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I'm searching for some symbol representing minimum that is commonly used in math equations.

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Wait - what's wrong with 'min'? – awesomeguy Apr 10 '11 at 22:44
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If you are looking for a symbol (and for some reason want to avoid the clear, and much more common notation "$\text{min}$"), I believe that some people use $\wedge$ - see here.

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Indeed, $\wedge$ is a common abbreviation for min, and similarly $\vee$ for max. Especially, it seems, in probability theory. For example, in stochastic processes, a process $X_t$ stopped at a time $T$ is often written as $X^T_t\equiv X_{t\wedge T}$. Using $\vee$ and $\wedge$ is less cumbersome that max/min, especially in subscripts and superscripts. – George Lowther Apr 10 '11 at 23:57
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