We consider the Schrödinger operator in the plane with δ-potential supported by a curve Γ. For the cases of an infinite curve and a finite loop we give estimates on the lower bound of the spectrum expressed explicitly through the strength of the interaction and a parameter c(Γ) which characterizes geometry of the curve Γ. Going further we cut the curve into finite number of pieces Γi and estima...

We compute the mixed correlation function in a way which involves only the orthogonal polynomials with degrees close to n, (in some sense like the Christoffel Darboux theorem for non-mixed correlation functions). We also derive new representations for the differential systems satisfied by the biorthogonal polynomials, and we find new formulae for the spectral curve. In particular we prove the c...

15 16 This paper addresses feasibility issues in the calculation of fluxes of suspended particulate matter 17 (SPM) from degraded-quality data for flow discharge (Q) and sediment concentration (C) under the 18 additional constraints of infrequent and irregular sediment concentration samplings. A crucial setting 19 of the scope involves establishing the number of data required to counterbalance ...

The objective of this research was to examine whether the Holmes-Rahe Social Readjustment Rating Scale, a life event scale, can be used to identify suicide attempters. The Holmes-Rahe Social Readjustment Rating Scale's ability to identify suicide attempters was tested in 1183 subjects (478 suicide attempters, 197 psychiatric inpatients, and 508 healthy controls) using the Fisher Linear Discrimi...

The consultative papers for the Basel II Accord require rating systems to provide a ranking of obligors in the sense that the rating categories indicate the creditworthiness in terms of default probabilities. As a consequence, the default probabilities ought to present a monotonous function of the ordered rating categories. This requirement appears quite intuitive. In this paper, however, we sh...

Using a Ginzburg–Landau–Devonshire type model, the pyroelectric property and hysteresis loop are studied for a composite ferroelectric thin film that contains an insertion of a different type of ferroelectric material in parallel connection with the host ferroelectric film material. If these two types of ferroelectric materials are polarized along the same direction, there are two peaks occur i...

In this study, an interleaved soft switching Boost Converter is used to track the maximum power point of PV array and full bridge inverter is used to stabilize the dc bus voltage. In this method, an interleaved technique is adopted to reduce the current rating of each device. Switching losses are reduced by adapting a zero voltage transition which increases the efficiency of the system. The exp...

The moduli space of G-bundles on an elliptic curve with additional flag structure admits a Poisson structure. The bivector can be defined using double loop group, loop group and sheaf cohomology constructions. We investigate the links between these methods and for the case SL2 perform explicit computations, describing the bracket and its leaves in detail.

This paper deals with the simulation of closed loop and open loop controlled Interleaved Boost Converter (ILBC). It is seen that, for higher power applications, more modules can be paralleled to increase the power rating and the dynamic performance. One of the challenge in designing a boost converter for high power application is how to handle the high current at the input side. In this paper a...