cometadata/datacite-rtg-text-other-reclassification-records huggingface dataset:
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾ÐµÐºÑÐ° Ð¿Ð¾ ÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ (Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÑÐµÑÑÐ¾ÑÐ°Ð½Ð° Â«Ð¤ÐµÑÐ¼Ð° ÐÐµÐ½ÑÐ°Â»)
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
Creators: name: ÐÐ¸Ð²Ð¾Ð²Ð°Ñ, 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: 2018
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Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
Creators: name: Rezayi, Edward H.
name: Simon, Steven H.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: FOS: Physical sciences

description: We perform numerical studies to determine if the fractional quantum Hall state observed at filling nu=5/2 is the Moore-Read wavefunction or its particle hole conjugate, the so-called AntiPfaffian. Using a truncated Hilbert space approach we find that for realistic interactions, including Landau-level mixing, the ground state remains fully polarized and the AntiPfaffian is strongly favored.
description: Main change is that the Anti-Pfaffian is favored instead of the Pfaffian (caused by a sign error in the commutation relation of the dynamical momenta). 4-plus pages, 3 figures
title: Ð£ÑÑÑÐ¾Ð¹ÑÑÐ²Ð¾ ÐºÐ°ÑÐ±ÑÑÐ°ÑÐ¾ÑÐ½ÑÑ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»ÐµÐ¹
title: [Ð¿ÑÐµÐ·ÐµÐ½ÑÐ°ÑÐ¸Ñ]
titleType: Subtitle
Creators: name: ÐÐ¾Ð·Ð¸Ð½, ÐÐ°Ð²ÐµÐ»
name: ÐÐ¾Ð»Ð¸Ð²Ð¾Ð´Ð°, ÐÐ»ÐµÐ³
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Year: 2016
Subjects: ÐÐ²ÑÐ¾Ð¼Ð¾Ð±Ð¸Ð»ÑÐ½ÑÐµ Ð´Ð²Ð¸Ð³Ð°ÑÐµÐ»Ð¸ ÐºÐ°ÑÐ±ÑÑÐ°ÑÐ¾ÑÐ½ÑÐµ

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title: ÐÑÐµÐ½ÐºÐ° Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð¹ Ð¿ÑÐ¸Ð²Ð»ÐµÐºÐ°ÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ ÑÐ¾Ð·Ð´Ð°Ð½Ð¸Ñ 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° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
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Year: 2018
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title: ÐÐ½ÑÑÑÑÐ¼ÐµÐ½ÑÑ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸ ÐºÐ°ÑÐµÑÑÐ²Ð° Ð² Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ð¸ ÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸
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titleType: Subtitle
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Year: 2018
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Year: 2018
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2. ÐÐ¾Ð½ÑÑÑÑÐºÑÐ¸Ð²Ð½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ (Ð·Ð´ÐµÑÑ Ð¶Ðµ ÑÐ°ÑÑÐ¼Ð°ÑÑÐ¸Ð²Ð°ÐµÑÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ½Ð¾Ðµ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ)
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Chaplygin ball over a fixed sphere: explicit integration
Creators: name: Borisov, A.
name: Fedorov, Yu.
name: Mamaev, I.
Publisher: name: arXiv
Year: 2008
Subjects: subject: Exactly Solvable and Integrable Systems (nlin.SI)
subject: FOS: Physical sciences

description: We consider a nonholonomic system describing a rolling of a dynamically non-symmetric sphere over a fixed sphere without slipping. The system generalizes the classical nonholonomic Chaplygin sphere problem and it is shown to be integrable for one special ratio of radii of the spheres. After a time reparameterization the system becomes a Hamiltonian one and admits a separation of variables and reduction to Abel--Jacobi quadratures. The separating variables that we found appear to be a non-trivial generalization of ellipsoidal (spheroconical) coordinates on the Poisson sphere, which can be useful in other integrable problems. Using the quadratures we also perform an explicit integration of the problem in theta-functions of the new time.
description: This is an extended version of the paper to be published in Regular and Chaotic Dynamics, Vol. 13 (2008), No. 6. Contains 20 pages and 2 figures
Can neural networks do arithmetic? A survey on the elementary numerical skills of state-of-the-art deep learning models
Creators: name: Testolin, Alberto
Publisher: name: arXiv
Year: 2023
Subjects: subject: Artificial Intelligence (cs.AI)
subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: Creating learning models that can exhibit sophisticated reasoning skills is one of the greatest challenges in deep learning research, and mathematics is rapidly becoming one of the target domains for assessing scientific progress in this direction. In the past few years there has been an explosion of neural network architectures, data sets, and benchmarks specifically designed to tackle mathematical problems, reporting notable success in disparate fields such as automated theorem proving, numerical integration, and discovery of new conjectures or matrix multiplication algorithms. However, despite these impressive achievements it is still unclear whether deep learning models possess an elementary understanding of quantities and symbolic numbers. In this survey we critically examine the recent literature, concluding that even state-of-the-art architectures often fall short when probed with relatively simple tasks designed to test basic numerical and arithmetic knowledge.
Extensible Component Based Architecture for FLASH, A Massively Parallel, Multiphysics Simulation Code
Creators: name: Dubey, A.
name: Reid, L. B.
name: Weide, K.
name: Antypas, K.
name: Ganapathy, M. K.
name: Riley, K.
name: Sheeler, D.
name: Siegal, A.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Software Engineering (cs.SE)
subject: FOS: Computer and information sciences

description: FLASH is a publicly available high performance application code which has evolved into a modular, extensible software system from a collection of unconnected legacy codes. FLASH has been successful because its capabilities have been driven by the needs of scientific applications, without compromising maintainability, performance, and usability. In its newest incarnation, FLASH3 consists of inter-operable modules that can be combined to generate different applications. The FLASH architecture allows arbitrarily many alternative implementations of its components to co-exist and interchange with each other, resulting in greater flexibility. Further, a simple and elegant mechanism exists for customization of code functionality without the need to modify the core implementation of the source. A built-in unit test framework providing verifiability, combined with a rigorous software maintenance process, allow the code to operate simultaneously in the dual mode of production and development. In this paper we describe the FLASH3 architecture, with emphasis on solutions to the more challenging conflicts arising from solver complexity, portable performance requirements, and legacy codes. We also include results from user surveys conducted in 2005 and 2007, which highlight the success of the code.
description: 33 pages, 7 figures; revised paper submitted to Parallel Computing
Gauge singlet scalar as inflaton and thermal relic dark matter
Creators: name: Lerner, Rose N.
name: McDonald, John
Publisher: name: arXiv
Year: 2009
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: We show that, by adding a gauge singlet scalar S to the standard model which is nonminimally coupled to gravity, S can act both as the inflaton and as thermal relic dark matter. We obtain the allowed region of the (m_s, m_h) parameter space which gives a spectral index in agreement with observational bounds and also produces the observed dark matter density while not violating vacuum stability or nonperturbativity constraints. We show that, in contrast to the case of Higgs inflation, once quantum corrections are included the spectral index is significantly larger than the classical value (n = 0.966 for N = 60) for all allowed values of the Higgs mass m_h. The range of Higgs mass compatible with the constraints is 145 GeV < m_h < 170 GeV. The S mass lies in the range 45 GeV < ms < 1 TeV for the case of a real S scalar with large quartic self-coupling lambdas, with a smaller upper bound for smaller lambdas. A region of the parameter space is accessible to direct searches at the LHC via h-->SS, while future direct dark matter searches should be able to significantly constrain the model.
description: 13 pages, 7 figures. Published version
title: ÐÐ´Ð°Ð½Ð¸Ðµ ÑÐµÑÑÐ¾ÑÐ°Ð½Ð° Ñ ÑÐºÑÐ¿Ð»ÑÐ°ÑÐ¸ÑÑÐµÐ¼Ð¾Ð¹ ÐºÑÑÑÐµÐ¹
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: Ð£ÑÐ¸Ð¼ÑÐµÐ², ÐÐ°Ð½Ð¸Ð¸Ð»
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: 2017
Subjects: Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð¾Ð±ÑÐµÐ¼Ð½Ð¾-Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð¾ÑÐ½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ
Ð´ÑÐµÐ½Ð°Ð¶Ð½Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°

description: Ð Ð´Ð¸Ð¿Ð»Ð¾Ð¼Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ð¸ Ñ Ð·Ð°Ð´Ð°Ð½Ð¸ÐµÐ¼ Ð½Ð° Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð¿ÑÐ¾ÐµÐºÑ Ð¼Ð½Ð¾Ð³Ð¾ÑÑÐ°Ð¶Ð½Ð¾Ðµ Ð¶Ð¸Ð»Ð¾Ðµ Ð·Ð´Ð°Ð½Ð¸Ðµ ÑÐ¾ Ð²ÑÑÑÐ¾ÐµÐ½Ð½ÑÐ¼Ð¸ Ð¿Ð¾Ð¼ÐµÑÐµÐ½Ð¸ÑÐ¼Ð¸ Ð¸ Ð¿Ð¾Ð´Ð·ÐµÐ¼Ð½Ð¾Ð¹ Ð°Ð²ÑÐ¾ÑÑÐ¾ÑÐ½ÐºÐ¾Ð¹. Ð ÑÐ¾Ð´Ðµ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ñ ÑÐ°Ð·Ð´ÐµÐ»Ñ Ð¾Ð±ÑÐ°Ñ Ð¿Ð¾ÑÑÐ½Ð¸ÑÐµÐ»ÑÐ½Ð°Ñ Ð·Ð°Ð¿Ð¸ÑÐºÐ°, ÑÑÐµÐ¼Ð° Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð¾ÑÐ½Ð¾Ð¹ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ Ð·ÐµÐ¼ÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°ÑÑÐºÐ°, Ð°ÑÑÐ¸ÑÐµÐºÑÑÑÐ½ÑÐµ Ð¸ Ð¾Ð±ÑÐµÐ¼Ð½Ð¾-Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð¾ÑÐ½ÑÐµ ÑÐµÑÐµÐ½Ð¸Ñ, ÑÐ²ÐµÐ´ÐµÐ½Ð¸Ñ Ð¾Ð± Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ½Ð¾Ð¼ Ð¾Ð±Ð¾ÑÑÐ´Ð¾Ð²Ð°Ð½Ð¸Ð¸, Ð¿ÑÐ¾ÐµÐºÑ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸ ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÑÑÐ²Ð°, Ð¾ÑÑÐ°Ð½Ð° Ð¾ÐºÑÑÐ¶Ð°ÑÑÐµÐ¹ ÑÑÐµÐ´Ñ. Ð¢Ð°Ðº Ð¶Ðµ Ð¿ÑÐ¸Ð²ÐµÐ´ÐµÐ½ ÑÐ°ÑÑÐµÑ Ð´ÑÐµÐ½Ð°Ð¶Ð½Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÑÐ¾ÐµÐºÑÐ¾Ð¼ Ð¿ÑÐµÐ´ÑÑÐ¼Ð¾ÑÑÐµÐ½Ð¾ ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ðµ Ð·Ð¾Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐµÑÑÐ¸ÑÐ¾ÑÐ¸Ð¸ Ð¸ Ð¿Ð¾Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð¶Ð¸Ð»Ð¾Ð³Ð¾ Ð·Ð´Ð°Ð½Ð¸Ñ. ÐÑÐµ Ð¿Ð¾Ð¼ÐµÑÐµÐ½Ð¸Ñ Ð¾Ð±ÑÐµÐ´Ð¸Ð½ÐµÐ½Ñ Ð² ÑÑÐ½ÐºÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÐµ Ð³ÑÑÐ¿Ð¿Ñ. ÐÑÐ¾ÐµÐºÑ Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½ Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ðµ Ð´ÐµÐ¹ÑÑÐ²ÑÑÑÐ¸Ð¼Ð¸ Ð½Ð¾ÑÐ¼Ð°ÑÐ¸Ð²Ð°Ð¼Ð¸.
Gauge propagator and physical consistency of the CPT-even part of the Standard Model Extension
Creators: name: Casana, Rodolfo
name: Ferreira, Manoel M.
name: Gomes, Adalto R.
name: Pinheiro, Paulo R. D.
Publisher: name: arXiv
Year: 2009
Subjects: subject: High Energy Physics - Theory (hep-th)
subject: FOS: Physical sciences

description: In this work, we explicitly evaluate the gauge propagator of the Maxwell theory supplemented by the CPT-even term of the SME. First, we specialize our evaluation for the parity-odd sector of the tensor $W_{μνρσ}$,\ using a parametrization that retains only the three nonbirefringent coefficients. From the poles of the propagator, it is shown that physical modes of this electrodynamics are stable, non-causal and unitary. In the sequel, we carry out the parity-even gauge propagator using a parametrization that allows to work with only the isotropic nonbirefringent element. In this case, we show that the physical modes of the parity-even sector of the tensor $W$ are causal, stable and unitary for a limited range of the isotropic coefficient.
description: revtex style, 12 pages, final version published in PRD
Time behaviour of Hubble parameter by torsion
Creators: name: Morawetz, K.
Publisher: name: arXiv
Year: 2023
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: FOS: Physical sciences

description: Consequences of the consistent exact solution of Einstein-Cartan equation on the time dependence of Hubble parameter are discussed. The torsion leads to a space and time dependent expansion parameter which results into nontrivial windows of Hubble parameter between diverging behaviour. Only one window shows a period of decreasing followed by increasing time dependence. Provided a known cosmological constant and the present values of Hubble and deceleration parameter this changing time can be given in the past as well as the ending time of the windows or universe. The comparison with the present experimental data allows to determine all parameters of the model. Large-scale spatial periodic structures appear. From the metric with torsion outside matter it is seen that torsion can feign dark matter.
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ Ð¸ Ð¿ÑÐ¾ÐµÐºÑÐ¾Ð² Ð½Ð¾Ð²Ð¾Ð²Ð²ÐµÐ´ÐµÐ½Ð¸Ð¹. Ð­ÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¾Ð±Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð¸Ðµ Ð¸Ð½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¿ÑÐ¾ÐµÐºÑÐ¾Ð²
title: ÑÑÐµÐ±Ð½Ð¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: Ð¡ÑÐµÐ¿Ð°Ð½ÑÑÐº, ÐÐ½Ð´ÑÐµÐ¹
name: Ð¤Ð¾Ð¼ÐµÐ½ÐºÐ¾, ÐÐ°ÑÐ¸Ð½Ð°
Publisher: name: ÐÐ·Ð´-Ð²Ð¾ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½. ÑÐ½-ÑÐ°
Year: 2012
Subjects: ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ°
Ð¸Ð½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¸
Ð¸Ð½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½Ñ
ÑÑÐµÐ±Ð½Ð¸ÐºÐ¸ Ð¸ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ñ Ð´Ð»Ñ Ð²ÑÐ·Ð¾Ð²

description: ÐÐ¾ÑÐ¾Ð±Ð¸Ðµ ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÐµÑ ÑÐ¾Ð´ÐµÑÐ¶Ð°Ð½Ð¸Ñ Ð³Ð¾ÑÑÐ´Ð°ÑÑÑÐ²ÐµÐ½Ð½Ð¾Ð³Ð¾ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ ÑÑÐ°Ð½Ð´Ð°ÑÑÐ° Ð¿Ð¾ ÑÐ¿ÐµÑÐ¸Ð°Ð»ÑÐ½Ð¾ÑÑÐ¸ 080507 Â«ÐÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½Ñ Ð¾ÑÐ³Ð°Ð½Ð¸Ð·Ð°ÑÐ¸Ð¸Â» Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ð¹ 080500 Â«ÐÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÂ» Ð¸ 080100 Â«Ð­ÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ°Â». ÐÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¸Ðµ Ð¾ÑÐ½Ð¾Ð²Ñ Ð¿Ð»Ð°Ð½Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¸ Ð¾ÑÐµÐ½ÐºÐ¸ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð¸Ð½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÑ Ð¿ÑÐ¾ÐµÐºÑÐ¾Ð² Ð² ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²Ð¸Ð¸ Ñ Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð¾Ð¹ Ð¼ÐµÑÐ¾Ð´Ð¸ÐºÐ¾Ð¹ Ð¸Ð½Ð²ÐµÑÑÐ¸ÑÐ¸Ð¾Ð½Ð½Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ UNIDO, Ð´Ð°Ð½Ñ Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ðº ÐºÑÑÑÐ¾Ð²Ð¾Ð¼Ñ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¿Ð¾ Ð´Ð¸ÑÑÐ¸Ð¿Ð»Ð¸Ð½Ðµ Â«ÐÐ½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÂ», Ð²ÑÐ¿Ð¾Ð»Ð½ÑÐµÐ¼Ð¾Ð¼Ñ Ð² ÑÐ°Ð¼ÐºÐ°Ñ ÑÐ°Ð·Ð´ÐµÐ»Ð° Â«Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼ Ð¸ Ð¿ÑÐ¾ÐµÐºÑÐ¾Ð² Ð½Ð¾Ð²Ð¾Ð²Ð²ÐµÐ´ÐµÐ½Ð¸Ð¹Â». ÐÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¸Ðµ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¸ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ñ Ð´Ð»Ñ Ð´Ð²ÑÑ Ð²Ð°ÑÐ¸Ð°Ð½ÑÐ¾Ð² Ð²ÑÐ¿Ð¾Ð»Ð½ÐµÐ½Ð¸Ñ ÐºÑÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ - Ð¿Ð¾ Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÐµÐ¼Ðµ ÑÑÑÐ´ÐµÐ½ÑÐ° Ð¸ Ð¿Ð¾ Ð¸ÑÑÐ¾Ð´Ð½ÑÐ¼ Ð´Ð°Ð½Ð½ÑÐ¼ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°ÑÐµÐ»Ñ. Ð¢Ð°ÐºÐ¶Ðµ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÐ½ ÑÑÐµÐ±Ð½Ð¾-Ð´ÐµÐ¼Ð¾Ð½ÑÑÑÐ°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¿ÑÐ¸Ð¼ÐµÑ, ÑÐ¾Ð¾ÑÐ²ÐµÑÑÑÐ²ÑÑÑÐ¸Ð¹ Ð¾Ð¿ÑÐ¸Ð¼Ð°Ð»ÑÐ½Ð¾Ð¼Ñ ÑÐ¾Ð´ÐµÑÐ¶Ð°ÑÐµÐ»ÑÐ½Ð¾Ð¼Ñ Ð¾Ð±ÑÐµÐ¼Ñ ÐºÑÑÑÐ¾Ð²Ð¾Ð³Ð¾ Ð¿ÑÐ¾ÐµÐºÑÐ° Ð¿ÑÐ¸ Ð²ÑÐ±Ð¾ÑÐµ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð¼ Ð¸Ð½Ð´Ð¸Ð²Ð¸Ð´ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÐµÐ¼Ñ Ð¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ. ÐÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ Ð´Ð»Ñ ÑÐ»ÑÑÐ°ÑÐµÐ»ÐµÐ¹ ÐºÑÑÑÐ° Â«ÐÐ½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½ÑÐ¹ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÂ» Ð²ÑÑÑÐµÐ¹ ÑÐºÐ¾Ð»Ñ ÑÐ¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ Ð¸ ÑÐ¸Ð½Ð°Ð½ÑÐ¾Ð² ÑÐ°ÐºÑÐ»ÑÑÐµÑÐ° ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸ Ð¸ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÐ°, Ð¼Ð¾Ð¶ÐµÑ Ð¸ÑÐ¿Ð¾Ð»ÑÐ·Ð¾Ð²Ð°ÑÑÑÑ Ð¿ÑÐ¸ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐµ Ð²ÑÐ¿ÑÑÐºÐ½ÑÑ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½ÑÑ ÑÐ°Ð±Ð¾Ñ Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ¾Ð² , ÑÐ¿ÐµÑÐ¸Ð°Ð»Ð¸ÑÑÐ¾Ð² Ð¸ Ð¼Ð°Ð³Ð¸ÑÑÑÐ¾Ð². ÐÐ¾Ð¶ÐµÑ Ð±ÑÑÑ ÑÐ°ÐºÐ¶Ðµ ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð¾Ð²Ð°Ð½Ð¾ Ð´Ð»Ñ ÑÑÑÐ´ÐµÐ½ÑÐ¾Ð² Ð²ÑÐµÑ ÑÐ¾ÑÐ¼ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ ÑÐ°ÐºÑÐ»ÑÑÐµÑÐ° ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸ Ð¸ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÐ°.
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°.
title: Статистика
Creators: name: ELS IPR BOOKS
Publisher: name: EDP Hub (Идипи Хаб), Ай Пи Ар Медиа
Year: 2025

description: В учебном пособии рассмотрены теоретические основы статистики, статистическое наблюдение социально-экономических явлений, статистические методы классификации и группировки, классификация, виды и типы показателей, а также правило построения статистических показателей. Описаны экономические индексы и статистические методы изучения динамики общественных явлений, анализ взаимосвязи социально-экономических явлений, статистика населения и занятости, микроэкономическая статистика и статистика товаров и услуг. Рассмотрены статистические методы оценки финансовых, страховых и бизнес-рисков, методология национального счетоводства и макроэкономических расчетов, статистические показатели денежного обращения, инфляции и цен, биржевой деятельности и налогообложения, статистика финансовых рынков, статистические методы исследования конъюнктуры рынка и деловой активности. Учебное пособие предназначено для студентов, обучающихся по специальностям области образования «Бизнес, управление и право», изучающих дисциплину «Статистика».
Efficient Rewirings for Enhancing Synchronizability of Dynamical Networks
Creators: name: Rad, Ali Ajdari
name: Jalili, Mahdi
name: Hasler, Martin
Publisher: name: arXiv
Year: 2008
Subjects: subject: Physics and Society (physics.soc-ph)
subject: FOS: Physical sciences

description: In this paper, we present an algorithm for optimizing synchronizability of complex dynamical networks. Based on some network properties, rewirings, i.e. eliminating an edge and creating a new edge elsewhere, are performed iteratively avoiding always self-loops and multiple edges between the same nodes. We show that the method is able to enhance the synchronizability of networks of any size and topological properties in a small number of steps that scales with the network size.Although we take the eigenratio of the Laplacian as the target function for optimization, we will show that it is also possible to choose other appropriate target functions exhibiting almost the same performance. The optimized networks are Ramanujan graphs, and thus, this rewiring algorithm could be used to produce Ramanujan graphs of any size and average degree.
Heavy quark diffusion coefficient in heavy-ion collisions via kinetic theory
Creators: name: Boguslavski, Kirill
name: Kurkela, Aleksi
name: Lappi, Tuomas
name: Lindenbauer, Florian
name: Peuron, Jarkko
Publisher: name: arXiv
Year: 2023
Subjects: subject: High Energy Physics - Phenomenology (hep-ph)
subject: Nuclear Theory (nucl-th)
subject: FOS: Physical sciences

description: We compute the heavy quark momentum diffusion coefficient $κ$ using QCD kinetic theory for a system going through bottom-up isotropization in the initial stages of a heavy ion collision. We find that the values of $κ$ are within 30% from a thermal system at the same energy density. When matching for other quantities we observe considerably larger deviations. We also observe that the diffusion coefficient in the transverse direction is larger at high occupation numbers, whereas for an underoccupied system the longitudinal diffusion coefficient dominates. The behavior of the diffusion coefficient can be understood on a qualitative level based on the Debye mass $m_D$ and the effective temperature of soft modes $T_*$. Our results for the kinetic evolution of $κ$ in different directions can be used in phenomenological descriptions of heavy quark diffusion and quarkonium dynamics to include the impact of pre-equilibrium stages.
description: 16 pages, 11 figures, v2: sec IV added including new figures, accepted for publication in PRD
Cosmic Behavior, Statefinder Diagnostic and $w-w^{\prime}$ Analysis for Interacting NADE model in Non-flat Universe
Creators: name: Khodam-Mohammadi, A.
name: Malekjani, M.
Publisher: name: arXiv
Year: 2010
Subjects: subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: We give a brief review of interacting NADE model in non-flat universe. we study the effect of spatial curvature $Ω_{k}$, interaction coefficient $α$ and the main parameter of NADE, $n$, On EoS parameter $w_{d}$ and deceleration parameter $q$. We obtain a minimum value for $n$ in both early and present time, in order to that our DE model crosses the phantom divide. Also in a closed universe, changing the sign of $q$ is strongly dependent on $α$. It has been shown that the quantities $w_{d}$ and $q$ have a different treatment for various spatial curvature. At last, we calculate the statefinder diagnostic and $ w-w^{\prime}$ analysis in non flat universe. In non flat universe, the statefinder trajectory is discriminated by both $n$ and $α$.
description: 18 pages, 4 figures, Accepted in Astrophysics & Space Science Journal
title: ÐÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°Ð½Ð¸Ðµ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼ÐµÑ Ð°Ð½Ð¸ÐºÐ¸ Ð² ÑÐµÑ Ð½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°Ñ Ð¸ Ð²ÑÐ·Ð°Ñ
title: ÑÑÐµÐ±Ð½Ð¾-Ð¼ÐµÑÐ¾Ð´Ð¸ÑÐµÑÐºÐ¾Ðµ Ð¿Ð¾ÑÐ¾Ð±Ð¸Ðµ
titleType: Subtitle
Creators: name: ÐÐ¸Ð»Ð¸Ð½, ÐÐ°Ð²ÐµÐ»
Publisher: name: ÐÐ·Ð´-Ð²Ð¾ ÐÐ¾Ð»Ð¸ÑÐµÑÐ½. ÑÐ½-ÑÐ°
Year: 2014
Subjects: ÐÐµÑ Ð°Ð½Ð¸ÐºÐ°
ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÑ
Ð²ÑÐ·Ñ

description: ÐÐ±ÑÑÐ¶Ð´Ð°ÐµÑÑÑ ÑÐ¾Ð»Ñ Ð¸ Ð¼ÐµÑÑÐ¾ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ ÑÑÐµÐ´Ð¸ Ð´ÑÑÐ³Ð¸Ñ Ð½Ð°ÑÐº Ð¸ Ð² ÑÑÐ½Ð´Ð°Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ð¼ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ð¸ Ð¸Ð½Ð¶ÐµÐ½ÐµÑÐ¾Ð². ÐÑÐ²ÐµÑÐ°ÐµÑÑÑ ÑÐ¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ðµ ÑÐ¾ÑÑÐ¾ÑÐ½Ð¸Ðµ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ Ð² ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ°Ñ Ð¸ Ð²ÑÐ·Ð°Ñ. Ð¤Ð¾ÑÐ¼ÑÐ»Ð¸ÑÑÐµÑÑÑ ÐºÐ¾Ð½ÑÐµÐ¿ÑÐ¸Ñ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°Ð½Ð¸Ñ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸ Ð½Ð° Ð¿ÐµÑÐ²Ð¾Ð¼ Ð¸ Ð²ÑÐ¾ÑÐ¾Ð¼ ÑÑÐ¾Ð²Ð½ÑÑ Ð¾Ð±ÑÑÐµÐ½Ð¸Ñ. ÐÐ°ÐµÑÑÑ Ð¿ÑÐ¸Ð¼ÐµÑÐ½Ð°Ñ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð° Ð²Ð²Ð¾Ð´Ð½Ð¾Ð³Ð¾ ÐºÑÑÑÐ° ÑÐ°ÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð¾Ð¹ Ð¼ÐµÑÐ°Ð½Ð¸ÐºÐ¸. ÐÑÐµÐ´Ð½Ð°Ð·Ð½Ð°ÑÐµÐ½Ð¾ Ð´Ð»Ñ Ð¿ÑÐµÐ¿Ð¾Ð´Ð°Ð²Ð°ÑÐµÐ»ÐµÐ¹ ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ñ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑÐ¾Ð² Ð¸ Ð²ÑÐ·Ð¾Ð².
Swing-up dynamics in quantum emitter cavity systems
Creators: name: Heinisch, Nils
name: Köcher, Nikolas
name: Bauch, David
name: Schumacher, Stefan
Publisher: name: arXiv
Year: 2023
Subjects: subject: Quantum Physics (quant-ph)
subject: Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
subject: FOS: Physical sciences

description: In the SUPER scheme (Swing-UP of the quantum EmitteR population), excitation of a quantum emitter is achieved with two off-resonant, red-detuned laser pulses. This allows generation of high-quality single photons without the need of complex laser stray light suppression or careful spectral filtering. In the present work, we extend this promising method to quantum emitters, specifically semiconductor quantum dots, inside a resonant optical cavity. A significant advantage of the Super scheme is identified in that it eliminates re-excitation of the quantum emitter by suppressing photon emission during the excitation cycle. This, in turn, leads to almost ideal single photon purity, overcoming a major factor typically limiting the quality of photons generated with quantum dots in high quality cavities. We further find that for cavity-mediated biexciton emission of degenerate photon pairs the Super scheme leads to near-perfect biexciton initialization with very high values of polarization entanglement of the emitted photon pairs.
Highly Available Blockchain Nodes With N-Version Design
Creators: name: Ron, Javier
name: Soto-Valero, César
name: Zhang, Long
name: Baudry, Benoit
name: Monperrus, Martin
Publisher: name: arXiv
Year: 2023
Subjects: subject: Software Engineering (cs.SE)
subject: FOS: Computer and information sciences

description: As all software, blockchain nodes are exposed to faults in their underlying execution stack. Unstable execution environments can disrupt the availability of blockchain nodes interfaces, resulting in downtime for users. This paper introduces the concept of N-version Blockchain nodes. This new type of node relies on simultaneous execution of different implementations of the same blockchain protocol, in the line of Avizienis' N-version programming vision. We design and implement an N-version blockchain node prototype in the context of Ethereum, called N-ETH. We show that N-ETH is able to mitigate the effects of unstable execution environments and significantly enhance availability under environment faults. To simulate unstable execution environments, we perform fault injection at the system-call level. Our results show that existing Ethereum node implementations behave asymmetrically under identical instability scenarios. N-ETH leverages this asymmetric behavior available in the diverse implementations of Ethereum nodes to provide increased availability, even under our most aggressive fault-injection strategies. We are the first to validate the relevance of N-version design in the domain of blockchain infrastructure. From an industrial perspective, our results are of utmost importance for businesses operating blockchain nodes, including Google, ConsenSys, and many other major blockchain companies.
title: GEI 042: Oropos. Decree concerning loans for the reconstruction of the wall
Creators: name: Granato, Roberta
Publisher: name: Laboratorio di Storia, Archeologia, Epigrafia e Tradizione dell'antico (SAET) - Scuola Normale Superiore
Year: 2017
Subjects: subject: FOS: Humanities
valueUri: http://www.oecd.org/science/inno/38235147.pdf

description: Edition and commentary of "Oropos. Decree concerning loans for the reconstruction of the wall"
Sudden death of effective entanglement
Creators: name: Roszak, K.
name: Horodecki, P.
name: Horodecki, R.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Quantum Physics (quant-ph)
subject: FOS: Physical sciences

description: Sudden death of entanglement is a well-known effect resulting from the finite volume of separable states. We study the case when the observer has a limited measurement capability and analyse the effective entanglement, i.e. entanglement minimized over the output data. We show that in the well defined system of two quantum dots monitored by single electron transistors, one may observe a sudden death of effective entanglement when real, physical entanglement is still alive. For certain measurement setups, this occurs even for initial states for which sudden death of physical entanglement is not possible at all. The principles of the analysis may be applied to other analogous scenarios, such as etimation of the parameters arising from quantum process tomography.
description: final version, 5 pages, 3 figures
Kaizen: Practical Self-supervised Continual Learning with Continual Fine-tuning
Creators: name: Tang, Chi Ian
name: Qendro, Lorena
name: Spathis, Dimitris
name: Kawsar, Fahim
name: Mascolo, Cecilia
name: Mathur, Akhil
Publisher: name: arXiv
Year: 2023
Subjects: subject: Machine Learning (cs.LG)
subject: FOS: Computer and information sciences

description: Self-supervised learning (SSL) has shown remarkable performance in computer vision tasks when trained offline. However, in a Continual Learning (CL) scenario where new data is introduced progressively, models still suffer from catastrophic forgetting. Retraining a model from scratch to adapt to newly generated data is time-consuming and inefficient. Previous approaches suggested re-purposing self-supervised objectives with knowledge distillation to mitigate forgetting across tasks, assuming that labels from all tasks are available during fine-tuning. In this paper, we generalize self-supervised continual learning in a practical setting where available labels can be leveraged in any step of the SSL process. With an increasing number of continual tasks, this offers more flexibility in the pre-training and fine-tuning phases. With Kaizen, we introduce a training architecture that is able to mitigate catastrophic forgetting for both the feature extractor and classifier with a carefully designed loss function. By using a set of comprehensive evaluation metrics reflecting different aspects of continual learning, we demonstrated that Kaizen significantly outperforms previous SSL models in competitive vision benchmarks, with up to 16.5% accuracy improvement on split CIFAR-100. Kaizen is able to balance the trade-off between knowledge retention and learning from new data with an end-to-end model, paving the way for practical deployment of continual learning systems.
description: Presented at IEEE/CVF Winter Conference on Applications of Computer Vision (WACV) 2024. The code for this work is available at https://github.com/dr-bell/kaizen
Enhancing synchronizability of weighted dynamical networks using betweenness centrality
Creators: name: Jalili, Mahdi
name: Rad, Ali Ajdari
name: Hasler, Martin
Publisher: name: arXiv
Year: 2008
Subjects: subject: Physics and Society (physics.soc-ph)
subject: FOS: Physical sciences

description: By considering the eigenratio of the Laplacian of the connection graph as synchronizability measure, we propose a procedure for weighting dynamical networks to enhance theirsynchronizability. The method is based on node and edge betweenness centrality measures and is tested on artificially const ructed scale-free, Watts-Strogatz and random networks as well as on some real-world graphs. It is also numerically shown that the same procedure could be used to enhance the phase synchronizability of networks of nonidentical oscillators.
On some lower bounds of some symmetry integrals
Creators: name: Coppola, Giovanni
Publisher: name: arXiv
Year: 2010
Subjects: subject: Number Theory (math.NT)
subject: FOS: Mathematics
subject: 11N37, 11N25

description: We study the \lq \lq symmetry integral\rq \rq, \thinspace say $I_f$, of some arithmetic functions $f:\N \rightarrow \R$; we obtain from lower bounds of $I_f$ (for a large class of arithmetic functions $f$) lower bounds for the \lq \lq Selberg integral\rq \rq \thinspace of $f$, say $J_f$ (both these integrals give informations about $f$ in almost all the short intervals $[x-h,x+h]$, when $N\le x\le 2N$). In particular, when \thinspace $f=d_k$, the divisor function (having Dirichlet series \thinspace $ζ^k$, with \thinspace $ζ$ \thinspace the Riemann zeta function), where $k\ge 3$ is integer, we give lower bounds for the Selberg integrals, say \thinspace $J_k=J_{d_k}$, of the \thinspace $d_k$. We apply elementary methods (Cauchy inequality to get Large Sieve type bounds) in order to give $I_f$ lower bounds.
description: PlainTeX(10 p.).Improved results,corrected previous(v1)Lemma (on discrete mean-square,not integral!)
Unified Theory of Hastatic order and Antiferromagnetism in URu$_2$Si$_2$
Creators: name: Kornjača, Milan
name: Flint, Rebecca
Publisher: name: arXiv
Year: 2023
Subjects: subject: Strongly Correlated Electrons (cond-mat.str-el)
subject: FOS: Physical sciences

description: The hidden order phase of URu$_2$Si$_2$ has eluded identification for over thirty-five years. A compelling proposal that explains the Ising heavy-fermion nature of the material is \emph{hastatic order}: a symmetry breaking heavy-Fermi liquid arising from a spinorial microscopic hybridization. The original hastatic proposal cannot microscopically model the pressure induced antiferromagnetic phase; and while it predicts a spinorial order parameter, it does not provide any detectable signatures of the spinorial nature. Here, we present a more realistic microscopic model of hastatic order in URu$_2$Si$_2$ based on two conducting electron bands and explore its phase diagram in detail. Our model non-trivially preserves the Ising heavy-fermion physics of the original, while allowing us to tune between the antiferromagnet and hidden order using pressure analogues and magnetic field. Our model is also consistent with recent phenomenological predictions of not one, but two vector order parameters associated with the spinorial order that provide the first microscopic predictions for detecting the spinorial nature.
description: 30 pages, 20 figures
Gravitational waves from merging compact binaries
Creators: name: Hughes, Scott A.
Publisher: name: arXiv
Year: 2009
Subjects: subject: Cosmology and Nongalactic Astrophysics (astro-ph.CO)
subject: General Relativity and Quantum Cosmology (gr-qc)
subject: FOS: Physical sciences

description: Largely motivated by the development of highly sensitive gravitational-wave detectors, our understanding of merging compact binaries and the gravitational waves they generate has improved dramatically in recent years. Breakthroughs in numerical relativity now allow us to model the coalescence of two black holes with no approximations or simplifications. There has also been outstanding progress in our analytical understanding of binaries. We review these developments, examining merging binaries using black hole perturbation theory, post-Newtonian expansions, and direct numerical integration of the field equations. We summarize these approaches and what they have taught us about gravitational waves from compact binaries. We place these results in the context of gravitational-wave generating systems, analyzing the impact gravitational wave emission has on their sources, as well as what we can learn about them from direct gravitational-wave measurements.
description: 90 pages, 12 figures. Invited review to appear in Annual Reviews of Astronomy and Astrophysics. Further minor tweaks in response to reader feedback
title: Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÑÑÐ°ÑÐµÐ³Ð¸Ð¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ (Ð½Ð° Ð¿ÑÐ¸Ð¼ÐµÑÐµ ÐÐÐ Â«ÐÐµÐ½ÑÐ°Â»)
title: Ð¼Ð°Ð³Ð¸ÑÑÐµÑÑÐºÐ°Ñ Ð´Ð¸ÑÑÐµÑÑÐ°ÑÐ¸Ñ
titleType: Subtitle
Creators: name: Ð¨ÐµÐ»ÐµÐ¿Ð¾Ð², ÐÐ½Ð´ÑÐµÐ¹
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Ð¾ÑÐ³Ð¾Ð²ÑÐµ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ
ÑÑÑÐ°ÑÐµÐ³Ð¸Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ
ÑÑÑÐ°ÑÐµÐ³Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½Ñ
trade enterprise
development strategy
strategic management

description: ÐÐ±ÑÐµÐºÑÐ¾Ð¼ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐ²Ð»ÑÐµÑÑÑ ÑÑÑÐ°ÑÐµÐ³Ð¸Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ ÐÐÐ Â«ÐÐµÐ½ÑÐ°Â». Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ - ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐºÐ° ÑÐµÐºÐ¾Ð¼ÐµÐ½Ð´Ð°ÑÐ¸Ð¹ Ð¿Ð¾ ÑÐ¾Ð²ÐµÑÑÐµÐ½ÑÑÐ²Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÑÑÐ°ÑÐµÐ³Ð¸Ð¸ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ. Ð Ð¿ÑÐ¾ÑÐµÑÑÐµ Ð½Ð°Ð¿Ð¸ÑÐ°Ð½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¿ÑÐ¾Ð²Ð¾Ð´Ð¸Ð»Ð¸ÑÑ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ ÑÐµÐ¾ÑÐµÑÐ¸ÑÐµÑÐºÐ¸Ñ Ð¾ÑÐ½Ð¾Ð² ÑÑÑÐ°ÑÐµÐ³Ð¸ÑÐµÑÐºÐ¾Ð³Ð¾ Ð¼ÐµÐ½ÐµÐ´Ð¶Ð¼ÐµÐ½ÑÐ°, Ð°Ð½Ð°Ð»Ð¸Ð· ÑÐµÐºÑÑÐµÐ¹ ÑÑÑÐ°ÑÐµÐ³Ð¸Ð¸ Ð½Ð° Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ð¸ ÐÐÐ Â«ÐÐµÐ½ÑÐ°Â». Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð±ÑÐ»Ð¸ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ñ Ð½Ð°Ð¿ÑÐ°Ð²Ð»ÐµÐ½Ð¸Ñ ÐºÐ¾ÑÑÐµÐºÑÐ¸ÑÐ¾Ð²ÐºÐ¸ Ð¸ ÑÑÐ¾ÑÐ½ÐµÐ½Ð¸Ñ ÑÐµÐºÑÑÐµÐ¹ ÑÑÑÐ°ÑÐµÐ³Ð¸Ð¸ ÐºÐ¾Ð¼Ð¿Ð°Ð½Ð¸Ð¸.
description: The object of study is the strategy of development of LLC "Lenta". The work purpose - development of recommendations for improving the strategy development company's. In the process of writing the work was carried out research of theoretical bases of motivation, analysis strategic management, analysis of the current strategy of the company LLC "Lenta". The study of measures were proposed a way forward adjustments and refinement the company's current strategy.
title: ÐÑÐ¾ÐµÐºÑ Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾-Ð¾ÑÐ¾Ð¿Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð¢Ð­Ð¦ Ð´Ð»Ñ ÐÐÐ Â«Ð¢Ð²ÐµÑÑÐºÐ¾Ð¹ Ð²Ð°Ð³Ð¾Ð½Ð¾ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð·Ð°Ð²Ð¾Ð´Â» Ð³. Ð¢Ð²ÐµÑÑ
title: Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÑÐºÐ°Ñ ÑÐ°Ð±Ð¾ÑÐ°
titleType: Subtitle
Creators: name: ÐÑÐ°ÑÐ¸Ð»ÑÐ½Ð¸ÐºÐ¾Ð²Ð°, ÐÐ»ÑÐ³Ð°
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¢Ð­Ð¦
ÑÐµÐ¿Ð»Ð¾Ð²Ð°Ñ Ð½Ð°Ð³ÑÑÐ·ÐºÐ°
Ð¿Ð°ÑÐ¾Ð²Ð°Ñ ÑÑÑÐ±Ð¸Ð½Ð°
ÑÐµÐ¿Ð»Ð¾Ð²Ð°Ñ ÑÑ ÐµÐ¼Ð°
ÑÐ¸ÑÑÐµÐ¼Ð° ÑÐ¾Ð¿Ð»Ð¸Ð²Ð¾Ð¿Ð¾Ð´Ð°ÑÐ¸

description: Ð Ð´Ð°Ð½Ð½Ð¾Ð¹ ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ»Ð° ÑÐ¿ÑÐ¾ÐµÐºÑÐ¸ÑÐ¾Ð²Ð°Ð½Ð° Ð¿ÑÐ¾Ð¼ÑÑÐ»ÐµÐ½Ð½Ð¾-Ð¾ÑÐ¾Ð¿Ð¸ÑÐµÐ»ÑÐ½Ð°Ñ Ð¢Ð­Ð¦ Ð´Ð»Ñ ÐÐÐ Â«Ð¢Ð²ÐµÑÑÐºÐ¾Ð¹ Ð²Ð°Ð³Ð¾Ð½Ð¾ÑÑÑÐ¾Ð¸ÑÐµÐ»ÑÐ½ÑÐ¹ Ð·Ð°Ð²Ð¾Ð´Â» Ð³. Ð¢Ð²ÐµÑÑ, ÐºÐ¾ÑÐ¾ÑÐ°Ñ Ð±ÑÐ´ÐµÑ Ð¾Ð±ÐµÑÐ¿ÐµÑÐ¸Ð²Ð°ÑÑ ÑÑÐ¾ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ðµ ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ð¹ ÑÐ½ÐµÑÐ³Ð¸ÐµÐ¹ Ð² Ð²Ð¸Ð´Ðµ Ð³Ð¾ÑÑÑÐµÐ¹ Ð²Ð¾Ð´Ñ Ð½Ð° Ð¾ÑÐ¾Ð¿Ð»ÐµÐ½Ð¸Ðµ, Ð²ÐµÐ½ÑÐ¸Ð»ÑÑÐ¸Ñ Ð¸ Ð³Ð²Ñ, ÑÐ»ÐµÐºÑÑÐ¸ÑÐµÑÐºÐ¾Ð¹ ÑÐ½ÐµÑÐ³Ð¸ÐµÐ¹ Ð¸ Ð¿Ð°ÑÐ¾Ð¼ Ð½Ð° ÑÐµÑÐ½Ð¾Ð»Ð¾Ð³Ð¸ÑÐµÑÐºÐ¸Ðµ Ð½ÑÐ¶Ð´Ñ. ÐÑÐ¾Ð¼Ðµ ÑÐ¾Ð³Ð¾, ÑÐ°ÑÑÑ ÑÐµÐ¿Ð»Ð¾Ð²Ð¾Ð¹ ÑÐ½ÐµÑÐ³Ð¸Ð¸ Ð¾Ñ Ð¢Ð­Ð¦ Ð±ÑÐ´ÐµÑ Ð¿Ð¾Ð´Ð°Ð²Ð°ÑÑÑÑ ÐºÐ¾Ð¼Ð¼ÑÐ½Ð°Ð»ÑÐ½Ð¾-Ð±ÑÑÐ¾Ð²ÑÐ¼ Ð¿Ð¾ÑÑÐµÐ±Ð¸ÑÐµÐ»ÑÐ¼.Ð ÑÐ°Ð±Ð¾ÑÐµ Ð±ÑÐ» ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½ Ð³ÐµÐ½ÐµÑÐ°Ð»ÑÐ½ÑÐ¹ Ð¿Ð»Ð°Ð½ Ð¢Ð­Ð¦, Ð²ÑÐ±ÑÐ°Ð½Ð¾ Ð¾ÑÐ½Ð¾Ð²Ð½Ð¾Ðµ Ð¸ Ð²ÑÐ¿Ð¾Ð¼Ð¾Ð³Ð°ÑÐµÐ»ÑÐ½Ð¾Ðµ Ð¾Ð±Ð¾ÑÑÐ´Ð¾Ð²Ð°Ð½Ð¸Ðµ, ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¸ ÑÐ°ÑÑÑÐ¸ÑÐ°Ð½Ð° ÑÐµÐ¿Ð»Ð¾Ð²Ð°Ñ ÑÑÐµÐ¼Ð°, Ð° ÑÐ°ÐºÐ¶Ðµ ÑÐ°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° ÑÐ¸ÑÑÐµÐ¼Ð° Ð¾Ð±ÐµÑÐ¿ÐµÑÐµÐ½Ð¸Ñ ÑÐ°Ð±Ð¾ÑÑ Ð¢Ð­Ð¦.
title: Ð­ÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ Ð¼Ð°Ð»Ð¾Ð³Ð¾ Ð±Ð¸Ð·Ð½ÐµÑÐ° Ð² ÑÐ°Ð·Ð²Ð¸Ð²Ð°ÑÑÐ¸Ñ ÑÑ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ°Ñ : Ð¼Ð¾Ð´ÐµÐ»Ð¸ Ð¸ Ð¼ÐµÑ Ð°Ð½Ð¸Ð·Ð¼Ñ
title: Ð½Ð°ÑÑÐ½ÑÐ¹ Ð´Ð¾ÐºÐ»Ð°Ð´
titleType: Subtitle
Creators: name: ÐÐ¸ÐºÐ¾Ð»Ñ Ð¤ÑÐ°Ð½ÑÑÐ° Ð¡Ð¾Ð¼Ð³Ð° ÐÐ¸ÑÐ¾Ð³Ð°
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Ð°Ð»ÑÐµ Ð¿ÑÐµÐ´Ð¿ÑÐ¸ÑÑÐ¸Ñ
ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ°Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÑ
Ð³Ð¾ÑÑÐ´Ð°ÑÑÑÐ²ÐµÐ½Ð½Ð°Ñ Ð¿Ð¾Ð´Ð´ÐµÑÐ¶ÐºÐ°
ÑÐ°Ð·Ð²Ð¸Ð²Ð°ÑÑÐ¸ÐµÑÑ ÑÑÑÐ°Ð½Ñ

description: Ð Ð½Ð°ÑÑÐ½Ð¾Ð¼ Ð´Ð¾ÐºÐ»Ð°Ð´Ðµ Ð¾ÑÑÐ°Ð¶Ð°ÑÑÑÑ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÑ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼Ð¾Ð³Ð¾ Ð¿Ð¾Ð½ÑÑÐ¸Ñ Â«Ð¼Ð°Ð»ÑÐ¹ Ð±Ð¸Ð·Ð½ÐµÑÂ» Ð¸ Ð¿ÑÐµÐ´Ð»Ð¾Ð¶ÐµÐ½Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÐµ Ð¿Ð¾Ð´ÑÐ¾Ð´Ñ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°ÑÐµÐ»ÑÐ½Ð¾Ð¹ Ð¸ Ð¿ÑÐµÐ´Ð¿ÑÐ¸Ð½Ð¸Ð¼Ð°ÑÐµÐ»ÑÑÐºÐ¾Ð¹ Ð´ÐµÑÑÐµÐ»ÑÐ½Ð¾ÑÑÐ¸. ÐÐ·ÑÑÐµÐ½Ð° Ð¼Ð°ÐºÑÐ¾ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÑÐµÑÐºÐ°Ñ ÑÐ¾Ð»Ñ ÑÐ°Ð·Ð²Ð¸ÑÐ¸Ñ Ð¼Ð°Ð»Ð¾Ð³Ð¾ Ð±Ð¸Ð·Ð½ÐµÑÐ° Ð² ÑÑÐ½Ð¾ÑÐ½Ð¾Ð¹ ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐµ ÐÑÑÐ¸ÐºÐ¸. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½ Ð°ÐºÑÐµÐ½Ñ Ð¸Ð·ÑÑÐµÐ½Ð¸Ñ Ð¿Ð¾Ð²ÐµÐ´ÐµÐ½Ð¸Ñ ÑÐ°Ð·Ð»Ð¸ÑÐ½ÑÑ Ð²Ð¸Ð´Ð¾Ð² ÑÑÐ±ÑÐµÐºÑÐ¾Ð² ÑÐºÐ¾Ð½Ð¾Ð¼Ð¸ÐºÐ¸. ÐÑÐ¾Ð¸Ð·Ð²ÐµÐ´ÐµÐ½Ð° Ð¾ÑÐµÐ½ÐºÐ° Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»Ð° Ð¼Ð°Ð»Ð¾Ð³Ð¾ Ð¸ ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð±Ð¸Ð·Ð½ÐµÑÐ° Ñ Ð¿Ð¾Ð¼Ð¾ÑÑÑ Ð¼ÐµÑÐ¾Ð´Ð° ÑÐµÐ¹ÑÐ¸Ð½Ð³Ð¾Ð²ÑÑ Ð¾ÑÐµÐ½Ð¾Ðº Ð¿Ð¾ÑÑÐµÐ´ÑÑÐ²Ð¾Ð¼ Ð¸Ð½Ð´Ð¸ÐºÐ°ÑÐ¾ÑÐ¾Ð² ÐÑÐµÐ¼Ð¸ÑÐ½Ð¾Ð³Ð¾ Ð±Ð°Ð½ÐºÐ° Ð´Ð»Ñ ÑÑÐ°Ð²Ð½Ð¸ÑÐµÐ»ÑÐ½Ð¾Ð³Ð¾ Ð°Ð½Ð°Ð»Ð¸Ð·Ð° Ð¼ÐµÐ¶Ð´Ñ ÑÑÑÐ°Ð½Ð°Ð¼Ð¸ ÑÑÐµÑÑÐµÐ³Ð¾ Ð¼Ð¸ÑÐ° Ð¸ ÑÑÑÐ°Ð½Ð¾Ð¹-Ð»Ð¸Ð´ÐµÑÐ¾Ð¼. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¸Ð½ÑÑÐ¸ÑÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿Ð¾ Ð¿Ð¾Ð´Ð³Ð¾ÑÐ¾Ð²ÐºÐµ Ð±Ð»Ð°Ð³Ð¾Ð¿ÑÐ¸ÑÑÐ½Ð¾Ð³Ð¾ Ð¼Ð¸ÐºÑÐ¾ÐºÐ»Ð¸Ð¼Ð°ÑÐ° Ð±Ð¸Ð·Ð½ÐµÑ Ð¾ÐºÑÑÐ¶ÐµÐ½Ð¸Ñ. Ð Ð°Ð·ÑÐ°Ð±Ð¾ÑÐ°Ð½Ð° Ð¸Ð½Ð½Ð¾Ð²Ð°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ ÑÑÑÐµÐºÑÐ¸Ð²Ð½Ð¾ÑÑÐ¸ Ð´Ð»Ñ ÑÑÐ¸Ð¼ÑÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð¼Ð°Ð»Ð¾Ð³Ð¾ Ð¸ ÑÑÐµÐ´Ð½ÐµÐ³Ð¾ Ð±Ð¸Ð·Ð½ÐµÑÐ° ÑÑÑÐ°Ð½ ÐÑÑÐ¸ÐºÐ¸.
Bearing-Based Network Localization Under Randomized Gossip Protocol
Creators: name: Le-Phan, Nhat-Minh
name: Trinh, Minh Hoang
name: Nguyen, Phuoc Doan
Publisher: name: arXiv
Year: 2023
Subjects: subject: Systems and Control (eess.SY)
subject: FOS: Electrical engineering, electronic engineering, information engineering

description: In this paper, we consider a randomized gossip algorithm for the bearing-based network localization problem. Let each sensor node be able to obtain the bearing vectors and communicate its position estimates with several neighboring agents. Each update involves two agents, and the update sequence follows a stochastic process. Under the assumption that the network is infinitesimally bearing rigid and contains at least two beacon nodes, we show that when the updating step-size is properly selected, the proposed algorithm can successfully estimate the actual sensor nodes' positions with probability one. The randomized update provides a simple, distributed, and cost-effective method for localizing the network. The theoretical result is supported with a simulation of a 1089-node sensor network.
description: preprint, 6 pages, 2 figures. Published in the Proceeding of the 12th International Conference on Control, Automation and Information Sciences (ICCAIS). arXiv admin note: text overlap with arXiv:2303.14733