One of the most important features of Mathematica is that it is an extensible system. There is a certain amount of mathematical and other functionality that is built into ...

RuntimeAttributes is an option for Compile that specifies attributes for the compiled function it creates.

Introduction Library Structure and Life Cycle Interaction with Mathematica

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

PolynomialQ[expr, var] yields True if expr is a polynomial in var, and yields False otherwise. PolynomialQ[expr, {var_1, ...}] tests whether expr is a polynomial in the var_i.

Save["filename", symbol] appends definitions associated with the specified symbol to a file. Save["filename", " form"] appends definitions associated with all symbols whose ...

SquaresR[d, n] gives the number of ways r_d (n) to represent the integer n as a sum of d squares.

ProductLog[z] gives the principal solution for w in z == w e^w. ProductLog[k, z] gives the k\[Null]^th solution.

Building on its broad algorithmic and mathematical capabilities, Mathematica provides a unique level of highly general and efficient support for additive number theory.

$FrontEndInitializationFunction is a function that you can assign to execute when the front end link is first established by ConnectToFrontEnd[].