In the present work, under some di¤erentiability conditions on the potential functions , we …rst reduce the inverse scattering problem (ISP) for the polynomial pencil of the Scroedinger equation to the corresponding ISP for the generalized matrix Scrödinger equation . Then ISP will be solved in analogy of the Marchenko method. We aim to establish an e¤ective algorithm for uniquely reconstructin...

We study the CP dependence of neutrino oscillation probability for all channels in arbitrary matter profile within three generations. We show that an oscillation probability for νe → νμ can be written in the form P (νe → νμ) = Aeμ cos δ+Beμ sin δ+Ceμ without any approximation using the CP phase δ. This result holds not only in constant matter but also in arbitrary matter. Another probability fo...

In this paper, we aim to initiate the study of enumeration complexity in the field of dependence logics. Consequently, as a first step, we investigate the problem of enumerating all satisfying teams of a given propositional dependence logic formula without the split junction operator. We distinguish between restricting the team size by arbitrary functions and the parametrised version where the ...

In this paper we investigate the dependence in Fréchet spaces containing mutually exclusive risks. It is shown that, under some reasonable assumptions, the safest dependence structure, in the sense of the minimal stop-loss premiums for the aggregate claims involved, is obtained with the Fréchet lower bound and precisely corresponds to the mutually exclusive risks of the Fréchet space. In that r...

This paper concerns Laurent series solutions of algebraic ordinary differential equations (AODEs). We first present several approaches to compute formal power series solutions of a given AODE. Then we determine a bound for orders of its Laurent series solutions. Using the order bound, one can transform a given AODE into a new one whose Laurent series solutions are only formal power series. The ...

Several extensions of the family (bivariate) Eyraud-Farlie-Gumbel-Morgenstern copulas (EFGM copulas) are considered. Some them well-known from literature, others have recently been suggested (copulas based on quadratic constructions, some forms convexity, and polynomial copulas). For each these we analyze which properties EFGM preserved (or even improved) (partly) lost. Such can be structural (...

A voltage-dependent diffused resistor model has been developed using conventional voltage controlled current sources (VCCS’s) defined by a two-dimensional polynomial for simulations of mixed-signal circuits. The polynomial coefficients can be defined by a simple firstorder polynomial which can be a function of geometry and process variables to accurately reflect the manufacturing process. Alter...

this study took an epidemiological approach toward the problem of drug addiction in tehran. the subjects were 300 addicts chosen on the basis of stratified random selection out of the population of 3627 prisoners who were all proven addicts and sentenced to imprisonment by the court in the year 1370. a descriptive survey showed that drug addiction generally, and heroin addiction specifically, i...