孤立子

Theorem4.5 Let A be a compact normal operator, is an isolated point in Prop4.13 Let A be a compact normal operator, AO is an isolated point in a.

i20 其中（入，…＼＊为一川的所有的互不相同的孤立点。命题4.13设A是紧正常算子，人。一0是a…）的＄良立点。

The same ought to hold good for the iron bar of the magnetic dipole, contrary to the results of the second experiment.

折断磁偶极子的铁棒照理也应该同样有两个孤立的极，但这是与第二个实验的结果矛盾的。

While Skrat the Saber Toothed Squirrel is still ineffectually trying to regain his precious acorn, the misfit trio of Manny the Mammoth, Sid the Sloth and Diego the Sabretooth Tiger have settled down in an isolated valley with numerous other animals.

虽然Skrat的Saber齿松鼠仍然ineffectually试图夺回自己的宝贵的橡子，三名的失配的长毛象曼尼，希德和迭戈的懒的Sabretooth老虎已经定居在一个孤立的山谷与许多其他的动物。

We obtain that the spectrum of system operator A+E in right plane of Re γ≥a1 is composed of finite isolated eigenvalue.

从而得到在Reγ≥a1的右半平面相应于系统算子A+E的谱点是由有限个孤立特征值组成。

Chapter 8: We discuss the acceleration of multigrid by Krylov subspace approaches, and recognize the reason for slow convergence of algebraic multigrid methods is that error reduction is significantly less efficient for some very specific error components which may cause a few eigenvalues of the algebraic multigrid iteration matrix to be considerably closer to 1 than all the rest. However, the eigenvectors belonging to the few isolated eigenvalues can be expected to be typically captured after only a few conjugate gradient iterations, which accelerate algebraic multigrid algorithms. Theoretical analysis and numerical results of some practical problems show the iterant recombination accelerates algebraic multigrid convergence.

第八章：先介绍用Krylov子空间迭代法加速一般多重网格方法收敛的基本框架，然后紧紧抓住引起代数多重网格方法收敛减慢的根本原因往往是误差减小对几个特别的误差分量不明显，这导致代数多重网格方法的迭代矩阵的几个特征值接近于1，而共轭梯度方法则能比较典型地捕捉属于孤立特征值的特征向量，从而推导出有效的共轭梯度加速算法和程序实现，不仅从一些具体的实际应用例子的数值结果去验证迭代复合加速收敛的效果，而且还从理论上分析了预处理共轭梯度法加速代数多重网格法收敛的机理。

There are only 200 seed trees of Neolitsea sericea,which produce 100 kg seeds in high yield year.

舟山新木姜子Neolitsea sericea分布在普陀区的朱家尖、桃花、普陀山和定海区的大猫岛，其分布特点是孤立，散生，且范围极小，无成片分布，共有结果母树300余株，种质资源较为贫乏，加之不合理的采种，迄今大年种子产量仅为100 kg。

By using the theory of bifurcations of dynamical systems to the generalization form of the modified KdV equation, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained.

本利用动力系统的分支理论来研究一类广义MKdV方程的行波解，得出了孤立波、扭子、反扭子和不可数无穷多个光滑和非光滑周期解的存在性。

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