Question

Continuous functions and product topology

score 69 · Answer 1 · 2018-06-12 00:17:07

69

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Continuous functions and product topology

Published on 12 Jun 2018 - 0:17

score 515 · Answer 2 · 2018-06-12 04:06:22

515

Views

Continuity of $\tan\left(\frac{\pi}{4}+\ln x\right)^{\frac{1}{lnx}}$

Published on 12 Jun 2018 - 4:06

score 40 · Answer 3 · 2018-06-12 06:01:06

Existence of a continuous one to one map from the set $A= \{z \in \Bbb C : z \neq 0 \}$ to the set $B = \{z \in \Bbb C : |z|>1 \}$.

score 54 · Answer 4 · 2026-03-26 06:28:38

54

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$\sum_{n=1}^{\infty} \frac{x}{(1+(n-1)x)(1+nx)}$ continuity

Published on 26 Mar 2026 - 6:28

score 40 · Answer 5 · 2018-06-12 10:53:14

40

Views

How to prove this statement in calculus

Published on 12 Jun 2018 - 10:53

score 155 · Answer 6 · 2026-03-28 23:57:37

155

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Confusion About Differentiability of Function

Published on 28 Mar 2026 - 23:57

score 101 · Answer 7 · 2018-06-12 15:09:49

101

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Given a continuous mapping $f$ find $\lim_{n\to\infty}\int_0^1 nf(x)e^{-nx}$

Published on 12 Jun 2018 - 15:09

score 84 · Answer 8 · 2018-06-12 15:11:47

84

Views

How can the inverse image of a continuous function not be closed?

Published on 12 Jun 2018 - 15:11

score 39 · Answer 9 · 2018-06-12 17:57:14

39

Views

Countinuous extension to the whole space of a matrix-valued function $f : E \to GL_n(\mathbb C)$

Published on 12 Jun 2018 - 17:57

score 468 · Answer 10 · 2018-06-12 18:52:06

468

Views

Analysis - Prove Continuity of $ f(x) = f(x), f²(x) = (f(x))², f³(x) = (f(x))³$

Published on 12 Jun 2018 - 18:52

score 113 · Answer 11 · 2026-03-24 22:10:54

113

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Continuity of a Hölder continuous function depending on a temporal parameter

Published on 24 Mar 2026 - 22:10

score 360 · Answer 12 · 2018-06-12 20:33:35

360

Views

Prove that if $f $ is $\alpha$-Hölder continuous with $\alpha > 1/2$, then the image of $f $ has measure zero in $\mathbb R^2$.

Published on 12 Jun 2018 - 20:33

score 71 · Answer 13 · 2026-03-25 00:06:35

71

Views

Finding a topology doesn't convey Hausdorff property by an injective continuous function

Published on 25 Mar 2026 - 0:06

score 64 · Answer 14 · 2018-06-13 03:34:37

64

Views

Measure theory problem in Cramér–Rao inequality proof

Published on 13 Jun 2018 - 3:34

score 39 · Answer 15 · 2018-06-13 20:49:33

39

Views

Can we choose a continuous solution trajectory for a linear function

Published on 13 Jun 2018 - 20:49

List Question

Continuous functions and product topology

Continuity of $\tan\left(\frac{\pi}{4}+\ln x\right)^{\frac{1}{lnx}}$

Existence of a continuous one to one map from the set $A= \{z \in \Bbb C : z \neq 0 \}$ to the set $B = \{z \in \Bbb C : |z|>1 \}$.

$\sum_{n=1}^{\infty} \frac{x}{(1+(n-1)x)(1+nx)}$ continuity

How to prove this statement in calculus

Confusion About Differentiability of Function

Given a continuous mapping $f$ find $\lim_{n\to\infty}\int_0^1 nf(x)e^{-nx}$

How can the inverse image of a continuous function not be closed?

Countinuous extension to the whole space of a matrix-valued function $f : E \to GL_n(\mathbb C)$

Analysis - Prove Continuity of $ f(x) = f(x), f²(x) = (f(x))², f³(x) = (f(x))³$

Continuity of a Hölder continuous function depending on a temporal parameter

Prove that if $f $ is $\alpha$-Hölder continuous with $\alpha > 1/2$, then the image of $f $ has measure zero in $\mathbb R^2$.

Finding a topology doesn't convey Hausdorff property by an injective continuous function

Measure theory problem in Cramér–Rao inequality proof

Can we choose a continuous solution trajectory for a linear function

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