The Kuratowski and Ryll-Nardzewski selection theorem is a classical of measure theory that gives sufficient condition for multifunction to have measurable selection. aim this paper show some generalizations result.

Abstract  In his paper a new current-controlled conveyor (CCCII) in CMOS technology is presented. It features, low supply voltage (±0.7), low power consumption, low circuit complexity, rail to rail operation and wide range parasitic resistance ( ). The circuit has been successfully employed in a multifunction biquad filter. Simulation results by HSPICE show high performance of the circuit and c...

A new type of thesaurus for word processing is proposed. It comprises 7 semantic and 8 syntagmatic types of links between Russian words and collocations. The original version now includes ca. 76,000 basic dictionary entries, 660,000 semantic and 292,000 syntagmatic links, English interface, and communication with any text editor. Methods of delivery enriching are used based on generic and synon...

In this paper, we establish some new characterizations of the metric regularity of implicit multifunctions in complete metric spaces by using the lower semicontinuous envelopes of the distance functions for set-valued mappings. Through these new characterizations it is possible to investigate implicit multifunction theorems based on coderivatives and on contingent derivatives as well as the per...

The paper presents a current tunable multifunction filter using current conveyor. The proposed circuit can be realized as on chip tunable low pass, high pass, band pass and elliptical notch filter. The circuit employs two current conveyors, one OTA, four resistors and two grounded capacitors, ideal for integration. It has only one output terminal and the number of input terminals may be used. F...

We study expansive invertible onesided cellular automata (i.e., expansive automorphisms of onesided full shifts) and find severe dynamical and arithmetic constraints which provide partial answers to questions raised by M. Nasu [N2]. We employ the images and bilateral dimension groups, measure multipliers, and constructive combinatorial characterizations for two classes of cellular automata.

In this paper, we show that if a transitive set Λ is C-stably expansive, then Λ admits a dominated splitting.

Real world applications are dealing now with a huge amount of data, especially in the area high dimensional features. In this article, we depict simply*upper, simply*lower continuous, get several characteristics and other properties respect to upper lower simply*-continuous soft multi-functions. We also investigate relationship between soft-continuous, simply*continuous multifunction. implement...