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These claws do not come into contact with the ground and so require periodic trimming to avoid becoming ingrown

这些爪子是不接触地面的，因此要定期修剪，以避免其向内生长。

The period and the initial point of the periodic solution are given.

通过研究周期解，给出了周期解的周期及初始位置。

At first, we discuss the Benney equation with the periodic initial and boundary value problem.

本文利用Fourier-Galerkin谱方法讨论了两类非线性偏微分方程。

The main purpose of this dissertation is to study the steady state problem,periodic-boundary value problem and initial value problem of Lazer-Mckenna sus-pension bridge equation and other some relevant problem.

本文研究Lazer-Mckenna吊桥方程的静态问题，周期边值问题和初值问题以及一些类似的相关问题。

This thesis carries on research to a class of nonlinear Schrodinger Equation with wave operator of initial value periodic problem.

本文针对一维带波动算子的Schrodinger方程周期初值问题进行数值研究，对上述方程首先构造了守恒的半离散格式，然后将p次Hermite插值方法与有限差分方法相结合构造了差分正交样条配置格式，并证明这两个格式均为稳定和收敛的格式。

Chapter 4, consider the periodic initial value problem of a dissipative gen-eralized KdV equations. In section 4.2, the existence of global smooth solution of this problem is proved and the existence of the global attractors is obtained.

第三章，考虑高维的非齐次GBBM方程的初边值问题，建立与时间t无关的一致先验估计，证明了整体光滑解和整体吸引子的存在性。

Firstly, Wavelet-Galerkin algorithm for solving the first kind of singular integral equation with the Hilbert kernel is proposed, we use the characteristic of periodic wavelet on L~2([0,1]) and Hilbert kernel to solve and make stiff matrix lower dimensions and become sparser through thresholding,thus the cost of computation is reduced. Because of the singularity of Hilbert kernel we use Tikhonov regularization method to solve the system of stiff equation. At last the convergence and numerical result of approximate solution are given. Secondly, an approach of regularization based on Fourier is presented for sideways heat equation; we give the theory proof and error estimate.

首先，提出了含Hilbert核的第一类奇异积分方程的小波伽辽金(Wavelet-Galerkin)数值算法，该算法中利用了L~2([0，1])上的周期小波和Hilbert核的特点进行处理，使得刚性矩阵维数降低并且通过阈值使得它更加稀疏，减少了计算量；由于Hilbert核的奇异性，通过Tikhonov正则化方法求解所得到的刚性方程组，给出了收敛性和数值结果；其次，对标准的一维逆热传导方程给出了一种基于Fourier正则化方法，给出了理论证明及其误差估计，解决了文献中算法与理论误差估计的不相匹配的现象，该正则化方法不仅保留了测量数据的部分高频成份，且与文献中的算法具有同样的计算量和误差估计。

It has no secular energy error for the integration of periodic orbits with constant time-steps. The upper bound of mass was given for an imaginary planet in the main asteroid belt with this scheme.

演化模型是太阳系N体模型(N=7)，即把水星、金星、地球的质量加到太阳上，忽略冥王星，同时在小行星主带附近增加一个天体，系统演化时间为一亿年。

The Auger depth-profiling analysis of the samples shows a periodic structure with little interdiffusion at the interfaces.

俄偈剖面分析表明材料具有很好的周期结构并且界面处扩散很小。

The most common hypsarrhythmic variant was burst suppression (n=100, 55%), wherease typical hypsarrhythmia existed in only 74 cases (41%). Other common variants were periodic hypsarrhythmia, interhemispheric asymmetry, and increased interhemispheric synchrony.

高峰节律紊乱变异类型最常见者为爆发抑制，占 10 0例(5 5 %)，而典型高峰节律紊乱只见于 74例(4 1%)，其它较常见的变异类型为周期性 5 4例(30 %)，不对称型 2 5例(14%)，同步化 2 2例(12 %)。

I'm going tor her!

我这就去救她！

As rise are design to help keep a several toney , a brain chemical at continues lever.

SSRI被设计来帮助保持血液中的复合胺即在大脑中一个连续水平的化学物质。