From the concept of set,we summarize the methods and skills of the enumeration of discrete objects in terms of multiset,totally ordered set,and partial ordered set,a fundamental principle of a count,etc.Then the application of generating function,enumeration of lattice paths,and Polya's enumeration theorem in discrete object counting is illustrated by examples.Finally,the power of Maple,a computer-aided software,in solving discrete object counting problems quickly and efficiently is introduced through a brief program of solving isomers in chemistry.
关键词
离散对象/计数/生成函数/格路计数/Polya计数定理
Key words
discrete object/enumeration/generating function/enumeration of lattice paths/Polya's enumeration theorem
维普
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