List questions from supremum-and-infimum

Published on 21 Mar 2026 - 17:57

146

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Supremum of Sumset (Proof Writing)

Published on 22 Mar 2026 - 5:30

101

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If $A\subseteq(0,+\infty)$ is nonempty and closed under addition then it is not bounded above.

Published on 22 Mar 2026 - 5:15

101

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Distance between a point $x \in \mathbb R^2$ and $x_1^2+x_2^2 \le 4$

Published on 19 Mar 2026 - 21:14

332

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Prove using the completeness axiom?

Published on 22 Mar 2026 - 3:46

343

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comparing sup and inf of two sets

Published on 22 Mar 2026 - 5:23

922

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Supremum of the operator norm of Jacobian matrix

Published on 22 Mar 2026 - 20:45

2.4k

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Show that Minkowski functional is a sublinear functional

Published on 22 Mar 2026 - 3:40

1.1k

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Trying to figure out $\mu(\liminf_{n\to \infty}A_n) \le \liminf_{n\to \infty}\mu(A_n)$

Published on 22 Mar 2026 - 8:48

717

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Real numbers to real powers

Published on 23 Mar 2026 - 6:05

1.3k

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infimum implies existence of a sequence

Published on 22 Mar 2026 - 20:23

123

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Show $\inf T=\left\{\frac{1}{n}\ |\ n\in\mathbb{N}\right\}=0$

Published on 25 Mar 2026 - 5:41

254

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Prove sup, inf max and min of set

Published on 25 Mar 2026 - 2:57

422

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Proving statement regarding infimum of image of set with monotonically increasing function

Published on 25 Mar 2026 - 5:41

120

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Find infimum and supremum of $S=\left\{\frac{5mn-m-4n-1}{2mn-n+2m-1}\right\}$

Published on 25 Mar 2026 - 5:41

List Question

$\inf A = -\sup (-A)$

Supremum of Sumset (Proof Writing)

If $A\subseteq(0,+\infty)$ is nonempty and closed under addition then it is not bounded above.

Distance between a point $x \in \mathbb R^2$ and $x_1^2+x_2^2 \le 4$

Prove using the completeness axiom?

comparing sup and inf of two sets

Supremum of the operator norm of Jacobian matrix

Show that Minkowski functional is a sublinear functional

Trying to figure out $\mu(\liminf_{n\to \infty}A_n) \le \liminf_{n\to \infty}\mu(A_n)$

Real numbers to real powers

infimum implies existence of a sequence

Show $\inf T=\left\{\frac{1}{n}\ |\ n\in\mathbb{N}\right\}=0$

Prove sup, inf max and min of set

Proving statement regarding infimum of image of set with monotonically increasing function

Find infimum and supremum of $S=\left\{\frac{5mn-m-4n-1}{2mn-n+2m-1}\right\}$

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