Parallel to the concept of quasi-separate continuity, we define a notion for quasi-oscillation of a mapping f : X × Y → R. We also introduce a topological game on X to approximate the oscillation of f . It follows that under suitable conditions, every quasi-separately continuous mapping f : X×Y → R has the Namioka property. An illuminating example is also given.

In this paper, the expression of Weierstrass operators as differential operators on polynomials is used for the construction of associated quasi-interpolants. Then the convergence properties of these operators are studied. AMS Classification: 41A35.

Local Lyapunov exponents of the quasi-geostrophic ocean dynamics.

We examine properties of binary relations that complement quasi-transitivity and Suzumura consistency in the sense that they, together with the original axiom(s), are equivalent to transitivity. In general, the conjunction of quasi-transitivity and Suzumura consistency is strictly weaker than transitivity but in the case of collective choice rules that satisfy further properties, the conjunctio...

It is known that commutative BCK-algebras form a variety, but BCK-algebras do not [4]. Therefore H. Yutani introduced the notion of quasicommutative BCK-algebras. In this article we first present the notion and general theory of quasi-commutative BCI-algebras. Then we discuss the reduction of the type of quasi-commutative BCK-algebras and some special classes of quasicommutative BCI-algebras.

A Boolean function is symmetric if it is invariant under all permutations of its arguments; it is quasi-symmetric if it is symmetric with respect to the arguments on which it actually depends. We present a test that accepts every quasi-symmetric function and, except with an error probability at most δ > 0, rejects every function that differs from every quasi-symmetric function on at least a fra...

In this paper we employ the periodic unfolding method for simulating the electromagnetic field in a composite material exhibiting heterogeneous microstructures which are described by spatially periodic parameters. We consider cell problems to calculate the effective parameters for a Debye dielectric medium in the cases of circular and square microstructures in two dimensions. We assume that the...

We give the class of finite groups which arise as the permutation groups of cyclic codes over finite fields. Furthermore, we extend the results of Brand and Huffman et al. and we find the properties of the set of permutations by which two cyclic codes of length p can be equivalent. We also find the set of permutations by which two quasi-cyclic codes can be equivalent.

In this paper we present a description of quasi-cyclic codes which relies on matrices and gives an efficient algorithm for their construction.