查询词典 implicit function theorem

Theorem of projection is more important in the study of prediction of stationary discrete-time sequence and function approximating.

投影定理在平稳时间序列的预报及函数退近研究中起着重要的作用。

In chapter 2, we first give a generalized type of the Prigons fixed point theorem and a straightforward proof of it. At the same time, we give a positive answer to an open question about convergency of iterative sequence for generalized contraction which is bring forwarded by Frigon in [3]. Secondly, by using the introduced function φ, we establish some fixed point theorems for the set-valued φ-contraction mappings in gauge spaces. These results unify and generalize the corresponding results of Cain and Nashed [1], Figon [3], Espinola and Kirk[4], Tarafder [5] et al.

第二章，首先给出Frigon不动点定理[3]的推广及其简洁证明，同时对Frigon在文[3]中提出的关于广义压缩迭代序列收敛性的公开问题给出肯定的回答；然后，通过引入φ函数，在度规空间上建立集值φ-压缩映射的不动点定理，统一并推广了Cain和Nashed[1]，Figon[3]，Espinola和Kirk[4]，Tarafder[5]等的相应结果。

The contributions to the induced current and voltage by various electromagnetic field components, such as the vertical electrical field, the horizontal electrical field and the horizontal magnetic field, are compared in this paper in terms of integral of Green function and superposition theorem.

结果显示，Agrawal和Taylor模型得到的电压、电流响应是一致的，可以考虑在有界波电磁脉冲模拟器中进行短线缆的效应实验；由于相同的场分量在不同的模型中对电压、电流响应的贡献并不相同，因此在阐述某一场分量对线缆响应贡献大小时，应该首先说明所采用的传输线模型。

By using homeomorphism method and the extended inverse function theorem,the existence and uniqueness of the solution for the semi-linear pseudoparabolic equations is obtained.

首先在Hilbert空间中建立了强制不等式，利用同胚方法和抽象的反函数定理，得到了半线性伪抛物方程初边值问题解的存在性和惟一性定理。

Calculus deals with the fundamental theories of calculus, including function, limit, continuation, derivative and differential, mean value theorem, the application of indefinite integral and definite integral, infinite series, as well as the practical instances applied in economic management.

微积分讲述微积分的基本知识，包括函数、极限、连续、导数与微分、中值定理、不定积分与定积分的应用、无穷级数等。以及这些知识在经济管理中的应用的实例与练习。

We give a two-parameter penalty function and its exact penalty theorem for inequation constrain- ed optimization,meanwhile,We propose a quasi Newton algorithmfor solving the unconstrained nonlinear penalty problem and study its convergence,Numerical examples illustrate the feasibility of the algorithm.

对于含约束不等式的优化问题，构造双参数精确罚函数并给出精确罚定理，提出了一个求解这种罚函数问题的布鲁丹族拟牛顿算法，研究了算法的收敛性与收敛速度，并进行了数值试验，证明了可行性。

This article compared the integrand of infinite integral and unbounded function integral by comparing the infinitesimal with the infinity, obtained the corresponding equivalence theorem of criterion of convergence of abnormal integral, and gave out the proof.

将无穷积分及无界函数积分的被积函数运用无穷小和无穷大比较的方法进行比较，得到了相应的反常积分敛散性极限审敛法的等价定理，并给予证明，从而可运用等价定理灵活的判断反常积分的敛散性。

First theorem shows that the class of problems has at least one solution provided the integral of height function is appropriate.

第一个定理表明只要高度函数的积分是适当的，这类问题至少有一个解。

We proved the second mean value theorem of integral with intermediate value of continuous function and absolute continuity of integral, and determine that is true even in the infinity interval with same method.

用连续函数的介值性和积分的绝对连续性证明了积分第二中值定理，并用同样的方法证明了当区间为无穷区间时的积分第二中值定理。

The theorem of Lebesgue integral is one of the most important parts in real variable function. About Lebesgue integral,there are different definition modes.

O引言Lebesgue积分是实变函数论的中心论题，L积分取代Riemann积分是大学数学教育改革发展的必然。

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。