Why do we need $\sup$ and $\inf$ when we have $\max$ and $\min$.
62377
max and min versus sup and inf
87239
Prove functions defined by sup and inf are continuous
76330
Maximum and Minimum values for ints
76863
How to show $ \sup \inf g(x,y) \leq \inf \sup g(x,y)$?
84890
Extremising a functional with conditions
96927
Modus Operandi. Formulae for Maximum and Minimum of two numbers with a + b and $|a - b|$
41026
How to prove and interpret $\operatorname{rank}(AB) \leq \operatorname{min}(\operatorname{rank}(A), \operatorname{rank}(B))$?
66824
Two definitions of $\limsup$
1521
Supremum and Infimum
90350
How can we replace $\sup$ with $\max$ in definition of subordinate norm for finite-dimensional vector space?
120422
The joint density of the max and min of two independent exponentials
72813
If $X$ and $Y$ are uniformly distributed on $(0,1)$, what is the distribution of $\max(X,Y)/\min(X,Y)$?
95084
What is the expected value of $\min\{|X|,|Y|\}/\max\{|X|,|Y|\}$ assuming $X$ and $Y$ are independent?
19741
If $(\mu_t)_{t\in I}$ and $(\mu_t\ast\nu_t)_{t\in I}$ are tight, then $(\nu_t)_{t\in I}$ is tight
103744
Minimal $ab$ for Rational Number $a/b$ in an Interval
96931
Supremum and infimum of $\{\frac{1}{n}-\frac{1}{m}:m, n \in \mathbb{N}\}$
155493
Minimum value of the expression given below.