cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
title: ÐÐµÐ¼ÐµÑÐºÐ¸Ð¹ ÑÐ·ÑÐº. Ð¯Ð·ÑÐº ÑÐµÐ³Ð¸Ð¾Ð½Ð° ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ (Ð¡Ð¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ ÐºÑÑÑ)
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÐ¾Ð³Ð´Ð°Ð½Ð¾Ð²Ð°, ÐÐ°Ð´ÐµÐ¶Ð´Ð°
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2018
Subjects: Ð½ÐµÐ¼ÐµÑÐºÐ¸Ð¹ ÑÐ·ÑÐº
Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÐºÐ°
Ð»ÐµÐºÑÐ¸ÐºÐ°
ÑÑÐµÐ±Ð½Ð¸ÐºÐ¸ Ð¸ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ Ð´Ð»Ñ Ð²ÑÐ·Ð¾Ð²

description: Ð£ÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ ÑÐ°ÑÐºÑÑÐ²Ð°ÐµÑ ÑÐ¾Ð´ÐµÑÐ¶Ð°Ð½Ð¸Ðµ ÑÑÐµÐ±Ð½Ð¾Ð¹ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½Ñ Â«ÐÐµÐ¼ÐµÑÐºÐ¸Ð¹ ÑÐ·ÑÐº. Ð¯Ð·ÑÐº ÑÐµÐ³Ð¸Ð¾Ð½Ð° ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ (Ð¡Ð¿ÐµÑÐ¸Ð°Ð»Ð¸Ð·Ð¸ÑÐ¾Ð²Ð°Ð½Ð½ÑÐ¹ ÐºÑÑÑ)Â». Ð Ð´Ð°Ð½Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ Ð²ÐºÐ»ÑÑÐµÐ½Ñ ÑÑÐµÐ±Ð½ÑÐµ Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ñ Ð¿Ð¾ Ð²ÑÐµÐ¼ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐ¼ ÑÐµÐ¼Ð°Ð¼ ÐºÑÑÑÐ° Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÐºÐ¸ Ð½ÐµÐ¼ÐµÑÐºÐ¾Ð³Ð¾ ÑÐ·ÑÐºÐ°, Ð° ÑÐ°ÐºÐ¶Ðµ Ð¿Ð¾ Ð»ÐµÐºÑÐ¸ÑÐµÑÐºÐ¸Ð¼ ÑÐµÐ¼Ð°Ð¼, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÐ¼
Ñ Ð±ÑÐ´ÑÑÐµÐ¹ Ð¿ÑÐ¾ÑÐµÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¹ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÑÑ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð². Ð£ÑÐµÐ±Ð½ÑÐµ Ð·Ð°Ð´Ð°Ð½Ð¸Ñ Ð¿Ð¾ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð½Ð°Ð²ÑÐºÐ¾Ð² ÑÑÑÐ½Ð¾Ð¹ Ð¸ Ð¿Ð¸ÑÑÐ¼ÐµÐ½Ð½Ð¾Ð¹ ÑÐµÑÐ¸, Ð¿ÐµÑÐµÐ²Ð¾Ð´Ð° Ð³ÑÐ°Ð¼Ð¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ñ
ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð¹ Ñ Ð½ÐµÐ¼ÐµÑÐºÐ¾Ð³Ð¾ ÑÐ·ÑÐºÐ°, ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð½ÑÐµ Ð½Ð° Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ðµ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐµÐºÑÑÐ¾Ð², Ð¼Ð¾Ð³ÑÑ ÑÐ»ÑÐ¶Ð¸ÑÑ ÐºÐ°Ðº Ð´Ð»Ñ Ð°ÑÐ´Ð¸ÑÐ¾ÑÐ½ÑÑ Ð·Ð°Ð½ÑÑÐ¸Ð¹, ÑÐ°Ðº Ð¸ Ð´Ð»Ñ ÑÐ°Ð¼Ð¾ÑÑÐ¾ÑÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÑ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð².
ÐÐ¾ÑÐ¾Ð±Ð¸Ðµ Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ Ð´Ð»Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð², Ð¾Ð±ÑÑÐ°ÑÑÐ¸ÑÑÑ Ð¿Ð¾ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾ÑÑÐ¸ Â«ÐÐ°ÑÑÐ±ÐµÐ¶Ð½Ð¾Ðµ ÑÐµÐ³Ð¸Ð¾Ð½Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ðµ: ÐÐ±ÑÐ¸Ð¹ Ð¿ÑÐ¾ÑÐ¸Ð»ÑÂ» Ð¿Ð¾ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Â«ÐÐ²ÑÐ¾Ð¿ÐµÐ¹ÑÐºÐ¸Ðµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: ÐÐµÑÐ¼Ð°Ð½Ð¸ÑÂ».
Fine-tuned Spin-3/2 and the Hierarchy Problem
Creators: name: Sargın, Ozan
Publisher: name: arXiv
Year: 2019
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: In the past, Kundu et al. and Chakraborty et al. used extra scalar fields to cancel the quadratic divergences in the Higgs mass squared and they determined the mass of the required scalar field. In this work, a spin-3/2 particle has been used in the same manner to nullify the power-law divergences and it is determined that the mass of the spin-3/2 particle resides in the ball park of the GUT scale.
description: 10 pages, 1 figure
The Broadband Infrared Emission Spectrum of the Exoplanet TrES-3
Creators: name: Fressin, Francois
name: Knutson, Heather A.
name: Charbonneau, David
name: O'Donovan, Francis T.
name: Burrows, Adam
name: Deming, Drake
name: Mandushev, Georgi
name: Spiegel, David
Publisher: name: arXiv
Year: 2009
Subjects: subject: Earth and Planetary Astrophysics (astro-ph.EP)
subject: FOS: Physical sciences

description: We use the Spitzer Space Telescope to estimate the dayside thermal emission of the exoplanet TrES-3 integrated in the 3.6, 4.5, 5.8, and 8.0 micron bandpasses of the Infrared Array Camera (IRAC) instrument. We observe two secondary eclipses and find relative eclipse depths of 0.00346 +/- 0.00035, 0.00372 +/- 0.00054, 0.00449 +/- 0.00097, and 0.00475 +/- 0.00046, respectively in the 4 IRAC bandpasses. We combine our results with the earlier K band measurement of De Mooij et al. (2009), and compare them with models of the planetary emission. We find that the planet does not require the presence of an inversion layer in the high atmosphere. This is the first very strongly irradiated planet that does not have a temperature inversion, which indicates that stellar or planetary characteristics other than temperature have an important impact on temperature inversion. De Mooij & Snellen (2009) also detected a possible slight offset in the timing of the secondary eclipse in K band. However, based on our 4 Spitzer channels, we place a 3sigma upper limit of |ecos(w)| < 0.0056 where e is the planets orbital eccentricity and w is the longitude of the periastron. This result strongly indicates that the orbit is circular, as expected from tidal circularization theory.
description: Accepted by ApJ
Representation theory of the higher order peak algebras
Creators: name: Novelli, Jean-Christophe
name: Saliola, Franco
name: Thibon, Jean-Yves
Publisher: name: arXiv
Year: 2009
Subjects: subject: Combinatorics (math.CO)
subject: Representation Theory (math.RT)
subject: FOS: Mathematics

description: The representation theory (idempotents, quivers, Cartan invariants and Loewy series) of the higher order unital peak algebras is investigated. On the way, we obtain new interpretations and generating functions for the idempotents of descent algebras introduced in [F. Saliola, J. Algebra 320 (2008) 3866.]
description: 30 pages
title: Ð£Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐºÐ°Ð¼Ð¸ Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
Creators: name: ÐÐ¸ Ð¦Ð·ÑÐ¶Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2018
Subjects: ÐÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½ÑÐµ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ
ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ ÑÐ¸ÑÐºÐ°Ð¼Ð¸
Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ
Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¿ÑÐ¾ÐµÐºÑÑ

description: ÐÐ±ÑÐµÐºÑ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ³Ð¾ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ â Ð°Ð²ÑÐ¾Ð¼Ð¾Ð±Ð¸Ð»ÑÐ½Ð°Ñ ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ñ Â«DERWAYSÂ» (Â«ÐÐµÑÐ²ÐµÐ¹ÑÂ»). Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ Ð·Ð°ÐºÐ»ÑÑÐ°ÐµÑÑÑ Ð² ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÐµÐºÑÐ° Ð¿Ð¾ ÑÐ°ÑÑÐ¸ÑÐµÐ½Ð¸Ñ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²ÐµÐ½Ð½Ð¾Ð¹ Ð±Ð°Ð·Ñ ÐÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸ Â«ÐÐµÑÐ²ÐµÐ¹ÑÂ» Ð² ÑÐµÐ»ÑÑ ÑÐ¾Ð²Ð¼ÐµÑÑÐ½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´ÑÑÐ²Ð° Ð³Ð¸Ð±ÑÐ¸Ð´Ð½ÑÑ Ð°Ð²ÑÐ¾ Ñ ÐºÐ¸ÑÐ°Ð¹ÑÐºÐ¾Ð¹ Ð°Ð²ÑÐ¾Ð¼Ð¾Ð±Ð¸Ð»ÑÐ½Ð¾Ð¹ ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸ÐµÐ¹ Â«GeelyÂ», Ð° ÑÐ°ÐºÐ¶Ðµ Ð² Ð¿ÑÐ¾Ð²ÐµÐ´ÐµÐ½Ð¸Ð¸ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¾Ð¹ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸, ÑÐ¸Ð½Ð°Ð½ÑÐ¾Ð²Ð¾Ð¹ ÑÐ¾ÑÑÐ¾ÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐ¾ÐµÐºÑÐ° Ð¸ ÐµÐ³Ð¾ ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÐ¸ Ðº Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÐ¼ ÑÐ¸ÑÐºÐ°Ð¼.
(Quasi-)Hamiltonian manifolds of cohomogeneity one
Creators: name: Knop, Friedrich
name: Paulus, Kay
Publisher: name: arXiv
Year: 2019
Subjects: subject: Symplectic Geometry (math.SG)
subject: Algebraic Geometry (math.AG)
subject: Differential Geometry (math.DG)
subject: Representation Theory (math.RT)
subject: FOS: Mathematics
subject: 53D20, 57S25, 14M27

description: We classify compact, connected Hamiltonian and quasi-Hamiltonian manifolds of cohomogeneity one (which is the same as being multiplicity free of rank one). Here the group acting is a compact connected Lie group (simply connected in the quasi-Hamiltonian case). This work is a concretization of the more general classification (arXiv:1612.03843) of multiplicity free manifolds in the special case of rank one. As a result we obtain numerous new concrete examples of multiplicity free quasi-Hamiltonian manifolds or, equivalently, Hamiltonian loop group actions.
description: v1: 24 pages, this paper replaces arXiv:1712.09036; v2: 26 pages, minor changes; v3: 25 pages, final version
How clustering affects the bond percolation threshold in complex networks
Creators: name: Gleeson, James P.
name: Melnik, Sergey
name: Hackett, Adam
Publisher: name: arXiv
Year: 2009
Subjects: subject: Statistical Mechanics (cond-mat.stat-mech)
subject: Disordered Systems and Neural Networks (cond-mat.dis-nn)
subject: Physics and Society (physics.soc-ph)
subject: FOS: Physical sciences

description: The question of how clustering (non-zero density of triangles) in networks affects their bond percolation threshold has important applications in a variety of disciplines. Recent advances in modelling highly-clustered networks are employed here to analytically study the bond percolation threshold. In comparison to the threshold in an unclustered network with the same degree distribution and correlation structure, the presence of triangles in these model networks is shown to lead to a larger bond percolation threshold (i.e. clustering \emph{increases} the epidemic threshold or \emph{decreases} resilience of the network to random edge deletion).
description: 10 pages, 4 figures. Added new Appendix D, updated figures.
Search for leptonic decays of D0 mesons
Creators: name: Petrič, M.
name: Starič, M.
Publisher: name: arXiv
Year: 2010
Subjects: subject: High Energy Physics - Experiment (hep-ex)
subject: FOS: Physical sciences

description: We search for the flavor-changing neutral current decays D0\to mu+mu- and D0\to e+e-, and for the lepton-flavor violating decays D0\to e\pm mu\mp using 660 fb^-1 of data collected with the Belle detector at the KEKB asymmetric-energy e+e- collider. We find no evidence for any of these decays. We obtain significantly improved upper limits on the branching fractions: B(D0\to mu+mu-)<1.4x10-7, B(D0\to e+e-)<7.9x10-8, and B(D0\to e+mu-)+B(D0\to mu+e-)<2.6x10-7 at 90% confidence level.
description: 6 pages, 3 figures
A non-local reduction principle for cocycles in Hilbert spaces
Creators: name: Anikushin, Mikhail
Publisher: name: arXiv
Year: 2019
Subjects: subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 37B55

description: We study cocycles (non-autonomous dynamical systems) satisfying a certain squeezing condition with respect to the quadratic form of a bounded self-adjoint operator acting in a Hilbert space. We prove that (under additional assumptions) the orthogonal projector maps the fibres of some invariant set, containing bounded trajectories, in a one-to-one manner onto the negative subspace of the operator. This allows to reduce interesting dynamics onto this invariant set, which in some cases can be considered as a kind of inertial manifold for the cocycle. We consider applications of the reduction principle for periodic cocycles. For such cocycles we give an extension of the Massera second theorem, obtain the conditions for the existence of a Lyapunov stable periodic trajectory and prove convergence-type results, which we apply to study nonlinear periodic in time delayed-feedback equations posed in a proper Hilbert space and parabolic problems with a nonlinear periodic in time boundary control. The required operator is obtained as a solution to certain operator inequalities with the use of the Yakubovich-Likhtarnikov frequency theorem for $C_{0}$-semigroups and its properties are established from the Lyapunov inequality and dichotomy of the linear part of the problem.
How the desire to be alone is associated with physical and digital solitude: exploring temporal associations and daily influence on well-being.
Creators: name: Fernández, Aurelio
name: Abeele, Mariek Vanden
name: Weinstein, Netta
name: Murphy, Stephen Lee
Publisher: name: OSF Registries
Year: 2024
Subjects: subject: Communication
subject: Social Psychology
subject: Interpersonal and Small Group Communication
subject: Social and Behavioral Sciences
subject: Psychology
subject: FOS: Psychology
subject: Ecological Momentary Assessment
subject: Experience Sampling Methods
subject: Smartphone logged data
subject: Solitude

description: With this study we aim to explore how the desire to be alone is associated with both physical and digital solitude. First, we will explore how the desire to be alone is temporarily associated with physical and digital solitude. Then, we will explore direct and indirect (through physical and digital solitude) associations between the desire to be alone and daily outcomes (sadness, loneliness, relaxation, and satisfaction). In the main models we will explore digital solitude considering the use of smartphones for interacting purposes, in secondary and exploratory models we will explore digital solitude including the use of social media as well as the overall use of smartphones.
title: ÐÐ¸ÑÐ¾Ð¼ÐµÑÐ°Ð»Ð»ÑÑÐ³Ð¸Ñ ÑÑÐ¶ÐµÐ»ÑÑ ÑÐ²ÐµÑÐ½ÑÑ Ð¼ÐµÑÐ°Ð»Ð»Ð¾Ð². ÐÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð·Ð°Ð½ÑÑÐ¸Ñ
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÐ¾Ð¿Ð¾Ð², ÐÐ³Ð¾ÑÑ
name: Ð¡ÑÐ°ÑÑÑ, Ð Ð¾Ð¼Ð°Ð½
Publisher: name: ÐÐ·Ð´-Ð²Ð¾ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½. ÑÐ½-ÑÐ°
Year: 2013
Subjects: Ð¦Ð²ÐµÑÐ½Ð°Ñ Ð¼ÐµÑÐ°Ð»Ð»ÑÑÐ³Ð¸Ñ

description: Ð Ð¿Ð¾ÑÐ¾Ð±Ð¸Ð¸ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ñ ÑÑÐºÐ¾Ð²Ð¾Ð´ÑÑÐ²Ð° Ð¿Ð¾ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÐºÑÑÑÐ¾Ð²ÑÑ ÑÐ°ÑÑÐµÑÐ½ÑÑ ÑÐ°Ð±Ð¾Ñ Ð´Ð»Ñ Ð´Ð²ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð¿ÐµÑÐµÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÑÐ»ÑÑÐ¸Ð´Ð½ÑÑ Ð¼ÐµÐ´Ð½ÑÑ ÑÑÐ´Ð½ÑÑ ÐºÐ¾Ð½ÑÐµÐ½ÑÑÐ°ÑÐ¾Ð² Ð½Ð° ÑÑÐµÐ¹Ð½: - Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÐºÐ¾Ð¼Ð±Ð¸Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð½Ð¾Ð¹ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ð¸ (Ð¾Ð±Ð¶Ð¸Ð³-Ð¿Ð»Ð°Ð²ÐºÐ°); Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ Ð°Ð²ÑÐ¾Ð³ÐµÐ½Ð½Ð¾Ð¹ Ð¿Ð»Ð°Ð²ÐºÐ¸ Ð²Ð¾ Ð²Ð·Ð²ÐµÑÐµÐ½Ð½Ð¾Ð¼ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ð¸. Ð Ð°ÑÑÐµÑÐ½ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð²ÐºÐ»ÑÑÐ°ÑÑ ÑÐ°ÑÑÐµÑÑ ÑÐ¸ÑÑÑ, Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ðµ ÑÑÐ°ÑÐµÐ¹Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ð³Ð¾ Ð±Ð°Ð»Ð°Ð½ÑÐ¾Ð², ÑÐ´ÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐ¾Ð´Ð° ÑÐ¾Ð¿Ð»Ð¸Ð²Ð° Ð¸ ÐºÐ¸ÑÐ»Ð¾ÑÐ¾Ð´Ð° . Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¾ÑÐµÑÑÐ¾Ð², Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¸ Ð¿Ð¾Ð»ÑÑÐµÐ½Ð¸Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð²Ð¸ÑÐ¸Ð¼Ð¾ÑÑÐµÐ¹.Ð Ð·Ð°ÐºÐ»ÑÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÐ°ÑÑÐ¸ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½Ñ Ð·Ð°Ð´Ð°ÑÐ¸ Ð¸ ÑÐ¿ÑÐ°Ð¶Ð½ÐµÐ½Ð¸Ñ Ð´Ð»Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð½ÑÑÐ¸Ð¹ Ð¿Ð¾ ÐºÑÑÑÑ Â«ÐÐ¸ÑÐ¾Ð¼ÐµÑÐ°Ð»Ð»ÑÑÐ³Ð¸Ñ ÑÑÐ¶ÐµÐ»ÑÑ ÑÐ²ÐµÑÐ½ÑÑ Ð¼ÐµÑÐ°Ð»Ð»Ð¾Ð²Â».
description: ÐÐµÑÐ°ÑÐ°ÐµÑÑÑ Ð¿Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÐ´Ð°ÐºÑÐ¸Ð¾Ð½Ð½Ð¾-Ð¸Ð·Ð´Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð³Ð¾ ÑÐ¾Ð²ÐµÑÐ° Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð³Ð¾ Ð³Ð¾ÑÑÐ´Ð°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°.
Young's modulus of Graphene: a molecular dynamics study
Creators: name: Jiang, Jin-Wu
name: Wang, Jian-Sheng
name: Li, Baowen
Publisher: name: arXiv
Year: 2009
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: The Young's modulus of graphene is investigated through the intrinsic thermal vibration in graphene which is `observed' by molecular dynamics, and the results agree quite well with the recent experiment [Science \textbf{321}, 385 (2008)]. This method is further applied to show that the Young's modulus of graphene: 1. increases with increasing size and saturation is reached after a threshold value of the size; 2. increases from 0.95 TPa to 1.1 TPa as temperature increases in the region [100, 500]K; 3. is insensitive to the isotopic disorder in the low disorder region ($< 5%$), and decreases gradually after further increasing the disorder percentage.
description: accepted by PRB, brief report, discussion on Poisson ratio added
title: ÐÐ½Ð°Ð»Ð¸Ð· Ð¸ Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¾Ð±Ð¾ÑÐ¾ÑÐ° Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¹ Ð² ÑÑÐµÑÐµ ÑÐ¾Ð²Ð°ÑÐ½Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ°ÑÐµÐ½Ð¸Ñ
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: Ð¨Ð°Ð¿ÑÑÐ½ÑÐºÐ°Ñ, Ð¡Ð²ÐµÑÐ»Ð°Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: ÑÐ¾Ð²Ð°ÑÐ¾Ð±Ð¾ÑÐ¾Ñ
ÑÐ¾Ð·Ð½Ð¸ÑÐ½Ð°Ñ ÑÐ¾ÑÐ³Ð¾Ð²Ð»Ñ
Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
trade turnover
retail sale
planning

description: Ð ÑÐ°Ð±Ð¾ÑÐµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð¼ÐµÑÐ¾Ð´Ñ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¸ Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÐÐÐ Â«ÐÐ¸ÑÐ°ÑÐ°ÑÐ¼Â». ÐÑÐ¾Ð²ÐµÐ´ÐµÐ½ Ð°Ð½Ð°Ð»Ð¸Ð· Ð¸ Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ Ð¿Ð¾ÐºÐ°Ð·Ð°ÑÐµÐ»ÐµÐ¹ ÑÐ¾Ð·ÑÐ¹ÑÑÐ²ÐµÐ½Ð½Ð¾Ð¹ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð¾Ð±Ð¾ÑÐ¾ÑÐ° ÑÐ¾Ð·Ð½Ð¸ÑÐ½Ð¾Ð¹ ÑÐ¾ÑÐ³Ð¾Ð²Ð»Ð¸. Ð Ð°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÐµ Ð¿ÑÑÐ¸ ÑÐ²ÐµÐ»Ð¸ÑÐµÐ½Ð¸Ñ ÑÐ¾Ð²Ð°ÑÐ¾Ð¾Ð±Ð¾ÑÐ¾ÑÐ° Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ Â«ÐÐ¸ÑÐ°ÑÐ°ÑÐ¼Â».
description: The paper discusses the methods of analysis and planning of "Vitafarm". The analysis and planning of indicators of economic activities of retail trade turnover "Vitafarm" Possible ways to increase the turnover of the enterprise.
LinearPartition: Linear-Time Approximation of RNA Folding Partition Function and Base Pairing Probabilities
Creators: name: Zhang, He
name: Zhang, Liang
name: Mathews, David H.
name: Huang, Liang
Publisher: name: arXiv
Year: 2019
Subjects: subject: Biomolecules (q-bio.BM)
subject: Data Structures and Algorithms (cs.DS)
subject: Biological Physics (physics.bio-ph)
subject: Quantitative Methods (q-bio.QM)
subject: FOS: Biological sciences
subject: FOS: Computer and information sciences
subject: FOS: Physical sciences

description: RNA secondary structure prediction is widely used to understand RNA function. Recently, there has been a shift away from the classical minimum free energy (MFE) methods to partition function-based methods that account for folding ensembles and can therefore estimate structure and base pair probabilities. However, the classical partition function algorithm scales cubically with sequence length, and is therefore a slow calculation for long sequences. This slowness is even more severe than cubic-time MFE-based methods due to a larger constant factor in runtime. Inspired by the success of our recently proposed LinearFold algorithm that predicts the approximate MFE structure in linear time, we design a similar linear-time heuristic algorithm, LinearPartition, to approximate the partition function and base pairing probabilities, which is shown to be orders of magnitude faster than Vienna RNAfold and CONTRAfold (e.g., 2.5 days vs. 1.3 minutes on a sequence with length 32,753 nt). More interestingly, the resulting base pairing probabilities are even better correlated with the ground truth structures. LinearPartition also leads to a small accuracy improvement when used for downstream structure prediction on families with the longest length sequences (16S and 23S rRNA), as well as a substantial improvement on long-distance base pairs (500+ nt apart).
description: 12 pages main text (10 figures); 6 pages SI (7 figures). Bioinformatics, July 2020 (Proceedings of ISMB 2020)
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÐºÐ¾ÑÐ¿Ð¾ÑÐ°ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ ÐºÐ¾Ð½ÑÑÐ¾Ð»Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐ¸ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð²
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
Creators: name: Ð¥Ð¾Ð»Ð¸Ð½, ÐÐ½ÑÐ¾Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2018
Subjects: ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ
ÐÐµÐ»ÐµÐ·Ð½Ð¾Ð´Ð¾ÑÐ¾Ð¶Ð½ÑÐ¹ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑ
ÐÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÑ

description: ÐÐ±ÑÐµÐºÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ: Ð¼ÐµÑÐ¾Ð´Ñ ÑÐ°ÑÑÐµÑÐ° Ð¼Ð°ÑÑÑ Ð¸ Ð¾Ð±ÑÐµÐ¼Ð° Ð³ÑÑÐ·Ð° Ð¿ÑÐ¸ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐµ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð² Ð¶ÐµÐ»ÐµÐ·Ð½Ð¾Ð´Ð¾ÑÐ¾Ð¶Ð½ÑÐ¼ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¾Ð¼.
Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ: Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸Ðµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð² ÑÐ°ÑÑÐµÑÐ° Ð¼Ð°ÑÑÑ Ð¸ Ð¾Ð±ÑÐµÐ¼Ð° Ð³ÑÑÐ·Ð° Ð¿ÑÐ¸ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐµ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð² Ð¶ÐµÐ»ÐµÐ·Ð½Ð¾Ð´Ð¾ÑÐ¾Ð¶Ð½ÑÐ¼ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¾Ð¼ Ð¿ÑÐ¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ ÐºÐ¾ÑÐ¿Ð¾ÑÐ°ÑÐ¸Ð²Ð½Ð¾Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ ÐºÐ¾Ð½ÑÑÐ¾Ð»Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐ¸ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð².
ÐÐ°Ð³Ð¸ÑÑÐµÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ° ÑÐ¾ÑÑÐ¾Ð¸Ñ Ð¸Ð· ÑÑÐµÑ Ð³Ð»Ð°Ð². ÐÐµÑÐ²Ð°Ñ Ð³Ð»Ð°Ð²Ð° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° Ð¾Ð±Ð·Ð¾ÑÑ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð², ÑÑÐ½ÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ ÐºÐ¾Ð½ÑÑÐ¾Ð»Ñ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð¸ ÐºÐ¾Ð»Ð¸ÑÐµÑÑÐ²Ð° Ð³ÑÑÐ·Ð° Ð¿ÑÐ¸ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐµ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð². ÐÐ¾ Ð²ÑÐ¾ÑÐ¾Ð¹ Ð³Ð»Ð°Ð²Ðµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¢Ð Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² ÑÐ¸ÑÑÐµÐ¼Ñ ÐºÐ¾Ð½ÑÑÐ¾Ð»Ñ ÑÑÐ°Ð½ÑÐ¿Ð¾ÑÑÐ¸ÑÐ¾Ð²ÐºÐ¸ Ð½ÐµÑÑÐ¸ Ð¸ Ð½ÐµÑÑÐµÐ¿ÑÐ¾Ð´ÑÐºÑÐ¾Ð². Ð¢ÑÐµÑÑÑ Ð³Ð»Ð°Ð²Ð° ÑÐ¾Ð´ÐµÑÐ¶Ð¸Ñ Ð¿ÑÐ°ÐºÑÐ¸ÑÐµÑÐºÑÑ ÑÐ°ÑÑÑ ÑÐ°Ð±Ð¾ÑÑ, Ð³Ð´Ðµ ÑÑÐµÐ´ÑÑÐ²Ð°Ð¼Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ ÑÐµÑÐ°ÐµÑÑÑ Ð·Ð°Ð´Ð°ÑÐ° Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¸ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð¿ÑÐ¸ Ð¿ÐµÑÐµÐ²Ð¾Ð·ÐºÐµ Ð½ÐµÑÑÐ¸.
Stable concordance of knots in 3-manifolds
Creators: name: Schneiderman, Rob
Publisher: name: arXiv
Year: 2008
Subjects: subject: Geometric Topology (math.GT)
subject: FOS: Mathematics
subject: 57M27; 57M99

description: Knots and links in 3-manifolds are studied by applying intersection invariants to singular concordances. The resulting link invariants generalize the Arf invariant, the mod 2 Sato-Levine invariants, and Milnor's triple linking numbers. Besides fitting into a general theory of Whitney towers, these invariants provide obstructions to the existence of a singular concordance which can be homotoped to an embedding after stabilization by connected sums with $S^2\times S^2$. Results include classifications of stably slice links in orientable 3-manifolds, stable knot concordance in products of an orientable surface with the circle, and stable link concordance for many links of null-homotopic knots in orientable 3-manifolds.
description: 59 pages, 28 figures
title: ÐÑÐ½Ð¾Ð²Ñ ÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÐ½. 2
title: ÑÐ¿ÑÐ°Ð²Ð¾ÑÐ½Ð¾-Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÑÐ»Ð¾Ð², ÐÐ°Ð²ÐµÐ»
Publisher: name: ÐÐ°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ
Year: 1988
Subjects: ÐÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ (Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑ.)

description: ÐÐ¾ 2-Ð¹ ÐºÐ½Ð¸Ð³Ðµ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½Ñ Ð¾ÑÐ½Ð¾Ð²Ñ ÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð°ÑÐ½ÑÑ, Ð·Ð°ÐºÐ»ÐµÐ¿Ð¾ÑÐ½ÑÑ,
ÑÐ¿Ð¾Ð½Ð¾ÑÐ½ÑÑ, ÑÐ»Ð¸ÑÐµÐ²ÑÑ, ÐºÑÐµÐ¿ÐµÐ¶Ð½ÑÑ ÑÐ¾ÐµÐ´Ð¸Ð½ÐµÐ½Ð¸Ð¹, ÑÐ¾ÐµÐ´Ð¸Ð½ÐµÐ½Ð¸Ð¹ Ð¿Ð»Ð°ÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹
Ð´ÐµÑÐ¾ÑÐ¼Ð°ÑÐ¸ÐµÐ¹, Ð¿Ð¾Ð´ÑÐ¸Ð¿Ð½Ð¸ÐºÐ¾Ð² ÑÐºÐ¾Ð»ÑÐ¶ÐµÐ½Ð¸Ñ Ð¸ ÐºÐ°ÑÐµÐ½Ð¸Ñ, ÑÐ¿Ð¾ÑÐ½ÑÑ Ð¿Ð¾Ð´ÑÐ¸Ð¿Ð½Ð¸ÐºÐ¾Ð²,
ÑÑÐ¾Ð¿Ð¾ÑÐ½ÑÑ ÐºÐ¾Ð»ÐµÐ½ Ð¸ Ð´Ñ. ÐÐ¾Ð¿ÑÐ¾ÑÑ ÐºÐ¾Ð½ÑÑÑÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½Ñ Ñ ÑÑÐµÑÐ¾Ð¼
ÑÐ²Ð¾Ð¹ÑÑÐ² Ð¼Ð°ÑÐµÑÐ¸Ð°Ð»Ð¾Ð², ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ð¸ Ð¸Ð·Ð³Ð¾ÑÐ¾Ð²Ð»ÐµÐ½Ð¸Ñ, ÑÐ±Ð¾ÑÐºÐ¸, ÑÐ½Ð¸Ð¶ÐµÐ½Ð¸Ñ Ð¼ÐµÑÐ°Ð»Ð»Ð¾ÐµÐ¼ÐºÐ¾ÑÑÐ¸ Ð¸ ÑÐ´Ð¾Ð±ÑÑÐ²Ð° ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ°ÑÐ¸Ð¸. 3-Ðµ Ð¸Ð·Ð´Ð°Ð½Ð¸Ðµ (2-Ðµ Ð¸Ð·Ð´. 1977 Ð³.) Ð¸ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¾ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ð¸ Ñ Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ð¼Ð¸ ÐÐÐ¡Ð¢Ð°Ð¼Ð¸ Ð¸ Ð½Ð¾ÑÐ¼Ð°ÑÐ¸Ð²Ð½ÑÐ¼Ð¸ Ð´Ð¾ÐºÑÐ¼ÐµÐ½ÑÐ°Ð¼Ð¸. ÐÐ»Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¾ÑÐ¾Ð²-Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾Ð¸ÑÐµÐ»ÐµÐ¹, Ð° ÑÐ°ÐºÐ¶Ðµ Ð±ÑÐ´ÐµÑ Ð¿Ð¾Ð»ÐµÐ·Ð½Ð¾ ÑÑÑÐ´ÐµÐ½ÑÐ°Ð¼ Ð²ÑÑÐ·Ð¾Ð².
Frequency theorem and inertial manifolds for neutral delay equations
Creators: name: Anikushin, Mikhail
Publisher: name: arXiv
Year: 2020
Subjects: subject: Optimization and Control (math.OC)
subject: Dynamical Systems (math.DS)
subject: FOS: Mathematics
subject: 37L15, 37L25, 34K14, 34K35

description: We study the quadratic regulator problem for linear control systems in Hilbert spaces, where the cost functional is in some sense unbounded. Our motivation comes from delay equations with the feedback part containing discrete delays or, in other words, measurements given by $δ$-functionals, which are unbounded in $L_{2}$. Working in an abstract context in which such (and many others, including parabolic boundary control problems) equations can be treated, we obtain a version of the Frequency Theorem (following the works of V.A. Yakubovich and A.L. Likhtarnikov), which guarantees the existence of a unique optimal process and shows that the optimal cost is given by a quadratic Lyapunov-like functional. In our adjacent works it is shown that such functionals can be used to construct inertial manifolds and allow to treat and extend many works in the field in a unified manner. Here we concentrate on applications to delay equations and especially mention the works of R.A. Smith on developments of convergence theorems and the Poincaré-Bendixson theory; Yu. A. Ryabov, R.D. Driver and C. Chicone on inertial manifolds for equations with small delays and their recent generalization for equations of neutral type given by S. Chen and J. Shen.
Nonlinear semigroups for delay equations in Hilbert spaces, inertial manifolds and dimension estimates
Creators: name: Anikushin, Mikhail
Publisher: name: arXiv
Year: 2020
Subjects: subject: Dynamical Systems (math.DS)
subject: Analysis of PDEs (math.AP)
subject: FOS: Mathematics
subject: 34K05, 47H20, 37L05, 37L25, 35B42

description: We study the well-posedness of nonautonomous nonlinear delay equations in $\mathbb{R}^{n}$ as evolutionary equations in a proper Hilbert space. We present a construction of solving operators (nonautonomous case) or nonlinear semigroups (autonomous case) for a large class of such equations. The main idea can be easily extended for certain PDEs with delay. Our approach has lesser limitations and much more elementary than some previously known constructions of such semigroups and solving operators based on the theory of accretive operators. In the autonomous case we also study differentiability properties of these semigroups in order to apply various dimension estimates using the Hilbert space geometry. However, obtaining effective dimension estimates for delay equations is a nontrivial problem and we explain it by means of a scalar delay equation. We also discuss our adjacent results concerned with inertial manifolds and their construction for delay equations.
title: ÐÐ²Ð°Ð´ÑÐ°ÑÐ½Ð°Ñ ÐÑÐ½Ð°. ÐÐ½Ð¸Ð³Ð° Ð¾ Ð²ÐµÑÐ½Ð¾Ð¼ Ð±ÑÐ´ÑÑÐµÐ¼
Creators: name: ÐÑÐ¾Ð»Ñ, ÐÐµÐ¾Ð½Ð¸Ð´
Publisher: name: ÐÐ·Ð´-Ð²Ð¾ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½. ÑÐ½-ÑÐ°
Year: 2017

description: Â«Ð Ð½Ð¾ÑÑ Ð¿Ð¾Ð»Ð½Ð¾Ð¹ ÐÑÐ½Ñ, ÑÐ¾Ð²Ð¿Ð°Ð´Ð°ÑÑÐµÐ¹ Ñ ÐµÐµ Ð·Ð°ÑÐ¼ÐµÐ½Ð¸ÐµÐ¼, Ð² ÑÐµÐ´ÐºÐ¸Ñ Ð¾ÑÐ¾Ð±ÑÑ ÑÐ»ÑÑÐ°ÑÑ Ð¼Ñ Ð´ÐµÐ¹ÑÑÐ²Ð¸ÑÐµÐ»ÑÐ½Ð¾ Ð¼Ð¾Ð¶ÐµÐ¼ Ð½Ð°Ð±Ð»ÑÐ´Ð°ÑÑ Ð¾ÑÐµÐ¾Ð» Ð±Ð»ÐµÐ´Ð½Ð¾Ð³Ð¾ Ð»ÑÐ½Ð½Ð¾Ð³Ð¾ ÐºÐ²Ð°Ð´ÑÐ°ÑÐ°, Ð² ÐºÐ¾ÑÐ¾ÑÑÐ¹ Ð²Ð¿Ð¸ÑÐ°Ð½Ð° Ð¿ÑÐ¸Ð²ÑÑÐ½Ð°Ñ ÐÑÐ½Ð°, Ð½Ð°ÐºÑÑÑÐ°Ñ ÑÐµÐ½ÑÑ ÐÐµÐ¼Ð»Ð¸. Ð­ÑÐ¾Ñ Ð¾ÑÐµÐ¾Ð» Ð¾Ð±Ð½Ð°ÑÑÐ¶Ð¸Ð²Ð°ÐµÑ Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½Ð¾Ðµ Ð½Ð°Ð¼ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð¾ ÐÑÐ½Ñ, Ð° Ð¸Ð¼ÐµÐ½Ð½Ð¾, ÐºÑÐ±Ð¸ÑÐ½Ð¾ÑÑÑ ÐµÐµ Ð½ÐµÐ²Ð¸Ð´Ð¸Ð¼Ð¾Ð¹ ÑÐ¾ÑÐ¼Ñ, ÐºÐ°Ðº Ð¾Ð¿Ð¿Ð¾Ð·Ð¸ÑÐ¸Ñ Ð²Ð¸Ð´Ð¸Ð¼Ð¾Ð¹Â». Ð ÑÐ°ÐºÐ¾Ð²Ð° ÑÑÐ° ÐºÐ½Ð¸Ð³Ð° - Ð±ÑÐ´ÑÑÐ¸ ÑÐ±Ð¾ÑÐ½Ð¸ÐºÐ¾Ð¼ Ð½ÐµÐ½Ð°ÑÑÐ½ÑÑ ÑÐ°ÑÑÐºÐ°Ð·Ð¾Ð², Ð²ÑÐ´ÑÐ¼Ð¾Ðº, Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¹ Ð¸ Ð·Ð°Ð³Ð°Ð´Ð¾Ðº, Ð¾Ð½Ð° Ð¿ÑÐ¸Ð¾ÑÐºÑÑÐ²Ð°ÐµÑ Ð½ÐµÐ¸Ð·Ð²ÐµÑÑÐ½ÑÐµ Ð½Ð°Ð¼ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð¸Ð·Ð²ÐµÑÑÐ½ÑÑ Ð¸ Ð¿ÑÐ¸Ð²ÑÑÐ½ÑÑ Ð²ÐµÑÐµÐ¹. Ð¡ÑÐ¶ÐµÑÑ ÐºÐ½Ð¸Ð³Ð¸ ÑÐ¾Ð¿ÑÐ¸ÐºÐ°ÑÐ°ÑÑÑÑ Ð¸ Ñ Ð´ÑÑÐ³Ð¸Ð¼Ð¸ ÑÐ²Ð»ÐµÐ½Ð¸ÑÐ¼Ð¸, Ð½Ðµ Ð²ÑÐµÐ³Ð´Ð° Ð²Ð¸Ð´Ð¸Ð¼ÑÐ¼Ð¸, Ð½Ð¾ ÑÐ¾Ð·Ð´Ð°ÑÑÐ¸Ð¼Ð¸ Ð²Ð¾ÐºÑÑÐ³ ÑÐ°ÑÐ° Ð¿ÑÐ¸Ð²ÑÑÐ½Ð¾Ð¹ Ð´Ð»Ñ Ð½Ð°Ñ Ð¿Ð¾Ð½ÑÑÐ½Ð¾ÑÑÐ¸ Ð¸ ÑÐµÐ°Ð»ÑÐ½Ð¾ÑÑÐ¸ Â«ÐºÑÐ±Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð¾ÑÐµÐ¾Ð» Ð½ÐµÐ¼ÑÑÐ»Ð¸Ð¼Ð¾Ð³Ð¾Â». Ð¨Ð°Ð³ Ð·Ð° ÑÐ°Ð³Ð¾Ð¼ ÐºÐ½Ð¸Ð³Ð° ÑÐ²Ð¾Ð´Ð¸Ñ Ð²Ð°Ñ Ð² Ð½ÐµÐ¾Ð¶Ð¸Ð´Ð°Ð½Ð½ÑÐ¹ Ð¿ÑÑÑ Ðº Ð³ÑÐ°Ð½Ð¸ÑÐ°Ð¼, Ð·Ð° ÐºÐ¾ÑÐ¾ÑÑÐ¼Ð¸ Ð½Ð°ÑÐ¸Ð½Ð°ÑÑÑÑ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸ Ð¸ ÑÑÐ¾Ð¿ÐºÐ¸ Ðº Ð½ÐµÐºÐ¾ÑÐ¾ÑÑÐ¼ ÑÑÑÐ½Ð¾ÑÑÑÐ¼ Ð²ÑÐµÐ»ÐµÐ½ÑÐºÐ¾Ð³Ð¾ Ð¼Ð¸ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ. ÐÐ°ÑÐ° ÐºÐ½Ð¸Ð³Ð° ÐµÑÐµ Ð¸ ÑÐ±Ð¾ÑÐ½Ð¸Ðº Ð½ÐµÐ¿ÑÐ°Ð²Ð¸Ð»ÑÐ½ÑÑ Ð¿ÑÑÐµÐ¹, ÐºÐ°ÐºÐ¸Ð¼Ð¸ ÑÐ¾Ð»ÑÐºÐ¾ Ð¸ Ð½ÑÐ¶Ð½Ð¾ Ð±ÑÐ¾Ð´Ð¸ÑÑ Ð¿Ð¾ Ð»Ð°Ð±Ð¸ÑÐ¸Ð½ÑÐ°Ð¼ Ð½ÐµÐ²Ð¸Ð´Ð¸Ð¼Ð¾Ð³Ð¾ Ð¸ Ð½ÐµÐ²ÐµÐ´Ð¾Ð¼Ð¾Ð³Ð¾. Ð¤Ð¸Ð·Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸, Ð¾Ð¿Ð¸ÑÐ°Ð½Ð½ÑÐµ Ð² Ð½ÐµÐ¹ Ð¿Ð¾ÑÑÐ¸ Ð² ÑÑÐ¸Ð»Ðµ ÑÑÐ½ÑÐµÐ·Ð¸, Ð³ÑÐ°Ð½Ð¸ÑÐ°Ñ Ñ Ð¸Ñ ÐºÐ°ÑÐ½Ð°Ð²Ð°Ð»ÑÐ½Ð¾ÑÑÑÑ, Ð½Ð°ÑÐ¾ÑÐ½Ð¾ÑÑÑÑ Ð¸ Ð¸Ð³ÑÐ¾Ð¹, Ð±ÐµÐ· ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð½Ðµ Ð¾Ð±Ð¾Ð¹ÑÐ¸ÑÑ Ð»ÑÐ±Ð¾Ð¹ ÑÐ°ÑÐºÐ¾Ð¹ ÑÐµÐ¾ÑÐ¸Ð¸. Ð Ð²ÑÐ±ÑÐ°ÑÑ ÑÐµÐ±Ðµ Ð´Ð¾ÑÐ¾Ð¶ÐºÐ¸ Ð¸ ÑÑÐ¾Ð¿ÐºÐ¸ Ð´Ð»Ñ ÑÑÑÐ°Ð½ÑÑÐ²Ð¸Ð¹ Ð¿Ð¾ ÐºÐ½Ð¸Ð³Ðµ, Ð¼Ð¾Ð¶ÐµÑ, ÐºÐ¾Ð½ÐµÑÐ½Ð¾, ÑÐ°Ð¼ ÑÐ¸ÑÐ°ÑÐµÐ»Ñ.
Algorithm for Optimized mRNA Design Improves Stability and Immunogenicity
Creators: name: Zhang, He
name: Zhang, Liang
name: Lin, Ang
name: Xu, Congcong
name: Li, Ziyu
name: Liu, Kaibo
name: Liu, Boxiang
name: Ma, Xiaopin
name: Zhao, Fanfan
name: Yao, Weiguo
name: Li, Hangwen
name: Mathews, David H.
name: Zhang, Yujian
name: Huang, Liang
Publisher: name: arXiv
Year: 2020
Subjects: subject: Biomolecules (q-bio.BM)
subject: FOS: Biological sciences

description: Messenger RNA (mRNA) vaccines are being used for COVID-19, but still suffer from the critical issue of mRNA instability and degradation, which is a major obstacle in the storage, distribution, and efficacy of the vaccine. Previous work showed that optimizing secondary structure stability lengthens mRNA half-life, which, together with optimal codons, increases protein expression. Therefore, a principled mRNA design algorithm must optimize both structural stability and codon usage to improve mRNA efficiency. However, due to synonymous codons, the mRNA design space is prohibitively large, e.g., there are $\sim\!10^{632}$ mRNAs for the SARS-CoV-2 Spike protein, which poses insurmountable challenges to previous methods. Here we provide a surprisingly simple solution to this hard problem by reducing it to a classical problem in computational linguistics, where finding the optimal mRNA is akin to finding the most likely sentence among similar sounding alternatives. Our algorithm, named LinearDesign, takes only 11 minutes for the Spike protein, and can jointly optimize stability and codon usage. Experimentally, without chemical modification, our designs substantially improve mRNA half-life and protein expression in vitro, and dramatically increase antibody response by up to 23$\times$ in vivo, compared to the codon-optimized benchmark. Our work enables the exploration of highly stable and efficient designs that are previously unreachable and is a timely tool not only for vaccines but also for mRNA medicine encoding all therapeutic proteins (e.g., monoclonal antibodies and anti-cancer drugs).
description: 17 pages for main text; 24 pages of supporting information; 4+11=15 figures; 2 tables (both in supporting information)
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´ÑÐ°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¿Ð¾Ð´Ð±Ð¾ÑÐ° Ð¼ÑÐ·ÑÐºÐ°Ð»ÑÐ½ÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ð¹ Ð² ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐµÑÐ¸ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð²
title: Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½ÑÐ¹ Ð¿ÑÐ¾ÐµÐºÑ
titleType: Subtitle
Creators: name: ÐÐ½Ð¸ÐºÐ¾Ð², ÐÑÑÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: ÐºÐ¾Ð»Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¸Ð²Ð½Ð°Ñ ÑÐ¸Ð»ÑÑÑÐ°ÑÐ¸Ñ
ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐµÐ»ÑÐ½Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°
ÐºÐ¾ÑÐ¸Ð½ÑÑÐ½Ð°Ñ Ð¼ÐµÑÐ°
ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½ÑÐµ ÑÐµÑÐ¸
Ð¿Ð¾Ð´Ð±Ð¾Ñ Ð°ÑÐ´Ð¸Ð¾Ð·Ð°Ð¿Ð¸ÑÐµÐ¹

description: Ð Ð½Ð°ÑÑÐ¾ÑÑÐµÐ¼ Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½Ð¾Ð¼ Ð¿ÑÐ¾ÐµÐºÑÐµ Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸ÑÑÑ Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐµÐ»ÑÐ½ÑÑ ÑÐ¸ÑÑÐµÐ¼ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ ÑÑÐ°ÑÐ¸ÑÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¼ÐµÑÐ¾Ð´Ð¾Ð². Ð ÐµÐ°Ð»Ð¸Ð·ÑÐµÑÑÑ ÑÐ¸ÑÑÐµÐ¼Ð° Ð¿Ð¾ Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´ÑÐ°Ð»ÑÐ½Ð¾Ð¼Ñ Ð¿Ð¾Ð´Ð±Ð¾ÑÑ Ð¼ÑÐ·ÑÐºÐ°Ð»ÑÐ½ÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ð¹ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Ð´Ð°Ð½Ð½ÑÑ Ð¸Ð· ÑÐ¾ÑÐ¸Ð°Ð»ÑÐ½Ð¾Ð¹ ÑÐµÑÐ¸ Â«ÐÐÐ¾Ð½ÑÐ°ÐºÑÐµÂ». ÐÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½ Ð½ÐµÐ»Ð¸Ð½ÐµÐ¹Ð½ÑÐ¹ Ð±Ð°Ð·Ð¸Ñ ÑÐ¾Ð¾ÑÐ½Ð¾ÑÐµÐ½Ð¸Ñ Ð¶Ð°Ð½ÑÐ¾Ð² Ð¼ÑÐ·ÑÐºÐ°Ð»ÑÐ½ÑÑ Ð¿ÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð¸Ð¹.
Pulsation modes in rapidly rotating stellar models based on the Self-Consistent Field method
Creators: name: Reese, D. R.
name: MacGregor, K. B.
name: Jackson, S.
name: Skumanich, A.
name: Metcalfe, T. S.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Solar and Stellar Astrophysics (astro-ph.SR)
subject: FOS: Physical sciences

description: Context: New observational means such as the space missions CoRoT and Kepler and ground-based networks are and will be collecting stellar pulsation data with unprecedented accuracy. A significant fraction of the stars in which pulsations are observed are rotating rapidly. Aims: Our aim is to characterise pulsation modes in rapidly rotating stellar models so as to be able to interpret asteroseismic data from such stars. Methods: The pulsation code developed in Lignières et al. (2006) and Reese et al. (2006) is applied to stellar models based on the self-consistent field (SCF) method (Jackson et al. 2004, 2005, MacGregor et al. 2007). Results: Pulsation modes in SCF models follow a similar behaviour to those in uniformly rotating polytropic models, provided that the rotation profile is not too differential. Pulsation modes fall into different categories, the three main ones being island, chaotic, and whispering gallery modes, which are rotating counterparts to modes with low, medium, and high l-|m| values, respectively. The frequencies of the island modes follow an asymptotic pattern quite similar to what was found for polytropic models. Extending this asymptotic formula to higher azimuthal orders reveals more subtle behaviour as a function of m and provides a first estimate of the average advection of pulsation modes by rotation. Further calculations based on a variational principle confirm this estimate and provide rotation kernels that could be used in inversion methods. When the rotation profile becomes highly differential, it becomes more and more difficult to find island and whispering gallery modes at low azimuthal orders. At high azimuthal orders, whispering gallery modes, and in some cases island modes, reappear.
description: 16 pages, 11 figures, accepted for publication in A&A
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÑÑÑÐºÑÑÑ Ð´Ð°Ð½Ð½ÑÑ Ð´Ð»Ñ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ ÐºÐ¾Ð´Ð¾Ð²
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: Ð¯ÐºÑÐ±Ð°, ÐÐ¸ÐºÐ¾Ð»Ð°Ð¹
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ
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description: Ð Ð°Ð±Ð¾ÑÐ° Ð¿Ð¾ÑÐ²ÑÑÐµÐ½Ð° ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð¼ÐµÑÐ¾Ð´Ð¾Ð², Ð¿Ð¾Ð·Ð²Ð¾Ð»ÑÑÑÐ¸Ñ Ð¿Ð¾Ð²ÑÑÐ¸ÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾Ð»ÑÑÐ½ÑÑ ÐºÐ¾Ð´Ð¾Ð². ÐÐ¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿ÑÐµÐ´Ð¿Ð¾Ð»Ð°Ð³Ð°ÐµÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¿ÑÐ¸Ð¾ÑÐ¸ÑÐµÑÐ½Ð¾Ð¹ Ð¾ÑÐµÑÐµÐ´Ð¸, ÑÐ»Ð¾Ð¶Ð½Ð¾ÑÑÑ Ð¾Ð¿ÐµÑÐ°ÑÐ¸Ð¹ ÐºÐ¾ÑÐ¾ÑÐ¾Ð¹ Ð¾ÐºÐ°Ð·ÑÐ²Ð°ÐµÑ Ð·Ð½Ð°ÑÐ¸ÑÐµÐ»ÑÐ½Ð¾Ðµ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð½Ð° Ð¿ÑÐ¾Ð¸Ð·Ð²Ð¾Ð´Ð¸ÑÐµÐ»ÑÐ½Ð¾ÑÑÑ Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÐ¾Ð¿Ð¾Ð»Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾ Ð² ÑÐ°Ð±Ð¾ÑÐµ Ð¾Ð¿Ð¸ÑÐ°Ð½ ÑÐ¿Ð¾ÑÐ¾Ð± ÑÐµÐ°Ð»Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð¿Ð¾ÑÐ»ÐµÐ´Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð° Ð´ÐµÐºÐ¾Ð´Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÐµÐ»Ð¾ÑÐ¸ÑÐ»ÐµÐ½Ð½Ð¾Ð¹ Ð°ÑÐ¸ÑÐ¼ÐµÑÐ¸ÐºÐ¸.
title: ÐÐ¸Ð·Ð½ÐµÑ-ÑÐµÐ½ÑÑ Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ Ð¶ÐµÑÑÐºÐ¾Ð³Ð¾ Ð°ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð±ÐµÐ·Ð±Ð°Ð»Ð¾ÑÐ½ÑÑ Ð¿Ð°ÑÐµÐºÑÑÑÐ¸ÑÑ
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: ÐÐ»ÑÐ±ÑÐµÐ²Ð°, ÐÐ°ÑÑÑ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2016
Subjects: Ð¶ÐµÑÑÐºÐ¾Ðµ Ð°ÑÐ¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð±ÐµÐ·Ð±Ð°Ð»Ð¾ÑÐ½ÑÐµ Ð¿ÐµÑÐµÐºÑÑÑÐ¸Ñ
floor slab panel withont girder

description: ÐÑÐ½Ð¾Ð²Ð½Ð¾Ð¹ Ð½ÐµÐ´Ð¾ÑÑÐ°ÑÐ¾Ðº Ð±ÐµÐ·Ð±Ð°Ð»Ð¾ÑÐ½ÑÑ Ð¿ÐµÑÐµÐºÑÑÑÐ¸Ð¹: Ð½ÐµÐ¾Ð±ÑÐ¾Ð´Ð¸Ð¼Ð¾ÑÑÑ Ð²Ð¾ÑÐ¿ÑÐ¸ÑÑÐ¸Ñ ÑÑÐ¸Ð»Ð¸Ð¹ Ð½Ð° Ð¿ÑÐ¾Ð´Ð°Ð²Ð»Ð¸Ð²Ð°Ð½Ð¸Ðµ. Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð¾Ð¿ÑÐµÐ´ÐµÐ»ÑÐµÑÑÑ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¶ÐµÑÑÐºÐ¾Ð¹ Ð°ÑÐ¼Ð°ÑÑÑÑ Ð´Ð»Ñ Ð²Ð¾ÑÐ¿ÑÐ¸ÑÑÐ¸Ñ ÑÑÐ¸Ð»Ð¸Ð¹ Ð½Ð° Ð¿ÑÐ¾Ð´Ð°Ð²Ð»Ð¸Ð²Ð°Ð½Ð¸Ðµ Ð² Ð·Ð¾Ð½Ðµ ÑÐ¾Ð¿ÑÑÐ¶ÐµÐ½Ð¸Ñ Ñ ÐºÐ¾Ð»Ð¾Ð½Ð½Ð°Ð¼Ð¸. ÐÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¿ÑÐ¸Ð²Ð¾Ð´ÑÑÑÑ Ð² ÑÑÐ°Ð²Ð½ÐµÐ½Ð¸Ð¸ Ñ ÐºÐ¾Ð½ÑÑÑÑÐºÑÐ¸ÐµÐ¹ Ñ Ð³Ð¸Ð±ÐºÐ¾Ð¹ Ð¿Ð¾Ð¿ÐµÑÐµÑÐ½Ð¾Ð¹ Ð°ÑÐ¼Ð°ÑÑÑÐ¾Ð¹.
Fractional Standard Map
Creators: name: Edelman, Mark
name: Tarasov, Vasily E.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Chaotic Dynamics (nlin.CD)
subject: FOS: Physical sciences

description: Properties of the phase space of the standard map with memory are investigated. This map was obtained from a kicked fractional differential equation. Depending on the value of the parameter of the map and the fractional order of the derivative in the original differential equation this nonlinear dynamical system demonstrates attractors (fixed points, stables periodic trajectories, slow converging and slow diverging trajectories, ballistic trajectories, and fractal-like structures) and/or chaotic trajectories. At least one type of fractal-like sticky attractors in the chaotic sea was observed.
description: 8 pages, 6 figures
Differentially Large Fields
Creators: name: Sánchez, Omar León
name: Tressl, Marcus
Publisher: name: arXiv
Year: 2020
Subjects: subject: Algebraic Geometry (math.AG)
subject: Analysis of PDEs (math.AP)
subject: Logic (math.LO)
subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: Primary: 12H05, 12E99. Secondary: 03C60, 34M25

description: We introduce the notion of differential largeness for fields equipped with several commuting derivations (as an analogue to largeness of fields). We lay out the foundations of this new class of "tame" differential fields. We state several characterizations and exhibit plenty of examples and applications. Our results strongly indicate that differentially large fields will play a key role in differential field arithmetic. For instance, we characterise differential largeness in terms of being existentially closed in their power series field (furnished with natural derivations), we give explicit constructions of differentially large fields in terms of iterated powers series, we prove that the class of differentially large fields is elementary, and we show that differential largeness is preserved under algebraic extensions, therefore showing that their algebraic closure is differentially closed.
description: 30 pages. arXiv admin note: text overlap with arXiv:1807.09317
title: ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸ÐºÐ°. ÐÐ¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ° Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð²Ð½ÑÑ Flash-Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ð¹ Ð´Ð»Ñ ÑÐ°Ð±Ð¾ÑÑ Ð² ÑÐ¸Ð¿Ð¾Ð²Ð¾Ð¹ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾-Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð¹ ÑÑÐµÐ´Ðµ
title: ÑÑÐµÐ±Ð½Ð¾-Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÐ¸ÐºÐ¸ÑÐ¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
name: Ð¢ÐµÑÐµÑÐ¾Ð², ÐÑÑÐµÐ½Ð¸Ð¹
name: Ð¦Ð¸ÐºÐ¸Ð½, ÐÐ³Ð¾ÑÑ
Publisher: name: ÐÐ·Ð´-Ð²Ð¾ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½. ÑÐ½-ÑÐ°
Year: 2011
Subjects: ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸ÐºÐ°
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ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐµ ÑÐ¸ÑÑÐµÐ¼Ñ
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flash-Ð¿ÑÐ¸Ð»Ð¾Ð¶ÐµÐ½Ð¸Ñ
web-Ð±ÑÐ°ÑÐ·ÐµÑÑ
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ÑÑÐµÐ±Ð½Ð¸ÐºÐ¸ Ð¸ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ

description: ÐÐ¿Ð¸ÑÑÐ²Ð°ÑÑÑÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÑÐ°Ð¿Ñ Ð°Ð´Ð°Ð¿ÑÐ°ÑÐ¸Ð¸ Ð¸Ð½ÑÐµÑÐ°ÐºÑÐ¸Ð²Ð½Ð¾Ð³Ð¾ ÑÑÐµÐ±Ð½Ð¾Ð³Ð¾ ÑÐµÑÑÑÑÐ°, Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð½Ð° Ð¾ÑÐ½Ð¾Ð²Ðµ Flash-ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ð¸, Ð´Ð»Ñ ÐµÐ³Ð¾ Ð²ÑÑÑÐ°Ð¸Ð²Ð°Ð½Ð¸Ñ Ð² ÑÐ¸Ð¿Ð¾Ð²ÑÑ Ð¸Ð½ÑÐ¾ÑÐ¼Ð°ÑÐ¸Ð¾Ð½Ð½Ð¾-Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÑ ÑÑÐµÐ´Ñ, Ð¿Ð¾Ð´Ð´ÐµÑÐ¶Ð¸Ð²Ð°ÑÑÑÑ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½ÑÐµ ÑÑÐ°Ð½Ð´Ð°ÑÑÑ e-learning. ÐÐ¾ÑÐ¾Ð±Ð¸Ðµ Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ Ð´Ð»Ñ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°ÑÐµÐ»ÐµÐ¹ Ð¸ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÑÐ¸ÐºÐ¾Ð² ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÑ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½ÑÑ ÑÐµÑÑÑÑÐ¾Ð².
description: ÐÐµÑÐ°ÑÐ°ÐµÑÑÑ Ð¿Ð¾ ÑÐµÑÐµÐ½Ð¸Ñ ÑÐµÐ´Ð°ÐºÑÐ¸Ð¾Ð½Ð½Ð¾-Ð¸Ð·Ð´Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð³Ð¾ ÑÐ¾Ð²ÐµÑÐ° Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¾Ð³Ð¾ Ð³Ð¾ÑÑÐ´Ð°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°.
Complete Dynamical Localization in Disordered Quantum Multi-Particle Systems
Creators: name: Aizenman, Michael
name: Warzel, Simone
Publisher: name: arXiv
Year: 2009
Subjects: subject: Mathematical Physics (math-ph)
subject: Quantum Gases (cond-mat.quant-gas)
subject: FOS: Physical sciences
subject: 47B80, 60K40

description: We present some recent results concerning the persistence of dynamical localization for disordered systems of n particles under weak interactions.
description: For the proceedings of the XVI International Congress of Mathematical Physics, Prague 2009. Lecture presented by S. Warzel
Dark matter stability and unification without supersymmetry
Creators: name: Frigerio, Michele
name: Hambye, Thomas
Publisher: name: arXiv
Year: 2009
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: FOS: Physical sciences

description: In the absence of low energy supersymmetry, we show that (a) the dark matter particle alone at the TeV scale can improve gauge coupling unification, raising the unification scale up to the lower bound imposed by proton decay, and (b) the dark matter stability can automatically follow from the grand unification symmetry. Within reasonably simple unified models, a unique candidate satisfying these two properties is singled out: a fermion isotriplet with zero hypercharge, member of a 45 (or larger) representation of SO(10). We discuss the phenomenological signatures of this TeV scale fermion, which can be tested in direct and indirect future dark matter searches. The proton decay rate into e^+ π^0 is predicted close to the present bound.
description: 14 pages; several comments and references added; version published in PRD
Anomalous Nernst effect in ferromagnetic Mn$_5$Ge$_3$C$_x$ thin films on insulating sapphire
Creators: name: Kraft, R.
name: Srichandan, S.
name: Fischer, G.
name: Sürgers, C.
Publisher: name: arXiv
Year: 2020
Subjects: subject: Materials Science (cond-mat.mtrl-sci)
subject: FOS: Physical sciences

description: Investigating the thermoelectric properties of ferromagnets is important for the development of future microelectronic devices for efficient energy conversion purposes. Ferromagnetic Mn$_5$Ge$_3$C$_x$ thin films with a Curie temperature up to $T_{\rm C}$ = 450 K well above room temperature are potential candidates for spintronic applications by integration into CMOS heterostructures. In this work, the thermoelectric power, in particular, the anomalous Nernst effect (ANE) has been investigated experimentally for magnetron sputtered thin films on sapphire (11-20) substrates. The ANE gradually increases with increasing carbon content x up to a maximum value obtained for x=0.8 in line with earlier investigations of the magnetization and anomalous Hall effect. The ANE is strongly enhanced by a factor three compared to the parent Mn$_5$Ge$_3$ compound. However, for x=0.8 we observe a clear deviation of the calculated ANE from the measured values.
description: 6 pages, 4 figures
Haben die Fridays for Future recht? – Ein Statement von Scientists4Future
Creators: name: Hagedorn, Gregor
Publisher: name: Zenodo
Year: 2019
Subjects: sustainability; climate change; global warming; biodiversity loss; climate crisis; political inaction

description: German language presentation about the climate and biodiversity crisis and the position of the Fridays for Future and Scientists4Future (Scientists for Future) movement on 2019-05-07 at tincon (teenage internet conference) / re:publica 2019 in Berlin. A video of the original presentation is available here: https://www.youtube.com/watch?v=RAyfqUWjFXQ
Fast variable density node generation on parametric surfaces with application to mesh-free methods
Creators: name: Duh, Urban
name: Kosec, Gregor
name: Slak, Jure
Publisher: name: arXiv
Year: 2020
Subjects: subject: Numerical Analysis (math.NA)
subject: FOS: Mathematics
subject: 65D99, 65N99, 65Y20, 68Q25

description: Domain discretization is considered a dominant part of solution procedures for solving partial differential equations. It is widely accepted that mesh generation is among the most cumbersome parts of the FEM analysis and often requires human assistance, especially in complex 3D geometries. When using alternative mesh-free approaches, the problem of mesh generation is simplified to the problem of positioning nodes, a much simpler task, though still not trivial. In this paper we present an algorithm for generation of nodes on arbitrary $d$-dimensional surfaces. This algorithm complements a recently published algorithm for generation of nodes in domain interiors, and represents another step towards a fully automated dimension-independent solution procedure for solving partial differential equations. The proposed algorithm generates nodes with variable density on surfaces parameterized over arbitrary parametric domains in a dimension-independent way in $O(N\log N)$ time. It is also compared with existing algorithms for generation of surface nodes for mesh-free methods in terms of quality and execution time.
title: ÐÑÐ½Ð¾Ð²Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¸Ð·Ð°ÑÐ¸Ð¸. ÐÑÐ°ÐºÑÐ¸ÐºÑÐ¼ Ð¿Ð¾ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¸Ð·Ð°ÑÐ¸Ð¸
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: Ð¤Ð¸Ð»Ð¸Ð¿Ð¾Ð²ÑÐºÐ¸Ð¹, ÐÐ»Ð°Ð´Ð¸Ð¼Ð¸Ñ
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2019
Subjects: ÐÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½ÑÐµ Ð¼Ð°ÑÐ¸Ð½Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð½ÑÐµ Ð¿ÐµÑÑÐ¾Ð½Ð°Ð»ÑÐ½ÑÐµ
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description: ÐÐ¾ÑÐ¾Ð±Ð¸Ðµ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÐµÑ Ð¤ÐÐÐ¡ ÐÐ Ð¿Ð¾ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐ¸ 27.03.04 Â«Ð£Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð² ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Ð°ÑÂ» (ÑÑÐ¾Ð²ÐµÐ½Ñ Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ¸Ð°ÑÐ°). Ð Ð°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÑÑÑÑ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÐµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð° Ð¸ ÑÐ¿Ð¾ÑÐ¾Ð±Ñ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð². ÐÐ¾Ð´ÑÐ¾Ð±Ð½Ð¾ Ð¸Ð·Ð»Ð¾Ð¶ÐµÐ½ ÑÑÑÑÐºÑÑÑÐ½ÑÐ¹ Ð¿Ð¾Ð´ÑÐ¾Ð´ Ðº ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ñ Ð¿ÑÐ¸Ð¼ÐµÐ½ÐµÐ½Ð¸ÐµÐ¼ ÑÐ¸Ð¿Ð¾Ð²ÑÑ ÑÑÐµÐ¼. ÐÑÐ¸Ð²ÐµÐ´ÐµÐ½Ð¾ Ð¼Ð½Ð¾Ð¶ÐµÑÑÐ²Ð¾ Ð¿ÑÐ¸Ð¼ÐµÑÐ¾Ð² Ñ Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ°ÑÐ¸ÐµÐ¹ ÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð³Ð¾ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸Ñ Ð¾ÑÐ½Ð¾Ð²Ð½ÑÑ Ð¿ÑÐ¸ÐµÐ¼Ð¾Ð² Ð¸ ÑÐ¸Ð¿Ð¾Ð²ÑÑ ÑÑÐµÐ¼ Ð¿ÑÐ¸ ÑÐµÑÐµÐ½Ð¸Ð¸ Ð¼Ð½Ð¾Ð³Ð¾ÑÐ¸ÑÐ»ÐµÐ½Ð½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¸ÑÐµÑÐºÐ¸Ñ Ð·Ð°Ð´Ð°Ñ. ÐÑÐ¾Ð±Ð¾Ðµ Ð²Ð½Ð¸Ð¼Ð°Ð½Ð¸Ðµ ÑÐ´ÐµÐ»ÐµÐ½Ð¾ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½ÑÐ¼ Ð¾ÑÐ¸Ð±ÐºÐ°Ð¼ Ð¸ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸ÑÐ¼, ÐºÐ°Ðº ÑÑÐ¸Ñ Ð¾ÑÐ¸Ð±Ð¾Ðº Ð¸Ð·Ð±ÐµÐ¶Ð°ÑÑ Ð¸ ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°ÑÑ Ð²ÑÑÐ¾ÐºÐ¾ÑÑÑÐµÐºÑÐ¸Ð²Ð½ÑÐ¹ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼. Ð¡Ð¾Ð´ÐµÑÐ¶Ð°Ð½Ð¸Ðµ Ð½Ð°ÑÑÐ¾ÑÑÐµÐ³Ð¾ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ Ð¾Ð¿Ð¸ÑÐ°ÐµÑÑÑ Ð½Ð° ÑÑÐ°Ð´Ð¸ÑÐ¸Ð¾Ð½Ð½ÑÐµ Ð¼ÐµÑÐ¾Ð´Ñ Ð¸ Ð¿Ð¾Ð´ÑÐ¾Ð´Ñ, Ð½Ð°ÐºÐ¾Ð¿Ð»ÐµÐ½Ð½ÑÐ¹ Ð±Ð¾Ð³Ð°ÑÑÐ¹ Ð¾Ð¿ÑÑ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ¸ Ð³ÑÐ°Ð¼Ð¾ÑÐ½ÑÑ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² Ñ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°Ð½Ð¸ÐµÐ¼ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ½ÑÑ (ÑÐ¸Ð¿Ð¾Ð²ÑÑ) ÑÑÐµÐ¼. Ð£ÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ Ð¿ÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ ÑÑÑÐ´ÐµÐ½ÑÐ°Ð¼ ÐÑÑÑÐµÐ¹ Ð¨ÐºÐ¾Ð»Ñ ÐÐ¸Ð±ÐµÑÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼ Ð¸ Ð£Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ (Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ñ Â«Ð£Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ðµ Ð² ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼Ð°ÑÂ») Ð² ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ Ð´Ð»Ñ Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ Ð»ÐµÐºÑÐ¸Ð¾Ð½Ð½ÑÑ ÐºÑÑÑÐ¾Ð² Ð¸ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ð¸ ÐºÑÑÑÐ¾Ð²ÑÑ Ð¸ Ð»Ð°Ð±Ð¾ÑÐ°ÑÐ¾ÑÐ½ÑÑ ÑÐ°Ð±Ð¾Ñ Ð¿Ð¾ ÐºÑÑÑÐ°Ð¼ "ÐÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ", "ÐÐ½ÑÐ¾ÑÐ¼Ð°ÑÐ¸ÐºÐ°", "ÐÑÑÐ¸ÑÐ»Ð¸ÑÐµÐ»ÑÐ½Ð°Ñ Ð¼Ð°ÑÐµÐ¼Ð°ÑÐ¸ÐºÐ°", "ÐÐ°ÑÐµÐ¼Ð°ÑÐ¸ÑÐµÑÐºÐ¸Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ¸ÑÑÐµÐ¼" Ð¸ Ð´ÑÑÐ³Ð¸Ñ, ÑÐ²ÑÐ·Ð°Ð½Ð½ÑÑ Ñ ÑÐ¾ÑÑÐ°Ð²Ð»ÐµÐ½Ð¸ÐµÐ¼ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ Ð´Ð»Ñ Ð­ÐÐ. ÐÐ°Ð½Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ ÑÐ²Ð»ÑÐµÑÑÑ Ð¿ÑÐ¾Ð´Ð¾Ð»Ð¶ÐµÐ½Ð¸ÐµÐ¼ ÑÑÐµÐ±Ð½Ð¾Ð³Ð¾ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ "ÐÑÐ½Ð¾Ð²Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¸Ð·Ð°ÑÐ¸Ð¸. Ð§. 1. Ð¢ÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸Ñ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ Ð¿ÑÐ¾-Ð³ÑÐ°Ð¼Ð¼".
The Method Of Thue-Siegel For Binary Quartic Forms
Creators: name: Akhtari, Shabnam
Publisher: name: arXiv
Year: 2009
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11D25, 11D45

description: We will use Thue-Siegel method, based on Padé approximation via hypergeometric functions, to give upper bounds for the number of integral solutions to the equation $|F(x, y)| = 1$ as well as the inequalities $|F(x, y)| \leq h$, for a certain family of irreducible quartic binary forms.
description: A version of this paper is to appear in Acta. Arith