1.设μ是环上的有限可加测度,即μ是R上的非负值集函数满足μ()=0 和有限可加性.证明若μ满足次可数可加性,则μ是上的测度 2.设A是X的一个非空真子集.试在-代数={,X,A,A}上定义一个不 恒为零的有限测度

涉及到多组分混合物燃烧时,其物理过程和化学过程是极其复杂的,物理描述和数学表达都将十分困难。本章以尽可能简单的方式来介绍,以期处理下列三种情况: （1)一维平面稳流(仅x方向); （2)一维球面稳流(r方向); （3)二维轴对称稳流(r和x方向)

仔细观察上一节中的几幅图像后可以得到这样的直觉:对于一般 的以2为周期的函数f(x),除了个别点之外(看来是不连续点),当 m→∞时,它的 Fourier级数的部分和函数序列{m(x)}

Discrete-Time Signals: Time-Domain Representation Signals are represented as sequences of numbers, called samples Sample value of a typical signal or sequence denoted as x[n] with n being an integer in the range-∞≤n≤∞ ·x[n] defined only for integer values of and undefined for non-integer values

一、连续时间情形的二阶矩性质 推论若输入过程X(t)是宽平稳过程,则输出过程Y(t)亦为宽平稳过程,且X(t)和Y(t)联合宽平稳

一、选择题(共6题30分) 1.5分(2170)2170 在下列两题中,选择你认为正确的答案:(1)在某恒定温度下,二元物系的p-x图如下所示,则在x处组分A的活度系数是:() (A)=CH/CE (B)=CH/CD (C)7A-CH/CG

只要近似地算出右边的积分Ikfx,y(x)dx,则可通 过yi1=y+k近似(x).而选用不同近似式Ik,可得到不同的计算公式

定义在假设y=y(x),即第i步计算是精确的前提下,考 虑的截断误差R=y(x)-y称为局部截断误差鬥 local truncation error

Problem Set 1 Prof. Gene Chang Due on Dec.5 5th in the class,orta' 's office(经院220室) Late turn-in may result in a penalty in the grade 1. The consumption set is={x X E}. Suppose the utility function representing the preference

Problem Set 3 Prof. Gene Chang (For Ph. D students, due on Dec. 28th in the class, or TA's office. For M.A. students, due on Dec. 26th, in the class or TA's office. Late turn-in may result in a penalty in the grade) 1. Kland is a Robinson Crusoe type economy. Robinson, as the consumer and the owner of the firm, has the utility function U(x,) =aIn x+ BInI, where is leisure. Robinson's endowment