2.0 引言(Introduction) 2.1 逻辑代数(Boolean Algebra) 2.2 逻辑函数的卡诺图化简 2.3 硬件描述语言(HDL)基础

 Boolean Operations and Expressions  Law and Rules of Boolean Algebra  DeMorgan’s Theorems  Boolean Analysis of Logic Circuits  Simplification Using Boolean Algebra  Standard Forms of Boolean Expressions  Boolean Expressions and Truth Tables  The Karnaugh Map  Karnaugh Map SOP Minimization

Structure of Relational Databases Fundamental Relational-Algebra-Operations Additional Relational-Algebra-Operations Extended Relational-Algebra-Operations Null Values Modification of the Database

Basie cCoucept Boolean algebra (Logic algebra) is closure mathematical system that defines a series of logic operation (and, or, not) performed on set k of variables (a, b,...) which can only have two values of 0 or 1

1. Concepts of Number System and their conversion 2. Boolean Algebra 3. Moore’s Law 4. 科技英语中数学公式的读法

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

3.1 Boolean Algebra 3.2 Graph Theory

§7.1 引言 §7.2 粒子物理研究中计算机代数的应用 §7.3 Mathematica 语言编程

Chapter 3: Relational Model Structure of Relational Databases Relational Algebra Extended Relational-Algebra-Operations Modification of the Database Views Tuple Relational Calculus Domain Relational Calculus Database System Concepts

逻辑代数( Logic Algebra)是由英国数 学家乔治布尔( George Boole)于1849年首 先提出的,因此也称为布尔代数( Boolean Algebra)。逻辑代数研究逻辑变量间的相互 关系,是分析和设计逻辑电路不可缺少的数学 工具。所谓逻辑变量,是指只有两种取值的变 量:真或假、高或低、1或0