DocumentCode
2177443
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
Volume
3
fYear
1998
fDate
11-14 Oct 1998
Firstpage
3049
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Systems, Man, and Cybernetics, 1998. 1998 IEEE International Conference on
Conference_Location
San Diego, CA
ISSN
1062-922X
Print_ISBN
0-7803-4778-1
Type
conf
DOI
10.1109/ICSMC.1998.725129
Filename
725129
Link To Document