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5.1 非简并定态微扰理论 Non degenerate perturbation theory of stationery state 5.2 简并情况下的微扰理论 Degenerate perturbation theory 5.3 氢原子的一级斯塔克效应 First order Stark effect of hydrogen atom 5.4 变分法 Variational Method 5.5 氦原子基态 Ground State to Helium Atom 5.6 与时间有关的微扰理论 Perturbation theory with time 5.7 跃迁几率 Transition Probability 5.8 光的发射和吸收 Light emission and absorption 5.9 选择定则 Selection rule
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In this chapter we first introduce some of the basic definitions most often used in network graph theory and then implement some of the results of introductory graph theory to obtain general laws (KCL and KVL) which apply to any network
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Some facts in business-cycle Real-business-cycle theory's explanation to some important economic variables Explanation to the fluctuations of output, consumption investment Explanations to employment fluctuation Explanations to monetary fluctuation Evaluation to Real-business-cycle theory
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◼ BCS-BEC crossover theory and pair fluctuation theory ◼ Gauge invariant linear response in BCS mean field theory: Consistent Fluctuation of Order parameter (CFOP) ◼ A diagrammatic derivation of CFOP ◼ Gauge invariant linear response with pair fluctuation ◼ Summary
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1. The Basics 2. Matching, Covering and Packing 3. Connectivity 4. Planar Graphs 5. Colouring 6. Flows 7. Extremal Graph Theory 8. Infinite Graphs 9. Ramsey Theory for Graphs 10. Hamilton Cycles 11. Random Graphs 12. Graph Minors
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1. The Basics 2. Matching, Covering and Packing 3. Connectivity 4. Planar Graphs 5. Colouring 6. Flows 7. Extremal Graph Theory 8. Infinite Graphs 9. Ramsey Theory for Graphs 10. Hamilton Cycles 11. Random Graphs 12. Minors, Trees and WQO
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Game theory 1 Classic models of oligopoly Game theory 2 Dynamic models of oligopoly Product differentiation Identifying and measuring market power Ch. 8 Classic models of oligopoly Ch. 9 game theory 2 Ch. 10 dynamic models of oligopoly • Reaching an agreement • Stronger, swifter, more certain • Dynamic games • Supergames • Factors that influence the sustainability of collusion • Facilitating practices • Antitrust and collusion • Summary Ch. 11 product differentiation • What is product differentiation? • Monopolistic competition • Bias in product selection • Address models • Strategic behavior • Oligopoly equilibrium in vertically differentiated markets • Summary Ch. 12 Identifying and measuring market power • Structure, conduct, and performance • The new empirical industrial organization • The NEIO and SCP: a summing up • Summary
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1 Linear Algebra Notations and Fundamental Concepts Matrix Multiplication Operational Properties Linear Space Quadratic Form and Positive Definite Matrix Matrix Calculus 2 Probability Theory Probability Space Random Variable and Its Distribution Numerical Characteristics of Random Variables Conditional Expectation Jenson’s Inequality
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The first three chapters cover the standard material on sets, relations, and functions and algorithms. Next come chapters on logic, counting, and probability. We then have three chapters on graph theory: graphs, directed graphs, and binary trees. Finally there are individual chapters on properties of the integers, languages, machines, ordered sets and lattices, and Boolean algebra, and appendices on vectors and matrices, and algebraic systems. The chapter on functions and algorithms includes a discussion of cardinality and countable sets, and complexity. The chapters on graph theory include discussions on planarity, traversability, minimal paths, and Warshall’s and Huffman’s algorithms. We emphasize that the chapters have been written so that the order can be changed without difficulty and without loss of continuity
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§9.1 Valence Bond Theory §9.4 Bond Parameters §9.3 Molecular Orbital Theory §9.2 Valence Shell Electron Pair Repulsion (VSEPR) Theory
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