It is known that any self-dual Boolean function can be decomposed into compositions of 3-bit majority functions. In this paper, we define a notion of a ternary majority formula, which is a ternary tree composed of nodes labeled by 3-bit majority functions and leaves labeled by literals. We study their complexity in terms of formula size. In particular, we prove upper and lower bounds for ternar...

Density, viscosity and refractive index of pure, binary and ternary mixtures of diethanolamine (DEA) and methyl diethanolamine (MDEA) with water have been measured at different temperatures from 288.15 K to 323.15 K at atmospheric pressure. Also, this study presents the effects of mixture composition and temperature upon these thermo- physical properties. To measure the density and refractive i...

Much progress has been made in the power and energy scaling of mid-infrared lasers based on transition metal ions, such as Cr2 + , Co2 Fe2 zinc cadmium chalcogenides. Still, exploration physics these devices is incomplete. In this work, we analyze absorption spectra collected from ions several binary, ternary, quaternary host crystals at temperatures a few degrees Kelvin to room temperature. We...

We present PLTplot, a plotting package for PLT Scheme. PLTplot provides a basic interface for producing common types of plots such as line and vector field plots from Scheme functions and data, an advanced interface for producing customized plot types, and support for standard curve fitting. It incorporates renderer constructors, transformers from data to its graphical representation, as values...

in this work an analytical equation of state has been employed to calculate the pvt properties ofternary refrigerant mixtures. the theoretical eos is that of ihm, song and mason, which is based onstatistical-mechanical perturbation theory, and the two constants are enthalpy of vaporization δhvapand molar density ρnb, both at the normal boiling temperature. the following three temperaturedepende...

In this paper, we prove Hyers-Ulam-Rassias stability of $C^*$-ternary algebra homomorphism for the following generalized Cauchy-Jensen equation $$eta mu fleft(frac{x+y}{eta}+zright) = f(mu x) + f(mu y) +eta f(mu z)$$ for all $mu in mathbb{S}:= { lambda in mathbb{C} : |lambda | =1}$ and for any fixed positive integer $eta geq 2$ on $C^*$-ternary algebras by using fixed poind alternat...

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...

Galois Field Sum of Products (GFSOP) leads to efficient multi-valued reversible circuit synthesis using quantum gates. In this paper, we propose a new generalization of ternary Toffoli gate and another new generalized reversible ternary gate with discussion of their quantum realizations. Algorithms for synthesizing ternary GFSOP using quantum cascades of these gates are proposed. In both the sy...