Question

Confusion in this step of backpropagation derivation

score 40 · Answer 1 · 2026-04-12 15:29:49

40

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Confusion in this step of backpropagation derivation

Published on 12 Apr 2026 - 15:29

score 109 · Answer 2 · 2026-04-16 16:15:08

109

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Prove that $\frac{1}{1^2} + \frac{1}{2^2} + \cdots + \frac{1}{n^2} > \frac{3n}{2n+1}$ for all $n \geq 2$ by induction

Published on 16 Apr 2026 - 16:15

score 411 · Answer 3 · 2026-03-25 20:32:42

411

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Proof for a combinatorial identity

Published on 25 Mar 2026 - 20:32

score 148 · Answer 4 · 2026-04-16 13:08:02

148

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Find $\sum_{n=1}^{\infty} \frac{1}{\prod_{i=0}^{k} \left(n+i\right)}$

Published on 16 Apr 2026 - 13:08

score 52 · Answer 5 · 2026-04-12 18:44:14

52

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Proof appears to use substitution inconsistently.

Published on 12 Apr 2026 - 18:44

score 38 · Answer 6 · 2026-04-15 14:10:59

38

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Converting linear algebra matrix form to summation form

Published on 15 Apr 2026 - 14:10

score 482 · Answer 7 · 2026-04-15 11:26:07

482

Views

Find the lub and glb of a certain set

Published on 15 Apr 2026 - 11:26

score 233 · Answer 8 · 2026-04-16 17:54:03

233

Views

Integrate $\operatorname{PV}\int_0^{\infty}\frac{x\tan(\pi x)}{(1+x^2)^2}dx$

Published on 16 Apr 2026 - 17:54

score 63 · Answer 9 · 2026-04-15 00:06:52

63

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Let $S_n$ to be the sum of the first n terms of a geometric series, then what does it mean if n isn't a whole number?

Published on 15 Apr 2026 - 0:06

score 2.7k · Answer 10 · 2026-04-14 10:18:26

2.7k

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Cubes as the sum of odd integers

Published on 14 Apr 2026 - 10:18

score 84 · Answer 11 · 2026-04-14 12:16:04

84

Views

Proving combinatorial identities

Published on 14 Apr 2026 - 12:16

score 281 · Answer 12 · 2026-04-10 14:46:13

281

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How to divide an interval into geometrically increasing sub-intervals

Published on 10 Apr 2026 - 14:46

score 104 · Answer 13 · 2026-04-16 21:03:15

104

Views

Showing $\sum_{\alpha=0}^k \binom{k+15}{\alpha + 10}\binom{k}{\alpha}=\frac{2^{2k+15}(k+6)(k+7)\left(\frac{2k+15}{2}\right)!}{\sqrtπ (k+10)!}$

Published on 16 Apr 2026 - 21:03

score 148 · Answer 14 · 2026-04-11 19:14:30

148

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Evaluating a binomial summation

Published on 11 Apr 2026 - 19:14

score 48 · Answer 15 · 2026-04-16 19:12:36

48

Views

Find $w^2$ and compute a quadratic equation satisfied by $w$

Published on 16 Apr 2026 - 19:12

List Question

Confusion in this step of backpropagation derivation

Prove that $\frac{1}{1^2} + \frac{1}{2^2} + \cdots + \frac{1}{n^2} > \frac{3n}{2n+1}$ for all $n \geq 2$ by induction

Proof for a combinatorial identity

Find $\sum_{n=1}^{\infty} \frac{1}{\prod_{i=0}^{k} \left(n+i\right)}$

Proof appears to use substitution inconsistently.

Converting linear algebra matrix form to summation form

Find the lub and glb of a certain set

Integrate $\operatorname{PV}\int_0^{\infty}\frac{x\tan(\pi x)}{(1+x^2)^2}dx$

Let $S_n$ to be the sum of the first n terms of a geometric series, then what does it mean if n isn't a whole number?

Cubes as the sum of odd integers

Proving combinatorial identities

How to divide an interval into geometrically increasing sub-intervals

Showing $\sum_{\alpha=0}^k \binom{k+15}{\alpha + 10}\binom{k}{\alpha}=\frac{2^{2k+15}(k+6)(k+7)\left(\frac{2k+15}{2}\right)!}{\sqrtπ (k+10)!}$

Evaluating a binomial summation

Find $w^2$ and compute a quadratic equation satisfied by $w$

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