定理

Taylor theorem use polynomial approximation function to link the known function with its derivative in different orders.

作为一元函数微分学的顶峰，Taylor定理重要的作用之一是在一个给定点的附近，将函数近似地用多项式来代替。

Thirdly, for Bernstein-Durrmeyer-Bezier operators, we have given the approximation equivalent theorem in L_p(1 ≤ p≤∞).

三、我们给出了Bernstein-Durrmeyer-Bézier算子于L_p(1≤p≤∞)空间中逼近的等价定理。

Using the information consistency principle, the first step of the algorithm transforms the identification problem into a constrained convex programming ,the result of which is then used ,in the second step, to approximate systems in the uncertainty set to obtain the identified nominal model based on a polynomial approximation theorem.

第一步通过信息一致性原理把辨识问题转化为受限凸规划问题，第二步利用一个多项式逼近定理在第一步结果基础上，对不确定集中的系数进行逼近，得到辨识出的名义模型。

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。

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。

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。

The labia have now been sutured together almost completely.The drains and the Foley catheter come out at the top.

此刻阴唇已经几乎完全的缝在一起了，排除多余淤血体液的管子和Foley导管从顶端冒出来。

To get the business done, I suggest we split the difference in price.

为了做成这笔生意，我建议我们在价格上大家各让一半。