Числа, удаленные от простых, образуют базис порядка 2

The matrix profile (MP) quickly became one of the most important time series preprocessing methods when it was introduced in 2016, facilitating the solution of a wide range of time series analysis problems, in particular anomaly and pattern detection problems. The high significance has led to the emergence of various tools for MP calculating, but ...

Added: October 9, 2026

Теория вероятностей и математическая статистика. Олимпиадные задачи.

ООО "Издательство Юрайт ", 2026.

The Collection of Olympiad Problems (COP) in Probability Theory and Mathematical Statistics (PTMS) is offered as a teaching aid primarily for university students and faculty as a developmental supplementary resource, expanding the range of problems to be solved in lectures, seminars, and out-of-class independent work with students in various formats, including (as the title suggests) ...

Added: October 9, 2026

Человеко-машинная система анализа и улучшения качества условий проживания населения

Aleskerov F. T., Вайншток А. П., Делахова А. М. et al., Информационные процессы 2026 Т. 26 № 3 С. 895–913

The development and effective management of territorial entities are priority issues for all states, particularly in the context of the digital transformation of public administration. Over the past decade, the integration of information technologies into municipal and regional planning has significantly altered approaches to strategic development, service delivery, and public engagement. This paper describes the ...

Added: October 9, 2026

Linear dependencies, polynomial factors in the Duke–Erdős forbidden sunflower problem

Kupavskii A., Noskov F., Forum of Mathematics, Sigma 2026 Vol. 14 Article 124

We call a family of $s$ sets $\{F_1, \ldots, F_s\}$ a sunflower with $s$ petals if, for any distinct $i, j \in [s]$, one has $F_i \cap F_j = \cap_{u = 1}^s F_u$. The set $C = \cap_{u = 1}^s F_u$ is called the {\it core} of the sunflower. It is a classical result of ...

Added: October 8, 2026

Modulational Instability and Wave Dynamics in the Rotated Modified Gardner–Whitham Equation

Flamarion M. V., Pelinovsky E., Chaos, Solitons and Fractals 2026 Vol. 213 No. 2 Article 119245

This article concerns the study of modulational instability in the rotated-modified Gardner–Whitham (rmGW) equation. This model incorporates both quadratic and cubic nonlinearities, similarly to the Gardner equation, while also retaining the fully dispersive character of the Whitham equation together with a large-scale dispersive term analogous to that in the Ostrovsky equation. Using a classical multiple-scale asymptotic expansion, we ...

Added: October 8, 2026

Автоматизированное построение математических теорий

Люксембург А. А., УРСС, 2005.

Изучается возможность автоматизированного построения математических теорий. Рассматривается дедуктивная система, основанная на языке логики предикатов первого порядка, объектами системы являются математические выражения или формулы, которые описывают математические объекты или их свойства. В дедуктивной системе выводятся математические определения и теоремы. Для доказательства теорем используются методы автоматического доказательства. Разработан алгоритм, выводящий часть формул системы. Для решения задачи используется аппарат математической ...

Added: October 7, 2026

Decision support system for improving the quality of life of the population

Aleskerov F. T., Chaika E., Дерендяев А. Б. et al., Procedia Computer Science 2026 No. 287 P. 590–595

Under conditions of dynamic socio-economic changes, effective planning and decision-making are key factors in ensuring a high quality of life for the population in territories. This paper presents a decision support system for territorial administrations for the development and implementation of sustainable development strategies, using one of the regions of the Russian Federation – the ...

Added: October 7, 2026

Space-Time Fluctuations in a Quasi-static Limit

Bernardin C., Gonçalves P., Olla S., Mathematical Physics Analysis and Geometry 2024 Vol. 27 No. 7

We consider the macroscopic limit for the space-time density fluctuations in the open symmetric simple exclusion in the quasi-static scaling limit. We prove that the distribution of these fluctuations converge to a gaussian space-time field that is delta correlated in time but with long-range correlations in space. ...

Added: October 6, 2026

To spike or not to spike: the whims of the Wonham filter in the strong noise regime

Bernardin C., Chhaibi R., Najnudel J. et al., Probability Theory and Related Fields 2026 Vol. 195 P. 1823–1875

We study the celebrated Shiryaev-Wonham filter (Wonham, W.M., in J. Soc. Ind. Appl. Math. 347–369, 1964) in its historical setup, where the hidden Markov jump process has two states. We are interested in the weak noise regime for the observation equation. Interestingly, this becomes a strong noise regime for the filtering equations. Earlier results of ...

Added: October 5, 2026

Цепная дробь Аски–Вильсона при qN=1

Ismailov A., Spiridonov V., Успехи математических наук 2026 Т. 81 № 5 С. 183–184

Получена новая формула для цепной дроби Аски–Вильсона в форме отношения двух q-гипер-геометрических рядов. ...

Added: October 5, 2026

Explicit Formula for Inverse and Determinant in Geometric Algebras over Odd-dimensional Vector Spaces

Abdulkhaev K., Shirokov D., Advances in Applied Clifford Algebras 2026 Vol. 36 P. 1–21

In this paper, we present explicit formulas for the inverse and determinant in geometric (Cliﬀord) algebras over vector spaces of dimension n = 7. The derivation of these formulas is made possible by generalizing the concept of conjugation to basis conjugation operations. We further develop a general method for constructing such formulas over odd-dimensional spaces ...

Added: October 4, 2026

On Practical Aspects of Constructing Quasi-Cyclic Subfield Subcodes of Dual Elliptic Codes and Their Application in McEliece-type Cryptosystems

Kuninets A., IEEE Transactions on Information Theory 2026 P. 1–1

In this work we study the applicability of Quasi-Cyclic Subfield Subcodes of Dual Elliptic (QC-SSDE) codes for integration into code-based cryptographic schemes. Detailed algorithms are provided for constructing parity-check matrices as well as block-circulant parity-check matrices for this family of codes, accompanied by empirical results that enable the construction of QC-SSDE codes with predetermined dimensions. ...

Added: October 3, 2026

Graphon spin systems as exactly solvable models

Medvedev G., Alexandrov Artem, Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2026 Vol. 114 Article 044102

Graphons are measurable functions used to describe the asymptotic behavior of convergent graph families. Originally motivated by problems in combinatorics and graph theory, graphons have found numerous applications in the modeling and analysis of dynamical processes on networks. In this work, we use graphons to formulate the Ising model on convergent graph sequences, which include ...

Added: October 2, 2026

Планетарное зацепление трилистника

Pochinka O., Baranov D., Nozdrinova E., Теоретическая и математическая физика 2026 Т. 229 № 1 С. 3–14

The Birman–Williams problem on describing the planetary link of a fibered knot K in S^3 has been partially solved. Using Nielsen's theory for the classification of periodic surface homeomorphisms and its close relationship with the theory of gradient-like diffeomorphisms, it is proved that the planetary link of the trefoil (the unique periodic fibered knot of genus ...

Added: October 2, 2026

A quantum–analogue formalism for modeling supraliminal information processing

Lubashevsky I., Lubashevskiy V., Physica D: Nonlinear Phenomena 2026 Vol. 498 Article 135441

We develop a novel cloud-function formalism describing the dynamical relationship between sensory-information processing in large-scale brain networks (supraliminal processing) and the content of the mental representation of an observed object. The formalism combines elements of neural field theory for large-scale neural activity with the spatial characteristics of perceived objects and their embedding in the environment ...

Added: October 2, 2026

Консервативные энтропийно и энергетически корректные разностные методы для одномерных квазигазодинамических систем уравнений

Zlotnik A., Математические заметки 2026 Т. 120 № 6 С. 1005–1009

Численным методам решения систем газодинамических уравнений посвящена обширная литература. Ранее было разработано и успешно апробировано специальное семейство симметричных по пространству консервативных разностных методов, основанных на предварительной кинетической, точнее, квазигазодинамической (КГД), регуляризации этих уравнений. Актуальной задачей является построение численных методов, которые обладают не только свойством консервативности по массе, импульсу и полной энергии, но и удовлетворяют условиям энтропийной ...

Added: October 1, 2026

On some arithmetic conditions of recurrent sequences modulo prime p

Vyugin I. V., Sashadhar D., Algebra and Number Theory 2026 P. 1–10

We study the K-Fibonacci sequence Fp modulo prime p. Cardinalities of sets |Fp+Fp| and |Fp⋅Fp| are estimated. We present the method of estimating doubling constant of some m-dimensional recurrent sets in Fp. ...

Added: October 1, 2026

AN ANALOGUE OF ROGERS’ THEOREM ON SIEVING IN COMMUTATIVE RINGS

Petr Kucheriaviy, Bulletin of the Australian Mathematical Society 2026 P. 1–5

We prove that an analogue of Rogers’ theorem on sieving holds for an order if and only if the order is a Dedekind domain. We also prove that it holds for a finite commutative ring if and only if the ring is a direct product of local rings with linearly ordered ideals. ...

Added: September 25, 2026

Простые числа в кортежах и теорема Романова

Radomskii A., Известия РАН. Серия математическая 2025 Т. 89 № 1 С. 135–150

A lower bound for the number of primes in tuples is obtained. As an application, a lower bound for the Romanoff type representation functions is given. ...

Added: March 8, 2025

О теореме Романова

Radomskii A., Известия РАН. Серия математическая 2023 Т. 87 № 1 С. 119–160

We obtain some results related to Romanoff’s theorem. ...

Added: February 15, 2023

Последовательные простые числа на коротких интервалах

Radomskii A., Труды Математического института им. В.А. Стеклова РАН 2021 Т. 314 С. 152–210

We obtain a lower bound for $\#\{x/2< p_{n}\leq x:\ p_n \equiv\ldots\equiv p_{n+m}\equiv a\text{ (mod $q$)},\ p_{n+m} - p_{n}\leq y\}$, where $p_{n}$ is the $n$th prime. ...

Added: February 15, 2023

Расчёт трудового потенциала организации на примере ОАО «Литейно-механический завод»

Troitskaya A., Теоретическая и прикладная экономика 2021 № 3 С. 14–29

This article is dedicated to practical implementation of quantitative assessment of labor potential of the company. The author provides the results of implementation of the original methodology for calculating labor potential of the company on the example of “Foundry and Mechanical Plant” OJSC in the city of Semyonov of Nizhny Novgorod region. In the course ...

Added: October 29, 2021

Альтюссеровский поворот в марксизме и его значение для теории социального

Толкачев П. А., Давтян Ц. А., Философская мысль 2020 № 7 С. 59–71

Rehabilitation of Marxist thought present in Althusser’s compilation of the articles titled by catching appeal “For Marx” is carried out in two directions: general – when theoretical line of understanding of the society and history is derived out of Marxism as political ideology; specific – when revealing the “ rational kernel” of Marxist philosophy of ...

Added: January 11, 2021

О числах Новака

Kalmynin A. B., Математический сборник 2018 Т. 209 № 4 С. 26–37

New lower bounds are obtained for the number N_B(x) of Novák numbers not exceeding the given quantity x. In addition, conditioned on the generalized Riemann Hypothesis, upper bounds are found for the number of prime factors of Novák numbers and a description of the prime factors of Novák numbers N such that 2N is a Novák-Carmichael number is presented. ...

Added: October 6, 2018