The ability of a company to build a knowledge core and continuously create new nowledge is critical to the success of product development. There are four areas where knowledge is needed for product development the different cultures of the world their needs wants and attitudes. and how they can assimilate and absorb new products

Number Theory 1. Six proofs of the infinity of primes …… 3. Binomial coefficients are (almost) never powers 4. Representing numbers as sums of two squares …… 8. Some irrational numbers 9. Three times π2/6 Geometry 10. Hilbert’s third problem: decomposing polyhedra63 11. Lines in the plane and decompositions of graphs …… 15. The Borromean rings don’t exist …… 17. Every large point set has an obtuse angle 18. Borsuk’s conjecture Analysis …… 21. The fundamental theorem of algebra …… 25. Cotangent and the Herglotz trick 26. Buffon’s needle problem Combinatorics 27. Pigeon-hole and double counting …… 32. Cayley’s formula for the number of trees 33. Identities versus bijections …… 36. The Dinitz problem247 37. Permanents and the power of entropy253 …… 41. Communicating without errors 42. The chromatic number of Kneser graphs …… 44. Probability makes counting (sometimes) easy

1 Preliminaries The Integers 3 Groups 4 Cyclic Groups 5 Permutation Groups 6.1 Cosets 7 Introduction to Cryptography 8 Algebraic Coding Theory 9 Isomorphisms 10 Normal Subgroups and Factor Groups 11 Homomorphisms 12 Matrix Groups and Symmetry 13 The Structure of Groups 14 Group Actions 15 The Sylow Theorems 16 Rings 17 Polynomials 18 Integral Domains 19 Lattices and Boolean Algebras 20 Vector Spaces 21 Fields 22 Finite Fields 23 Galois Theory

Section1油气藏形成的基本条件(Basic Condition of 0il and Gas Pools Generation) Section2油气聚集与成藏(Accumulation and Formation Pools of 0il and Gas) Section3油气藏的破坏与油气的再分布 (Redistribution and Breakage of 0il&Gas pools）

50.1 Introduction 50.2 Defining Equations Piezoelectricity and Electrostriction. Electrostriction and V. Sundar and Compliance Matrices Magnitudes and Signs of Electrostrictive R.E. Newnham Coefficients

Let vs=100 cos a t V in the circuit shown in Fig. 9-12.(a) Find the equivalent parallel RLC circuit and then determine resonant frequency @r, Q, and v(t).(b) Find i, (t),i2(t), and i3(t) (c)Calculate the average power loss in the 10 kQ2 resistor and the maximum energy stored in the inductor

In the chapter we shall introduce some two-terminal element which have properties, which are quite different than those of the resistor. These elements are the inductor and capacitor. The inductor and capacitor are passive elements, which are capable of storing and delivering finite amounts of energy

11.1 Introduction 11.2.1 Scaling Operation 11.2.2 Round-off Noise 11.3 State Variable Description of Digital Filters 11.4 Scaling and Round-off Noise Computation 11.6 Round-off Noise Computation Using State Variable Description 11.7 Slow-Down, Retiming, and Pipelining

1. 中国的选举制度及其本质 The Election System of China and Its Nature 2. 中国的政党制度与民主党派 The Political Party System and Democratic Parties of China 3. 中国的行政制度 The Administration System of China 4. 中国的资源状况与人口政策 The Situation of Resources and the Population Policy in China 5. 中国的环保政策 China’s Environmental Protection Policy

1. 让西方开眼识中国的先驱人物及其著作 Pioneers Introducing China to the West and Their Works 2. 天主教在中国的传播及争论 The Spread of Catholicism in China and Its Controversy