Question

The function $f$ is discontinuous but $f\circ f$ is continuous

score 433 · Answer 1 · 2018-05-04 12:47:41

433

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The function $f$ is discontinuous but $f\circ f$ is continuous

Published on 04 May 2018 - 12:47

score 1.9k · Answer 2 · 2018-05-04 14:50:04

1.9k

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Discontinuity of Thomae Function on $\mathbb{Q}$

Published on 04 May 2018 - 14:50

score 38 · Answer 3 · 2018-05-04 16:03:55

38

Views

Construction of function from given condition on function

Published on 04 May 2018 - 16:03

score 450 · Answer 4 · 2026-03-25 22:04:25

450

Views

How to Prove Homotopy Equivalence in a Discrete Topology

Published on 25 Mar 2026 - 22:04

score 608 · Answer 5 · 2026-03-25 09:44:45

608

Views

Differentiability of a three variable function

Published on 25 Mar 2026 - 9:44

score 1.3k · Answer 6 · 2026-03-25 22:09:34

1.3k

Views

Continuity vs. Uniform Continuity in Layman's Terms

Published on 25 Mar 2026 - 22:09

score 114 · Answer 7 · 2026-03-25 22:10:02

114

Views

There exist no continuous one one onto (Bijective ) function form $[0,1]$ $\to$ $[0,1]\times[0,1]$

Published on 25 Mar 2026 - 22:10

score 51 · Answer 8 · 2026-03-26 01:12:37

51

Views

Let, $f$ be a cont. func. on $\Bbb{R}$ s.t. $|f(x)| \le {A \over 1+x^2} \forall x \in \Bbb{R}$, $A \gt 0$. Prove, $f$ is unif'ly cont. on $\Bbb{R}$

Published on 26 Mar 2026 - 1:12

score 51 · Answer 9 · 2026-03-25 04:40:19

51

Views

$f$ is increasing on open balls then $f$ is increasing on throughout open interval

Published on 25 Mar 2026 - 4:40

score 18 · Answer 10 · 2026-03-28 04:34:53

18

Views

Natural examples of elements of $C(X, X)$

Published on 28 Mar 2026 - 4:34

score 2.1k · Answer 11 · 2026-03-26 01:00:04

2.1k

Views

First isomorphism theorem for Banach Spaces

Published on 26 Mar 2026 - 1:00

score 204 · Answer 12 · 2018-05-06 02:57:12

204

Views

If f is uniformly differentialable on $(a,b)$ then $f'$ is continuous on $(a,b)$?

Published on 06 May 2018 - 2:57

score 63 · Answer 13 · 2018-05-06 12:11:57

63

Views

Is this function $f$ continous?

Published on 06 May 2018 - 12:11

score 249 · Answer 14 · 2026-03-26 01:09:32

249

Views

Limit Point 2D Bolzano-Weierstrass

Published on 26 Mar 2026 - 1:09

score 28 · Answer 15 · 2018-05-06 16:06:27

28

Views

Making a function continuous by choosing a value at a point

Published on 06 May 2018 - 16:06

List Question

The function $f$ is discontinuous but $f\circ f$ is continuous

Discontinuity of Thomae Function on $\mathbb{Q}$

Construction of function from given condition on function

How to Prove Homotopy Equivalence in a Discrete Topology

Differentiability of a three variable function

Continuity vs. Uniform Continuity in Layman's Terms

There exist no continuous one one onto (Bijective ) function form $[0,1]$ $\to$ $[0,1]\times[0,1]$

Let, $f$ be a cont. func. on $\Bbb{R}$ s.t. $|f(x)| \le {A \over 1+x^2} \forall x \in \Bbb{R}$, $A \gt 0$. Prove, $f$ is unif'ly cont. on $\Bbb{R}$

$f$ is increasing on open balls then $f$ is increasing on throughout open interval

Natural examples of elements of $C(X, X)$

First isomorphism theorem for Banach Spaces

If f is uniformly differentialable on $(a,b)$ then $f'$ is continuous on $(a,b)$?

Is this function $f$ continous?

Limit Point 2D Bolzano-Weierstrass

Making a function continuous by choosing a value at a point

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