Question

Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

score 185 · Answer 1 · 2026-03-25 13:31:05

185

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Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

Published on 25 Mar 2026 - 13:31

score 114 · Answer 2 · 2018-10-08 14:48:06

114

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How to remove discontinuity from the equation?

Published on 08 Oct 2018 - 14:48

score 590 · Answer 3 · 2018-10-08 18:05:28

590

Views

Function in which every inverse image of open "interval" is open interval but not continuous.

Published on 08 Oct 2018 - 18:05

score 87 · Answer 4 · 2018-10-08 19:09:29

87

Views

Continuous function which has uncountable intersections with each parallel line to $y=x$

Published on 08 Oct 2018 - 19:09

score 163 · Answer 5 · 2026-03-25 13:04:39

163

Views

prove uniqueness Lipschitz-continuous map in Banach space

Published on 25 Mar 2026 - 13:04

score 234 · Answer 6 · 2026-03-29 04:02:37

234

Views

Series of continuous positive functions: uniform convergence?

Published on 29 Mar 2026 - 4:02

score 30 · Answer 7 · 2026-04-03 13:40:02

30

Views

Open sets in topological spaces

Published on 03 Apr 2026 - 13:40

score 78 · Answer 8 · 2026-03-26 06:10:56

78

Views

Continuity proof using $f(x+y) = f(x) + f(y)$ ($3$ parts, last part!)

Published on 26 Mar 2026 - 6:10

score 63 · Answer 9 · 2018-10-09 20:41:49

63

Views

At which points is: $f(x) = \lim_{n \to \infty} \frac{x^{2n}-1}{x^{2n}+2}$ discontinuous?

Published on 09 Oct 2018 - 20:41

score 42 · Answer 10 · 2018-10-10 04:13:34

42

Views

Proving limits existance

Published on 10 Oct 2018 - 4:13

score 64 · Answer 11 · 2018-10-10 06:40:48

64

Views

Proving a a function is continuous using ε and δ definition

Published on 10 Oct 2018 - 6:40

score 1.4k · Answer 12 · 2026-03-28 10:04:01

1.4k

Views

Within a limit, find the constant c.

Published on 28 Mar 2026 - 10:04

score 176 · Answer 13 · 2026-03-25 16:05:51

176

Views

Continuity of matrix trace functionals

Published on 25 Mar 2026 - 16:05

score 340 · Answer 14 · 2026-03-26 09:58:01

340

Views

Prove $f(x)=\frac{3x+2}{2x-1}$ is uniformly continuous on $D_r= (-\infty, 1/2 -r] \cup [1/2 +r, \infty)$

Published on 26 Mar 2026 - 9:58

score 66 · Answer 15 · 2018-10-10 17:39:17

66

Views

Prove that if $f(x, y)$ is continuous on $(0,0)$ then the function $g(x,y)=xyf (x,y)$ is differentiable on $(0,0)$

Published on 10 Oct 2018 - 17:39

List Question

Proof of fixed point theorem on $D^1$ using the technique used in Brouwer's fixed point theorem.

How to remove discontinuity from the equation?

Function in which every inverse image of open "interval" is open interval but not continuous.

Continuous function which has uncountable intersections with each parallel line to $y=x$

prove uniqueness Lipschitz-continuous map in Banach space

Series of continuous positive functions: uniform convergence?

Open sets in topological spaces

Continuity proof using $f(x+y) = f(x) + f(y)$ ($3$ parts, last part!)

At which points is: $f(x) = \lim_{n \to \infty} \frac{x^{2n}-1}{x^{2n}+2}$ discontinuous?

Proving limits existance

Proving a a function is continuous using ε and δ definition

Within a limit, find the constant c.

Continuity of matrix trace functionals

Prove $f(x)=\frac{3x+2}{2x-1}$ is uniformly continuous on $D_r= (-\infty, 1/2 -r] \cup [1/2 +r, \infty)$

Prove that if $f(x, y)$ is continuous on $(0,0)$ then the function $g(x,y)=xyf (x,y)$ is differentiable on $(0,0)$

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