List questions from uniform-continuity

Published on 09 Jan 2016 - 16:30

57

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Is $ f\left(x\right) =\int^{x}_{0}\sin( e^{t^{2}})\,\mathrm{d}t$ uniformly continuous?

Published on 10 Jan 2016 - 11:59

1k

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Proving an integral is uniformly continuous: $f(x)=\int_{-\infty}^{x} e^{\frac{-t^2}{2}} dt$

Published on 10 Jan 2016 - 15:31

6k

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Is $\sin^2x$ uniformly continuous on$x\in [0,\infty]$

Published on 13 Jan 2016 - 2:13

146

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Why is $f(x)=\frac{1}{x}$ not uniformly continuous on $(0,1)$?

Published on 15 Jan 2016 - 11:33

158

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If the pointwise limit is uniformly continuous, the functions in the sequence need not be so

Published on 16 Jan 2016 - 10:45

418

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Continuity and uniform continuity

Published on 17 Jan 2016 - 8:03

68

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Proof about uniform continuity

Published on 22 Jan 2016 - 0:39

237

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$f(x) =\frac{1}{x^{\alpha}}$ continuity and uniform continuity

Published on 25 Jan 2016 - 4:29

73

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Is uniform continuity a property of the category of completely regular spaces?

Published on 30 Mar 2026 - 10:55

403

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counterexample to a "theorem" on continuity of largest deltas for continuous functions $f:[a,b]\to\mathbb{R}$

Published on 25 Jan 2016 - 8:34

130

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Proving Uniform Continuity of a function

Published on 25 Jan 2016 - 15:29

210

Views

Uniform continuity with respect to parameter.

Published on 30 Mar 2026 - 5:23

950

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Uniformly continuous at two intervals

Published on 26 Jan 2016 - 16:00

91

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Single reference to classical results in analysis.

Published on 27 Jan 2016 - 10:31

List Question

Prove a function is uniformly continuous

Is $ f\left(x\right) =\int^{x}_{0}\sin( e^{t^{2}})\,\mathrm{d}t$ uniformly continuous?

Proving an integral is uniformly continuous: $f(x)=\int_{-\infty}^{x} e^{\frac{-t^2}{2}} dt$

Is $\sin^2x$ uniformly continuous on$x\in [0,\infty]$

Why is $f(x)=\frac{1}{x}$ not uniformly continuous on $(0,1)$?

If the pointwise limit is uniformly continuous, the functions in the sequence need not be so

Continuity and uniform continuity

Proof about uniform continuity

$f(x) =\frac{1}{x^{\alpha}}$ continuity and uniform continuity

Is uniform continuity a property of the category of completely regular spaces?

counterexample to a "theorem" on continuity of largest deltas for continuous functions $f:[a,b]\to\mathbb{R}$

Proving Uniform Continuity of a function

Uniform continuity with respect to parameter.

Uniformly continuous at two intervals

Single reference to classical results in analysis.

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