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In this paper we analyze the role of pollution for industry location and residence choice. We present a new economic geography (NEG) model in which manufacturing generates local pollution (that does not accumulate) and uses two types of labour input: unskilled workers that cannot migrate and work where they live; and high-skilled entrepreneurs that choose where to produce and where to live. Taking on board costless commuting or, in alternative, distance working, entrepreneurs can live in a different location from production. Both types of households enjoy utility from consuming all commodities (locally and imported variants) and suffer from local pollution. The resulting model is of the footloose entrepreneur variant, but involves two dynamic equations: the standard one governing the residential choice of entrepreneurs, and another one governing where production is located. The current paper analyses the discrete time dynamic process defined by a two-dimensional piecewise smooth map. Depending on parameters this map can have possibly coexisting attractors of various types (fixed points, cycles, closed curves as well as chaotic attractors). We analytically obtain stability conditions for the fixed points. Using numerical methods we describe also some global dynamic properties of the considered map. Finally, we propose an economic interpretation of the results concerning local stability analysis and global dynamics. [ABSTRACT FROM AUTHOR]

Different classification methods for 1D signals using the normalization, including normalization in terms of level and in terms of step and the normal transformation, have been proposed. Normal filtering is a variant of special matched filtering. The application of normalization in terms of level and normal transformation for 2D signals was also considered. The filter formation and classification algorithms for the considered variants were presented. An algorithm for direct formation of the matrix operator of normal transformation for 1D signal was described. Case studies were used to illustrate the application of above methods. The possibility of a variable scale of input signals was also taken into account. [ABSTRACT FROM AUTHOR]

Algorithms of enhancing the speed of Tikhonov regularization algorithm for the conductivity zones method have been proposed; these algorithms make it possible to organize an iterative procedure with logarithmic step and evaluate the result of such iterative procedure through a single inversion of the matrix generated from the matrices of derivatives of phantom contour-edge voltages with respect to the surface conductivities of zones. [ABSTRACT FROM AUTHOR]

Conductivity zones method is suggested that allows reconstructing the image of electrical impedance tomography with essentially lower computation expenses. Results of reconstruction performed by regularizing the matrix of contour-edge voltage derivatives with respect to zones' surface conductivities. [ABSTRACT FROM AUTHOR]

An abstract for the article "Online Chemical Modeling Environment (OCHEM): Web Platform for Data Storage, Model Development and Publishing of Chemical Information," by I. Sushko, A.K. Pandey, S. Novotarskyi, W. Teetz, S. Brandmaier, A. Abdelaziz, V.V. Prokopenko and colleagues is presented.