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Difference between finding $\sup\{x\in\mathbb{Q}: x>0,x^2<2\}$ and when $x\in \mathbb{R}$

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#real-analysis #problem-solving #supremum-and-infimum
236
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Approximation property for supremum

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#real-analysis #solution-verification #supremum-and-infimum
45
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The supremum function for ideals is continuous

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#continuity #order-theory #supremum-and-infimum
116
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Right unitor in the monoidal category of sup-lattices

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#category-theory #order-theory #supremum-and-infimum #lattice-orders #monoidal-categories
108
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Various definitions of Supremum stated formally

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#definition #supremum-and-infimum
62
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Does this inequality have any solutions over the positive integers?

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#algebra-precalculus #number-theory #inequality #solution-verification #supremum-and-infimum
99
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If $f$ is continuous and non-negative, then $\inf (f)^2=\inf (f^2)$?

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#real-analysis #solution-verification #supremum-and-infimum
46
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Motivation for definition of essentially bounded

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#measure-theory #supremum-and-infimum
258
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Distance between a function and a subspace in $C[-1,1]$

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#functional-analysis #normed-spaces #supremum-and-infimum
34
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Find upper bounds and lower bounds of the sets

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#real-analysis #supremum-and-infimum
39
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The worst case error in robust approximation with Uncertainty ellipsoids

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#normed-spaces #convex-optimization #conic-sections #approximation #supremum-and-infimum
110
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Supremum of $(1-1/n^2)^n$

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#inequality #supremum-and-infimum
52
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Prove that $\bar{B}_1(0)=\{f \in \mathcal{C}^{1}([0,1]) | \: \lVert f \rVert_{1,\infty} \leq 1\}$ is relatively compact but not compact

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#functional-analysis #continuity #compactness #supremum-and-infimum
65
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Supremum of $\frac{m}{(n^2 + m)} $

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#real-analysis #analysis #supremum-and-infimum
154
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Proving the equivalence of two definitions of the supremum of a set

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#real-analysis #proof-writing #definition #first-order-logic #supremum-and-infimum

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