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APPROXIMATION THEORY & ITS APPLICATIONS(New Series) 认领 引用
1
《Analysis in Theory and Applications》 1997年第4期112-115,共4页
关键词 ITS APPLICATIONS APPROXIMATION THEORY New Series
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APPROXIMATION THEORY & ITS APPLICATIONS 认领 引用
2
《Analysis in Theory and Applications》 1994年第4期118-121,共4页
关键词 SP ITS APPLICATIONS APPROXIMATION THEORY
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APPROXIMATION THEORY & ITS APPLICATIONS 认领 引用
3
《Analysis in Theory and Applications》 1995年第4期111-114,共4页
关键词 Sharp ITS APPLICATIONS APPROXIMATION THEORY
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Parameter selection of support vector machine for function approximation based on chaos optimization 认领 引用 被引量：20
4
作者 Yuan Xiaofang Wang Yaonan 《Journal of Systems Engineering and Electronics》 SCIE EI 2008年第1期191-197,共7页
The support vector machine(SVM)is a novel machine learning method,which has the ability to approximate nonlinear functions with arbitrary accuracy.Setting parameters well is very crucial for SVM learning results and g... The support vector machine(SVM)is a novel machine learning method,which has the ability to approximate nonlinear functions with arbitrary accuracy.Setting parameters well is very crucial for SVM learning results and generalization ability,and now there is no systematic,general method for parameter selection.In this article,the SVM parameter selection for function approximation is regarded as a compound optimization problem and a mutative scale chaos optimization algorithm is employed to search for optimal paraxneter values.The chaos optimization algorithm is an effective way for global optimal and the mutative scale chaos algorithm could improve the search efficiency and accuracy.Several simulation examples show the sensitivity of the SVM parameters and demonstrate the superiority of this proposed method for nonlinear function approximation. 展开更多
关键词 learning systems support vector machines(SVM) approximation theory parameter selection optimization.
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THEORY OF ELASTICITY OF AN ANISOTROPIC BODY FOR THE BENDING OF BEAMS 认领 引用 被引量：1
5
作者 罗建辉 李丽娟 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第11期1031-1037,共7页
A theory of elasticity for the bending of orthogonal anisotropic beams was developed in this paper by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transverse... A theory of elasticity for the bending of orthogonal anisotropic beams was developed in this paper by analogy with the special case, which can be obtained by applying the theory of elasticity for bending of transversely isotropic plates to the problems of two dimensions. The authors also presented a method to solve the problems of bending of orthogonal anisotropic beams and a new theory of the deep-beam whose ratio of depth to length is larger. It is pointed out that Reissner's theory which takes into account the effect of transverse shear deformation is not suitable for the components of stress in our case. 展开更多
关键词 Approximation theory Bending (deformation) Elasticity Plates (structural components)
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Simultaneous Perturbation Stochastic Approximation Algorithm Combined with Neural Network and Fuzzy Simulation 认领 引用
6
作者 宁玉富 唐万生 郭长友 《Transactions of Tianjin University》 EI CAS 2008年第1期43-49,共7页
In order to solve three kinds of fuzzy programm model, fuzzy chance-constrained programming mode ng models, i.e. fuzzy expected value and fuzzy dependent-chance programming model, a simultaneous perturbation stochasti... In order to solve three kinds of fuzzy programm model, fuzzy chance-constrained programming mode ng models, i.e. fuzzy expected value and fuzzy dependent-chance programming model, a simultaneous perturbation stochastic approximation algorithm is proposed by integrating neural network with fuzzy simulation. At first, fuzzy simulation is used to generate a set of input-output data. Then a neural network is trained according to the set. Finally, the trained neural network is embedded in simultaneous perturbation stochastic approximation algorithm. Simultaneous perturbation stochastic approximation algorithm is used to search the optimal solution. Two numerical examples are presented to illustrate the effectiveness of the proposed algorithm. 展开更多
关键词 fuzzy variable fuzzy programming fuzzy simulation neural network approximation theory perturbation techniques computer simulation simultaneous perturbation stochasticapproximation algorithm
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APPROXIMATION OF INTERVAL BEZIER SURFACES 认领 引用
7
作者 黄林 侯剑 赖俊峰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2011年第2期211-217,共7页
Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating ra- tional surfaces is presented using the energy minimization method. The method places more restrictions on the pert... Based on the conception of perturbation, an approach to the interval Bezier surfaces approximating ra- tional surfaces is presented using the energy minimization method. The method places more restrictions on the perturbation surfaces than the original surfaces. The applications of the approach are also presented. Experimen- tal result is combined with the subdivision method to obtain a piecewise interval polynomial approximation for a rational surface. 展开更多
关键词 approximation theory rational surface interval Bezier surfacer perturbation
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Spin-Spin Interactions in Gauge Theory of Gravity, Violation of Weak Equivalence Principle and New Classical Test of General Relativity 认领 引用 被引量：3
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作者 WU Ning 《Communications in Theoretical Physics》 SCIE CAS 2008年第6期1533-1540,共8页
For a long time, it has been generally believed that spin-spin interactions can only exist in a theory where Lorentz symmetry is gauged, and a theory with spin-spin interactions is not perturbatively renormalizable. B... For a long time, it has been generally believed that spin-spin interactions can only exist in a theory where Lorentz symmetry is gauged, and a theory with spin-spin interactions is not perturbatively renormalizable. But this is not true. By studying the motion of a spinning particle in gravitational field, it is found that there exist spin-spin interactions in gauge theory of gravity. Its mechanism is that a spinning particle will generate gravitomagnetic field in space-time, and this gravitomagnetic field will interact with the spin of another particle, which will cause spin-spin interactions. So, spin-spin interactions are transmitted by gravitational field. The form of spin-spin interactions in post Newtonian approximations is deduced. This result can also be deduced from the Papapetrou equation. This kind of interaction will not affect the renormalizability of the theory. The spin-spin interactions will violate the weak equivalence principle, and the violation effects are detectable. An experiment is proposed to detect the effects of the violation of the weak equivalence principle. 展开更多
关键词 spin-spin interactions weak equivalence principle equation of motion of a spinning particle experimental test of gravity theory post-Newtonian approximation
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Call for papers Journal of Control Theory and Applications Special issue on Approximate dynamic programming and reinforcement learning 认领 引用
9
《控制理论与应用（英文版）》 2010年第2期257-257,共1页
Approximate dynamic programming (ADP) is a general and effective approach for solving optimal control and estimation problems by adapting to uncertain and nonconvex environments over time.
关键词 Call for papers Journal of Control Theory and Applications Special issue on Approximate dynamic programming and reinforcement learning
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Generation of Dynamic Grids and Computation of Unsteady Transonic Flows around Assemblies 认领 引用 被引量：12
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作者 陆志良 《Chinese Journal of Aeronautics》 EI CAS 2001年第1期1-5,共5页
Algebraic methods and rapid deforming techniques are used to generate three-dimensional boundary-fitted dynamic grids for assemblies. The conservative full-potential equation is solved by a time-accurate approximate f... Algebraic methods and rapid deforming techniques are used to generate three-dimensional boundary-fitted dynamic grids for assemblies. The conservative full-potential equation is solved by a time-accurate approximate factorization algorithm and internal Newton iterations. An integral boundary layer method based on the dissipation integral is used to account for viscous effects. The computational results about unsteady transonic forces on wings, bodies and control surfaces are in agreement with experimental data. 展开更多
关键词 Algebra Algorithms Approximation theory Boundary layer flow Computational fluid dynamics Integral equations Iterative methods Newtonian flow Transonic flow Unsteady flow Viscous flow Wings
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Dynamic Response of Fluid-Single Leg Gravity Platform-Soil Interaction System 认领 引用 被引量：1
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作者 Kuang, Zhiping Cao, Guoao 《China Ocean Engineering》 SCIE EI 1993年第2期187-195,共9页
An approximate method is presented to investigate the earthquake response of the fluid-single leg (shortened for S. L.) gravity platform-soil interaction system. By assuming a suitable form of the velocity potential o... An approximate method is presented to investigate the earthquake response of the fluid-single leg (shortened for S. L.) gravity platform-soil interaction system. By assuming a suitable form of the velocity potential of the radiation waves and by using the motion equation and the boundary conditions, the unknown coefficients can be obtained. Thereafter the function of frequency for the interaction system may also be obtained. In this paper, the difference of the system dynamic response between rigid foundation is analyzed and the influences of the various foundation geometric dimension and the various water-depth on the hydrodynamic loading and dynamic response of the system is illustrated. 展开更多
关键词 Approximation theory Dynamic loads Dynamic response Earthquake resistance Equations of motion Fluids Foundations Production platforms Soil structure interactions Vibrations (mechanical)
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Incompatible numerical manifold method for fracture problems 认领 引用
12
作者 Gaofeng Wei Kaitai Li Haihui Jiang 《Acta Mechanica Sinica》 SCIE EI CAS 2010年第2期247-255,共9页
The incompatible numerical manifold method （INMM） is based on the finite cover approximation theory, which provides a unified framework for problems dealing with continuum and discontinuities. The incompatible numer... The incompatible numerical manifold method （INMM） is based on the finite cover approximation theory, which provides a unified framework for problems dealing with continuum and discontinuities. The incompatible numerical manifold method employs two cover systems as follows. The mathematical cover system provides the nodes for forming finite covers of the solution domain and the weighted functions, and the physical cover system describes geometry of the domain and the discontinuous surfaces therein. In INMM, the mathematical finite cover approximation theory is used to model cracks that lead to interior discontinuities in the process of displacement. Therefore, the discontinuity is treated mathematically instead of empirically by the existing methods. However, one cover of a node is divided into two irregular sub-covers when the INMM is used to model the discontinuity. As a result, the method sometimes causes numerical errors at the tip of a crack. To improve the precision of the INMM, the analytical solution is used at the tip of a crack, and thus the cover displacement functions are extended with higher precision and computational efficiency. Some numerical examples are given. 展开更多
关键词 Incompatible numerical manifold method Finite cover approximation theory Fracture·Stress intensity factors Crack tip field
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Performance analysis of complex wavelet packet based multicarrier CDMA system over Nakagami-m fading channels 认领 引用
13
作者 虞湘宾 徐伟业 毕光国 《Journal of Southeast University(English Edition)》 EI CAS 2004年第2期143-147,共5页
On the basis of analyzing the principle of multicarrier code division multiple access (MC-CDMA), an optimized complex wavelet packet based MC-CDMA system (CWP-MC-CDMA) is proposed. The system performances with equal g... On the basis of analyzing the principle of multicarrier code division multiple access (MC-CDMA), an optimized complex wavelet packet based MC-CDMA system (CWP-MC-CDMA) is proposed. The system performances with equal gain combining (EGC) technique and maximum ratio combining (MRC) technique in Nakagami-m fading channels are investigated, respectively; and the corresponding bit error rate (BER) expression is derived. The system can overcome the decrease of spectrum efficiency of discrete Fourier transform (DFT) based conventional MC-CDMA (DFT-MC-CDMA) due to inserting a cyclic prefix (CP). Theoretical analysis and simulation results show that the CWP-MC-CDMA system outperforms DFT-MC-CDMA as well as the real wavelet packet based MC-CDMA (RWP-MC-CDMA) system, and has superior ability to combat multi-path fading and multi-access interference (MAI). Moreover, the BER performance of the proposed system is also superior to that of the conventional MC-CDMA with CP. 展开更多
关键词 Approximation theory Computer simulation Fourier transforms Probability density function Signal interference
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BRIDGE-TOUGHENING ANALYSIS OF THE FIBER REINFORCED COMPOSITE CONTAINING INTERPHASE EFFECT 认领 引用
14
作者 Zhangjian, Wu Shouwen, Yu 《Acta Mechanica Solida Sinica》 SCIE EI 1994年第1期1-14,共14页
A detailed fracture mechanics analysis of bridge-toughening in a fiber reinforced composite is presented in this paper. The integral equation governing bridge-toughening as well as crack opening displacement (COD) for... A detailed fracture mechanics analysis of bridge-toughening in a fiber reinforced composite is presented in this paper. The integral equation governing bridge-toughening as well as crack opening displacement (COD) for the composite with interfacial layer is derived from the Castigliano's theorem and interface shear-lag model. A numerical result of the COD equation is obtained using the iteration solution of the second Fredholm integral equation. In order to investigate the effect of various parameters on the toughening, an approximate analytical solution of the equation is present and its error analysis is performed, which demonstrates the approximate solution to be appropriate. A parametric study of the influence of the crack length, interfacial shear modules, thickness of the interphase, fiber radius, fiber volume fraction and properties of materials on composite toughening is therefore carried out. The results are useful for experimental demonstration and toughening design including the fabrication process of the composite. 展开更多
关键词 Approximation theory Cracks Error analysis Failure analysis Fracture mechanics Integral equations Iterative methods Mathematical models Phase interfaces Structural design Toughening
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ELAPSED TIME OF PERIODIC MOTION WITH NEGATIVE DAMPING 认领 引用
15
作者 李怡平 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1992年第8期719-723,共5页
An initially periodic motion is gradually raised out of the potential well by the effect of negative damping. The elapsed time when the motion ceases to be periodic is obtained by multiple variable expansions. An exam... An initially periodic motion is gradually raised out of the potential well by the effect of negative damping. The elapsed time when the motion ceases to be periodic is obtained by multiple variable expansions. An example of a strictly nonlinear system shows the result has a good approximation and is easy to calculate. 展开更多
关键词 Approximation theory Damping Mathematical models Nonlinear equations Numerical analysis Perturbation techniques Time varying systems
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Local inhomogeneity in totally asymmetric simple exclusion processes with different hopping rates 认领 引用 被引量：3
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作者 肖松 吴淑英 +1 位作者 郑东升 刘明哲 《Journal of Central South University》 SCIE EI CAS 2012年第10期3012-3016,共5页
Local inhomogeneity in totally asymmetric simple exclusion processes （TASEPs） with different hopping rates was studied. Many biological and chemical phenomena can be described by these non-equilibrium processes. A s... Local inhomogeneity in totally asymmetric simple exclusion processes （TASEPs） with different hopping rates was studied. Many biological and chemical phenomena can be described by these non-equilibrium processes. A simple approximate theory and extensive Monte Carlo computer simulations were used to calculate the steady-state phase diagrams and bulk densities. It is found that the phase diagram for local inhomogeneity in TASEP with different hopping rates p is qualitatively similar to homogeneous models. Interestingly, there is a saturation point pair （a＊, fl＊） for the system, which is decided by parameters p and q. There are three stationary phases in the system, when parameter p is fixed （i.e., p=0.8）, with the increase of the parameter q, the region of LD/LD and HD/HD phase increases and the HD/LD is the only phase which the region shrinks. The analytical results are in good agreement with simulations. 展开更多
关键词 asymmetric simple exclusion process inhomogeneity hopping rate Monte Carlo simulation approximate theory computer simulation
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Vapor Sensing Theoretical Study on Optical Microcavities 认领 引用
17
作者 ZHANG Le-xin ZHANG Ran LI Zhi-quan 《Semiconductor Photonics and Technology》 2007年第3期200-205,共6页
When the organic vapors absorbed to the surface of porous silicon(PS), capillary condensation takes place due to the porous structure of the PS layer, accordingly resulting in the effective refractive index changing. ... When the organic vapors absorbed to the surface of porous silicon(PS), capillary condensation takes place due to the porous structure of the PS layer, accordingly resulting in the effective refractive index changing. For PS multi-layer microcavities, the different resonant peaks shift in the reflectivity spectrum of porous silicon microcavities(PSMs). The optical sensing model is set up by applying Bruggeman effective medium approximation theory, capillary condensation process and transfer matrix theoretically analytical method of one-dimensional photonic crystals. At the same time, comprehensively researched on are the sensing characteristics of PSMs which are exposed to give concentration organic vapors. At last, made is the theoretical simulation for sensing model of the PSMs in case of saturation by using computer numerical calculation, and found is the linearity relation between the refractive index of organic solvent and the peak-shift. At the same time deduced is the peak-shift as a function of the concentration of ethanol vapors. 展开更多
关键词 PSMs vapor sensing Bruggeman effective medium approximation theory capillary condensation transfer matrix numerical calculation
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NOTICE 认领 引用
18
《Analysis in Theory and Applications》 1993年第2期111-111,共1页
关键词 Mean Chen APPROXIMATION THEORY New Series ITS APPLICATIONS Wang
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Model Simulation and Eigen-Analysis for Polarimetric Scattering from Tree Canopy in SAR Imagery 认领 引用
19
作者 Jin, Yaqiu Zhan, Nanxiong Chang, Mei 《Journal of Systems Engineering and Electronics》 EI 2000年第2期48-54,共7页
In this paper, a theoretical model of multi-level, non-spherical scatterers is developed for fully polarimetric scattering from tree canopy in SAR imaging at C band. The amplitude functions of non-spherical particles ... In this paper, a theoretical model of multi-level, non-spherical scatterers is developed for fully polarimetric scattering from tree canopy in SAR imaging at C band. The amplitude functions of non-spherical particles with randomly spatial orientation are derived by the generalized Rayleigh-Gans (GRG) approximation. The non-diagonal extinction matrix and the Mueller matrix solution are constructed. Numerical solutions of polarimetric scattering of four Stokes parameters from random, non-spherical scatterers are obtained. To physically identify polarimetric scattering of the Mueller matrix solution, the coherency matrix and its eigen-analysis are discussed. Functional dependence of the coherency matrix and entropy upon various parameters are obtained. As an application, the analysis of AirSAR images at P, L, C bands is discussed. 展开更多
关键词 Approximation theory Eigenvalues and eigenfunctions Light scattering Matrix algebra Random processes Synthetic aperture radar Trees (mathematics)
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Applications of Wavelets in 3-D Audio Simulation 认领 引用
20
作者 Zhu, Xiaoguang Hong, Bingrong Wang, Dongmu 《Journal of Systems Engineering and Electronics》 EI 2000年第3期74-81,共8页
Wavelet has been used as a powerful tool in the signal processing and function approximation recently. This paper presents the application of wavelets for solving two key problems in 3-D audio simulation. First, we em... Wavelet has been used as a powerful tool in the signal processing and function approximation recently. This paper presents the application of wavelets for solving two key problems in 3-D audio simulation. First, we employ discrete wavelet transform (DWT) combined with vector quantization (VQ) to compress audio data in order to reduce tremendous redundant data storage and transmission times. Secondly, we use wavelets as the activation functions in neural networks called feed-forward wavelet networks to approach auditory localization information cues (head-related transfer functions (HRTFs) are used here). The experimental results demonstrate that the application of wavelets is more efficient and useful in 3-D audio simulation. 展开更多
关键词 Approximation theory Computer simulation Data structures Feedforward neural networks Wavelet transforms
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