数环

Based on the delta operator bounded real lemma, sufficient condition with an H〓 norm bound on closed loop uncertain systems and state feedback design are provided.

基于Delta算子的界实引理，给出了闭环不确定系统具有H〓范数界的充分条件及状态反馈设计方法。

The cylindrical shell of open circumambience with both ends simply supported and the cylindrical shell with clamped ends are analyzed, then the cylindrical shell of close circumambience with simple support and the other end clamped along straight edges are analyzed.

分析了两端简支的封闭圆柱壳、两端固定的封闭圆柱壳和两端简支直边固定的开敞圆柱壳的振动特性，同时研究了环向半波数对圆柱壳固有频率的影响，并给出了不同边界条件的振型图。

The lifestyle of the North American indigenous people and some of the circumpolar cultures including Siberia, Alaska, Greenland and Lapland have been the focus of some studies.

北美原住民和环北极地区文化-包括西伯利亚，阿拉斯加，格陵兰和拉普兰，是数个研究的重点。

If a n-dimensional unoriented cobordism class α_n containing a representative that admits a (Z_2)~k-action with fixed point set of constant codimension r,we may say that α∈is an ideal of the unoricnted cobordism ring MO_*=.

若n维未定向协边类α_n的一个代表元M~n上有不动点集为常余维数r的(Z_2)~k光滑作用，则记α_n∈J_~r.J_~=∑_n≥r_J_(n，k~r是未定向上协边环MO_+=∑_(n≥0)MO_n的理想。

The first 10 chapters study cohomolgy of open set in Euclidean space,treat smooth manifolds and their cohomology and end with integration on manifolds.

全书分四章：范畴与函子及其在模论中的应用；特殊模与相应的维数；环模复形的同调理论；谱序列。

Standing high on the tee one can view the small island surrounded by water, and the most challenging range lying on the left corner of the island with two sand pits connected in a complex manner, players can feel a sense of shock by all the scenes in front. They must master the strength and direction of the wind on that day to make sure of a good shot. The big and steep range makes the ball go faster and is a difficult test for players.

第九洞全长195码，标准杆数3，从高高的发球台向右前方望去四面环水的小岛上，最具挑战性的果岭斜卧在小岛左隅，前后两个沙坑相辅相成，相应成辉，虎视眈眈的与发球台遥相呼应，开阔的湖面泛着微光，令人望而生畏，要求球手们一定要掌握好当天风力的强度和风向，才能使球安全的落在球洞区上，大而陡的果岭使其速度更快，这又是考验球手的绝妙一笔。

The key components in laser gyro is He-Ne ring laser, and the reciprocal action theory between light and medium is the base in studying the ring laser, use the Lamb half classical theory, and on the base of density matrix theory, the optical Brounch equation was established, which described the movement of amplifying medium atom in the ring syntonic cavity, and according to the medium polarize theory the self consistent equations was deduced, which describe the light intensity and phasic of the counter-propagating wave. On the basis of this equations, adopted the simulation software MATLAB and virtual instrument programming language LabWindows/CVI, we can do some simulated experiments in study the phenomenas such as amplify and dispersive characteristic of medium, mode pushing effection, burned hole effection and pattern competition, lock-in of frequency and the characteristic of light intensity and phasic of the counter-propagating wave in laser gyro.

激光陀螺的核心部件为He-Ne环形激光器，而掌握光与介质的相互作用理论是研究激光器的关键，采用拉姆半经典理论为主，在密度矩阵理论的基础上，推导环形谐振腔中描述He-Ne气体增益介质原子运动的光学布洛赫方程，运用介质极化理论得出描述激光陀螺反向行波的光强、位相所满足的自洽场方程组，在此基础上，运用MATLAB仿真软件和虚拟仪器编程语言LabWindows/CVI，对激光陀螺中的介质增益色散特性、频率牵引效应、烧孔效应及模竞争、闭锁效应及环激光的光强和相位特性进行仿真试验研究，并且运用全量子理论，对激光工作原理进行分析，得出二能级系统单模辐射场的光子数密度分布，得出激光场的光子统计分布，仿真激光场的动态建立过程。

The controller makes the closed-loop systems internally stable and minimizes the H2 norm of the transfer matrix Tzw from w to z. Two Riccati formulae based on 8 operator is deduced. The H2 problems for continuous time systems, Z operator models and 8 operator models are investigated respectively.The guaranteed cost control problem of robust stabilization and robust performance for uncertain systems which is described by 8 operator is discussed in this paper.

采用Riccati方程处理方法讨论了基于Delta算子描述下的离散系统存在输出反馈控制器的问题，得到了两个基于Delta算子的Riccati方程，设计了Delta域的输出反馈控制器，使得闭环系统内稳定，且满足从w到z的传递矩阵T_的H_2范数最小，设计了基于Delta算子描述下的离散系统的最优控制器，并与S域和Z域的H_2控制器进行了比较。

For linear time-delay systems with norm-bounded uncertainties or convex polyhedron uncertainties, a sufficient and necessary delay independent condition of quadratic stabilizability under certain robust H~?

讨论了具有范数有界不确定参数线性不确定时滞系统的指定衰减度鲁棒稳定的一个充分性判据以及设计状态反馈控制器使得闭环系统具有指定鲁棒衰减度的方法。

Illustrate with example below: Example 1 be four color wreaths one by one in order is Huang, orange, red, gold color, because of the third wreath is red, resistivity scope is what time several k Ωs Of, the number represented respectively according to Huang, orange dichromatism"4" go into with"3",, it then reads to count for the 43 k Ω.

下面举例说明：例1当四个色环依次是黄、橙、红、金色时，因第三环为红色、阻值范围是几点几kΩ的，按照黄、橙两色分别代表的数"4"和"3"代入，，则其读数为43 kΩ。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新