Question

（十万火急求助）英语高手进！论文摘要翻译，先谢过！十万火急~（在线翻译勿扰）

本人的毕业论文就要交稿啦~~现在就差论文的摘要还没有翻译为英文，需要大家的帮助！！非常之感谢！！以下是论文的摘要~~

摘 要
组合数学可以一般地描述为：组合数学是研究离散结构的存在、计数、分析和优化等问题的一门学科（见文献[3]）。计数是组合数学中主要的内容之一，而母函数是计数的重要工具，因此，母函数在组合数学中有着重要的地位，是解决组合问题的强有力的工具。本文主要介绍了母函数与指数型母函数在组合计数、排列计数、递推关系、组合恒等式和整数拆分中的一些应用。

关键词：母函数，指数型母函数，组合计数，排列计数，排列，组合

Answer 1

Combinatorial mathematics can be generally described as: combination of mathematical research is the existence of discrete structures, counting, analysis and optimization problems, such as the one subject (see the literature [3]). Counting is the combination of mathematics in one of the main content, and generating function is an important tool for counting, therefore, the mother of mathematical functions in the portfolio has an important position is to solve the problem of combination of powerful tools. This paper describes the generating function and index-generating function in combination count, with counts, recursive relationship, combined identity and integral split in some applications.

Key words: generating function, the index-generating function, the combination of counting, with counting, sorting, combined