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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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Course overview The focus of this course is on financial theory and empirical evidence that are useful for investment decisions. The topics include: Financial theory: This include portfolio theory, CAPM, APT, discount factor model, they are important for decision-making in investments;
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Number Theory I Number theory is the study of the integers. Number theory is right at the core of math ematics; even Ug the Caveman surely had some grasp of the integers- at least the posi tive ones. In fact, the integers are so elementary that one might ask, What's to study?
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Brannon-Peppas theory of swelling in ionic hydrogels Original theory for elastic networks developed by Flory and Mehrer, refined for treatment of ionic hydrogels by Brannon-Peppas and Peppas Other theoretical treatments Derivation of ionic hydrogel swelling Model structure of the system
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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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§5.1 Theory of hybrid orbital and atomic orbital hybridization §5.2 Valence Shell Electron-Pair Repulsion (VSEPR) Model §5.3 Delocalized molecular orbital theory §5.4 Hückel molecular orbital theory and conjugated system §5 The symmetry of molecular orbital and symmetry rules for molecular reactions
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Monetary Theory is the theory which is about the economic influences of money
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§5.1 Theory of hybrid orbital and atomic orbital hybridization §5.2 Valence Shell Electron-Pair Repulsion (VSEPR) Model §5.3 Hückel molecular orbital theory and conjugated system §5.4 Delocalized molecular orbital theory §5 The symmetry of molecular orbital and symmetry rules for molecular reactions
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Theories and Experiments The goal of physics is to develop theories based on experiments A theory is a \guess,\expressed mathematically, about how system works The theory makes predictions about how a system should work Experiments check the theories' predictions Every theory is a work in progress
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List of contents From Knowledge to Strategy 2. Classical Model of Decision-Making 3. Information Theory of Decision-Making 4. Unified Theory
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