第五章向量分析 习题讨论:曲线、曲面积分的计算 习题讨论题 1.计算积分:x2d,C:x+y2+z2=1 x+y+z=0' 2,计算积分:1-cos dx+sin+cos ydx, x xx) 沿任一条不与轴相交的曲线。 3,计算1=2mx2+y2,其中X=ax+by 1XdY-Ydx , ad-bc≠0,C为包围原点的闭曲线 4,计算s,j=ad 其中S:x2+y2+z2=a2,外法线为曲面正向。 5,设函数满足条件:

I. Choose the Correct Answer 1. An object moves in the xy plane with an acceleration that has a positive x component. At time=0 the object has a velocity given by=3i +0j. What can be concluded about the y component of the acceleration?

Signaling games are used to model the following situation: Player 1, the Sender, receives some private information and sends a message m E M to Player 2, the Receiver. The latter, in turn, observes m but not 0, and chooses response r E R. Players'payoffs depend on 0, m and r. What could be simpler? Yet, there is a huge number of economically interesting games that fit nicely within this framework: Spence's job market signaling model is the leading example, but applications abound in IO (limit pricing, disclosure...) finance (security design) and political economics

本章将介绍一些必要的准备知识。第一节为 Hilbert空间中基的概念,第二节为线性算子的定义,第三节为有关积分的性质,第四节将介绍框架与 Riesz基。 1. BanachHibert空间与空间设X为数域K上的线性空间,若函数:X→R+满足如下三个条件: 1.三角不等式:w(x+y)≤w(x)+w(y),x,y∈, 2.齐次性:w(ax)=lalw(x),a∈k,x∈X, 3.正定性:w(x)=0分x=0

零状态响应是电路在零初始 状态下,仅由电路的输入引○+Rc+ 起的响应。 在t0时,v(O)=0,仅由直流 电流源F引起的响应就是 零状态响应。 若电路处零状态,=u(为阶跃函数,所求的响 应就是阶跃响应。若i=u(为单位阶跃函数,所 求的响应就是单位阶跃响应s(t)

非递归定义 树结构是二元组(D,R),其中,D是n个数据元素的有穷 集合(n>0)(数据元素称为结点),R是D上的一个关系 。n=0时,称为空树;否则它满足以下条件: a)有且仅有一个结点d∈D,满足:不存在任何d∈D, 使