查询词典 laplace transform

With the aid of the Laplace transformation, an analytical solution for the motion of the plane standing wave in the presence of free surface charge is obtained. Moreover, the motion of the cylindrical standing wave in the presence of free surface charge is solved using semi-analytical method.

通过变换的方法，求得了平面驻波漏电介质模型解析形式的初值解，并用半解析半数值的方法求解了柱面驻波漏电介质模型的初值解。

By means of Laplace transformation and its inverse transformation, analytical solutions are deduced for one-end-fixed pole, cantilever and uncompressible tube composed of VFD material.

本文还用Laplace变换及其逆变换，推导出了杆件、悬臂梁和不可压缩圆筒的理论解，并将其用于发动机药柱的响应分析。

The paper aimed at resolving the question of side value of Laplace equation and Poisson equation in plane angular domain by using integral equation of the solution of mathematic physics equation.

旨在利用数学物理方程解的积分公式，去解决平面角形区域内Laplace方程和Poisson方程的边值问题，而其关键在于构造相应域内的格林函数。

By using nonconforming element and Bramble-Hilbert-Xu Lemma, Laplace approximating eigenvalue is given by the means of asymptotic expansion and the main error terms are presented ,too.

利用Bramble Hilbert Xu引理对Laplace特征值用一个非协调元作对称展开，给出该单元在研究Laplace特征值问题时的误差主项，并进一步给出外推结果，最后给出数值验证。

Both of them are the normal distance of the tangent plane at the check point on the limit state surface in the generalized stochastic space and the asymptotic formula for Laplace''s integral respectively.

提出了利用广义随机变量空间失效极限状态曲面上验算点处切平面法线和Laplace型积分渐近公式两种确定任意分布的荷载变量相关下结构的可靠指标的新方法，改进了现行防波堤失效概率计算理论。

Secondly, a asymptotic approximation formula of structurefailure probability is presented in generalized stochastic space with correlatedrandom variables by the asymptotic method of Laplace integral, by which the failureprobability and risk analysis on the chamfered vertical breakwater have been done.

其次，利用Laplace型积分的渐近计算方法，还推导出了广义随机空间相关荷载变量作用下结构失效概率的一个新的渐近计算公式，并依此算法对削角直立堤进行失效概率的计算以及风险评估。

The development of polygonal finite elements is discussed, including Wachspress interpolation, Laplace interpolation and barycentric coordinates.

论述了多边形有限元的发展历史，给出了多边形单元上的Wachspress插值、Laplace插值和重心坐标的一些最新研究成果。

This paper, firstly, after a deep study of image mathematical models, sets up two kinds of image models namely Laplace partial differential equation model and biharmonic equation model and then obtains the eigenvectors of image by the methods of eigenfunction expansion and boundary recurrence.

本文首先较深入地研究了图象的数学描述，提出图象的Laplace偏微分方程和双调和方程两种模型，继而采用特征函数展开法和边界递推法分别求得图象的特征矢量。

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。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。