Question

Max dimension of subspace $U\subseteq V$, where $V$ is a vector space of functions $[0,1]\rightarrow \Bbb R$

score 407 · Answer 1 · 2018-06-21 07:24:57

407

Views

Max dimension of subspace $U\subseteq V$, where $V$ is a vector space of functions $[0,1]\rightarrow \Bbb R$

Published on 21 Jun 2018 - 7:24

score 46 · Answer 2 · 2018-06-24 17:01:36

46

Views

quotient of monotonic transformation of a function

Published on 24 Jun 2018 - 17:01

score 68 · Answer 3 · 2018-06-25 10:19:44

68

Views

Is a function $f$ monotone decreasing if $\lim _{x\to b }f\left(x\right)\:=\:0$ and $f\left(x\right) \ge 0$ $\forall x \in [a,b]$?

Published on 25 Jun 2018 - 10:19

score 197 · Answer 4 · 2018-07-03 05:52:08

197

Views

$\frac{x^5}{5!}- \frac{x^7}{7!}+ \frac{x^9}{9!}+\dots>0$ holds for $x>0$

Published on 03 Jul 2018 - 5:52

score 82 · Answer 5 · 2018-07-03 07:16:10

82

Views

Show that $\operatorname{Im} f$ is a union of two disjoint intervals

Published on 03 Jul 2018 - 7:16

score 94 · Answer 6 · 2018-07-05 20:46:54

94

Views

Bounded completely monotone function has bounded derivative

Published on 05 Jul 2018 - 20:46

score 64 · Answer 7 · 2018-07-06 17:31:39

64

Views

An example for a function that is defined in $[0,1]\rightarrow \mathbb{R}$ and is integrable but is not monotone and not continuous in $[0,1]$

Published on 06 Jul 2018 - 17:31

score 104 · Answer 8 · 2026-03-25 01:17:46

104

Views

Nontrivial solutions to $\sum f(x) - \int f(x) = \gamma $?

Published on 25 Mar 2026 - 1:17

score 28 · Answer 9 · 2018-07-21 02:14:37

28

Views

Order in which to take max and square

Published on 21 Jul 2018 - 2:14

score 319 · Answer 10 · 2018-07-21 16:32:43

319

Views

Monotonicity of vector fields

Published on 21 Jul 2018 - 16:32

score 66 · Answer 11 · 2018-07-24 12:41:10

66

Views

Understanding proof of monotonic increasing function and continuity

Published on 24 Jul 2018 - 12:41

score 169 · Answer 12 · 2018-07-26 17:53:06

169

Views

Sufficient condition to show that f(x) is monotonic in some neighbourhood of x

Published on 26 Jul 2018 - 17:53

score 65 · Answer 13 · 2018-07-31 13:34:16

65

Views

If $g(.)$ is a monotonically increasing function and $a <b$, is $a<g(a)<g(b)<b$?

Published on 31 Jul 2018 - 13:34

score 730 · Answer 14 · 2018-08-01 08:24:49

730

Views

Maximum preserved under monotonic mapping

Published on 01 Aug 2018 - 8:24

score 420 · Answer 15 · 2018-08-02 09:45:58

420

Views

If $g:[0,1] \to \Bbb{R}$ such that $g(x)=g(y) \implies g'(x)=g'(y)$ for all $x,y \in (0,1)$, then $g$ is monotonic?

Published on 02 Aug 2018 - 9:45

List Question

Max dimension of subspace $U\subseteq V$, where $V$ is a vector space of functions $[0,1]\rightarrow \Bbb R$

quotient of monotonic transformation of a function

Is a function $f$ monotone decreasing if $\lim _{x\to b }f\left(x\right)\:=\:0$ and $f\left(x\right) \ge 0$ $\forall x \in [a,b]$?

$\frac{x^5}{5!}- \frac{x^7}{7!}+ \frac{x^9}{9!}+\dots>0$ holds for $x>0$

Show that $\operatorname{Im} f$ is a union of two disjoint intervals

Bounded completely monotone function has bounded derivative

An example for a function that is defined in $[0,1]\rightarrow \mathbb{R}$ and is integrable but is not monotone and not continuous in $[0,1]$

Nontrivial solutions to $\sum f(x) - \int f(x) = \gamma $?

Order in which to take max and square

Monotonicity of vector fields

Understanding proof of monotonic increasing function and continuity

Sufficient condition to show that f(x) is monotonic in some neighbourhood of x

If $g(.)$ is a monotonically increasing function and $a <b$, is $a<g(a)<g(b)<b$?

Maximum preserved under monotonic mapping

If $g:[0,1] \to \Bbb{R}$ such that $g(x)=g(y) \implies g'(x)=g'(y)$ for all $x,y \in (0,1)$, then $g$ is monotonic?

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