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The Tasks of Interactive Processing of Search Queries in the Set Theory Formalization

In the paper description in the set theory of main mechanisms of query processing is fullfiled. Focusing and widening of fullnes are described as query processing. The methods are used in the project of Intelligent Search Engine. Newness of the approach consists that there is the first systematization of interactive methods of word sense disambiguation in man-machine complex «user-search engine». Engineer realization of the methods was done in SQL.

Statement Formulating and Solution of the Problem of Blood Dynamics in Arterial Systems, Using the One-Dimensional Theory

The equations of the one-dimensional theory of dynamics of a blood-groove in arterial systems of large blood vessels are formulated most. Analytic solution of the formulated system of equation and some variants of edge and contact conditions are proposed.

Well-posedness of the Dirichlet problem in a cylindrical domain for multidimensional elliptic-parabolic equation

A unique solvability of classic solutions to Dirichlet's problem in the cylindrical domain for the model multidimensional elliptic-parabolic equation is shown in the article