Building content dictionaries for geometric algebra in OMDoc format
Kuo-pao Yang, Wendy Zhang, Frederick E. Petry · 2009
This paper describes why and how to build Content Dictionaries for Geometric Algebra implemented in OMDoc format, an XML-based markup language. Geometric Algebra is a powerful and general language available for the development of mathematical physics. Mathematical Markup Language (MathML) enables one to write XML-based language to display mathematical formulae on web browsers and OpenMath makes the text semantics available by creating a series of Content Dictionaries, but no markup languages have been previously created for Geometric Algebra to interpret semantics of documentations. Open Mathematical Documentation (OMDoc) extends OpenMath by providing more features such as axiom, theorem, and proof structures. The working Content Dictionary implemented in OMDoc format for Geometric Algebra has been established. It is able to be transformed and then displayed in the Firefox web browser for instance. This research will lead to the study and design of many more various scientific fields interested in accessibilities and capabilities through the internet.