Mathematica provides powerful functions for constructing lists of any size and structure.

Structural Operations on Polynomials Finding the Structure of a Polynomial Polynomial Orderings

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 ...

A variety of moments or combinations of moments are used to summarize a distribution or data. Mean is used to indicate a center location, variance and standard deviation are ...

Mathematica's descriptive statistics functions operate both on explicit data and on symbolic representations of statistical distributions. When operating on explicit data, ...

Algebraic is now available as the newly added built-in Mathematica kernel function AlgebraicNumber. ToCommonField and ToNumberFieldElement are now available as the newly ...

General issues about the internal implementation of Mathematica are discussed in "The Internals of Mathematica". Given here are brief notes on particular features. These ...

NumberFieldIntegralBasis[a] gives an integral basis for the field \[DoubleStruckCapitalQ][a] generated by the algebraic number a.

Product[f, {i, i_max}] evaluates the product \[Product]i = 1 i_max f. Product[f, {i, i_min, i_max}] starts with i = i_min. Product[f, {i, i_min, i_max, di}] uses steps di. ...

Mathematica's graphics language is carefully designed to make it easy to control—both manually and programmatically—the detailed appearance and labeling of graphics, while ...