Question

Norms, Metrics, Measures, and Volume on $\mathbb{R}^n$

score 78 · Answer 1 · 2026-04-03 22:38:57

78

Views

Norms, Metrics, Measures, and Volume on $\mathbb{R}^n$

Published on 03 Apr 2026 - 22:38

score 544 · Answer 2 · 2026-03-26 06:30:10

544

Views

the space of Lipschitz functions is complete metric space

Published on 26 Mar 2026 - 6:30

score 149 · Answer 3 · 2019-09-02 23:38:02

149

Views

How does the metric space impact the property of subset?

Published on 02 Sep 2019 - 23:38

score 204 · Answer 4 · 2026-03-28 01:35:21

204

Views

Different conditions for Continuity and Uniform Continuity of a function on Union of Sets

Published on 28 Mar 2026 - 1:35

score 88 · Answer 5 · 2026-04-11 05:29:07

88

Views

Is this function uniformly continuous or just continuous?

Published on 11 Apr 2026 - 5:29

score 51 · Answer 6 · 2019-09-03 21:35:28

51

Views

Let $G$ be an open set in $\mathbb{C}$ and $a \in G$ with $B_X(a,r)\cap \delta G = \emptyset$. Then $B_X(a,r) \subseteq G$.

Published on 03 Sep 2019 - 21:35

score 177 · Answer 7 · 2026-03-28 20:59:16

177

Views

finding the gradient of weighted Jaccard metric

Published on 28 Mar 2026 - 20:59

score 655 · Answer 8 · 2019-09-04 13:06:36

655

Views

Let d1 and d2 be two metrices on X . Then $d(x,y)= d1(x,y)*d2(x,y)$ $x, y\in X$ is also metric on X?

Published on 04 Sep 2019 - 13:06

score 157 · Answer 9 · 2026-04-09 00:10:56

157

Views

Problem on completeness.

Published on 09 Apr 2026 - 0:10

score 423 · Answer 10 · 2019-09-04 22:11:15

423

Views

Is $\mathbb{R}$ complete under the metric $d(x,y) = \lvert x^3 - y^3 \rvert$?

Published on 04 Sep 2019 - 22:11

score 58 · Answer 11 · 2026-03-30 08:19:52

58

Views

Let $X,Y$ be metric spaces. Then a function $f:X \to Y$ is continuous at $x$ if and only if $f$ is sequentially continuous at $x$

Published on 30 Mar 2026 - 8:19

score 1.1k · Answer 12 · 2026-03-25 11:16:52

1.1k

Views

Prove that $f(x)=x+1/x$ is a contraction but not a strong one on $[1, \infty]$.

Published on 25 Mar 2026 - 11:16

score 87 · Answer 13 · 2019-09-05 15:33:08

87

Views

True/False - Are these sets and sequences open sets or closed sets?

Published on 05 Sep 2019 - 15:33

score 48 · Answer 14 · 2019-09-05 17:59:04

If a sequence $( x_ n )_{ n ∈ \mathbb{N}} \in X$ satisfies $d ( x _n ,x_{n +1 }) < α_ n$ , for all $n \in N$ , then the sequence is convergent.

score 96 · Answer 15 · 2019-09-05 19:59:59

96

Views

How to prove that the following is a metric space?

Published on 05 Sep 2019 - 19:59

List Question

Norms, Metrics, Measures, and Volume on $\mathbb{R}^n$

the space of Lipschitz functions is complete metric space

How does the metric space impact the property of subset?

Different conditions for Continuity and Uniform Continuity of a function on Union of Sets

Is this function uniformly continuous or just continuous?

Let $G$ be an open set in $\mathbb{C}$ and $a \in G$ with $B_X(a,r)\cap \delta G = \emptyset$. Then $B_X(a,r) \subseteq G$.

finding the gradient of weighted Jaccard metric

Let d1 and d2 be two metrices on X . Then $d(x,y)= d1(x,y)*d2(x,y)$ $x, y\in X$ is also metric on X?

Problem on completeness.

Is $\mathbb{R}$ complete under the metric $d(x,y) = \lvert x^3 - y^3 \rvert$?

Let $X,Y$ be metric spaces. Then a function $f:X \to Y$ is continuous at $x$ if and only if $f$ is sequentially continuous at $x$

Prove that $f(x)=x+1/x$ is a contraction but not a strong one on $[1, \infty]$.

True/False - Are these sets and sequences open sets or closed sets?

If a sequence $( x_ n )_{ n ∈ \mathbb{N}} \in X$ satisfies $d ( x _n ,x_{n +1 }) < α_ n$ , for all $n \in N$ , then the sequence is convergent.

How to prove that the following is a metric space?

Trending Questions

Popular # Hahtags

Popular Questions