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D. N. Azarov
On the residual finiteness of a free product of two groups with amalgamated subgroups of finite index The necessary and sufficient condition for free product of two polycyclic groups with amalgamated subgroups of finite index to be residually finite group is obtained.
A. S. Belov
One method of proof of nonnegativity for all partial sums of trigonometrical series Basic theorems of new method of proof of nonnegativity for all partial sums of trigonometrical series with monotone coefficients are stated.
S. V. Kolesnikov
On the sets of divergence for Fourier series of bounded functions This article includes descriptional-metrical conditions on a subset E of [0,2\pi) sufficient to be the set of all points of divergence for Fourier series of a bounded function.
A. E. Kruchinin, S. I. Khashin
The image segmentation by the allocation of continuous borders The algorithm building borders on the image in the form of continuous lines that allows to construct some segmentation of the initial image at once is offered.
E. D. Loginova
On the residual finiteness of a commuted HNN-extension of group By analogy with construction of free product with commuting subgroups the construction of commuted HNN-extension is offered and a criterion of residual finiteness of resulting group is given.
D. I. Moldavanskii
On the conjugacy separability in the class of finite p-groups of certain one-relator groups It is known that group Gk = <a, b; a-1ba = bk>, where k is not equal to 0, is residually a finite p-group if and only if p divides the integer k-1. We prove here that if k is not equal to 1 or -1 then for any prime p group Gk is not conjugacy separable in the class of finite p-groups.
S. I. Khashin
The alternative form of Butcher equations The alternative form of Butcher equations for a finding of Runge-Kutta methods is offered. This form allows to pass to consideration of each such method as some algebraic object. Such approach should allow reduce essentially the sizes of system of the equations and presumes to find new, more effective Runge-Kutta methods. |
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