The C Programming Language Chapter 1 An Overview of C 1.2 The feature of C -Cis terse, it has fewer keywords - has lot of operators and data types> - is structured and modular. -C is the basis for C++ and Java - is portable. Code written on one machine can

12.2.3一元多项式的判别式的定义 给定K[x]内一个n次多项式 F(x)=ax+axn-+…+an(a≠0) 设a1,a2,…an是它的n个根,令 称其为F(x)的判别式。显然,F(x)有重根其充分必要条件是D(F)=0 现在考察n元式

3.5方阵的行列式 定义5.1设A=(an)是一个n阶矩阵,则A自然地 确定了一个阶行列式det(an)这个行列式称为 A的行列式,记作|A|或detA

2.1数列的极限 一、数列 定义1按一定顺序排列的一列数12…叫做一个数列,数列中的每一个数叫数列的项,第n项an叫数列的一般项或通项.简记为{an}数列也可称作整标函数

9-3实系数多项式根的分布 9.3.1复系数多项式的根的绝对值的上界 命题设f(x)=axn+a1xn+…+an∈C[x],其中a≠0而n≥1。令 a=max{ 则对f(x)的任一复根a,有|ak1+A/a 证明如果A=0,则a=0,命题成立。下面设A>0 如果|a1+A/a,那么,因为f(a)=0,故有 la Haa++aa a+…+an ≤A(ar-++1)=a(la--1)/(a-1) 现在|a>1,故从上式立刻得到 la a\ Ala\ /(al-1) 两边消去|a,得|ak1+A/a|,矛盾

9.2.2Qx]内多项式的因式分解 定义9.12定义Z[x]={axn+a1x+…+∈Z,i=01n}。 假设f(x)∈Z[x],f(x)≠0及±1。如果g(x)h(x)∈[x],使得f(x)=g(x)h(x), 且g(x)≠±1,h(x)≠±1,则称f(x)在Z[x]内可约,否则称f(x)在Z[x]内不可约 定义9.13设 f(x)=ax+axn+…+an∈Z[x], 这里n≥1。如果(aa1an)=1,则称f(x)是一个本原多项式。 命题Q[x]内一个非零多项式f(x)可以表成一个有理数k和一个本原多项式f(x)的

What is an alkyl halide An organic compound containing at least one carbon-halogen bond (C-X) X(F, Cl, Br, Replaces h Can contain many C-X bonds

The principal-agent problem describes a class of interactions between two parties to a contract, an agent and a principal. The legal origin of these terms suggests that the principal engages the agent to act on his(the principal s behalf. In economic applications, the agent is not necessarily an employe

Ch. 15 Forecasting Having considered in Chapter 14 some of the properties of ARMA models, we now show how they may be used to forecast future values of an observed time series. For the present we proceed as if the model were known ecactly Forecasting is an important concept for the studies of time series analysis. In the scope of regression model we usually

Conditional Probability Suppose that we pick a random person in the world. Everyone has an equal chance of being selected. Let A be the event that the person is an MIT student, and let B be the event that the person lives in Cambridge. What are the probabilities of these events? Intuitively