Question

Strictly increasing function from $\mathbb{R}$ into $\mathbb{R}\backslash\mathbb{Q}$

score 302 · Answer 1 · 2026-03-26 19:25:22

302

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Strictly increasing function from $\mathbb{R}$ into $\mathbb{R}\backslash\mathbb{Q}$

Published on 26 Mar 2026 - 19:25

score 153 · Answer 2 · 2020-04-14 10:00:32

153

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$f(x)$ is increasing, $g(x)$ is decreasing. Can we asses monotonicity of $f(x) + g(x)$, $f(g(x))$, etc by proving different speeds of changing?

Published on 14 Apr 2020 - 10:00

score 83 · Answer 3 · 2020-04-17 15:20:06

83

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Monotonicity of $f(x)=\max\left\{\frac{|x-y|}{x+y+1}:0\le y\le1\right\}$ for $x\in[0,1]$

Published on 17 Apr 2020 - 15:20

score 156 · Answer 4 · 2020-04-19 17:27:24

156

Views

Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Published on 19 Apr 2020 - 17:27

score 534 · Answer 5 · 2020-04-24 21:21:48

534

Views

Bijection from $[0,1]\times [0,1]$ to $[0,1]$ that preserve the product order

Published on 24 Apr 2020 - 21:21

score 42 · Answer 6 · 2020-04-25 10:23:23

42

Views

Does there exists a non-decreasing function which is also nowhere continuous?

Published on 25 Apr 2020 - 10:23

score 995 · Answer 7 · 2020-04-26 15:37:01

995

Views

Does monotonic function imply continuity?

Published on 26 Apr 2020 - 15:37

score 36 · Answer 8 · 2020-04-28 16:42:56

36

Views

Is the following sequence increasing strictly? If it converges, why?

Published on 28 Apr 2020 - 16:42

score 112 · Answer 9 · 2020-04-28 21:49:35

112

Views

Monotonicity of a fraction combined with series (related to probability distributions)

Published on 28 Apr 2020 - 21:49

score 268 · Answer 10 · 2020-04-29 11:41:55

268

Views

Generating random smooth monotonic functions

Published on 29 Apr 2020 - 11:41

score 110 · Answer 11 · 2020-04-29 20:45:08

110

Views

Is this a sufficient condition for convexity?

Published on 29 Apr 2020 - 20:45

score 34 · Answer 12 · 2020-04-30 06:43:52

34

Views

Existence of the inverse of a function

Published on 30 Apr 2020 - 6:43

score 124 · Answer 13 · 2020-05-01 12:40:50

124

Views

If $f$ increasing, analytic on $\mathbb{R}$ and $\lim_{x\to +\infty}f(x)=1$, does it follows that $\lim_{x\to +\infty}f'(x)=0$?

Published on 01 May 2020 - 12:40

score 158 · Answer 14 · 2020-05-03 09:23:10

158

Views

Tarski Fixed Point Theorem Counterexample?

Published on 03 May 2020 - 9:23

score 462 · Answer 15 · 2020-05-03 13:31:04

462

Views

What are examples illustrating why quasilinear function is different from monotone function?

Published on 03 May 2020 - 13:31

List Question

Strictly increasing function from $\mathbb{R}$ into $\mathbb{R}\backslash\mathbb{Q}$

$f(x)$ is increasing, $g(x)$ is decreasing. Can we asses monotonicity of $f(x) + g(x)$, $f(g(x))$, etc by proving different speeds of changing?

Monotonicity of $f(x)=\max\left\{\frac{|x-y|}{x+y+1}:0\le y\le1\right\}$ for $x\in[0,1]$

Showing that: $A$ maximal monotone $\Longleftrightarrow A^*$ monotone.

Bijection from $[0,1]\times [0,1]$ to $[0,1]$ that preserve the product order

Does there exists a non-decreasing function which is also nowhere continuous?

Does monotonic function imply continuity?

Is the following sequence increasing strictly? If it converges, why?

Monotonicity of a fraction combined with series (related to probability distributions)

Generating random smooth monotonic functions

Is this a sufficient condition for convexity?

Existence of the inverse of a function

If $f$ increasing, analytic on $\mathbb{R}$ and $\lim_{x\to +\infty}f(x)=1$, does it follows that $\lim_{x\to +\infty}f'(x)=0$?

Tarski Fixed Point Theorem Counterexample?

What are examples illustrating why quasilinear function is different from monotone function?

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