离散

https://zh.wikipedia.org/wiki/离散数学

https://en.wikipedia.org/wiki/Discrete_mathematics

Research in discrete mathematics increased in the latter half of the twentieth century partly due to the development of digital computerswhich operate in discrete steps and store data in discrete bits. Concepts and notations from discrete mathematics are useful in studying and describing objects and problems in branches of computer science, such as computer algorithms, programming languages,cryptography, automated theorem proving, and software development. Conversely, computer implementations are significant in applying ideas from discrete mathematics to real-world problems, such as in operations research.

Although the main objects of study in discrete mathematics are discrete objects, analytic methods from continuous mathematics are often employed as well.

 

由于运算对象是离散的，所以计算机科学的数学基础基本上也是离散的。我们可以说计算机科学的数学语言就是离散数学。人们会使用离散数学里面的槪念和表示方法，来研究和描述计算机科学下所有分支的对象和问题，如电脑运算、编程语言、密码学、自动定理证明和软件开发等。相反地，计算机的应用使离散数学的概念得以应用于日常生活当中（如运筹学）。