The determination region of solubility of methanol with gasoline of high aromatic content was investigated experimentally at temperature of 288.2 K. A type 1 liquid-liquid phase diagram was obtained for this ternary system. These results were correlated simultaneously by the UNIQUAC model. The values of the interaction parameters between each pair of components in the system were obtained f...

The ultralow interfacial tension of the two-liquid phase of a ternary system 1-propanol–n-heptane–water was determined with a pendant drop method using the axisymmetric drop shape analysis (ADSA) methodology. Because the two liquid phases of the ternary system are practically miscible at temperatures near the critical solution temperature, the drops are small and difficult to distinguish from t...

Ternary system modeling involves extending the traditional set of binary values f0; 1gwith a third value X indicating an unknown or indeterminate condition. By making this extension, we can model a wider range of circuit phenomena. We can also efficiently verify sequential circuits in which the effect of a given operation depends on only a subset of the total system state. This paper presents a...

To investigate the effect of calcium salts on the thermodynamic and transport properties of aqueous solutions of proteins, we report ternary diffusion coefficients for the lysozyme-CaCl2-water ternary system at 25 degrees C and pH 4.5. We have used our ternary diffusion coefficients to calculate preferential-interaction coefficients as a function of salt concentration. This has allowed us to ch...

We generalize the result of the preceeding paper and solve the Yang–Baxter equation in terms of triple systems called orthogonal and symplectic ternary systems. In this way, we found several other new solutions. PAC: 03.65Fd. 02.90.+p

We prove that every algebraic number contains infinitely many occurrences of 7/3-powers in its binary expansion. Using the same approach, we also show that every algebraic number contains either infinitely many occurrences of squares or infinitely many occurrences of one of the blocks 010 or 02120 in its ternary expansion.

We consider domino tilings of three-dimensional cubiculated manifolds with or without boundary, including subsets of Euclidean space and threedimensional tori. In particular, we are interested in the connected components of the space of tilings of such regions under local moves. Building on the work of the third and fourth authors [19], we allow two possible local moves, the flip and trit. Thes...

We discuss important experimental considerations and high-throughput synchrotron-based techniques for structural characterization of binary and ternary composition-spread thin films. We apply these techniques to obtain detailed structural phase diagrams of CoMnGe ternary alloy system. # 2003 Elsevier B.V. All rights reserved. PACS: 61.10.Nz; 07.85.Qe; 68.55.Jk

In 2009, Shapiro posed the following question: “What is the asymptotic proportion of Dyck paths having an even number of hills?” In this paper, we answer Shapiro’s question, as well as a generalization of the question to ternary paths. We find that the probability that a randomly chosen ternary path has an even number of hills approaches 125/169 as the length of the path approaches infinity. Ou...