The enthalpies of mixing of the liquid mixtures of (NaB0 2 ) 2 + B 2 0 3 , N a 4 P 2 0 7 + (NaP0 3 ) 2 , (NaP0 3 ) 2 + B 2 0 3 and N a 4 P 2 0 7 + (NaB0 2 ) 2 have been measured by liquid -(liquid calorimetry. The results are discussed in terms of tentative structural models of the melts, and in terms of O 2 ion transfers from phosphorus groups to boron groups in (NaP0 3 ) 2 + B 2 0 3 and from ...

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-...

The application of COS/MOS integrated circuits in the construction of a three-valued positional control system is presented. A unit-distance ternary code and the design of a ternary encoder are given. A ternary code converter able to translate this unit-distance code to the signed ternary code is described. A ternary threshold level detector is required to convert a noisy, slowly-changing, anal...

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...

In this chapter we consider a monotone binary system with ternary components. “Ternary” or (“trinary”) means that each component can be in one of three states: up, middle (mid) and down. It turns out that for this system exists a combinatorial invariant by means of which it is possible to count the number C(r; x) of system failure sets with a given number of r components in up, x components in ...

The purpose of this reaserch is to measure the phase equilibrium data of the ternary system (water + phosphoric acid + 1-nonanol) at different temperatures. Experimental solubility curves and tie-line points for the system were obtained at T = 298.2, 308.2 and 318.2 K and ambient pressure. The binodal curve data were detected by the cloud point method. The mass fractions of each layer ...

In this paper, the optimality of ternary arithmetic is investigated under strict mathematical formulation. The arithmetic systems are presented in generic form, as the means to encode numeric values, and the choice of radix is asserted as the main parameter to assess the efficiency of the representation, in terms of information compactness and estimated implementation cost in hardware. Using pr...

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...

Abstract T emory designs with replication numbers all or all but one of the values in the range 1\(V-1J/(K-l} to 1\(V-l)/(K-2) are studied. It is known that for K=3 and replication numbers all values in the range 1\{V-l) /(K-l J to 1\(V-l }/(K-2J, designs exist if and only if 1\=2. Here we show the uniqueness of such designs. When K=3 and all values in the range 1\(V-l J/(K-l) to 1\(V-l )/(K-2)...