OpenMath Content Dictionary: arith2

Canonical URL:
http://www.openmath.org/cd/arith2.ocd
CD Base:
http://www.openmath.org/cd
CD File:
arith2.ocd
CD as XML Encoded OpenMath:
arith2.omcd
Defines:
inverse, times
Date:
2004-03-30
Version:
2 (Revision 1)
Review Date:
2017-12-31
Status:
experimental


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

Further to the basic arithmetic functions, we define some more common arithmetic operations. This includes a commutative times which exhibits the use of inheritance within the CD's.


times

Role:
application
Description:

The symbol representing an n-ary multiplication function inheriting from the times in arith1, but with the extra property that here it must be commutative.

Commented Mathematical property (CMP):
for all a,b | a * b = b * a
Formal Mathematical property (FMP):
a , b . a b = b a
Signatures:
sts


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inverse

Role:
application
Description:

A unary operator which represents the inverse of an element of a set. This symbol could be used to represent additive or multiplicative inverses.

Commented Mathematical property (CMP):
inverse(inverse(a))=a
Formal Mathematical property (FMP):
a . a -1 -1 = a
Signatures:
sts


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