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Analysis of a Legendre spectral element method (LSEM) for the two-dimensional system of a nonlinear stochastic advection-reaction-diffusion modelsApr 12 2019In this work, we develop a Legendre spectral element method (LSEM) for solving the stochastic nonlinear system of advection-reaction-diffusion models. The used basis functions are based on a class of Legendre functions such that their mass and diffuse ... More

Learning Stationary Correlated Equilibria in Constrained General-Sum Stochastic GamesFeb 05 2014Jun 01 2015We study constrained general-sum stochastic games with unknown Markovian dynamics. A distributed constrained no-regret Q-learning scheme (CNRQ) is presented to guarantee convergence to the set of stationary correlated equilibria of the game. Prior art ... More

Decentralized Adaptive Helper Selection in Multi-channel P2P Streaming SystemsJun 10 2014In Peer-to-Peer (P2P) multichannel live streaming, helper peers with surplus bandwidth resources act as micro-servers to compensate the server deficiencies in balancing the resources between different channel overlays. With deployment of helper level ... More

Distributed Power Control for Delay Optimization in Energy Harvesting Cooperative Relay NetworksSep 04 2016We consider cooperative communications with energy harvesting (EH) relays, and develop a distributed power control mechanism for the relaying terminals. Unlike prior art which mainly deal with single-relay systems with saturated traffic flow, we address ... More

Cognitive Forwarding Control in Wireless Ad-Hoc Networks with Slow Fading ChannelsFeb 03 2014Jun 01 2015We propose a decentralized stochastic control solution for the broadcast message dissemination problem in wireless ad hoc networks with slow fading channels. We formulate the control problem as a dynamic robust game which is well justified by two key ... More

Approximating fixed points of asymptotically nonexpansive mappings in Banach spaces by metric projectionsNov 30 2011In this paper, a strong convergence theorem for asymptotically nonexpansive mappings in a uniformly convex and smooth Banach space is proved by using metric projections. This theorem extends and improves the recent strong convergence theorem due to Matsushita ... More

Characterizing of Inner Product Spaces by the Mapping $n_{x,y}$Feb 08 2015For the vectors $x$ and $y$ in a normed linear spaces $X$, the mapping $n_{x,y}: \mathbb{R}\to \mathbb{R}$ is defined by $n_{x,y}(t)=\|x+ty\|$. In this note, comparing the mappings $n_{x,y}$ and $n_{y,x}$ we obtain a simple and useful characterization ... More

A Characterization of Inner Product Spaces Related to the Skew-Angular DistanceJan 06 2013A new refinement of the triangle inequality is presented in normed linear spaces. Moreover, a simple characterization of inner product spaces is obtained by using the skew-angular distance.

A numerical method based on the reproducing kernel Hilbert space method for the solution of fifth-order boundary-value problemsMay 20 2013In this paper, we present a fast and accurate numerical scheme for the solution of fifth-order boundary-value problems. We apply the reproducing kernel Hilbert space method (RKHSM) for solving this problem. The analytic results of the equations have been ... More

(2/2/3)-SAT problem and its applications in dominating set problemsMay 04 2016The satisfiability problem is known to be $\mathbf{NP}$-complete in general and for many restricted cases. One way to restrict instances of $k$-SAT is to limit the number of times a variable can occur. It was shown that for an instance of 4-SAT with the ... More

Generalized moving least squares and moving kriging least squares approximations for solving the transport equation on the sphereApr 11 2019In this work, we apply two meshless methods for the numerical solution of the time-dependent transport equation defined on the sphere in spherical coordinates. The first technique, which was introduced by Mirzaei (BIT Numerical Mathematics, 54 (4) 1041-1063, ... More

The algebraic hyperstructure of elementary particles in physical theoryAug 04 2010Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. ... More

Spectral analysis and multigrid preconditioners for two-dimensional space-fractional diffusion equationsJun 21 2017Fractional diffusion equations (FDEs) are a mathematical tool used for describing some special diffusion phenomena arising in many different applications like porous media and computational finance. In this paper, we focus on a two-dimensional space-FDE ... More

An approximation algorithm for the solution of the nonlinear Lane-Emden type equations arising in astrophysics using Hermite functions collocation methodAug 12 2010In this paper we propose a collocation method for solving some well-known classes of Lane-Emden type equations which are nonlinear ordinary differential equations on the semi-infinite domain. They are categorized as singular initial value problems. The ... More

On the algorithmic complexity of adjacent vertex closed distinguishing colorings number of graphsNov 10 2016An assignment of numbers to the vertices of graph G is closed distinguishing if for any two adjacent vertices v and u the sum of labels of the vertices in the closed neighborhood of the vertex v differs from the sum of labels of the vertices in the closed ... More

Upper bounds for the 2-hued chromatic number of graphs in terms of the independence numberNov 21 2009Jan 26 2015A 2-hued coloring of a graph $G$ (also known as conditional $(k, 2)$-coloring and dynamic coloring) is a coloring such that for every vertex $v\in V(G)$ of degree at least $2$, the neighbors of $v$ receive at least $2$ colors. The smallest integer $k$ ... More

Binary Quadratic Programing for Online Tracking of Hundreds of People in Extremely Crowded ScenesMar 30 2016Multi-object tracking has been studied for decades. However, when it comes to tracking pedestrians in extremely crowded scenes, we are limited to only few works. This is an important problem which gives rise to several challenges. Pre-trained object detectors ... More

Tailed Radio Galaxies as Probes of Cluster Physics in the Square Kilometre Array EraJan 25 2015In recent years, the use of tailed radio galaxies as environmental probes has gained momentum as a method for galaxy cluster detection, examining the dynamics of individual clusters, measuring the density and velocity flows in the intra-cluster medium, ... More

Fractional Sturm-Liouville eigenvalue problems, IDec 28 2017We introduce and present the general solution of three two-term fractional differential equations of mixed Caputo/Riemann Liouville type. We then solve a Dirichlet type Sturm-Liouville eigenvalue problem for a fractional differential equation derived ... More

Stability of Switched Linear Systems under Dwell Time Switching with Piece-Wise Quadratic FunctionsNov 28 2014This paper provides sufficient conditions for stability of switched linear systems under dwell-time switching. Piece-wise quadratic functions are utilized to characterize the Lyapunov functions and bilinear matrix inequalities conditions are derived for ... More

Computation of Partially Invariant Solutions for the Einstein Walker Manifolds' Identifying EquationsJul 31 2014In this paper, partially invariant solutions (PISs) method is applied in order to obtain new four-dimensional Einstein Walker manifolds. This method is based on subgroup classification for the symmetry group of partial differential equations (PDEs) and ... More

Some general new Einstein Walker manifoldsJun 17 2012In this paper, Lie symmetry group method is applied to find the lie point symmetries group of a PDE system that is determined general form of four-dimensional Einstein Walker manifold. Also we will construct the optimal system of one-dimensional Lie subalgebras ... More

Symmetry Reduction of the Two-Dimensional Ricci Flow EquationJul 31 2014This paper is devoted to obtain the one-dimensional group invariant solutions of the two-dimensional Ricci flow ((2D) Rf) equation. By classifying the orbits of the adjoint representation of the symmetry group on its Lie algebra, the optimal system of ... More

On the complexity of deciding whether the regular number is at most twoMar 05 2014The regular number of a graph G denoted by reg(G) is the minimum number of subsets into which the edge set of G can be partitioned so that the subgraph induced by each subset is regular. In this work we answer to the problem posed as an open problem in ... More

Using the morphology and magnetic fields of tailed radio galaxies as environmental probesDec 30 2014Bent-tailed (BT) radio sources have long been known to trace over densities in the Universe up to z ~ 1 and there is increasing evidence this association persists out to redshifts of 2. The morphology of the jets in BT galaxies is primarily a function ... More

Lower Bound For DilatationsOct 13 2016We prove a new lower bound for the dilatation of an arbitrary pseudo-Anosov map on a surface of genus g with n punctures. Our bound improves the former exponential dependence on the genus by a polynomial dependence.

Observational constraints on the oscillating dark energy cosmologiesFeb 13 2019In this study we combine the background and the growth rate data in order to study the ability of the two oscillating dark energy parameterizations, to fit the observational data. Using the likelihood and MCMC method we try to explore the posterior space ... More

Character degrees of extensions of the Suzuki groups $^2B_2(q^2)$Aug 02 2016Let $S$ be a Suzuki group $^2B_2(q^2)$, where $q^2=2^{2f+1}$, $f\geqslant 1$. In this paper, we determine the degrees of the ordinary complex irreducible characters of every group $G$ such that $S\leqslant G\leqslant \Aut(S)$.

Wilson's Theorem for Finite FieldsFeb 19 2006Feb 23 2006In this short note, we introduce an analogue of Wilson's theorem for all nonzero elements $a_1,a_2,...,a_{q-1}$ of a finite filed $\mathbb{F}$ with $|\mathbb{F}|=q\geq 3$, as follows: $$ \sum_{1\leq i_1< i_2<...< i_k\leq q-1}a_{i_1}a_{i_2}... a_{i_k}=\left\lfloor\frac{k}{q-1}\right\rfloor(-1)^q\hspace{10mm}(k=1,2,..., ... More

Recurrence Divisibility TestsJul 16 2005In this note, we are going to introduce some recurrence divisibility tests for all primes except than 2 and 5.

A Remark on the Mandl's InequalityJun 29 2006Jul 25 2006In this note, first we refine Mandl's inequality. Then, we consider the product $p_1p_2... p_n$ and we refine some known lower bounds for it, and we find some upper bounds for it by using Mandl's inequality and its refinement and the AGM-Inequality.

Stability under deformations of Hermite-Einstein almost-Kähler metricsApr 24 2012Sep 30 2013On a 4-dimensional compact symplectic manifold, we consider a smooth family of compatible almost-complex structures such that at time zero the induced metric is Hermite-Einstein almost-K\"ahler metric with zero or negative Hermitian scalar curvature. ... More

On the topologies induced by a coneMar 27 2014Let $A$ be a commutative and unital $\mathbb{R}$-algebra, and $M$ be an Archimedean quadratic module of $A$. We define a submultiplicative seminorm $\|\cdot\|_M$ on $A$, associated with $M$. We show that the closure of $M$ with respect to $\|\cdot\|_M$-topology ... More

Optimal voltage control using singular value decomposition of fast decoupled load flow jacobianAug 06 2018The problem of regulating voltages within the required limits is complicated by the fact that power system supplies power to a vast number of loads and is fed from many generating units. As loads vary, reactive power requirements of the transmission system ... More

Free knot linear interpolation and the Milstein scheme for stochastic differential equationsJun 19 2013The main purpose of this paper is to give a solution to a long-standing unsolved problem concerning the pathwise strong approximation of stochastic differential equations with respect to the global error in the $L_{\infty}$-norm. Typically, one has average ... More

On Thurston's Euler class one conjectureMar 11 2016In 1976, Thurston proved that taut foliations on closed hyperbolic 3-manifolds have Euler class of norm at most one, and conjectured that, conversely, any Euler class with norm equal to one is Euler class of a taut foliation. We construct counterexamples ... More

On injective dimension of local cohomology over regular ringMar 21 2016Let $R$ be a regular local ring containing a field $k$ of characteristic zero and $\I$ be an ideal of $R$. In this paper we study injective dimension of local cohomology module $H_{\I}^i(R)$. We prove if $\Dim_R(H_{\I}^d(R)) \leq 3$ then $\Dim_R(H_{\I}^d(R))-1 ... More

Extremal almost-Kähler metricsAug 06 2009Apr 21 2010We generalize the notions of the Futaki invariant and extremal vector field of a compact K\"ahler manifold to the general almost-Kahler case and show the periodicity of the extremal vector field when the symplectic form represents an integral cohomology ... More

A family of four-variable expanders with quadratic growthMay 11 2018We prove that if $g(x,y)$ is a polynomial of constant degree $d$ that $y_2-y_1$ does not divide $g(x_1,y_1)-g(x_2,y_2)$, then for any finite set $A \subset \mathbb{R}$ \[ |X| \gg_d |A|^2, \quad \text{where} \ X:=\left\{\frac{g(a_1,b_1)-g(a_2,b_2)}{b_2-b_1} ... More

Lower bound for the Perron-Frobenius degrees of Perron numbersNov 18 2017Jan 26 2019Using an idea of Doug Lind, we give a lower bound for the Perron-Frobenius degree of a Perron number that is not totally-real. As an application, we prove that there are cubic Perron numbers whose Perron-Frobenius degrees are arbitrary large; a result ... More

Pseudo-Anosov maps with small stretch factorsJan 05 2018Jan 11 2018We consider the problem of estimating the minimum entropy of pseudo-Anosov maps on a surface of genus g with n punctures. We determine the behaviour of this minimum number on a two-dimensional subset of the (g,n) plane, up to a multiplicative constant. ... More

The moduli space of curves and its invariantsOct 30 2016This note is about invariants of moduli spaces of curves. It includes their intersection theory and cohomology. Our main focus in on the distinguished piece containing the so called tautological classes. These are the most natural classes on the moduli ... More

On the injective dimension of F-finite modules and holonomic D-modulesMar 21 2016Nov 08 2017Let $R$ be a regular local ring containing a field $k$ of characteristic $p$ and $M$ be an $\mathscr{F}$-finite module. In this paper, we study the injective dimension of $M$. We prove that $\operatorname{dim}_R(M) -1 \leq\operatorname{inj.dim}_R(M)$. ... More

A Comparison between Digital Image Watermarking in Tow Different Color Spaces Using DWT2Jun 20 2012A novel digital watermarking for ownership verification and image authentication applications using discrete wavelet transform (DWT) is proposed in this paper. Most previous proposed watermarking algorithms embed sequences of random numbers as watermarks. ... More

On the decomposition of $n!$ into primesJun 13 2006Nov 23 2007In this note, we approximate the average of prime powers in the decomposition of $n!$ into prime numbers.

Tautological classes on the moduli space of hyperelliptic curves with rational tailsJun 28 2014Jul 14 2014We study tautological classes on the moduli space of stable $n$-pointed hyperelliptic curves of genus $g$ with rational tails. Our result gives a complete description of tautological relations. The method is based on the approach of Yin in comparing tautological ... More

The tautological ring of $M_{1,n}^{ct}$Jul 19 2010We describe the tautological ring of the moduli space of $n$-pointed curves of genus one of compact type. It is proven that it is a Gorenstein algebra.

Classification of cubics up to affine transformationsJul 19 2005Classification of cubics (that is, third order planar curves in the $R^2$ up to certain transformations is interested since Newton, and treated by several authors. We classify cubics up to affine transformations, in seven class, and give a complete set ... More

A New Method for Knowledge Representation in Expert System's (XMLKR)Dec 18 2008Knowledge representation it is an essential section of a Expert Systems, Because in this section we have a framework to establish an expert system then we can modeling and use by this to design an expert system. Many method it is exist for knowledge representation ... More

Dynamical splitting of cubic crystal field levels in rare-earth cage compoundsDec 20 2018Jan 02 2019The Crystalline Electric Field (CEF) influence is usually described by considering an ideally symmetrical rare-earth site. In the case of cage compounds, ample excursions of the rare-earth inside the cage require an adapted CEF description. A corrective, ... More

Influence of the multiple scattering of relativistic electrons on the line width of the backward Parametric X-ray Radiation in the absence of photo absorptionJan 05 2015Feb 05 2015The multiple scattering effect on the line width of the backward Parametric X-ray Radiation (PXR) in the extremely Bragg geometry, produced by low energy relativistic electrons traversing a single crystal, is discussed. It is shown that there exist conditions, ... More

Approximation of the Multiplication Table FunctionMar 28 2006May 02 2006In this paper, considering the concept of Universal Multiplication Table, we show that for every $n\geq 2$, the inequality: $$ M(n)=#\{ij|1\leq i,j\leq n\}\geq\frac{n^2}{\mathfrak{N}(n^2)}, $$ holds true with: $$ \mathfrak{N}(n)=n^{\frac{\log 2}{\log\log ... More

A conjectural connection between R^*(C_g^n) and R^*(M_{g,n}^rt)Dec 16 2014May 04 2017Let M_{g,n}^rt be the moduli space of stable n-pointed curves of genus g>1 with rational tails. We also consider the space C_g^n classifying smooth curves of genus g with not necessarily distinct n ordered points. There is a natural proper map from M_{g,n}^rt ... More

Web geometry of a system of n first order autonomous ordinary differential equationsJul 02 2010Let $dx_i/dt=f_i(x_1,\cdots,x_n)$, ($i=1,\cdots,n$) be a system of $n$ first order autonomous ordinary differential equations. We use E. Cartan's equivalence method to study the invariants of this system under diffeomorphisms of the form $\Phi(t,x_1,\cdots,x_n)=(\varphi_0(t),\varphi_1(x_1),\cdots,\varphi_1(x_1))$. ... More

Stability under deformations of extremal almost-Kähler metrics in dimension 4Apr 21 2010Given a path of almost-K\"ahler metrics compatible with a fixed symplectic form on a compact 4-manifold such that at time zero the almost-K\"ahler metric is an extremal K\"ahler one, we prove, for a short time and under a certain hypothesis, the existence ... More

Group analysis of three dimensional Euler equations of gas dynamicsAug 25 2009In this paper, the equations governing the unsteady flow of a perfect polytropic gas in three space dimensions are considered. The basic similarity reductions for this system are performed. Reduced equations and exact solutions associated with the symmetries ... More

Counting primes in the interval (n^2,(n+1)^2)Jul 04 2006In this note, we show that there are many infinity positive integer values of $n$ in which, the following inequality holds $$ \left\lfloor{1/2}(\frac{(n+1)^2}{\log(n+1)}-\frac{n^2}{\log n})-\frac{\log^2 n}{\log\log n}\right\rfloor\leq\pi\big((n+1)^2\big)-\pi(n^2). ... More

Structure formation in dark energy cosmologies described by PADE parameterizationApr 04 2019We study the imprints on the formation of cosmic structures of a particular class of dark energy parameterizations dubbed PADE parameterization. Here we investigate how dark energy can affect the growth of large scale structures of the universe in framework ... More

Integral representation of linear functionals on function spacesMar 27 2014Let $A$ be a vector space of real valued functions on a non-empty set $X$ and $L:A\rightarrow\mathbb{R}$ a linear functional. Given a $\sigma$-algebra $\mathcal{A}$, of subsets of $X$, we present a necessary condition for $L$ to be representable as an ... More

Strictly nearly Kahler 6-manifolds are not compatible with symplectic formsOct 26 2006Nov 06 2006We show that the almost complex structure underlying a non-Kahler, nearly Kahler 6-manifold (in particular, the standard almost complex structure of S^6) cannot be compatible with any symplectic form, even locally.

The tautological ring of the moduli space M_{2,n}^rtJan 27 2011We study the tautological ring of the moduli space of stable n-pointed curves of genus two with rational tails. The algebra is described in terms of explicit generators and relations. It is proven that this algebra is Gorenstein.

The Chow ring of the moduli space of curves of genus zeroJan 04 2011After recalling several constructions of the moduli space of curves of genus zero by different people we give our alternative construction of the moduli space. This gives a simple description of the intersection ring of this space. We give a basis for ... More

The centrifugal Jahn-Teller effect in rare-earth cage systemsJul 17 2015The analysis of the properties of rare-earth based materials relies on the Crystalline Electric Field theory. This theory has to be reconsidered in case of cage-type compounds, where the rare-earth ion can substantially depart from its, high symmetry, ... More

A universal coefficient theorem for twisted K-theoryJan 26 2010Jan 28 2010In this paper, we recall the definition of twisted K-theory in various settings. We prove that for a twist $\tau$ corresponding to a three dimensional integral cohomology class of a space X, there exist a "universal coefficient" isomorphism K_{*}^{\tau}(X)\cong ... More

Counting and Computing by $e$Jun 26 2006In this paper we count the number of paths and cycles in complete graphs by using the number $e$. Also, we compute the number of derangements in same way. Connection by $e$ yields some nice formulas for the number of derangements, such as $D_n=\lfloor\frac{n!+1}{e}\rfloor$ ... More

A Novel Effective, Secure and Robust CDMA Digital Image Watermarking in YUV Color Space Using DWT2Jun 19 2012This paper is allocated to CDMA digital images watermarking for ownership verification and image authentication applications, which for more security, watermark W is converted to a sequence and then a random binary sequence R of size n is adopted to encrypt ... More

The Generalized Classical Time-SpaceNov 18 2007The newest model for space-time is based on sub-Riemannian geometry. In this paper, we use a combination of Lorentzian and sub-Riemannian geometry, the suggest a new model which likes to its ancestors, but with the most efficient in application. In continuation, ... More

Sharing LRU Cache Resources among Content Providers: A Utility-Based ApproachFeb 06 2017In this paper, we consider the problem of allocating cache resources among multiple content providers. The cache can be partitioned into slices and each partition can be dedicated to a particular content provider, or shared among a number of them. It ... More

Robot eye-hand coordination learning by watching human demonstrations: a task function approximation approachSep 29 2018Feb 27 2019We present a robot eye-hand coordination learning method that can directly learn visual task specification by watching human demonstrations. Task specification is represented as a task function, which is learned using inverse reinforcement learning(IRL) ... More

Long range teleoperation for fine manipulation tasks under time-delay network conditionsMar 21 2019We present a coarse-to-fine approach based semi-autonomous teleoperation system using vision guidance. The system is optimized for long range teleoperation tasks under time-delay network conditions and does not require prior knowledge of the remote scene. ... More

Stabilizing a Molecular Switch at Solid Surfaces: A Density-Functional Theory Study of Azobenzene at Cu(111), Ag(111), and Au(111)Mar 05 2009We present a density-functional theory trend study addressing the binding of the trans-cis conformational switch azobenzene (C6H5-N=N-C6H5) at three coinage metal surfaces. From the reported detailed energetic, geometric, and electronic structure data ... More

Robot eye-hand coordination learning by watching human demonstrations: a task function approximation approachSep 29 2018We present a robot eye-hand coordination learning method that can directly learn visual task specification by watching human demonstrations. Task specification is represented as a task function, which is learned using inverse reinforcement learning(IRL\cite{Abbeel2004}) ... More

Characterizing Interest Aggregation in Content-Centric NetworksMar 25 2016The Named Data Networking (NDN) and Content-Centric Networking (CCN) architectures advocate Interest aggregation as a means to reduce end-to-end latency and bandwidth consumption. To enable these benefits, Interest aggregation must be realized through ... More

DAGER: Deep Age, Gender and Emotion Recognition Using Convolutional Neural NetworkFeb 14 2017Mar 04 2017This paper describes the details of Sighthound's fully automated age, gender and emotion recognition system. The backbone of our system consists of several deep convolutional neural networks that are not only computationally inexpensive, but also provide ... More

Low-Complexity SINR Feasibility Checking and Joint Power and Admission Control in Prioritized Multi-tier Cellular NetworksNov 26 2015Next generation cellular networks will consist of multiple tiers of cells and users associated with different network tiers may have different priorities (e.g., macrocell-picocell-femtocell networks with macro tier prioritized over pico tier, which is ... More

Algebraic Characterization of CNOT-Based Quantum Circuits with its Applications on Logic SynthesisDec 18 2007Apr 09 2010The exponential speed up of quantum algorithms and the fundamental limits of current CMOS process for future design technology have directed attentions toward quantum circuits. In this paper, the matrix specification of a broad category of quantum circuits, ... More

License Plate Detection and Recognition Using Deeply Learned Convolutional Neural NetworksMar 21 2017Mar 28 2017This work details Sighthounds fully automated license plate detection and recognition system. The core technology of the system is built using a sequence of deep Convolutional Neural Networks (CNNs) interlaced with accurate and efficient algorithms. The ... More

A Library-Based Synthesis Methodology for Reversible LogicApr 10 2010In this paper, a library-based synthesis methodology for reversible circuits is proposed where a reversible specification is considered as a permutation comprising a set of cycles. To this end, a pre-synthesis optimization step is introduced to construct ... More

Finding Optimal Flows EfficientlySep 17 2007Among the models of quantum computation, the One-way Quantum Computer is one of the most promising proposals of physical realization, and opens new perspectives for parallelization by taking advantage of quantum entanglement. Since a one-way quantum computation ... More

A Generalized Model for the Classical Relativistic Spinning ParticleJan 22 2015Mar 01 2016Following the Poincare algebra for a free spinning particle and using the Casimirs of the algebra in the Hamiltonian approach, we construct systematically a set of Lagrangians for the relativistic spinning particle which includes the Lagrangian given ... More

Unsupervised Learning of Visual Representations by Solving Jigsaw PuzzlesMar 30 2016Jun 26 2016In this paper we study the problem of image representation learning without human annotation. By following the principles of self-supervision, we build a convolutional neural network (CNN) that can be trained to solve Jigsaw puzzles as a pretext task, ... More

Linear-Depth Quantum Circuits for n-qubit Toffoli gates with no AncillaMar 14 2013We design a circuit structure with linear depth to implement an $n$-qubit Toffoli gate. The proposed construction uses a quadratic-size circuit consists of elementary 2-qubit controlled-rotation gates around the x axis and uses no ancilla qubit. Circuit ... More

On The Significance of Bell's Locality ConditionFeb 23 2000Nov 08 2001Reviewing the general representation of a stochastic local hidden variables theory in the context of an ideal Bohm's version of the EPR experiment, we show explicitly that the violation of Bell's locality condition is due to the assumption of ``outcome ... More

An infinite dimensional pursuit-evasion differential game with finite number of playersJun 02 2015We study a pursuit-evasion differential game with finite number of pursuers and one evader in Hilbert space with geometric constraints on the control functions of players. We solve the game by presenting explicit strategies for pursuers which guarantee ... More

Spherical Cyclic Motions in Euclidean Space E3Apr 15 2012May 20 2015By considering a spatial curve in a Euclidean space, we use its components, together with attaining a cyclic matrix, to show that this matrix is homothetic too and is in correspondence with a homothetic motion. Furthermore, if the curve lies on a unit ... More

Constraint structure and Hamiltonian treatment of Nappi-Witten modelOct 11 2010We investigate the Hamiltonian analysis of Nappi-Witten model (WZW action based on non semi simple gauge group) and find a time dependent non-commutativity by canonical quantization. Our procedure is based on constraint analysis of the model in two parts. ... More

Generalized Quaternion and Rotation in 3-space E (3-alfa,beta)Apr 11 2012Mar 09 2017The paper explains how a unit generalized quaternion is used to represent a rotation of a vector in 3-dimensional space. We review of some algebraic properties of generalized quaternions and operations between them and then show their relation with the ... More

Quaternionic Bott-Chern cohomology and existence of HKT metricsMay 23 2016We study quaternionic Bott-Chern cohomology on compact hypercomplex manifolds and adapt some results from complex geometry to the quaternionic setting. For instance, we prove a criterion for the existence of HKT metrics on compact hypercomplex manifolds ... More

Maximum Eigenmode Relaying with statistical Channel State Information at the RelayNov 16 2012Optimal precoding in the relay is investigated to maximize ergodic capacity of a multiple antenna relay channel. The source and the relay nodes are equipped with multiple antennas and the destination with a single antenna. It is assumed that the channel ... More

Input Current Sensorless Control for a AC-DC Converter with Unknown Load and Source Voltage AmplitudeJul 06 2018Input current estimation is indispensable in the sensorless control algorithms for the problem of power factor compensation (PFC) of an AC-DC boost converter. The system estimator design is challenged by the bilinear form dynamics and uncertain parameters ... More

Input Voltage and Current Sensorless Control of a Single Phase AC-DC Boost ConverterApr 01 2018Jul 09 2018It is well-known that measuring the input voltage and current, as the feedforward and feedback terms, are vital for the controller design in the problem of power factor compensation of an AC-DC boost converter. Traditional adaptive scenarios correspond ... More

Some cohomological notions on ${\mathcal A}\times_T {\mathcal B}$Sep 02 2015Nov 07 2015Associated with two Banach algebras $\mathcal A$ and $\mathcal B$ and a norm decreasing homomorphism $T:{\mathcal B}\rightarrow{\mathcal A}$, there is a certain Banach algebra product ${\mathcal A}\times_T {\mathcal B}$, which is a splitting extension ... More

No-iteration of unknown quantum gatesOct 23 2015Jan 08 2016We propose a new no-go theorem by proving the impossibility of constructing a deterministic quantum circuit that iterates a unitary oracle by calling it only once. Different schemes are provided to bypass this result and to approximately realize the iteration. ... More

The balanced 2-median and 2-maxian problems on a treeMar 27 2018This paper deals with the facility location problems with balancing on allocation clients to servers. Two bi-objective models are considered, in which one objective is the traditional p-median or p-maxian objective and the second is to minimize the maximum ... More

The multiplier algebra and BSE-functions for certain product of Banach algebrasSep 02 2015In this paper, we characterize the (left) multiplier algebra of a semidirect product algebra ${\mathcal A}={\mathcal B}\oplus {\mathcal I}$, where ${\mathcal I}$ and ${\mathcal B}$ are closed two-sided ideal and closed subalgebra of ${\mathcal A}$, respectively. ... More

Examples in Cone Metric Spaces: A SurveyFeb 23 2011May 30 2012In this survey, at first we review to many examples which have been made on cone metric spaces to verify some properties of cones on real Banach spaces and cone metrics and second, in continue like as examples that sandwich theorem doesn't hold and we ... More

Using Orthogonal Channels for Supporting Multicast Service in Multi-channel Wireless Mesh NetworksOct 10 2012Unlike wired networks, the capacity of a wireless network is interference limited due to the broadcast nature of wireless medium. Some multicast wireless network protocols do not consider channel assignment issue, that they cause interference at transmission ... More

Cohomologies on hypercomplex manifoldsJan 23 2017We review some cohomological aspects of complex and hypercomplex manifolds and underline the differences between both realms. Furthermore, we try to highlight the similarities between compact complex surfaces on one hand and compact hypercomplex manifolds ... More

Complexity of Graph State PreparationDec 09 2004The graph state formalism is a useful abstraction of entanglement. It is used in some multipartite purification schemes and it adequately represents universal resources for measurement-only quantum computation. We focus in this paper on the complexity ... More

Limit laws for distorted return time processes for infinite measure preserving transformationsSep 26 2005Mar 23 2006We consider conservative ergodic measure preserving transformations on infinite measure spaces and investigate the asymptotic behaviour of distorted return time processes with respect to sets satisfying a type of Darling-Kac condition. We identify two ... More