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By using the properties of part matrix elements in N1 , and by looking for positive diagonal matrix factors, we present some new sufficient conditions of generalized strictly diagonally dominant matrix and improve the recent results.

第二章在行非严格对角占优集N_1划分为N_1~(1)与N_1~(2)的直和N_1~(1)⊕N_1~(2)的条件下，利用下标在N_1上部分矩阵元素的性质，寻求正对角矩阵因子，给出了广义严格对角占优矩阵的几个新的充分条件，同时改进了近期的一些结果。

In chapter four, by defining and studying a type of local doublediagonally dominant matrix, we give some new criteria foridentifying generalized strictly diagonally dominant matrix, andextend some existing results.

第四章定义了一种局部双对角占优矩阵，给出了广义严格对角占优矩阵的几个新判别法，推广了已有的一些结果。

In chapter three, we divide the rows of matrix into types finer than those in chapter one. Again by looking for positive diagonal matrix factors, we obtain several new criteria for identifying generalized strictly diagonally dominant matrix, improving some existing criteria.

第三章在下标集N 递进式划分的条件下，根据递进后，某些下标集上部分矩阵元素的性质，寻求正对角矩阵因子，获得了广义严格对角占优矩阵的几个新判别法，同时改进了一些已有结果。

This method is highly precise in generalized orthogonal polynomial convolutional differentiator and also highly efficient in finite difference short operator method.

该方法同时具有广义正交多项式褶积微分算子的高精度和有限差分短算子算法的高速度。

In chapter 2, the basic conception of optical oscillator strength , generalized oscillator strength , and differential cross section , the experimental methods for measuring OOS and GOS are described briefly.

在第二章中，介绍了光学振子强度、广义振子强度和微分散射截面的基本概念，并对光学振子强度和广义振子强度实验方法作了总结，定性说明了仪器角分辨对于微分散射截面测量的影响。

Analysis of its behavior shows that the generalized diffusion process combines properties of both forward and inverse diffusion.

其行为的分析表明，广义扩散过程结合了这两个属性正，逆扩散。

Aiming for discrete transfer function, on the basis of solving Diophantine equation, constrained Generalized Predictive Control is studied by using Quadratic Programming and Goal Programming.

针对离散传递函数模型，在求解Diophantine方程的基础上，分别用二次规划和目标规划对有约束广义预测控制进行了研究。

Aiming for discrete transfer fi.inction, on the basis of salving Diophantine equation, constrained Generalized Predictive Control is studied by using Quadratic Programming and Goal Programming.

针对离散传递函数模型，在求解Diophantine方程的基础上，分别用二次规划和目标规划对有约束广义预测控制进行了研究。

Generalized predictive control is a kind of advance control methods that is of strong robustness, can overcome the time delay of system effectively and is suitable to unstable non-minimum phase system. But it has the shortcoming of large computation load because of online solving the Diophantine equation, inverse matrix and recursion solution by Least squares. So four kinds of fast algorithms of GPC that don't need the mathematical model of plant and are highly real-time are proposed in the paper. They have laid the rationale for the application of GPC to systems that need fast response.

广义预测控制是一种鲁棒性强、能够有效地克服系统滞后、可应用于开环不稳定非最小相位系统的先进控制算法，但由于它需要Diophantine方程计算、矩阵求逆和最小二乘的递推求解，因此计算量很大，本文针对此缺陷提出四种不基于对象模型且实时性高的广义预测控制快速算法，为广义预测控制应用于实时性要求高的快速系统奠定了理论基础，具体研究工作如下。

After that, According to the induced-matter idea, we study the generalizational method of 5D Dirac equation, and point out that Dirac equation isn't formally generalized in principle because the wave function of Dirac field is multiple component matrix form.

随后，我们从诱生物质思想出发，研究Dirac方程的五维推广方案，指出由于描述Dirac粒子的波函数是多分量的矩阵形式，原则上不能只依靠单纯的形式推广。

They weren't aggressive, but I yelled and threw a rock in their direction to get them off the trail and away from me, just in case.

他们没有侵略性，但我大喊，并在他们的方向扔石头让他们过的线索，远离我，以防万一。

In slot 2 in your bag put wrapping paper, quantity does not matter in this case.

在你的书包里槽2把包装纸、数量无关紧要。