• DocumentCode
    1425131
  • Title

    Polynomial discriminants. 2. Tensor diagrams

  • Author

    Blinn, James F.

  • Author_Institution
    Microsoft Corp., Redmond, WA, USA
  • Volume
    21
  • Issue
    1
  • fYear
    2001
  • Firstpage
    86
  • Lastpage
    92
  • Abstract
    Recently I´ve been playing with diagrammatic ways of doing algebra and have come up with a lot of interesting results. This article presents the first of these - using tensor diagrams to compute discriminants of polynomials and to solve a related problem: line-curve tangency. I believe that the Einstein index notation can help us think about these and similar problems and allow us to come up with solutions that we wouldn´t find any other way.
  • Keywords
    computational geometry; diagrams; polynomial matrices; tensors; Einstein index notation; algebra; diagrammatic notation; line-curve tangency; polynomial discriminants; tensor diagrams; Covariance matrix; Physics; Polynomials; Radio access networks; Symmetric matrices; Tensile stress;
  • fLanguage
    English
  • Journal_Title
    Computer Graphics and Applications, IEEE
  • Publisher
    ieee
  • ISSN
    0272-1716
  • Type

    jour

  • DOI
    10.1109/MCG.2001.895137
  • Filename
    895137
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1425131