孤立

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。

Some valuable works in the paper include: First, based on the algorithm of based-cell detection, the paper presented a dynamic adjustment function on "M" which can work out a problem of outliers fault-making on boundary cell.

总结本文的研究内容，主要有如下创新： 1、在基于单元的孤立点数据挖掘算法基础上，针对边界单元格出现的孤立点误判问题，给出了对M值进行动态调整函数。

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。

Then(1) There exist controvertible normal operators E, F, such thatand 0 is an isolated point in is an isolated point in ,(2) There exist a series of operator An, such that

存在可交换得正常算子El，使得 T＝AO－A＝EF＝FE 且 0是。p）的孤立卢、eso是口p）的孤立。点，＊存在一列算子＊＊使得 lAnAll－ 0，n、co

When Michael Crichton answered a question on the subject of solitude for writing, he said that on many occasions he had wished he was not alone.

当迈克尔克莱顿就孤立创作这个问题做出回答时，他说，许多时候他希望自己并不是孤立的。

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。

Example analysis makes clear, this algorithm can detect effectively the isolated dot in data set, the isolated dot that digs disinter accords with actual condition.

实例分析表明，该算法能有效检测数据集中的孤立点，挖掘出的孤立点符合实际情况。

H. Q. Zhang, a uniform and mechanical model of C - D pair construction based on the pseudo-differential division with remainder and the mechanical calculation of exact solutions to nonlinear evolution equations.

第一章介绍了与非线性发展方程相关的孤立子、混沌和分形三种非线性现象，数学机械化，孤立子理论和可积系统研究的历史发展和现状。

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。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。