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Edge Modes and Asymmetric Wave Transport in Topological Lattices: Experimental Characterization at Finite FrequenciesMay 07 2018Although topological mechanical metamaterials have been extensively studied from a theoretical perspective, their experimental characterization has been lagging. To address this shortcoming, we present a systematic laser-assisted experimental characterization ... More

Isostaticity, auxetic response, surface modes, and conformal invariance in twisted kagome latticesDec 05 2011Model lattices consisting of balls connected by central-force springs provide much of our understanding of mechanical response and phonon structure of real materials. Their stability depends critically on their coordination number $z$. $d$-dimensional ... More

Alignment and Nonlinear Elasticity in Biopolymer GelsFeb 12 2014Oct 14 2014We present a Landau type theory for the non-linear elasticity of biopolymer gels with a part of the order parameter describing induced nematic order of fibers in the gel. We attribute the non-linear elastic behavior of these materials to fiber alignment ... More

Entropic effects in the self-assembly of open lattices from patchy particlesMar 02 2013Open lattices are characterized by low volume-fraction arrangements of building blocks, low coordination number, and open spaces between building blocks. The self-assembly of these lattices faces the challenge of mechanical instability due to their open ... More

Transformable topological mechanical metamaterialsOct 21 2015Mechanical metamaterials are engineered materials that gain their remarkable mechanical properties, such as negative Poisson's ratios, negative compressibility, phononic bandgaps, and topological phonon modes, from their structure rather than composition. ... More

Finite temperature mechanical instability in disordered latticesMar 18 2015Mechanical instability takes different forms in various ordered and disordered systems. We study the effect of thermal fluctuations in two disordered central-force lattice models near mechanical instability: randomly diluted triangular lattice and randomly ... More

Fracturing of topological Maxwell latticesJan 25 2018We present fracturing analysis of topological Maxwell lattices when they are stretched by applied stress. Maxwell lattices are mechanical structures containing equal numbers of degrees of freedom and constraints in the bulk and are thus on the verge of ... More

Phonons and elasticity in critically coordinated latticesMar 04 2015Much of our understanding of vibrational excitations and elasticity is based upon analysis of frames consisting of sites connected by bonds occupied by central-force springs, the stability of which depends on the average number of neighbors per site $z$. ... More

Self-assembly of three-dimensional open structures using patchy colloidal particlesMar 04 2014Open structures can display a number of unusual properties, including a negative Poisson's ratio, negative thermal expansion, and holographic elasticity, and have many interesting applications in engineering. However, it is a grand challenge to self-assemble ... More

Coherent potential approximation of random nearly isostatic kagome latticeAug 12 2010The kagome lattice has coordination number $4$, and it is mechanically isostatic when nearest neighbor ($NN$) sites are connected by central force springs. A lattice of $N$ sites has $O(\sqrt{N})$ zero-frequency floppy modes that convert to finite-frequency ... More

Finite-temperature buckling of an extensible rodJul 09 2015Thermal fluctuations can play an important role in the buckling of elastic objects at small scales, such as polymers or nanotubes. In this paper, we study the finite-temperature buckling transition of an extensible rod by analyzing fluctuation corrections ... More

Rigidity percolation on the square latticeJul 20 2011The square lattice with central forces between nearest neighbors is isostatic with a subextensive number of floppy modes. It can be made rigid by the random addition of next-nearest neighbor bonds. This constitutes a rigidity percolation transition which ... More

Large deviations for functionals of Gaussian processesFeb 12 2018Dec 03 2018We prove large deviation principles for $\int_0^t \gamma(X_s)ds$, where $X$ is a $d$-dimensional Gaussian process and $\gamma(x)$ takes the form of the Dirac delta function $\delta(x)$, $|x|^{-\beta}$ with $\beta\in (0,d)$, or $\prod_{i=1}^d |x_i|^{-\beta_i}$ ... More

Topological mechanics in quasicrystalsSep 24 2018We study topological mechanics in two-dimensional quasicrystalline parallelogram tilings. Topological mechanics has been studied intensively in periodic lattices in the past a few years, leading to the discovery of topologically protected boundary floppy ... More

Folding mechanisms at finite temperatureFeb 08 2018Folding mechanisms are zero elastic energy motions essential to the deployment of origami, linkages, reconfigurable metamaterials and robotic structures. In this paper, we determine the fate of folding mechanisms when such structures are miniaturized ... More

Soft modes and elasticity of nearly isostatic lattices: randomness and dissipationSep 14 2009Apr 15 2010The square lattice with central-force springs on nearest-neighbor bonds is isostatic. It has a zero mode for each row and column, and it does not support shear. Using the Coherent Potential Approximation (CPA), we study how the random addition, with probability ... More

Topological edge floppy modes in disordered fiber networksAug 13 2017Disordered fiber networks are ubiquitous in a broad range of natural (e.g., cytoskeleton) and manmade (e.g., aerogels) materials. In this paper, we discuss the emergence of topological floppy edge modes in these fiber networks as a result of deformation ... More

Elasticity of Filamentous Kagome LatticeJan 05 2013Jan 16 2013The diluted kagome lattice, in which bonds are randomly removed with probability $1-p$, consists of straight lines that intersect at points with a maximum coordination number of four. If lines are treated as semi-flexible polymers and crossing points ... More

Effective Medium Theory of Filamentous Triangular LatticeNov 07 2011Jan 05 2013We present an effective medium theory that includes bending as well as stretching forces, and we use it to calculate mechanical response of a diluted filamentous triangular lattice. In this lattice, bonds are central-force springs, and there are bending ... More

Mechanical instability at finite temperatureJul 08 2014Many physical systems including lattices near structural phase transitions, glasses, jammed solids, and bio-polymer gels have coordination numbers that place them at the edge of mechanical instability. Their properties are determined by an interplay between ... More

Elastic heterogeneity of soft random solidsOct 16 2006Spatial heterogeneity in the elastic properties of soft random solids is investigated via a two-pronged approach. First, a nonlocal phenomenological model for the elastic free energy is examined. This features a quenched random kernel, which induces randomness ... More

Elasticity of highly cross-linked random networksAug 17 2006Starting from a microscopic model of randomly cross-linked particles with quenched disorder, we calculate the Laudau-Wilson free energy S for arbitrary cross-link densities. Considering pure shear deformations, S takes the form of the elastic energy of ... More

Jamming as a Multicritical PointSep 25 2018Jan 10 2019The discontinuous jump in the bulk modulus $B$ at the jamming transition is a consequence of the formation of a critical contact network of spheres that resists compression. We introduce lattice models with underlying under-coordinated compression resistant ... More

Pose-Invariant Face Alignment with a Single CNNJul 19 2017Face alignment has witnessed substantial progress in the last decade. One of the recent focuses has been aligning a dense 3D face shape to face images with large head poses. The dominant technology used is based on the cascade of regressors, e.g., CNN, ... More

Do Convolutional Neural Networks Learn Class Hierarchy?Oct 17 2017Convolutional Neural Networks (CNNs) currently achieve state-of-the-art accuracy in image classification. With a growing number of classes, the accuracy usually drops as the possibilities of confusion increase. Interestingly, the class confusion patterns ... More

Elasticity of randomly diluted honeycomb and diamond lattices with bending forcesJan 22 2016Mar 01 2016We use numerical simulations and an effective-medium theory to study the rigidity percolation transition of the honeycomb and diamond lattices when weak bond-bending forces are included. We use a rotationally invariant bond-bending potential, which, in ... More

Soft random solids and their heterogeneous elasticityDec 20 2008Apr 15 2010Spatial heterogeneity in the elastic properties of soft random solids is examined via vulcanization theory. The spatial heterogeneity in the \emph{structure} of soft random solids is a result of the fluctuations locked-in at their synthesis, which also ... More

Cavity Approach to the Random Solid StateJun 08 2005The cavity approach is used to address the physical properties of random solids in equilibrium. Particular attention is paid to the fraction of localized particles and the distribution of localization lengths characterizing their thermal motion. This ... More

New upper bound on block sensitivity and certificate complexity in terms of sensitivityJun 19 2013Jun 24 2013Sensitivity \cite{CD82,CDR86} and block sensitivity \cite{Nisan91} are two important complexity measures of Boolean functions. A longstanding open problem in decision tree complexity, the "Sensitivity versus Block Sensitivity" question, proposed by Nisan ... More

Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimizationSep 23 2016Recently, the alternating direction method of multipliers (ADMM) has found many efficient applications in various areas; and it has been shown that the convergence is not guaranteed when it is directly extended to the multiple-block case of separable ... More

New separation between $s(f)$ and $bs(f)$Aug 17 2011In this note we give a new separation between sensitivity and block sensitivity of Boolean functions: $bs(f)=(2/3)s(f)^2-(1/3)s(f)$.

Consensus Control for Linear Systems with Optimal Energy CostDec 01 2016In this paper, we design an optimal energy cost controller for linear systems asymptotic consensus given the topology of the graph. The controller depends only on relative information of the agents. Since finding the control gain for such controller is ... More

Optimal output consensus for linear systems: A topology free approachOct 14 2015In this paper, for any homogeneous system of agents with linear continuous time dynamics, we formulate an optimal control problem. In this problem a convex cost functional of the control signals of the agents shall be minimized, while the outputs of the ... More

An Efficient and Distribution-Free Two-Sample Test Based on Energy Statistics and Random ProjectionsJul 14 2017A common disadvantage in existing distribution-free two-sample testing approaches is that the computational complexity could be high. Specifically, if the sample size is $N$, the computational complexity of those two-sample tests is at least $O(N^2)$. ... More

A Statistically and Numerically Efficient Independence Test based on Random Projections and Distance CovarianceJan 21 2017Test of independence plays a fundamental role in many statistical techniques. Among the nonparametric approaches, the distance-based methods (such as the distance correlation based hypotheses testing for independence) have numerous advantages, comparing ... More

On the Optimal Linear Convergence Rate of a Generalized Proximal Point AlgorithmMay 18 2016The proximal point algorithm (PPA) has been well studied in the literature. In particular, its linear convergence rate has been studied by Rockafellar in 1976 under certain condition. We consider a generalized PPA in the generic setting of finding a zero ... More

Convergence analysis of the direct extension of ADMM for multiple-block separable convex minimizationSep 23 2016Nov 14 2016Recently, the alternating direction method of multipliers (ADMM) has found many efficient applications in various areas; and it has been shown that the convergence is not guaranteed when it is directly extended to the multiple-block case of separable ... More

Comparison between Symplectic Integrators and Clean Numerical Simulation for Chaotic Hamiltonian SystemsSep 29 2016In this paper we compare the reliability of numerical simulations given by the classical symplectic integrator (SI) and the clean numerical simulation (CNS) for chaotic Hamiltonian systems. The chaotic H\'{e}non-Heiles system and the famous three-body ... More

On Douglas general $(α,β)$-metricsJun 26 2016Douglas metrics are metrics with vanishing Douglas curvature which is an important projective invariant in Finsler geometry. To find more Douglas metrics, in this paper we consider a class of Finsler metrics called general $(\alpha,\beta)$-metrics, which ... More

Random Walker Models for DurotaxisJun 01 2018Motile biological cells in tissue often display the phenomenon of durotaxis, i.e. they tend to move towards stiffer parts of substrate tissue. The mechanism for this behavior is not completely understood. We consider simplified models for durotaxis based ... More

Fiber networks below the isostatic point: fracture without stress concentrationDec 28 2016Crack nucleation is a ubiquitous phenomena during materials failure, because stress focuses on crack tips. It is known that exceptions to this general rule arise in the limit of strong disorder or vanishing mechanical stability, where stress distributes ... More

Nonlinear elasticity of disordered fiber networksJul 27 2015Disordered biopolymer gels have striking mechanical properties including strong nonlinearities. In the case of athermal gels (such as collagen-I) the nonlinearity has long been associated with a crossover from a bending dominated to a stretching dominated ... More

Physical limits to sensing material propertiesMay 07 2019Constitutive relations describe how materials respond to external stimuli such as forces. All materials respond heterogeneously at small scales, which limits what a localized sensor can discern about the global constitution of a material. In this paper, ... More

A second order in time, uniquely solvable, unconditionally stable numerical scheme for Cahn-Hilliard-Navier-Stokes equationJul 25 2014We propose a novel second order in time numerical scheme for Cahn-Hilliard-Navier- Stokes phase field model with matched density. The scheme is based on second order convex-splitting for the Cahn-Hilliard equation and pressure-projection for the Navier-Stokes ... More

On the Sensitivity Complexity of $k$-Uniform Hypergraph PropertiesAug 24 2016In this paper we investigate the sensitivity complexity of hypergraph properties. We present a $k$-uniform hypergraph property with sensitivity complexity $O(n^{\lceil k/3\rceil})$ for any $k\geq3$, where $n$ is the number of vertices. Moreover, we can ... More

A Distributed One-Step EstimatorNov 04 2015Nov 10 2015Distributed statistical inference has recently attracted enormous attention. Many existing work focuses on the averaging estimator. We propose a one-step approach to enhance a simple-averaging based distributed estimator. We derive the corresponding asymptotic ... More

Interference-Aware Resource Control in Multi-Antenna Cognitive Ad Hoc Networks with Heterogeneous Delay ConstraintsApr 05 2013In this work, we consider a multi-antenna cognitive ad hoc network (CAHNet) with heterogeneous delay requirements. To fulfill the interference and delay constraints simultaneously, we propose to perform adaptive zero-forcing beamforming (ZFBF) at cognitive ... More

Dependence of Electromagnetic Form Factors of Hadrons on Light Cone FramesDec 20 1995A constituent quark model is developed for an arbitrary light- cone direction \omega. Form factors are obtained from free one-body electromagnetic current matrix elements. They are found to be \omega- independent for spin-0 mesons, the nucleon and \Lambda ... More

Capillary-driven binding of thin triangular prisms at fluid interfacesFeb 08 2018We observe capillary-driven binding between thin, equilateral triangular prisms at a flat air-water interface. The edge length of the equilateral triangle face is 120 $\mu m$, and the thickness of the prism is varied between 2 and 20 $\mu m$. For thickness ... More

Rigidity percolation by next-nearest-neighbor braces on generic and regular isostatic latticesDec 20 2014We study rigidity percolation transitions in two-dimensional central-force isostatic lattices, including the square and the kagome lattices, as next-nearest-neighbor bonds ("braces") are randomly added to the system. In particular, we focus on the differences ... More

Criticality and isostaticity in fiber networksNov 30 2010The rigidity of elastic networks depends sensitively on their internal connectivity and the nature of the interactions between constituents. Particles interacting via central forces undergo a zero-temperature rigidity-percolation transition near the isostatic ... More

Elasticity of colloidal gels: structural heterogeneity, foppy modes, and rigidityAug 04 2018Rheological measurements of model colloidal gels reveal that large variations in the shear moduli as colloidal volume-fraction changes are not reflected by simple structural parameters such as the coordination number, which remains almost a constant. ... More

Correlated rigidity percolation and colloidal gelsJul 23 2018Rigidity percolation (RP) occurs when mechanical stability emerges in disordered networks as constraints or components are added. Here we discuss RP with structural correlations, an effect ignored in classical theories albeit relevant to many liquid-to-amorphous-solid ... More

Tighter Relations Between Sensitivity and Other Complexity MeasuresNov 13 2014Sensitivity conjecture is a longstanding and fundamental open problem in the area of complexity measures of Boolean functions and decision tree complexity. The conjecture postulates that the maximum sensitivity of a Boolean function is polynomially related ... More

Non-affine displacements in flexible polymer networksNov 28 2010The validity of the affine assumption in model flexible polymer networks is explored. To this end, the displacements of fluorescent tracer beads embedded in polyacrylamide gels are quantified by confocal microscopy under shear deformation, and the deviations ... More

Smarandache Multi-Space Theory(III)--Map geometries and pseudo-plane geometriesApr 22 2006A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. ... More

Constraining Gravitational and Cosmological Parameters with Astrophysical DataAug 15 2008We use astrophysical data to shed light on fundamental physics by constraining parametrized theoretical cosmological and gravitational models. Gravitational parameters are those constants that parametrize possible departures from Einstein's general theory ... More

Spectra of anti-nucleons in the vacuum of finite nucleiDec 25 2003The quantum vacuum in a many-body system of finite nuclei has been investigated within the relativistic Hartree approach which describes the bound states of nucleons and anti-nucleons consistently. The contributions of the Dirac sea to the source terms ... More

On Algebraic Multi-Ring SpacesOct 22 2005A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with rings in classical ring theory, the conception of multi-ring spaces is introduced. Some characteristics ... More

An Ongoing OGLE Parallax Microlensing Event Toward CarinaSep 13 1999We study the first microlensing event toward the Carina spiral arm discovered by the OGLE collaboration. We demonstrate that this long duration event exhibits strong parallax signatures. Additional information from the parallax effect allows us to determine ... More

On the Fundamental Relationship Determining the Capacity of Static and Mobile Wireless NetworksJul 05 2012Studying the capacity of wireless multi-hop networks is an important problem and extensive research has been done in the area. In this letter, we sift through various capacity-impacting parameters and show that the capacity of both static and mobile networks ... More

Relativistic quantum transport theory for heavy-ion collisionsOct 29 2001Oct 26 2003This paper was withdrawn by the author.

Smarandache Multi-Space Theory(II)--Multi-spaces on graphsApr 22 2006A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. ... More

Combinatorial Structure of Manifolds with Poincaré ConjectureApr 08 2010Jun 18 2010A manifold $M^n$ inherits a labeled $n$-dimensional graph $\widetilde{M}[G^L]$ structure consisting of its charts. This structure enables one to characterize fundamental groups of manifolds, classify those of locally compact manifolds with finite non-homotopic ... More

Automorphism groups of maps, surfaces and Smarandache geometriesMay 16 2005A combinatorial map is a connected topological graph cellularly embedded in a surface. This monograph concentrates on the automorphism group of a map, which is related to the automorphism group of a Klein surface and a Smarandache manifold, also applied ... More

Inverse Magnetic Catalysis in Nambu--Jona-Lasinio Model beyond Mean FieldFeb 21 2016May 13 2016We study inverse magnetic catalysis in the Nambu--Jona-Lasinio model beyond mean field approximation. The feed-down from mesons to quarks is embedded in an effective coupling constant at finite temperature and magnetic field. While the magnetic catalysis ... More

Structure of Compact Stars in Pion Superfluid PhaseFeb 19 2014Jul 19 2014The gross structure of compact stars composed of pion superfluid quark matter is investigated in the frame of Nambu-Jona-Lasinio model. Under the Pauli-Villars regularization scheme, the uncertainty of the thermodynamic functions for inhomogeneous states ... More

Gravitational Microlensing: Past, Present and FutureSep 17 1999Ongoing microlensing surveys have already yielded more than five hundred microlensing events, most of which have been identified in real-time. In this review I present the basic theory and observational status of these surveys. I highlight the discoveries ... More

Pions in magnetic field at finite temperatureAug 30 2018Pions in external magnetic field are investigated in the frame of a Pauli-Villars regularized Nambu--Jona-Lasinio model. The meson propagators in terms of quark bubbles in Ritus and Schwinger schemes are analytically derived, and pion masses are numerically ... More

Open manifold with nonnegative Ricci curvature and collapsing volumeSep 18 2011Jun 13 2012In this paper, an n-dimensional complete open manifold with nonnegative Ricci curvature and collapsing volume has been investigated. If its radial sectional curvature bounded from below, it shows that such a manifold is of finite topological type under ... More

Degree reduction of disk rational Bézier curvesSep 08 2014This paper presents an algorithm for optimal multi-degree reduction of rational disk B\'ezier curve in the $L^{2}$ norm. We start by introducing a novel disk rational B\'ezier based on parallel projection, whose properties are also discussed. Then we ... More

Research on Wireless Multi-hop Networks: Current State and ChallengesAug 22 2011Wireless multi-hop networks, in various forms and under various names, are being increasingly used in military and civilian applications. Studying connectivity and capacity of these networks is an important problem. The scaling behavior of connectivity ... More

Information Resources Management Framework for Virtual EnterpriseDec 09 2015Dec 14 2015Virtual enterprise is a new form of organization in recent years which adapt to the IT environment. Information resources management implemented in the virtual enterprise is determined by the form of business organization and information exchange mechanisms. ... More

Smarandache Multi-Space Theory(I)-Algebraic multi-spacesApr 22 2006A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. ... More

A new view of combinatorial maps by Smarandache's notionJun 13 2005On a geometrical view, the conception of map geometries are introduced, which is a nice model of the Smarandache geometries, also new kind of and more general intrinsic geometry of surface. Results convinced one that map geometries are Smarandache geometries ... More

Chiral Symmetry Restoration and Quark Deconfinement beyond Mean Field in a Magnetized PNJL ModelDec 17 2017We study chiral symmetry restoration and quark deconfinement beyond mean field approximation in a magnetized PNJL model. The feedback from mesons to quarks modifies the quark coupling constant and Polyakov potential. As a result, the separate critical ... More

What PhD students really wantJun 23 2010The road to becoming an astronomer is exciting, but often fraught with danger and conflicting messages. A PhD student is inundated with catch-phrases such as "publish or perish" and "it's not about the quantity, but the quality of work". How do we know ... More

Quantum Algorithm to Solve Satisfiability ProblemsNov 29 2004Feb 28 2005A new quantum algorithm is proposed to solve Satisfiability(SAT) problems by taking advantage of non-unitary transformation in ground state quantum computer. The energy gap scale of the ground state quantum computer is analyzed for 3-bit Exact Cover problems. ... More

A Generalization of Seifert-Van Kampen Theorem for Fundamental GroupsJun 18 2010As we known, the {\it Seifert-Van Kampen theorem} handles fundamental groups of those topological spaces $X=U\cup V$ for open subsets $U, V\subset X$ such that $U\cap V$ is arcwise connected. In this paper, this theorem is generalized to such a case of ... More

On Multi-Metric SpacesOct 22 2005A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining Smarandache multi-spaces with classical metric spaces, the conception of multi-metric space is introduced. Some characteristics of ... More

A criterion for a connected DG algebra to be homologically smoothJan 18 2013Mar 29 2015This paper gives some new results on cone length of DG modules and global dimension of connected DG algebras. Suppose that $M$ is a DG module over a connected DG algebra $A$ such that $H(M)$ is bounded below. It is proved that $M$ admits a minimal semi-free ... More

Effect of tensor couplings in a relativistic Hartree approach for finite nucleiNov 12 2002The relativistic Hartree approach describing the bound states of both nucleons and anti-nucleons in finite nuclei has been extended to include tensor couplings for the $\omega$- and $\rho$-meson. After readjusting the parameters of the model to the properties ... More

On Algebraic Multi-Group SpacesOct 20 2005A Smarandache multi-space is a union of $n$ spaces $A_1,A_2,..., A_n$ with some additional conditions holding. Combining classical of a group with Smarandache multi-spaces, the conception of a multi-group space is introduced in this paper, which is a ... More

Efficiency of Ground State Quantum ComputerNov 03 2004Feb 28 2005The energy gap is calculated for the ground state quantum computer circuit, which was recently proposed by Mizel et.al. When implementing a quantum algorithm by Hamiltonians containing only pairwise interaction, the inverse of energy gap $1/\Delta$ is ... More

Deconfinement Phase Transition with External Magnetic Field in Friedberg-Lee ModelSep 17 2015The deconfinement phase transition with external magnetic field is investigated in the Friedberg-Lee model. In the frame of functional renormalization group, we extend the often used potential expansion method for continuous phase transitions to the first-order ... More

Introduction to Gravitational MicrolensingNov 04 2008The basic concepts of gravitational microlensing are introduced. We start with the lens equation, and then derive the image positions and magnifications. The statistical quantities of optical depth and event rate are then described. We finish with a summary ... More

On-line Non-stationary Inventory Control using Champion CompetitionAug 16 2014Jan 14 2016The commonly adopted assumption of stationary demands cannot actually reflect fluctuating demands and will weaken solution effectiveness in real practice. We consider an On-line Non-stationary Inventory Control Problem (ONICP), in which no specific assumption ... More

A Theoretical Investigation on the Gamma-ray Burst Host GalaxiesMay 11 2010Long-duration gamma-ray bursts(LGRBs) are believed to be linked with the star formation. We adopt a galactic evolution model, in which the star formation process inside the virialized dark halo at given redshift can be achieved. In this paper, the gamma-ray ... More

Drell-Yan process with jet vetoes: breaking of generalized factorizationJul 07 2015Oct 29 2015Resummation of hadron collision cross sections, when the measurement imposes a hierarchy of scales, relies on factorization. Cancellation of Glauber / Coulomb gluons is a necessary condition for factorization. For Drell-Yan-like processes, the known proofs ... More

A multi-space model for Chinese bids evaluation with analyzingMay 18 2006A tendering is a negotiating process for a contract through by a tenderer issuing an invitation, bidders submitting bidding documents and the tenderer accepting a bidding by sending out a notification of award. As a useful way of purchasing, there are ... More

Combinatorial Speculations and the Combinatorial Conjecture for MathematicsJun 28 2006Jul 04 2006Combinatorics is a powerful tool for dealing with relations among objectives mushroomed in the past century. However, an more important work for mathematician is to apply combinatorics to other mathematics and other sciences not merely to find combinatorial ... More

Smarandache Multi-Space Theory(IV)--Application to theoretical physicsApr 22 2006A Smarandache multi-space is a union of $n$ different spaces equipped with some different structures for an integer $n\geq 2$, which can be both used for discrete or connected spaces, particularly for geometries and spacetimes in theoretical physics. ... More

Parallel bundles in planar map geometriesJun 20 2005Parallel lines are very important objects in Euclid plane geometry and its behaviors can be gotten by one's intuition. But in a planar map geometry, a kind of the Smarandache geometries, the sutation is complex since it may contains elliptic or hyperbolic ... More

The Distribution of Integers in a Totally Real Cubic FieldJun 13 2016Hecke studies the distribution of fractional parts of quadratic irrationals with Fourier expansion of Dirichlet series. This method is generalized by Behnke and Ash-Friedberg, to study the distribution of the number of totally positive integers of given ... More

Introduction to the Symbolic Integration SystemSep 23 2013Symbolic integration is an important module of a typical Computer Algebra System. As for now, Mathematica, Matlab, Maple and Sage are all mainstream CAS. They share the same framework for symbolic integration at some points. In this book first we review ... More

From Inverse to Delayed Magnetic Catalysis in Strong Magnetic FieldMay 15 2016We study magnetic field effect on chiral phase transition in a Nambu--Jona-Lasinio model. In comparison with mean field approximation containing quarks only, including mesons as quantum fluctuations in the model leads to a transition from inverse to delayed ... More

Astrophysical Applications of Gravitational MicrolensingJul 16 2012Since the first discovery of microlensing events nearly two decades ago, gravitational microlensing has accumulated tens of TBytes of data and developed into a powerful astrophysical technique with diverse applications. The review starts with a theoretical ... More

Local rigidity of certain actions of solvable groups on the boundaries of rank one symmetric spacesApr 27 2019Let $G$ be the group of orientation-preserving isometries of a rank-one symmetric space $X$ of non-compact type. We study local rigidity of certain actions of a solvable subgroup $\Gamma \subset G$ on the boundary of $X$, which is diffeomorphic to a sphere. ... More

Monotonicity of the first eigenvalue of the Laplace and the p-Laplace operators under a forced mean curvature flowOct 21 2013Dec 23 2013In this paper, we would like to give an answer to \textbf{Problem 1} below issued firstly in [J. Mao, Eigenvalue estimation and some results on finite topological type, Ph.D. thesis, IST-UTL, 2013]. In fact, by imposing some conditions on the mean curvature ... More

A note on convergence analysis of NURBS curve when weights approach infinityApr 15 2016This article considers the convergence of NURBS curve when weights approach infinity. We shows that limit of NURBS curve dose not exist when independent variables weights approach infinity. Further, pointwise convergence uniform convergence and $L^1$ ... More