A Mathematica Formulation of Geometric Algebra in 3-Space.

Abstract

This report, in conjunction with its multivector analysis package, provides a brief introduction to the ideas and features of the 8-dimensional geometric algebra G(3) defined on 3-space, a code for performing geometric algebra analysis, examples of the operation of the code, and applications of geometric algebra to the solution of multivector equations and to rotation operations in 3-space. (AN)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1995
Accession Number
ADA295512

Entities

People

  • Lawrence V. Meisel

Organizations

  • United States Army Armament Research, Development and Engineering Center

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Commutators
  • Complex Numbers
  • Engineering
  • Equations
  • Exponential Functions
  • Information Operations
  • Information Security
  • Military Research
  • Numbers
  • Power Series
  • Reflection
  • Rotation
  • Security
  • Simultaneous Equations
  • Standards
  • Vector Analysis

Fields of Study

  • Mathematics

Readers

  • Database Systems and Applications
  • Maritime Combat Support and Expeditionary Logistics.
  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space