232 research outputs found
Variants of a selection principle for sequences of regulated and non-regulated functions
No full textLet be a nonempty subset of \RB, a metric space with
metric and the set of all functions mapping into
. Given \vep>0 and , we denote by N(\vep,f,T) the
least upper bound of those n\in\NB, for which there exist
numbers from such that
and
d(f(s_i),f(t_i))>\vep for all (N(\vep,f,T)=0 if
there are no such 's). The following pointwise selection
principle is proved: {\em If a sequence of functions\/
is such that the closure in
of the sequence\/ is compact for each
and\/ \limsup_{j\to\infty}N(\vep,f_j,T)<\infty for all
\vep>0, then\/ contains a subsequence,
converging pointwise on to a function , such that
N(\vep,f,T)0}. We establish several
variants of this result for functions with values in a metric
semigroup and reflexive separable Banach space as well as for the
weak pointwise and almost everywhere convergence of extracted
subsequences, and comment on the necessity of conditions in the
selection principles. We show that many Helly-type pointwise
selection principles are consequences of our results, which can be
applied to sequences of non-regulated functions, and compare them
with recent results by Chistyakov [J. Math. Anal. Appl. 310
(2005) 609--625] and Chistyakov and Maniscalco [J. Math. Anal.
Appl. 341 (2008) 613--625]
A pointwise selection principle for metric semigoup valued functions
No full textLet \emptyset\neq T \subset \RB, \hspace{.1in} (X,d,+) be an additive commutative semigroup with metric satisfying for all and the set of
all functions from into . If n \in \NB and , we set , where the supremum is taken over
all numbers from such that We prove the following pointwise selection theorem: \textit{If a sequence of functions \{f_j\}_{j \in \NB} \subset X^T is such that the closure in of the set \{f_j(t)\}_{j \in \NB} is compact for each t \in T, and
then it contains a subsequence which converges pointwise on .} We show by examples that this result is sharp and present two of its variants
A comparison of three recent selection theorems
Get PDFsummary:We compare a recent selection theorem given by Chistyakov using the notion of modulus of variation, with a selection theorem of Schrader based on bounded oscillation and with a selection theorem of Di Piazza-Maniscalco based on bounded -oscillation
Dante as an “Existential Teacher”: Franco Nembrini and Fr. Georgy Chistyakov on Dante
Get PDFThe article examines the phenomenon of Dante’s impact on the modern reader. The author of the article claims that the main reason for Dante’s continuing allure despite the seven centuries that have elapsed since his day and the considerable complexity of his chef d’oeuvre Divine Comedy is the fact that he addresses all readers and their personalities, on the one hand, and the notion of the poet as a prophet and an existential teacher, on the other. The article examines the literary principles and techniques used by Dante to carry out his mission of an “existential teacher” for new generations of readers. To illustrate this thesis, the author analyzes two recent books about Dante written by the Italian pedagogue Franco Nembrini and the Russian philologist, historian and priest Fr. Georgy Chistyakov, who perceived Dante in a very similar way as an existential teacher and his Divine Comedy as an inexhaustible source of human stories and situations that help the reader to make the right choice and as a guide to life that saves one from getting lost in the “dark forest” and that remains topical in all times
Plasma Physics Reports V. 26, I. 11
No full textPlasma Physics Reports -- November 2000
Volume 26, Issue 11, pp. 917-990
TOKAMAKS
Investigation of the H-Mode during ECRH in the T-10 Tokamak
V. V. Alikaev, A. A. Borshchegovskii, V. A. Vershkov, V. V. Volkov, A. V. Gorshkov, Yu. V. Gott, S. A. Grashin, M. M. Dremin, L. G. Eliseev, Yu. V. Esipchuk, V. A. Zhuravlev, A. M. Kakurin, G. S. Kirnev, N. A. Kirneva, A. Ya. Kislov, D. A. Kislov, I. V. Klimanov, V. A. Kochin, V. A. Krupin, S. V. Krylov, A. V. Melnikov, T. B. Myalton, A. Yu. Novikov, G. E. Notkin, Yu. D. Pavlov, V. V. Piterskii, V. I. Poznyak, I. N. Roi, P. V. Savrukhin, V. V. Sannikov, S. V. Soldatov, M. M. Stepanenko, A. V. Sushkov, K. N. Tarasyan, V. M. Trukhin, E. V. Trukhina, L. N. Khimchenko, V. V. Chistyakov, and D. A. Shelukhin
pp. 917-930 Full Text: PDF (294 kB)
PLASMA OSCILLATIONS AND WAVES
Scattering of Polarized Radio Waves by Langmuir Turbulence in a Plasma in a Magnetic Field
V. V. Tirsky, V. G. Ledenev, and V. M. Tomozov
pp. 931-937 Full Text: PDF (88 kB)
Large-Angle Stimulated Raman Scattering of Short Laser Pulses in Plasma
S. Yu. Kalmykov
pp. 938-946 Full Text: PDF (161 kB)
NONLINEAR PHENOMENA
Generation of a Wakefield during Gas Ionization
N. E. Andreev, M. E. Veisman, M. G. Cadjan, and M. V. Chegotov
pp. 947-959 Full Text: PDF (179 kB)
CHARGED PLASMA
Thermodynamic Equilibrium of Pure Electron Plasmas in a Malmberg–Penning Trap
I. A. Kotelnikov, R. Pozzoli, and M. Romé
pp. 960-964 Full Text: PDF (111 kB)
PLASMA DYNAMICS
Steady-State Vortex Structure in a Plasma with a Strong Magnetic Field
A. V. Gordeev and T. V. Losseva
pp. 965-971 Full Text: PDF (91 kB)
LOW-TEMPERATURE PLASMA
Nonlocal Nature of the Electron Energy Spectrum in a Glow Discharge in Pure O2: I. Nonlocal Character of the Electron Distribution Function
V. V. Ivanov, K. S. Klopovskii, D. V. Lopaev, A. T. Rakhimov, and T. V. Rakhimova
pp. 972-979 Full Text: PDF (127 kB)
Nonlocal Nature of the Electron Energy Spectrum in a Glow-Discharge in Pure O2: II. Actinometry of O(3P) Atoms in a Plasma at Low Gas Pressures
V. V. Ivanov, K. S. Klopovskii, D. V. Lopaev, A. T. Rakhimov, and T. V. Rakhimova
pp. 980-990 Full Text: PDF (138 kB)Archived web conten
Plasma Physics Reports V. 26, I. 11
No full textdc.description[en_US]Plasma Physics Reports -- November 2000
Volume 26, Issue 11, pp. 917-990
TOKAMAKS
Investigation of the H-Mode during ECRH in the T-10 Tokamak
V. V. Alikaev, A. A. Borshchegovskii, V. A. Vershkov, V. V. Volkov, A. V. Gorshkov, Yu. V. Gott, S. A. Grashin, M. M. Dremin, L. G. Eliseev, Yu. V. Esipchuk, V. A. Zhuravlev, A. M. Kakurin, G. S. Kirnev, N. A. Kirneva, A. Ya. Kislov, D. A. Kislov, I. V. Klimanov, V. A. Kochin, V. A. Krupin, S. V. Krylov, A. V. Melnikov, T. B. Myalton, A. Yu. Novikov, G. E. Notkin, Yu. D. Pavlov, V. V. Piterskii, V. I. Poznyak, I. N. Roi, P. V. Savrukhin, V. V. Sannikov, S. V. Soldatov, M. M. Stepanenko, A. V. Sushkov, K. N. Tarasyan, V. M. Trukhin, E. V. Trukhina, L. N. Khimchenko, V. V. Chistyakov, and D. A. Shelukhin
pp. 917-930 Full Text: PDF (294 kB)
PLASMA OSCILLATIONS AND WAVES
Scattering of Polarized Radio Waves by Langmuir Turbulence in a Plasma in a Magnetic Field
V. V. Tirsky, V. G. Ledenev, and V. M. Tomozov
pp. 931-937 Full Text: PDF (88 kB)
Large-Angle Stimulated Raman Scattering of Short Laser Pulses in Plasma
S. Yu. Kalmykov
pp. 938-946 Full Text: PDF (161 kB)
NONLINEAR PHENOMENA
Generation of a Wakefield during Gas Ionization
N. E. Andreev, M. E. Veisman, M. G. Cadjan, and M. V. Chegotov
pp. 947-959 Full Text: PDF (179 kB)
CHARGED PLASMA
Thermodynamic Equilibrium of Pure Electron Plasmas in a Malmberg���Penning Trap
I. A. Kotelnikov, R. Pozzoli, and M. Rom�
pp. 960-964 Full Text: PDF (111 kB)
PLASMA DYNAMICS
Steady-State Vortex Structure in a Plasma with a Strong Magnetic Field
A. V. Gordeev and T. V. Losseva
pp. 965-971 Full Text: PDF (91 kB)
LOW-TEMPERATURE PLASMA
Nonlocal Nature of the Electron Energy Spectrum in a Glow Discharge in Pure O2: I. Nonlocal Character of the Electron Distribution Function
V. V. Ivanov, K. S. Klopovskii, D. V. Lopaev, A. T. Rakhimov, and T. V. Rakhimova
pp. 972-979 Full Text: PDF (127 kB)
Nonlocal Nature of the Electron Energy Spectrum in a Glow-Discharge in Pure O2: II. Actinometry of O(3P) Atoms in a Plasma at Low Gas Pressures
V. V. Ivanov, K. S. Klopovskii, D. V. Lopaev, A. T. Rakhimov, and T. V. Rakhimova
pp. 980-990 Full Text: PDF (138 kB)dc.description.contributor[en_US]dc.description.contributor[en_US
Maps of several variables of finite total variation. I. Mixed differences and the total variation
No full textAbstractGiven two points a=(a1,…,an) and b=(b1,…,bn) from Rn with a<b componentwise and a map f from the rectangle Iab=[a1,b1]×⋯×[an,bn] into a metric semigroup M=(M,d,+), we study properties of the total variation TV(f,Iab) of f on Iab introduced by the first author in [V.V. Chistyakov, A selection principle for mappings of bounded variation of several variables, in: Real Analysis Exchange 27th Summer Symposium, Opava, Czech Republic, 2003, pp. 217–222] such as the additivity, generalized triangle inequality and sequential lower semicontinuity. This extends the classical properties of C. Jordan's total variation (n=1) and the corresponding properties of the total variation in the sense of Hildebrandt [T.H. Hildebrandt, Introduction to the Theory of Integration, Academic Press, 1963] (n=2) and Leonov [A.S. Leonov, On the total variation for functions of several variables and a multidimensional analog of Helly's selection principle, Math. Notes 63 (1998) 61–71] (n∈N) for real-valued functions of n variables
Plasma Physics Reports V. 26, I. 12
No full textPlasma Physics Reports -- December 2000
Volume 26, Issue 12, pp. 991-1079
TOKAMAKS
Investigation of the Possibility of Exceeding the Greenwald Density Limit during ECRH in T-10
V. V. Alikaev, A. A. Borshchegovskii, V. V. Volkov, M. M. Dremin, Yu. V. Esipchuk, A. M. Kakurin, N. A. Kirneva, A. Ya. Kislov, D. A. Kislov, I. V. Klimanov, V. A. Kochin, V. A. Krupin, S. V. Krylov, T. B. Myalton, A. Yu. Novikov, G. E. Notkin, Yu. D. Pavlov, V. V. Piterskii, V. I. Poznyak, I. N. Roi, P. V. Savrukhin, M. M. Stepanenko, A. V. Sushkov, V. M. Trukhin, E. V. Trukhina, and V. V. Chistyakov
pp. 991-999 Full Text: PDF (202 kB)
ECE Measurements via B–X–O Mode Conversion: A Proposal to Diagnose the q Profile in Spherical Tokamaks
V. F. Shevchenko
pp. 1000-1004 Full Text: PDF (62 kB)
PARTICLE ACCELERATION
Effect of the Magnetic Field on the Resonant Particle Acceleration
S. V. Bulanov and A. S. Sakharov
pp. 1005-1014 Full Text: PDF (123 kB)
PLASMA OSCILLATIONS AND WAVES
Wall Plasma in a Wideband Dielectric Cherenkov Maser
G. V. Mel'nikov, A. V. Petrov, and A. S. Shlapakovski
pp. 1015-1026 Full Text: PDF (154 kB)
Investigation of Low-Frequency Waves in Plasma-Filled Microwave Oscillators
A. N. Antonov, Yu. P. Bliokh, E. A. Kornilov, O. F. Kovpik, M. G. Lubarskii, K. V. Matyash, V. O. Podobinskii, V. G. Svichenskii, and Ya. B. Fainberg
pp. 1027-1038 Full Text: PDF (245 kB)
BEAMS IN PLASMA
Nonlinear Dispersion in a Plasma with a Relativistic Electron Beam
Yu. A. Volkov and V. B. Krasovitskii
pp. 1039-1044 Full Text: PDF (88 kB)
ISOTOPE SEPARATION
An Efficient Method for Extracting Plasma Ions in Laser Isotope Separation Systems
N. S. Demidova and V. A. Mishin[dagger]
pp. 1045-1053 Full Text: PDF (139 kB)
LOW-TEMPERATURE PLASMA
Discharge Dynamics and the Production of Active Particles in a Cathode-Directed Streamer
S. V. Pancheshnyi, S. V. Sobakin, S. M. Starikovskaya, and A. Yu. Starikovskii
pp. 1054-1065 Full Text: PDF (174 kB)
Experimental Study of a Low-Pressure Glow Discharge in Air in Large-Diameter Discharge Tubes: I. Conditions for the Normal Regime of a Glow Discharge
V. A. Lisovskiy and S. D. Yakovin
pp. 1066-1075 Full Text: PDF (194 kB)
BRIEF COMMUNICATIONS
Production of C*2 Radicals in a Transverse Volume Discharge
A. K. Shuaibov, L. L. Shimon, A. I. Dashchenko, and I. V. Shevera
pp. 1076-1078 Full Text: PDF (50 kB)
NEW BOOKS
V. B. Krasovitskii, Nonlinear Regular Oscillations in Nonequilibrium Plasma and Gaseous Media (Folio, Kharkov, 2000), Vols. 1, 2
p. 1079 Full Text: PDF (12 kB)Archived web conten
JETP Letters V. 73, I. 12
No full textleave(s) : ill; 28 cm.JETP Letters -- June 25, 2001
Volume 73, Issue 12, pp. 637-687
GRAVITY, ASTROPHYSICS
Fermion Zero Modes in Painlev����Gullstrand Black Hole
G. E. Volovik
pp. 637-641 Full Text: PDF (64 kB)
FIELDS, PARTICLES, AND NUCLEI
Photon Damping Caused by Electron���Positron Pair Production in a Strong Magnetic Field
N. V. Mikheev and N. V. Chistyakov
pp. 642-646 Full Text: PDF (67 kB)
ATOMS, SPECTRA, RADIATIONS
Second Optical Harmonic Generation in Nonlinear Crystals with a Disordered Domain Structure
E. Yu. Morozov, A. A. Kaminskii, A. S. Chirkin, and D. B. Yusupov
pp. 647-650 Full Text: PDF (49 kB)
PLASMA, GASES
Generation of High-Energy Secondary Pulsed Molecular Beams
V. M. Apatin, G. N. Makarov, and V. V. Nesterov
pp. 651-654 Full Text: PDF (64 kB)
Influence of Angles of Incidence of Laser Radiation on the Generation of Fast Ions
S. Yu. Gus'kov, N. N. Demchenko, K. N. Makarov, S. G. Nishchuk, T. A. Pikuz, Yu. A. Satov, I. Yu. Skobelev, Yu. B. Smakovskii, A. Ya. Faenov, S. V. Khomenko, and B. Yu. Sharkov
pp. 655-660 Full Text: PDF (95 kB)
CONDENSED MATTER
Remanent States of Small Ferromagnetic Cylinder
V. Ternovsky, B. Luk'yanchuk, and J. P. Wang
pp. 661-665 Full Text: PDF (182 kB)
Electron Gas Compression and Coulomb Explosion in the Surface Layer of a Conductor Heated by Femtosecond Laser Pulse
S. I. Kudryashov and V. I. Emel'yanov
pp. 666-670 Full Text: PDF (79 kB)
Direct Experimental Study of the Equilibrium Diffusion of Carbon Atoms between the (100)Mo Surface and the Bulk
N. R. Gall', E. V. Rut'kov, and A. Ya. Tontegode
pp. 671-673 Full Text: PDF (42 kB)
Magnetic Moment Relaxation of a Shallow Acceptor Center in Heavily Doped Silicon
T. N. Mamedov, D. G. Andrianov, D. Herlach, V. N. Gorelkin, K. I. Gritsai, V. N. Duginov, O. Kormann, J. Major, A. V. Stoikov, and U. Zimmermann
pp. 674-677 Full Text: PDF (58 kB)
MISCELLANEOUS
Apparent Anomalous Behavior of the Power Spectrum of 1 / f Noise and Its Explanation
A. G. Budarin
pp. 678-681 Full Text: PDF (54 kB)
The Role of Causality in Ensuring the Ultimate Security of Relativistic Quantum Cryptography
S. N. Molotkov and S. S. Nazin
pp. 682-687 Full Text: PDF (71 kB)The content contained herein is maintained and curated by the Preservation Department.This record is revised and maintained by the content administrators from the Cataloging & Metadata Department
JETP Letters V. 75, I. 01
No full textJETP Letters -- January 10, 2002
Volume 75, Issue 1, pp. 1-54
GRAVITY, ASTROPHYSICS
Clusters in the Arrival Directions of 2 × 1017-eV Cosmic Rays Detected at the Yakutsk EAS Array
A. V. Glushkov
pp. 1-4 Full Text: PDF (68 kB)
FIELDS, PARTICLES, AND NUCLEI
On the Contribution of Three-Body Forces to Nd Interaction at Intermediate Energies
Yu. N. Uzikov
pp. 5-8 Full Text: PDF (71 kB)
NONLINEAR DYNAMICS
Autowaves in Double-Wire Lines with the Exponential-Type Nonlinear Active Element
V. M. Zhuravlev
pp. 9-14 Full Text: PDF (76 kB)
Giant Third-Harmonic in Porous Silicon Photonic Crystals and Microcavities
T. V. Dolgova, A. I. Maidykovski, M. G. Martemyanov, A. A. Fedyanin, and O. A. Aktsipetrov
pp. 15-19 Full Text: PDF (143 kB)
ATOMS, SPECTRA, RADIATIONS
Ion Formation upon Water Excitation by IR Laser Radiation in the Range of OH Stretching Vibrations
D. V. Klochkov, G. E. Kotkovskii, A. S. Nalobin, E. S. Tananina, and A. A. Chistyakov
pp. 20-22 Full Text: PDF (45 kB)
CONDENSED MATTER
Equation of State and Structural Phase Transition in FeBO3 at High Pressure
A. G. Gavriliuk, I. A. Trojan, R. Boehler, M. Eremets, A. Zerr, I. S. Lyubutin, and V. A. Sarkisyan
pp. 23-25 Full Text: PDF (67 kB)
Anomalous Behavior of Silver Atoms in Intercalation under a Two-Dimensional Graphite Film
N. R. Gall, E. V. Rut'kov, and A. Ya. Tontegode
pp. 26-28 Full Text: PDF (41 kB)
Cyclotron Resonance for Electrons over Helium in a Resonator
V. B. Shikin
pp. 29-33 Full Text: PDF (61 kB)
Shifting the Quantum Hall Plateau Level in a Double Layer Electron System
E. V. Deviatov, A. A. Shashkin, V. T. Dolgopolov, H.-J. Kutschera, A. Wixforth, K. L. Campman, and A. C. Gossard
pp. 34-36 Full Text: PDF (82 kB)
MISCELLANEOUS
Base Pair Dynamic Assisted Charge Transport in DNA
E. I. Kats and V. V. Lebedev
pp. 37-40 Full Text: PDF (51 kB)
SCIENTIFIC SUMMARIES
Dissipation of Strong Langmuir Turbulence in Nonisothermal non-Maxwellian Plasma
L. N. Vyacheslavov, V. S. Burmasov, I. V. Kandaurov, É. P. Kruglyakov, O. I. Meshkov, and A. L. Sanin
pp. 41-54 Full Text: PDF (192 kB)Archived web conten
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