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Mathematica > Mathematics and Algorithms > Mathematical Functions > Numerical Functions >

Built-in Mathematica Symbol

Min

Min[x₁, x₂, ...]
yields the numerically smallest of the x_i.

Min[{x₁, x₂, ...}, {y₁, ...}, ...]
yields the smallest element of any of the lists.

Minimum of two numbers:

Minimum of a list:

Minimum of two numbers:

Minimum of a list:

Min works with exact numeric quantities:

Min effectively flattens out all lists:

Basic symbolic simplification is done automatically:

Simplify a symbolic Min:

Integrate expressions involving Min:

Reduce inequalities involving Min:

Min works on sparse arrays:

Use in bounds of iterator variables:

Cumulative minima:

Find the lowest point of a plotted curve:

Mean of the length ratio of a randomly broken stick:

R-function based solid modeling:

Use FullSimplify to simplify Min expressions:

Minimize a function containing Min:

Min can be differentiated:

Min flattens lists, rather than being Listable:

One-argument form evaluates for any argument: