Question

Continuous function that maps a compact set

score 99 · Answer 1 · 2026-03-29 13:59:22

99

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Continuous function that maps a compact set

Published on 29 Mar 2026 - 13:59

score 255 · Answer 2 · 2018-10-13 06:04:26

255

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Is $f$ continuous or not?

Published on 13 Oct 2018 - 6:04

score 160 · Answer 3 · 2026-03-31 18:24:39

160

Views

Kink versus jump

Published on 31 Mar 2026 - 18:24

score 54 · Answer 4 · 2026-03-31 19:17:51

54

Views

Find a continuous non polynomial function so that $\max|f(x)|=1$ for $0\leq x \leq 1$ and $\max|f(x)|$ is as big as we want for $1\leq x \leq 2$

Published on 31 Mar 2026 - 19:17

score 563 · Answer 5 · 2018-10-13 20:05:32

563

Views

Reference for the "points of continuity of a function is a $G_\delta$ set".

Published on 13 Oct 2018 - 20:05

score 264 · Answer 6 · 2026-03-25 10:56:50

264

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For each $\epsilon$, for which $\delta$ does $d(x,y)<\delta\implies d(f(x),f(y))<\epsilon$ hold?

Published on 25 Mar 2026 - 10:56

score 3.7k · Answer 7 · 2018-10-14 03:18:26

3.7k

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Proving that the absolute value of a function is continuous if the function itself is continuous

Published on 14 Oct 2018 - 3:18

score 179 · Answer 8 · 2018-10-14 11:39:35

179

Views

Complex argument is continuous in quotient topology

Published on 14 Oct 2018 - 11:39

score 29 · Answer 9 · 2018-10-14 14:34:41

29

Views

Condition on a probability distribution so that translating it leads to a multiplicatively different distribution, with increasing factor

Published on 14 Oct 2018 - 14:34

score 127 · Answer 10 · 2018-10-14 17:31:52

127

Views

Does existence of limit $x\to 0$ of derivative imply function is differentiable at 0?

Published on 14 Oct 2018 - 17:31

score 112 · Answer 11 · 2018-10-14 19:01:32

112

Views

Is the sum of a uniformly convergent series and a non-uniformly convergent series, uniformly convergent?

Published on 14 Oct 2018 - 19:01

score 270 · Answer 12 · 2026-03-29 15:53:12

270

Views

Proper map induced from a continuous map

Published on 29 Mar 2026 - 15:53

score 643 · Answer 13 · 2018-10-14 21:37:49

643

Views

Proving a function is continuous on a subset of its domain

Published on 14 Oct 2018 - 21:37

score 28 · Answer 14 · 2018-10-14 22:20:26

28

Views

Continuity of cumulative probability function

Published on 14 Oct 2018 - 22:20

score 65 · Answer 15 · 2018-10-14 23:12:31

65

Views

Two definitions of continuity

Published on 14 Oct 2018 - 23:12

List Question

Continuous function that maps a compact set

Is $f$ continuous or not?

Kink versus jump

Find a continuous non polynomial function so that $\max|f(x)|=1$ for $0\leq x \leq 1$ and $\max|f(x)|$ is as big as we want for $1\leq x \leq 2$

Reference for the "points of continuity of a function is a $G_\delta$ set".

For each $\epsilon$, for which $\delta$ does $d(x,y)<\delta\implies d(f(x),f(y))<\epsilon$ hold?

Proving that the absolute value of a function is continuous if the function itself is continuous

Complex argument is continuous in quotient topology

Condition on a probability distribution so that translating it leads to a multiplicatively different distribution, with increasing factor

Does existence of limit $x\to 0$ of derivative imply function is differentiable at 0?

Is the sum of a uniformly convergent series and a non-uniformly convergent series, uniformly convergent?

Proper map induced from a continuous map

Proving a function is continuous on a subset of its domain

Continuity of cumulative probability function

Two definitions of continuity

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