TraditionalForm Reference Information

(RefLink[TraditionalForm, paclet:ref/TraditionalForm]) differs from (RefLink[StandardForm, paclet:ref/StandardForm]), the default format for input and output. It is important to understand that (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) expressions cannot always be provided as unambiguous input to the Wolfram System. Therefore, while (RefLink[StandardForm, paclet:ref/StandardForm]) is an input format and an output format, (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) is primarily intended as an output format.

In general, the (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representation of a mathematical function differs from its (RefLink[StandardForm, paclet:ref/StandardForm]) representation in two ways: function arguments are enclosed in parentheses rather than square brackets, and one-character variable and function names are set in italics rather than plain text.

In addition to these general differences, (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) transforms a large group of expressions into their conventionally used mathematical notation. A table listing these expressions and their special (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representations appears later in this tutorial.

This displays a mathematical function that does not have a special notation; the input is in (RefLink[StandardForm, paclet:ref/StandardForm]) and the output is in (RefLink[TraditionalForm, paclet:ref/TraditionalForm]):

MathieuC[a,q,z]//TraditionalForm

Here is an example of a function that has its own special (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) notation:

Binomial[n,m]//TraditionalForm

The (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representation of matrices is shown here:

{{11,12,13},{21,22,23}}//TraditionalForm

The (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representations of the Wolfram System functions and commands distinct from conventional mathematics use square brackets, as in (RefLink[StandardForm, paclet:ref/StandardForm]).

Here is the (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representation of the Wolfram System function (RefLink[Plot, paclet:ref/Plot]):

HoldForm[Plot[ArcSin[x],{x,0,.99}]]//TraditionalForm

The following tables list the expressions that have their own specific (RefLink[TraditionalForm, paclet:ref/TraditionalForm]) representations. Entries marked with a star (⋆) contain hidden information (using (RefLink[TagBox, paclet:ref/TagBox]) or (RefLink[InterpretationBox, paclet:ref/InterpretationBox]) constructs or specially designed characters) and may not be suitable for unambiguous input.

Mathematical Constants and Domains

Mathematical constants and domains.

Numerical Functions

Numerical functions.

Elementary Functions

Elementary functions.

Factorial-Related Functions

Factorial-related functions.

Combinatorial Functions

Combinatorial functions.

Number Theory

Number theory.

Zeta-Related Functions

Zeta-related functions.

Hypergeometric-Related Functions

Hypergeometric-related functions.

Orthogonal Polynomials

Orthogonal polynomials.

Inverse Functions

Inverse functions.

Elliptic Integrals

Elliptic integrals.

Elliptic Functions

Elliptic functions.

Mathieu Functions

Mathieu functions.

Generalized and Related Functions

Generalized and related functions.

Matrix Operations

Matrix operations.

Logical Operations

Logical operations.

Calculus

Calculus.

Discrete Calculus

Discrete calculus.

Polynomial Functions

Polynomial functions.

q Functions

Q functions.

Complete Alphabetical Listing

Complete alphabetical listing.