阶

The state space forms of all these predictive PID control system are given, and their characteristic polynomial are derived by augmentation approach and Laplace expansion. At the same time, the performances of robust stability, close-loop response, and anti-disturbance of these control systems are compared with other control systems.

同时，给出了一阶加纯滞后对象、二阶加纯滞后对象、非最小相位加纯滞后对象和高阶滞后对象的预测PID控制算法，推导出了它们的状态空间形式，并通过状态增扩方法和Laplace展开方法，求出了系统的特征多项式。

Based on Fermat's theorem, the law of reflection and refraction is obtained, and the geometrical ray tracing method of reflected light is introduced. In response to geometric optics rainbow theory and Airy rainbow theory, the relationship formula of the N-order rainbow angle with the refraction index and the Airy peak value position formula are derived, and the physics causation of the first order rainbow are discussed and analyzed in detail. The distribution properties of the first and second order Airy structures of spherical particles are calculated.

利用费马原理推导了反射和折射定律，以反射射线的跟踪为例介绍了几何光学射线跟踪方法的推导过程；根据几何光学彩虹理论和Airy理论，推导了N阶几何光学彩虹角与入射角和折射率的关系及Airy峰的位置表达式，详细阐述了一阶彩虹形成的物理原因，计算了球形粒子的一、二阶Airy分布。

There were three major findings.(1) On the basis of the assessment of overall model fit and parameter estimates, the hypothesized second-order confirmatory factor analysis model represented an adequate fit to the sample data.(2) According to the cross-validation analysis, the second-order factorial validity of this scale was very stable.(3) This hypothesized model was invariance across these five important demographical variables, including school, gender, grade, right/left-handedness, and past experience in unintentional injury, via the testing of invariance in the multiple groups.

结果有三项主要的发现：第一、经整体暨个别的残差分析、整体模式之适配与其取代指标，以及估计参数之统计考验等结果，均指出假设此量表为二阶因素分析测量模式是相当恰当的；第二、经交互确认效度分析结果，显示此量表之二阶潜在因素结构是非常稳定；第三、经多组别不变量统计考验结果，指出此量表之二阶潜在因素结构，对於学校别、性别、年级、用手习惯，以及过去伤害经验这些社会人口变项，大致上具有因素个数、因素负荷量、因素变异数，以及测量误差变异数等不变量的特性。

Furthermore, in order to overcome the disadvantage of GMC, i.e., it can only apply to the processes with relative order of 1, based on Lie derivative, we propose to let the r th derivative of the process output follow the given reference trajectory, to get the control law expression through solving an optimization problem.

针对GMC方法只适于相对阶r为1的简单过程的缺点，采用Lie导数的概念，令过程输出的r阶导数的轨迹为事先设定的标称轨迹，通过解优化问题得到控制律表达式，把GMC方法推广至相对阶r大于1的复杂多输入多输出过程，从而提出了一种广义一般模型控制方法。

By transforming high - grade gentle lack one type linear differential equation into the linear differential equation of successive integral, the theory and method for the general solutions of this kind of equation are determined.

方程'+=f是高阶线性微分方程，(约定尹0)=刃，是两项和的形式，其特征是含有相同的底，导数的次数相差一阶，因此不妨定义该方程为：高阶和式次数差一型线性微分方程。

On the base of the reversibility analysis of the PMSM's mathematical model, the PMSM system is decoupled into a second-order linear speed subsystem and a first-order linear stator current subsystem.

通过对永磁同步电机的数学模型可逆性分析，将永磁同步电机系统解耦成二阶线性转速与一阶线性定子电流两个低阶的线性子系统。

Experiments indicate that,the arithmetic utilizing assistant matrix resolves the problem that even magic square can not figure out compared with Lauber arithmetic and De la Hire arithmetic,and can realize all even magic squares' resolution compared with using Greece Latina phalanx arithmetic.On the other hand,the arithmetic has sameness time complex degree and approving capability in figuring out odd magic square.

实验结果表明，利用辅助矩阵，该算法和劳伯利算法、哈利算法相比，解决了偶数阶魔方阵无法求解的问题，和利用希腊拉丁方阵算法相比，可实现全部偶数阶魔方阵的求解；另一方面，该算法在奇数阶魔方阵求解时具有相同时间复杂度和满意性能。

In the same way, a Four-coloring of a maximal planar graph of 25 order G(subscript M25), is obtained with "simplified method of reduction of order".

利用"简化降阶法"对一个一定拓扑结构的12阶最大平面图G(下标 M12)进行着色，得到G(下标 M12)的四色着色方案；以同样的方法对一个一定拓扑结构的25阶最大平面图G(下标 M25)进行着色，得到了G(下标 M25)的四色着色方案。

A important result is the one-order expression of AR Yt = DYt-1 + E, from paralleling a high-order differential equation transformation into a one-order differential equation system, the one-order expression exposes that the AR is only a certain more-multivariable power series processAnd, if a process is described as an AR, the sufficient and necessary condition is the spectrum norm A of the coefficient matrix D less than one.

作者用高阶微分方程化一阶微分方程组的方法，获得多元弱平稳序列p阶自回归模型的一步滑动平均表达式，证明了AR的是一个更高维的幂级数的线性过程，从而，说明了AR关于序列依概率成立的充要条件是：该模型更高维的幂级数的线性过程的表达式中系数矩阵D的谱范数λ＜1。

The results showed that the aluminum plates had a much better effect than zinc plates in identifying crystalline free silica. The all open-faced samples had good uniformity in the filter no matter how many middles were used, but not so good for the closed-faced sampling. The calibration curve had a good correlation coefficient (r=0.995). Due to different industrial operating patterns, the distribution of crystalline free silica concentration varied by the industrial environment. The dust consisted of 10- 30% of crystalline free silica in all samples obtained from the foundry environments. The crystalline free silica was accounted for less than 10% in the respirable dusts.

结果显示，因为铝板对於结晶型游离二氧化矽具有较良好的补正系数，因此做为本研究的基底标准吸收校正的校正元素；SKC铝制旋风分离器搭配开匣式滤纸匣於一阶中环、二阶中环、三阶中环均有良好之均匀度，反之，搭配闭匣式滤纸匣其均匀度均不佳；分析检量线具有良好线性关系(r=0.995)，因作业型态不同，作业环境会有不同的浓度分布，综观作业环境中可呼吸性结晶型游离二氧化矽之含量均小於10%以下，总粉尘结晶型游离二氧化矽之含量约为10 – 30%之中。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。