Question

How do you prove this without using induction?

score 157 · Answer 1 · 2016-04-23 05:45:56

157

Views

How do you prove this without using induction?

Published on 23 Apr 2016 - 5:45

score 252 · Answer 2 · 2016-04-24 03:36:18

252

Views

Prove that the function $f:\mathbb{R}^2\rightarrow\mathbb{R}$ is constant

Published on 24 Apr 2016 - 3:36

score 810 · Answer 3 · 2016-04-26 01:32:25

810

Views

Show that $\bigcup_{n=1}^\infty A_n= B_1 \backslash \bigcap_{n=1}^\infty B_n$

Published on 26 Apr 2016 - 1:32

score 569 · Answer 4 · 2016-04-26 02:15:37

569

Views

Reference request: alternative proof for every open set in $\mathbb{R}^n$ can be expressed as countable disjoint union of open boxes

Published on 26 Apr 2016 - 2:15

score 1.1k · Answer 5 · 2016-04-26 22:50:25

1.1k

Views

How to determine intervals where $f$ is greater than $g$?

Published on 26 Apr 2016 - 22:50

score 122 · Answer 6 · 2016-04-27 10:54:04

122

Views

Prove directly from definition: countably compact subsets of metric spaces are closed

Published on 27 Apr 2016 - 10:54

score 2.5k · Answer 7 · 2016-04-30 00:33:13

2.5k

Views

Show that finite dimensional subspace is closed

Published on 30 Apr 2016 - 0:33

score 82 · Answer 8 · 2016-04-30 09:16:49

82

Views

Probability space for zebras and their number of stripes

Published on 30 Apr 2016 - 9:16

score 73 · Answer 9 · 2016-04-30 10:44:24

73

Views

Alternative Proof: if $n$ is an integer, prove that $\frac{n ( n^4 - 1)}{5}$ is an integer

Published on 30 Apr 2016 - 10:44

score 237 · Answer 10 · 2016-05-01 20:39:52

237

Views

Unramified at a point $x \in X$ if and only if $\Omega _{X,x} = 0$

Published on 01 May 2016 - 20:39

score 43 · Answer 11 · 2026-04-08 05:16:37

43

Views

How does one get $p=2$ from a condition that there be non-trivial linear transformations of every dimension that to any power are $p$-norm-preserving?

Published on 08 Apr 2026 - 5:16

score 641 · Answer 12 · 2026-04-03 22:38:01

641

Views

The well-ordering principle implies Zorn's Lemma

Published on 03 Apr 2026 - 22:38

score 320 · Answer 13 · 2016-05-04 15:02:47

320

Views

A purely algebraic proof of $\vec{a}\cdot \vec{b} = \lVert\vec{a} \rVert\lVert\vec{b} \rVert\cos(\theta)$

Published on 04 May 2016 - 15:02

score 90 · Answer 14 · 2016-05-04 21:02:15

90

Views

Multidimensional Cantor diagonal argument for ordering infinite sets

Published on 04 May 2016 - 21:02

score 1k · Answer 15 · 2016-05-06 06:59:23

1k

Views

Prove that the directrix is tangent to the circles that are drawn on a focal chord of a parabola as diameter.

Published on 06 May 2016 - 6:59

List Question

How do you prove this without using induction?

Prove that the function $f:\mathbb{R}^2\rightarrow\mathbb{R}$ is constant

Show that $\bigcup_{n=1}^\infty A_n= B_1 \backslash \bigcap_{n=1}^\infty B_n$

Reference request: alternative proof for every open set in $\mathbb{R}^n$ can be expressed as countable disjoint union of open boxes

How to determine intervals where $f$ is greater than $g$?

Prove directly from definition: countably compact subsets of metric spaces are closed

Show that finite dimensional subspace is closed

Probability space for zebras and their number of stripes

Alternative Proof: if $n$ is an integer, prove that $\frac{n ( n^4 - 1)}{5}$ is an integer

Unramified at a point $x \in X$ if and only if $\Omega _{X,x} = 0$

How does one get $p=2$ from a condition that there be non-trivial linear transformations of every dimension that to any power are $p$-norm-preserving?

The well-ordering principle implies Zorn's Lemma

A purely algebraic proof of $\vec{a}\cdot \vec{b} = \lVert\vec{a} \rVert\lVert\vec{b} \rVert\cos(\theta)$

Multidimensional Cantor diagonal argument for ordering infinite sets

Prove that the directrix is tangent to the circles that are drawn on a focal chord of a parabola as diameter.

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