List questions from supremum-and-infimum

Published on 25 Mar 2026 - 19:00

1.6k

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Infimum of the set $\{x\in \mathbb{Q}\;|\;x^2<2\}$?

Published on 23 Dec 2018 - 9:31

131

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Does $\sup|A-B| \ge |\sup A -\sup B|$?

Published on 25 Dec 2018 - 15:09

389

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Infinum of exponential function

Published on 27 Dec 2018 - 21:38

83

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Infimum and absolute values (Rudin's baby analysis)

Published on 02 Jan 2019 - 20:55

585

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Question about the completeness axiom

Published on 08 Jan 2019 - 0:08

3.7k

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Proving that a supremum is unique by contradiction

Published on 08 Jan 2019 - 23:51

142

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Continuity of an upper envelope

Published on 26 Mar 2026 - 23:41

454

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Legendre transformation of a piecewise function

Published on 10 Jan 2019 - 15:48

47

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If $p(x)<1,$ then why does there exists $\alpha \in (0,1)$ such that $\alpha^{-1}x\in M$?

Published on 12 Jan 2019 - 19:38

53

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Showing that $\sup(A\cdot B) = \sup(A)\cdot\sup(B)$ for $A$ and $B$ subsets of non-negative reals

Published on 13 Jan 2019 - 7:52

466

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Bounded from below implies the existence of infimum?

Published on 13 Jan 2019 - 13:18

298

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explanation of E[X] = Sup(E[Y] : Y a simple r.v.)

Published on 14 Jan 2019 - 11:33

103

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Determine $\sup \{xy−x^2/2\mid x\in [-1,1]\}$

Published on 15 Jan 2019 - 2:31

714

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Compact set always contains its sup and inf

Published on 15 Jan 2019 - 17:56

List Question

Limits of monotone function

Infimum of the set $\{x\in \mathbb{Q}\;|\;x^2<2\}$?

Does $\sup|A-B| \ge |\sup A -\sup B|$?

Infinum of exponential function

Infimum and absolute values (Rudin's baby analysis)

Question about the completeness axiom

Proving that a supremum is unique by contradiction

Continuity of an upper envelope

Legendre transformation of a piecewise function

If $p(x)<1,$ then why does there exists $\alpha \in (0,1)$ such that $\alpha^{-1}x\in M$?

Showing that $\sup(A\cdot B) = \sup(A)\cdot\sup(B)$ for $A$ and $B$ subsets of non-negative reals

Bounded from below implies the existence of infimum?

explanation of E[X] = Sup(E[Y] : Y a simple r.v.)

Determine $\sup \{xy−x^2/2\mid x\in [-1,1]\}$

Compact set always contains its sup and inf

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