Solvability of Equations in Clifford Algebras

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Solvability of Equations in Clifford Algebras

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Rysavy, Martin

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2016-10

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Thesis or Dissertation

Abstract

In this paper, we are studying selected types of quadratic equations in Clifford algebra, using methods developed for solving analogous equations in quaternions. Our goal is to classify the solutions in order to build a solid foundation for the study of Minkowski Pythagorean hodograph curves.

Keywords

Clifford algebras

Minkowski 3-space

MPH curves

PH curves

Quaternions

Description

University of Minnesota M.S. thesis. October 2016. Major: Applied and Computational Mathematics. Advisor: Joseph Gallian. 1 computer file (PDF); vii, 71 pages.

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Rysavy, Martin. (2016). Solvability of Equations in Clifford Algebras. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/191227.

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