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A Mathematica Formulation of Geometric Algebra in 3-Space.

L. V. Meisel

Abstract

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)

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Key concepts: Algebra over a field, Geometric algebra, Mathematics, Space (punctuation), Pure mathematics, Computer science, Filtered algebra, Operating system