What are the common abbreviation for minimum in equations? I'm searching for some symbol representing minimum that is commonly used in math equations.
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.
The choice of symbol, depends mainly on the mathematics, physics, or programming discipline the equation is used in.

Merrian-Webster defines minimum as "the least quantity assignable, admissible, or possible." 

For ordering, minimum means 'less than or equal to', which
is symbolized in some/many mathematics disciplines as ≤. 
List A = [1 0 1 0], List B = [1 1 0 0];  List (A[i]≤B[j] = [1 0 0 0].
For Boolean algebras, just multiply the two lists to generate the minimums:
List (A[i]*[j] = [1 0 0 0].  For Boolean Algebra * is a 'minimum' operator,
whereas + is a 'maximum' operator.

But, as mentioned above,  'min' is OK, as most programming languages
use some variant of min(). but C does not. Program comments would use either
'min' or '&lt;=, both easy ASCII typing.

Stochastic processes use ∧ for minimum; however mathematical logic uses ∧
to mean logical conjunction or AND.