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Which branch of mathematics does arg max come from?

  1. Jun 4, 2012 #1
    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
    b42ce24464f53822091c01d6eab7df16.png


    3. The attempt at a solution
    Googling
     
  2. jcsd
  3. Jun 4, 2012 #2

    Ray Vickson

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    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 [itex] x_0 = \text{argmax} f(x) [/itex] than to say " [itex] x_0[/itex] is the x that maximizes f(x)".

    RGV
     
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