第三章3-2n阶方阵的行列式(续) 3.2.5行列式的按任意列展开和特殊矩阵的行列式 1、行列式的按任意行(列)展开 定义命A=(-1)M,称为a的代数余子式 = 命题按行列式的第i行展开,有 证明将第i行先后与第i-1,i-2,…,1行交换,再展开。 推论行列式按第j行展开,有a=a 2、范德蒙行列式 形如 111 |= a1a2…an an 的行列式称为范德蒙行列式

November 21, 2001 Ethical Egoism Here are three questions (of course there are others)we might want an ethical theory to answer for us: i)Which acts are right and which are wrong? Which acts ought we to perform(understandir the\ought\ as moral \ought\)? ii)What makes a particular action right or wrong? What is it about the action that determines its moral status? ii)How do we know what is right and wrong? Remember that according to relativism, whether an action is right or wrong

Introduction-1导引-1 The finite element method is an extension of the analysis techniques(matrix method) of ordinary framed structures. 有限元法是刚架结构分析技术的扩充。 The finite element method was pioneered in the aircraft industry where there was an urgent need for accurate analysis of complex airframe 有限元法首先应用于飞机工业

realized that the immune system could go awry and, instead of reacting against foreign antigens, could focus its attack on self-antigens. He termed this con- dition\horror autotoxicus \We now understand that while mechanisms of self-tolerance normally protect an individual from potentially self-reactive lymphocytes, there are failures They result in an inappropriate response of the immune system against self-components termed autoimmunity In the 1960s, it was believed that all self-reactive lymphocytes

1. An overview of potable Water filtration 1.1 Concept of filtration The filtration processes discussed in here are used primarily to remove particulate material from water

Chapter 3 introduces markets and provides an overview of the supply and demand model. It begins by comparing central planning and the market as alternative methods of allocating resources Chapter 3-Supply and Demand: An Introduction Slide 3

Computer Science 6.111-Introductory Digital Sy Laborator How to Make Your 6.1ll Project Work There are a few tricks of the trade \which allow an experienced digital designer to fix problems quickly. This note is an attempt to fill you in on some with which you might not

Moral Luck One of the important themes in the freewill debate is the idea that freedom is necessary for moral responsibility. In effect, if hard determinism is the correct view, then we should not hold ourselves or others morally responsible. Libertarians, in particular, seem to hold that in order to be responsible for an act, we must be its \sole author. Here is the principle at issue: Control Principle: You are only responsible for what you have control over. If you steal an axe from my garage and use it to break into a gas station, there's no point in holding me responsible, I didn't

Atomic Structure All natural and most synthetic substances on earth are made from the ninety naturally occurring chemical elements. An atom is the smallest particle into which an element can be divided while still retaining the chemical characteristics of that element (fig 3. 1). The nucleus, at the center of the atom contains one or more particles with a positive electrical charge(protons fif and usually some particles of similar mass that have no charge(neutrons

1.aM with an Arbitrary Periodic Carrier 2. Pulse Train Carrier and Time-Division Multiplexing 3. Sinusoidal Frequency modulation 4. DT Sinusoidal am 5. DT Sampling, Decimation,d Interpolation