查询词典 unique factorization theorem

Secondly, the approximation equivalent theorem for Bernstein-Kantorovich-Bezier operators have been studied by using of smooth modulus ω_φ_p in the space L_p(1 ≤ p≤∞).

二、利用光滑模ω_φ_p和与之相对应的K泛函研究了Bernstein-Kantorovich-Bézier算子于L_p(1≤p≤∞)空间中的逼近正、逆定理和等价定理。

The zonal translation networks on the unit sphere is constructed with the best approximation of spherical harmonic polynomials and the Riesz means. The Jackson theorem of approximation by such kind of zonal translation is established.

借助于球调和多项式的最佳逼近多项式和Riesz平均构造出了单位球面S上的带形平移网络，并建立了球面带形平移网络对LS(上标 q中函数一致逼近的Jackson型定理。

In Section 1, without assuming operators to be continuous and cones to be normal, we use the Monchs compactness condition to study the existence and iterative approximation theorem of solutions and coupled minimal and maximal quasi-solutions for a class of nonlinear operator equations x = Ax, x under more extensive and weaker conditions than those used in [18] in ordered Banach spaces.

践一节中，利用M加ch的紧性条件，在比文献［18］更广泛的较弱的条件下，在不假潞子连续和拄酬的前提下，研究了Ball''crl空间中一描F线腑子方程X—川巳F）的解和最小最大耦合解的存在与迭代跳定理，并应用到Ban呐空间中非线性VOlterra型积分方程和常徽分方程的初值问题。

The random phase approximation method and the Feymann-Hellman theorem are used to calculate the seventh order glueball mass of the 2+1-D SU(2) lattice gauge theory.

采用无规相近似方法，用空心图作为试探波函数，利用Feymann Hellman定理计算七阶 2 + 1维SU(2 )格点规范场的胶球质量，在弱耦合区 1/g2 =1。

The proof relies on regular approximation, the fixed point theorem, the embedding theorems, the semigroup theory and a series of complicated estimates.

然后，利用此结果，通过区域正则化逼近及半群理论获得各种估计，并给出了非齐次Liouville-Poisson模型的整体古典解。

Koopmans theorem is an approximation in molecular orbital theory , such as density functional theory , or Hartree-Fock theory, in which the first ionization energy of a molecule is equal to the energy of the highest occupied molecular orbital, and the electron affinity is the negative of the energy of the lowest unoccupied, i.e.

如同密度泛函理论或者Hartree－Fock理论，分子轨道理论中常用到的Koopmans 定理也是一种近似。

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。

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。