• 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