Question

Visual or intuitive proof of $\sum_{k=0}^\infty\frac{(-1)^k}{2k+1}=\frac{\pi}{4}$

score 134 · Answer 1 · 2023-10-06 19:02:13

134

Views

Visual or intuitive proof of $\sum_{k=0}^\infty\frac{(-1)^k}{2k+1}=\frac{\pi}{4}$

Published on 06 Oct 2023 - 19:02

score 239 · Answer 2 · 2024-02-12 20:50:03

239

Views

Explaining this proof without words for $\frac{\pi}{4} = 2 \arctan\frac{1}{3} + \arctan\frac{1}{7}$

Published on 12 Feb 2024 - 20:50

score 3.4k · Answer 3 · 2015-05-15 22:08:51

3.4k

Views

Visual proof of $\sum_{n=1}^\infty \frac{1}{n^4} = \frac{\pi^4}{90}$?

Published on 15 May 2015 - 22:08

score 216 · Answer 4 · 2015-07-23 04:39:20

216

Views

Using a visual "proof" to show that $\sum_{n=1}^{\infty} \left(\frac 34 \right)^n =1$

Published on 23 Jul 2015 - 4:39

score 319 · Answer 5 · 2015-09-01 05:13:50

319

Views

Geometric proof of $QM \ge AM$

Published on 01 Sep 2015 - 5:13

score 379 · Answer 6 · 2015-12-01 20:24:26

379

Views

Examples of 3d visual proofs

Published on 01 Dec 2015 - 20:24

score 127 · Answer 7 · 2015-12-04 16:30:58

127

Views

To prove $\frac{n!}{p!q!}$.

Published on 04 Dec 2015 - 16:30

score 1.5k · Answer 8 · 2013-04-25 01:59:29

1.5k

Views

Intuitive/Visual proof that $(1+2+\cdots+n)^2=1^3+2^3+\cdots+n^3$

Published on 25 Apr 2013 - 1:59

score 1.9k · Answer 9 · 2013-04-30 18:44:51

1.9k

Views

Why matrix representation of convolution cannot explain the convolution theorem?

Published on 30 Apr 2013 - 18:44

score 505 · Answer 10 · 2013-05-10 21:44:09

505

Views

Does $\operatorname{MSE}(\hat{\theta}) = \operatorname{Var}(\theta)+ \left(\operatorname{Bias}(\hat{\theta},\theta)\right)^2$?

Published on 10 May 2013 - 21:44

score 412 · Answer 11 · 2013-06-25 14:26:43

412

Views

Looking for proof-without-words of Bezout's identity

Published on 25 Jun 2013 - 14:26

score 72 · Answer 12 · 2013-08-19 16:51:31

72

Views

I can't figure how to prove this coordinate algebraic geometry proof.

Published on 19 Aug 2013 - 16:51

score 505 · Answer 13 · 2013-10-27 03:52:30

505

Views

Explain this calculus proof without words

Published on 27 Oct 2013 - 3:52

score 803 · Answer 14 · 2017-05-15 17:01:08

803

Views

Proof without words: $1+8\times\text{triangular number}$ is an odd perfect square

Published on 15 May 2017 - 17:01

score 231 · Answer 15 · 2017-11-24 17:33:08

231

Views

Geometric proof of a trig identity on $\cos t \cos u\cos v$

Published on 24 Nov 2017 - 17:33

List Question

Visual or intuitive proof of $\sum_{k=0}^\infty\frac{(-1)^k}{2k+1}=\frac{\pi}{4}$

Explaining this proof without words for $\frac{\pi}{4} = 2 \arctan\frac{1}{3} + \arctan\frac{1}{7}$

Visual proof of $\sum_{n=1}^\infty \frac{1}{n^4} = \frac{\pi^4}{90}$?

Using a visual "proof" to show that $\sum_{n=1}^{\infty} \left(\frac 34 \right)^n =1$

Geometric proof of $QM \ge AM$

Examples of 3d visual proofs

To prove $\frac{n!}{p!q!}$.

Intuitive/Visual proof that $(1+2+\cdots+n)^2=1^3+2^3+\cdots+n^3$

Why matrix representation of convolution cannot explain the convolution theorem?

Does $\operatorname{MSE}(\hat{\theta}) = \operatorname{Var}(\theta)+ \left(\operatorname{Bias}(\hat{\theta},\theta)\right)^2$?

Looking for proof-without-words of Bezout's identity

I can't figure how to prove this coordinate algebraic geometry proof.

Explain this calculus proof without words

Proof without words: $1+8\times\text{triangular number}$ is an odd perfect square

Geometric proof of a trig identity on $\cos t \cos u\cos v$

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