Evaluate numerically:

Complex number inputs:

Single-argument Floor always returns an exact result:

The two-argument form tracks the precision of the second argument:

Evaluate efficiently at high precision:

Floor can deal with real‐valued intervals:

Compute average-case statistical intervals using Around:

Compute the elementwise values of an array using automatic threading:

Or compute the matrix Floor function using MatrixFunction:

Values of Floor at fixed points:

Value at zero:

Value at Infinity:

Evaluate symbolically:

Manipulate Floor symbolically:

Find a value of x for which the :

Plot the Floor function:

Visualize the two-argument form:

Plot Floor in three dimensions:

Visualize Floor in the complex plane:

Floor is defined for all real and complex inputs:

Floor can produce infinitely large and small results:

Floor is not an analytic function:

It has both singularities and discontinuities:

Floor is nondecreasing:

Floor is not injective:

Floor is not surjective:

Floor is neither non-negative nor non-positive:

Floor is neither convex nor concave:

TraditionalForm formatting:

First derivative with respect to x:

First derivative with respect to a:

Definite integrals of Floor:

Series expansion: