последовательность

Classification and Recognition of Structures of Genetic Sequences

Authors: Tverdokhlebov V. A., Kariakin D. A.

For solving problems of determining the relationships between the properties of organisms and the properties of the corresponding genetic sequences, we proposed a classification of genetic sequences based on numerical indicators of recurrent and Z-recurrent shapes, which define the structure of functional relationships of elements in sequences. For numerical indicators of recurrent and Z-recurrent shapes, we introduce a method of classification of genetic sequences.

The Geometric Form of Automaton Mappings, Recurrent and Z-recurrent Definition of Sequences

Authors: Tverdokhlebov V. A.

For automaton mappings we present a method to construct geometric images, a method for complexity estimate by geometric forms, a method of Z-recurrent definition of sequences. A method for complexity estimate for finite sequences by recurrent and Z-recurrent numerical indicators is proposed. Numerical indicators of recurrent and Z-recurrent definitions of sequences are systematized into the spectrum of recurrent definitions with 5 levels of numerical indicators.

Invariants on a Set of Reciprocal Iterated Exponential Power Coefficients

Authors: Bulanov A. P.

A chain exponent LB(z) = z · B(z),  having a power sequence {bn}∞n=1, bn ≠ 0, n = 1,2,..., lim n→∞ |bn| < ∞, is defined by a function sequence B(z) = eb1·z·B1(z), B1(z) = eb2·z·B2(z), . . . , Bk−1(z) = ebk·z·Bk(z),. . . (we use the denotation B(z) = ‹ez;b1,b2,...› in the paper).