查询词典 second derivative

Pole-placement and Inner model tuning methods are discussed finally;(2) For the linear derivative action, several different tracker-differentiators are presented to improve the quality of the derivative signals;(3) A neural network tuning method is given for the nonlinear PID controller which includes the above tracker-differentiator;(4) For the linear integral action, a nonlinear pre-phase integrator is studied in order to decrease the phase delay problem; Simulation results show that the nonlinear PID controller including the pre-phase integrator posseses better performance in both fast and stable property, and strong ability of anti-disturbance;(5) A simple optimal criteria is introduced to optimize the parameters of the nonlinear PID controller based on the pre-phase integrator.

仿真研究表明，由此形成的非线性复合积分PID控制系统，具有快速而平稳的过渡过程和超强的干扰抑制能力；(5)采用物理意义简单明确的目标函数的优化设计方法，对上述非线性PID控制器进行参数整定，达到了满意控制典型工业过程的目的。通过对直线电机伺服系统的仿真研究，表明该种非线性控制器具有同时跟踪多个目标的优越性能。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

IV. The total synthesis of dehydrodiconiferyl alcohol and its dihydro-derivative The benzofuran skeleton was constructed by chemically oxidative couplingstarting from vanillin, then selective reduction with LiAI〓/〓 andhydrogenation in the presence of Pd-C followed reduction with LiAl〓respectively, to give dehydrodiconideryl alcohol and its dihydro-derivative, usefulin treating and preventing digestive system disorders, esp.

四、Dehydrodiconiferyl alcohol及其二氢衍生物的全合成以香草醛为起始原料，用化学氧化法一步建立氢化苯骈呋喃骨架，LiAlH〓／〓选择性还原以及催化加氢还原接着〓还原，分别合成了对预防和治疗消化系统疾病尤其是胃溃疡有显著效果的Dehydrodiconiferylalcohol及其二氢衍生物。

One UV absorber is a benzotriazole derivative, and the other UV absorber is a benzophenone derivative.

一种紫外吸收化合物是苯并三唑衍生物，另一种紫外吸收剂为二苯酮衍生物。

The chain rule is just how to take the derivative of chained functions — meaning, function x calls function g, and you want the derivative of xg

链式法则仅仅是如何对链式函数求导的意思，函数 x 引用函数 g ，你要求导 xg

Firstly, this paper investigated roundly the basic theory of the ambient vibration method, analyzed systematically the main methods of ambient vibration identification, and discussed their advantages and disadvantages. Then we established the finite element model of structural dynamics and test model and analyzed their mutual relation, improved MUSIC method and correlation function method in the harmonic identification, and gave the subspace method and correlation function method based on continuous model, which is multi-harmonic retrieve technique. And then, this paper also puts forward least-squares method to estimate directly structural physical and modal parameters; this approach replaced the derivative operator in the continuous time model with an equivalent approximation, and estimated the physical parameters of structures by the least-squares method. And then, we discussed the approximation methods of derivative and their convergence. Finally, this paper researched the modal parameters of a frame structure by the simulation and test. The results demonstrated that subspace method, correlation function method and the least-squares method are effective and stable respectively.

全面地研究环境振动识别方法的基本理论，系统地分析环境振动识别方法的主要方法，讨论它们的优点和不足；建立结(来源：6666AB44C论文网www.abclunwen.com)构动力学的有限元模型和试验模型，分析有限元模型与试验模型之间的相互关系；改进谐波识别中的MUSIC识别方法和相关函数识别方法，给出大型结构模态识别的连续型的子空间分解识别方法和相关函数识别方法，这个方法是多元谐波识别方法；提出直接识别结构的物理参数和模态参数的最小二乘方法，这个方法利用导数的近似值代替导数值，并运用最小二乘方法识别结构的物理参数，讨论导数近似值的选择方法，分析算法的收敛性；通过仿真计算和模型实验，研究高层框架结构的模态参数识别，验证子空间分解识别方法、相关函数识别方法和最小二乘识别方法的有效性，算法的稳定性；从理论和试验两个方面分析和研究噪声对识别精度的影响，影响识别精度的因素，以及部分模态成分的模态参数不能够被识别的原因。

The definitions of generalized directional derivative and generalized gradient of Lipschitz functions defined on Riemannian manifold are presented. Some properties of the directional derivative and gradient are proved by using tangent and cotangent mapping. The minimization necessary condition of nonsmooth Lipschitz functions is given. Moreover, Fritz John necessary optimality condition in mathematical programming is provided on Riemannian manifold.

在黎曼流形上给出了Lipschitz函数的广义方向导数和广义梯度的概念，利用黎曼流形局部上与欧氏空间开集微分同胚的性质以及切映射和余切映射导出了广义梯度的性质和运算法则，证明了定义在黎曼流形上的函数取得极小值的必要条件是广义梯度包含零元素，并利用这些性质给出了黎曼流形上数学规划问题的Fritz John型最优性条件。

What's more the relations between different asset are classified to three groups which are the fundamental-derivative relation、the cross sectional relation and the comprehensive relation, on basis of which the asset pricing anomalies are classified individually to different groups.(2)The price model of the capital asset is constructed trailing the path of the asset value's incrementing and transferring. And then a three–factor model is established which can be utilized by the empirical researches. Concretely, under the capital chain, we conclude the relation between the stocks and the corporate assets is a fundamental-derivative one and the research object is the capital asset under the capital chain.

具体而言，本文在资产链的角度下分析股票和公司资产之间的"基础—衍生"关系，明确了本文的研究对象为资产链下的资本资产；建立了公司资产的价值，将公司资产和其基础资产公司的财产联系了起来，构造了资产链上第一个节点——公司资产的价值；将公司资产和资本资产进行了关联，在考虑公司资产变为资本资产的流动性增值后，建立了资本资产的价格模型；在前文资本资产价格模型的基础上进行了收益分解，基于此引入了具有长中短不同决策周期的三类投资者，在存在无风险资产和不存在无风险资产两种情况下分别建立了可用于实证的三因素模型。

This curriculum primary coverage includes: Function and limit, a circular function derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral, definite integral application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral, curvilinear integral and surface integral, infinite series, differential equation.

该课程的主要内容有：函数与极限，一元函数的导数与微分，中值定理与导数的应用，不定积分，定积分，定积分的应用，空间解析几何和向量代数，多元函数微分法及其应用，重积分，曲线积分与曲面积分，无穷级数，微分方程。

Week 5 The definition and nature of derivative, the geometric meaning of derivative, the relation between the derivability and the integral, derivation rule.

第4周 连续的定义，连续函数的性质，初等函数的连续性，闭区间上连续函数的性质。

The network space is the typical form of abstract space when it comes to the digital stage.

网络空间是抽象空间数字化阶段的典型形式。

The Notarial System,as the system of judicial certification in our country,is both the constructor and the defender of social credit system,It has its special value and function in the social honesty.

公证制度作为我国司法证明制度，既是社会信用体系的建设者，同时也是社会信用的捍卫者，在诚信中有其特殊的价值和功能。