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 ...

Naming Conventions Generic and Nongeneric Cases Numerical Functions

Long used in its simplest form in mathematics, functional iteration is an elegant way to represent repeated operations. Mathematica's symbolic architecture makes powerful ...

The built-in functions in Mathematica operate in a wide variety of ways. But many of the mathematical functions share an important approach: they are set up so as to reduce ...

StringReplacePart["string", " snew", {m, n}] replaces the characters at positions m through n in " string" by " snew". StringReplacePart["string", " snew", {{m_1, n_1}, {m_2, ...

Introduced soon after ordinary hypergeometric functions, the q functions have long been studied as theoretical generalizations of hypergeometric and other functions. ...

Variables and functions are integral to Mathematica 's symbolic programming language. These "How tos" give step-by-step instructions for common tasks related to variables, ...

 

Spheroidal functions. The radial spheroidal functions SpheroidalS1[n,m, γ,z] and SpheroidalS2[n,m,γ,z] and angular spheroidal functions SpheroidalPS[n,m,γ,z] and ...

NumericFunction is an attribute that can be assigned to a symbol f to indicate that f[arg_1, arg_2, ...] should be considered a numeric quantity whenever all the arg_i are ...