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 ……

1 历史进程 2 预备知识 采用线性激活函数的神经元 采用阈值激活函数的神经元 采用 S 形激活函数的神经元 3 异或问题 4 多层感知机到底在做什么？ 5 Tilling（耕种，耕作）算法 6 可微激活函数函的多层感知机学习方法 误差 e 的表示 误差的反向传播 反向传播算法 计算例子

1 Introduction 2 Load Flow Analysis 3 Economic Operation of Power Systems 4 Optimal Load Flow 5 Unit Commitment 6 Load Frequency Control 7 Control of Interconnected Systems 8 Voltage and Reactive Power Control 9 Introduction to Advanced Topics

阿尔茨海默病 (Alzheimer’s Disease，AD)：以潜隐性起病、痴呆缓慢进行性加重为特征，以神经元变性、丢失引起的脑萎缩，老年斑 (SP) 和神经原纤维缠结 (neurofibrillar tangles，NFT) 为主要病理改变，主要集中在顶叶、颞叶、额叶联合皮层，如大脑皮层、海马以及基底前脑等。 变性疾病 阿尔茨海默病 路易体痴呆 Pick病 额颞叶痴呆等 非变性疾病 血管性痴呆 感染性痴呆 中毒性脑病 脑积水等

 5.1 密码算法在网络各层中的部署  5.2 公钥密码基础设施  5.3 IPSec协议: 网络层的安全协议  5.4 SSL/TLS协议: 传输层的安全协议  5.5 PGP and S/MIME: 电子邮件安全协议  5.6 Kerberos: 认证协议  5.7 SSH: 远程登录安全协议

§5.8 S域分析、极点与零点 §5.8.1 由系统函数的极零点分布决定时域特性 §5.8.2 自由响应与强迫响应 §5.8.3 暂态响应与稳态响应 §5.8.4 由系统函数决定系统频率特性 §5.8.5 系统的稳定性

Session 1 The importance of infant and young child feeding and recommended practices Session 2 The physiological basis of breastfeeding Session 3 Complementary feeding Session 4 Management and support of infant feeding in maternity facilities Session 5 Continuing support for infant and young child feeding Session 6 Appropriate feeding in exceptionally difficult circumstances Session 7 Management of breast conditions and other breastfeeding difficulties Session 8 Mother’s health Session 9 Policy, health system and community actions

本章重点阐述梯度、散度、旋度三个重要概念及其在不同坐标系中的运算公式，它们三者之间的关系。其中包括两个重要定理：即Gauss theorem 和 Stokes theorem，以及二阶微分运算和算符运算的重要公式。 §0-1 标量场的梯度， 算符 Gradient of Scalar Field, Operator §0-2 矢量场的散度 高斯定理 Divergence of Vector Field, Gauss’s Theorem §0-3 矢量场的旋度斯托克斯定理 Rotation of Vector Field, Stoke’s Theorem §0-4 正交曲线坐标系中 运算的表达式 Expression of Operation on Orthogonal Curvilinear Coordinates Frame §0-5 二阶微分算符 格林定理 Second-order Difference Operator, Green’s Theorem §0-6 张量（并矢） 张量运算 Tensor (dyad)

1 What Is Density Functional Theory? 2 DFT Calculations for Simple Solids 3 Nuts and Bolts of DFT Calculations 4 DFT Calculations for Surfaces of Solids 5 DFT Calculations of Vibrational Frequencies 6 Calculating Rates of Chemical Processes Using Transition State Theory 7 Equilibrium Phase Diagrams from Ab Initio Thermodynamics 8 Electronic Structure and Magnetic Properties 9 Ab Initio Molecular Dynamics 10 Accuracy and Methods beyond “Standard” Calculations

The simultaneous oxidation and sulfidation of Fe 25Cr and Fe-17Cr-l.5Si-0.5Al alloys was studied at 1023K and 1223K in H2-H2O-H2S gas mixtures. The kinetic boundary which indicates the transition from oxide to sulfide has heen found in these two alloys. The critical oxygen partial pressures of Fel7Crl.5SiO.5Al alloys were systematically lower than those of Fe-25Cr alloy. The reaction kinetics were measured by the stainless steel spring balance, and the reaction products were characterized by X-ray diffraction and scanning electron microscopy. The reaction rate usually decreased with the increase of the oxygen partial pressure at the constant sulfur partial pressure. The exista-nce of silicon plays an important role to suppress the sulfidation of Fel7Cr alloy