Lyapunov analysis, which uses monotonicity of a given function of system state along trajectories of a given dynamical system, is a major tool of nonlinear system analysis It is possible, however, to use monotonicity of volumes of subsets of the state space to predict certain properties of system behavior. This lecture gives an introduction to suc methods

一、库仑滴定 coulometric titration 二、自动库仑滴定 automated coulometric titration 三、微库仑分析 microcoulometric analysis electrolytic and coulometric analysis

一、电解分析基础 fundament of electrolytic analysis 二、理论分解电压与析出电位 theoretical decomposition voltage and deposited potential 三、浓差极化与电化学极化 concentration polarization and electrochemical polarization 四、电重量分析与电解分离 electrogravimetric analysis and electrolytic separation

7.1 Consistence, Convergence and Stability of Discretized Equations 7.1.1 Truncation error and consistence(相容性） 7.1.3 Round off error （舍入误差）and stability （稳定性） of initial problems（初值问题） 7.1.4 Examples 7.1.2 Discretization error（离散误差） and convergence(收敛性） 7.2 von Neumann Method for Analyzing Stability of Initial Problems 7.2.1 Propagation of error vector with time 7.2.2 Discrete Fourier expansion 7.2.3 Basic idea of von Neumann analysis 7.2.4 Examples of von Neumann analysis 7.2.5 Discussion on von Neumann analysis

7.3 Conservation of Discretized Equations 7.4 Transportive Property of Discretized 7.5 Sign-preservation Principle for Analyzing 7.3.1 Definition and analyzing model 7.3.2 Direct summation method 7.3.3 Conditions for guaranteeing conservation 7.3.4 Discussion－expected but not necessary 7.3.2 Direct summation method (直接求和法) 7.3.4 Discussion－Conservation is expected but not 7.4.1 Essential (基本的) difference between 7.4 Transportive (迁移)Character of Discretized 7.4.2 CD of diffusion term can propagate(传播) 7.4.3 Analysis of transport character of 7.4.4 Upwind scheme of convection term 7.4.5 Discussion on transport character of 7.4.1 Essential difference between convection 7.4 Transportive Property of Discretized Equations 7.4.3 Analysis of transport character (迁移特性) of 7.4.4 Upwind scheme (迎风格式) of convective 7.4.5 Discussion on transportive character of 7.5 Stability analysis of discretized diffusion￾convection equation

一、电解分析原理与过程 principal and general process of coulometric analysis 二、电量的确定 the quantity of electrical charge 三、电流效率与影响电流 效率的因素 current efficiency and factors effected on current efficiency principle and applications of coulometric analysis

1 Case analysis The proof of a statement can sometimes be broken down into can be tackled individually 1.1 The method In order to prove a proposition P using case analysis Write, We use case analysis Identify a sequence of conditions, at least one of which must hold. (If this is not obvious, you must prove it

6.1时序逻辑电路的基本概念 Basic Concepts of sequence Logic Circuits 6.2同步时序逻辑电路的分析 Analysis of Synchronous sequence Logic Circuits 6.3同步时序逻辑电路的设计 Design of Synchronous Sequence Logic Circuits 6.4异步时序逻辑电路的分析 Analysis of Asynchronous sequence Logic Circuits 6.5典型时序逻辑集成电路

1. What is cubing analysis ? 2. Six sides of cubing analysis 3. Example: earthquake problem 4. Assignment: Earthquake as I see

The aim of this chapter is to study how output is determined in Keynesian framework. The analysis in this chapter is often named multiplier analysis