查询词典 compactification theorem

By the best approximation theory, it is first proved that the SISO (single-input single-output) linear Takagi-Sugeno fuzzy systems can approximate an arbitrary polynomial which, according to Weierstrass approximation theorem, can uniformly approximate any continuous functions on the compact domain.

借助于最优逼近理论，证明了线性SISO TS模糊系统可以逼近任意一个多项式，然后以Weierstrass逼近定理为桥梁，证明了该模糊系统可以以任意精度逼近一个任意的连续函数，从而得到了该模糊系统万能逼近性的一个新的充分条件。

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。

Moreover, we propose the conservatism compared theorem of sufficient condition of SISO Mamdani fuzzy system as universal approximator obtained by three different algorithms.

从输入输出数据中设计模糊系统是一个重要的问题，在各种控制、信号处理和通讯系统中得到了广泛的应用。

It is essentially the study of Shannon theorem which states that "it is possible to transmit information through a noisy channel at any rate less than channel capacity with an arbitrarily small probability of error" This course is intented to introduces the basic information theory.

资讯理论尝试建立一个通讯系统的数学模型，基本上是在探讨Shannon的定理：「在有杂讯的通道中，只要传送率低於通道容量，则存在一种编码方法，使得解码错误的机率趋近於零。

If we apply the FNN in the control of a class of nonlinear dynamic systems a theorem shows that the static error of pursuit control can be small arbitrarily as long as clustering radius is small enough.

定理表明，将这种神经网络用于一类非线性系统的控制问题中，可使静态误差任意小，只要聚类半径足够小。

A theorem shows that if we apply the FNN with its algorithm in the control of the systems above mentioned, the static error will be small arbitrarily as long as the parameter δ in hypercylinder is small enough. The feasibility and the control effectiveness of the method are examined through simulation example of nonlinear dynamic system.

将基于超柱体聚类的模糊神经网络及其学习算法用于不可逆的非线性系统模型Ⅱ的控制中，定理表明，静态误差可以任意小，只要聚类的底面直径足够小。

Due to the sensitivity analysis plays an important role in the parameter method, arbitrary order sensitivity formula is derived on basis of an obtained corollary of an implicit function theorem of Several Variables Theory.

由于灵敏度分析是参数型模型修正中的一个重要环节，本文运用多元函数论，得到一个隐函数定理的推论，在此基础上导出了任意阶灵敏度的计算公式。

By using generalized inverse of matrix,the sufficient condition of "pole assignment theorem"is proved;and the general expression containing arbitrary parameter is obtained for the feedback of gain matrix.

该方法利用矩阵广义逆理论，证明极点配置定理的充分性条件，并得到反馈增益矩阵的一个含有任意参数的一般表达式。

Theorem The arc length of a plane curve which is smooth can be calculated.

定理 光滑曲线弧是可以求长的。

This paper discussed the theorem of the average arithmetic geometric mean of algebraic polynomials systematically, then derived and analyzed the original geometric programming briefly.

系统地讨论了代数多项式的算术－几何均值定理，并对原型几何规划理论作出了简明的推导与分析。提出了具有缩并迭代特性的几何规划求解理论和编程步骤。

Objective:To compare the response control and attention of Schizophrenic patients with that of the healthy controls by Integrated Visual and Auditorycontinuous performance test. To quantitate the impairment of cognitive function in patients, and to explore the relationship between cognitive function and the severity of the disorder.

目的：探讨精神分裂症病人在IVA持续操作测试中的反应控制能力、注意力等，并与健康人进行比较，从而量化精神分裂症病人的认知功能损害，并进一步探讨其认知功能与疾病严重程度的关系。

Main effective factors including subcooling degree, mechanical vibration, gas hydrate reformation, environment temperature, noncondensing gas and surfactant are analyzed.

指出过冷度、机械振动、重复生成水合物、环境温度、不凝性气体、添加剂是影响气体水合物生成的主要因素，还对R152a水合物的放冷进行了实验研究。