查询词典 implicit function theorem

For this purpose, two expressions for the Graf′s addition theorem are deeply clarified and an auxiliary function method for mixed boundary-value problems is presented in the paper.

为此，文中深入阐明了Graf加法公式的两种表达形式并提出了处理混合边值问题的辅助函数法。

Utilizing wave function expansion method, all of the potential functions of scattered waves are transformed into one coordinate system with the aid of Graff's addition theorem.

使用波函数展开法，利用一组圆柱坐标系统和Graff加法转换定理，将散射波势函数的表达式变换到同一个坐标系。

In Chapter 4 windowed function of data signal processing is introduced and applied to addition theorem, which succeeds in solving the difficult problem: it has a bad result when recursive T-matrix is applied to calculate the wave scattering of electrically large objects and multiple objects in the excitation of TE wave.

在第四章中引入数字信号处理中的窗函数，成功解决了在入射波为TE波时，用递推T矩阵法计算电大尺寸物体或多个散射体时，精度不高的问题。

By reviewing carefully original literature,it is pointed out that pursing a more general reciprocity law maby the most motive of the development of algebraic number theory, usual material mainly emphasizes the function of Fermats last theorem.

通过原始文献的深入分析，研究表明：一般互反定律的寻求可能是代数数论发展的最主要动力，而通常文献中主要强调了费马大定理的作用。

The representative points of positive case support vectors and negative case support vectors in sample set are defined, the measure and eigenfunction between sample x and y allusiveness from initial space to eigen space under a kernel function k are researched, and a correlative theorem with demonstration is given.

定义了样本集中的正例支持向量和反例支持向量的代表点，研究了原始空间样本x，y在核函数k映射下在特征空间中的x，y映象之间的度量和特征函数并给出了相关的定理及证明。

Finally, the universal approximation theorem of fuzzy system is generalized to the function space L〓.

为进一步提高控制系统的跟踪精度，在补偿控制律中采用了可变边界层的方法。

By using the interpolation mechanism of fuzzy system, an approach of building the series of fuzzy systems, which can uniformly approximate any continuous function on a compact domain to any accuracy, is given, and then the universal approximation theorem is generally proved.

利用模糊系统的插值模型来代替被控对象的真实模型，设计了一个自适应模糊控制策略；为保证系统的全局稳定性，增加了一个补偿控制律，它是根据模糊系统的逼近误差估计量来设计的，因此这里系统跟踪误差的收敛性不依赖于模型最小误差的平方可积性[70，71]。

Secondly, using the relation between the weighted modified K-functional, the weighted modulus of smoothness ,the weighted main-part modulus of smoothness . we get the pointwise direct and inverse approximation theorem with Jacobi weight for Szdsz-Kantorovich operator. Thus some results on w = 0w(x denotes the weight function, Ditzian-Totik modulus and classic modulus are extend.

其次，引入一种改变的带权K-泛函，利用带权光滑模和带权主部光滑的关系及带权光滑模与改变带权K-泛函的等价性，关于Szász-Kantorovich算子，讨论了一阶矩不为零的算子的点态带Jacobi权逼近正定理及等价定理，推广了已有的权为零及Ditzian-Totik光滑模和古典光滑模的结果。

In the paper,generalized forms for Cauchy s mean value theorem ab ou t complex function are given,asymptotic behaviors of the intermediate point as z→z 0 are discussed.

给出了复分析中中值定理更一般的形式，并讨论了当 z→z0 时中值点的渐近

This paper consists of three parts:We first consider the non-autonomous predator-prey system with both Beddirigton-DeAngelis functional response and dispersion. By using comparison theorem of differential equation, we study the permanance of the system. After that, by constructing suitable Lyapunov function, we obtain some sufficient condition which guarantee the existence of globally asymptotically stable almost periodic solution of the system.

本文研究三方面的内容：第一部分考虑具有扩散和Beddington—DeAngelis功能反应的捕食-食饵系统，利用微分方程比较原理得到该系统一致持续生存的条件；通过构造适当的Lyapunov函数得到了该系统存在全局渐近稳定概周期解的充分条件。

Chimborazo and Cotopaxi, took me by the hand.

越过琴博腊索山和科托帕克西山。

This car is in a good condition.

这辆车的状况很好。