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This book contains translations of papers from the second volume of
the new Russian-language journal published at the Sobolev Institute
of Mathematics (Sibe- rian Branch of the Russian Academy of
Sciences, Novosibirsk) since 1994. In 1994 the journal was titled
Sibirskil Zhurnal Issledovaniya Oper- atsil. Since 1995 this
journal has the title Diskretny'l Analiz i Issledovanie Operatsi'l
(Discrete Analysis and Operations Research). The aim of this
journal is to bring together research papers in different areas of
discrete mathematics and computer science. The journal DiskretnYl
Analiz i Issledovanie Operatsil covers the following fields: *
discrete optimization * synthesis and complexity * discrete
structures and * of control systems extremal problems * automata *
combinatorics * graphs * control and reliability * game theory and
its of discrete devices applications * mathematical models and *
coding theory methods of decision making * scheduling theory *
design and analysis * functional systems theory of algorithms
Contributions presented to the journal can be original research
papers and occasional survey articles of moderate length. The
journal is published in one volume of four issues per year that
appear in March, June, September, and December. Each volume
contains approximately 400 pages. I express my sincere gratitude to
Professor S. S. Kutateladze for his help in editing the English
translation.
This book contains translations of papers from the first volume of
the new Russian-language journal published at the Sobolev Institute
of Mathematics (Sibe- rian Branch of the Russian Academy of
Sciences, Novosibirsk) since 1994. In 1994 the journal was titled
Sibirskil Zhurnal Issledovaniya Operatsil. Since 1995 this journal
has the title DiskretnYl Analiz i Issledovanie Operatsil (Discrete
Analysis and Operations Research) The aim of this journal is to
bring together research papers in different areas of discrete
mathematics and computer science. The journal DiskretnYl Analiz i
Issledovanie Operatsil covers the following fields: * discrete
optimization * synthesis and complexity * discrete structures and *
of control systems extremal problems * automata * combinatorics *
graphs * control and reliability * game theory and its of discrete
devices applications * mathematical models and * coding theory
methods of decision making * scheduling theory * design and
analysis * functional systems theory of algori thms Contributions
presented to the journal can be original research papers and
occasional survey articles of moderate length. A. D. Korshunov THE
NUMBER OF DISTINCT SUBWORDS OF FIXED LENGTH IN THE MORSE-HEDLUND
SEQUENCEt) S. V. Avgustinovich An exact formula is obtained for the
number of distinct subwords of length n in the Morse-Hedlund
sequence [1), i. e. , the sequence in which the initial member is 0
and subsequent members are produced by unlimited application of the
operation of substituting 01 for 0 and 10 for 1.
This book contains translations of papers from the second volume of
the new Russian-language journal published at the Sobolev Institute
of Mathematics (Sibe- rian Branch of the Russian Academy of
Sciences, Novosibirsk) since 1994. In 1994 the journal was titled
Sibirskil Zhurnal Issledovaniya Oper- atsil. Since 1995 this
journal has the title Diskretny'l Analiz i Issledovanie Operatsi'l
(Discrete Analysis and Operations Research). The aim of this
journal is to bring together research papers in different areas of
discrete mathematics and computer science. The journal DiskretnYl
Analiz i Issledovanie Operatsil covers the following fields: *
discrete optimization * synthesis and complexity * discrete
structures and * of control systems extremal problems * automata *
combinatorics * graphs * control and reliability * game theory and
its of discrete devices applications * mathematical models and *
coding theory methods of decision making * scheduling theory *
design and analysis * functional systems theory of algorithms
Contributions presented to the journal can be original research
papers and occasional survey articles of moderate length. The
journal is published in one volume of four issues per year that
appear in March, June, September, and December. Each volume
contains approximately 400 pages. I express my sincere gratitude to
Professor S. S. Kutateladze for his help in editing the English
translation.
This book contains translations of papers from the first volume of
the new Russian-language journal published at the Sobolev Institute
of Mathematics (Sibe- rian Branch of the Russian Academy of
Sciences, Novosibirsk) since 1994. In 1994 the journal was titled
Sibirskil Zhurnal Issledovaniya Operatsil. Since 1995 this journal
has the title DiskretnYl Analiz i Issledovanie Operatsil (Discrete
Analysis and Operations Research) The aim of this journal is to
bring together research papers in different areas of discrete
mathematics and computer science. The journal DiskretnYl Analiz i
Issledovanie Operatsil covers the following fields: * discrete
optimization * synthesis and complexity * discrete structures and *
of control systems extremal problems * automata * combinatorics *
graphs * control and reliability * game theory and its of discrete
devices applications * mathematical models and * coding theory
methods of decision making * scheduling theory * design and
analysis * functional systems theory of algori thms Contributions
presented to the journal can be original research papers and
occasional survey articles of moderate length. A. D. Korshunov THE
NUMBER OF DISTINCT SUBWORDS OF FIXED LENGTH IN THE MORSE-HEDLUND
SEQUENCEt) S. V. Avgustinovich An exact formula is obtained for the
number of distinct subwords of length n in the Morse-Hedlund
sequence [1), i. e. , the sequence in which the initial member is 0
and subsequent members are produced by unlimited application of the
operation of substituting 01 for 0 and 10 for 1.
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