What is it about?
The research presented in the following application aims to prove use of Ternary Maths for calculating machines and to simplify the process of calculating In it we will try to justify the use of triplets and describe how it works.
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Why is it important?
An earlier research presented in “Logical Principles in Ternary Mathematics” [1,2,3] shows that we can transit from one expression of a number such as a "component form" to another, e.g a decimal, or still another, that is it’s vector form [4]. The aim of our further research is to explain why we associate Triplets of numbers in such choice {-1,0,1} and not the numbers 1,2,3 for example, or a set {1,2,3} The explanation seems obvious as a set of decimal numbers consists of 10 entries not 3 At the same time we have to prove that the mentioned set of triplets is a unique and the only one to be used as a Ternary Set or a base, as we might call it, for our calculating machines.
Perspectives
Our system stands for a digital representation of a signal, such as for example, a sine with its upper lower and medium levels corresponding to numbers -1 and 1, whereas a medium entry corresponds to a 0 We all know that the signal is coded and decoded in a digital form, thus Ternary approach to analyzing the signal data seems to be the most plausible
Mr. Ruslan Pozinkevych
Eastern European University
Read the Original
This page is a summary of: Ternary Mathematics Principles Truth Tables and Logical Operators 3 D Placement of Logical Elements Extensions of Boolean Algebra, Asian Journal of Research in Computer Science, December 2020, Sciencedomain International,
DOI: 10.9734/ajrcos/2020/v6i430166.
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