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Digital Ark of Knowledge
Doklady Mathematics. 2022. Vol. 106. No. 1. P. S113–S117.
Goryachko V. V., Bubnova A. S., Rayevskiia E. V., Semenov A. L.
The general problem of creating and using encyclopedic knowledge in the digital civilization is considered. The creation and use of a digital encyclopedia are an example of intellectual activities of a collective expanded personality. The basic principles concerning the creation and functioning the “Digital ark of knowledge” at Lomonosov Moscow State University are described in the case of mathematical sciences. The arising problems and their solutions are discussed.
Mehrotra S. K., Sharma A., Mehrotra V. S., Economic & Political Weekly 2025 Vol. 60 No. 51
Recognition of Prior Learning, a key component of the Skill India Mission under the National Policy for Skill Development and Entrepreneurship, 2015, seeks to formalise the skills of India’s vast informal workforce, which accounts for over 91% of the total employment. While RPL can enhance employability, economic mobility, and workforce productivity, its implementation remains constrained ...
Added: September 1, 2026
Селянин Ф. И., Moscow Mathematical Journal 2026 Vol. 26 No. 2 P. 167–187
Minkowski mixed volume of n subpolytopes D1,…,Dn of a polytope P⊂Rn clearly does not exceed the normalized volume n!Vol(P). Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face F⊊P intersects at least dim(F)+1 of the polytopes Di. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.
Motivated by relaxing the bound dim(F)+1 to dim(F), we ...
Added: August 31, 2026
Asia and Africa today 2026 Vol. 6 P. 80–86
This theoretical article examines the persistent problem of the “leaky pipeline” for women in
Nigerian higher education, where increased representation in male-dominated STEM fields is undermined
by enduring stereotypes and socio-cultural barriers. By employing a critical theoretical analysis and
interpretive synthesis, it aims to demonstrate how the concept of reflexive modernization explains why
stereotype threats ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., International Mathematics Research Notices 2026 Vol. 14 Article rnag146
We prove a recent conjecture of the fourth named author with P. Norbury that states a system of universal polynomial relations among the kappa classes on the moduli spaces of algebraic curves. The proof involves localization and materialization analysis of the spin Gromov–Witten theory of the projective line and is dictated by Z 2 -equivariant ...
Added: August 31, 2026
Kazaryan M., Dunin-Barkowski P., Bychkov B. et al., Communications in Mathematical Physics 2026 Vol. 407 No. 69
We prove that for any initial data on a genus zero spectral curve the cor responding correlation differentials of topological recursion are KP integrable. As an application we prove KP integrability of partition functions associated via ELSV-type formulas to the r-th roots of the twisted powers of the log canonical bundles ...
Added: August 31, 2026
Ермоленко Г. А., Кожевников С. Б., М.: Эксмо, 2026.
Socio‑humanitarian knowledge helps to master the social norms and values of Russian civilization. Each module of social studies is linked to a specific sphere of human social life, to activities aimed at fulfilling a person’s spiritual needs and social interests. Recognizing the social nature of one’s own needs is an important step towards understanding oneself, ...
Added: August 31, 2026
Gromov V., Переслегин С. Б., Переслегина Е. Б. et al., СПб.: Полакс, 2026.
Механизм происходящих в мире изменений носит эволюционный, а не экологический характер. Иначе говоря, Человечество столкнулось с кризисом развития, который имеет три независимые составляющие: кризис индустриального общества (фазовый кризис), кризис научного мышления (эпистемный кризис) и кризис формата существования разума (социосистемный кризис). Доклад посвящён аспектам этого триединого кризиса и возможным путям его преодоления, не сводящимся к первичному ...
Added: August 31, 2026
Devyatov R. A., Mathematical notes 2026 Vol. 119 No. 3 P. 782–786
Let G/B be a flag variety over ℂ, where G is a simple algebraic group with a simply laced Dynkin diagram, and B is a Borel subgroup. We say that the product of classes of Schubert divisors in the Chow ring is multiplicity free if it is possible to multiply it by a Schubert class ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Journal fuer die reine und angewandte Mathematik 2026 Vol. 2026 No. 836 P. 111–162
We give a self-contained and simplified proof of Mukai’s classification of prime Fano threefolds of index 1 and genus g ≥ 6 with at most factorial terminal singularities, and of its extension to higher dimension. ...
Added: August 30, 2026
Bayer A., Kuznetsov A., Macrì E., Compositio Mathematica 2026 Vol. 162 No. 1 P. 59–99
We give a proof of Mukai’s theorem on the existence of certain exceptional vector bundles on prime Fano threefolds. To our knowledge this is the first complete proof in the literature. The result is essential for Mukai’s biregular classification of prime Fano threefolds, and for the existence of semiorthogonal decompositions in their derived categories. Our ...
Added: August 30, 2026
Guseva L., Novikov A., Advances in Mathematics 2026 Vol. 503 Article 111211
We prove that the Kuznetsov–Polishchuk exceptional collections on rational homogeneous spaces of the symplectic groups Sp(2n,C) are full and consist of vector bundles. To achieve this, we construct several classes of complexes, which we call generalized staircase complexes, symplectic staircase complexes and secondary staircase complexes — each of which may be of independent interest. ...
Added: August 30, 2026
Polishchuk A., Rains E., Journal of the Institute of Mathematics of Jussieu 2026 Vol. 25 No. 1 P. 339–373
We prove that for every relatively prime pair of integers (d,r) with r>0, there exists an exceptional pair (O,V) on any del Pezzo surface of degree 4, such that V is a bundle of rank r and degree d. As an application, we prove that every Feigin-Odesskii Poisson bracket on a projective space can be ...
Added: August 30, 2026
Kazhdan D., Polishchuk A., Pure and Applied Mathematics Quarterly 2026 Vol. 22 No. 3 P. 1115–1166
We continue the study of automorphic functions associated with a curve C over the ring k[ε]/(ε²), where k is a finite field, begun in arXiv:2303.16259. Namely, we study an example of theta-lifting in this framework and show that it can be understood in terms of the orbit decomposition of the space of automorphic functions S(SL₂(F)\SL₂(A_C)) ...
Added: August 30, 2026
Kuznetsov A. P., Sataev I. R., Stankevich N., Chaos 2026 Vol. 36 No. 8 Article 083131
A radio-physical system, namely, a two-mode van der Pol generator, is considered. It is shown that this system demonstrates two types of chaos: with one and two zero Lyapunov exponents. The regions of the second type of chaos are surrounded by bifurcation lines of invariant tori doubling. Quasi-periodic structures of various shapes are embedded within ...
Added: August 30, 2026
Shirokov N. A., Rozenblum G., Israel Journal of Mathematics 2026 P. 1–30
We establish that a generalized H\¨older continuous function on an (m−2)-Ahlfors regular compact set in Rm can be approximated by solutions of an elliptic equation, with the rate of approximation determined by the continuity modulus of the function ...
Added: August 29, 2026
Avdoshin S.M., Patrushev K. A., Proceedings of the Institute for System Programming of the RAS 2026 No. 4 часть 2 P. 245–256
The cardinality-constrained Markowitz problem is NP-hard and traditionally solved with commercial MIQP solvers. Following the 2022 export restrictions that rendered both commercial MIQP software and cloud quantum platforms (IBM Quantum, D-Wave Leap) inaccessible from the Russian Federation, practitioners require open-source alternatives. This paper systematically compares three solver families for the discrete mean-variance problem: two open-source ...
Added: August 27, 2026
Akhmedjanova D., Kanonire T., Zakharov A., Plos One 2026 Vol. 21 No. 2 Article e0341318
Research evidence exists on associations of subjective well-being, self-efficacy and various academic and non-academic outcomes with older students; however, there is a research gap on how these variables relate to each other in elementary school students. The goal of this cross-sectional study within a larger longitudinal project was to examine the role of subjective well-being ...
Added: February 3, 2026
Красноярск: ИВМ СО РАН, 2025.
Содержит статьи по материалам докладов, представленных на V Конференции математических центров России, г. Красноярск, 11-16 августа 2025 г. ...
Added: January 16, 2026
Ли О. В., Педагогическая информатика 2025 № 1 С. 141–148
This article discusses the goals and objectives, recommendations for the use of intelligent information systems in the training of mathematics teachers on the basis of additional education. A comparative analysis of information systems and intelligent information systems is provided. Problems in the use of intelligent information systems in education are considered. ...
Added: January 15, 2026
Levin I., Semenov A., Gorsky M., Education Sciences 2025 Vol. 15 No. 1 Article 45
This article explores the evolution of constructionism as an educational framework, tracing its relevance and transformation across three pivotal eras: the advent of personal computing, the networked society, and the current era of generative AI. Rooted in Seymour Papert’s constructionist philosophy, this study examines how constructionist principles align with the expanding role of digital technology ...
Added: December 6, 2025
М.: Политическая энциклопедия, 2021.
The encyclopedia “Russia in the Civil War. 1918-1922” is a fundamental scientific work, which shows military, political, social, economic and cultural processes in the country inl918-1922.This publication includes more than 2900 entries describing the events of the Civil War within the wide life context of that time. It also contains about 2000 rare photographs, photographs ...
Added: October 8, 2025
Konieczny P., Danabayev K., Kennedy K. et al., Asia Pacific Journal of Education 2025 Vol. 45 No. 3 P. 840–855
Work on students’ information literacy and research trajectories is usually based on studies of Western, English-speaking students. South Korea presents an opportunity to investigate an environment where Internet penetration is very high, but local Internet users operate in a different digital ecosystem than in the West, with services such as Google and Wikipedia being less ...
Added: September 5, 2025
Давыдова Е. А., Педагогический поиск 2024 № 10-11 С. 30–36
The article is devoted to the conditions created by Kursk institute for education development to strengthen the corporate unity of foreign languages teachers within the professional community. The author of the article names the most important of these conditions, examines the effectiveness of their functioning, provides examples and didactic materials used in practice.
The practical significance ...
Added: August 5, 2025
Sizova I., Вопросы музеологии 2024 Т. 15 № 2 С. 299–308
The article outlines the challenges and tasks that may arise when preparing encyclopedic entries based on scientific research in museology. The author thoroughly examines the process of writ-ing articles for the encyclopedia “Literary Museums of Russia”, highlighting the primary areas of work and key aspects involved. The main idea is that such work is a ...
Added: January 11, 2025