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К вопросу формирования принципов перевода первичных баллов ЕГЭ по математике в 100-балльную шкалу
Образовательный процесс. 2018. № 9. С. 10–13.
The paper discusses in detail the scale of translation of primary points scored by school graduates in the unified state exam in mathematics, used from 2013 to the present time. Based on the analysis of the dynamics of these scales, a conclusion is made about the annual increase in the "average" 100-point result, as well as the presence of a significant increase in the final grade compared with the linear scale. Additionally, the authors describe the effect of reducing the value of primary points as they approach the maximum.
Priority areas:
mathematics
Language:
Russian
Chemical Papers 2026
Benzenoid hydrocarbons are structurally regular aromatic compounds, which makes them well suited for quantitative structure–property relationship (QSPR) studies. This study presents a QSPR analysis of nineteen benzenoid hydrocarbon species using degree-based topological co-indices. We developed a Python program to compute eleven degree-based topological co-indices from molecular graphs and evaluated their ability to explain variations in ...
Added: September 8, 2026
Ребрейкина А. Б., Liaukovich K., Современная зарубежная психология 2024 Т. 13 № 2 С. 33–43
Создание методик диагностики на основе анализа движений глаз является особенно актуальным для оценки когнитивных функций у детей, которые не могут дать речевой или моторный ответ в силу своего возраста или из-за нарушений развития. Для таких детей использование объективных методов оценки когнитивных функций на основе айтрекинга может стать полезным диагностическим инструментом, дополняющим традиционные поведенческие опросники и ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
B.Josephson (Nobel Prize, 1973) predicted a tunnelling effect for a system of two superconductors separated by a narrow dielectric (such a system is called Josephson junction): existence of a supercurrent through it and equations governing it. The overdamped Josephson junction is modeled by the family of differential equations on the 2-torus, dθdτ=1ω(cosθ+B+Acosτ), which is known as ...
Added: September 8, 2026
Glutsyuk A., / Series arXiv "math". 2026.
A planar dual billiard is a planar curve γ equipped with a family (σP)|P∈γ of projective involutions of the projective lines LP tangent to γ at P that fix P. A dual billiard is called rationally integrable, if there exists a rational function R(x,y) of two variables (called first integral) whose restriction to each tangent ...
Added: September 8, 2026
Alexandrov A., Glutsyuk A., Journal of Differential Equations 2026 Vol. 465 Article 114178
The overdamped Josephson junction in superconductivity theory can be modeled by the family of dynamical systems on the torus, which is known as the RSJ model. This family admits an equivalent description by a family of second-order differential equations: special double confluent Heun equations. In the present paper, we construct two new families of dynamical systems on ...
Added: September 8, 2026
Glutsyuk A., Inventiones Mathematicae 2026 Vol. 245 P. 977–1058
A caustic of a strictly convex planar bounded billiard is a smooth curve whose tangent lines are reflected from the billiard boundary to its tangent lines. The famous Birkhoff Conjecture, studied by many mathematicians, states that if the billiard boundary has an inner neighborhood foliated by closed caustics, then it is an ellipse. In the paper we study ...
Added: September 8, 2026
Ермоленко Г. А., Ахмадуллин В. А., Базилико Э. А. et al., М.: Издательско-торговая корпорация «Дашков и Ко», 2026.
The monograph is devoted to reconstructing the uniqueness of Russia’s historical path — its culture, social system, and religious, philosophical, and political thought. Based on a synthesis of various sciences and approaches, the authors summarize and comprehensively demonstrate the distinctiveness of Russian traditions.
The uniqueness of Russia is revealed through a vast body of factual material as a ...
Added: September 8, 2026
Yu E. C., Lui A., Andrade H. et al., Educational Assessment 2026 P. 1–26
Feedback often promotes student learning. Research has focused on delivering high-quality feedback, yet too little is known about how students respond to feedback, and whether and why it serves its intended purposes. This study is an investigation of how college students responded to feedback on their self-regulated learning (SRL). After taking an online assessment of ...
Added: September 8, 2026
Prikhodko Artem, Kubrak D., Compositio Mathematica 2026 Vol. 162 No. 6 P. 1377–1438
In this follow-up paper we show that smooth Hodge-proper stacks over O𝐾 are ℚ𝑝-locally acyclic: namely the natural map between étale ℚ𝑝-cohomology of the algebraic and Raynaud generic fibers is an equivalence. This establishes the ℚ𝑝-case of general conjectures made in D. Kubrak and A. Prikhodko [p-adic Hodge theory for Artin stacks, Mem. Amer. Math. ...
Added: September 7, 2026
Ismailov A., Constructive Approximation 2026
The measure of the positivity set {x ∈ [0; 2π] | f (x) > 0} of a trigonometric polynomial f is bounded from below by the Motzkin density.
We generalize the bound to polynomials in several variables and almost periodic functions.
We then use these generalizations to extend known results on Taikov’s problem. ...
Added: September 7, 2026
Kucheryavyy P., Математические заметки 2026 Т. 2026 № 120 С. 380–401
В работе изучаются перестановки, возникающие при упорядочивании по возрастанию дробных долей произведений элементов фиксированной целочисленной последовательности на вещественный параметр. Исследуется количество различных перестановок, которые можно получить таким образом при изменении этого параметра от нуля до единицы. ...
Added: September 7, 2026
Tkachuk A., Ларина О. А., Восточная аналитика 2026 Т. 17 № 2 С. 177–190
В статье рассматриваются две крупнейшие национальные системы отбора абитуриентов: китайский Гаокао (кит. упр. 高考, пиньинь gāokǎo) и российский ЕГЭ. Акту- альность исследования обусловлена тенденцией к унификации образовательных стан- дартов. В работе рассмотрены исторические предпосылки формирования обоих экза- менов, их структура, методы оценивания и сроки проведения, социальное восприятие, а также влияние на дальнейшее образование. Сделан вывод, ...
Added: September 6, 2026
Rossinskaya A., Асонова Е. А., Вестник Московского городского педагогического университета. Серия: Педагогика и психология 2026 Т. 20 № 2 С. 88–110
Педагогическая магистратура в России является одной из востребованных траекторий получения формального педагогического образования для людей, чья профессиональная карьера начиналась в других сферах. В связи с этим, по данным Росстата, увеличивается число взрослых магистрантов, которые приходят в вуз высокомотивированными и компетентными в предметных областях. Однако уровень их универсальных компетентностей требует планомерной работы, учитывающей особенности этой целевой ...
Added: September 6, 2026
Осипов Д.В., Математический сборник 2026 Т. 217 № 9 С. 130–146
Изучаются законы взаимности, связанные с комплексными линейными расслоениями на расслоениях на ориентируемые окружности. В частности, доказывается следующий закон взаимности. Пусть B – комплексное многообразие и πi:Mi→B – расслоение на ориентируемые окружности, где индекс i пробегает конечное множество. Пусть Li и Ni – комплексные линейные расслоения на каждом многообразии Mi. Закон взаимности утверждает, что сумма всех элементов (πi)∗(c1(Li)∪c1(Ni)), где (πi)∗ – ...
Added: September 3, 2026
М.: МАКС Пресс, 2026.
The book consists of materials submitted by Russian and Foreign scientists to the Organizing
Committee of the All-Russian Round Table “Logic and Paradoxes of Modern Education Manage
ment”. The round table was held at the Faculty of Sociology of Lomonosov Moscow State University
on June 08, 2026. The texts are published in author's edition. Organizing Committee`s point of ...
Added: September 2, 2026
Pochinka O., Shmukler V., / Series math.RT "arXiv:1808.06395 [math.RT]". 2026.
Anosov flows have a long and rich history, firstly motivated by the
study of geodesic flows in negative curvature surface by Anosov and Sinai.
Not every closed manifold admits an Anosov flow for well-known reasons:
the fundamental group of a 3-manifold M admitting an Anosov flow must
have exponential growth, and M must be universally covered by R3. Nevertheless,
there ...
Added: August 31, 2026
Koldanov A. P., Koldanov P., М.: Издательский дом НИУ ВШЭ, 2026.
В учебном пособии излагается одно из основных направлений одновременной проверки статистических гипотез, а именно теория построения процедур, контролирующих вероятность хотя бы одного ошибочного отвержения. Подробно излагаются первые задачи и процедуры одновременной проверки статистических гипотез, предложенные Фишером. В качестве методологической основы этой теории выбран метод замыкания, в сравнении с которым излагаются основные процедуры, контролирующие вероятность хотя ...
Added: August 30, 2026
Loubenets E. R., / Series arxiv.org "quant-ph". 2026. No. 2607.18050.
In many quantum applications it is important to know whether or not a Bell nonlocal two-qudit state exhibits its nonlocality under correlation scenarios with some given numbers S1,S2≥1 of generalized quantum measurements at two sites. In the present article, we find analytically a new general locality condition sufficient for a nonseparable Werner state with a ...
Added: July 21, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Chow polylogarithms are some special functions arising in explicit description of the Beilinson regulator map. The most interesting functional equation for this function reflects its vanishing on the boundary in the Bloch's cycle complex. We show that this functional equation formally follows from more simple ones, namely skew-symmetry, functoriality and multiplicativity.
To prove this, we study ...
Added: July 16, 2026
Bolbachan V., / Series math "arxiv.org". 2024.
Let K be a field of characteristic zero. We prove that its motivic cohomology in degree m−1 and weight m is rationally isomorphic to the cohomology of the polylogarithmic complex. This gives a partial extension of A. Suslin theorem describing the indecomposable K3 of a field. ...
Added: July 16, 2026
Panov V., Ryabchenko A., / Series arXiv "stat.ME". 2026. No. 2607.05048.
This paper investigates the problem of statistical inference for a mixture distribution consisting of a discrete and a continuous component, with a particular focus on the class of rational-infinitely divisible distributions. We consider non-parametric estimation of both components of the mixture as well as the quasi-L{é}vy measure, assuming that the mixture belongs to the class ...
Added: July 9, 2026
Ivanova A., Manina V., Новые психологические исследования 2026 № 1 С. 100–122
The article is devoted to the development and validation of the “Passion for the Profession” scale for higher education students. The relevance of the study is determined by the importance of fostering a positive attitude toward one’s future profession during the stage of professional development, as this influences academic achievement, career trajectories, and students’ psychological ...
Added: June 29, 2026
Zhdanov A., Korotayev A., Социология власти 2026 Т. 38 № 2 С. 118–167
Imagining a cosmic future touches on many topics — but typically avoids the topic of death, burial, and attitudes toward deceased ancestors. Most of these developments concern life-support systems. This article analyzes the debate between American anthropologist Elizabeth Povinelli and Russian cosmists. The subject of this debate is immortality and attitudes toward ancestors in the ...
Added: June 29, 2026
Selskiy A., Физическое воспитание и студенческий спорт 2024 Т. 3 № 3 С. 227–231
Physical education and the corresponding subject in educational programs are traditionally considered as the tools for mastering skills directly related to sport and its certain disciplines. Meanwhile, within the competency-based education approach, physical education can be understood in a much wider context, as a source of development of soft skills and even cognitive abilities. This ...
Added: June 23, 2026