Isomorphism in Ternary Mathematics

What is it about?

Given research is an attempt to establish a connection between various groups of numbers The author aims to justify the statement: is true as an example of the so-called "Ternary Groups" Definition of " Ternary" very much depends on vector properties and it's components Keywords: Three Component Vector ,Bayesian Decomposition ,Matrix of Rotation 1 Introduction Let's first write the definition of a three component vector : It is a vector the components of which are orthonormal and is written as The indice x,y,z are commonly referred to as i,j,k units along x,y,z axis The question is whether such reference is correct As an example we use most commonly used dot and cross product often referred to as scalar and vector multiplication The outcomes of these two products result in different classes of number presentations i.e., a scalar and a vector respectively Having said that we want to establish a link between numeric values and their vector representation

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Why is it important?

Interestingly enough we could apply our knowledge of Ternary into the field of Statistics: if we relate dependentor independent events to the three main literals used in Ternary Logic to independent or evendependent events in Bayesian formula