The Fundamental problem The Fundamental problem Bones get less dense as we age Bones get less dense as we age Old people with low density bones Old people with low density bones fracture easily fracture easily Space -flight rapidly causes bones to flight rapidly causes bones to get less dense get less dense

Method of Green’s functions General concepts of Green’s function Fundamental solution Green’s function of the evolutionproblems Fundamental solutions of the evolutionproblems

I Consider the graph shown in Fig. 15-15. Denote the tree made up of b 6, bs, and b, by t (a)Find all the fundamental loops of this graph corresponding to T (b) Find all the fundamental cutsets of this graph corresponding to t (c) Write the incidence matrix of this graph choose n 4 as the datum

Chapter 2 Aerodynamics: Some Fundamental Principles and Equations There is so great a difference between a fluid and a collection of solid particles that the laws of pressure and of equilibrium of fluids are very different from the laws of the pressure and equilibrium of solids Jean Le Rond d' Alembert, 1768

Task Team of FUNdaMENTAL aCCOUNtIng School of Business. Sun Yat-sen University Lesson note Lesson 12 internal controls and business ethics Learning objectives 1. Explain the fundamental principles of internal control

1 Preliminary 11 Introduction 12 Cardinality 13 Topology of the Euclidean space 14 Metric space and Baire Category theorem 15 Continuous functions and Distance in metric space 151 Hausdorff distance and Gromov-Hausdorff distance 152 Invariant of domain 2 Lebesgue measure 21 Exterior measure 22 Measure 23 Borel sets and Measurable sets 24 Linear transformation of measurable sets 25 Sets of positive measure 3 Measurable functions 31 Measurable functions 32 Simple functions 33 Littlewood’s Three principles 4 Lebesgue’s integration theory 41 Integration 42 Interchanging limits with integrals 43 Lebesgue vs Riemann 44 Fubini’s Theorem 5 Differentiation 51 Monotone functions 52 Fundamental theorem of Calculus I 521 A detour: Bounded variation functions 53 Fundamental theorem of Calculus II 54 Lebesgue Differentiation Theorem 6 Function spaces 61 L P spaces 611 Normed vector space 612 A detour: Convexity and Jensen’s inequality 613 Completeness: Banach space 614 Separability 62 Hilbert space:

2.1 Review of Vector Relations 2.2 Models of the Fluid: Control Volumes and Fluid Elements 2.3 Continuity Equation 2.4 Momentum Equation 2.5 Substantial Derivative 2.6 Fundamental equations in terms of the substantial derivative 2.7 Pathlines, Streamlines, and Streaklines of a Flow 2.8 Circulation 2.9 Stream Function 2.10 Velocity Potential 2.11 Relationship Between the Stream Function and Velocity Potential 2.12 Summary

Describing the fundamental physical properties of materials used in electronics, the thorough coverage of this book will facilitate an understanding of the technological processes used in the fabrication of electronic and photonic devices. The book opens with an introduction to the basic applied physics of simple electronic states and energy levels. Silicon and copper, the building blocks for many electronic devices, are used as examples. Next, more advanced theories are developed to better account for the electronic and optical behavior of ordered materials, such as diamond, and disordered materials, such as amorphous silicon. Finally, the principal quasi-particles (phonons, polarons, excitons, plasmons, and polaritons) that are fundamental to explaining phenomena such as component aging (phonons) and optical performance in terms of yield (excitons) or communication speed (polarons) are discussed

一、塔板理论 plate theory 二、速率理论 rate theory 三、分离度 resolution fundamental of chromatograph analysis

一、 色谱法的特点、分类和作用 characteristic ,classification actuation of chromatograph 二、气相色谱分离过程 separation process of gas chromatograph fundamental of