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By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The anomalous character of large polar distance dipole-dipole resistivity sounding in tunnel is calculated and discussed in this paper.

本文着重计算和讨论坑道内大极距偶极-偶极测深异常特征。

Convergence is stronger than divergence in the Polar Front Zone,indicating that a part of the converging water must come from the cold water transporting northward from south of PFZ and contribute to the formation and maintenance of the lateral temperature gradient of SAF.

极锋区(PFZ，指极锋PF与亚南极锋SAF之间的区域)中辐聚大于辐散，部分辐聚的水体必定来自极锋以南向北输送的温度更低的上层水，对SAF水平温度梯度的形成和维持做出贡献。

These models are the dipole field with the axis to the sun and the quadrupole field model.

这两种模型就是偶极矩平行于日地连线的赤道偶极子场模型和四极子场模型。

Quadrupole mass filter is a matured miniature mass spectrometer that has been widely used.

四极杆质谱仪是目前最成熟、应用最广泛的小型质谱仪之一。四极杆质量分析器通过在双曲面四极

By using the laser-lift-off technique followed by plasma etching process to roughen the surface, the VLEDs with n-GaN surface roughening has been fabricated.

另一部份，则是在垂直式氮化镓发光二极体的表面制造粗化的效果，以来增进光从发光二极体中萃取出的效率，利用乾式蚀刻将表面制造出粗化的效果，再利用标准的黄光微影制成技术，因此成功的制造出n型表面粗化的垂直式氮化镓发光二极体，至於出光强度的增强量会随者表面粗化情况的不同有著30%？

A prediction model has been proposed to deal with threshold voltage shift as a function of 1MeV neutron flux and gate oxide thickness, and to deal with room-temperature annealing of threshold voltage shift induced-by 〓Coγ as a function of electric field and gate oxide thickness. The commonness and individuality of MOS device degradation between hot-carrier effect and ionizing radiation were investigated. The dependence of substrate current, gate current and threshold voltage shift due to hot-carrier on gate oxide thickness were simulated with MEDICI-2D simulator. The photocurrents of PN junction and bipolar transistor were studied. Their transient responses on varied bias voltages, pulse durations and absorbed doses were simulated. The influences of NPN base width on base and collector photocurrents were investigated. We also studied 1MeV neutron displacement damage in PN junction, and calculated reverse current leakage under the neutron flux of 2. 67×10〓 per square centimeter. 3 The study of nondestructive screening method for MOS radiation tolerance A theoretical and experimental study of nondestructive screening methods for radiation tolerance of nMOS and pMOS were firstly fulfilled. We determined the informative parameters pertinent to the method and proposed how to deal with experimental data and verify obtained results statistically, as well as make the required steps for nondestructive screening. Based on the experimental data of 180 samples of discrete pMOS devices, the relation between sample quantity and correlation coefficient, screening equation, and other significant results were obtained from the threshold voltage shifts of pre-and post-irradiation samples.

二、分立器件电离和位移辐射损伤响应研究在国内首次开展了电离辐射引起的氧化层阈值电压漂移和退火理论研究，编程计算了1MeV中子引起的MOS器件阈值电压漂移与中子通量及栅氧厚度的关系，计算了〓Coγ光子引起的阈值电压漂移及退火的时效曲线与纵向电场和栅氧厚度的关系等，对评估MOS型集成电路电离损伤和加固方法研究，以及论文中开展的MOSFETs无损筛选方法研究奠定了基础；分析了MOS器件热载流子损伤效应与辐射电离损伤效应之间的异同性，利用二维模拟软件MEDICI-2D模拟了衬底电流和栅电流，在不同栅氧厚度下随栅压的变化曲线，计算了热载流子效应造成的阈值电压漂移，研究结果对当前存在的以热载流子效应研究取代电离辐射损伤实验研究的设想，具有重要的参考价值；开展了PN结和双极晶体管电离光电流研究，计算了不同偏压、不同辐射脉宽和不同吸收剂量下PN结光电流的瞬时响应，计算了不同辐射脉宽下NPN晶体管基极电流和收集极电流的瞬时响应，以及基区宽度对NPN晶体管光电流的影响，研究结果对双极器件抗电离辐射损伤响应及加固方法研究具有重要意义；在国内首次开展了器件位移损伤的理论研究，分析了辐射产生的缺陷对电性能的影响，计算了注量为2.67×10〓cm〓的1MeV中子产生的缺陷对PN结反向电流的影响。

In this paper, by using conditional cnormalityof some special subgroups(such as minimal subgroups, maximal subgroups, Sylowsubgroups, maximal subgroups of Sylow subgroups)of G, we obtain some sufficient or necessaryconditions for a finite group to be solvable, supersolvable, nilpotent. Some previouslyknown results are generalized.

本文结合有限群的某些特殊子群(如，极小子群，极大子群，Sylow子群，Sylow子群的极大子群)的条件c-正规性来研究有限群的可解性，超可解性，幂零性，得到了有限群可解，超可解，幂零的若干充分和充要条件，推广了有限群的一些结果。

Point, line, plane and other geometric elements in space can be expressed by stereographic projection according to their spatial direction and occurrence; at the same time the author can read the orientation and attitude from the stereogram, so it can be used in rock mass engineering geology widely.

赤平极射投影可表示空间上的点、直线、平面等几何要素，根据它们的空间方向和产状可以作出赤平极射投影图，同时，可以根据赤平极射投影图，测读它们的空间方向和产状，因此在岩体工程地质学中得到广泛应用。

The leading mode of the oceanic surface current anomaly displays an oceanic gyre that is determined by the wind stress anomalies through Ekman relation, while the interdecadal variability in the upper ocean circulation is characterized by changes of the strength of the subtropical and subpolar gyres which lags the wind stress curl anomaly by 5 years.

对印度洋偶极子事件演变特征的合成分析显示，大气异常引起的海洋热容量异常传播在偶极子事件建立和消亡过程中具有重要作用，且这一过程可以独立于ENSO存在：ENSO对偶极子事件的海温变化具有一定的影响。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。