查询词典 first order

The order of an element is a significant concept in group. There are certain internal connections between the order of an element and the order of a group, the order of an element and the type of group, certain order of an element in groups too.

而元的阶又是群的一个重要概念，元的阶和群的阶有着内在的联系；元的阶和群的类型有着内在的联系；群中某些元的阶也有着内在的联系。

Aiming at this problem, the concept of the second order power spectrum was proposed based on the characteristic of the amplitude tune with periodical notch spectrum in thin layer and theoretically researched. The corresponding relationship between the thickness of thin layers and the maximum value of second order power spectrum was established. The theoretical criteria and method for the thickness estimation by second order power spectrum were given. The second order power spectrum map is made by the energy relationship between the thickness of thin layers and the second order power spectrum, and the time responding to strong energy on the map is the time of thin layer.

为此，从薄层振幅调谐具有周期性陷频谱特征出发，提出了二阶功率谱的概念，从理论上对薄层的二阶功率谱特征进行了研究，建立了薄层厚度与二阶功率谱极大值之间的对应关系，给出了利用二阶功率谱进行薄层厚度预测的理论依据和方法，即根据薄层厚度和二阶功率谱的能量关系制作二阶功率谱图，图上强能量团对应的时间即为薄层时间厚度。

For collection pay to the order of B Bank Pay to the order of B Bank for collection only,prior indorsement guaranteed Pay to the order of B Bank of deposit Pay to the order of B Bank value in collection Pay to the order of B Bank by procuration Pay to any Bank 69 (5)质押背书 pledged

质押背书是背书人以票据的债权作抵押物而对票据所作的一种背书。质押背书并不是债权的转移如果被背书人进行再背书，只能以委托收款的方式。

On a consultation held in our printing-office among his friends, what he should do in this conjuncture, it was proposed to elude the order by changing the name of the paper; but my brother, seeing inconveniences in this, came to a conclusion, as a better way, to let the paper in future be printed in the name of BENJAMIN FRANKLIN; and in order to avoid the censure of the Assembly, that might fall on him as still printing it by his apprentice, he contrived and consented that my old indenture should be returned to me, with a discharge on the back of it, to show in case of necessity; On a consultation held in our printing-office among his friends, what he should do in this conjuncture, it was proposed to elude the order by changing the name of the paper; but my brother, seeing inconveniences in this, came to a conclusion, as a better way, to let the paper in future be printed in the name of BENJAMIN FRANKLIN; and in order to avoid the censure of the Assembly, that might fall on him as still printing it by his apprentice, he contrived and consented that my old indenture should be returned to me, with a discharge on the back of it, to show in case of necessity; and, in order to secure to him the benefit of my service, I should sign new indentures for the remainder of my time, which was to be kept private.

他的许多朋友，在印刷所中开会讨论，这件案子该怎样办。有人建议改变名称来规避这个命令；但是我的哥哥认为这个方法不大合适，最后决定一种较好的办法，让未来的这张报刊发行时用拜雅明富兰克林的名字；但是为避免议会的责罚，如果仍旧以他的学徒刊行还是不行，最好办法是暗地里把旧合约给我，合约的后面注明作废，这样一旦有事就可以给人家看了。他的许多朋友，在印刷所中开会讨论，这件案子该怎样办。有人建议改变名称来规避这个命令；但是我的哥哥认为这个方法不大合适，最后决定一种较好的办法，让未来的这张报刊发行时用拜雅明富兰克林的名字；但是为避免议会的责罚，如果仍旧以他的学徒刊行还是不行，最好办法是暗地里把旧合约给我，合约的后面注明作废，这样一旦有事就可以给人家看了。但是为保护我为他工作的利益，剩下的年限我再签一张新合约，这是私自保存的。这是一个下等的计策；但不论怎样，这个计策立即执行了，而这份报依此刊行，用我的名字已有几个月了。

In addition, for a class of first-order predicate expression namely first-order predicate expression without free variable and with one quantifier, a necessary and sufficient condition for such first-order predicate expressions to be equivalent and a corresponding judging algorithm are come up with.

另外，对于一阶谓词公式的一个常见子类——无自由变元单量词的一阶谓词公式，提出了一个判定这种一阶谓词公式等价性的充分必要条件和判定算法。

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

Second order incident boundary condition on fixed incident boundary is derived for numerical simulations, based on the cnoidal or sinusoidal motions of wave maker paddle, which shows that the prediction with second order incident boundary condition is more accurate than the prediction with first order incident boundary condition. 2 The analytical solution for higher-order Boussinesq equations is derived and its applicable range is discussed. 3 A 2-D fully non-linear numerical model using boundary element method is developed to obtain wave forces acting on rectangular obstacle. 4 The three-dimensional fully non-linear waves are studied in a numerical wave tank using finite element method.The studies on the coupled numerical model combined Boussinesq equations with Laplace equation are following.

非耦合非线性波浪计算模型：1 根据造波板做椭圆余弦运动或正弦运动速度，推导出数值模拟波浪水槽时固定入射边界上的二阶波浪入射边界条件，数值计算结果和实验结果的对比表明采用二阶入射边界条件对波面升高的预报比采用一阶入射边界条件对波面升高的预报更为精确；2 推导了波浪水槽造波板做正弦运动所产生波浪的高阶Boussinesq方程摄动展开解析解，讨论了该解析解的适用范围；3 对整个波浪水槽应用边界元方法数值模拟了波浪对物体的非线性作用；4 用有限元法求解三维Laplace方程模拟了三维完全非线性波浪水槽。

First low order approximation of generating function and approximate optimal trajectory were obtained. Then using low order approximation of generating function of Hamilton "relative motion" to the approximate optimal trajectory, improvement of the approximate optimal trajectory was iteratively made. In this way, high order approximation accuracy can be obtained by only using low order approximation, which is much cost effective in computing.

首先以较低的计算代价，获得最优控制Hamilton系统生成函数的低阶近似，得到一条近似的最优轨线，然后将最优控制Hamilton系统相对于近似最优轨线求"相对运动"，该"相对运动"仍具有Hamilton性质，利用这一"相对运动"的生成函数低阶近似，可以对近似最优轨线进行迭代修正，从而以计算代价较小的低阶近似逼近计算代价高得多的高阶近似的精度。

Three elements should be calculated in first-order circuit, which can synthesise analytical solution. Second-order series RLC and parallel RLC both can be calculated by the general function, which uses the Matlab to calculate differential equations. Generally, second-order and high-order circuits use Laplace transformation to formulate circuit equation, and get analytical solution by using Laplace inverse transform.

一阶电路先计算3要素，后合成解析结果；RLC串联和并联的二阶电路采用自编的通用函数计算，自编函数采用了Matlab求解微分方程的符号运算方法；一般的二阶电路和高阶电路采用拉氏变换列写电路方程，再用拉氏反变换得到解析结果。

At first, this paper surveys nonlinear control and the applications of neural networks in control respectively. Then it studies definitions, mathematical descriptions and conditions of invertibility for nonlinear systems, which are used to analyze the feasibility of inverse system control method. Conclusions about the feasibility of inverse control and the realizability of αth-order inverse systems in engineering are achieved. Furthermore, this paper discusses the feasibility, structure and identification of neural network αth-order inverse system for general single-input single-output continuous or discrete nonlinear systems and various composite control methods based on the αth-order inverse. At last, as a part work of an actual project, this paper focuses on the design of neural network αth-order inverse control method for thyristor controlled series compensation in power systems and its effect in improving the stability of power systems.

本文首先分别概述非线性系统的控制与人工神经网络在控制中的应用；然后研究非线性系统各种可逆性的定义、数学描述及可逆性条件，并用于分析逆系统控制方法的可行性，得出有关逆系统控制方法可行性的结论，阐明一般情况下α阶逆系统才工程可实现；接着本文针对一般单输入单输出连续、离散非线性系统，研究神经网络α阶逆系统的可行性、结构与辨识以及基于神经网络α阶逆系统的各种复合控制方法，并给出应用例子；最后本文结合实际项目，针对采用可控串补的电力系统，设计神经网络α阶逆系统控制方法，研究其对提高电力系统稳定性的作用。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。