This document is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. The copyright holder grants you permission to redistribute this document freely as a verbatim copy. Furthermore, the copyright 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 the OpenMath Society. In particular, if there is a Content Dictionary Group whose name is, for example, `math' containing Content Dictionaries named `math1', `math2' etc., then you should not name a derived Content Dictionary `mathN' where N is an integer. 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 for future extensions. c) The derived work is distributed under terms that allow the compilation of derived works, but keep paragraphs a) and b) intact. The simplest way to do this is to distribute the derived work under the OpenMath license, but this is not a requirement. If you have questions about this license please contact the OpenMath society at http://www.openmath.org. piece1 http://www.openmath.org/cd http://www.openmath.org/cd/piece1.ocd 2006-03-30 2004-03-30 2 0 official 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 application 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. 0 0 0 piece application 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. 0 0 0 otherwise application 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. 0 0 0