Question

Does there exist a non-continuous clopen function $g: \mathbb R \to \mathbb R$? What about $\mathbb R^n\to \mathbb R^m$?

score 81 · Answer 1 · 2026-05-11 06:22:40

81

Views

Does there exist a non-continuous clopen function $g: \mathbb R \to \mathbb R$? What about $\mathbb R^n\to \mathbb R^m$?

Published on 11 May 2026 - 6:22

score 164 · Answer 2 · 2026-04-14 00:16:27

164

Views

Abelian, transitive subgroup of $S_A$, then $\sigma(a)\neq a$ for $\forall\sigma \in G-\{1\}$ and $\forall a$

Published on 14 Apr 2026 - 0:16

score 53 · Answer 3 · 2026-04-11 09:37:50

53

Views

Solution verification with conditional probability problem

Published on 11 Apr 2026 - 9:37

score 49 · Answer 4 · 2026-04-11 23:12:15

49

Views

Expected value, variance and covariance with discrete random variables

Published on 11 Apr 2026 - 23:12

score 125 · Answer 5 · 2026-05-11 06:26:51

125

Views

Maximum of $xy + 2 yz$ subject to $x^2 + y^2 + z^2 = 36$

Published on 11 May 2026 - 6:26

score 56 · Answer 6 · 2026-04-27 12:38:26

56

Views

How do I know whether I over or underestimated the value of a definite integral of a function?

Published on 27 Apr 2026 - 12:38

score 48 · Answer 7 · 2026-04-15 16:52:01

48

Views

Determine, the distribution of $Z(w)=\left\{\begin{matrix} X(w)& \mbox{if}\ Y(w)\geq 0 \\ -X(w)&\mbox{if} \ Y(w)<0 \end{matrix}\right.$

Published on 15 Apr 2026 - 16:52

score 36 · Answer 8 · 2026-04-16 01:46:38

36

Views

$X$ is a Banach space for the norm $\|u\| := \sup_{t \ge 0} e^{-kt} |u(t)|$

Published on 16 Apr 2026 - 1:46

score 394 · Answer 9 · 2026-04-17 11:16:20

394

Views

Tensor Product Of $L^p$ Spaces Is Dense In The Product $L^p$ Space

Published on 17 Apr 2026 - 11:16

score 76 · Answer 10 · 2026-04-14 03:51:08

76

Views

Axiom of Choice is equivalent to existence of a transverse for every equivalence relation on a set proof

Published on 14 Apr 2026 - 3:51

score 76 · Answer 11 · 2026-04-10 19:02:19

76

Views

How to solve the functional equation $f(a+2b)-f(a+1)=f(b)$

Published on 10 Apr 2026 - 19:02

score 100 · Answer 12 · 2026-04-16 15:59:07

100

Views

The coset/quotient space of a normal subgroup of a topological group is a topological group

Published on 16 Apr 2026 - 15:59

score 55 · Answer 13 · 2026-04-29 22:16:04

55

Views

The lengths of two angle bisectors of a triangle are equal iff two sides of the triangle are equal in length, proof verification.

Published on 29 Apr 2026 - 22:16

score 63 · Answer 14 · 2026-04-12 16:02:01

63

Views

Analysis Sup proof

Published on 12 Apr 2026 - 16:02

score 56 · Answer 15 · 2026-04-11 23:34:48

56

Views

Some basic properties of convex function

Published on 11 Apr 2026 - 23:34

List Question

Does there exist a non-continuous clopen function $g: \mathbb R \to \mathbb R$? What about $\mathbb R^n\to \mathbb R^m$?

Abelian, transitive subgroup of $S_A$, then $\sigma(a)\neq a$ for $\forall\sigma \in G-\{1\}$ and $\forall a$

Solution verification with conditional probability problem

Expected value, variance and covariance with discrete random variables

Maximum of $xy + 2 yz$ subject to $x^2 + y^2 + z^2 = 36$

How do I know whether I over or underestimated the value of a definite integral of a function?

Determine, the distribution of $Z(w)=\left\{\begin{matrix} X(w)& \mbox{if}\ Y(w)\geq 0 \\ -X(w)&\mbox{if} \ Y(w)<0 \end{matrix}\right.$

$X$ is a Banach space for the norm $\|u\| := \sup_{t \ge 0} e^{-kt} |u(t)|$

Tensor Product Of $L^p$ Spaces Is Dense In The Product $L^p$ Space

Axiom of Choice is equivalent to existence of a transverse for every equivalence relation on a set proof

How to solve the functional equation $f(a+2b)-f(a+1)=f(b)$

The coset/quotient space of a normal subgroup of a topological group is a topological group

The lengths of two angle bisectors of a triangle are equal iff two sides of the triangle are equal in length, proof verification.

Analysis Sup proof

Some basic properties of convex function

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