List questions from supremum-and-infimum

Published on 08 Oct 2023 - 13:56

47

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A question about sup and inf

Published on 08 Oct 2023 - 21:14

73

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Finding the supremum of a function given its domain

Published on 10 Oct 2023 - 14:50

145

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$\frac34\le\sum_\text{cyc}\big(\frac{x}{x+1}\big)^2<2\ $ for $x,y,z>0$ and $xyz=1$.

Published on 26 Mar 2026 - 4:35

108

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Calculate $\int_0^1 x^2~dx$ only by using upper-/lower Darboux sums

Published on 29 Mar 2026 - 8:18

42

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Finding disjoint, closed sets with points arbitrarily close together

Published on 11 Oct 2023 - 19:12

49

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Using the Least Upper Bound Property to prove a condition

Published on 31 Mar 2026 - 12:12

83

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$\sup C = \inf A \inf B$ for $A,B$ bounded sets of negative reals and $C$ products of $A$ and $B$

Published on 16 Oct 2023 - 14:48

56

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Whether $\sup(\sum\limits_{i=1}^{\infty}X_i)$ is equal to $\sum\limits_{i=1}^{\infty}(\sup X_i)$

Published on 23 Feb 2026 - 4:20

44

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Computation of $\sup_{x}\inf_{y} 4yx-x-2y$

Published on 17 Oct 2023 - 6:45

346

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Verification of a proof for supremum and infimum of the set $A=${$(n^3+1)/(n^4+16):n\in\mathbb{N}$}

Published on 18 Oct 2023 - 0:55

45

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Methods of Analysis: Sequence and Convergence

Published on 01 Apr 2026 - 3:39

105

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Basic Analysis Jiri Lebl Exercises 1.1.6 and 1.1.12

Published on 21 Oct 2023 - 5:44

59

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Proof of an Infimum of a Subset

Published on 22 Oct 2023 - 23:58

110

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Solving an "almost differential" equation

Published on 23 Oct 2023 - 22:40

List Question

Find all the values that the expresion $\sum_{cyc} \frac{a}{a+b+d}$ takes.

A question about sup and inf

Finding the supremum of a function given its domain

$\frac34\le\sum_\text{cyc}\big(\frac{x}{x+1}\big)^2<2\ $ for $x,y,z>0$ and $xyz=1$.

Calculate $\int_0^1 x^2~dx$ only by using upper-/lower Darboux sums

Finding disjoint, closed sets with points arbitrarily close together

Using the Least Upper Bound Property to prove a condition

$\sup C = \inf A \inf B$ for $A,B$ bounded sets of negative reals and $C$ products of $A$ and $B$

Whether $\sup(\sum\limits_{i=1}^{\infty}X_i)$ is equal to $\sum\limits_{i=1}^{\infty}(\sup X_i)$

Computation of $\sup_{x}\inf_{y} 4yx-x-2y$

Verification of a proof for supremum and infimum of the set $A=${$(n^3+1)/(n^4+16):n\in\mathbb{N}$}

Methods of Analysis: Sequence and Convergence

Basic Analysis Jiri Lebl Exercises 1.1.6 and 1.1.12

Proof of an Infimum of a Subset

Solving an "almost differential" equation

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