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Mathematica > Core Language > Defining Variables and Functions > Attributes >

Built-in Mathematica Symbol

Constant

Constant
is an attribute which indicates zero derivative of a symbol with respect to all parameters.

Functions f[...] are taken to have zero total derivative if f has attribute Constant.

is a mathematical constant representing a number:

is not explicitly a number:

is numeric and evaluates to a number with N:

Define f to be a constant function for total derivatives computed with Dt:

is a mathematical constant representing a number:

is not explicitly a number:

is numeric and evaluates to a number with N:

Define f to be a constant function for total derivatives computed with Dt:

The built-in system mathematical constants:

They are all NumericQ:

They all represent exact values that can be evaluated to numbers of any precision with N:

Define f locally to be a constant function:

This does not affect subsequent computations with Dt:

Using the Constants option in Dt is similar, but has completely unambiguous output: