Functions that are specified by simple algebraic formulas tend to be such that when their input is changed only slightly, their output also changes only slightly. But ...

ButtonFunction is an option for the low-level function ButtonBox that specifies the function to execute when the button is active and is clicked.

GeneratingFunction[expr, n, x] gives the generating function in x for the sequence whose n\[Null]^th series coefficient is given by the expression ...

Functions for manipulating trigonometric expressions. This expands out a trigonometric expression. This factors the expression.

NormFunction is an option for functions such as FindFit and NDSolve which gives a function to be minimized in generating results.

Transformation rules in Mathematica let you set local values for symbols, functions, and all other types of expressions. Using rules provides a powerful and extensible method ...

x += dx adds dx to x and returns the new value of x.

ToRules[eqns] takes logical combinations of equations, in the form generated by Roots and Reduce, and converts them to lists of rules, of the form produced by Solve.

BooleanFunction[k, n] represents the k\[Null]^th Boolean function in n variables.BooleanFunction[values] represents the Boolean function corresponding to the specified vector ...

The MathLink library contains an extensive collection of C functions that allow arbitrary data and structure to be exchanged with Mathematica, and provide detailed control of ...