OpenMath Content Dictionary: piece1

Canonical URL:
http://www.openmath.org/cd/piece1.ocd
CD Base:
http://www.openmath.org/cd
CD File:
piece1.ocd
CD as XML Encoded OpenMath:
piece1.omcd
Defines:
otherwise, piece, piecewise
Date:
2004-03-30
Version:
2 (Revision 1)
Review Date:
2006-03-30
Status:
official


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          both this document and the derived work are Content Dictionaries
          then the derived work must include a different CDName element,
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  Author: OpenMath Consortium
  SourceURL: https://github.com/OpenMath/CDs
            

This CD is intended to be compatible with the corresponding elements in Content MathML 2.

In this CD we give a set of operators for piece-wise defined expressions.


piecewise

Role:
application
Description:

This operator heads an expression that is being defined piecewise. Its arguments are n objects built with the piece constructor, optionally followed by one built with otherwise constructor.

Example:
| x | = { - x x < 0 0 x = 0 x otherwise
Signatures:
sts


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piece

Role:
application
Description:

This introduces an individual component of a piecewise definition. It has precisely two arguments: the first is the value, and the second is a Boolean (meant to be a predicate) which is true if and only if this piece is to provide the value of the piecewise construct.

Example:
| x | = { - x x < 0 0 x = 0 x otherwise
Signatures:
sts


[Next: otherwise] [Previous: piecewise] [Top]

otherwise

Role:
application
Description:

This symbol introduces the 'default' value of a piecewise construct. If none of the previous piece constructs can provide the value, this will. It has a single child, the value.

Example:
| x | = { - x x < 0 0 x = 0 x otherwise
Signatures:
sts


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