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排序方式: 共有94条查询结果,搜索用时 781 毫秒
1.
In this paper we obtain some formulas for totally umbilical hypersurfaces in a locally symmetric manifold, and derive some local results on the hypersurfaces from these formulas. 相似文献
2.
LIKAITAI HEYINNIAN XIANGYIMIN 《高校应用数学学报(英文版)》1994,9(1):11-30
This paper deals with the inertial manifold and the approximate inertial manifold concepts of the Navier-Stokes equations with nonhomogeneous boundary conditions and inertial algorithm. Furtheremore, we provide the error estimates of the approximate solutions of the Navier-Stokes Equations. 相似文献
3.
在准化学模型框架下, 假设有序原子对同时具有可区分与不可区分的双重属性, 首先构造了双重短程有序准化学模型, 然后讨论了该模型所能满足的各类理论极限. 经总结提炼, 提出了有序原子对的对立统一理论. 基于该理论, 进一步将双重短程有序准化学模型做了一般化推广, 开发了多重短程有序准化学模型. 该模型能够有效描述二元熔体中存在多重短程有序构型时的热力学行为. 选取了至少存在两重短程有序构型的Bi-K熔体来检验模型的合理性和可靠性. 结果表明, 除配位数外, 只需4个模型参数就能合理再现该二元熔体所有的热化学数据. 相似文献
4.
SpectralFlowandManifoldDecompositionHuXinmin(胡新民)(DepartmentofMathematics,ZhongshanUniversity,Cuangzhou,510275)Abstract:Inthi... 相似文献
5.
关于Kahler流形上的Newton力学 总被引:6,自引:6,他引:0
本文讨论Kahler流形上的Newton力学.在此给出Newton定律、动能定律、动量定律、虚位移原理、D'Alembert-Lagrange原理、运动方程及“普遍运动方程”等的复的数学形式. 相似文献
6.
BaoQiangWU 《数学学报(英文版)》2004,20(1):71-80
In this paper,we study the infinity behavior of the bounded subharmonic functions on a Ricci non-negative Riemannian manifold M.We first show that limr→∞r^2/V(r)∫B(r)△hdv=0if h is a bounded subharmonic function.If we further assume that the Laplacian decays pointwisely faster than quadratically we show that h approaches its supremun pointwisely at infinity,under certain auxiliary conditions on the volume growth of M.In particular,our result applies to the case when the Riemannian manifold has maximum volume growth.We also derive a representation formula in our paper,from which one can easily derive Yau‘s Liouville theorem on bounded harmonic functions. 相似文献
7.
We conduct a case study in which we empirically illustrate the performance of different classes of Bayesian inference methods to estimate stochastic volatility models. In particular, we consider how different particle filtering methods affect the variance of the estimated likelihood. We review and compare particle Markov Chain Monte Carlo (MCMC), RMHMC, fixed-form variational Bayes, and integrated nested Laplace approximation to estimate the posterior distribution of the parameters. Additionally, we conduct the review from the point of view of whether these methods are (1) easily adaptable to different model specifications; (2) adaptable to higher dimensions of the model in a straightforward way; (3) feasible in the multivariate case. We show that when using the stochastic volatility model for methods comparison, various data-generating processes have to be considered to make a fair assessment of the methods. Finally, we present a challenging specification of the multivariate stochastic volatility model, which is rarely used to illustrate the methods but constitutes an important practical application. 相似文献
8.
We combine two important recent advancements of MCMC algorithms: first, methods utilizing the intrinsic manifold structure of the parameter space; then, algorithms effective for targets in infinite-dimensions with the critical property that their mixing time is robust to mesh refinement. 相似文献
9.
10.
Francesco Costantino 《Geometriae Dedicata》2006,121(1):89-111
We provide sufficient conditions assuring that a suitably decorated 2-polyhedron can be thickened to a compact four-dimensional
Stein domain. We also study a class of flat polyhedra in 4-manifolds and find conditions assuring that they admit Stein, compact
neighborhoods. We base our calculations on Turaev’s shadows suitably “smoothed”; the conditions we find are purely algebraic
and combinatorial. Applying our results, we provide examples of hyperbolic 3-manifolds admitting “many” positive and negative
Stein fillable contact structures, and prove a four-dimensional analog of Oertel’s result on incompressibility of surfaces
carried by branched polyhedra.
相似文献