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It consists of the next three aspects: firstly, we study Murthys' open problem whether the augmented matrix is a Q0-matrix for an arbitary square matrix A , provide an affirmable answer to this problem , obtain the augmented matrix of a sufficient matrix is a sufficient matrix and prove the Graves algorithm can be used to solve linear complementarity problem with bisymmetry Po-matrices; Secondly, we study Murthys' conjecture about positive semidefinite matrices and provide some sufficient conditions such that a matrix is a positive semidefinite matrix, we also study Pang's conjecture , obtain two conditions when R0-matrices and Q-matrices are equivelent and some properties about E0 ∩ Q-matrices; Lastly, we give a counterexample to prove Danao's conjecture that if A is a Po-matrix, A ∈ E' A ∈ P1* is false, point out some mistakes of Murthys in [20] , obtain when n = 2 or 3, A ∈ E' A ∈ P1*, i.e.

本文分为三个部分，主要研究了线性互补问题的几个相关的公开问题以及猜想：(1)研究了Murthy等在[2]中提出的公开问题，即对任意的矩阵A，其扩充矩阵是否为Q_0-矩阵，给出了肯定的回答，得到充分矩阵的扩充矩阵是充分矩阵，并讨论了Graves算法，证明了若A是双对称的P_0-矩阵时，LCP可由Graves算法给出；(2)研究了Murthy等在[6]中提出关于半正定矩阵的猜想，给出了半正定矩阵的一些充分条件，并研究了Pang~-猜想，得到了只R_0-矩阵与Q-矩阵的二个等价条件，以及E_0∩Q-矩阵的一些性质；(3)研究了Danao在[25]中提出的Danao猜想，即，若A为P_0-矩阵，则，我们给出了反例证明了此猜想当n≥4时不成立，指出了Murthy等在[20]中的一些错误，得到n=2，3时，即[25]中定理3.2中A∈P_0的条件可以去掉。

In this paper the dynamics characteristics are analyzed theoretically at first. According to the unique configuration and mechanics characteristics, the mechanics model and kinetic differential equation of the half-tracked air-cushion vehicle are established. Algorithm of mechanics and lifting-state parameters are put forward and analyzed. And variation ranges of the driving state parameters are obtained and the corresponding influence factors are analyzed. The further qualitative studies on control model are carried out.

因此，本文首先从理论上分析了半履带式气垫车的动力学特性，根据半履带式气垫车的独特结构和力学特性，建立了半履带式气垫车的力学模型和相应的运动微分方程，提出并分析了在纵摇与升沉运动时，半履带式气垫车的力学参数和垫升状态参数的计算方法，得到了在行驶过程中各运行状态参数的变化规律，并分析了相应的影响因素，进而对控制对象模型进行了定性研究。

Based on mechanism and vehicle theories theoretical analysis is pursued and normal driving conditions are put forward. The relations are analyzed between load distribution and power consumption. Mechanical formula is proposed. Furthermore in this paper the theoretical model of the total power consumption is established, and the relations of the total minimized power consumption with the air-cushion pressure and the fan revolution are discussed. The optimum operation point is put forward. The dynamic digital simulation studies are carried out on the operating procedure of the half-track air-cushion vehicle on soft terrain. Mechanical parameters and soil mechanics characteristics affecting vehicle power consumption and riding performance are analyzed. At the same time according to the model formula, the automation control problem is discussed. It is a theoretical instruction for further automation control.

本文还从力学和车辆原理的角度进行了理论分析，推导了半履带式气垫车的需求功率及正常行驶条件，研究了气垫压力和功率消耗之间的关系，提出了力学模型公式；建立了半履带式气垫车总功率消耗的理论模型，研究了最小功率消耗时功率与垫压及表征气垫车行驶状态的各参数的关系，分析了相应的影响因素，并提出了最佳工作状态的定义；同时进行了半履带式气垫车在软地面的行驶过程的动态数字仿真试验研究工作，对影响车辆功率消耗和行驶平顺性的各力学参数和土壤参数进行了分析，得到了各运行状态参数的变化规律，验证了最佳工作状态和最佳垫压的理论，根据力学模型公式对进一步的自动控制问题进行了探讨，为系统的控制提供了理论指导。

By electromagnetic theory, for the case that the magnetic dipole source and the receiver are set in seawater, the general expressions of frequency_domain electromagnetic responses for a layered benthal model are deduced. From those, the transient response expressions of three common configurations—vertical magnetic dipole_dipole, central loop, and coincident loop, located on the surface of uniform half_space seafloor, are derived respectively, supposing that seawater is uniform half space, or its depth is finite.

根据电磁场理论，推导了磁偶源和接收点均位于海水中时层状海底模型的频域电磁场响应一般表达式，并通过此式，得到了海水为均匀半空间和有限海水深度两种情况下，垂直磁偶极装置、中心回线和重叠回线分别置于均匀半空间海底表面时的瞬变电磁响应表达式。

Ruck, Hirano and Reich extended Baillon抯 theorem to a uniformly convex Banach space with a Frechet differentiable norm. Hirano-Kido-Takahashi, Oka, Park and Jenong proved the ergodic theorem for commutative semigroups of nonexpansive mappings and asymptotically nonexpansive mappings in the uniformly convex I3anach space with the Frechet differentiable nonn.

aillon的定理被Bruck，Hirano及Reich推广到具Frechet可微范数的一致凸Banach空间中，而当G是一般交换拓扑半群时，Hirano-Kido-Takahashi，Oka，Park及Jeong分别给出了具Frechet可微范数的一致凸Banach空间中非扩张半群及渐近非扩张半群的遍历压缩定理和遍历收敛定理。

The main results are as follows: the relations between local fractional integrated semigroups and the corresponding Cauchy problem, global fractional integrated semigroups and regularized semigroups are given; introduction of the notion of regularized resolvent families, and the generation theorem and analyticity criterions for regularized resolvent families are obtained; the spectral inclusions between fractional resolvent family and its generator, and the approximation for fractional resolvent families in the cases of generators approximation and fractional orders approximation; elliptic operators with variable coefficients generating fractional resolvent family on L^2 by using numerical range techniques; and the L^p theory for elliptic operators with real coefficients highest order are obtained by Sobolev''s inequalities and the a priori estimates for elliptic operators; and a kind of coercive differential operators generates fractional regularized resolvent family by applying the Fourier multiplier method, functional calculus and some basic properties of Mittag-Leffler functions.

主要结论是：给出了局部分数次积分半群和相应的Cauchy问题的关系以及分数次积分半群和正则半群的关系；引入了正则预解族的概念，并给出了其生成定理和解析生成法则；给出了分数次预解族与其生成元的谱包含关系，并研究了在生成元逼近和分数阶逼近两种情况下相应的预解族的逼近问题；利用数值域方法证明了具变系数的椭圆算子在L^2上生成分数次预解族；利用Sobolev不等式和椭圆算子的先验估计证明了具变系数的椭圆算子在其最高项系数为实数时在L^p上生成分数次预解族；运用Fourier乘子理论、泛函演算和Mittag-Leffler函数证明了一类强制微分算子可以生成分数次正则预解族，并给出了该预解族的范数估计。

Based on interior ballistic theory, an attempt has been made to study the initial variable bullet dispersion of Gatling gun with a basic mathematical analysis model of bullet movement.

针对转管炮发射时身管处于旋转状态的特性，建立了同时考虑弹丸旋转惯性力和科氏力的半约束期内起始模型，分析了惯性力、科氏力在半约束期内对弹丸起始扰动的影响，计算得到了在半约束期运动弹丸的偏角变化规律。

In the DQ/EG homogeneous solution, the enhanced emissive CIDEP signal of the neutral durosemiquinone radical DQH(superscript ﹒) was observed. When the DQ/EG solution with pH=9 or DQ/EG/TX-100/H2O micelle system was photolyzed, the CIDEP signal of the duroquinone anion radical DQ(superscript ﹒- was obtained. When the DQ/EG solution with pH=2.5 was irradiated, the CIDEP signal of DQH(superscript ﹒) appeared.

在光解均相DQ/EG溶液时，观察到了以增强发射的中性杜半醌自由基DQH(上标﹒的CIDEP信号；在碱性环境下(pH=9)和TX-100胶束环境下光解DQ/EG体系时得到杜醌负离子自由基DQ(上标-﹒的CIDEP信号；在酸性环境下(pH=2.5)光解DQ/EG体系时，出现的又是中性杜半醌自由基DQH(上标﹒的CIDEP信号。

There were five kinds of NpCpTiCl〓, in which Np was pyrolyl , indolyl ; 7-azoindolyl , indazolyl , and benzimidazolyl respectively. All of them were prepared by the reactions of CpTiCl〓 with the anions of the relevant ligands, and characterized by elemental analysis, IR, or NMR.

此外，半茂体系的催化活性都随铝／钛比的增加呈上升而后衰减型，当Al／Ti比为500左右时活性达到最高，这个值远低于茂金属催化剂活性达最高时的Al／Ti比，即茂金属配合物比半茂配合物需要更多的MAO来活化，并稳定形成的活性中心。

From the angle critical force ,this thesis analyses the stability of the formation of axle shaft spline in the extrusion and the calculation of the constraints available after losing stability.

从临界力的角度入手分析花键半轴在挤压成形时的稳定性及失稳后可增加约束的计算，研究表明半轴花键实现精密挤压成形不稳定时可增加约束来解决失稳问题。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。