List questions from supremum-and-infimum

Published on 11 Apr 2026 - 10:51

51

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Why is it impossible to have different integration results in cartesian and polar coordinates?

Published on 03 Apr 2026 - 22:38

52

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Consider the set $\;A=\left\{3-\dfrac{4}{x}:x\ge2\right\}$. How do I prove that $1$ is the minimum?

Published on 18 Dec 2022 - 17:27

45

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Proving supremum of set of all different "net area of finite number of circles inside a square of side $a=a^2$

Published on 19 Dec 2022 - 14:16

191

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When to use $\max$ and $\sup$

Published on 11 Apr 2026 - 4:10

274

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bounding norm of RKHS

Published on 26 Mar 2026 - 12:45

32

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Maximal inequality for time-continuous martingales: counter-example

Published on 11 Apr 2026 - 15:02

165

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Is it true that $\limsup_{n\to\infty}(\sup_{x\in B}f_n(x))\leq\sup_{x\in B}(\lim\sup_{n\to\infty}f_n(x))$?

Published on 07 Apr 2026 - 20:56

240

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Understanding an inequality with supremum of minumum

Published on 09 Apr 2026 - 9:34

81

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Suppose $|X_n|\leqslant Y$ a.s. for all $n\in\Bbb N$. Show that $\sup|X_n|\leqslant Y$ a.s. too

Published on 02 Jan 2023 - 16:32

32

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Find nature of this series

Published on 05 Jan 2023 - 18:02

47

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upper-bounding $e$ by $\left(1+\frac{1}{x}\right)^{x+\delta}$ with a positive $\delta$

Published on 06 Jan 2023 - 16:51

72

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Does existence of $\sup (A \cup B)$ imply existence of $\sup A$ and $\sup B$?

Published on 11 Apr 2026 - 18:48

143

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Finding $\inf(\{30, 40\})$ and $\sup(\{2, 5\})$ in Hasse diagram

Published on 11 Apr 2026 - 11:08

110

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Show $\sup\{a \in D: a^2 \leq 3\} = \sqrt{3}$.

Published on 20 Jan 2023 - 15:02

List Question

Finding and proving supremum and infimum of a function

Why is it impossible to have different integration results in cartesian and polar coordinates?

Consider the set $\;A=\left\{3-\dfrac{4}{x}:x\ge2\right\}$. How do I prove that $1$ is the minimum?

Proving supremum of set of all different "net area of finite number of circles inside a square of side $a=a^2$

When to use $\max$ and $\sup$

bounding norm of RKHS

Maximal inequality for time-continuous martingales: counter-example

Is it true that $\limsup_{n\to\infty}(\sup_{x\in B}f_n(x))\leq\sup_{x\in B}(\lim\sup_{n\to\infty}f_n(x))$?

Understanding an inequality with supremum of minumum

Suppose $|X_n|\leqslant Y$ a.s. for all $n\in\Bbb N$. Show that $\sup|X_n|\leqslant Y$ a.s. too

Find nature of this series

upper-bounding $e$ by $\left(1+\frac{1}{x}\right)^{x+\delta}$ with a positive $\delta$

Does existence of $\sup (A \cup B)$ imply existence of $\sup A$ and $\sup B$?

Finding $\inf(\{30, 40\})$ and $\sup(\{2, 5\})$ in Hasse diagram

Show $\sup\{a \in D: a^2 \leq 3\} = \sqrt{3}$.

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