AiryBiZero[k] represents the k\[Null]^th zero of the Airy function Bi(x).AiryBiZero[k, x_0] represents the k\[Null]^th zero less than x_0.

Mathematica's symbolic architecture immediately defines a serializable representation for any Mathematica data or program—which can then readily be stored in a file.

Building on its core symbolic architecture, Mathematica gives immediate access to the latest in industrial-strength Boolean computation. With highly general symbolic ...

Automatically selecting between hundreds of powerful and in many cases original algorithms, Mathematica provides both numerical and symbolic solving of differential equations ...

At the core of Mathematica is the foundational idea that everything —data, programs, formulas, graphics, documents—can be represented as symbolic expressions. And it is this ...

The ODEs that arise in practical applications often have non-rational coefficients. In such cases, DSolve attempts to convert the equation into one with rational coefficients ...

The execution of a Mathematica program involves the evaluation of a sequence of Mathematica expressions. In simple programs, the expressions to be evaluated may be separated ...

Beta[a, b] gives the Euler beta function \[CapitalBeta](a, b). Beta[z, a, b] gives the incomplete beta function \[CapitalBeta]_z (a, b).

Integrate[f, x] gives the indefinite integral \[Integral]f d x. Integrate[f, {x, x_min, x_max}] gives the definite integral \[Integral]_x_min^x_max\ f\ d x. Integrate[f, {x, ...

DeclarePackage["context`", {"name_1", "name_2", ...}] declares that Needs["context`"] should automatically be executed if a symbol with any of the specified names is ever ...