Mathematica represents vectors as lists, and never needs to distinguish between row and column cases. Vectors in Mathematica can always mix numbers and arbitrary symbolic or ...

The introduction of Mathematica 6 in 2007 represented a revolutionary redefinition of Mathematica. Arriving only 18 months after Mathematica 6, Mathematica 7 represents ...

Extension is an option for various polynomial and algebraic functions that specifies generators for the algebraic number field to be used.

Infinity or \[Infinity] is a symbol that represents a positive infinite quantity.

Converting power series to normal expressions. Power series in Mathematica are represented in a special internal form, which keeps track of such attributes as their expansion ...

"How to" Topics Numbers Algebraic Calculations

An integration rule computes an estimate of an integral over a region, typically using a weighted sum. In the context of NIntegrate usage, an integration rule object provides ...

Many real-world applications require the solution of IVPs and BVPs for nonlinear ODEs. For example, consider the logistic equation, which occurs in population dynamics. This ...

ComplexityFunction is an option for Simplify and other functions which gives a function to rank the complexity of different forms of an expression.

Series[f, {x, x_0, n}] generates a power series expansion for f about the point x = x_0 to order (x - x_0) n. Series[f, {x, x_0, n_x}, {y, y_0, n_y}, ...] successively finds ...