We define and study the ternary analogues of Clifford algebras. It is proved that the ternary Clifford algebra with N generators is isomorphic to the subalgebra of the elements of grade zero of the ternary Clifford algebra with N+1 generators. In the case N = 3 the ternary commutator of cubic matrices induced by the ternary commutator of the elements of grade zero is derived. We apply the terna...

: Quantum-dot cellular automata are an interesting nanoscale computing paradigm. The introduction of the ternary quantum-dot cell enabled ternary computing, and with the recent development of a ternary functionally complete set of elementary logic primitives and the ternary memorizing cell design of complex processing structures is becoming feasible. The specific nature of the ternary quantum-d...

This paper investigates the synthesis of quantum networks built to realize ternary switching circuits in the absence of ancilla bits. The results we established are twofold. The first shows that ternary Swap, ternary NOT and ternary Toffoli gates are universal for the realization of arbitrary n× n ternary quantum switching networks without ancilla bits. The second result proves that all n×n qua...

A machine learning method was developed, which predicts ionic conductivity based on chemical composition alone, aiming to develop an efficient search for lithium conductive oxides. Under the obtained guideline, material focused Li2O-SiO2-MoO3 pseudo-ternary phase diagram, is predicted have high (>10−4 S • cm−1). We investigated formation range, conductivity, and crystal structure of superionic ...

In this paper, we discuss the simultaneous existence, and relationships, between binary and ternary relationships in entity-relationship (ER) modeling. We define the various interpretations that can be applied to the simultaneous existence of ternary and binary relationships having the same participating entities. We have identified that only certain cardinalities are permitted to exist simulta...

Epoxy ternary systems were prepared from the diglycidylether of bisphenol-A (DGEBA), epoxidized castor oil (ECO), and nano-CaCO3 using a thermally latent initiator. The effects of ECO and the nano-CaCO3 contents on the thermal stability and mechanical interfacial properties of the prepared DGEBA/ECO/nano-CaCO3 ternary systems were examined by thermogravimetric analysis (TGA), Izod impact tests,...

An octonionic ternary gauge field theory is explicitly constructed based on a ternary-bracket defined earlier by Yamazaki. The ternary infinitesimal gauge transformations do obey the key closure relations [δ1, δ2] = δ3. An invariant action for the octonionic-valued gauge fields is displayed after solving the previous problems in formulating a non-associative octonionic ternary gauge field theory.

The first step towards near-rings was an axiomatic research done by Dickson in 1905. In 1936, it was Zassenhaus who used the name near-ring. Many parts of the well established theory of rings are transferred to near-rings and new specific features of near-rings have been discovered. To deal with the idea of near-rings using ternary product Warud Nakkhasen and Bundit Pibaljommee have applied the...

zno nanostructures of different methods and sizes were grown in a controlled manner using a simple hydrothermal and sonochemical technique. controlling the content of concentration and temperature of the reaction mixture, spherical nanoparticles zno structures could be synthesized at temperatures 100-150 °c with excellent reproducibility in solvothermal and at different power and time in sonoch...