Evaluate numerically:

Evaluate to high precision:

The precision of the output tracks the precision of the input:

Evaluate efficiently at high precision:

The minimum of all elements of a matrix:

The minima of all rows:

The minima of all columns:

For Interval objects, Min gives the minimum element in all intervals:

For CenteredInterval objects, Min[Δ₁,Δ₂] gives an interval containing Min[a₁,a₂] for any a_i∈Δ_i:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix Min function using MatrixFunction:

Values of Min at fixed points:

Values at infinity:

Evaluate symbolically:

Solve equations and inequalities:

Find a value of x for which Min[{Sin[x],Cos[x]}]1/2:

Plot the Min of several functions:

Plot Min in three dimensions:

Plot Min of three functions in three dimensions:

Min is only defined for real-valued inputs:

The range of Min is all real numbers:

Min effectively flattens out all lists:

Basic symbolic simplification is done automatically:

Additional simplification can be done using Simplify:

Multi-argument Min is generally not an analytic function:

It will have singularities where the arguments cross, but it will be continuous:

Min can have any monotonicity depending on its arguments:

is not surjective:

Min can have any sign depending on its arguments:

First derivative with respect to x:

Higher derivatives with respect to x:

Formula for the derivative with respect to x:

Compute the indefinite integral using Integrate:

Verify the anti-derivative:

Definite integrals: