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.
Author: OpenMath Consortium
SourceURL: https://github.com/OpenMath/CDs
This CD treats matrices and vectors in a row oriented fashion (using matrixrow's).
vectorThis symbol represents an n-ary function used to construct (or describe) vectors. Vectors in this CD are considered to be row vectors and must therefore be transposed to be considered as column vectors.
<OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd">
<OMA>
<OMS cd="linalg2" name="vector"/>
<OMI> 3 </OMI>
<OMI> 6 </OMI>
<OMI> 9 </OMI>
</OMA>
</OMOBJ>
<math xmlns="http://www.w3.org/1998/Math/MathML"> <apply><csymbol cd="linalg2">vector</csymbol> <cn type="integer">3</cn> <cn type="integer">6</cn> <cn type="integer">9</cn> </apply> </math>
This symbol is an n-ary constructor used to represent rows of matrices. Its arguments should be members of a ring.
<OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd">
<OMA>
<OMS cd="linalg2" name="matrixrow"/>
<OMI> 1 </OMI>
<OMI> 0 </OMI>
</OMA>
</OMOBJ>
<math xmlns="http://www.w3.org/1998/Math/MathML"> <apply><csymbol cd="linalg2">matrixrow</csymbol> <cn type="integer">1</cn> <cn type="integer">0</cn> </apply> </math>
This symbol is an n-ary matrix constructor which requires matrixrow's as arguments. It is used to represent matrices.
<OMOBJ xmlns="http://www.openmath.org/OpenMath" version="2.0" cdbase="http://www.openmath.org/cd">
<OMA>
<OMS cd="linalg2" name="matrix"/>
<OMA>
<OMS cd="linalg2" name="matrixrow"/>
<OMI> 1 </OMI>
<OMI> 0 </OMI>
</OMA>
<OMA>
<OMS cd="linalg2" name="matrixrow"/>
<OMI> 0 </OMI>
<OMI> 1 </OMI>
</OMA>
</OMA>
</OMOBJ>
<math xmlns="http://www.w3.org/1998/Math/MathML"> <apply><csymbol cd="linalg2">matrix</csymbol> <apply><csymbol cd="linalg2">matrixrow</csymbol> <cn type="integer">1</cn> <cn type="integer">0</cn> </apply> <apply><csymbol cd="linalg2">matrixrow</csymbol> <cn type="integer">0</cn> <cn type="integer">1</cn> </apply> </apply> </math>
linalg2.matrix(linalg2.matrixrow(1, 0), linalg2.matrixrow(0, 1))
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