Perfect ternary arrays are closely related to difference sets and group invariant weighing matrices. A previous paper by one of the authors demonstrated strong restrictions on difference sets with parameters (120, 35, 10). A perfect ternary array with energy 25 and order 60 – PTA(60,25) – would obey an equation analogous to the difference set equation for (120, 35, 10). A perfect ternary array ...

The potential function of Lippincott and Schroeder for linear hydrogen bond has been re-examined and extended to nonlinear hydrogen bond. The parameters originally introduced to the potential function by Lippincott and Schroeder have been determined from the structural parameters such as 0.. .Odistance 0-H bond distance, H.. .O distance and HOO angle. Thevalidity of harmonic oscillator appr...

In this paper, one of the numerical solution method of one- particle, one dimensional timeindependentSchrodinger equation are presented that allows one to obtain accurate bound state eigenvalues and functions for an arbitrary potential energy function V(x).For each case, we draw eigen functions versus the related reduced variable for the correspondingenergies. The paper ended with a comparison ...

Control of sedimentation in reservoirs of dams is considered to be one of the most important issues in exploitation of dams and increasing their useful life. Reservoirs act as traps for sediments and prevent transport of sediments to the river. The deposited sediments will decrease the capacity of the reservoirs so that they cannot be in use any more. Various methods are discussed in this study...

The ternary alkali selenophosphates KPSe6 and RbPSe6 crystallize in the polar orthorhombic space group Pca2(1) with a = 11.7764(17) A, b = 6.8580(10) A, c = 11.4596(16) A, and Z = 4 for RbPSe6. CsPSe6 crystallizes in the monoclinic space group P2/n with a = 6.877(3) A, b = 12.713(4) A, c = 11.242(4) A, beta = 92.735(7) degrees, and Z = 4. All compounds feature the one-dimensional infinite chain...

A simple method for maintaining balance in ternary search tries is presented. The new kind of self-balancing ternary search trie, called an r-trie, generalizes the balancing strategy of Aragon and Seidel’s randomized binary search trees (treaps). This means that an r-trie is shaped like a ternary search trie built by inserting the strings in random order. As a result, the time cost of searching...

We prove that, building upon the universal-existential orthogonality-based axiom system for metric planes presented in [28], one can provide universal-existential axiom systems – expressed solely in terms of the ternary predicate I, with I(abc) standing for ‘ab is congruent to ac’, which Pieri has introduced 100 years ago – for metric planes, for absolute geometry with the circle axiom, for Euc...

A ternary hybrid structure of one-dimensional (1D) silver nanowire-doped reduced graphene oxide (RGO) integrated with a CdS nanowire (NW) network has been fabricated via a simple electrostatic self-assembly method followed by a hydrothermal reduction process. The electrical conductivity of RGO can be significantly enhanced by opening up new conduction channels by bridging the high resistance gr...

The n-dimensional ternary Hamming space is Tn, where T = f0; 1; 2g. Three points in Tn form a line if they have in common excactly n 1 components. A subset of Tn is closed if, whenever it contains two points of a line, it contains also the third one. A generator is a set, whose closure is Tn. In this paper, we investigate several properties of closed sets and generators. Two alternative proofs ...