Power series are in many ways the algebraic analog of limited-precision numbers. Mathematica can generate series approximations to virtually any combination of built-in ...

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 ...

Mathematica's symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations—supporting ...

The general solution to this equation is found by separation of variables. Even when variables can be separated, the final solution might be accompanied by a warning message ...

E is the exponential constant E (base of natural logarithms), with numerical value \[TildeEqual] 2.71828.

InverseGudermannian[z] gives the inverse Gudermannian function gd -1 (z).

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.