Question

If $F:[a,b] \rightarrow \mathbb{R}$ is not Lipschitz on $[a,b]$ , then there is a point $x_0 \in [a,b]$ with certain properties.

score 79 · Answer 1 · 2018-05-01 10:29:55

79

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If $F:[a,b] \rightarrow \mathbb{R}$ is not Lipschitz on $[a,b]$ , then there is a point $x_0 \in [a,b]$ with certain properties.

Published on 01 May 2018 - 10:29

score 460 · Answer 2 · 2026-04-12 16:54:30

460

Views

Bounded sequence of functions uniformly converges to bounded function

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score 845 · Answer 3 · 2026-04-09 11:36:17

845

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How can we check if the set is path-connected?

Published on 09 Apr 2026 - 11:36

score 30 · Answer 4 · 2026-03-25 22:03:08

30

Views

Why does $(I-T)S_k-I$ equal $I-T^{k+1}-I$?

Published on 25 Mar 2026 - 22:03

score 39 · Answer 5 · 2026-04-10 05:36:15

39

Views

Can Rational Composed with Non-Rational Function Be Rational?

Published on 10 Apr 2026 - 5:36

score 161 · Answer 6 · 2026-03-25 09:28:39

161

Views

Let $\gamma\in C(I,\Bbb R^n)$. Show that $\dim_H(\Gamma)=1$

Published on 25 Mar 2026 - 9:28

score 502 · Answer 7 · 2026-04-12 08:28:04

502

Views

Prob. 1, Sec. 3.7, in Bartle & Sherbert's INTRO. TO REAL ANALYSIS: Removal of the zero terms of a convergent series does not affect the sum?

Published on 12 Apr 2026 - 8:28

score 35 · Answer 8 · 2026-04-13 05:21:04

35

Views

Clasifying singularities.

Published on 13 Apr 2026 - 5:21

score 57 · Answer 9 · 2026-04-13 07:40:55

57

Views

Demonstrate inequality of holomorphic and non-constant functions

Published on 13 Apr 2026 - 7:40

score 118 · Answer 10 · 2026-04-12 15:02:25

118

Views

Periodicity of the solution of a non-linear differential equation

Published on 12 Apr 2026 - 15:02

score 372 · Answer 11 · 2026-04-12 02:30:36

372

Views

Deriving a weak form of Stirling's formula

Published on 12 Apr 2026 - 2:30

score 158 · Answer 12 · 2026-03-31 17:46:50

158

Views

Uniform convergence of integrals over a parameter

Published on 31 Mar 2026 - 17:46

score 183 · Answer 13 · 2026-04-12 17:56:35

183

Views

Check if the set is connected or not

Published on 12 Apr 2026 - 17:56

score 52 · Answer 14 · 2026-04-11 23:12:26

52

Views

Is a function bounded if it has an antiderivative and converges as its argument grows without bound?

Published on 11 Apr 2026 - 23:12

score 121 · Answer 15 · 2026-03-26 12:35:19

121

Views

Show the following map is jointly convex.

Published on 26 Mar 2026 - 12:35

List Question

If $F:[a,b] \rightarrow \mathbb{R}$ is not Lipschitz on $[a,b]$ , then there is a point $x_0 \in [a,b]$ with certain properties.

Bounded sequence of functions uniformly converges to bounded function

How can we check if the set is path-connected?

Why does $(I-T)S_k-I$ equal $I-T^{k+1}-I$?

Can Rational Composed with Non-Rational Function Be Rational?

Let $\gamma\in C(I,\Bbb R^n)$. Show that $\dim_H(\Gamma)=1$

Prob. 1, Sec. 3.7, in Bartle & Sherbert's INTRO. TO REAL ANALYSIS: Removal of the zero terms of a convergent series does not affect the sum?

Clasifying singularities.

Demonstrate inequality of holomorphic and non-constant functions

Periodicity of the solution of a non-linear differential equation

Deriving a weak form of Stirling's formula

Uniform convergence of integrals over a parameter

Check if the set is connected or not

Is a function bounded if it has an antiderivative and converges as its argument grows without bound?

Show the following map is jointly convex.

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