Question

Sequence that contains subsequences converging to every point in the infinite set $\{1/n: n\in\Bbb{N}\}$ (Abbott p 58 q2.5.3c)

score 4.9k · Answer 1 · 2014-05-01 11:27:04

4.9k

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Sequence that contains subsequences converging to every point in the infinite set $\{1/n: n\in\Bbb{N}\}$ (Abbott p 58 q2.5.3c)

Published on 01 May 2014 - 11:27

score 1.3k · Answer 2 · 2014-05-02 15:53:31

1.3k

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Heron's Formula; an Intuitive or Visual Proof

Published on 02 May 2014 - 15:53

score 22.8k · Answer 3 · 2014-05-02 22:13:35

22.8k

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Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)

Published on 02 May 2014 - 22:13

score 167 · Answer 4 · 2014-05-03 19:58:54

167

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bounding the sum of squares of lengths of a quadrilateral inscribed in a unit square

Published on 03 May 2014 - 19:58

score 171 · Answer 5 · 2014-05-05 05:30:41

171

Views

Prove $p$$_n$$_+$$_1$ $<$ $2p_n$ without using the Bertrand's Postulate

Published on 05 May 2014 - 5:30

score 2k · Answer 6 · 2014-05-06 11:59:09

2k

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Solve $ax \equiv b \mod m$ without Linear Congruence Theorem or Euclid's Algorithm?

Published on 06 May 2014 - 11:59

score 53 · Answer 7 · 2014-05-07 22:48:46

53

Views

Simple proof of "$a$ and $a^{-1}$ have the same number of conjugates"

Published on 07 May 2014 - 22:48

score 11.6k · Answer 8 · 2014-05-08 02:26:07

11.6k

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Proving $fg$ and $f+g$ is Riemann integrable through the easy and hard way.

Published on 08 May 2014 - 2:26

score 404 · Answer 9 · 2014-05-08 12:08:18

404

Views

Proof for $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$ without complexes?

Published on 08 May 2014 - 12:08

score 5.1k · Answer 10 · 2014-05-09 05:54:31

5.1k

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Show that the product of two consecutive natural numbers is never a square.

Published on 09 May 2014 - 5:54

score 344 · Answer 11 · 2014-05-09 10:10:22

344

Views

A power of the characteristic polynomial

Published on 09 May 2014 - 10:10

score 593 · Answer 12 · 2014-05-09 13:28:06

593

Views

3-connectedness Expansion Lemma

Published on 09 May 2014 - 13:28

score 3.3k · Answer 13 · 2014-05-10 21:19:20

3.3k

Views

Is convex set in an ordered set necessarily interval or ray? Munkres 16. 7

Published on 10 May 2014 - 21:19

score 47 · Answer 14 · 2014-05-15 23:24:55

47

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Geometric proof and extension of |a|=|b|=|c|=a+b+c=1 => a=1 or b=1 or c=1

Published on 15 May 2014 - 23:24

score 295 · Answer 15 · 2014-05-16 01:34:13

295

Views

Adaptation of this proof of spectral theorem to the complex case

Published on 16 May 2014 - 1:34

List Question

Sequence that contains subsequences converging to every point in the infinite set $\{1/n: n\in\Bbb{N}\}$ (Abbott p 58 q2.5.3c)

Heron's Formula; an Intuitive or Visual Proof

Prove that if $A$ is normal, then eigenvectors corresponding to distinct eigenvalues are necessarily orthogonal (alternative proof)

bounding the sum of squares of lengths of a quadrilateral inscribed in a unit square

Prove $p$$_n$$_+$$_1$ $<$ $2p_n$ without using the Bertrand's Postulate

Solve $ax \equiv b \mod m$ without Linear Congruence Theorem or Euclid's Algorithm?

Simple proof of "$a$ and $a^{-1}$ have the same number of conjugates"

Proving $fg$ and $f+g$ is Riemann integrable through the easy and hard way.

Proof for $\sum_{n=1}^{\infty}\frac{1}{n^2}=\frac{\pi^2}{6}$ without complexes?

Show that the product of two consecutive natural numbers is never a square.

A power of the characteristic polynomial

3-connectedness Expansion Lemma

Is convex set in an ordered set necessarily interval or ray? Munkres 16. 7

Geometric proof and extension of |a|=|b|=|c|=a+b+c=1 => a=1 or b=1 or c=1

Adaptation of this proof of spectral theorem to the complex case

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