正子

In quantum mechanics,the evolution of a quantum state is a unitary evolution ,the evolution process can be described by an action of a unitary operator on the quantum state and the process is time reversible.

在量子力学中，态的演化是一个幺正演化过程，态的演化过程可以用演化算子对态的作用来表示，幺正演化过程是时间可逆的。

Recently , the classical Riesz representation theorem on Hilbert spaces has been generalized onto complete random inner product modules ,in this paper the classical Friedrichs theorem on Hilbert spaces is generalized onto complete random inner product modules.

最近，经典的Riesz 表示定理已经被推广到完备随机内积模上，在此基础上本文将Hilbert 空间上经典的Friedrichs 定理推广到完备随机内积模上。首先，证明完备随机内积模上任一正Her2 mite 型惟一地对应一个正自共轭算子。

Theorem 3 Let M~n be a compact totally real 2-harmonic submanifold in M~n which is a locally symmetric Bochner-Kaehler manifold.If Ricci curvature of M~n is nonegative and positive at a point at least,then the holomorphic sectional curvature of M~n is a postive constant number.

定理3设M~n是局部对称Bochner-Kaehler流形M~n的紧致全实2-调和子流形，若M~n的Ricci曲率非负且至少在一点为正，则M~n具有正常数全纯截面曲率。

It is also pointed out that an n-mode boson coupled quadratic Hamiltonian can be diagonalized by a "negative unitary" matrix which is an element of complex symplectic group SP(2n,c),and an n-mode fermion coupled quadratic Hamiltonian can be diagonalized by a unitary matrix which is an element of complex fermion group F(2n,c).

并且指出，对于n模玻色子耦合二次型哈密顿量，通过一个负幺正矩阵它是复辛群SP(2n，c的元素可以把它对角化；对n模费米子耦合二次型哈密顿量，通过一个幺正矩阵它是复费米群F(2n，c的元素可以把它对角化。

" And Ajax son of Telamon answered,"I too feel my hands grasp my spear more firmly; my strength is greater, and my feet more nimble; I long, moreover, to meet furious Hector son of Priam, even in single combat.

" 听罢这番话，忒拉蒙之子埃阿斯答道："我也一样，握着枪矛的手，这双克敌制胜的大手，正颤抖出内心的激动；我的力气已在增长，轻快的双脚正催我向前！

In chapter 2, the paper considers about applying the regularized method with a variance uniformization constraint to image restoration, therefore we discusses the relation between the variance of the restored image and the singular value of the discrete matrix of the blur operator in detail, and theoretically proves the well-posedness of the regularized method with a variance uniformization constraint.

在第二章中，本文考虑将带一致方差约束的正则化方法应用于图像的恢复，为此详细讨论了恢复图像的方差与模糊算子的离散矩阵的奇异值之间的关系，并从理论上证明了带一致方差约束的正则化方法的适定性。

In order to solve exactly the dynamic problems of the double coordinate coupling harmonic oscillators, the quantum unitary operator corresponding with classical canonical transformation is derived using the momentum eigenvector in Fock representation by constructing asymmetric integration.

为了精确求解双模坐标耦合谐振子体系的动力学问题，利用动量本征矢在Fock表象中的表示构造不对称积分，找到了与经典正则变换对应的量子么正算符。

The Trojans led by him and by Iamenus, Orestes, Adamas the son of Asius, Thoon and Oenomaus, raised a loud cry of battle and made straight for the wall, holding their shields of dry ox-hide above their heads; for a while the two defenders remained inside and cheered the Achaeans on to stand firm in the defence of their ships; when, however, they saw that the Trojans were attacking the wall, while the Danaans were crying out for help and being routed, they rushed outside and fought in front of the gates like two wild boars upon the mountains that abide the attack of men and dogs, and charging on either side break down the wood all round them tearing it up by the roots, and one can hear the clattering of their tusks, till some one hits them and makes an end of them- even so did the gleaming bronze rattle about their breasts, as the weapons fell upon them; for they fought with great fury, trusting to their own prowess and to those who were on the wall above them.

就像这样，二位凭待自己的勇力和强健的臂膀，站候着高大的、正向他们迎面扑来的阿西俄斯，毫不退让。特洛伊人直冲而上，对着修筑坚固的护墙，高举着生牛皮做就的战盾，裂开嗓门呼喊，围拥在首领阿西俄斯身边，围拥在亚墨诺斯、俄瑞斯忒斯和阿西俄斯之子阿达马斯，以及俄伊诺毛斯和索昂的身旁。其时，墙内的拉丕赛人正极力催促胫甲坚固的阿开亚人保卫海船，但是，当他们看到特洛伊人正冲向护墙，而达奈人则惊叫着溃跑时，二位冲将出去，拼杀在门前，像两头野猪，在山上站等一群步步进逼的对手，骚嚷的狗和猎人，横冲直撞，连根掀倒一棵棵大树，撕甩出一块块碎片，使劲磨咬着牙齿，发出吱吱嘎嘎的声响，直到被人投枪击中，夺走它们的生命――就像这样，挡护他们胸肩的捏亮的铜甲承受着枪械的重击，发出铿锵的震响。

This thesis focuses on studying the matrix equa-tion problem systematically, and proposed an abstract algorithm of solving the matrixequation with constraints, and established a strict convergence theory. Using this algo-rithm, we can solve the sets of matrix equation satisfying some constraint conditions,such as symmetric, antisymmetric, centrosymmetric, centroskew symmetric, re?exive,antire?exive, bisymmetric, symmetric and antipersymmetric, symmetric orthogonalsymmetric, symmetric orthogonal antisymmetric, Hermite generalized Hamilton ma-trix;So we can solve the problem with this algorithm, if the set of constrain matrixcan make a subspace in matrix space, and this algorithm also can solve the optimalapproximation and least squares problem. So this abstract algorithm has universal andimportant practical value.

本篇硕士论文系统地研究了此类问题，并找到了求解约束矩阵问题的抽象算法，并建立严格的收敛性理论，利用这一算法可求解约束条件为对称矩阵、反对称矩阵、中心对称矩阵、中心反对称矩阵、自反矩阵、反自反矩阵，对称正交对称矩阵、对称正交反对称矩阵、双中心矩阵、Hermite广义Hamilton矩阵等；可以说只要约束矩阵集合在矩阵空间中构成子空间，都可以考虑用此算法求解，而且这一算法还能把矩阵方程解及其最佳逼近，最小二乘解及其最佳逼近统一处理，因此本文算法有普适性和重要的实用价值。

Thus, in OFDM communication sytems, carrier frequency offset must be estimated and compensated at the receiver to minimize the effects of intercarrier interference and maintain orthogonality.

因此，在正交频分复用通信系统中，接收信号必须进行频率偏移估计和补偿来减小载波间干扰并维持子载波之间的正交性。

However, as the name（read－only memory）implies, CD disks cannot be written onorchanged in any way.

然而，正如其名字所指出的那样，CD盘不能写，也不能用任何方式改变其内容。

Galvanizes steel pallet is mainly export which suits standard packing of European Union, the North America. galvanizes steel pallet is suitable to heavy rack. Pallet surface can design plate type, corrugated and the gap form, satisfies the different requirements.

镀锌钢托盘多用于出口，替代木托盘，免薰蒸，符合欧盟、北美各国对出口货物包装材料的法令要求；喷涂钢托盘适用于重载上货架之用，托盘表面根据需要制作成平板状、波纹状及间隔形式，满足不同的使用要求。