Question

Finding a $C^1$ solution to a differential equation.

score 220 · Answer 1 · 2018-01-24 11:30:11

220

Views

Finding a $C^1$ solution to a differential equation.

Published on 24 Jan 2018 - 11:30

score 650 · Answer 2 · 2026-03-22 23:33:55

650

Views

A function which is not equal almost everywhere (wrt Lebesgue measure) to a continuous function and not almost everywhere continuous function

Published on 22 Mar 2026 - 23:33

score 604 · Answer 3 · 2026-03-20 10:48:27

604

Views

Is function is uniformly continuous on $\mathbb{R}$ then it is uniformly continuous on subset of $\mathbb{R}$?

Published on 20 Mar 2026 - 10:48

score 89 · Answer 4 · 2026-03-25 11:46:50

89

Views

Prove that $\mathbb{R}^n \ni (x_1, \cdots, x_n) \mapsto \max\{|x_1|, \cdots, |x_n|\} \in \mathbb{R}$ is a contiuous function. Simpler Proof Please.

Published on 25 Mar 2026 - 11:46

score 616 · Answer 5 · 2018-01-25 13:13:30

616

Views

How to prove differentiability and continuity for piecewise function

Published on 25 Jan 2018 - 13:13

score 51 · Answer 6 · 2026-03-27 09:17:00

51

Views

Describing continuous functions from X to Y

Published on 27 Mar 2026 - 9:17

score 1.3k · Answer 7 · 2026-03-27 08:04:40

1.3k

Views

If X satisfies the first or second countability axiom then $F(X)$ satisfies the same condition.

Published on 27 Mar 2026 - 8:04

score 275 · Answer 8 · 2026-03-24 23:59:35

275

Views

Equivalent Definitions of Continuity using Open Sets

Published on 24 Mar 2026 - 23:59

score 59 · Answer 9 · 2018-01-26 20:38:08

59

Views

Continuity of symmetric function

Published on 26 Jan 2018 - 20:38

score 48 · Answer 10 · 2018-01-27 11:39:39

Let f; g : D⟶$\mathbb R$ be two continuous functions. f(x) > 0 ∀x∈D. Prove that the function h : D⟶$\mathbb R$ by h(x) = $f(x)^{g(x)}$ is continuous.

score 717 · Answer 11 · 2026-03-25 01:26:15

717

Views

Is the inverse of bijective continuous functions always continuous?

Published on 25 Mar 2026 - 1:26

score 309 · Answer 12 · 2018-01-27 15:38:20

309

Views

Smooth functions of compact support and continuous functions on the closure

Published on 27 Jan 2018 - 15:38

score 510 · Answer 13 · 2018-01-27 17:15:15

510

Views

Show that function $f(x)=\sqrt{x^2+1}$ is continuous using Cauchy's definition of continuity.

Published on 27 Jan 2018 - 17:15

score 10.1k · Answer 14 · 2026-03-24 23:51:00

10.1k

Views

Are functions considered continuous at endpoints?

Published on 24 Mar 2026 - 23:51

score 54 · Answer 15 · 2018-01-28 19:54:19

54

Views

Where is the error in this proof for showing that $f:\mathbb{R}\rightarrow\mathbb{R},x\mapsto\sin{(2\pi x)}$ is constant?

Published on 28 Jan 2018 - 19:54

List Question

Finding a $C^1$ solution to a differential equation.

A function which is not equal almost everywhere (wrt Lebesgue measure) to a continuous function and not almost everywhere continuous function

Is function is uniformly continuous on $\mathbb{R}$ then it is uniformly continuous on subset of $\mathbb{R}$?

Prove that $\mathbb{R}^n \ni (x_1, \cdots, x_n) \mapsto \max\{|x_1|, \cdots, |x_n|\} \in \mathbb{R}$ is a contiuous function. Simpler Proof Please.

How to prove differentiability and continuity for piecewise function

Describing continuous functions from X to Y

If X satisfies the first or second countability axiom then $F(X)$ satisfies the same condition.

Equivalent Definitions of Continuity using Open Sets

Continuity of symmetric function

Let f; g : D⟶$\mathbb R$ be two continuous functions. f(x) > 0 ∀x∈D. Prove that the function h : D⟶$\mathbb R$ by h(x) = $f(x)^{g(x)}$ is continuous.

Is the inverse of bijective continuous functions always continuous?

Smooth functions of compact support and continuous functions on the closure

Show that function $f(x)=\sqrt{x^2+1}$ is continuous using Cauchy's definition of continuity.

Are functions considered continuous at endpoints?

Where is the error in this proof for showing that $f:\mathbb{R}\rightarrow\mathbb{R},x\mapsto\sin{(2\pi x)}$ is constant?

Trending Questions

Popular # Hahtags

Popular Questions