Question

Proving the existence of $\sup T$ (Real Analysis)

score 288 · Answer 1 · 2017-02-13 17:26:14

288

Views

Proving the existence of $\sup T$ (Real Analysis)

Published on 13 Feb 2017 - 17:26

score 1k · Answer 2 · 2026-02-23 08:24:57

1k

Views

When are the sup and euclidean metric interchangeable in analysis on $\mathbb{R}^{n}$

Published on 23 Feb 2026 - 8:24

score 97 · Answer 3 · 2017-02-14 14:58:49

97

Views

Rewriting supremum over an image set

Published on 14 Feb 2017 - 14:58

score 1.4k · Answer 4 · 2017-02-17 23:30:20

1.4k

Views

Supremum outside or inside an integral

Published on 17 Feb 2017 - 23:30

score 387 · Answer 5 · 2017-02-18 00:07:40

387

Views

prove that infimum is not attained for this subset of C([0,1])

Published on 18 Feb 2017 - 0:07

score 61 · Answer 6 · 2017-02-18 18:14:37

61

Views

Existence of superior limit of a sequence of functions

Published on 18 Feb 2017 - 18:14

score 97 · Answer 7 · 2017-02-20 21:26:18

97

Views

Find the limit of the sequence defined by: $a_1 = 1, a_{n+1} = e^{-a_{n}}$ for every $n$

Published on 20 Feb 2017 - 21:26

score 53 · Answer 8 · 2017-02-21 23:26:11

53

Views

How to show $a \cdot \|x \| = \sup_{ \|s\| \leq a} s^T \cdot x$?

Published on 21 Feb 2017 - 23:26

score 780 · Answer 9 · 2017-02-22 00:35:19

780

Views

Is it possible to make $ |\sup f - \sup g | \leq \sup |f-g| $ hold for any unbounded functions $f$ and $g$?

Published on 22 Feb 2017 - 0:35

score 5.6k · Answer 10 · 2017-02-22 15:46:47

5.6k

Views

Find infimum of $\{\frac{1}{n^2} | n \in \Bbb N\}$ in $\mathbb{R}$

Published on 22 Feb 2017 - 15:46

score 50 · Answer 11 · 2017-02-22 18:29:06

50

Views

Set defined by infimum

Published on 22 Feb 2017 - 18:29

score 35 · Answer 12 · 2017-02-23 16:49:22

35

Views

Show that there is a constant $c>0$, such that $c\Vert \vec x \Vert\leq\Vert \Phi(\vec x)\Vert_V$ for each $\vec x\in\mathbb R^k$

Published on 23 Feb 2017 - 16:49

score 62 · Answer 13 · 2026-03-29 17:31:46

62

Views

$\sup$, $\limsup$ or else, what is the error here?

Published on 29 Mar 2026 - 17:31

score 121 · Answer 14 · 2017-03-02 04:31:30

121

Views

$f : \mathbb{R} \to \mathbb{R}$ , Suppose $d =\inf_{x \in \mathbb{R}} f'(x)> 0$. Prove that $f(a) = 0$ for some $a \in \mathbb{R}$

Published on 02 Mar 2017 - 4:31

score 6.2k · Answer 15 · 2017-03-02 20:52:54

6.2k

Views

prove that the supremum is $\sqrt{2}$

Published on 02 Mar 2017 - 20:52

List Question

Proving the existence of $\sup T$ (Real Analysis)

When are the sup and euclidean metric interchangeable in analysis on $\mathbb{R}^{n}$

Rewriting supremum over an image set

Supremum outside or inside an integral

prove that infimum is not attained for this subset of C([0,1])

Existence of superior limit of a sequence of functions

Find the limit of the sequence defined by: $a_1 = 1, a_{n+1} = e^{-a_{n}}$ for every $n$

How to show $a \cdot \|x \| = \sup_{ \|s\| \leq a} s^T \cdot x$?

Is it possible to make $ |\sup f - \sup g | \leq \sup |f-g| $ hold for any unbounded functions $f$ and $g$?

Find infimum of $\{\frac{1}{n^2} | n \in \Bbb N\}$ in $\mathbb{R}$

Set defined by infimum

Show that there is a constant $c>0$, such that $c\Vert \vec x \Vert\leq\Vert \Phi(\vec x)\Vert_V$ for each $\vec x\in\mathbb R^k$

$\sup$, $\limsup$ or else, what is the error here?

$f : \mathbb{R} \to \mathbb{R}$ , Suppose $d =\inf_{x \in \mathbb{R}} f'(x)> 0$. Prove that $f(a) = 0$ for some $a \in \mathbb{R}$

prove that the supremum is $\sqrt{2}$

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