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July 6, 2026
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Scientists from HSE University, MSU, and Tallinn University of Technology have studied a fossil species of ancient brachiopods that lived in a warm sea in what is now northern Estonia more than 445 million years ago. These ancient brachiopods developed a cup-shaped shell with a protective 'cap' that shielded them from overgrowth by other marine organisms. The study has been published in Palaeogeography, Palaeoclimatology, Palaeoecology.
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О немонотонной сложности функций k-значной логики

С. 142–145.
Mikhailovich A., Kochergin V.

Different generalizations of Markov's theorem conserning inversion complexity of Boolean functions systems are considered.

Language: Russian
Full text
Text on another site
Keywords: функции многозначной логикиmulti-valued logic functionsсхемная сложностьinversion complexityMarkov's theoremинверсионная сложностьтеорема Марковаlogic circuitnonmonotone complexityнемонотонная сложностьсхемы из функциональных элементов circuit complexity
Publication based on the results of:
Классификация замкнутых классов функций многозначной логики, порожденных симметрическими функциями, по типам базируемости (2014)

In book

Материалы XII Международного семинара "Дискретная математика и её приложения" имени академика О.Б. Лупанова (Москва, МГУ, 20-25 июня 2016г.)
М.: Изд-во механико-математического факультета МГУ, 2016.
Similar publications
The Exact Circuit Complexity of Boolean Functions in an Infinite Basis
V. V. Kochergin, A. V. Mikhailovich, Mathematical notes 2025 Vol. 117 No. 4 P. 579–594
The exact value of the complexity of the circuit implementation of an arbitrary Boolean function in a certain basis consisting of negation and all monotone Boolean functions is found. The complexity of a function is defined as the least number of basis elements sufficient to construct a circuit implementation of this function. ...
Added: February 28, 2026
Точное значение схемной сложности булевых функций в одном бесконечном базисе
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The exact value of the complexity of the circuit implementation of an arbitrary Boolean function in a certain basis consisting of negation and all monotone Boolean functions is found. The complexity of a function is defined as the least number of basis elements sufficient to construct a circuit implementation of this function. ...
Added: April 8, 2025
Математические вопросы кибернетики. Вып. 22
Mikhailovich A., Kochergin V., М.: Физматлит, 2024.
Added: March 10, 2025
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