等式

PART 1 UNIT 1 B Electrical and Electronic Engineering Basics A Electrical Networks ———————————— 3 Three-phase Circuits A The Operational Amplifier ——————————— 5 UNIT 2 B Transistors A Logical Variables and Flip-flop —————————— 8 UNIT 3 B Binary Number System A Power Semiconductor Devices —————————— 11 UNIT 4 B Power Electronic Converters A Types of DC Motors —————————————15 UNIT 5 B Closed-loop Control of DC Drivers A AC Machines ———————————————19 UNIT 6 B Induction Motor Drive A Electric Power System ————————————22 UNIT 7 B PART 2 UNIT 1 B Power System Automation Control Theory A The World of Control ————————————27 —————29 The Transfer Function and the Laplace Transformation UNIT 2 B A Stability and the Time Response ————————— 30 Steady State————————————————— 31 A The Root Locus ————————————— 32 ————— 33 UNIT 3 B The Frequency Response Methods: Nyquist Diagrams UNIT 4 A The Frequency Response Methods: Bode Piots ————— 34 B Nonlinear Control System 37 UNIT 5 A Introduction to Modern Control Theory B State Equations 40 38 UNIT 6 A Controllability, Observability, and Stability B Optimum Control Systems UNIT 7 A Conventional and Intelligent Control B Artificial Neural Network Computer Control Technology A Computer Structure and Function 42 B Fundamentals of Computer and Networks 43 44 PART 3 UNIT 1 UNIT 2 A Interfaces to External Signals and Devices B The Applications of Computers 46 UNIT 3 A PLC Overview B PACs for Industrial Control, the Future of Control UNIT 4 A Fundamentals of Single-chip Microcomputer 49 B Understanding DSP and Its Uses 1 UNIT 5 A A First Look at Embedded Systems B Embedded Systems Design Process Control A A Process Control System B 50 PART 4 UNIT 1 Fundamentals of Process Control 52 53 UNIT 2 A Sensors and Transmitters B Final Control Elements and Controllers UNIT 3 A P Controllers and PI Controllers B PID Controllers and Other Controllers UNIT 4 A Indicating Instruments B Control Panels Control Based on Network and Information A Automation Networking Application Areas B Evolution of Control System Architecture PART 5 UNIT 1 UNIT 2 A Fundamental Issues in Networked Control Systems B Stability of NCSs with Network-induced Delay UNIT 3 A Fundamentals of the Database System B Virtual Manufacturing—A Growing Trend in Automation UNIT 4 A Concepts of Computer Integrated Manufacturing B Enterprise Resources Planning and Beyond Synthetic Applications of Automatic Technology A Recent Advances and Future Trends in Electrical Machine Drivers B System Evolution in Intelligent Buildings PART 6 UNIT 1 UNIT 2 A Industrial Robot B A General Introduction to Pattern Recognition UNIT 3 A Renewable Energy B Electric Vehicles UNIT 1 A

电路 2 电路或电网络由以某种方式连接的电阻器，电感器和电容器等元件组成。如果网络不包含能源，如电池或发电机，那么就被称作无源网络。换句话说，如果存在一个或多个能源，那么组合的结果为有源网络。在研究电网络的特性时，我们感兴趣的是确定电路中的电压和电流。因为网络由无源电路元件组成，所以必须首先定义这些元件的电特性。就电阻来说，电压-电流的关系由欧姆定律给出，欧姆定律指出：电阻两端的电压等于电阻上流过的电流乘以电阻值。在数学上表达为： u=iR (1-1A-1)式中 u=电压，伏特；i =电流，安培；R =电阻，欧姆。纯电感电压由法拉第定律定义，法拉第定律指出：电感两端的电压正比于流过电感的电流随时间的变化率。因此可得到：U=Ldi/dt 式中 di/dt =电流变化率，安培/秒； L =感应系数，享利。电容两端建立的电压正比于电容两极板上积累的电荷 q 。因为电荷的积累可表示为电荷增量 dq 的和或积分，因此得到的等式为 u=，式中电容量 C 是与电压和电荷相关的比例常数。由定义可知，电流等于电荷随时间的变化率，可表示为 i = dq/dt。因此电荷增量 dq 等于电流乘以相应的时间增量，或 dq = i dt，那么等式(1-1A-3)可写为式中 C =电容量，法拉。

PART 1 Electrical and Electronic Engineering Basics UNIT 1 A Electrical Networks B Three-phase Circuits UNIT 2 A The Operational Amplifier ——————————— 5 B Transistors UNIT 3 A Logical Variables and Flip-flop —————————— 8 ———————————— 3 B Binary Number System UNIT 4 A Power Semiconductor Devices —————————— 11 B Power Electronic Converters UNIT 5 A Types of DC Motors —————————————15 B Closed-loop Control of DC Drivers UNIT 6 A AC Machines ———————————————19 B Induction Motor Drive UNIT 7 A Electric Power System ————————————22 B Power System Automation PART 2 Control Theory UNIT 1 A The World of Control ————————————27 B The Transfer Function and the Laplace Transformation UNIT 2 A B —————29 Stability and the Time Response ————————— 30 ————————————— 32 Steady State————————————————— 31 UNIT 3 A The Root Locus B The Frequency Response Methods: Nyquist Diagrams ————— 33 UNIT 4 A The Frequency Response Methods: Bode Piots ————— 34 B Nonlinear Control System 37 UNIT 5 A Introduction to Modern Control Theory B UNIT 6 State Equations 40 38 A Controllability, Observability, and Stability B Optimum Control Systems UNIT 7 A Conventional and Intelligent Control B Artificial Neural Network PART 3 UNIT 1 Computer Control Technology A Computer Structure and Function B 42 43 44 Fundamentals of Computer and Networks UNIT 2 A Interfaces to External Signals and Devices B The Applications of Computers 46 UNIT 3 A PLC Overview B PACs for Industrial Control, the Future of Control 1 UNIT 4 A Fundamentals of Single-chip Microcomputer B Understanding DSP and Its Uses 49 UNIT 5 A A First Look at Embedded Systems B Embedded Systems Design PART 4 UNIT 1 Process Control A A Process Control System 50 B Fundamentals of Process Control 53 52 UNIT 2 A Sensors and Transmitters B Final Control Elements and Controllers UNIT 3 A P Controllers and PI Controllers B PID Controllers and Other Controllers UNIT 4 A Indicating Instruments B Control Panels PART 5 UNIT 1 Control Based on Network and Information A Automation Networking Application Areas B Evolution of Control System Architecture UNIT 2 A Fundamental Issues in Networked Control Systems B Stability of NCSs with Network-induced Delay UNIT 3 A Fundamentals of the Database System B Virtual Manufacturing—A Growing Trend in Automation UNIT 4 A Concepts of Computer Integrated Manufacturing B Enterprise Resources Planning and Beyond PART 6 UNIT 1 Synthetic Applications of Automatic Technology A Recent Advances and Future Trends in Electrical Machine Drivers B System Evolution in Intelligent Buildings UNIT 2 A Industrial Robot B A General Introduction to Pattern Recognition UNIT 3 A Renewable Energy B Electric Vehicles 2 UNIT 1 A

电路 电路或电网络由以某种方式连接的电阻器，电感器和电容器等元件组成。如果网络不包含能源，如电池或发电机，那么就被称作无源网络。换句话说，如果存在一个或多个能源，那么组合的结果为有源网络。在研究电网络的特性时，我们感兴趣的是确定电路中的电压和电流。因为网络由无源电路元件组成，所以必须首先定义这些元件的电特性。就电阻来说，电压-电流的关系由欧姆定律给出，欧姆定律指出：电阻两端的电压等于电阻上流过的电流乘以电阻值。在数学上表达为： u=iR (1-1A-1)式中 u=电压，伏特；i =电流，安培；R =电阻，欧姆。纯电感电压由法拉第定律定义，法拉第定律指出：电感两端的电压正比于流过电感的电流随时间的变化率。因此可得到：U=Ldi/dt 式中 di/dt =电流变化率，安培/秒； L =感应系数，享利。电容两端建立的电压正比于电容两极板上积累的电荷 q 。因为电荷的积累可表示为电荷增量 dq 的和或积分，因此得到的等式为 u=，式中电容量 C 是与电压和电荷相关的比例常数。由定义可知，电流等于电荷随时间的变化率，可表示为 i = dq/dt。因此电荷增量 dq 等于电流乘以相应的时间增量，或 dq = i dt，那么等式(1-1A-3)可写为式中 C =电容量，法拉。

PART 1 Electrical and Electronic Engineering Basics UNIT 1 A UNIT 2 A UNIT 3 A UNIT 4 A UNIT 5 A UNIT 6 A UNIT 7 A Electrical Networks ———————————— 3 B Three-phase Circuits The Operational Amplifier ——————————— 5 Logical Variables and Flip-flop —————————— 8 Power Semiconductor Devices —————————— 11 Types of DC Motors —————————————15 AC Machines ———————————————19 Electric Power System ————————————22 B Transistors B Binary Number System B Power Electronic Converters B Closed-loop Control of DC Drivers B Induction Motor Drive B Power System Automation PART 2 Control Theory UNIT 1 A B UNIT 2 A UNIT 3 A UNIT 4 A The World of Control ————————————27 Stability and the Time Response ————————— 30 The Root Locus ————————————— 32 The Transfer Function and the Laplace Transformation —————29 B Steady State————————————————— 31 B The Frequency Response Methods: Nyquist Diagrams ————— 33 The Frequency Response Methods: Bode Piots ————— 34 B Nonlinear Control System 37 UNIT 5 A Introduction to Modern Control Theory B B B PART 3 B B B State Equations Optimum Control Systems Artificial Neural Network Computer Control Technology 42 43 44 Fundamentals of Computer and Networks The Applications of Computers 46 40 38 UNIT 6 A Controllability, Observability, and Stability UNIT 7 A Conventional and Intelligent Control UNIT 1 A Computer Structure and Function UNIT 2 A Interfaces to External Signals and Devices UNIT 3 A PLC Overview PACs for Industrial Control, the Future of Control 1 UNIT 4 A Fundamentals of Single-chip Microcomputer 49 B B PART 4 B B B B PART 5 B B B B PART 6 Understanding DSP and Its Uses Embedded Systems Design Process Control 50 52 53 Fundamentals of Process Control UNIT 5 A A First Look at Embedded Systems UNIT 1 A A Process Control System UNIT 2 A Sensors and Transmitters Final Control Elements and Controllers PID Controllers and Other Controllers Control Panels Control Based on Network and Information Evolution of Control System Architecture Stability of NCSs with Network-induced Delay Virtual Manufacturing—A Growing Trend in Automation Enterprise Resources Planning and Beyond Synthetic Applications of Automatic Technology UNIT 3 A P Controllers and PI Controllers UNIT 4 A Indicating Instruments UNIT 1 A Automation Networking Application Areas UNIT 2 A Fundamental Issues in Networked Control Systems UNIT 3 A Fundamentals of the Database System UNIT 4 A Concepts of Computer Integrated Manufacturing UNIT 1 A Recent Advances and Future Trends in Electrical Machine Drivers B B B System Evolution in Intelligent Buildings A General Introduction to Pattern Recognition Electric Vehicles UNIT 2 A Industrial Robot UNIT 3 A Renewable Energy 2 UNIT 1 A

电路 电路或电网络由以某种方式连接的电阻器，电感器和电容器等元件组成。如果网络不包含能源，如电池或发电机，那么就被称作无源网络。换句话说，如果存在一个或多个能源，那么组合的结果为有源网络。在研究电网络的特性时，我们感兴趣的是确定电路中的电压和电流。因为网络由无源电路元件组成，所以必须首先定义这些元件的电特性。就电阻来说，电压-电流的关系由欧姆定律给出，欧姆定律指出：电阻两端的电压等于电阻上流过的电流乘以电阻值。在数学上表达为： u=iR (1-1A-1)式中 u=电压，伏特；i =电流，安培；R =电阻，欧姆。纯电感电压由法拉第定律定义，法拉第定律指出：电感两端的电压正比于流过电感的电流随时间的变化率。因此可得到：U=Ldi/dt 式中 di/dt =电流变化率，安培/秒； L =感应系数，享利。电容两端建立的电压正比于电容两极板上积累的电荷 q 。因为电荷的积累可表示为电荷增量 dq 的和或积分，因此得到的等式为 u=，式中电容量 C 是与电压和电荷相关的比例常数。由定义可知，电流等于电荷随时间的变化率，可表示为 i = dq/dt。因此电荷增量 dq 等于电流乘以相应的时间增量，或 dq = i dt，那么等式(1-1A-3)可写为式中 C =电容量，法拉。

An equation which is true only for certain value of a letter in it,or for certain sets of related values of two or more of its letters,is an equation of condition ,or simply an equation.

一个等式若仅仅对其中的一个字母的某些值成立，或者对其中两个或多个字母的若干组相关的值成立，则他是一个条件等式，或简称方程。

By the distributive law,the left-hand side of this equation equals (0+0)*a=

除了运用这些公理之外还运用了等式或方程的属性：即等式两边，乘以某个整数后，所得到的新的等式依然是成立的。

This algorithm constructs a set of linear equations. As a result, the relation of the reconstructed design variables and the original design variables is derived, the variable number of optimum design is decreased from m + n + 2 to 4, and the equality constraint optimization problem is converted into reduced- dimension no equality constraint optimization problem.

该算法通过构造一组线性方程，得到了由重构设计变量到原设计变量的映射关系，使优化设计的变量由原来的m + n + 2个减少到4个，并将有等式约束优化问题转换成降维的无等式约束优化问题。

Markowitz model of equality constraint protrusion analysis is constructed,including the generic restriction conditions.

文章在将一般化的约束条件纳入分析框架的基础上，建立起Markowitz等式约束凸规划分析模型，运用二次规划问题降维算法的原理，提出了一个求解Markowitz等式约束凸规划模型的快速算法。

In chapter 2 we propose a linear equality constraint optimization question , the new algorithm is combined with the new conjugate gradient method(HS-DY conjugate gradient method)and Rosen"s gradient projection method , and has proven it"s convergence under the Wolfe line search.In chapter 3 we have combined a descent algorithm of constraint question with Rosen"s gradient projection, and proposed a linear equality constraint optimization question"s new algorithm, and proposed a combining algorithm about this algorithm, then we have proven their convergence under the Wolfe line search, and has performed the numerical experimentation.

在第三章中我们将无约束问题的一类下降算法与Rosen投影梯度法相结合，将其推广到线性等式约束最优化问题，提出了线性等式约束最优化问题的一类投影下降算法，并提出了基于这类算法的混合算法，在Wolfe线搜索下证明了这两类算法的收敛性，并通过数值试验验证了算法的有效性。

The first one is an algorithm with terminal sliding mode equality constraint. The second is a dual-mode control scheme, which enlarge the terminal region. The sliding mode based MPC is implemented while system state is outside of terminal region, and sliding mode variable structure control designed off-line is used once system state arrives in the terminal region.

第一种方法为终端滑模等式约束非线性模型预测控制方法，首先离线设计切换函数使得滑动模态渐近稳定，然后在有限预测时域的基础上对切换函数附加一个终端等式约束；第二种方法为双模控制方案，在终端区外采用模型预测控制，使得系统状态在有限时域内到达终端区内；在终端区内部采用离线设计的滑模变结构控制，使得系统渐近稳定。

Using the result for non-restricted model, we transform the restricted model to common model, and multi collectivity model to single collectivity model, thus, the necessary and sufficient conditions that nonhomogeneous linear estimators for Sβ are admissible in the class of nonhomogeneous linear estimators are obtained which filled the blank for admissibility for restricted linear model.

对线性等式约束的共同均值线性模型，利用无约束单总体模型的现有结果，通过适当变换，把等式约束模型向无约束转换，并把多总体转换为单总体，在矩阵损失下找到了均值参数β的条件可估函数Sβ的线性估计∑mAiyi+a在非齐次线性估计类中可容许的充要条件，填补了等式约束的共同均值线性模型可容许性方i=1面的空白。

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。