Differential Calculus of Zeon Functions
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Analogous to real functions, zeon functions are defined as zeon-valued functions of a zeon variable. In this paper, formal criteria for continuity and differentiability of zeon functions are put on a rigorous footing and the “usual” differentiation rules are formally established. As special cases, zeon extensions of real functions and zeon functions of one real variable are considered.
KeywordsZeons Clifford algebras Calculus
Mathematics Subject Classification15A66 81R05
- 2.Haake, E., Staples, G.S.: Zeros of zeon polynomials and the zeon quadratic formula. Adv. Appl. Cliff. Algebras 29, 21 (2019)Google Scholar
- 9.Staples, G.S.: CliffMath: Clifford algebra computations in Mathematica, 2008–2018. http://www.siue.edu/~sstaple/index_files/research.htm. Accessed 6 Feb 2019