We propose a new method to improve the accuracy of Text Categorization using twodimensional clustering. In a number of previous probabilistic approaches, texts in the same category are implicitly assumed to be generated from an identical distribution. We empirically show that this assumption is not accurate, and propose a new framework based on twodimensional clustering to alleviate this proble...

In the paper an explicit algorithm for the problem of twodimensional spline interpolation on a rectangular grid is proposed. MSC2000: 41A05, 41A15, 65D05, 65D07.

The transmutation operator method is extended to the case of functions two variables. flattens function, i.e. replaces a function with discontinuous partial derivatives on coordinate axes by continuously differentiable function. work reveal properties operator, and prove commutativity Laplace operator. It was found that Cauchy problem for equation internal conjugations in an unbounded domain ca...

2014 The role of the defects in twodimensional layered structures is analysed. It is shown that the melting of these structures at large amplitudes can be understood within a soliton picture. J. Physique LETTRES 42 (1981) L-361 L-364 Classification Physics Abstracts 05.70L 64.60 47.20 1 er AOUT 1981, Many instabilities lead to twodimensional layered dissipative structures [1] such as for instan...

Objective. The article proposes a method for finite element analysis of pipe-concrete columns in physically nonlinear setting by reducing three-dimensional problem to twodimensional one based on the hypothesis plane sections. Method. equations theory plasticity concrete G.A. Geniev are used. technique was tested comparing solution with calculation LIRA-SAPR software package, as well experimenta...