List questions from supremum-and-infimum

Published on 28 Mar 2026 - 2:23

53

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Min/max, inf/sup

Published on 29 Nov 2023 - 1:08

47

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lim sup of maximum

Published on 30 Mar 2026 - 7:06

34

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Combination of function values on subinterval is bounded by $\inf$/$\sup$ of function.

Published on 29 Mar 2026 - 10:07

87

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Prove $r^3 = 2$ where $r = \sup\, E$

Published on 01 Dec 2023 - 18:55

46

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Inequality of supremum

Published on 25 Mar 2026 - 22:03

37

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obtain the supremum and infimum of the given set.

Published on 02 Dec 2023 - 10:26

38

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Properites of Lattices imply eachother.

Published on 30 Mar 2026 - 13:24

49

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Does the inequality $\inf_{|z|=1} U(x, z)\le U(x, y/|y|)\le \sup_{|z|=1} U(x, z)$ hold true?

Published on 02 Dec 2023 - 12:58

42

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Upper bound Frobenius norm of transition matrix

Published on 23 Feb 2026 - 16:58

115

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Let $X_{n}$ and $Y_{n}$ are two bounded sequence. I need to prove $\sup_{n\in\mathbb N}|X_{n}-Y_{n}|=0$ iff $X_{n}=Y_{n}$ for all $n$

Published on 05 Dec 2023 - 6:57

46

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Minimizing a line integral in 2 dimensions : $\inf \int_{(a,b)}^{(c,d)} f(r(t)) |r'(t)| dt$

Published on 25 Mar 2026 - 18:49

43

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Proving that the exterior measure of a closed cube is equal to its volume

Published on 09 Dec 2023 - 21:13

165

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Is the 'greatest negative number' indeterminate, not defined or doesn't exist?

Published on 16 Dec 2023 - 15:20

83

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I found the argument for why $\sup(a,b) = b$ in my textbook unconvincing. Please advice.

Published on 18 Dec 2023 - 9:08

List Question

About $f(x) = \frac{\sum_{n=1}^{\infty} \sin^2(x/n)}{x}$

Min/max, inf/sup

lim sup of maximum

Combination of function values on subinterval is bounded by $\inf$/$\sup$ of function.

Prove $r^3 = 2$ where $r = \sup\, E$

Inequality of supremum

obtain the supremum and infimum of the given set.

Properites of Lattices imply eachother.

Does the inequality $\inf_{|z|=1} U(x, z)\le U(x, y/|y|)\le \sup_{|z|=1} U(x, z)$ hold true?

Upper bound Frobenius norm of transition matrix

Let $X_{n}$ and $Y_{n}$ are two bounded sequence. I need to prove $\sup_{n\in\mathbb N}|X_{n}-Y_{n}|=0$ iff $X_{n}=Y_{n}$ for all $n$

Minimizing a line integral in 2 dimensions : $\inf \int_{(a,b)}^{(c,d)} f(r(t)) |r'(t)| dt$

Proving that the exterior measure of a closed cube is equal to its volume

Is the 'greatest negative number' indeterminate, not defined or doesn't exist?

I found the argument for why $\sup(a,b) = b$ in my textbook unconvincing. Please advice.

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