Radix form in hyperbolic and dual numbers
Sayed Kossentini
TL;DR
This paper explores number systems for hyperbolic and dual numbers, identifying canonical radix forms using Banach lattice algebra structures to facilitate their representation.
Contribution
It characterizes all canonical number systems for hyperbolic and dual numbers, introducing a method based on Banach lattice algebra structures.
Findings
Identified all canonical radix forms for hyperbolic and dual numbers.
Developed a method to obtain suitable bases using Banach lattice algebra.
Provided a comprehensive framework for representing these number systems.
Abstract
We investigate number systems for the ring of integers of hyperbolic and dual numbers. We characterize all canonical number systems providing radix form for hyperbolic and dual numbers. Our approach allows us to get suitable bases by means of Banach lattice algebra structure.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Mathematical and Theoretical Analysis · Computability, Logic, AI Algorithms