min/max
From Maths
TODO: Flesh out this page - I created it only to document the [ilmath]a\vee b:=\max(a,b)[/ilmath] seen in Probability and Stochastics
Contents
Definition
Traditionally:
- [math]\max(x,y):=\left\{\begin{array}{lr}x & \text{if }x\ge y\\ y & \text{otherwise}\end{array}\right.[/math]
- [math]\min(x,y):=\left\{\begin{array}{lr}x & \text{if }x\le y\\ y & \text{otherwise}\end{array}\right.[/math]
Notations
| [ilmath]\min[/ilmath] | Definition | [ilmath]\max[/ilmath] | Definition | Comment |
|---|---|---|---|---|
| [ilmath]a\wedge b[/ilmath] | [ilmath]a\wedge b:=\min(a,b)[/ilmath][1] | [ilmath]a\vee b[/ilmath] | [ilmath]a\vee b:=\max(a,b)[/ilmath][1] | I've not seen this notation used ANYWHERE else |
