In this lecture, we will derive expressions for the angular momentum and kinetic energy of a 3D rigid body. We shall see that this introduces the concept of the Inertia Tensor. Angular Momentum We start form the expression of the angular momentum of a system of particles about the center of mass

Ax=b有x=A-1b,但实际上并不显式求A-1 例子: 7x=21 X=21/7=3 如果求逆 x=7-1×21=.142857×21=2.99997 这就需要一次除和一次乘,且精度更低

1 中断概念及处理过程 2 8086的中断系统 3 可编程中断控制器8259A及其应用 4 总结

Causation and Treatment Professor of Obstetrics, Northwestern University Medical School Jos. B. De Lee Published in Medicine (Detroit) 3: 643-660, 1897. The highest mortality that befalls the human race in one day occurs on the day of birth. It is said that the most important period of the life of a human being is the time spent in utero. The most trying ordeal a human being sustains is the ordeal of birth

1.分块矩阵的概念 对于矩阵A,采用一种分法,即用若干条纵线和横线分成一 些小矩阵,每一个小矩阵称为A的子块,以子块为元素的形 式上的矩阵称为分块矩阵.在进行行数与列数较大的矩阵 的运算时,常将矩阵分块,以便使运算简化 例如3×4矩阵

SOLUTIONS TO TEXT PROBLEMS 7.1 (c)Carbon-2 is a stereogenic center in 1-bromo-2-methylbutane, as it has four different substituents: H, CH, CH,CH2, and BrCH2. H BrCH2-C-CH2CH, CH3 (d) There are no stereogenic centers in2-romo-2- me. Br CH:-C-CH,CH3 CH, 7.(b) Carbon-2 is a stereogenic center in 1, 1, 2-trimethylcyclobutane

1 The How, When, and Why of Mathematics Spotlight: George Polya Tips on Doing Homework 2 Logically Speaking 3 Introducing the Contrapositive and Converse 4 Set Notation and Quantifiers Tips on Quantification 5 Proof Techniques Tips on Definitions …… 10 Relations Tips on Reading Mathematics 11 Partitions Tips on Putting It All Together 12 Order in the Reals 13 Consequences of the Completeness of R Tips: You Solved ItNow What? 14 Functions, Domain, and Range Spotlight: The Definition of Function 15 Functions, One-to-One, and Onto 16 Inverses 17 Images and Inverse Images Spotlight: Minimum or Infimum? 18 Mathematical Induction 19 Sequences 20 Convergence of Sequences of Real Numbers 21 Equivalent Sets 22 Finite Sets and an Infinite Set 23 Countable and Uncountable Sets 24 The Cantor–Schroder–Bernstein Theorem Spotlight: The Continuum Hypothesis ……

Preface Part I: Preliminaries Column 1: Cracking the Oyster Column 2: Aha! Algorithms [Sketch] Column 4: Writing Correct Programs [Sketch] Column 5: A Small Matter of Programming [Sketch] Part II: Performance Column 7: The Back of the Envelope Column 8: Algorithm Design Techniques [Sketch] Part III: The Product Column 14: Heaps [Sketch] Column 15: Strings of Pearls Epilog to the First Edition Epilog to the Second Edition Appendix 2: An Estimation Quiz Appendix 3: Cost Models for Time and Space Appendix 4: Rules for Code Tuning Solutions for Column 1 Column 5 Column 7 Column 15 Index About The Book Why a Second Edition? To Readers of the First Edition About the First Edition Errata Supporting Material Source Code Web Sites Relevant to the Book Animation of Sorting Algorithms Tricks of the Trade Teaching Material

SOLUTIONS TO TEXT PROBLEMS 8.1 Identify the nucleophilic anion in each reactant. The nucleophilic anion replaces bromine as a sub- stituent on carbon. (b) Potassium ethoxide serves as a source of the nucleophilic anion CH,CH,. CH,CH,: CH, Br: CH3CH2OCH3 + Br: Ethoxide ion Methyl bromide Ethyl methyl ether Bromide ion

La3(Ot-Bu)9 (3.3 mol%), -72° C, 30 h, 74% yield Y3(Ot-Bu)8Cl (3.3 mol%), -43° C, 3.5 h, 50% yield Zr(Ot-Bu)4 (140 mol%), -50° C, 2.5 h, 86% yield La3(Ot-Bu)9 (3.3 mol%)