Difference between revisions of "Min/max"
From Maths
(Created page with "{{Todo|Flesh out this page - I created it only to document the {{M|1=a\vee b:=\max(a,b)}} seen in Probability and Stochastics}} ==Definition== Traditionally: * {{MM|1=\max(x,y...") |
m |
||
| Line 19: | Line 19: | ||
| I've not seen this notation used ANYWHERE else | | I've not seen this notation used ANYWHERE else | ||
|} | |} | ||
| + | ==See also== | ||
| + | * [[Positive and negative parts of a function]] | ||
==References== | ==References== | ||
<references/> | <references/> | ||
{{DISPLAYTITLE:min/max}} | {{DISPLAYTITLE:min/max}} | ||
{{Definition|Set Theory|Real Analysis|Measure Theory}} | {{Definition|Set Theory|Real Analysis|Measure Theory}} | ||
Latest revision as of 02:51, 3 August 2015
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 |
