Question

Weakly convex function that is not convex?

score 4.3k · Answer 1 · 2026-04-14 23:51:02

4.3k

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Weakly convex function that is not convex?

Published on 14 Apr 2026 - 23:51

score 697 · Answer 2 · 2026-04-12 23:42:04

697

Views

Property of nonnegative integrable function on a finite measure space

Published on 12 Apr 2026 - 23:42

score 166 · Answer 3 · 2026-04-12 11:35:17

166

Views

How to show that the set is at most countable?

Published on 12 Apr 2026 - 11:35

score 203 · Answer 4 · 2026-05-04 04:57:48

203

Views

The lub of the usual and co-countable topology on $\mathbb R$

Published on 04 May 2026 - 4:57

score 86 · Answer 5 · 2026-04-16 18:49:01

86

Views

Prove or disapprove

Published on 16 Apr 2026 - 18:49

score 1.3k · Answer 6 · 2026-04-13 21:48:02

1.3k

Views

Let $f:\mathbb{R}\to\mathbb{R}$, $f(kx)=f(x)$. Show that if $f$ is continuous at $0$ then $f$ is a Constant function

Published on 13 Apr 2026 - 21:48

score 2k · Answer 7 · 2026-05-02 14:58:02

2k

Views

Difficulties in stating mean value theorem for functions which are not continuous on a closed interval.

Published on 02 May 2026 - 14:58

score 612 · Answer 8 · 2026-04-16 23:07:11

612

Views

Are the sets $\{(x, y): x^2 + y^2 < 1\}$ and $\{(x, y): 0 < x^2 + y^2 < 1\}$ homeomorphic?

Published on 16 Apr 2026 - 23:07

score 781 · Answer 9 · 2026-04-13 09:21:35

781

Views

Discontinuity set of derivative

Published on 13 Apr 2026 - 9:21

score 838 · Answer 10 · 2026-04-09 08:09:23

838

Views

Show that $d$ is equivalent to the usual metric on $\mathbb{N}$ but that $(\mathbb{N},d)$ is not complete.

Published on 09 Apr 2026 - 8:09

score 55 · Answer 11 · 2026-04-16 03:38:50

55

Views

prove that exist $c$ at $[a,b]$ ,so that for every $\varepsilon>0$ there is $x$ that $0<|x-c|<\varepsilon$ and $f(x)=0$

Published on 16 Apr 2026 - 3:38

score 140 · Answer 12 · 2026-04-29 12:54:20

140

Views

Show that $1$ is a repelling fixed point for $f(x)=x^2$.

Published on 29 Apr 2026 - 12:54

score 108 · Answer 13 · 2026-04-17 15:58:32

108

Views

Prove $f(x) =0$ for all $x$

Published on 17 Apr 2026 - 15:58

score 229 · Answer 14 · 2026-03-25 17:38:41

229

Views

Compact support in calculus of variations

Published on 25 Mar 2026 - 17:38

score 66 · Answer 15 · 2026-03-25 12:24:15

66

Views

It seems that max value will occur at $a=1$.

Published on 25 Mar 2026 - 12:24

List Question

Weakly convex function that is not convex?

Property of nonnegative integrable function on a finite measure space

How to show that the set is at most countable?

The lub of the usual and co-countable topology on $\mathbb R$

Prove or disapprove

Let $f:\mathbb{R}\to\mathbb{R}$, $f(kx)=f(x)$. Show that if $f$ is continuous at $0$ then $f$ is a Constant function

Difficulties in stating mean value theorem for functions which are not continuous on a closed interval.

Are the sets $\{(x, y): x^2 + y^2 < 1\}$ and $\{(x, y): 0 < x^2 + y^2 < 1\}$ homeomorphic?

Discontinuity set of derivative

Show that $d$ is equivalent to the usual metric on $\mathbb{N}$ but that $(\mathbb{N},d)$ is not complete.

prove that exist $c$ at $[a,b]$ ,so that for every $\varepsilon>0$ there is $x$ that $0<|x-c|<\varepsilon$ and $f(x)=0$

Show that $1$ is a repelling fixed point for $f(x)=x^2$.

Prove $f(x) =0$ for all $x$

Compact support in calculus of variations

It seems that max value will occur at $a=1$.

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