In this paper, a trust region method for generalized semi-infinite programming problems is presented. The method is based on [O. Yi-gui, “A filter trust region method for solving semi-infinite programming problems”, J. Appl. Math. Comput. 29, 311 (2009)]. We transformed the method from standard to generalized semi-infinite programming problems. The semismooth reformulation of the Karush–Kuhn–Tu...

In this paper arithmetic transformations for increased maximal sample rate of bit-parallel lattice wave digital filters implemented with carry-save arithmetic are proposed. The purpose is to increase the throughput in order to allow a reduction of the power consumption through supply voltage scaling. A lattice wave digital filter can be composed of firstand secondorder allpass sections which ar...

In this paper, we introduce implicative quasi-semi-lattices as a generalization of semi-lattices. We give the definition and present related properties an quasi-semi-lattice. Moreover, show that there exists isomorphism between lattice filters quasi-semi-lattice filter congruences on

This paper deals with controlling of a semi-batch nonlinear reactor used for chromium sludge regeneration process. The aim is to process the largest amount of chromium filter cake (chromium sludge) in the shortest possible time. The reactor has to be cooled because of strongly exothermic process. For safety reasons the temperature should not exceed 100 °C. In this study the reactor is controlle...

We analyze several “strong meager” properties for filters on the natural numbers between the classical Baire property and a filter being Fσ . Two such properties have been studied by Talagrand and a few more combinatorial ones are investigated. In particular, we define the notion of a P+-filter, a generalization of the traditional concept of P-filter, and prove the existence of a non-meager P+-...

Turetzkii [Uchenye Zapiski, Vypusk 1 (149) (1959), 31–55, (English translation in East J. Approx. 11 (2005) 337–359)] considered quadrature rules of interpolatory type with simple nodes, with maximal trigonometric degree of exactness. For that purpose Turetzkii made use of orthogonal trigonometric polynomials of semi–integer degree. Ghizzeti and Ossicini [Quadrature Formulae, Academie-Verlag, B...

Commonly used analog-to-digital converters sample signals uniformly. The sampling rate is determined by maximal frequency in signal spectrum. In the general case the spectral content of the majority of signals encountered in our everyday life changes over time. The main idea behind level-crossing sampling is to take advantage of the characteristics of the input signal in order to minimize activ...

The design and analysis of nearly-orthogonal symmetric wavelet filter banks has been studied. Methods for analyzing the correlation of the nearly-orthogonal filter banks are proposed. The basic idea is to impose multiple zeros at the aliasing frequency to a symmetric filter, minimize the deviation of the filter satisfying the orthogonal condition, and a nearly orthogonal filter bank can be obta...

We show that the semi-simplicity conjecture for finitely generated fields follows from conjunction of finite and maximal abelian extension field rational numbers.