Question

What does x equal?

score 86 · Answer 1 · 2023-11-19 16:03:28

86

Views

What does x equal?

Published on 19 Nov 2023 - 16:03

score 126 · Answer 2 · 2023-11-23 09:16:06

126

Views

Let $A_{k}=\{0,... ,n\}\setminus\{k\}.$ How to prove $\sum_{k=0}^{n}\left[(-1)^{k+1}\prod_{\substack{i,j\in A_{k}\\i<j}}(a_{i}-a_{j})\right]=0$?

Published on 23 Nov 2023 - 9:16

score 53 · Answer 3 · 2023-11-23 11:52:46

53

Views

Multiplicative Harmonic Series

Published on 23 Nov 2023 - 11:52

score 130 · Answer 4 · 2023-12-01 04:42:20

130

Views

Covariance of the product of two random variables with another random variable

Published on 01 Dec 2023 - 4:42

score 893 · Answer 5 · 2026-03-26 19:20:55

893

Views

Trying to calculate a limit with a finite product and WolframAlpha disagrees with my logic.

Published on 26 Mar 2026 - 19:20

score 72 · Answer 6 · 2026-03-29 16:37:24

72

Views

Closed form of product of sedenions

Published on 29 Mar 2026 - 16:37

score 243 · Answer 7 · 2023-12-05 15:51:44

243

Views

Showing that, in Pascal's triangle, the product of the numbers along each median is always the same.

Published on 05 Dec 2023 - 15:51

score 20 · Answer 8 · 2026-03-29 17:25:44

20

Views

A hypothesis For $m \geq 1$, $l_j > 0$, and $x_j \in (-1,1)$

Published on 29 Mar 2026 - 17:25

score 205 · Answer 9 · 2026-02-23 12:04:16

205

Views

$e$ is hidden in Pascal's (binomial) triangle. What is hidden in the trinomial triangle, in the same way?

Published on 23 Feb 2026 - 12:04

score 28 · Answer 10 · 2023-12-21 18:02:15

28

Views

Help proving the product of 1+ positive real numbers is greater than its sum

Published on 21 Dec 2023 - 18:02

score 168 · Answer 11 · 2026-03-28 02:23:42

168

Views

Show $8 \sin \frac{4 \pi}{9} \sin \frac{2 \pi}{9} \sin \frac{\pi}{9} = \sqrt{3}$.

Published on 28 Mar 2026 - 2:23

score 196 · Answer 12 · 2024-01-06 08:54:03

196

Views

Cut a unit stick at $n-1$ random points. Expectation of product of fragment lengths is $\prod\limits_{k=n}^{2n-1}\frac1k$. Why?

Published on 06 Jan 2024 - 8:54

score 78 · Answer 13 · 2026-03-26 19:05:41

78

Views

Showing that the diagonal functor $\Delta:\mathbb{C} \to \mathbb{C} \times \mathbb{C}$ having a right adjoint implies $\mathbb{C}$ having products.

Published on 26 Mar 2026 - 19:05

score 91 · Answer 14 · 2024-01-14 15:41:28

91

Views

What is the product of the roots of a polynomial equation?

Published on 14 Jan 2024 - 15:41

score 37 · Answer 15 · 2024-01-17 16:28:06

37

Views

Defining a function, $\Pi(x_1, x_2, ... x_n)$ that will multiply all inputs together.

Published on 17 Jan 2024 - 16:28

List Question

What does x equal?

Let $A_{k}=\{0,... ,n\}\setminus\{k\}.$ How to prove $\sum_{k=0}^{n}\left[(-1)^{k+1}\prod_{\substack{i,j\in A_{k}\\i<j}}(a_{i}-a_{j})\right]=0$?

Multiplicative Harmonic Series

Covariance of the product of two random variables with another random variable

Trying to calculate a limit with a finite product and WolframAlpha disagrees with my logic.

Closed form of product of sedenions

Showing that, in Pascal's triangle, the product of the numbers along each median is always the same.

A hypothesis For $m \geq 1$, $l_j > 0$, and $x_j \in (-1,1)$

$e$ is hidden in Pascal's (binomial) triangle. What is hidden in the trinomial triangle, in the same way?

Help proving the product of 1+ positive real numbers is greater than its sum

Show $8 \sin \frac{4 \pi}{9} \sin \frac{2 \pi}{9} \sin \frac{\pi}{9} = \sqrt{3}$.

Cut a unit stick at $n-1$ random points. Expectation of product of fragment lengths is $\prod\limits_{k=n}^{2n-1}\frac1k$. Why?

Showing that the diagonal functor $\Delta:\mathbb{C} \to \mathbb{C} \times \mathbb{C}$ having a right adjoint implies $\mathbb{C}$ having products.

What is the product of the roots of a polynomial equation?

Defining a function, $\Pi(x_1, x_2, ... x_n)$ that will multiply all inputs together.

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