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Teaching Classic Probability Problems with Modern Digital Tools
Computers in the Schools. 2017. Vol. 34. No. 4. P. 318–336.
Abramovich S., Nikitin Y. Y.
We discuss modern spreadsheets used in the scholls in order to facilitate the teaching and understanding of classical probabilistic problems such as the division of stakes, the problem of Grand Duce of Tuscany and the problem of coprimality of two natural numbers chosen at random ( the latter ascends to Tchebysheff, Dirichlet, and probably even to Gauss and Euler).
Priority areas:
IT and mathematics
Language:
English
Kazakov A., Kulagin N., Lerman L. et al., Chaos 2026 Vol. 36 No. 11 P. 1–24
We study perturbations of an integrable Hamiltonian system with two degrees of freedom that possesses a saddle-focus equilibrium with a homoclinic skirt—a one-parameter family of homoclinic orbits of the saddle-focus whose stable and unstable invariant manifolds coincide. The perturbations are dissipative, and we consider those that split the skirt completely (i.e., no intersections remain). We are interested ...
Added: November 2, 2026
Obukhov A., Trofimov V., Отечественная и зарубежная педагогика 2026 Т. 2 № 4 С. 177–190
This article examines educational practices arising from the interaction between schools in the Republic of Buryatia and specially protected natural areas (SPNA). The study aims to determine how these territories are integrated into educational activities and what forms of student participation emerge within these practices. The empirical data set comprises 40 semi-structured interviews with SPNA ...
Added: November 2, 2026
Смирнов С. В., Дынников И. А., Успехи математических наук 2002 Т. 57 № 6 С. 183–184
Изучаются точно решаемые циклические q-цепочки Дарбу, обобщающие q-осциллятор ...
Added: November 1, 2026
Смирнов С. В., Алгебра и анализ 2003 Т. 15 № 5 С. 228–253
В работе построен дискретный q-аналог одевающей цепочки Веселова–Шабата (являющейся обобщением гармонического осциллятора). Показано, что, как и в непрерывном случае, соответствующие операторные соотношения позволяют полностью определить дискретный спектр операторов цепочки: в данном случае он состоит из нескольких q-арифметических прогрессий. В этой работе удалось реализовать циклическую q-цепочку ограниченными разностными самосопряженными операторами, причем спектр каждого из них дискретен, а собственные векторы образуют ...
Added: November 1, 2026
Смирнов С. В., Теоретическая и математическая физика 2012 Т. 172 № 3 С. 387–402
Изучаются интегрируемые условия обрыва для полудискретной цепочки Тоды. Построено представление Лакса для полудискретного аналога цепочек, соответствующих простым алгебрам Ли серии C. Введены нелокальные переменные, в терминах которых записываются симметрии бесконечной полудискретной цепочки, и классифицируются условия обрыва определенного вида, совместимые с симметриями бесконечной цепочки. ...
Added: November 1, 2026
Pilé I., Shchur L., Nuclear Physics B 2026 No. 0550-3213 Article 117706
We study the spatial overlap of successive spin configurations generated by Markov chain Monte Carlo simulations of the Baxter–Wu model. Using the Novotny–Evertz sublattice-freezing single-cluster update, we track the mean and variance of the algorithmic overlap across the critical region. We show that, even in this three-spin model, the overlap acts as an algorithmic observable ...
Added: November 1, 2026
Popova A., Иностранные языки в школе 2026 № 4 С. 40–48
The article addresses the current issue of integrating generative artificial intelligence models into the educational process. The professional competence of educators in constructing queries that ensure the methodological value of generated content is of particular importance. The purpose of the article is to describe the correlation between classical didactic principles (accessibility, systematicity, individualization, etc.) and ...
Added: October 30, 2026
Borzykh D., Орлов Н. А., Экономический журнал Высшей школы экономики 2026 Т. 30 № 3 С. 457–486
This study compares two estimation approaches for the stochastic volatility (SV) model,
namely quasi-maximum likelihood (QML) and Markov chain Monte Carlo (MCMC). A simulation exercise shows that MCMC delivers markedly more accurate parameter estimates than
QML. However, QML remains substantially faster and far less computationally demanding,
which makes it attractive in large-scale empirical applications. To the best of ...
Added: October 29, 2026
Guerreiro I., Sergey Skorokhod, di Volo M. et al., Communications in Nonlinear Science and Numerical Simulation 2027 Vol. 164 Article 110954
The collective dynamics of spiking networks of neurons has been of central interest to both computational
neuroscience and network science. Over the past years, a new generation of neural
population models based on exact reductions (ER) of spiking networks have been developed.
However, most of these efforts have been limited to networks of neurons with simple dynamics
(e.g. the ...
Added: October 29, 2026
Tikhonov E., Асманская М. А., Balzhinimaeva V. et al., М.: Национальный исследовательский университет "Высшая школа экономики", 2026.
Master’s education is now an integral part of higher education systems in almost every country. Yet this common designation encompasses a wide variety of programmes serving different purposes. Why has the two-cycle bachelor’s–master’s model become so widespread and enduring? The report argues that the key to the success of master’s education lies in its institutional ...
Added: October 29, 2026
Sergey Slavnov, / Series math "arxiv.org". 2026.
A prototypical example of categorial grammars are those based on Lambek calculus, i.e. noncommutative intuitionistic linear logic. However, it has been noted that purely noncommutative operations are often not sufficient for modeling even very simple natural language phenomena. Therefore a number of alternative formalisms are considered in the literature: those using purely ``commutative'' linear logic ...
Added: October 29, 2026
Podolsky A. I., Идобаева О. А., Поплавский М. В. et al., Мир психологии. Научно-методический журнал 2026 № 2 (125) С. 28–44
The purpose of the study was to examine the psychological characteristics of gifted adolescents studying in a boarding school (gymnasium). The psychological study involved 8th and 10th grade students from the University Gymnasium of Lomonosov Moscow State University. A comparative analysis of the individual characteristics of 8th and 10th grade students was conducted based on ...
Added: October 27, 2026
Roman Prosvirnin, Suslov A., Aleksei Soldatov et al., Computation 2026 Vol. 14 No. 10 Article 261
Abstract
Safety-aligned language models often encode that a request is harmful yet still comply with it. We turn this gap between internal recognition and observable behavior into an inference-time defense. The proposed activation-steering method uses a multiplicative operator that amplifies the residual-stream component along a harm-recognition direction. Intervention strength scales with the model’s own assessment of ...
Added: October 27, 2026
Aleksei Samarin, Nazarenko A., Nazarenko D. et al., Big Data and Cognitive Computing 2026 Vol. 10 No. 11 P. 1–52
Camera traps are a key tool for non-invasive wildlife monitoring, yet models trained on existing benchmarks often generalize poorly to new regions due to domain shift, class imbalance, and natural variability in illumination, season, and background. We introduce PACTraD, a benchmark of 116,973 annotated camera trap images collected in a protected area of the Baikal ...
Added: October 27, 2026
IEEE, 2026.
Proceedings of the X Scientific School "Dynamics of Complex Networks and their Applications"
(DCNA'2026) contain papers of reports of scientists and specialists in the field of intelligent technologies,
engineering education, research and design of complex networks.
DCNA'2026 was held from 10 to 12 September 2026 in Moscow, Russia, as a part of the International
Forum on Artificial Intelligence and ...
Added: October 26, 2026
Flamarion M. V., Pelinovsky E., Wave Motion 2027 Vol. 148 Article 103867
We consider the interaction of two solitary waves in the modified Benjamin–Bona–Mahony
(mBBM) equation in a regime where a small parameter measures the departure from the classical
modified Korteweg–de Vries (mKdV) equation. A regular perturbation method is used to
analyze the modification of the two-soliton wave field induced by the weak non-integrability of
the mBBM equation. We show that, ...
Added: October 23, 2026
Gavrilenko P. A., Янис С. О., Педагогика и психология образования 2026 № 2 С. 26–42
Understanding the pedagogical practices of teachers in the classroom
system is an important area of modern pedagogy. The article presents
the results of an empirical study aimed at identifying ways for teachers to frame
time and group work in the context of supporting three basic psychological needs of schoolchildren, namely, autonomy, competence, and relatedness.
The theoretical basis of the research ...
Added: October 23, 2026
Sergei P. Zhdanov, Contemporary Educational Technology 2026 No. 18(4) Article 701
Generative artificial intelligence (GenAI) recently appeared as an issue of its time which has been
changing the educational landscape at a considerable rate and opening new pathways and
challenges for educators and learners. Therefore, in terms of GenAI for education this
bibliometric analysis will characterize the change and development by mapping trends and
patterns, examining prevalent subject areas in ...
Added: October 22, 2026
Lev Pyatko, Sergey Aksenov, Regular and Chaotic Dynamics 2026 Vol. 31 No. 5 P. 794–813
In the circular restricted three-body problem, families of periodic and quasi-periodic orbits exist in the vicinity of the libration points and are of significant interest for practical applications. This work presents a neural network-based algorithm for orbit construction and station-keeping, applicable to both periodic and quasi-periodic orbits near collinear libration points. The method employs a ...
Added: October 19, 2026
Vorontsova T., М.: Академия, 2025.
The textbook has been prepared in accordance with the requirements of the federal state educational standards for secondary vocational education and is intended for studying the professional modules “Information Security in Information and Telecommunication Systems and Networks Using Software and Hardware‑Software Tools, Including Cryptographic Protection Tools” and “Information Security in Automated Systems Using Software and ...
Added: October 19, 2026
Naumov A., Рубцов А. С., Samsonov S. et al., Успехи математических наук 2026 Т. 81 № 4 (490) С. 161–162
Краткое сообщение рассматривает Моментные оценки для стохастической аппроксимации ...
Added: October 17, 2026
Timur Teregulov, Elena R. Loubenets, / Series Quantum Physics "arXiv". 2026. No. 2609.31472.
We develop a new three-party quantum secret-sharing (QSS) protocol based on a three-qubit W state. This protocol encodes the secret-sequence bits using X gates and employs randomly selected Hadamard operations and measurement bases to generate information and security-test rounds. We evaluate the efficiency of the proposed protocol and analyze its security against an internal adversary ...
Added: September 28, 2026
Shabanov N., Kuricheva O., Kurbatova J. et al., / Series Working Papers SSRN "Department of Economics Ca’ Foscari University of Venice". 2026.
The carbon balance of an ecosystem is the difference between Gross Primary Productivity (GPP) and Ecosystem Respiration (Reco) as expressed by Net Ecosystem Exchange (NEE). While remote sensing retrievals of GPP have reached maturity, Reco estimation remains underexplored and ultimately cast bias on NEE. Here we present an end-to-end multi-scale analysis of the mechanism of ...
Added: August 21, 2026
Ponomarenko A., / Series Computer Science "arxiv.org". 2025.
This paper addresses the challenge of merging hierarchical navigable small world (HNSW) graphs, a critical operation for distributed systems, incremental indexing, and database compaction. We propose three algorithms for this task: Naive Graph Merge (NGM), Intra Graph Traversal Merge (IGTM), and Cross Graph Traversal Merge (CGTM). These algorithms differ in their approach to vertex selection ...
Added: July 30, 2026