算了

As a result, we have demonstrated that the best approximating operator and the best approximating of bounded linear operator in H10 and H1a,+∞ are consistent and, at the same time, we have generalized the theorem of the best approximating of bounded linear operator to the more universal H1

然后，我们说明了在这样的索伯列夫空间上定义的样条插值算子和最佳逼近算子是一致的，同时把有界线性算子的最佳逼近定理也推广到了一般的索伯列夫空间H~1a，+∞上去。

Brown and Halmos [3] showed that the only compact Toeplitz operator on the Hardy space is the zero operator and a Toeplitz operator is bounded on the Hardy space if and only if its symbol is bounded.

Brown和Halmos[3]证明了经典Hardy空间上只有零算子才是紧的Toeplitz算子，并且证明了Toeplitz算子有界等价于它的符号是有界的。

Simultaneously, we identify that the perturbation of these operators by a small norm operator is still nonwandering; further, we can obtain the theory that every bounded linear operator can be decompositioned into nonwandering operators.

同时，证明了这些算子经一小扰动后，可保持它们的非游荡性不变；进而可获得有界线性算子关于非游荡算子的分解理论。

Our work focus on studying higher rank Wilson loopsvia D/M branes in AdS space:(1)We study higher rank Wilson-t Hooft loop operator in N=4 SYM via D3 brahe in AdS_5×S~5 with both electric and magnetic fields on its worldvolume.

我们的工作主要是利用高维膜来研究高阶表示的Wilson loop算符：(1)利用AdS_5/CFT_4对偶研究了高阶表示的Wilson-t Hooft算符，我们让D膜既带电场又带磁场。那么它们则对应着场论中的Wilson-'t Hooft算符。

Secondly, a projector operator Q is defined in the Lebesgue integrable functions' space Y such that the composition of the inverse operator of L, I-Q and the nonlinear term f is compact, where I is the identity mapping in Y.

然后，在Lebesgue可积函数全体所成的空间Y上定义了投影算子Q，使得L的逆与I-Q及非线性项f的复合是紧算子，其中，I是Y上的恒同算子。

For gas flow past cylinder, the characters of flow field in different Mach number and Knudsen number condition were investigated, and especially for low Knudsen number cases, the results were compared with calculating results of Euler's equation. It showed that they are correspondent by comparing the characters of bow shock and wake. The convergence rates of different high resolution and implicit schemes were also investigated. The convergence behavior of the implicit WENO scheme developed in this paper is better than others. For gas flow past NACA 0012 airfoil, the calculating results were compared with results of experiment. It showed that the results of WENO scheme are of higher accuracy for the case with angle of attack.

在圆柱流场时，我们探讨不同马赫数且不同纽森数时的流场特性，并在低纽森数时，与那维尔-史托克方程式的计算结果比较，我们比较了弓形震波及尾流附近的特性，其结果是相当符合的，同时我们也比较不同高解析隐式算则的收敛历程，从收敛历程图可得到，本文发展出来的隐式WENO算则有较佳的收敛效果；在NACA 0012翼形的流场中，我们将与实验结果做比较，发现利用WENO算则计算的结果，对於具有攻角的流场，亦有相当高的准确度。

Invariant theorem of the operator series multiplier convergent. Using operator series multiplier convergent,AK-space of concept ,we obtained the theorem of operator series multiplier convergent invariant and the old theorem of general series multiplier convergent invariant is looked as special case.

第三章 算子级数乘数收敛的不变性：利用算子级数乘数收敛、AK—空间的定义，得到了算子级数乘数收敛的不变性定理，从而将以往的普通级数乘数收敛的不变性定理作为特殊情况。

From the fundamental theory of the teleportation, an arbitrary two-partite state can be teleported via a quantum channel of common eigenstates of number sum operator and phase difference operator.

本文从基本的隐形传态理论出发，用粒子数和算符以及相位差算符，并通过这两类算符的共同本征态作量子通道实现了任意两粒子态的隐形传态。

Chapter 4 presents detailed analysis of Whitney-type hexahedron and prism using differential form.

第2章介绍微分形式中几个常用典型算子的性质，包括微分算子、外积和Hodge星算子；给出了微分形式对电磁学物理量的分类及Maxwell方程的微分形式。

With the combination of the phase operator and differential operator, extrapolating operator adaptable to the variation of lateral velocity is provided.

本文将相移算子与有限差分算子结合，给出了适合横向速度变化的波场延拓算子。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。