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Mathematica > Core Language > List Manipulation > Math & Counting Operations on Lists >

Max

Max[x₁, x₂, ...]
yields the numerically largest of the x_i.

Max[{x₁, x₂, ...}, {y₁, ...}, ...]
yields the largest element of any of the lists.

Maximum of two numbers:

Maximum of a list:

Maximum of two numbers:

Maximum of a list:

Max works with exact numeric quantities:

Max effectively flattens out all lists:

Basic symbolic simplification is done automatically:

Simplify a symbolic Max:

Integrate expressions involving Max:

Reduce inequalities involving Max:

Max works on sparse arrays:

Use in bounds of iterator variables:

Cumulative maxima:

Find the highest point of a plotted curve:

Mean of the length ratio of a randomly broken stick:

R-function-based solid modeling:

Use FullSimplify to simplify Max expressions:

Maximize a function containing Max:

Max can be differentiated:

Max flattens lists, rather than being Listable:

The one-argument form evaluates for any argument: