孤立的

Although the Preissman scheme of KP equation is multisymplectic, it took too efforts to realize, Hence we elimate the auxiliary variable by a trivial computation and obtained the multisymplectic forty-five points scheme of KP equation. And then, we test this forty-five points scheme on soliton and solitary waves over long time intervals, the numerical results shows the propagation and interact of soliton and solitary waves.

但是在实际的数值实验中，由于需要计算共轭动量的值，Preissman格式需要占用的计算内存比较大，计算时间比较长，因此我们在数值格式中消去共轭动量，最后得到与多辛Preissman格式等价的一个多辛45点格式，我们用这个格式进行了数值实验，数值实验结果很好地显示了孤立子和孤立波的传播与碰撞。

In the bounded linear operator approximation theory of Hilbert Space,the isolate point of operator essential spectrum is always a problem. In this paper,a general method to treat this problem is given.

孙辉在Hilbert空间线性算子逼近论中，算子本质谱的孤立点通常是处理一些问题的主要障碍之一，本文给出处理算子本质谱的孤立点的一般方法。

In this method, the outlier's density is considered smaller than the average density of data set and the none-outlier's density shouldn't decrease with its closed interval compression.

该方法提出了孤立点对象的密度要小于数据集的平均密度；非孤立点对象的密度不应因为封闭区间的收缩而减少。

567Enlightenment, on its side, equally isolates the actual world as an entity forsaken by Spirit, isolates determinateness as unmoved finitude, as if it were not even a moment in the spiritual movement of essential being, not nothing, but also not something that absolutely is, but something that is evanescent.

贺译（ p102－103）：至于启蒙呢，在它这一方面也是一样，它同样把现实孤立为一种被精神遗弃了的本质，把规定性孤立为一种固定不移的有限物，仿佛既不是本质的精神活动中的一个环节，又不是无，也不是一种什么自在自为地存在着的东西，而勿宁是一种消逝着的东西。

Using algebraic methods which include extended Tanh-method,some new solitary solutions to the DBM and Log-DBM equation,such as singular solitary solutions,double singular peakon solitary wave solutions,double solitary wave solution with peakon and singular periodic solitary wave solutions are obtained..With the aid of an auxilitary function combined with the elliptic integral of the first kind,periodic solitary solution,singular and periodic singular solitary solutions can be obtained.

第三章利用扩展的Jacobi椭圆函数展开法研究了方程，并给出ZK-MEW方程的Jacobi椭圆函数解，特别的，当模数m→0和m→1时，其中一部分解退化为三角函数解和孤立波解；其次使用sn-cn拟设法，研究了K(k，s，1)方程，得到了k=s=3时的新的精确解，并在模数m→0和m→1时得到了丰富的三角函数和孤立波解。

In contrast with the Lax representation for soliton equation, there are singu-larities related to spectral parameter in the Lax representation for soliton equationwith self-consistent sources.

与孤立子方程的Lax表示相比，带附加项的孤立子方程的Lax表示中含有谱参数的极点。

The article considers to build harmonious living quarter in the light of different period the strategy of human relation, in isolated period develop an activity for the unit with the dormitory, shorten isolated period; is in absorb period, the development; that leads informal group correctly is being formed period, pay attention to the paradigmatic effect that produces core figure, the development of stimulative undergraduate socialization.

本文针对不同的时期探究建立和谐宿舍人际关系的策略，在孤立期以宿舍为单位开展活动，缩短孤立期；在同化期，正确引导非正式群体的发展；在形成期，注重发挥核心人物的模范功能，促进大学生社会化的发展。

The result shows that, the ESWs observed in the separatrix of reconnection which takes place during a substorm, is more solitary and more nonlinear than that in other regions.

研究表明，亚暴期间在磁尾发生磁场重联，重联区域的分形线附近观测到了大量的静电孤立波，其特性与在其他地方观测到的并没有显著差别，但具有更明显的非线性和孤立性的特征。

Furthermore, a conjecture about the stability of the multi-adding-point error model is presented and some corollaries of the conjecture are proved.

摘要提出多综合点误差模型及其孤立部分传递函数的概念，得到了所有孤立部分传递函数都正实的充分必要条件，以此为基础，给出了关于系统稳定性充分条件的一个猜想，并证明了猜想的一些推论。

The model of the ductile iron solidification is set up according to the solidification property and influence factor.

针对球墨铸铁的凝固特点和影响球铁件收缩缺陷的因素，提出了封闭孤立收缩膨胀叠加法预测球铁缺陷，在CASTsoft凝固模拟软件基础上，分别用铸钢模块和采用封闭孤立收缩膨胀叠加法的球铁模块预测典型铸件缺陷。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！