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hosseiny-khamseh-motlagh--atena
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Node Placement in a Wireless Sensor Networks with Genetic Algorithm
, M.Sc. Thesis Sharif University of Technology ; Seifipour, Navid (Supervisor)
Abstract
Coverage rate is a critical criterion in all of communication networks. In this regard, there are many different methods for distribution of network particles duo to attain the most efficient region of coverage. This emerges from the limited ability of each networks particle both in range of communicate and power consumption. In this thesis an evolutionary method is introduced to how Wireless Sensor Networks (WSN) particles can be dispensed to have more reliable coverage rate. Using both static and mobile sensor packages to cover the desired area and used a cost function, coverage rate, the authors tried to maximize it to have an excellent performance of network. Then proposed algorithm is...
Synthesis of Azacrown Ethers N2O2 Ligands Substituted on the Ullerene and Investigation of Its Coordination Properties
, M.Sc. Thesis Sharif University of Technology ; Ghanbari, Bahram (Supervisor)
Abstract
The goal of this project was study on coordination behavior of the 14-membered macrocyclic ligand of type N2O2 aza-crown while it is attached to fullerene C60 nano-particle. For this purpose, firstly the macrocyclic ligand (Fig 3-1, L1) was synthesized and then was reacted with C60 (Fig 3-1, L2) of which the product was characterized by elemental analysis. Since the product was insoluble in any solvents, further study on its coordination chemistry was impossible. In a second procedure, the macrocyclic ligand was reacted with benzylbromide. The reaction mixture gave two macrocyclic ligands with different number of benzylic pendant groups (Fig 3-1, L3-L4). The products were separated by column...
On holographic realization of logarithmic Galilean conformal algebra
, Article Journal of Mathematical Physics ; Volume 52, Issue 9 , 2011 ; 00222488 (ISSN) ; Naseh, A ; Sharif University of Technology
2011
Abstract
We study two-dimensional logarithmic Galilean conformal algebra (LGCA) by making use of a contraction of topologically massive gravity at critical point. We observe that using a naive contraction at the critical point fails to give a well defined theory, though contracting the theory while we are approaching the critical point leads to a well behaved expression for two point functions of the energy-momentum tensors of LGCA
Fractional Galilean symmetries
, Article Nuclear Physics B ; Volume 910 , 2016 , Pages 336-345 ; 05503213 (ISSN) ; Rouhani, S ; Sharif University of Technology
Elsevier
2016
Abstract
We generalize the differential representation of the operators of the Galilean algebras to include fractional derivatives. As a result a whole new class of scale invariant Galilean algebras are obtained. The first member of this class has dynamical index z=2 similar to the Schrödinger algebra. The second member of the class has dynamical index z=3/2, which happens to be the dynamical index Kardar–Parisi–Zhang equation
Affine extension of Galilean conformal algebra in 2+1 dimensions
, Article Journal of Mathematical Physics ; Volume 51, Issue 5 , Sep , 2010 ; 00222488 (ISSN) ; Rouhani, S ; Sharif University of Technology
2010
Abstract
We show that a class of nonrelativistic algebras including noncentrally extended Schrödinger algebra and Galilean conformal algebra (GCA) has an affine extension in 2+1 hitherto unknown. This extension arises out of the conformal symmetries of the two dimensional complex plane. We suggest that this affine form may be the symmetry that explains the relaxation of some classical phenomena toward their critical point. This affine algebra admits a central extension and maybe realized in the bulk. The bulk realization suggests that this algebra may be derived by looking at the asymptotic symmetry of an Anti-de Sitter (AdS) theory. This suggests that AdS/CFT (conformal field theory) duality may...
Logarithmic correlators in nonrelativistic conformal field theory
, Article Journal of Mathematical Physics ; Volume 51, Issue 10 , 2010 ; 00222488 (ISSN) ; Rouhani, S ; Sharif University of Technology
2010
Abstract
We show how logarithmic terms may arise in the correlators of fields which belong to the representation of the Schrödinger-Virasoro algebra or the affine Galilean conformal algebra (GCA). We show that in GCA, only scaling operator can have a Jordan form and rapidity cannot. We observe that in both algebras, logarithmic dependence appears along the time direction alone
Modelling of organic removal in a Moving Bed Biofilm Reactor (MBBR)
, Article Scientia Iranica ; Volume 9, Issue 1 , 2002 , Pages 53-58 ; 10263098 (ISSN) ; Borghei, S. M ; Sharif University of Technology
Sharif University of Technology
2002
Abstract
In this paper, a new Moving Bed Biofilm Reactor (MBBR) has been developed, in which biomass is attached to small plastic elements that move freely in the bioreactor. The biofilm carrier elements, shaped like small corrugated cylinders, are made of polyethylene with a density of 0.95 gr/cm3 slightly lower than the density of water, allowing them to circulate with the currents in the reactor. The unit was tested under different organic loads and the substrate loading removal rate was compared with predictions of the Kincannon-Stover and Monod models. In this experiment, the influent COD concentration was between 225 mg/l to 4370 mg/l. The Hydraulic Retention Time (HRT) was 24 hr and the...
Non-Relativistic Conformal Symmetries; Infinite Extensions and Logarithmic Representation
, Ph.D. Dissertation Sharif University of Technology ; Rouhani, Shahin (Supervisor)
Abstract
We study different aspects of non-relativistic conformal symmetries. Schrodinger and Galilean Conformal Algebra (GCA) are reviewed extensively. We as well study possible extensions of non-relativistic conformal symmetries. We find a new class of infinite dimensional non-relativistic conformal symmetries in 2+1. We study logarithmic representation of Schrodinger symmetry. As well we utilize contraction approach and obtain both ordinary and logarithmic representations of GCA. Finally we investigate some aspects of logarithmic GCA in the context of holography principle
System Level Modeling and Optimization of Accelerator-CPU Communication in Data Centers
, M.Sc. Thesis Sharif University of Technology ; Goudarzi, Maziar (Supervisor)
Abstract
Due to the data centers rapid growth and introduction of a new basic type of massive data processing platforms which requires accelerators to speedup computation and enhance the efficiency and reduce power consumption, using accelerators is inevitable. Communication and data transfer time between software and hardware is the most of time spent on the use of accelerators. By optimizing this part of the hardware / software platform, we have achieved substantial results in this area. The aim of our study is to organize a survey of real accelerator characteristics. To figure out its defects and main drawbacks, in addition to improving the overall efficiency of system. The implementation of...
Hysteresis of economic networks in an XY model
, Article Physica A: Statistical Mechanics and its Applications ; Volume 513 , 2019 , Pages 644-652 ; 03784371 (ISSN) ; Absalan, M ; Sherafati, M ; Gallegati, M ; Sharif University of Technology
Elsevier B.V
2019
Abstract
Many-body systems can have multiple equilibria. Though the energy of equilibria might be the same, still systems may resist to switch from an unfavored equilibrium to a favored one. In this paper we investigate occurrence of such phenomenon in economic networks. In times of crisis when governments intend to stimulate economy, a relevant question is on the proper size of stimulus bill. To address the answer, we emphasize the role of hysteresis in economic networks. In times of crises, firms and corporations cut their productions; now since their level of activity is correlated, metastable features in the network become prominent. This means that economic networks resist against the recovery...
Analysis of a Lamellar Inhomogeneity Via Repordusing Kernel Particle Method
, M.Sc. Thesis Sharif University of Technology ; Mohammadi Shodja, Hossein (Supervisor)
Abstract
Nowadays, the excellent technological applications of composites have attracted the attentions of industry and numerous scientists. They are advantageous for their high tensile modulus, strength, and promising electrical and thermal properties. In applying the approach of lamellar inhomogeneity to real composites, the micro-geometries of the reinforcement must be considered such that they can be approximated as limiting case of an ellipsoid. In vapor grown carbon nanofiber, the fiber may have a diameter of about 150nm and length of 10-20 µm [1]. The modulus of carbon nanofiber is normally in the range of 100-600 GPa and sometimes even higher, whereas the modulus of some polymers is usually...
A note on isometries of Lipschitz spaces
, Article Journal of Mathematical Analysis and Applications ; Vol. 411, Issue. 2 , 2014 , Pages 555-558 ; ISSN: 0022247X ; Sharif University of Technology
2014
Abstract
The main purpose of this article is to generalize a recent result about isometries of Lipschitz spaces. Botelho, Fleming and Jamison [2] described surjective linear isometries between vector-valued Lipschitz spaces under certain conditions. In this article, we extend the main result of [2] by removing the quasi-sub-reflexivity condition from Banach spaces
An integral type characterization of constant functions on metric-measure spaces
, Article Journal of Mathematical Analysis and Applications ; Volume 385, Issue 1 , January , 2012 , Pages 194-201 ; 0022247X (ISSN) ; Sharif University of Technology
2012
Abstract
The main purpose of this article is to generalize a characterization of constant functions to the context of metric-measure spaces. In fact, we approximate a measurable function, in terms of a certain integrability condition, by Lipschitz functions. Then, similar to Brezis (2002) [2], we establish a necessary and sufficient condition in order that any measurable function which satisfies an integrability condition to be constant a.e. Also, we provide a different proof for the main result of Pietruska-Pałuba (2004) [7] in the setting of Dirichlet forms
Generalized rademacher-stepanov type theorem and applications
, Article Zeitschrift fur Analysis und ihre Anwendung ; Volume 28, Issue 3 , 2009 , Pages 249-275 ; 02322064 (ISSN) ; Sharif University of Technology
2009
Abstract
The main purpose of this article is to generalize a theorem of Stepanov which provides a necessary and sufficient condition for almost everywhere differentiability of functions over Euclidean spaces. We state and prove an Lp-type generalization of the Stepanov theorem and then we extend it to the context of Orlicz spaces. Then, this generalized Rademacher-Stepanov type theorem is applied to the Sobolev and bounded variation maps with values into a metric space. It is shown that several generalized differentiability type theorems are valid for the Sobolev maps from a Lipschitz manifold into a metric space. As a byproduct, it is shown that the Sobolev spaces of Korevaar-Schoen and Reshetnyak...
A non-existence theorem for isometric immersions
, Article Journal of Geometry and Physics ; Volume 59, Issue 3 , 2009 , Pages 263-266 ; 03930440 (ISSN) ; Sharif University of Technology
2009
Abstract
Let f : M {long rightwards arrow} over(M, -) be an isometric immersion between Riemannian manifolds. For certain conditions on M and over(M, -) in terms of curvatures and external diameter, we extend the non-embedding theorem of Chern and Kuiper to the isometric immersions of non-compact manifolds. Also, our results generalize and improve the main results of Jorge and Koutroufiotis [L. Jorge, D. Koutroufiotis, An estimate for the curvature of bounded submanifolds, Amer. J. Math. 103 (4) (1981) 711-725] and Veeravalli [A. R. Veeravalli, A sharp lower bound for the Ricci curvature of bounded hypersurfaces in space forms, Bull. Austral. Math. Soc. 62 (1) (2000) 165-170]. © 2008 Elsevier B.V....
An integral type characterization of lipschitz functions over metric-measure spaces
, Article Journal of Mathematical Analysis and Applications ; Volume 479, Issue 2 , 2019 , Pages 1708-1714 ; 0022247X (ISSN) ; Sharif University of Technology
Academic Press Inc
2019
Abstract
The main purpose of this article is to generalize a characterization of Lipschitz functions in the context of metric-measure spaces. The results are established in the class of metric-measure spaces which satisfy a strong version of the doubling (Bishop-Gromov regularity) condition. Indeed, we establish a necessary and sufficient condition in order that any measurable function which satisfies an integrability condition to be essentially Lipschitzian. © 2019 Elsevier Inc
Isometries of Lipschitz type function spaces
, Article Mathematische Nachrichten ; Volume 291, Issue 11-12 , 2018 , Pages 1899-1907 ; 0025584X (ISSN) ; Sharif University of Technology
Wiley-VCH Verlag
2018
Abstract
In this article, we describe isometries over the Lipschitz spaces under certain conditions. Indeed, we provide a unified proof for the main results of and in a more general setting. Finally, we extend our results for some other functions spaces like the space of vector-valued little Lipschitz maps and pointwise Lipschitz maps. © 2018 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
A remark on the bourgain-brezis-mironescu characterization of constant functions
, Article Houston Journal of Mathematics ; Volume 46, Issue 1 , 2020 , Pages 113-115 ; Sharif University of Technology
University of Houston
2020
Abstract
The purpose of this paper is to describe a simple proof for a result originally presented by H. Brezis in [B], with roots in J. Bourgain, H. Brezis and P. Mironescu [BBM]. © 2020 University of Houston
A remark on isometries of absolutely continuous spaces
, Article Journal of Function Spaces ; Volume 2020 , 2020 ; Sharif University of Technology
Hindawi Limited
2020
Abstract
The purpose of this article is to study the isometries between vector-valued absolutely continuous function spaces, over compact subsets of the real line. Indeed, under certain conditions, it is shown that such isometries can be represented as a weighted composition operator. © 2020 Alireza Ranjbar-Motlagh
Generalizations of the Liouville theorem
, Article Differential Geometry and its Application ; Volume 26, Issue 3 , 2008 , Pages 339-345 ; 09262245 (ISSN) ; Sharif University of Technology
2008
Abstract
The purpose of this paper is to generalize the Liouville theorem for functions which are defined on the complete Riemannian manifolds. Then, we apply it to the isometric immersions between complete Riemannian manifolds in order to obtain an estimate for the size of the image of immersions in terms of the supremum of the length of their mean curvature vector in a quite general setting. The proofs are based on the Calabi's generalization of maximum principle for functions which are not necessarily differentiable. © 2007 Elsevier B.V. All rights reserved