Question

If $G$ is an Abelian group with odd order, then the product of all its elements is the identity.

score 1.8k · Answer 1 · 2026-04-16 10:40:55

1.8k

Views

If $G$ is an Abelian group with odd order, then the product of all its elements is the identity.

Published on 16 Apr 2026 - 10:40

score 61 · Answer 2 · 2026-04-14 10:56:37

61

Views

Find the polynomial $p∈P(\Bbb F)$ of lowest possible degree using Lagrange interpolation

Published on 14 Apr 2026 - 10:56

score 47 · Answer 3 · 2026-04-15 08:29:02

47

Views

Proof verification of if $S_n = \sum_{k=1}^n x_n$ is bounded then $\{x_n\}$ is bounded

Published on 15 Apr 2026 - 8:29

score 66 · Answer 4 · 2026-04-16 06:31:39

66

Views

Determinant 4x4

Published on 16 Apr 2026 - 6:31

score 20 · Answer 5 · 2026-04-15 17:07:01

20

Views

Implications of $a_l\not\in\{x_k:k\ge l\}$ where $a_n:=\sup\{x_k:k\ge n\},\forall n\in\mathbf{N}$.

Published on 15 Apr 2026 - 17:07

score 236 · Answer 6 · 2026-04-16 03:54:53

236

Views

Proving $x_k-\left(\limsup_{n\to\infty} x_n\right)<\epsilon,\forall k\ge M$ for some $M\in\mathbf{N}$

Published on 16 Apr 2026 - 3:54

score 59 · Answer 7 · 2026-04-15 09:39:59

59

Views

Proving closed interval [0,1] has same cardinality as Real Numbers

Published on 15 Apr 2026 - 9:39

score 38 · Answer 8 · 2026-04-10 08:42:57

38

Views

Proof of a separating theorem

Published on 10 Apr 2026 - 8:42

score 144 · Answer 9 · 2026-04-17 09:15:06

144

Views

What part of this is this wrong? $\sum_{n\geq1}\frac1{n(n+1)}=-1$

Published on 17 Apr 2026 - 9:15

score 216 · Answer 10 · 2026-04-16 06:57:15

216

Views

If $d(x,y)$ is a metric on $X$, then $d'(x,y)=\frac{d(x,y)}{1 + d(x,y)}$ and $d(x,y)$ generates the same topology.

Published on 16 Apr 2026 - 6:57

score 60 · Answer 11 · 2026-04-12 13:51:14

60

Views

How do I show $x^x > k \cdot a^x $?

Published on 12 Apr 2026 - 13:51

score 1.2k · Answer 12 · 2026-04-16 09:17:20

1.2k

Views

Proving the cofinite topology is coarser then the Euclidean topology.

Published on 16 Apr 2026 - 9:17

score 65 · Answer 13 · 2026-04-15 00:59:21

65

Views

Prove that the polar cone $K^\circ = \{v\in\mathbb{R}^n:Av\leq 0\}$ where $A$ is the matrix that has $x^i$ as its $i$-th row for ($i=1,\dots\,m$).

Published on 15 Apr 2026 - 0:59

score 846 · Answer 14 · 2026-04-13 07:56:20

846

Views

If a function defined on a (Lebesgue) measurable set is continuous almost everywhere, then is that function necessarily (Lebesgue) measurable?

Published on 13 Apr 2026 - 7:56

score 180 · Answer 15 · 2026-04-14 17:35:59

180

Views

Prove that $\underline{\int_a^b} f(x)dx=\sup_{\xi}\int_a^b \xi(x)dx$, $\xi$ a step-function.

Published on 14 Apr 2026 - 17:35

List Question

If $G$ is an Abelian group with odd order, then the product of all its elements is the identity.

Find the polynomial $p∈P(\Bbb F)$ of lowest possible degree using Lagrange interpolation

Proof verification of if $S_n = \sum_{k=1}^n x_n$ is bounded then $\{x_n\}$ is bounded

Determinant 4x4

Implications of $a_l\not\in\{x_k:k\ge l\}$ where $a_n:=\sup\{x_k:k\ge n\},\forall n\in\mathbf{N}$.

Proving $x_k-\left(\limsup_{n\to\infty} x_n\right)<\epsilon,\forall k\ge M$ for some $M\in\mathbf{N}$

Proving closed interval [0,1] has same cardinality as Real Numbers

Proof of a separating theorem

What part of this is this wrong? $\sum_{n\geq1}\frac1{n(n+1)}=-1$

If $d(x,y)$ is a metric on $X$, then $d'(x,y)=\frac{d(x,y)}{1 + d(x,y)}$ and $d(x,y)$ generates the same topology.

How do I show $x^x > k \cdot a^x $?

Proving the cofinite topology is coarser then the Euclidean topology.

Prove that the polar cone $K^\circ = \{v\in\mathbb{R}^n:Av\leq 0\}$ where $A$ is the matrix that has $x^i$ as its $i$-th row for ($i=1,\dots\,m$).

If a function defined on a (Lebesgue) measurable set is continuous almost everywhere, then is that function necessarily (Lebesgue) measurable?

Prove that $\underline{\int_a^b} f(x)dx=\sup_{\xi}\int_a^b \xi(x)dx$, $\xi$ a step-function.

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