On $\Delta (x,\,n)=\phi(x,\,n)$ $-x\phi(n)/n$

\Delta \Delta \Delta

On the delta distribution: Historical remarks, Visualization of delta sequences

In this paper we present the introduction of the notion delta distribution with special accent on its historical remarks and visualization, by using programme package GeoGebra and its dynamic properties.In order to make clear and understandable the properties of delta sequences we prepared 15 Figures, with the graphs of corresponding functions, mostly given in integral forms. The Figures are ex...

Characterization of $delta$-double derivations on rings and algebras

The main purpose of this article is to offer some characterizations of $delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose that there exist two additive mappings $d,delta:Rto R$ such that $$d(x^n) =Sigma^n_{j=1} x^{n-j}d(x)x^{j-1}+Si...

On Regular Generalized $delta$-closed Sets in Topological Spaces

In this paper a new class of sets called  regular generalized  $delta$-closed set (briefly rg$delta$-closed set)is introduced and its properties are studied. Several examples are provided to illustrate the behaviour of these new class of sets.

EQ-logics with delta connective

In this paper we continue development of formal theory of a special class offuzzy logics, called EQ-logics. Unlike fuzzy logics being extensions of theMTL-logic in which the basic connective is implication, the basic connective inEQ-logics is equivalence. Therefore, a new algebra of truth values calledEQ-algebra was developed. This is a lower semilattice with top element endowed with two binary...