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In chapter 2, we prove that an abundant semigroup satisfying the regularity is a locally E-solid semigroup if and only if it is an E-local isomorphic image of some abundant Rees matrix semigroup AM over an E-solid abundant semigroup with entries of the sandwich matrix P being regular elements of T.

第二章，我们证明了满足正则性条件的富足半群是局部E-solid(quasi-adequate，R~*-unipotent)半群当且仅当它是某个富足Rees矩阵半群RM的E-local同构像，其中sandwich矩阵的P元素是T中的正则元。

Jambalaya or hot dog.病人: jambalaya then, but throw in a diet coke as bonus我:okay, let me see what I can do.

那么我最后端上的就是半份jambalaya，半杯diet coke，半根本来预备夹在热狗里

This device is characterised by that its beam-splitter unit is the above described one, the first focusing elements (24) are placed at two opposite sides as seen from the direction of the beam arriving to the semitransparent reflective surfaces of the optical beam-splitter unit (22) i.e. from the receiving direction (5) and the common optical axis (23) of the first focusing elements (24) is at right angles to the receiving direction; outside the first focusing elements (24) on both sides a mirror is placed in front of each eye, and the semitransparent reflective surfaces of these mirrors enclose an angle delta 45 DEG +-15 DEG with the above mentioned optical axis (23), and the intersection line of these reflective surfaces is parallel to the mirror crossing intersection line (4) of the semitransparent reflective surfaces.

该双目图像显示装置的特征是其光学分束器单元是所述的单元，从到达光学分束器单元(22)的半透明反射面的光束方向看，即从接收方向(5)看，第一调焦元件(24)放置在相对的两侧，并且第一调焦元件(24)的共同光轴(23)垂直于接收方向；在位于两侧的第一调焦元件(24)的外面反射镜放置在每一只眼睛的前面，并且这些反射镜的半透明反射面与所述共同的光轴(23)围成夹角δ45°±15°，并且这些反射面的交线平行于半透明反射面的交叉反射镜交线(4)。

It is shown that an exponentially bounded integrated bisemigroups can be considered as the integration of a strongly continuous bisemigroup of bounded linear operators in some subspace of a Banach space with stronger norm topology,and also as the restriction of a strongly continuous bisemigroup of bounded linear operators in a bigger space with weaker norm topology.

证明了Banach空间x上的指数有界积分双半群可以作为x的某个子空间上具有较强范数拓扑下的有界线性算子强连续双半群的积分，同时也可作为较大空间上具有较弱范数拓扑下的有界线性算子强连续双半群积分的限制。

This leads to Rees matrix representation theorems of some generalized completely simple semigroups.

本文首先建立了某类U-半超富足半群的Rees矩阵表示定理，并由此得到了若干广义完全单半群的Rees矩阵表示定理。

In chapter 4, the Newlands harmonic wavelet is improved and a new type of wavelet with better time-frequency characteristic is constructed. Frequency band of signal can be divided arbitrary with the improved harmonic wavelet so that the phenomena of aliasing are reduced. Several typical fault signals in Electromechanical System are analyzed with it. In addition to the improved harmonic wavelet in chapter 4, a new half-complex wavelet is presented to improve the complex wavelet, which is given by Chaari.O. A unilateral recursive algorithm is derived to improve the real-time characteristic. A parameter n is imported to make the time-frequency and filtering characteristics of it better and its ability of extracting fault feature is enhanced.

第四章通过对Newland谐波小波的改进构造频域紧支撑、时域性能良好的新型小波函数，可实现信号频带的任意划分，从而减少频带混叠现象，采用改进的谐波小波对多种典型的机电系统故障信号进行了分析；以Chaari.O复小波为基础构造了一个半复小波，从提高复小波算法的实时性出发，推导了半复小波单向递推算法，通过给原小波设置可调参数的方法，实现了一种能满足小波基本条件的复值小波，可以通过参数的调整调节小波滤波器在Hilbert空间的时频特性和相应的滤波性能，以加强半复小波对故障特征的提取能力。

This new semigroup extende the nonlinear semigroup of Lipschitz operator.

这种算子半群是在非线性算子半群的基础上提出的，是对非线性Lipschitz算子半群的进一步扩展，使它的范围更加扩大了。

Note on relation of seminorm and norm in vector space;2. The functional representation of some seminorms such as the continuous seminorms, the beundedseminorms and the lower semicontinuous seminorms are given out.

给出了局部凸空间上连续半范数，有界半范数和下半连续半范数等的泛函表示，应用这些表示定理，我们得到了Banach－Mackey空间的一个全局特征和囿空间的对偶特征，最后还给出了局部凸空间理论中一些重要定理的简化证明。

By Visual Basic 6.0 program, taken the distance between hole 200mm and buried depth 120～150mm as the optimization goal, the most optimum parameters range of the mechanism was obtained as follows: the initial angle between planet frame and the line formed from spraying-fertilizer needle-tip and planet wheel axle was -45°～-40°, the initial angular displacement of planet frame was 40°～50°, the distance between spraying-fertilizer needle-tip and the planetary gear axle center was 280～300mm, simultaneously, the semi-major axis of elliptic gear was 29.364mm, the teeth quantity was 23, the ratio of semi-minor axes and semi-major axis was 0.958, the radius of circular gear was 25mm.

对该机构进行运动学分析，建立了数学模型，以穴距200mm和入土深度120～150mm为寻优目标，应用Visual Basic 6.0软件编程得出满足机构运动要求的最优参数范围为：喷肥针尖和行星轮轴连线与行星架的初始夹角-45°～-40°、行星架初始角位移40°～50°、喷肥针尖与行星轮轴心距离280～300mm，此时椭圆齿轮长半轴29.364mm、齿数23、短半轴与长半轴比0.958，正圆齿轮半径25mm。

Sort-and-Incremental Algorithm Definition of h-plane's polar angle:' for h-plane like x-y≥constant, we ≥ define its polar angle to π.

半平面的极角定义：比如x-y≥半平面的极角定义比如≥常数的半平定义它的极角为π。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。