解域

In this paper, self-orthogonali zation was used to speed up the convergence rate of transform domain adaptive le ast-mean-square algorithm, and the analytical expression of system bit e rror rate was deduced.

但由于必须通过迭代收敛达到稳态解，自适应滤波算法不能锁定快变干扰。文中利用正交加速算法提高最小均方误差算法的收敛速度，推导出了使用变换域自正交加速算法时系统误码率的解析表达式。

The algorithm speeds up the solution convergence while preserving the sparse matrix structure.

建立了瞬态涡流场问题矩量法解的时域多尺度分析法，加速了解的收敛性，同时又保持了解矩阵的稀疏性。

By virtue of inverse Fourier transform and convolution theorem, a semi-analytical solution for the velocity response of a pile subjected to a semi-sine wave exciting torque is obtained in the time domain.

进一步根据桩土接触面上的位移、应力连续条件，求解了桩身动力平衡方程，在频域内得到了桩顶动力响应的解析解。

By critical inheritance from structuralism Culler developed deconstructionism greatly inputting the two on the same level to set up an organic system.

卡勒的主要贡献在于通过对结构主义的批判继承，对解构主义的开拓发展，把它们放置在相对共时的场域，安排各自的层次和范围，从而构建起立体综合的有机体系。

In this part, the characteristics of transient responses of flexible rotor systems with arbitrarily distributed mass on isotropic or anisotropic supports passing through several critical speeds seguencially are examined. Here, the current knowledge of rotor dynamics on the eigenproblem of damped free whirling vibration, the generaliged damped mode theary, the transient forced vibration and so on combined with KBM asymptotic method in the nonlinear vibration theory is employed and extended.

作者综合运用并引伸推广转子动力学关于阻尼自由回旋振动的特征问题、广义阻尼模态理论、瞬态强廹振动等現代理论和方法，结合非线性振动理论中的KBM渐近法，提出自己独創見解和覌点，成功地建立起正回旋和逆回旋两种情况下转子通过临界点的瞬态振动一阶微分方程组，可以在临界点的邻域内从事方程的数值积分计算。

Furthermore, a theoretical Molecule-In-Molecule approach was used to rationalize the excited state delocalization pathway of cyclophandiene molecules.

透过分子内分子(Molecule-In-Molecule)的方法，可以进一步解环芃二烯在激发态非定域化的途径。

The first part presents develops of predator-prey systems and gives the model that is investigated in our paper; Chapter 2 presents the results on boundedness of solutions and permanence of system; In chapter 3, we explicitly derive a domain of attraction for the positive equilibrium of system by using Liapunov method; The local stability and the conditions that Hopf bifurcation occurs are obtained in chapter 4; In chapter 5, some explicit fomulae of the direction of Hopf bifurcation and the stability of bifurcating periodic solutions on the center manifold are determined,using normal form and center manifold introduced by Hassard et al; In chapter 6, some numerical simulations are performed to illustrate the analytical results found; Our paper ends with a brief conclusion.

全文共分七章，第1章对捕食-食饵系统的发展背景做了介绍并给出了本文研究的模型；第2章讨论了系统的保持性和解的有界性；第3章研究正平衡点的全局性质，对正平衡点的吸引域进行了精确估计；第4章研究了系统的正平衡点的局部稳定性和Hopf分支存在的条件；第5章利用规范型和中心流形定理得到了一个决定Hopf分支方向、分支周期解的稳定性及其他性质的精确公式；第6章对一个具体模型进行了数值模拟；第7章对全文进行了总结。

The domain variables are interpolated by classical fundamental solutions and thus allowing for the transfer of the domain integration to the boundary.

其中，域内场函数用基本解插值，边界上的场函数用移动最小二乘法插值。

The adaptive program is calculated by T-B stress recovery scheme and z-z error estimation, the error is estimated by energy norm of difference of recovery stress and meshless stress. If the local relative error exceeds the limit relative error, then new nodes will be generated at the high error area.

本研究的自适应方法采用TB应力平滑技术和Z-Z误差估计，利用平滑应力和无网格法所得应力解差值的能量范数来估算误差，如果局部相对误差超过了允许误差，则在高误差域插入新的离散点进行加密。

The method is finding an interior point in the feasible region, followed by the central path, we can find a approximate optimal solution.

该算法从运输问题可行域的内部出发，沿着中心路径的方向，通过反复迭代寻找运输问题的近似最优解。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失