In this lecture, we consider the motion of a 3D rigid body. We shall see that in the general three dimensional case, the angular velocity of the body can change in magnitude as well as in direction, and, as a consequence, the motion is considerably more complicated than that in two dimensions. Rotation About a Fixed Point We consider first the simplified situation in which the 3D body moves in such a way that there is always a point, O, which is fixed. It is clear that, in this case, the path of any point in the rigid body which is at a

显然,a不是厄米算符,a≠a。但ata是厄米算符,(ata)=a'a。 问题:aa是什么力学量? [a=0,∴与i共同本征态,只要求解了首的本征方程,就求解了 的本征方程

Intensive Study There's a Lot More to Life than a Job Para.1 It has often been remarked that the saddest thing about youth is that it is wasted on the young. Para. 2 Reading a survey report on first-year college students, I recalled the regret, \If only knew then what know now

Introduction a dollar today is worth more than a dollar tomorrow a safe dollar is worth more than a risky dollar People have different degrees of risk aversion. Some are more willing to take a chance than others A tradeoff exists between risk and return

Modified atmosphere packaging(map) is widely used for many food products and is now a commercial and economic reality. MAP is common in markets that have a well established and controlled cold chain and that can sustain a high- priced quality product. However, MAP is a mild preservation method and a major concern is that MAP storage may not provide a sufficient level of safety for the extended storage of fresh chilled food products with regard to pathogenic

A real, an imaginary, or a complex forcing function will produce a real, an imaginary, or complex response, respectively. Instead of applying a real forcing function to obtain the desired real response, we apply a complex forcing function whose real part is the given real forcing function; we obtain a complex response whose real part is the desired real response

数字通信系统具有许多优点。然而许多信源输出都是模拟信号。 若要利用数字通信系统传输模拟信号,一般需三个步骤: (1)把模拟信号数字化,即模数转换(A/D); (2)进行数字方式传输; (3)把数字信号还原为模拟信号,即数模转换(D/A) 由于A/D或D/A变换的过程通常由信源编(译)码器实现,所以我们把发端 的A/D变换称为信源编码,而收端的D/A变换称为信源译码,如语音信号的数字 化叫做语音编码

设A是n维欧氏空间V内的一个线性变换,如果对a,∈V,都有 (Aa,)=(a, AB) 则称A是V内的对称变换 命题n维欧氏空间V上的线性变换A是对称变换当且仅当它在标准正交基 ,2n下的矩阵A是实对称矩阵

一、选择题 A型题 1.a2.e3.d4.c5.d6.b7.8.d9.c10.e11.a 12.e13.a14.c15.b16.a17.d18.e19.d20.c21.c22.c 23.c24.b25.b26.c27.a2

How Might a mouse search a Maze for Cheese? heese · State Space Search? As a Constraint Satisfaction Problem? Goal-directed Planning As a rule or production System? What is missing? Ideas in this lecture Objective is to accumulate rewards rather than goal states Task is to generate policies for how to act in all situations rather than a plan for a single starting situation