Title :
A framework for the symbolic computation of HolorGraphic models
Author :
Baciu, George ; Sun, Hanqiu
Author_Institution :
Dept. of Comput. Sci., Hong Kong Univ. of Sci. & Technol., Kowloon, Hong Kong
Abstract :
The HolorGraphic modelling system (HGMS) is a general computational framework for the algebraic manipulation of complex mathematical models of both physical and non-physical systems. The lack of constraints on the operational algebra in HGMS provides both flexibility and expressive power for manipulating variables and functions. The underlying influence of the HolorGraphic framework is now being independently observed in seemingly unrelated fields of studies, from theoretical physics to the construction and analysis of curves and surfaces in computer aided geometric design. As it takes its own form above and beyond tensor theory, the HolorGraphic framework provides both a consistent mathematical basis of formulation as well as a visual understanding of the object of study. In this article, we illustrate the use of HGMS in the symbolic computation procedures using general holors and show the basic operations on these structures
Keywords :
graph theory; mathematics computing; symbol manipulation; tensors; HolorGraphic models; algebraic manipulation; graph theory; holor algebra; mathematical models; physical systems; symbolic computation; Algebra; Computational modeling; Computer science; Equations; Mathematical model; Physics computing; Polynomials; Power system modeling; Quaternions; Tensile stress;
Conference_Titel :
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-4778-1
DOI :
10.1109/ICSMC.1998.725129