Algebraic Number Fields (Mathematica Tutorial)

Mathematica provides representation of algebraic numbers as Root objects. A Root object contains the minimal polynomial of the algebraic number and the root number—an integer ...

Some Notes on Internal Implementation (Mathematica Tutorial)

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

Geometric Transforms (Mathematica Guide)

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

Sec (Built-in Mathematica Symbol)

Sec[z] gives the secant of z.

FresnelS (Built-in Mathematica Symbol)

FresnelS[z] gives the Fresnel integral S(z).

TreeGraph (Built-in Mathematica Symbol)

TreeGraph[{v_1, v_2, ...}, {u_1, u_2, ...}] yields a tree where u_i is the predecessor of v_i.TreeGraph[{e_1, e_2, ...}] yields a tree with edges e_j.TreeGraph[{v_1, v_2, ...

Basic Modeling (Mathematica Guide)

Mathematica provides a very convenient and natural way to create and manipulate continuous- and discrete-time models of scalar and multivariable systems using data objects. ...

FresnelC (Built-in Mathematica Symbol)

FresnelC[z] gives the Fresnel integral C(z).

Degree (Built-in Mathematica Symbol)

Degree gives the number of radians in one degree. It has a numerical value of \[Pi]/180.

PolynomialQ (Built-in Mathematica Symbol)

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.