Apr 2021 - 17:09

score 71 · Answer 7 · 2021-04-30 10:26:03

71

Views

Showing $(n+m)^{\underline{k}}=\sum_{v=0}^\infty{k\choose v}\cdot{(m)^{\underline{k-v}}}\cdot(n)^{\underline{v}}$ for falling factorials

Published on 30 Apr 2021 - 10:26

score 100 · Answer 8 · 2026-03-25 22:10:56

100

Views

Projection from n-fold cartesian product to coordinates indexed by a fiber.

Published on 25 Mar 2026 - 22:10

score 69 · Answer 9 · 2021-05-06 17:42:15

69

Views

Is my direct proof correct for $ \prod_{i=2}^{n} \left(1- \frac{1}{i^2}\right) =\frac {n+1}{2n} $ good/correct?

Published on 06 May 2021 - 17:42

score 44 · Answer 10 · 2026-03-29 22:44:18

44

Views

Formula for $\prod_{n=0}^{\infty} (1 \pm x^n)$

Published on 29 Mar 2026 - 22:44

score 327 · Answer 11 · 2021-05-16 16:33:33

327

Views

Nested operation notation convention for evaluation (particularly for Pi and Sigma)

Published on 16 May 2021 - 16:33

score 299 · Answer 12 · 2021-05-30 12:06:31

299

Views

Yes, $0!=1$, but... by convention?

Published on 30 May 2021 - 12:06

score 38 · Answer 13 · 2021-06-02 17:08:32

38

Views

Integrating an exponential of x to the s-th degree

Published on 02 Jun 2021 - 17:08

score 26 · Answer 14 · 2021-06-04 12:38:20

26

Views

Sum and product of numerator of rational number doubt

Published on 04 Jun 2021 - 12:38

score 66 · Answer 15 · 2026-03-26 14:33:55

66

Views

How to evaluate the following Product?

Published on 26 Mar 2026 - 14:33

List Question

$(X^Y)^Z\sim X^{Y\times Z}$

$\prod_{k \in Q}{\frac{k^2-1}{k^2+1}}$ is rational number for $Q \subset N$

Is there a simplified version of this product

Uniqueness of product in the category of Sets

Proving if $a_{k}\ge a_{k-1}+1$ then $1+\frac{1}{a_{0}}(1+\frac{1}{a_{1}-a_{0}})...(1+\frac{1}{a_{n}-a_{0}})\le \prod_{k=0}^{n}(1+\frac{1}{a_{k}})$

I believe I need to take a certain kind of product of sets or compute permutations / combinations, but I'm not sure which...

Showing $(n+m)^{\underline{k}}=\sum_{v=0}^\infty{k\choose v}\cdot{(m)^{\underline{k-v}}}\cdot(n)^{\underline{v}}$ for falling factorials

Projection from n-fold cartesian product to coordinates indexed by a fiber.

Is my direct proof correct for $ \prod_{i=2}^{n} \left(1- \frac{1}{i^2}\right) =\frac {n+1}{2n} $ good/correct?

Formula for $\prod_{n=0}^{\infty} (1 \pm x^n)$

Nested operation notation convention for evaluation (particularly for Pi and Sigma)

Yes, $0!=1$, but... by convention?

Integrating an exponential of x to the s-th degree

Sum and product of numerator of rational number doubt

How to evaluate the following Product?

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