Integer and Number Theoretic Functions (Mathematica Tutorial)

Some integer functions. The remainder on dividing 17 by 3. The integer part of 17/3.

Work with Spline Functions (Mathematica How To)

Mathematica 's powerful spline functionality includes both numeric and symbolic support. Built-in basis polynomials and efficient spline construction provide a way to ...

Mathieu and Related Functions (Mathematica Tutorial)

Mathieu and related functions. The Mathieu functions MathieuC[a,q,z] and MathieuS[a,q,z] are solutions to the equation y^′′+[a-2qcos(2z)]y0. This equation appears in many ...

ExpIntegralE (Built-in Mathematica Symbol)

ExpIntegralE[n, z] gives the exponential integral function E_n (z).

Rational Functions (Mathematica Guide)

Mathematica can efficiently handle both univariate and multivariate rational functions, with built-in functions immediately implementing standard algebraic transformations.

Approximate Functions and Interpolation (Mathematica Tutorial)

In many kinds of numerical computations, it is convenient to introduce approximate functions. Approximate functions can be thought of as generalizations of ordinary ...

Function Approximations Package (Function Approximations Package Guide)

Generalized Functions and Related ... (Mathematica Tutorial)

In many practical situations it is convenient to consider limits in which a fixed amount of something is concentrated into an infinitesimal region. Ordinary mathematical ...

Applying Functions to Lists (Mathematica Guide)

Many computations are conveniently specified in terms of applying functions in parallel to many elements in a list. Mathematica provides a suite of elegant functional ...

Functions That Do Not Have Unique Values (Mathematica Tutorial)

When you ask for the square root s of a number a, you are effectively asking for the solution to the equation s^2a. This equation, however, in general has two different ...