A ternary semigroup is a nonempty set together with a ternary multiplication which is associative. Any semigroup can be reduced to a ternary semigroup but a ternary semigroup does not necessarily reduce to a semigroup. The notion of fuzzy sets was introduced by Zadeh in 1965 and that of rough sets by Pawlak in 1982. Applications of the fuzzy set theory and rough set theory have been found in va...

A balanced ternary design of order v with block size three, index 2 and P2 = 1 is a collection of multi-subsets of size 3 (of type { x, y, z} or {x, x, y }) called blocks, in which each unordered pair of distinct elements occurs twice possibly in one block and in which each element is repeated in just one block. So there are precisely v blocks of type {x, x, y}. Necessarily v == 0 (mod 3). We d...

Generalized pseudostandard words were introduced by de Luca and De Luca in 2006 [7]. In comparison to the palindromic and pseudopalindromic closure, only little is known about the generalized pseudopalindromic closure and the associated generalized pseudostandard words. In this paper we provide a necessary and sufficient condition for their periodicity over binary and ternary alphabet. More pre...

the analytical theory of one dimensional, dispersion free miscible displacement of oil by injection gas with nc component has shown that: the mmp is the lowest pressure at which any one of the initial oil, injection gas or crossover key tie lines becomes critical, which means that its length approaches to zero. in this paper, we propose a method for a solving multi component system based on ana...

We consider an original ternary number system called the ternary mirror-symmetrical number system in the article. It is a synthesis of the classical ternary symmetrical number system and the number system with an irrational base called Bergman’s number system. The main engineering result is a development of an original matrix and pipeline ternary mirror-symmetrical adder, which can be used for ...

We demonstrate a procedure for designing CMOS ternary circuits based on a discussion of threshold comparison, transmission, and union Qperations. Using some basic CMOS ternary circuits, we design CMOS ternary flip-flops (tri-flops) such as ternary latch and various master/slave triflops. These tri-flops have two additional binary inverse outputs with a fixed threshold. As examples of sequential...

We enumerate all ternary length-` square-free words, which are words avoiding squares of words up to length `, for ` ≤ 24. We analyse the singular behaviour of the corresponding generating functions. This leads to new upper entropy bounds for ternary square-free words. We then consider ternary square-free words with fixed letter densities, thereby proving exponential growth for certain ensemble...

in order to preparing strontium ion selective electrode 6-(4- nitropheny1)-2-pheny14, 4- dipropy1-3, 5-diaza-bicyclo [3, 1, 0] hex-2-ene (npdbh) was used as an ionophore. this electrode responds to sr (ii)ion with a sensitivity of 28.2 ± 0.5 mv/decade over the range 1.0 x 10-6 to 1.0 mat ph 3.0-10.0. thelimit of detection was 2.4 x 10-7 m. the influences of membrane composition, the ph of the t...

Compared to binary self-dual codes, few methods are known to construct ternary self-dual codes. In this paper, a construction method for ternary self-dual codes is presented. Using this method, a number of new extremal ternary self-dual codes are obtained from weighing matrices. In addition, a classification is given for extremal ternary self-dual codes of length 40 constructed from Hadamard ma...