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    A remark on the bourgain-brezis-mironescu characterization of constant functions

    , Article Houston Journal of Mathematics ; Volume 46, Issue 1 , 2020 , Pages 113-115 Ranjbar Motlagh, A ; Sharif University of Technology
    University of Houston  2020
    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  

    Analytic solution to integral equations of liquid state theories for potentials with a hard core at low densities

    , Article Journal of the Physical Society of Japan ; Volume 73, Issue 5 , 2004 , Pages 1197-1204 ; 00319015 (ISSN) Khanpour, M ; Parsafar, G. A ; Najafi, B ; Sharif University of Technology
    Physical Society of Japan  2004
    We present in this paper a general analytical solution to the integral equations of liquid state theories (Born-Green-Yvon, hyper-netted-chain, and Percus-Yevick Equations) at low-density limit for potentials with a hard core. For the specific case of the Lennard-Jones potential with a hard core, we have derived an analytical function for the radial distribution function at high temperature and low density. We have noted that this function has two humps which is the characteristic feature of the radial distribution function at low densities. In addition, this function has been used to calculate the third virial coefficient for such a fluid exactly. We see that for the especial case of... 

    Minimizing the difference of dual functions of two coradiant functions

    , Article Numerical Functional Analysis and Optimization ; Volume 40, Issue 3 , 2019 , Pages 280-302 ; 01630563 (ISSN) Mohebi, A ; Mohebi, H ; Sharif University of Technology
    Taylor and Francis Inc  2019
    In this article, we solve the problem of minimizing the difference of dual functions of two coradiant functions. We do this by applying a type of duality, that is used in microeconomic theory. Indeed, the dual function of a co-radiant function is decreasing and inverse coradiant. So, we first give various characterizations for the maximal elements of the support sets of this class of functions. Next, by using these results, we obtain the necessary and sufficient conditions for the global minimizers of the difference of two decreasing and inverse coradiant functions. Finally, as an application, we present the necessary and sufficient conditions for the global minimizers of the difference of... 

    Nonexistence of limit cycles in two classes of predator-prey systems

    , Article Applied Mathematics and Computation ; Volume 175, Issue 1 , 2006 , Pages 356-365 ; 00963003 (ISSN) Aghajani, A ; Moradifam, A ; Sharif University of Technology
    This paper deals with the question of nonexistence of limit cycles in two famous classes of predator-prey systems. We present some sufficient conditions for the nonexistence of limit cycles in these systems. Our results extend and improve the results presented by Moghadas. © 2005 Elsevier Inc. All rights reserved  

    Electronic properties of hydrogenated quasi-free-standing graphene

    , Article Physica Status Solidi (B) Basic Research ; Volume 248, Issue 11 , OCT , 2011 , Pages 2639-2643 ; 03701972 (ISSN) Haberer, D ; Petaccia, L ; Wang, Y ; Quian, H ; Farjam, M ; Jafari, S. A ; Sachdev, H ; Federov, A. V ; Usachov, D ; Vyalikh, D. V ; Liu, X ; Vilkov, O ; Adamchuk, V. K ; Irle, S ; Knupfer, M ; Büchner, B ; Grüneis, A ; Sharif University of Technology
    Tailoring the electronic properties of graphene is of fundamental interest regarding its application in electronic devices. One of the key strategies is chemical functionalization which modifies the p-electron system and thus can induce band gaps. However, in order to control the degree of functionalization it is crucial to know the exact amount of the chemisorbed species. We show with angle-resolved photoemission spectroscopy (ARPES) the formation of a band gap in graphene and estimate the hydrogen coverage from the scattering rate. Using X-ray photoemission spectroscopy (XPS) we identify the chemical environments in hydrogenated graphene and determine the total hydrogen to carbon... 

    Optimum waist of localized basis functions in truncated series employed in some optical applications

    , Article Applied Optics ; Volume 49, Issue 8 , 2010 , Pages 1210-1218 ; 1559128X (ISSN) Ghasemi, F ; Mehrany, K ; Sharif University of Technology
    The waist parameter is a particularly important factor for functional expansion in terms of localized orthogonal basis functions. We present a systematic approach to evaluate an asymptotic trend for the optimum waist parameter in truncated orthogonal localized bases satisfying several general conditions. This asymptotic behavior is fully introduced and verified for Hermite - Gauss and Laguerre-Gauss bases. As a special case of importance, a good estimate for the optimum waist in projection of discontinuous profiles on localized basis functions is proposed. The importance and application of the proposed estimation is demonstrated via several optical applications  

    Combinatorics comes to the rescue: h-vectors in commutative algebra

    , Article Mathematical Intelligencer ; 2018 ; 03436993 (ISSN) Chin, A. Y. M ; Pournaki, M.R ; Seyed Fakhari, S.A ; Yassemi, S ; Sharif University of Technology
    Springer New York LLC  2018

    A scheme for spatial wave function teleportation in three dimensions

    , Article International Journal of Quantum Information ; Volume 4, Issue 5 , 2006 , Pages 781-790 ; 02197499 (ISSN) Akhavan, O ; Rezakhani, A. T ; Golshani, M ; Sharif University of Technology
    We propose a theoretical scheme for teleportation of a general wave function of a quantum object. In principle, this protocol provides teleportation of discrete N-level spatial states of an object with various degrees of freedom, e.g. spin, in ordinary three-dimensional space. All necessary Bell states and their corresponding operators to measure and reconstruct the initial state are represented. © 2006 World Scientific Publishing Company  

    Periodic solution of a certain non-linear third order differential equation

    , Article Scientia Iranica ; Volume 11, Issue 3 , 2004 , Pages 181-184 ; 10263098 (ISSN) Mehri, B ; Shadman, D ; Sharif University of Technology
    Sharif University of Technology  2004
    In this paper, the third order differential equation x‴ + ψ (x′)x″ + (κ2 +ø (x))x′ + f(t, x = e(t) is considered. Under certain conditions on the functions appearing in the differential equation, the existence of periodic solutions is proved. Similar problems have been treated by authors in [4,6,7]. However, the method employed here is used by Reissig [1] and the results obtained are, in fact, a generalization of those in [1-3]. The conditions imposed on the nonlinear terms do not require the ultimate boundedness of all solutions. © Sharif University of Technology  

    Electrochemical functionalization of graphene nanosheets with catechol derivatives as an effective method for preparation of highly performance supercapacitors

    , Article Electrochimica Acta ; Vol. 147, issue , 2014 , pp. 136-142 ; ISSN: 00134686 Jokar, E ; Shahrokhian, S ; Zad, A. I ; Sharif University of Technology
    Performance enhancement of supercapacitors has been recently discussed. In this paper a novel and facile procedure for functionalization of graphene with some electroactive molecules is presented. The graphene has been functionalized by catechol-based molecules, which are electroactive molecules with electrochemically reversible properties. The functionalized graphene exhibits very effective pseudocapacitor behaviorfor charge storage. For the first time, with the aim of an electrosynthesis procedure, catechol is covalently attached on graphene sheets. This attachment has been investigated by electrochemical, X-ray photoelectron spectroscopy and attenuated total reflectance methods. Catechol... 

    The case for network functions decomposition

    , Article 17th ACM International Conference on emerging Networking EXperiments and Technologies, CoNEXT 2021, 7 December 2021 through 10 December 2021 ; 2021 , Pages 475-476 ; 9781450390989 (ISBN) Shahinfar, F ; Miano, S ; Sanaee, A ; Siracusano, G ; Bifulco, R ; Antichi, G ; ACM SIGCOMM ; Sharif University of Technology
    Association for Computing Machinery, Inc  2021
    This paper makes a case for writing unrestricted eBPF network functions which then get automatically decomposed between kernel and user-space. © 2021 Owner/Author  

    Parametric identification of fractional-order systems using a fractional Legendre basis

    , Article Proceedings of the Institution of Mechanical Engineers. Part I: Journal of Systems and Control Engineering ; Volume 224, Issue 3 , 2010 , Pages 261-274 ; 09596518 (ISSN) Ghanbari, M ; Haeri, M ; Sharif University of Technology
    This paper deals with the identification of fractional-order systems through orthogonal rational functions. Fractional systems are characterized by their non-exponential aperiodic multimodes; therefore, fractional orthogonal rational functions provide better approximating models with fewer parameters. In spite of the fact that the Laguerre-based model is simple, it is, to some extent, deficient at high frequencies. Motivated by this objective, the use of a Legendre basis which has progressive pole locations and can be expected to perform better at high frequencies is studied  

    Decentralized Multi-client Functional Encryption

    , M.Sc. Thesis Sharif University of Technology Asri, Mohammad (Author) ; Khazaii, Shahram (Supervisor)
    Functional encryption is a powerful primitive that enables selective computation on encrypted data. In a functional encryption scheme, a secret key is associated with a function. A user having ciphertext ct=enc(x) and private key sk_f for the function f can compute f(x) and learn nothing else. Functional encryption has two limitations: 1) parties should trust a third trusted party for the key generation process. 2) It does not support cases where the number of function inputs is more than one (potentially produced by different parties). In this thesis, it's have been reviewed works that have been done to eliminate limitations and generalize functional encryption to be more suitable for real... 

    Private sequential function computation

    , Article 2019 IEEE International Symposium on Information Theory, ISIT 2019, 7 July 2019 through 12 July 2019 ; Volume 2019-July , 2019 , Pages 1667-1671 ; 21578095 (ISSN); 9781538692912 (ISBN) Tahmasebi, B ; Maddah Ali, M. A ; Sharif University of Technology
    Institute of Electrical and Electronics Engineers Inc  2019
    In this paper, we introduce the problem of private sequential function computation, where a user wishes to compute a composition of a sequence of K linear functions, in a specific order, for an arbitrary input. The user does not run these computations locally, rather it exploits the existence of N non-colluding servers, each can compute any of the K functions on any given input. However, the user does not want to reveal any information about the desired order of computations to the servers. For this problem, we study the capacity, defined as the supremum of the number of desired computations, normalized by the number of computations done at the servers, subject to the privacy constraint. In... 

    Lebesgue function for multivariate interpolation by radial basis functions

    , Article Applied Mathematics and Computation ; Volume 187, Issue 1 SPEC. ISS , 2007 , Pages 306-314 ; 00963003 (ISSN) Mehri, B ; Jokar, S ; Sharif University of Technology
    Elsevier Inc  2007
    Multivariate interpolation and approximation is a powerful tool for intuition of real world. In this paper we study Lebesgue function and Lebesgue constant for multivariate interpolation by conditionally positive definite RBFs. Also we give a conjecture about similar Bernstein and Erdös problem to multivariate case. © 2006 Elsevier Inc. All rights reserved  

    Vector space generated by the multiplicative commutators of a division ring

    , Article Journal of Algebra and its Applications ; Volume 12, Issue 8 , December , 2013 ; 02194988 (ISSN) Aghabali, M ; Akbari, S ; Ariannejad, M ; Madadi, A ; Sharif University of Technology
    Let D be a division ring with center F. An element of the form xyx -1y-1 ∈ D is called a multiplicative commutator. Let T(D) be the vector space over F generated by all multiplicative commutators in D. In this paper it is shown that if D is algebraic over F and Char(D) = 0, then D = T(D). We conjecture that it is true in general. Among other results it is shown that in characteristic zero if T(D) is algebraic over F, then D is algebraic over F  

    Comparison of transfer functions using estimated rational functions to detect winding mechanical faults in transformers

    , Article Archives of Electrical Engineering ; Volume 61, Issue 1 , 2012 , Pages 85-99 ; 00040746 (ISSN) Bigdeli, M ; Vakilian, M ; Rahimpour, E ; Sharif University of Technology
    As it is found in the related published literatures, the transfer function (TF) evaluation method is the most feasible method for detection of winding mechanical faults in transformers. Therefore, investigation of an accurate method for evaluation of the TFs is very important. This paper presents three new indices to compare the transformer TFs and consequently to detect the winding mechanical faults. These indices are based on estimated rational functions. To develop the method, the necessary measurements are carried out on a 1.3 MVA transformer winding, under intact condition, as well as different fault conditions (axial displacement of winding). The obtained results demonstrate the high... 

    Modified partition functions, consistent anomalies and consistent schwinger terms

    , Article International Journal of Geometric Methods in Modern Physics ; Volume 8, Issue 8 , December , 2011 , Pages 1747-1762 ; 02198878 (ISSN) Varshovi, A. A ; Sharif University of Technology
    A gauge invariant partition function is defined for gauge theories which leads to the standard quantization. It is shown that the descent equations and consequently the consistent anomalies and Schwinger terms can be extracted from this modified partition function naturally  

    State functions: the milestone of fracture

    , Article Archive of Applied Mechanics ; Volume 86, Issue 7 , 2016 , Pages 1311-1324 ; 09391533 (ISSN) Ranjbaran, A ; Ranjbaran, M ; Sharif University of Technology
    Springer Verlag  2016
    The fracture phenomenon is defined via the change of state of structure (entity) between the intact and the fractured end states as the function of the state variable. The twin state functions are defined for the transition of unit of the entity between its two end states. The state ratio is defined as the ratio of the two state functions. The property of the cracked structure is defined as the product of the structure property and the state ratio. The work is then used to derive the main parameters of the fracture mechanics. The work is verified via five examples. © 2016, Springer-Verlag Berlin Heidelberg  

    Multiple utility constrained multi-objective programs using Bayesian theory

    , Article Journal of Industrial Engineering International ; Volume 14, Issue 1 , 2018 , Pages 111-118 ; 17355702 (ISSN) Abbasian, P ; Mahdavi Amiri, N ; Fazlollahtabar, H ; Sharif University of Technology
    SpringerOpen  2018
    A utility function is an important tool for representing a DM’s preference. We adjoin utility functions to multi-objective optimization problems. In current studies, usually one utility function is used for each objective function. Situations may arise for a goal to have multiple utility functions. Here, we consider a constrained multi-objective problem with each objective having multiple utility functions. We induce the probability of the utilities for each objective function using Bayesian theory. Illustrative examples considering dependence and independence of variables are worked through to demonstrate the usefulness of the proposed model. © 2017, The Author(s)