Orthogonal Polynomials (Mathematica Tutorial)

Orthogonal polynomials. Legendre polynomials LegendreP[n,x] arise in studies of systems with three-dimensional spherical symmetry. They satisfy the differential equation ...

Special Functions (Mathematica Tutorial)

Mathematica includes all the common special functions of mathematical physics found in standard handbooks. Each of the various classes of functions is discussed in turn. One ...

Graph Construction and Representations (Combinatorica Package Guide)

\[FormalA] (Mathematica Character Name)

Unicode: F800. Alias: Esc $a Esc. Letter-like form. Used to represent a formal parameter that will never be assigned a value.

Characteristic (Finite Fields Package Symbol)

Characteristic[f] gives the characteristic of the field f.

Special Characters (Mathematica Guide)

Mathematica not only has systemwide support for arbitrary Unicode characters, but also includes nearly a thousand carefully designed characters for mathematical notation and ...

Annotating & Combining Graphics (Mathematica Guide)

In Mathematica's unified symbolic framework, graphics are treated just like any other expression—to be displayed, arranged, annotated, or manipulated using any of ...

Number Theory (Mathematica Guide)

Packing a large number of sophisticated algorithms—many recent and original—into a powerful collection of functions, Mathematica draws on almost every major result in number ...

Specifying Derivatives (Mathematica Tutorial)

The function FindRoot has a Jacobian option; the functions FindMinimum, FindMaximum, and FindFit have a Gradient option; and the "Newton" method has a method option Hessian. ...

Labeling Three-Dimensional Graphics (Mathematica Tutorial)

Mathematica provides various options for labeling three-dimensional graphics. Some of these options are directly analogous to those for two-dimensional graphics, discussed in ...