Question

Find the infimum of the function $2x^3-9x^2+12x+5$ $X\le5$.

score 34 · Answer 1 · 2019-09-27 10:13:00

34

Views

Find the infimum of the function $2x^3-9x^2+12x+5$ $X\le5$.

Published on 27 Sep 2019 - 10:13

score 126 · Answer 2 · 2019-09-27 12:11:41

126

Views

Prove the equality $\inf_{z>y} \inf E_z=\inf \cup_{z>y}E_z, \ E_z:=\{x:f(x)>z\}$

Published on 27 Sep 2019 - 12:11

score 39 · Answer 3 · 2019-09-28 05:21:13

39

Views

For a point p ∈ Rd and a set S ⊂ Rd, we define the distance from p to S to be.. Show that p is a limit point of S if and only if ρ(p,S) = 0.

Published on 28 Sep 2019 - 5:21

score 105 · Answer 4 · 2026-03-27 19:32:31

105

Views

Proof check and hints?: $y=x^{1/n}\iff y^n=x$

Published on 27 Mar 2026 - 19:32

score 287 · Answer 5 · 2019-09-29 08:06:46

287

Views

why only $\sup(S) $ can satisfy $M - \epsilon <= x$

Published on 29 Sep 2019 - 8:06

score 144 · Answer 6 · 2019-09-29 09:46:19

144

Views

how to determine the $\sup (S)$ and $\inf (S) $ of $(n+1)^{2} / 2^{n}$

Published on 29 Sep 2019 - 9:46

score 66 · Answer 7 · 2019-10-01 10:08:53

66

Views

Sup of product of sets

Published on 01 Oct 2019 - 10:08

score 1.1k · Answer 8 · 2026-03-25 05:09:48

1.1k

Views

Proving that $m^*(E)=\sup\{m(F)\mid F\text{ is closed}, F\subset E\}$ iff $E$ is measurable

Published on 25 Mar 2026 - 5:09

score 107 · Answer 9 · 2014-03-18 17:12:30

107

Views

$\exists f:\mathbb{R}\rightarrow \mathbb{R},$ continuous, non-constant, with uncountably many extrema?

Published on 18 Mar 2014 - 17:12

score 4.1k · Answer 10 · 2014-04-16 01:54:57

4.1k

Views

How to prove that the spectral radius of a linear operator is the infimum over all subordinate norms of the corresponding norm of the operator.

Published on 16 Apr 2014 - 1:54

score 4.1k · Answer 11 · 2014-04-21 03:21:50

4.1k

Views

Prove the infimum of monotone decreasing set equals its limit

Published on 21 Apr 2014 - 3:21

score 263 · Answer 12 · 2014-04-25 10:25:59

263

Views

If $S=\text{{$-\infty,\ldots,0$}}$, does there exist infimum?

Published on 25 Apr 2014 - 10:25

score 2.6k · Answer 13 · 2026-03-27 23:48:15

2.6k

Views

Prove $\sup(|f|) - \inf(|f|) \leq \sup(f) - \inf(f)$ for bounded function $f$ on set $S$

Published on 27 Mar 2026 - 23:48

score 45 · Answer 14 · 2026-03-27 10:10:47

45

Views

Determine the Law of $F^{-1}(U)$

Published on 27 Mar 2026 - 10:10

score 2.3k · Answer 15 · 2026-03-28 01:48:16

2.3k

Views

Infimum of absolute values versus absolute value of infimum

Published on 28 Mar 2026 - 1:48

List Question

Find the infimum of the function $2x^3-9x^2+12x+5$ $X\le5$.

Prove the equality $\inf_{z>y} \inf E_z=\inf \cup_{z>y}E_z, \ E_z:=\{x:f(x)>z\}$

For a point p ∈ Rd and a set S ⊂ Rd, we define the distance from p to S to be.. Show that p is a limit point of S if and only if ρ(p,S) = 0.

Proof check and hints?: $y=x^{1/n}\iff y^n=x$

why only $\sup(S) $ can satisfy $M - \epsilon <= x$

how to determine the $\sup (S)$ and $\inf (S) $ of $(n+1)^{2} / 2^{n}$

Sup of product of sets

Proving that $m^*(E)=\sup\{m(F)\mid F\text{ is closed}, F\subset E\}$ iff $E$ is measurable

$\exists f:\mathbb{R}\rightarrow \mathbb{R},$ continuous, non-constant, with uncountably many extrema?

How to prove that the spectral radius of a linear operator is the infimum over all subordinate norms of the corresponding norm of the operator.

Prove the infimum of monotone decreasing set equals its limit

If $S=\text{{$-\infty,\ldots,0$}}$, does there exist infimum?

Prove $\sup(|f|) - \inf(|f|) \leq \sup(f) - \inf(f)$ for bounded function $f$ on set $S$

Determine the Law of $F^{-1}(U)$

Infimum of absolute values versus absolute value of infimum

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