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Prediction of Characteristics of Inductive Coupled Radio Frequency Discharge at Low Pressure in One-Dimensional Approximation Using Neural Network Approach
High Energy Chemistry. 2024. Vol. 58. No. Suppl. 3. P. S421–S424.
Skvortsov I. V., Shemakhin A.Y,, Danilov I. Y., Gaskova D. A.
The paper presents the results of predicting the characteristics of a inductive coupled radio frequency discharge at low pressure in a one-dimensional approximation using a perceptron. The electric and magnetic field strengths of the ICRF discharge were used as prediction characteristics. The prediction results obtained using the perceptron were compared with the model data of the ICRF discharge. The comparative results showed that the trained perceptron can be used to predict the characteristics of the ICRF discharge at those points of study where it is problematic to obtain a solution due to the convergence of mathematical models.
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
Chernyshov A., Padokhin A. M., Grach S. M. et al., Geophysical Research Letters 2026 Vol. 53 P. 1–11
This paper presents the first results of a coordinated experiment on the ionospheric plasma response to high-frequency (HF) overdense heating, conducted using the SURA heating facility and the Ionosfera-M satellite. The experiment combined ground-based observations with in situ satellite measurements, enabling a comprehensive study of artificial ionospheric disturbances. During the experiment, the SURA facility transmitted ...
Added: August 31, 2026
Chernyshov A., D. A. Dorofeev, Mogilevsky M. M. et al., JOURNAL OF GEOPHYSICAL RESEARCH-SPACE PHYSICS 2025 Vol. 130 P. 1–12
This study analyzes data from the ERG (Arase) satellite over a period of nearly 7 years (2017–2023). During this time, about 1,000 cases of hectometric continuum (HMC) radiation in near‐Earth space were detected, which made it possible to identify characteristic features on different time scales. On a daily scale, it was established that HMC is ...
Added: August 31, 2026
Mogilevsky M. M., Shaposhnikov V., Chernyshov A. et al., Physics of Plasmas 2025 Vol. 32 P. 1–10
The ERG (Arase) satellite recently discovered a non-thermal hectometric continuum with a narrowband frequency structure. The mechanism behind the generation of this type of emission in the near-Earth plasma is still unknown. This study examines the potential use of electron cyclotron harmonics instability to explain the line structure of hectometric radio emissions for the first ...
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
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
Kobtsev Danil, Albert J., Nitzan M. et al., Applied Sciences (Switzerland) 2026 Vol. 16 No. 17 Article 8577
AIVBVI semiconductors, particularly lead chalcogenides, remain key materials for mid-wave infrared (MWIR) photodetection due to their narrow bandgap and exceptional carrier transport properties. However, the realization of high-quality p-type PbTe thin films, suitable for p–n junction devices, remains a technological challenge. In this work, we report the fabrication of high-mobility p-type PbTe thin films grown on ...
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
Воронеж: Издательский дом ВГУ, 2026.
В сборник вошли материалы XXXII Международной научно-технической конференции «Радиолокация, навигация, связь» (RLNC*2026), прошедшие ре цензирование членами программного комитета конференции. Основной целью конференции является организация взаимодействия научных и научно технических коллективов для обмена опытом и новыми творческими успехами. Достижение этой цели также способствует внедрению перспективных разрабо ток, имеющих практическое значение для дальнейшего развития промышленно сти, экономики ...
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
Zaikin A., Vlasenko D., Zakharov D. et al., Diagnostics 2026 Vol. 16 No. 17 P. 1–15
Background/Objectives: Synolitic graphs (SGs) were developed for task-based fMRI, where
edge weights encode the discriminative power of pairwise regional features; whether similar
information can be recovered from resting-state data was untested. We benchmarked
SGs for autism spectrum disorder (ASD) classification using the multisite ABIDE-I dataset
(871 subjects: 403 subjects with ASD, 468 typical controls; 17 sites; CC200 atlas). Methods:
Using ...
Added: August 27, 2026
Shemakhin A.Y,, Zheltukhin V. S., Shemakhin E. Y. et al., High Energy Chemistry 2024 Vol. 58 No. 3 P. S416–S420
The calculations by mathematical model of the RF plasma flow at a pressure of 13.3–133 Pa at Knudsen Kn⩽0.1 is performed. The model is based on Navier–Stokes equations together with the continuum model for electron and metastable components of the RF plasma taking into account non-maxwellian EEDF. Results of plasma flow calculations for electrons density, distributions of ...
Added: February 26, 2026
A. Yu. Shemakhin, Plasma Physics Reports 2024 Vol. 50 No. 1 P. 89–100
The dependence of the parameters of low-pressure inductively coupled argon plasma (13.3–113 Pa) and field frequency of 13.56 MHz at the coil on the potential applied to the electrode and on gas flow rate up to 4000 sccm is numerically studied. The model is developed in the COMSOL Multiphysics environment and verified with experimental data, as ...
Added: February 25, 2026
Бояров Е. Н., Абрамова С. В., Купцова О. В. et al., Педагогика. Вопросы теории и практики 2025 Т. 10 № 5 С. 588–599
The aim of this research is to theoretically substantiate the possibility of applying a neural network approach to constructing a modern educational process in higher education. The article examines the main machine learning methods used for analyzing educational data and justifies the necessity of their implementation into the educational process. Particular attention is paid to ...
Added: December 9, 2025
Daud A., Ahmad M., Malik M. S. et al., Scientometrics 2015 Vol. 102 No. 2 P. 1687–1711
Online bibliographic databases are powerful resources for research in data mining and social network analysis especially co-author networks. Predicting future rising stars is to find brilliant scholars/researchers in co-author networks. In this paper, we propose a solution for rising star prediction by applying machine learning techniques. For classification task, discriminative and generative modeling techniques are ...
Added: November 27, 2023
Kharlamov A. A., Pilgun M., , in: XII Международная научно-техническая конференция "Нейроинформатика-2020". Сборник научных трудов". М.: МИФИ, 2020.: М.: [б.и.], 2020.
Predictive analytics of digital conflicts: a neural network approach ...
Added: January 8, 2022