This paper proposes an optical method to perform a balanced ternary vector-matrix multiplication. Inspired by ternary optical computer‘s ability to process ternary information, we study techniques to realize ternary vector-matrix multiplication (VMM) based on the work of manipulating binary VMM computation. The principle and specific working flow is described in detail and the correctness of th...

In this paper, we use the Walsh Hadamard transform (WHT) as a fundamental tool for analysis of some properties of generalized ternary functions. Some existing binary results obtained for cryptographic functions are generalized to the ternary case, and hence obtain some new characterization of ternary functions based on their spectral analysis. The WHT of ternary functions is expressed in terms ...

In this paper, we introduce the concept of (α, β)-fuzzy ideals in ternary semigroups, which is a generalization of fuzzy ideals in ternary semigroups. We investigate the related properties of ternary semigroups. The lower and upper parts of fuzzy subsets of a ternary semigroup are defined. Characterizations of regular ternary semigroups by the properties of the lower part of (∈,∈∨q)-fuzzy left ...

We introduce a new implementation of a ternary adder with four inputs and two outputs. This ternary adder reduces the number of digits in a multiplication compared with a binary multiplication. One advantage of the ternary adder is that four instead of three inputs within a binary representation will be summed up. In this paper we will compare the complexity of binary against ternary multiplier...

This paper describes the architecture, design & implementation of 2 bit ternary ALU (T-ALU) slice. The proposed ALU is designed for two-bit operation & can be used for n bit operations by cascading n/2 ALU slices. This ALU is implemented using C-MOS ternary logic gates (T-Gates) for ternary arithmetic & logic circuits. Ternary gates are implemented using enhancement / depletion MOSFET technolog...

In this paper, modifying the construction of a C∗-ternary algebra from a given C∗-algebra, we define a proper CQ∗-ternary algebra from a given proper CQ∗-algebra. We investigate homomorphisms in proper CQ∗-ternary algebras and derivations on proper CQ∗-ternary algebras associated with the Cauchy functional inequality ‖f(x) + f(y) + f(z)‖ ≤ ‖f(x+ y + z)‖. We moreover prove the Hyers-Ulam stabili...

In this paper, we introduced the concepts of roughness and fuzziness in ordered ternary semigroups. We proved that the lower and upper approximation of an ordered ternary subsemigroup (resp. left ideal, right ideal, lateral ideal, bi-ideal, interior ideal) in an ordered ternary semigroup is an ordered ternary subsemigroup (resp. left ideal, right ideal, lateral ideal, bi-ideal, interior ideal)....

objective: the aim of this research is to determine the relationship between spiritual quotient parameters including understanding, life origin, and spiritual life and marital satisfaction of couples in bandar abbas city. methods: it is descriptive correlational study. 150 couples referred to consultancy centers of bandar abbas city were selected by accessible sampling method. we utilized spiri...

Type theory (with dependent types) was introduced by Per Martin-Löf with the intention of providing a foundation for constructive mathematics. A part of constructive mathematics is type theory itself, hence we should be able to say what type theory is using the formal language of type theory. In addition, metatheoretic properties of type theory such as normalisation should be provable in type t...

We comment on the conformal boundary states of the c=1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational rad...