OpenMath Content Dictionary: mathmltypes

Canonical URL:
http://www.openmath.org/cd/mathmltypes.ocd
CD Base:
http://www.openmath.org/cd
CD File:
mathmltypes.ocd
CD as XML Encoded OpenMath:
mathmltypes.omcd
Defines:
complex_cartesian_type, complex_polar_type, constant_type, fn_type, integer_type, list_type, matrix_type, rational_type, real_type, set_type, type, vector_type
Date:
2004-03-30
Version:
3 (Revision 1)
Review Date:
2006-03-30
Status:
official


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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

This CD holds symbols denoting various types of numbers, vectors and similar constructs. Principally these are required for compatibility with MathML.


type

Role:
semantic-attribution
Description:

A symbol to be used within an OpenMath attribute to specify the type of the object.

Example:
The variable z is attributed with a type for complex numbers, to be represented in polar notation.
z
Signatures:
sts


[Next: integer_type] [Last: fn_type] [Top]

integer_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of an integer.

Example:
The variable z is attributed with a type for integers.
z
Signatures:
sts


[Next: real_type] [Previous: type] [Top]

real_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of a real number.

Example:
The variable z is attributed with a type for real numbers.
z
Signatures:
sts


[Next: rational_type] [Previous: integer_type] [Top]

rational_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of a rational number.

Example:
The variable z is attributed with a type for rational numbers.
z
Signatures:
sts


[Next: complex_cartesian_type] [Previous: real_type] [Top]

complex_cartesian_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of a complex number specified in terms of its real and imaginary parts.

Example:
The variable z is attributed with a type for complex numbers represented in their Cartesian form.
z
Signatures:
sts


[Next: complex_polar_type] [Previous: rational_type] [Top]

complex_polar_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of a complex number specified in terms of its modulus and argument.

Example:
The variable z is attributed with a type for complex numbers represented in their polar form.
z
Signatures:
sts


[Next: constant_type] [Previous: complex_cartesian_type] [Top]

constant_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey a type for the common constants, pi ~= 3.1415, e ~= 2.718, i = square root of -1, gamma ~= .5772, NaN, infinity (all in the nums cd), true and false (in the logic cd). Also for MathML variables declared to have type constant, as in <ci type="constant">x</ci>.

Example:
The variable z is attributed with a type for constants.
z
Signatures:
sts


[Next: vector_type] [Previous: complex_polar_type] [Top]

vector_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type of a (column) vector, an n-tuple of entries.

Example:
The variable z is attributed with a type for vectors.
z
Signatures:
sts


[Next: list_type] [Previous: constant_type] [Top]

list_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type for a list.

Example:
The variable z is attributed with a type for lists.
z
Signatures:
sts


[Next: set_type] [Previous: vector_type] [Top]

set_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type for a set.

Example:
The variable z is attributed with a type for sets.
z
Signatures:
sts


[Next: matrix_type] [Previous: list_type] [Top]

matrix_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type for a matrix (n tuple of rows, where each row is an m tuple for some m, it should be noted that each row must be the same length).

Example:
The variable z is attributed with a type for matrices.
z
Signatures:
sts


[Next: fn_type] [Previous: set_type] [Top]

fn_type

Role:
constant
Description:

A symbol to be used as the argument of the type symbol to convey the type for a function name.

Example:
The variable f is attributed to say it represents a function.
f
Signatures:
sts


[First: type] [Previous: matrix_type] [Top]