Correspondences Between Fuzzy Equivalence Relations and Kernels: Theoretical Results and Potential Applications

2006 ◽  
Author(s):  
B. Moser ◽  
U. Bodenhofer
Keyword(s):  
Equivalence Relations ◽  
Potential Applications ◽  
Theoretical Results

First-Principles Study of Triangle Terarylene as a Possible Optical Molecular Switch

2011 ◽  
Vol 311-313 ◽  
pp. 526-529
Author(s):  
Cai Juan Xia ◽  
Han Chen Liu ◽  
Ji Xin Yin
Keyword(s):  
First Principles ◽  
Density Functional ◽  
Molecular Switch ◽  
Optical Switches ◽  
Functional Theory ◽  
Closed Ring ◽  
Potential Applications ◽  
Homo Lumo ◽  
Non Equilibrium Green’S Function ◽  
Theoretical Results

Using non-equilibrium Green’s function formalism combined with first-principles density functional theory, we investigate the electronic transport properties of a triangle terarylene(open- and closed-ring forms) optical molecular switch. The influence of the HOMO-LUMO gaps and the spatial distributions of molecular orbitals on the quantum transport through the molecular device is discussed. Theoretical results show that the conductance of the closed-ring is 3-8 times larger than that of open-ring, which expect that this system can be one of good candidates for optical switches due to this unique advantage, and may have some potential applications in future molecular circuit.

Multivariate Simultaneous Generalized ARCH

1995 ◽  
Vol 11 (1) ◽  
pp. 122-150 ◽  
Author(s):  
Robert F. Engle ◽  
Kenneth F. Kroner
Keyword(s):  
Sufficient Conditions ◽  
Likelihood Estimation ◽  
Positive Definiteness ◽  
Covariance Matrices ◽  
Simultaneous Equations ◽  
Equivalence Relations ◽  
Conditional Covariance ◽  
Arch Models ◽  
Necessary And Sufficient ◽  
Theoretical Results

This paper presents theoretical results on the formulation and estimation of multivariate generalized ARCH models within simultaneous equations systems. A new parameterization of the multivariate ARCH process is proposed, and equivalence relations are discussed for the various ARCH parameterizations. Constraints sufficient to guarantee the positive definiteness of the conditional covariance matrices are developed, and necessary and sufficient conditions for covariance stationarity are presented. Identification and maximum likelihood estimation of the parameters in the simultaneous equations context are also covered.

scholarly journals The Convergence of the Legendre–Galerkin Spectral Method for Constructing Atmospheric Acoustic Normal Modes

2020 ◽  
Vol 28 (03) ◽  
pp. 2050002
Author(s):  
Richard B. Evans
Keyword(s):  
Legendre Polynomials ◽  
Normal Modes ◽  
Sobolev Norm ◽  
Linear Operators ◽  
Basis Sets ◽  
Spectral Approximation ◽  
Spectral Approximations ◽  
Potential Applications ◽  
Galerkin Spectral Method ◽  
Theoretical Results

The asymptotic rate of convergence of the Legendre–Galerkin spectral approximation to an atmospheric acoustic eigenvalue problem is established, as the dimension of the approximating subspace approaches infinity. Convergence is in the [Formula: see text] Sobolev norm and is based on the existing theory [F. Chatelin, Spectral Approximations of Linear Operators (SIAM, 2011)]. The assumption is made that the eigenvalues are simple. Numerical results that help interpret the theory are presented. Eigenvalues corresponding to acoustic modes with smaller [Formula: see text] norms are especially accurately approximated, even with lower dimensioned basis sets of Legendre polynomials. The deficiencies in the potential applications of the theoretical results are noted in connection with the numerical examples.

COMPLETE PERIODIC SYNCHRONIZATION OF DELAYED NEURAL NETWORKS WITH DISCONTINUOUS ACTIVATIONS

2010 ◽  
Vol 20 (07) ◽  
pp. 2151-2164 ◽  
Author(s):  
XIAOYANG LIU ◽  
JINDE CAO ◽  
GAN HUANG
Keyword(s):  
Neural Networks ◽  
Control Method ◽  
Linear Matrix ◽  
Delayed Neural Networks ◽  
Discontinuous Activations ◽  
Potential Applications ◽  
Error System ◽  
Discontinuous Activation Functions ◽  
Necessary And Sufficient ◽  
Theoretical Results

Recently, the synchronization issue in chaotic systems has become a hot topic in nonlinear dynamics and has aroused great interest among researchers due to the theoretical significance and potential applications. In this paper, complete periodic synchronization is considered for the delayed neural networks with discontinuous activation functions. Under the framework of Filippov solution, a novel control method is presented by using differential inclusions theory, nonsmooth Lyapunov method and linear matrix inequality (LMI) approach. Based on a newly obtained necessary and sufficient condition, several criteria are derived to ensure the global asymptotical stability of the error system, and thus the response system synchronizes with the drive system. Moreover, the estimation gains are obtained. With these new and effective methods, complete synchronization is achieved. Simulation results are given to illustrate the theoretical results.

Tunable Smith–Purcell radiation from MoS2-based grating

2021 ◽  
pp. 2150463
Author(s):  
Xiaojun Han ◽  
Limei Qi ◽  
Junaid Ahmed Uqaili
Keyword(s):  
Electron Beam ◽  
Molybdenum Disulfide ◽  
Fermi Energy ◽  
Single Layer ◽  
Radiation Frequency ◽  
Visible Band ◽  
Terahertz Band ◽  
Potential Applications ◽  
Theoretical Results ◽  
Good Agreement

Different from the traditional tunable Smith–Purcell (SP) radiation in the graphene-based gratings in the terahertz band, we propose a tunable SP radiation generated from an electron beam passing through a single-layer molybdenum disulfide (MoS2) based grating in the visible band. The comparison between the simulation and the theoretical results shows good agreement. By varying the Fermi energy of MoS2 from 0.025 eV to 0.125 eV for the MoS2-based grating, we can not only control the radiation frequency but also can change the radiation magnitude. The radiation frequency, angle, and magnitude varying with the Fermi energy are also discussed, respectively. These properties would have potential applications in developing tunable visible SP radiation.

scholarly journals Quantum robot: structure, algorithms and applications

Robotica ◽  
2006 ◽  
Vol 24 (4) ◽  
pp. 513-521 ◽  
Author(s):  
Daoyi Dong ◽  
Chunlin Chen ◽  
Chenbin Zhang ◽  
Zonghai Chen
Keyword(s):  
Reinforcement Learning ◽  
Information Acquisition ◽  
Learning Algorithms ◽  
System Structure ◽  
Control Algorithms ◽  
Search Problem ◽  
New Paradigm ◽  
Potential Applications ◽  
Efficient Learning ◽  
Theoretical Results

A brand-new paradigm of robots–quantum robots–is proposed through the fusion of quantum theory with robot technology. A quantum robot is essentially a complex quantum system which generally consists of three fundamental components: multi-quantum computing units (MQCU), quantum controller/actuator, and information acquisition units. Corresponding to the system structure, several learning control algorithms, including quantum searching algorithms and quantum reinforcement learning algorithms, are presented for quantum robots. The theoretical results show that quantum robots using quantum searching algorithms can reduce the complexity of the search problem from O($N^2)$ in classical robots to O($N\sqrt N)$. Simulation results demonstrate that quantum robots are also superior to classical robots in efficient learning under novel quantum reinforcement learning algorithms. Considering the advantages of quantum robots, some important potential applications are also analyzed and prospected.

Water inside carbon nanotubes: structure and dynamics

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Jamal Hassan ◽  
Georgios Diamantopoulos ◽  
Dirar Homouz ◽  
Georgios Papavassiliou
Keyword(s):  
Carbon Nanotubes ◽  
Molecular Dynamics ◽  
Nuclear Magnetic Resonance ◽  
Md Simulations ◽  
Liquid Transport ◽  
Comprehensive Review ◽  
Structure And Dynamics ◽  
Potential Applications ◽  
Nmr Methods ◽  
Theoretical Results

AbstractStudying the properties of water confined in carbon nanotubes (CNTs) have gained a lot of interest in recent years due to the vast potential applications of systems in nanoscale liquid transport as well as biology functions. This article presents a comprehensive review of recent experimental and theoretical results using nuclear magnetic resonance (NMR) and molecular dynamics (MD) simulations. Different NMR methods including

scholarly journals Characterizing entanglement and measurement’s uncertainty in neutrino oscillations

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
Li-Juan Li ◽  
Fei Ming ◽  
Xue-Ke Song ◽  
Liu Ye ◽  
Dong Wang
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Neutrino Oscillations ◽  
Quantum Information Processing ◽  
Dynamical Evolution ◽  
Quantum Properties ◽  
Entanglement Measures ◽  
Potential Applications ◽  
Oscillation Process ◽  
Theoretical Results

AbstractSince neutrino oscillations (NOs) show nonclassical features with the Leggett–Garg inequality and exhibit potential applications in quantum information processing and telecommunications, in order to further reveal quantum properties of the NO systems, we herein focus on investigating entanglement and entropic uncertainty relation in the context of three-flavor NOs. Specifically, we take advantage of three different types of entanglement measures to characterize quantum resources originating from NO systems, and examine the hierarchical relationship among them. Moreover, we analyze the experiment data from different neutrino sources including Daya Bay (0.5 and 1.6 km) and MINOS+ (735 km) collaborations in comparison with our theoretical results. We find that the dynamical evolution of both the entropic uncertainty and entanglement of system shows non-monotonicity, and the experimental results coincide with our theoretical prediction very well. Interestingly, it shows that neutrinos always maintain quantum properties during oscillation process. More importantly, we reveal that the variation of the uncertainty is almost anti-correlated with that of the entanglement of system. Therefore, the nature of entanglement and uncertainty in NOs can be explored in the practical experiment when the three-flavor neutrino states are treated as three-qubit ones, which might be useful for the potential NO-based applications on prospective quantum information processing.

scholarly journals A TESSELLATION MODEL FOR CRACK PATTERNS ON SURFACES

2011 ◽  
Vol 27 (2) ◽  
pp. 73 ◽  
Author(s):  
Werner Nagel ◽  
Joseph Mecke ◽  
Joachim Ohser ◽  
Viola Weiss
Keyword(s):  
Statistical Study ◽  
Crack Pattern ◽  
Crack Patterns ◽  
Random Tessellations ◽  
Potential Applications ◽  
Theoretical Results

This paper presents a model of random tessellations that reflect several features of crack pattern. There are already several theoretical results derivedwhich indicate that thismodel can be an appropriate referencemodel. Some potential applications are presented in a tentative statistical study.

An in situ and ex situ TEM study of the formation of thin cobalt silicide films by molecular beam epitaxy on the silicon (100) surface

1988 ◽  
Vol 46 ◽  
pp. 884-885
Author(s):  
D. Loretto ◽  
J. M. Gibson ◽  
S. M. Yalisove ◽  
R. T. Tung
Keyword(s):  
Molecular Beam Epitaxy ◽  
Molecular Beam ◽  
Defect Density ◽  
High Vacuum ◽  
Ultra High Vacuum ◽  
Ex Situ ◽  
Metal Base ◽  
In Situ Experiments ◽  
Potential Applications

The cobalt disilicide/silicon system has potential applications as a metal-base and as a permeable-base transistor. Although thin, low defect density, films of CoSi2 on Si(111) have been successfully grown, there are reasons to believe that Si(100)/CoSi2 may be better suited to the transmission of electrons at the silicon/silicide interface than Si(111)/CoSi2. A TEM study of the formation of CoSi2 on Si(100) is therefore being conducted. We have previously reported TEM observations on Si(111)/CoSi2 grown both in situ, in an ultra high vacuum (UHV) TEM and ex situ, in a conventional Molecular Beam Epitaxy system.The procedures used for the MBE growth have been described elsewhere. In situ experiments were performed in a JEOL 200CX electron microscope, extensively modified to give a vacuum of better than 10-9 T in the specimen region and the capacity to do in situ sample heating and deposition. Cobalt was deposited onto clean Si(100) samples by thermal evaporation from cobalt-coated Ta filaments.

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