# Which branch of mathematics does arg max come from?

1. Jun 4, 2012

### Cinitiator

1. The problem statement, all variables and given/known data
Which branch of mathematics does arg max come from? The set theory?

2. Relevant equations

3. The attempt at a solution
Googling

2. Jun 4, 2012

### Ray Vickson

It does not "come from" any particular branch, but is very commonly used in Optimization theory and practice---as does the corresponding term "argmin". It is a lot easier to say $x_0 = \text{argmax} f(x)$ than to say " $x_0$ is the x that maximizes f(x)".

RGV