查询词典 homogeneous function

The total of these two sorts of functions is called S-functions The indicial function, sinusoidal function, cosinusoidal function, hyperbolic sinusoidal function, hyperbolic cosinusoidal function, trigonometric function of n-order and hyperbolic function of n-order etch are all belong to S-functions.

指数函数、正弦函数、余弦函数、双曲正弦、双曲余弦、n阶三角函数和n阶双曲函数等。都是S－函数的特殊形式。文中证明了关于S－函数及其各阶导数的性质的三个定理。

The results showed that there was power function relationship between the capillary water rise height and groundwater supply quantity and the time. There was linear function relationship between capillary water rise height and groundwater supply quantity and a power function between them and the time. There was linear function relationship between the capillary water rise velocity and the groundwater supply rate. Parameters could be calculated by measured data, which showed that it is possible to simulate capillary water rise process of homogeneous soil by Green-Ampt model.

结果表明：均质土毛管水上升高度和地下水补给量均与时间之间为幂函数关系，毛管水上升速度和地下水补给速率也均与时间呈幂函数关系，毛管水上升高度与地下水补给量之间呈明显的线性关系，毛管水上升速度与地下水补给速率也呈线性关系；通过试验资料可以推求有关参数；说明入渗条件下的Green-Ampt模型用于模拟均质土的毛管水上升过程是可行的。

The concrete work and main contribution are as follows:(1) The index indicating transfer capability homogeneousness is defined, and the new terms like homogeneous grid, grid according with economic flow are put forward. These new concepts describe the degree in which transfer capability is utilized, and they provide the standard for ideal grid whose transfer capability and power generation dispatching economy are in phase. So, new idea is introduced in transfer capability analysis.(2) The multi-objective function with generation cost and transfer capability homogeneousness weighted is constructed. The relationship between system existing generation dispatching and transfer capability is revealed through comparative analysis between security economic dispatch and security homogeneous dispatch, and the variation rule analysis between generation cost and transfer capability homogeneousness with the change of weighting coefficient.(3) Example analyses demonstrate that the difference between specific power system with ideal instance can be identified effectively using the above concepts and method.

具体工作和贡献主要体现在：(1)定义了衡量电网输电能力均匀性分布的指标，提出均匀电网、符合经济流电网的新概念，以描述电网输电能力被利用的程度，并给出输电能力和发电调度经济性相协调的理想电网标准，在输电能力分析评判领域引入了新观点；(2)构造了发电费用与输电均匀性加权的多目标函数，通过对安全经济调度与安全均匀调度的对比分析，以及权系数变化过程中发电费用与输电均匀性的变化规律分析，揭示了系统现存发电调度与输电能力之间的依赖关系；(3)大量分析表明，利用上述概念和方法可有效识别系统在特定模式下与符合经济流电网的偏差程度。

Chapter 2 is devoted to study of exact solutions of the nonlinear evolution equations. Using solutions of a Bernoulli equation instead of tanh in tanh-function method we find some more general solutions of the KdV-Burgers-Kuramoto equation , and by using the nonlinear telegraph equation we show that there are many different choices on its balancing number m and the power n of the nonlinear term in Bernoulli equation by which we can recover the previously known solutions and also can derive new square root type solitary wave solutions. Exact solitary wave solutions for a surface wave equation are obtained by means of the homogeneous balance method. We also present an approach for constructing the solitary wave solutions and non-solitary wave solutions of the nonlinear evolution equations by using the homogeneous balance method directly, which is also used to find the steady state solutions, solitary wave solutions and the non-solitary wave solutions of the 2+1 dimensional dispersive long wave equations. The soliton-like solutions of the BLMP equation and the 2+1 dimensional breaking soliton equation are found by use of the symbolic-computation-based Method.

第二章中研究了非线性发展方程的精确解：用双曲正切函数法中的双曲正切函数换为Bernoulli方程的解的方法而给出KdV-Burgers-Kuramoto方程的精确解并用非线性电波方程为例说明了平衡数m和Bernoulli方程中非线性项的次数n有着多种选择的可能，它不但使我们能找到已知解而且也能找出新的根式孤立波解；用齐次平衡法给出一个曲面波方程的精确孤立波解，并提出直接用齐次平衡法寻找非线性发展方程的孤立波解、非孤立波解的方法，作为应用给出2+1维色散长波方程组等的定态解、孤立波解、非孤立波解等；用Symbolic-computation-basedMethod获得BLMP方程和2+1维破裂孤子方程的类孤子解；提出sine-Gordon型方程的直接求解方法，并获得sine-Gordon方程、双sine-Gordon方程、sinh-Gordon方程、MKdV-sine-Gordon方程和Born-Infeld方程等的精确孤立波解。

By getting Lebesgue characteristic of integrable function of Riemann from the definition of Gather zero measure, discussing the relation between almost continuous everywhere and existent of limit, it gets the theory which is from the function integrability to the consecution and from consecution to the limit existence .i.e. the almost limit existence is equal to the almost continuous everywhere in the integrable function of Riemann. It also gets a unified condition which has a wider range than regulated function and comes to the conclusion that the function of bounded variation is the integrable function of Riemann.

通过定义零测度集给出了可积函数的特征，讨论了其几乎处处连续与极限存在的关系，从而得到了从函数可积性到连续性，从连续性到极限存在性的函数特性理论，即可积函数中极限的几乎处处存在与几乎处处连续是等价的，得出比正规函数更加宽泛的统一条件，得出了有界变差函数是可积函数的结论。

This article intended to analyze and compare its function in English and Chinese social communication from the following aspects: protocol function in personal communication; active function in language speaking; humorous function in making the meaning of words more funny; deceit function in coving up the truth; ironic function in lashing out against the society and human nature.

本文从五个方面分析和比较了委婉语在中英社会交际中的功能，即：人际交流中的礼仪功能，言谈措辞的积极功能，使语言妙趣横生的幽默功能，掩盖事实真相的欺骗功能和鞭挞社会，人性的讽刺功能。

Bring forward a kind of learning algorithm fitting on the base of spline function, because the spline function has good flexibility and quadratic smoothing property, the search problem of network weight functions training can be converted into the resoluting extreme value problem of the plurality function through using spline function to represent network input and link weight functions, thus the PNN can be trained with the help of the existing neural network learning algorithms;④build a kind of learning algorithm base on the alternate of Walsh function, the complexity of network computing can be decreased through using the complete orthogonality of Walsh function corollary.

应用结果表明该算法收敛速度快，稳定性好；③提出了一种基于样条函数拟和的学习算法，由于样条函数具有很好的柔韧性和二次光滑性，将网络输入函数和连接权函数用样条函数的形式表示，可把网络权函数训练的函数寻优问题转换为多元函数求极值的问题，从而可借助于现有的神经网络学习算法训练过程神经元网络；④建立了一种基于Walsh函数变换的学习算法，利用Walsh函数系的完备正交性，可大大降低网络计算的复杂度。

The system can receive data from the STEP-NC interpreter by using the resource model of the function block type database, then translate the receiving data into the data of function block format; the tool path generator can dynamically transfer the function block in the function block type database; it can also use the data of function block management resource to export DSP order; depending on VC to edit function database and Dynamic Linkable Library, we can connect the tool path generator with research platform, use the tool path generated from the tool path generator to drive the tool move.

结果 通过功能块类型库中的资源模型接收STEP-NC解释器解释的数据，并将接收的数据转化成功能块格式的数据；依据工艺规划好的加工工序，刀具路径生成器动态调用功能块类型库中的功能块；利用功能块处理资源提供的数据，输出DSP指令；依靠VC语言编辑函数库和动态链接库，将刀具路径生成器与实验平台建立关联，基于刀具路径生成器生成的刀具轨迹驱动机床刀具运动。

This paper expounds six functions of context that is omissible function, simplification function, definiteness function, explanation function, generative function and restrictive function.

接着，本文简要概述了中外学者研究语境的情况，阐述了语境的六种功能：省略功能、简化功能、确指功能、解释功能、生成功能和制约功能。

Language functions include informative function, interpersonal function, performative function, emotive function, phatic communion, recreational function and metalingual function.

语言功能包括：信息功能，人际功能，施为功能，感情功能，交感性谈话，娱乐性功能和元语言功能。

The teacher likes the honeymouthed little girl very much.

老师很喜欢这个嘴甜的小姑娘。

Mr. Notker Bien's interests are traveling, spending quality time with the family and long-distance-running.

诺特卡·柏恩先生热爱旅游，长跑，以及和家人一起共度美好时光。