in this article, we discuss measure theoretic characterizations for weighted composition operators in some operator classes on $l^{2}(sigma)$ such as, $n$-power normal, $n$-power quasi-normal, $k$-quasi-paranormal and quasi-class$a$. then we show that weighted composition operators can separate these classes.

It is well-known that Independence Friendly (IF) logic is equivalent to existential second-order logic (Σ 1) and, therefore, is not closed under classical negation. The boolean closure of IF sentences, called Extended IF-logic, on the other hand, corresponds to a proper fragment of ∆2. In this paper we consider IF-logic extended with Hodges’ flattening operator, which allows classical negation ...

Oscillations in a power system can be categorized into free oscillations and forced oscillations. Many algorithms have been developed to estimate the modes of free oscillations in a power system. Recently, forced oscillations caught many attentions. Techniques are proposed to detect forced oscillations and locate their sources. In addition, forced oscillations may have negative impact on the es...

In this paper, we introduce a new skewed distribution of which normal and power normal distributions are two special cases. This distribution is obtained by taking geometric maximum of independent identically distributed power normal random variables. We call this distribution as the power normal--geometric distribution. Some mathematical properties of the new distribution are presented. Maximu...

input frequency is one of the important variables in design and performance analysis of single-sided linear induction motors (slims). changing the frequency changes both the dimension of the slim in design process and the performance of the designed motor. the frequency influences the induced eddy currents in the secondary sheet as well as saturation level of the secondary back-iron. in this pa...