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My question is about notation. I have maximum of the function $f(x)$. This can be expressed as $\max(f)$ How can I express in compact form that $x_0$ is the location of that maximum.

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    http://en.wikipedia.org/wiki/Arg_max2011-08-01
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    This has nothing to do with set theory.2011-08-01
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    @Mike, you can refer not only to the "maximum" of $f$, but also to a "maximizer." So $x$ is a maximizer of $f$ iff $f$ has a maximum, and $f(x)$ equals that maximum.2013-04-15

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