The associator is an alternating trilinear product for any alternative algebra. We study this trilinear product in three related algebras: the associator in a free alternative algebra, the associator in the Cayley algebra, and the ternary cross product on four-dimensional space. This last example is isomorphic to the ternary subalgebra of the Cayley algebra which is spanned by the non-quaternio...

T then it is proved that (1) ) ( ) ( ) ( 0 1 2 A N A N A N A    (2) N0(A) = A2, N1(A) is a semiprime ideal of T containing A, N2(A) = A4 are equivalent, where No(A) = The set of all A-potent elements in T, N1(A) = The largest ideal contained in No(A), N2(A) = The union of all A-potent ideals. If A is a semipseudo symmetric ideal of a ternary semigroup then it is proved that N0(A) = N1(A) = N...

We determine the cost of performing Shor’s algorithm for integer factorization on a ternary quantum computer, using two natural models of universal fault tolerant computing on ternary quantum systems: (i) a model based on magic state distillation that assumes the availability of the ternary Clifford gates, projective measurements, classical control and (ii) a model based on a metaplectic topolo...

Compared with the conventional electronic computer, the Ternary Optical Computer (TOC) is the better idea for next generation computing tools because it possesses numerous data bits, enough intercom bandwidth, and inter controller made of electronic computer, but when designing optical calculators in TOC, there is much randomness that bring the manufacture of the optical calculators on lots of ...

In the present work, ternary special quasirandom structures SQSs for a fcc solid solution phase are generated at different compositions, xA=xB=xC= 1 3 and xA= 1 2 , xB=xC= 1 4 , whose correlation functions are satisfactorily close to those of a random fcc solution. The generated SQSs are used to calculate the mixing enthalpy of the fcc phase in the Ca-Sr-Yb system. It is observed that first-pri...

It is known that any binary logic function (in binary logic) can be represented by at least one logic formula, however this is not always true for a ternary logic function (in ternary logic). A ternary logic function can be represented by at least one logic formula if and only if it satisfies a mathematical condition which is called regularity. Also, it is known that a fuzzy logic formula (in s...

The application of the subhalide reaction to Al refining has recently been a subject of increasing concern as a process to obtain pure Al from crude Al alloys. In this process, the ternary Al-Si-Fe alloy containing various amounts of Si and Fe which is produced(1)-(3) by the direct reduction of bauxite or alumina-bearing ores is used as the raw material. Therefore, on obtaining pure Al from Al-...

This paper deals with design and performance estimation of typical units blocks of a ternary DSP using SUS-LOC concepts. SUS-LOC enables the design of ternary logic cells and is based upon the use of enhanced and depleted MOS transistors. After the presentation of the basic concepts and of the transistor models required for SUS-LOC specific transistors, we show the design of ternary combinatori...

greenhouse and laboratory studies were conducted to examine the allelopathic effects of water extracts of pigweed (amaranthus retroflexu l.) leaf, stem, root and flower at different growth stages on canola seed germination and seedling growth. water extracts of leaf, stem, root and flower as individually, binary, ternary and quadri mixtures at 0, 50 and 100% concentrations were made and their e...

Formation of green coloured ternary complexes between palladium, chromeazurol S and cetyltrimethylammonium bromide or cetylpyridinium bromide is described over the pH range 4.6 to 5.6. The compositions, Pd(CAS)CTA2 and Pd(CAS)CP2 for the ternary complexes have been established by Job's method of continuous variations and by the mole ratio method using absorbance data. Strict control of experime...