Question

Prove that the size of any set $A$ is smaller than the size of its powerset $P(A)$.

score 188 · Answer 1 · 2026-04-15 09:36:01

188

Views

Prove that the size of any set $A$ is smaller than the size of its powerset $P(A)$.

Published on 15 Apr 2026 - 9:36

score 155 · Answer 2 · 2026-04-16 11:56:36

155

Views

The $L_2$ inner product of $k$ forms on pseudo riemannian manifold $(M,g)$ is non-degenerate

Published on 16 Apr 2026 - 11:56

score 106 · Answer 3 · 2026-04-17 12:26:16

106

Views

Show that $a^2+b^2+c^2=x^2+y^2+z^2$

Published on 17 Apr 2026 - 12:26

score 32 · Answer 4 · 2026-04-15 02:49:20

32

Views

Prove the uniqueness of the decomposition of a vector space in a direct sum of $n$ vector subspaces

Published on 15 Apr 2026 - 2:49

score 139 · Answer 5 · 2026-04-13 14:40:40

139

Views

Proof of n-times matrix multiplication

Published on 13 Apr 2026 - 14:40

score 46 · Answer 6 · 2026-04-11 07:21:40

46

Views

Exercise 1, Section 7.1 of Hoffman’s Linear Algebra

Published on 11 Apr 2026 - 7:21

score 57 · Answer 7 · 2026-04-29 12:52:15

57

Views

Characterization of density and adherence in topological space.

Published on 29 Apr 2026 - 12:52

score 76 · Answer 8 · 2026-04-14 08:45:40

76

Views

Preimage of an Abelian/Cyclic tower is an Abelian/Cyclic tower

Published on 14 Apr 2026 - 8:45

score 167 · Answer 9 · 2026-04-15 10:22:50

167

Views

Prove That No Polynomial Sends $\sin(\theta)$ to $\cos(\theta)$ For All $\theta$ In Some Non-Empty Interval

Published on 15 Apr 2026 - 10:22

score 59 · Answer 10 · 2026-04-09 23:14:23

59

Views

Maximum of a composite function of a continuous and non-continuous function

Published on 09 Apr 2026 - 23:14

score 70 · Answer 11 · 2026-04-17 04:29:11

70

Views

Prove $\phi(m)\phi(n)=\phi((m,n))\phi([m,n])$

Published on 17 Apr 2026 - 4:29

score 38 · Answer 12 · 2026-04-11 02:07:34

38

Views

Closure of half (open) ball included in the open ball - Proof verification

Published on 11 Apr 2026 - 2:07

score 59 · Answer 13 · 2026-04-14 16:24:08

59

Views

Is this a sufficient proof that there exist unique numbers n and such that x = n + , where n is an integer and $\epsilon$ ∈ [0, 1)?

Published on 14 Apr 2026 - 16:24

score 64 · Answer 14 · 2026-04-14 06:48:34

64

Views

Question on why gradient of a suitable function is orthogonal to level sets

Published on 14 Apr 2026 - 6:48

score 57 · Answer 15 · 2026-04-16 10:46:52

57

Views

Prove $|\int_{\alpha} f(z) \ dz| \geq M|z-w|$

Published on 16 Apr 2026 - 10:46

List Question

Prove that the size of any set $A$ is smaller than the size of its powerset $P(A)$.

The $L_2$ inner product of $k$ forms on pseudo riemannian manifold $(M,g)$ is non-degenerate

Show that $a^2+b^2+c^2=x^2+y^2+z^2$

Prove the uniqueness of the decomposition of a vector space in a direct sum of $n$ vector subspaces

Proof of n-times matrix multiplication

Exercise 1, Section 7.1 of Hoffman’s Linear Algebra

Characterization of density and adherence in topological space.

Preimage of an Abelian/Cyclic tower is an Abelian/Cyclic tower

Prove That No Polynomial Sends $\sin(\theta)$ to $\cos(\theta)$ For All $\theta$ In Some Non-Empty Interval

Maximum of a composite function of a continuous and non-continuous function

Prove $\phi(m)\phi(n)=\phi((m,n))\phi([m,n])$

Closure of half (open) ball included in the open ball - Proof verification

Is this a sufficient proof that there exist unique numbers n and such that x = n + , where n is an integer and $\epsilon$ ∈ [0, 1)?

Question on why gradient of a suitable function is orthogonal to level sets

Prove $|\int_{\alpha} f(z) \ dz| \geq M|z-w|$

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