The Making of a Geometric Algebra Package in Matlab

نویسندگان

  • Stephen Mann
  • Leo Dorst
  • Tim Bouma
چکیده

In this paper, we describe our development of GABLE, a Matlab implementation of the Geometric Algebra based on C̀ p,q (where p+ q = 3) and intended for tutorial purposes. Of particular note are the matrix representation of geometric objects, effective algorithms for this geometry (inversion, meet and join), and issues in efficiency and numerics.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

CGAlgebra: a Mathematica package for conformal geometric algebra

A tutorial of the Mathematica1 package CGAlgebra, for conformal geometric algebra calculations is presented. Using rule-based programming, the 5-dimensional conformal geometric algebra is implemented and defined functions simplify the calculations of geometric, outer and inner products, as well as many other calculations related with geometric transformations. CGAlgebra is available from https:...

متن کامل

Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra

In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized spectral radius. Some of these are in scalar matrices, but  some are different. For example for a bounded set of scalar matrices,$Sigma$, $r_*...

متن کامل

Effectiveness of the Self-determination Educational Package on Self-directed Learning and Decision-making Styles among High School Students

Introduction: The purpose of this study was to develop a self-determination educational package and determine its effectiveness on Self-Directed Learning and Decision making Styles of high school students. Methods: The research method was semi-experimental with pre-test, post-test with the control group and follow up. At first, self-determination educational package was compiled using library s...

متن کامل

Modelling and Performance Evaluation of DES - A Max-Plus Algebra Toolbox for Matlab

This paper discusses the usefulness of (max, +) algebra as a mathematical modelling framework for discrete event systems (DESs). A Max-Plus Algebra Toolbox developed at Lehrstuhl für Systemtheorie technischer Prozesse is presented. This software package is a set of functions to take advantage of the (max, +) algebra in the Matlab environment for rapid prototyping, design, and analysis of DESs. ...

متن کامل

A representation for some groups, a geometric approach

‎In the present paper‎, ‎we are going to use geometric and topological concepts‎, ‎entities and properties of the‎ ‎integral curves of linear vector fields‎, ‎and the theory of differential equations‎, ‎to establish a representation for some groups on $R^{n} (ngeq 1)$‎. ‎Among other things‎, ‎we investigate the surjectivity and faithfulness of the representation‎. At the end‎, ‎we give some app...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2000