3.4转置以及特殊矩阵 定义4.1设A=(an),把A的行写成列而得的 mxn nxm矩阵称为A的转置矩阵,记为AT,即

1.已知下列函数在指定区间上可积,用定义求下列积分: (1)|xtx(00)

一、单项选择题 1.b2.a3.c.d5.c6.a7.b.a.c10.d11.D 二、多项选择题 1. CE 2. AC 3. ABCDE 4. ABCD 5. BCD 6. ABCDE 7.ACD

a Objectives FocuS Warm-up(background 19.1 Saving what you've done 16.2 Visiting a factory 16.3 The company report Sum-up Assignment

第四章例题 一填空题 1.二元混合物的恰的表达式为H=x1H1+x2H2+ax2,则 H1=H1+ax2;H2=H2+ax2(由偏摩尔性质的定义求得) 2.填表 偏摩尔性质(M) 溶液性质(M) 关系式(M=xM) In( /;) Inf Inf=x,(. /x;) Ino Inop Ing=x, Inp InYi GE/RT GE/RT=x, Inri 3.有人提出了一定温度下二元液体混合物的偏摩尔体积的模型是 =(1+ax2),2=V2(1+bx1),其中V1,V2为纯组分的摩尔体积,a,b为常数,问 所提出的模型是否有问题? Gibbs-Duhem-方程得a=x2b,ab不可能是常数,故提出的模型有问题;若模型改为1=11+ax2)2=V2(1+bx2),情况又如 何?ibbs- Duhem方程得,a=b,故提出的模型有一定的合理性

一、矩阵的满秩分解 1.定义:设A∈C(r>0),若存在矩阵F∈Cx及G∈C,使得A=FG,则称其为A的一个满秩分解

对应特征值礼=-1只有1个线性无关的特征向量,而特征方程的基础解系为5,全体特征向量为x=k1l1(k1≠0)例9设方阵A的特征值A1≠2,对应的特征向量分别为x1,x2,证明: (1)x1-x2不是A的特征向量;

Utilitarianism Last time we considered three questions one might ask an ethical theory to answer i)Which acts are right and which are wrong? Which acts ought we to perform(understanding the\ought as a moral ii)What makes a particular action right or wrong? What is it about the action that determines its moral status? 111) How do we know what is right and wrong? There are a variety of strategies for answering(iii). One might hold e. g. that moral truths are revealed by god and

多维事务数据库DB的结构为 (ID,AA2,, Anitems),A是DB中的结构化 属性(例如顾客的年龄,职业收入等),而 items是同事务连接的项的集合(例如购物篮 中频繁项集)。每一个 t=(id,aa 2..2 items-t)由两部分信息组成: 维信息(a1,a2man)项集信息。 挖掘过程分为两部分:挖掘维度信息的模 式和从投影的子DB中找出频繁项集

al Identity ll Problem of synchronic identity for persons: under what conditions are two simultaneous person-events events in the life of the same person? Problem of diachronic identity for persons under what conditions are two person-stages stages in the life of a single person. In particular, what makes a particular person-stage a continuation of me as I am right now? Background desiderata: an account of personal identity should allow for the possibility of anticipation and memory, i.e., of individual psychological connections between different person stages. It should also allow us to justify our practices of