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Two basic theorems are given by researching Hamilton's two steps linear differential equations of bender equations which provide widespread application methods of normal differential operator correspond to ladder operators,then the solutions of general equations are obtained by taking advantage of the two above theorems: The energy eigenvalue equation of one-dimensional oscillator; the common state of ; the radial equation of a bondage state of hydrogen atom; the radial equation isotropic three-dimensional harmonic oscillator; the infinity deep potential well of ball

本文通过研究束缚态本征方程里的哈密顿算符的二阶线性常微分形式，给出两个基本定理并证明，提供构造二阶线性常微分算符相应的阶梯算符的普遍实用的方法，然后利用这两个定理构造量子力学中常见力学量的阶梯算符，并用以计算其能量本征值和对应本征函数：一维谐振子的能量本征方程；共同本征态；氢原子束缚态径向方程；三维各向同性谐振子的径向方程；无限深球势阱。

On the basis of them,a prototype of the series active power filter is manufactured and correspond...

在此基础上研制了一台串联型APF实验样机，进行了相应的实验研究。

Only use or replace power supply cables for this unit which correspond to the types indicated by the manufacturer.

使用或只替换对应于型由这个制造商表明的电源缆绳为这个单位。

Praise arises lively curiosity,begets desire and if afterwards the value does not correspond to the price---as generally happens---expectation revolts against the deception and revenges itself by cheapening both the thing praised and the praiser.

夸颂赞美，源自强烈的好奇，导致过分的奢望。如果后来发现：盛名之下，其实难副，人们便会因期许被欺骗而心生反感，报复也就随之而来：他们会不断贬低被赞颂之事和赞颂者本人。

Protective resemblance is far commoner among animals than aggressive resemblance, in correspond ence with the fact that predaceous forms are as a rule much larger and much less numerous than their prey.

保护性模仿远比侵犯行模仿要普遍得多，这是和下述的情况想配合的：食肉的动物，参考译文律总是比他们捕食的对象要大而且多得多。

A general mathematic model of lifting subsystem and hydraulic balancing subsystem was set up by using correspond relation of the force and the displacement at the interface of lifting and hydraulic system, then the question that the principal diagonal elements of mass matrix were zero is resolved. Meanwhile the effect on the general dynamic characteristic of ellipticity of is considered.

通过卷扬系统与液压系统在界面耦合处的力和位移协调关系，建立诸如M〓+C〓+KX=F形式的机械卷扬-液压均衡系统综合数学模型，模型中考虑了卷筒椭圆度偏差以及直径偏差对整体动态性能的影响，解决了耦合后数学模型质量矩阵主对角线元素奇异的问题。

The solutions at the equilibrium points of the proposed framework turn out to be globally stable and correspond to several principal or minor eigenvectors of a covariance matrix.

我们提出一个能实现PCA和MCA的统一框架，证明了其全局稳定的最大点，权矢量是输入过程的前p个主分量，而其全局稳定的最小点，权矢量则是输入过程的m个次分量。

However, the pseudo-triaxial strengths of several rocks from the best fitting solutions have great scatterness from the real magnitudes. Also, it does not correspond to the experimental results that rock has the same strength under conventional triaxial compression and tension; the maximum increase of strength from intermediate principal stress has a linear relation with the minor principal stress; and the first-order derivative of strength has an interruption at the peak point.

此外，统一强度理论认为岩石三轴伸长强度与常规三轴压缩强度相同，在最小主应力恒定时中间主应力引起的强度最大增加值随最小主应力线性增加，且强度关于中间主应力的一阶导数在峰值点是不连续的，这些都与试验结果不能完全协调。

Do the system research in the choice method of route scheme, putting forward principles, steps, procedure and the method of ecology route selection and the security route selection. This prides a powerful tool for designers in route selection process to reasonable correspond to each kind of influence factor and the solution of design principal contradiction.

系统研究了路线方案选择方法，提出了生态选线和安全选线的原则、步骤、程序和方法，为设计人员在选线过程中合理协调各种影响因素、解决设计主要矛盾提供了有力的工具。

The reservations made by certain critics in their commendation are generally due to the prolixity of the commentaries, which they think is often excessive, and to the timidity of certain conclusions, which do not seem to them to correspond with what the discussions had led them to expect.

保留意见所作出的某些批评者在他们的赞许的是一般是由于在冗长的评论，他们认为，往往过多，并能胆怯的某些结论，这似乎并没有给他们以符合哪些讨论了导致他们期望。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。