min/max

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TODO: Flesh out this page - I created it only to document the ab:=max seen in Probability and Stochastics


Definition

Traditionally:

  • \max(x,y):=\left\{\begin{array}{lr}x & \text{if }x\ge y\\ y & \text{otherwise}\end{array}\right.
  • \min(x,y):=\left\{\begin{array}{lr}x & \text{if }x\le y\\ y & \text{otherwise}\end{array}\right.

Notations

\min Definition \max Definition Comment
a\wedge b a\wedge b:=\min(a,b)[1] a\vee b a\vee b:=\max(a,b)[1] I've not seen this notation used ANYWHERE else

See also

References

  1. Jump up to: 1.0 1.1 Probability and Stochastics - Erhan Cinlar