Title :
Polynomial discriminants. 2. Tensor diagrams
Author_Institution :
Microsoft Corp., Redmond, WA, USA
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;
Journal_Title :
Computer Graphics and Applications, IEEE
DOI :
10.1109/MCG.2001.895137
