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How to make sense of the simple optimization problem $\min_{x,y} x^2+y^2$?

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#real-analysis #optimization #recreational-mathematics #maxima-minima #supremum-and-infimum
71
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Find supremum and infimum of a set

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#supremum-and-infimum
209
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Boyd & Vandenberghe's pointwise supremum notation

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#optimization #notation #convex-optimization #supremum-and-infimum
87
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Infimum and supremum of the set $A\subset \mathbb Q$

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#analysis #supremum-and-infimum #rational-numbers
137
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Infimum and supremum involving trigonometry

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#real-analysis #proof-explanation #supremum-and-infimum
23
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How to properly formally argue the unboundedness of a sum of supremums

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#supremum-and-infimum #infinity #formal-proofs
213
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Proving that any lower bounded set has an infimum

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#elementary-set-theory #supremum-and-infimum
921
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Supremum and infimum of $\{ \frac{|x|}{1+|x|}:x\in \mathbb{R} \}$ and $\{ x+x^{-1}:0<x \leq 2 \}$

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#analysis #supremum-and-infimum
547
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What is the relation between the minimum and the infimum of a set?

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#analysis #maxima-minima #supremum-and-infimum
243
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Maximum number of minimal set of generators of groups of order $n$

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#group-theory #supremum-and-infimum
103
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Cardinality vs. infimum and supremum

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#elementary-set-theory #solution-verification #supremum-and-infimum
33
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$\sup_{k\geq0}|x_{n+k}-x_n|\leq\sup_{k,l\geq0}|x_{n+k}-x_{n+l}|\leq2\sup_{k\geq0}|x_{n+k}-x_n|$

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#real-analysis #sequences-and-series #supremum-and-infimum
164
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Supremum and Infimum of the multiple variable function

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#functions #supremum-and-infimum
35
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Number of supremum(s) with n elements of set?

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#supremum-and-infimum
47
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existence of point $u,v\in A $ such that $d(u,v)=\sup\{d(x,y):x,y\in A\}$ holds.

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#real-analysis #metric-spaces #compactness #supremum-and-infimum

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