子模型

In Chapter 4, the related mathematical knowledge, methods and principles are presented which include mathematical morphology, Fourier transform and discrete cosine transform, illposed problem and corresponding regularization methods, basic iteration methods and preconditioning technologies.

回顾并比较了传统线性和非线性滤波方法，详细综述了从变分到PDE在图像滤噪与模糊恢复上的应用和发展，模型基本形式为无约束极小化问题：〓（1）惩罚算子L扩散形式为〓（2）Κ为扩散项，是调整扩散程度的关键因子。

On the basis of the true self-avoid walk model and the principle of renormalization , the authors studied frac.

在生长基元以分子或者原子的微粒子形式在生长环境中进行无规游走的前提下，本文运用真实自回避行走模型，通过重整化群思想来研究晶体生长界面结构的分形行为。

The generalized Huygens–Fresnel diffraction integral for misaligned asymmetric first-order optical systems is derived by using the canonical operator method, which enables us to study propagation properties of anisotropic Gaussian Schell-model beams through misaligned asymmetric first-order optical systems.

广义惠更斯-菲涅尔衍射积分为歪斜的非对称一阶光学系统中，推导出用典型算子方法，使我们可以研究繁殖性能的各向异性高斯夏伟模型光束通过失调非对称一阶光学系统。

A potential game theoretic solution for distributed uplink dynamic subcarrier and power allocation in multi-cell OFDMA systems is presented, with each mobile station updating its own power level based on local information according to the best response dynamic.

针对多小区OFDMA系统中的上行动态子载波和功率分配问题，提出了一种基于潜博弈模型的分布式功率控制算法，各移动台根据本地信息按照最佳反应动态原则依次更新自己的功率，理论分析和仿真结果均表明系统具有惟一的稳定状态。

Their lack of a global mapping can be remedied by a recently developed method based on locally linear embedding, called locally linear coordination.

近年来提出的概率子空间混合模型对于图像流形学习是一种非常有用的方法，其对全局映射的缺乏可以由最近发展起来的基于局部线性嵌入，也称为局部线性坐标的方法来改善。

In EDSM, one does not introduce new flavor changing couplings, so the enhancement of the cross section of the top-charm associated production by gravity comes from s-channel virtual graviton exchange.

在带额外维标准模型中并没有引入新的味道改变顶点，因此引力对末态top-charm关联产生截面的增强来自于s道虚引力子的交换效应。

In this thesis the process of constructing the non-perturbative Hamiltonian theory is de-scribed and is applied to estimate the vacuum condensate. It contains the following contents:At the very beginning, by using the path integral method and eliminating the gluon freedom, aGCM action 〓 of current quarks including lower order current-current coupling was derivedfrom the QCD Lagrangian and the effective Hamiltonian operator that could hardly be doneby the normal methods was derived. After doing this, the broken vacuum is introduced whichincludes quark-antiquark condensate through the generalized Bogoliubov-Valatin transformation,the effective Hamiltonian of constituent quark was derived. The detailed formulas containingthe spatial current-current coupling term for the effective Hamiltonian and gap equations wasworked out by parameterizing the correlation kernel as a quadratic potential. And then, the gapequation was solved and the quark-antiquark condensate of vacuum was studied both in the casesof instantaneous interaction and retarded interaction. In the end, the effective Hamiltionian withtwo-body quark-quark interaction was derived with one-body approximation, and with the helpof the functional integral method the coupling non-linear dynamic equations for systems withnuclear matter was derived. Finally, these equations were solved by selfconsistent method andthe effect of nuclear matter on vacuum condensate was studied. The spatial current-current coupling term is too difficult to handle, hence the correlationkernel is assumed to be not important and usually omitted in the pure vacuum condensate, andthe instantaneous interaction generally is adopted. Retaining the spatial current-current termand partial retardation effect, the quark pairs condensate in pure vacuum was studied, and theeffect of quark mass was also studied. At present, little study is focused in the case with nuclearmatter and spatial current-current term also omitted. Under the approximation with partialspatial current-current term, the effect of nuclear matter on vacuum condensate was studied.

本论文描述了量子色动力学整体色对称模型哈密顿量方法的构建过程，得到了反映正反夸克对凝聚真空结构的关于组分夸克的有效哈密顿量算符，它隐含了胶子作用，并且准确至流-流耦合项；接着，通过参数化哈密顿量中的夸克作用关联核，导出平方禁闭势参数化选择的哈密顿量的具体公式和能隙方程；随后，应用公式，编程求解，考察了瞬时作用下和部分延迟作用下真空的正反夸克对凝聚，在计算中保留了空间流-流耦合作用；之后，导出瞬时势和延迟势下包含二体作用项的哈密顿量公式，并采用单体化近似，通过泛函变分方法得到核物质存在时耦合的非线性动力学方程；在保留部分空间双流耦合作用的近似下，求解核物质的动力学方程，考察核物质密度对真空凝聚的影响，以往考察真空凝聚，对关联核的选用，由于空间流-流耦合项不易处理，也认为作用不大，常忽略该项，并且常采用瞬时作用；本文保留空间双流项和部分延迟作用，考察了真空情形的夸克对凝聚，还考察了夸克质量对纯真空凝聚的影响，以往对核物质存在情形的真空凝聚考察很少，也都忽略空间流-流项，本文在考虑部分空间流-流项近似下，考察了核物质存在对真空凝聚的影响。

A Marcus electron transfer theory coupled with an incoherent polaron hopping and charge diffusion model in combining with first-principle quantum chemistry calculation was applied to investigating the effects of heteroatom on the intermolecular charge transfer rate for a series of heteroacene molecules.

结合第一性原理的量子化学计算，在极化子跳跃和电荷扩散模型框架内应用Marcus电子转移理论研究了杂原子取代对一系列杂原子化的多并苯分子的分子间电荷转移速率的影响。

We study the influences of the temperature on the energy-band structure for the Holstein molecular-crystal model.

研究了温度对Holstein分子晶体模型能带结构的影响，结果表明固体的能带宽度和禁带宽度都与电子和热声子相互作用以及热膨胀密切相关。

A reasonable mathematical model and a effective stitching algorithm were established based on homogeneous coordinates transformation, least square method and Zernike polynomial fitting.

介绍了子孔径拼接干涉检测非球面的理论和方法，分析了其基本原理，基于齐次坐标变换、最小二乘法和Zernike多项式拟合建立了一种合理的拼接算法和数学模型。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新