We study the digits of powers 2 in ternary number system. propose an algorithm for doubling numbers numeral Using this algorithm, we explain appearance “stairs” formed by 0s and 2s when $2^n (n=0,1,2, \ldots)$ are written vertically so that example last forming one column, second another forth. use patterns leftmost digits, rightmost to prove sizes these blocks unbounded. also how regularity ch...

objective(s):investigation of phase diagram of various drug formulations is effective to predict different phase region of drugs to detect final formula. the purpose of this research was to develop the ternary phase diagrams for a drug microemulsion system consisting of cucurbita pepo (pumpkin) oil, surfactant (tween 80) and deionized water. materials and methods:an electrical conductivity was ...

Properties of ternary semigroups, groups and algebras are briefly reviewed. It is shown that there exist three types of ternary units. A ternary analog of deformation is shortly discussed. Ternary coalgebras are defined in the most general manner, their classification with respect to the property “to be derived” is made. Three types of coassociativity and three kinds of counits are given. Terna...