Which branch of mathematics does arg max come from?

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SUMMARY

The term "arg max" is primarily associated with Optimization theory and practice, rather than a specific branch of mathematics like set theory. It serves as a concise way to express the value of x that maximizes a function, as in the notation x_0 = argmax f(x). This notation simplifies communication in mathematical optimization contexts, making it easier to convey complex ideas succinctly.

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Cinitiator
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Homework Statement


Which branch of mathematics does arg max come from? The set theory?

Homework Equations


b42ce24464f53822091c01d6eab7df16.png



The Attempt at a Solution


Googling
 
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Cinitiator said:

Homework Statement


Which branch of mathematics does arg max come from? The set theory?

Homework Equations


b42ce24464f53822091c01d6eab7df16.png



The Attempt at a Solution


Googling

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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