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Ternary
System Elements
The
number of binary operators in the ternary system is 19,683 operators. Based
on general degeneracy theory, these operators are the descendants of 139
elements. AOP is an algebra that is centered on element#22 and its 216 descendants.
Elements#22, displayed in its R-code, is the MIN operator which is the
core element for AOP, Post algebra, and other logic-related algebras. The
ternary Prioritors presented by AOP are the six descendants out of the
216. Element#138 is the core of our ordinary algebra. It has 12 descendants
two of which are the addition and subtraction operators. See elements table in ternary system elements tables
The
importance of the other elements is still under investigation. Currently,
I am concentrating on the elements of the quaternary system. However, if
you are studying 2-variable ternary multi-valued functions, which I call
operators, and you see that one of these elements is in the domain of your
study, then you should know that all the theorems that you established will
operate on all of its descendants which their number is listed under the
"descendants" column.
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