OpenMath Content Dictionary: aggregate_cats

Canonical URL:
http://www.openmath.org/cd/aggregate_cats.ocd
CD File:
aggregate_cats.ocd
CD as XML Encoded OpenMath:
aggregate_cats.omcd
Defines:
aggregateType, continuousSetType, discreteSetType, finiteSetType, infiniteSetType, multisetType, non_continuousSetType, piecewiseContinuousSetType, setType
Date:
2002-08-25
Version:
0 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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     holder permits you to develop any derived work from this document
     provided that the following conditions are met.
       a) The derived work acknowledges the fact that it is derived from
          this document, and maintains a prominent reference in the 
          work to the original source.
       b) The fact that the derived work is not the original OpenMath 
          document is stated prominently in the derived work.  Moreover if
          both this document and the derived work are Content Dictionaries
          then the derived work must include a different CDName element,
          chosen so that it cannot be confused with any works adopted by
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          Dictionary Group whose name is, for example, `math' containing
          Content Dictionaries named `math1', `math2' etc., then you should 
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          However you are free to name it `private_mathN' or some such.  This
          is because the names `mathN' may be used by the OpenMath Society
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       c) The derived work is distributed under terms that allow the
          compilation of derived works, but keep paragraphs a) and b)
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  Author: Bill Naylor

A CD of basic aggregate category constructors. This CD holds constructors of individual instances of the categories, with defining properties of the categories.


aggregateType

Description:

This symbol represents a generic type for aggregates (or collections of objects.

Signatures:
sts


[Next: multisetType] [Last: discreteSetType] [Top]

multisetType

Description:

This symbol represents the type of multisets.

Commented Mathematical property (CMP):
multisetType is an aggregate type
Formal Mathematical property (FMP):
has ( multisetType , aggregateType )
Signatures:
sts


[Next: setType] [Previous: aggregateType] [Top]

setType

Description:

This symbol represents the type of sets.

Commented Mathematical property (CMP):
setType is an aggregate type
Formal Mathematical property (FMP):
has ( setType , aggregateType )
Signatures:
sts


[Next: finiteSetType] [Previous: multisetType] [Top]

finiteSetType

Description:

This symbol represents the type of finite sets.

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


[Next: infiniteSetType] [Previous: setType] [Top]

infiniteSetType

Description:

This symbol represents the type of infinite sets.

Commented Mathematical property (CMP):
infinite set type has set type
Formal Mathematical property (FMP):
has ( infiniteSetType , setType )
Commented Mathematical property (CMP):
infinite set type does not have finite set type
Signatures:
sts


[Next: continuousSetType] [Previous: finiteSetType] [Top]

continuousSetType

Description:

This symbol represents the type of continuous sets.

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


[Next: piecewiseContinuousSetType] [Previous: infiniteSetType] [Top]

piecewiseContinuousSetType

Description:

This symbol represents the type of piecewise continuous sets.

Commented Mathematical property (CMP):
piecewise continuous set type has set type
Formal Mathematical property (FMP):
has ( piecewiseContinuousSetType , setType )
Signatures:
sts


[Next: non_continuousSetType] [Previous: continuousSetType] [Top]

non_continuousSetType

Description:

This symbol represents the type of non-continuous sets.

Commented Mathematical property (CMP):
non-continuous set type has set type
Formal Mathematical property (FMP):
has ( non_continuousSetType , setType )
Commented Mathematical property (CMP):
non-continuous set type does not have continuous set type
Formal Mathematical property (FMP):
¬ has ( non_continuousSetType , continuousSetType )
Signatures:
sts


[Next: discreteSetType] [Previous: piecewiseContinuousSetType] [Top]

discreteSetType

Description:

This symbol represents the type of discrete sets.

Commented Mathematical property (CMP):
discrete set type has set type
Formal Mathematical property (FMP):
has ( discreteSetType , setType )
Commented Mathematical property (CMP):
discrete set type does not have continuous set type or piecewise continuous set type
Formal Mathematical property (FMP):
¬ has ( discreteSetType , continuousSetType )
Signatures:
sts


[First: aggregateType] [Previous: non_continuousSetType] [Top]