定理1(无穷小与函数极限的关系) 在自变量的同一变化过程x→x(或x→∞)中,函数f(x) 具有极限A的充分必要条件是(x)=A+a,其中a是无穷小 简要证明令a=f(x)-A,则fx)-a

Cloning vectors: 克隆载体 to clone a gene in a vector Expression vectors: 表达载体 to express a gene from a vector Integration vectors: 整合载体 to integrate a gene in a genome through a vector Cloning vectors 1 Plasmid vecters 2 Bacteriophage vectors 3 Cosmids & BACs 4 Eukaryotic vectors Cloning vectors: allowing the exogenous DNA to be inserted, stored, and manipulated mainly at DNA level. expression vectors: allowing the exogenous DNA to be inserted, stored, and expressed

1.证明a(t)是常向量的充要条件是a(t)=0 2.证明()x()()x()+i()x 4.设向量函数a(t)满足a(t)a'=0,a(t)xa=0,证明a()是常向量。 5.证明F(t)=(2t-1,t2-2,-t2+4t)为共面向量函数

16.322 Stochastic Estimation and Control Professor Vander Velde 1. P(ABCD.=P(A)P(B A)P(C|AB)P(D 1 ABC) Derive this by letting A=CD. Then P(BCD)= P(CD)P(B ICD)= P(C)P(DIC)P(DICD) 2. If A,, A2r.. is a set of mutually exclusive and collectively exhaustive events, then

A-1磁场和磁路 A-2铁磁物质的磁化曲线 A-3磁路的基本定律 A-4恒定磁通磁路的计算 A-5交变磁通磁路简介 A-6铁/线圈

定义:对于A,若有B满足AB=BA=E,则称A为可逆矩阵, 且B为A的逆矩阵,记作A-1=B 定理1若A为可逆矩阵,则A的逆矩阵唯一 证设B与C都是A的逆矩阵,则有

9.2.1 A/D转换的一般工作过程 9.2.2 并行比较型A/D转换器 9.2.3 逐次比较型A/D转换器 9.2.4 双积分式A/D转换器 9.2.5 A/D转换器的主要技术指标 9.2.6 集成A/D转换器及其应用

9.1.1 D/A转换的基本原理 9.1.2 倒T形电阻网络D/A转换器 9.1.4 D/A转换器的输出方式 9.1.3 权电流D/A转换器 9.1.5 D/A转换器的技术指标 9.1.6 D/A转换器的应用

I THE EVIDENCE ON CONVERGENCE A Formal Legal Change B The Structure of Share Ownership C The Growth of European Stock Markets D The Emergence of an International Market for Corporate Control E A Preliminary Evaluation F The Status of the Insider-Dominated Firm II WHEN DOES SEPARATION OF OWNERSHIP AND CONTROL ARISE? A HISTORICAL PERSPECTIVE A The United States Experience 1 The Role of Investment Bankers 2 The New York Stock Exchange as Guardian of the Public Investor B The British Experience C A Civil-Law Contrast: The French Experience D The German Experience: Statist Intervention That Stunted the M arket E A Preliminary Summary III\ DOES LAW MATTER?\ RECONSIDERED A Law and the Decentralized Common-Law World B The Sequence of Legal Change: Reinterpreting LLS&V 1 The United States Experience 2 The Global Experience C The Political Theory of Dispersed Ownership D Implications for Transitional Economies IV C ONCLUSION

1 Motivation The Poisson problem has a strong formulation a minimization formulation and a weak formulation T weak formulations are more general than the strong formulation in terms of regularity and admissible data SLIDE 2 The minimization/weak formulations are defined by: a space X; a bilinear The minimization/weak formulations identify ESSENTIAL boundary conditions NATURAL boundary conditions ed in a The points of departure for the finite element method are the weak formulation(more generally) the minimization statement (if a is SPD) 2 The dirichlet problem 2.1 Strong Formulation Find u such that