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D. N. Azarov, D. V. Turtin
Ivanovo logical-algebraic school
The article pays much attention to the formation and development
of the world-famous Ivanovo logical-algebraic school. The origin
of the logical-algebraic school is directly related to the outstanding
modern mathematician Academician A. I. Maltsev. The contribution
of A. I. Maltsev and his students to the development
of the school is indicated. The current state of the Ivanovo
algebraic school and its role in modern mathematical science are described.
Full text (Russian) (PDF, 278 Kb)
V. E. Goncharenko
Formation of numerical sequences similar to those of Syracuse
An expression is used to form numerical sequences of natural numbers
with an arbitrary value of the divisor, in which the Syracusan
sequences are a special case according to Collatz's hypothesis.
For a divisor equal to three, in the range of initial values
from one to 100 million, it is possible to generate sequences
similar to those of Syracuse if various methods of reduction
to divisibility are used. For a divisor value from 1000 to 1010,
and when the initial values are varied from one to 100 million,
in all cases these sequences end with the value of one, similar
to the Syracusan sequences. Such series are characterized by a slight
increase after reduction to divisibility and subsequent division.
It is concluded that it is possible to generate
an unlimited number of sequences similar to the Syracuse sequences.
Full text (Russian) (PDF, 346 Kb)
P. G. Kononenko
Algorithm for compensation of color distortions during printing
A computational algorithm is proposed to compensate for printing distortions
based on the idea of dividing the Euclidean space by Delaunay.
Full text (Russian) (PDF, 515 Kb)
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