OpenMath Content Dictionary: interval_types

Canonical URL:
http://www.openmath.org/cd/interval_types.ocd
CD File:
interval_types.ocd
CD as XML Encoded OpenMath:
interval_types.omcd
Defines:
algebraicIntervalType, integerIntervalType, intervalType, rationalIntervalType, realIntervalType
Date:
2002-08-25
Version:
0 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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  Author: Bill Naylor

A CD of basic interval type constructors. This CD holds constructors of individual instances of the different types of intervals.


intervalType

Description:

This symbol represents the type of intervals.

Commented Mathematical property (CMP):
interval type has set type
Formal Mathematical property (FMP):
has ( intervalType , setType )
Signatures:
sts


[Next: integerIntervalType] [Last: realIntervalType] [Top]

integerIntervalType

Description:

This symbol represents the type of integer intervals.

Commented Mathematical property (CMP):
integer interval type has rational interval type
Formal Mathematical property (FMP):
has ( integerIntervalType , rationalIntervalType )
Commented Mathematical property (CMP):
integer interval type has discrete set type
Formal Mathematical property (FMP):
has ( integerIntervalType , discreteSetType )
Signatures:
sts


[Next: rationalIntervalType] [Previous: intervalType] [Top]

rationalIntervalType

Description:

This symbol represents the type of rational intervals.

Commented Mathematical property (CMP):
rational interval type has algebraic interval type
Formal Mathematical property (FMP):
has ( rationalIntervalType , algebraicIntervalType )
Commented Mathematical property (CMP):
rational interval type has continuous set type
Formal Mathematical property (FMP):
has ( rationalIntervalType , continuousSetType )
Signatures:
sts


[Next: algebraicIntervalType] [Previous: integerIntervalType] [Top]

algebraicIntervalType

Description:

This symbol represents the type of algebraic intervals.

Commented Mathematical property (CMP):
algebraic interval type has real interval type
Formal Mathematical property (FMP):
has ( algebraicIntervalType , realIntervalType )
Commented Mathematical property (CMP):
algebraic interval type has continuous set type
Formal Mathematical property (FMP):
has ( algebraicIntervalType , continuousSetType )
Signatures:
sts


[Next: realIntervalType] [Previous: rationalIntervalType] [Top]

realIntervalType

Description:

This symbol represents the type of real intervals.

Commented Mathematical property (CMP):
real interval type has interval type
Formal Mathematical property (FMP):
has ( realIntervalType , intervalType )
Commented Mathematical property (CMP):
real interval type has continuous set type
Formal Mathematical property (FMP):
has ( realIntervalType , continuousSetType )
Signatures:
sts


[First: intervalType] [Previous: algebraicIntervalType] [Top]
maybe we should also include some 'complex interval' symbols,
could have cartesian varieties, i.e. 'square', as well as polar
varieties, i.e. 'round'