List questions from supremum-and-infimum

Published on 30 Aug 2021 - 12:23

75

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Help with infimum of a set.

Published on 01 Sep 2021 - 18:54

216

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Proof of the Vapnik-Chervonenkis inequality: Probabilistic/analysis argument in symmetrization by random signs step.

Published on 02 Sep 2021 - 4:44

177

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Find supremum and infimum of $(1-1/n^2)^n$

Published on 02 Sep 2021 - 8:13

282

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Find supremum and infimum of $\{\arctan n\}^{\infty}_{n=1}$

Published on 02 Sep 2021 - 22:59

99

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Find supremum and infimum of $\left\lbrace\frac{\cos n\pi}{n^2+1}\right\rbrace^{\infty}_{n=1}$

Published on 03 Sep 2021 - 0:02

435

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Understanding why only finite sets have maximum/minimum

Published on 05 Sep 2021 - 3:21

39

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Prove that $\|v\|$ is the supremum of this set.

Published on 05 Sep 2021 - 10:21

37

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Determine if the function is increasing or decreasing

Published on 06 Sep 2021 - 22:50

76

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What assumptions on $f$ guarantee that $\sup_{|u|\le r} g(u)\in L^{\infty}(\mathbb{R})$?

Published on 07 Sep 2021 - 19:43

55

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Show that $\{x \in X: \sup_{i} f_i(x) > r \}= \bigcup_{i} \{x \in X : f_i(x) >r \}.$

Published on 26 Feb 2026 - 20:04

35

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Why can't the limit of $A(n)$ as $n$ tends to $\infty$ be considered the supremum here?

Published on 06 Apr 2026 - 21:13

180

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Fundamental theorem of calculus for monotone function

Published on 29 Mar 2026 - 13:22

54

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Minimum symbol precedence

Published on 11 Sep 2021 - 10:10

101

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For $x,y$ strictly positive is it true that $\frac{xy}{(x+y)^2}$ is bounded by $1/4$

Published on 11 Sep 2021 - 18:57

List Question

Maximum vs supremum in subsets of R

Help with infimum of a set.

Proof of the Vapnik-Chervonenkis inequality: Probabilistic/analysis argument in symmetrization by random signs step.

Find supremum and infimum of $(1-1/n^2)^n$

Find supremum and infimum of $\{\arctan n\}^{\infty}_{n=1}$

Find supremum and infimum of $\left\lbrace\frac{\cos n\pi}{n^2+1}\right\rbrace^{\infty}_{n=1}$

Understanding why only finite sets have maximum/minimum

Prove that $\|v\|$ is the supremum of this set.

Determine if the function is increasing or decreasing

What assumptions on $f$ guarantee that $\sup_{|u|\le r} g(u)\in L^{\infty}(\mathbb{R})$?

Show that $\{x \in X: \sup_{i} f_i(x) > r \}= \bigcup_{i} \{x \in X : f_i(x) >r \}.$

Why can't the limit of $A(n)$ as $n$ tends to $\infty$ be considered the supremum here?

Fundamental theorem of calculus for monotone function

Minimum symbol precedence

For $x,y$ strictly positive is it true that $\frac{xy}{(x+y)^2}$ is bounded by $1/4$

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