Question

求英语高手翻译论文摘要，机器和软件的不要，重点是专业名词要准确

题目：浅谈函数思想在数列中的应用
摘要：函数思想是中学阶段最重要的解题方法之一，它是用函数的概念和性质去分析问题、转化问题、解决问题。数列作为一种特殊的函数，它与函数的关系更是密不可分，因此在解决一些数列问题中应用函数思想，可以使数学关系变得浅显简单，最终得以解决。
关键词：函数 数列 函数思想 模型 构造 图象 通项公式
翻译的好的话 多加财富

Answer 1

人工琢磨翻译：
Subject: A Brief Analysis about the Idea of Functions Applied to Series
Abstract: The idea of functions refers to the functional concept and properties are used to analyse, transform and solve the math problems,which is one of the most important solution methods in middle school mathematics. Series ,as a specefic function, is so closely linked to functions that the idea of functions is applied to solving some series probloms .Thus, the mathematic relations appear simple and understandable and they are able to be worked out finally.
Key words:functions,series,the idea of functions ,model,structure,diagram, general formulas

说明一下：
1. 按照你的表述，函数思想的定义就是“用函数的概念和性质去分析问题、转化问题、解决问题。”因此我的翻译先给“函数思想”下一个定义，突显该思想作为主题的重要性：The idea of functions refers to the functional concept and properties are used to analyse, transform and solve the math problems,which is one of the most important solution methods in middle school mathematics.
2. 函数、数列、通行公式指数学概念，前不需the。
3. which引导非限制性定语从句，which指the functional concept and properties are used to analyse, transform and solve the math problems。
4. 题目大小写问题已经解决。

追问

辛苦辛苦，谢了，不过老师指出了几个语法错误。你在帮我翻一下这个吧。
【本文从论述函数思想概念入手，以函数的角度认识数列。通过具体的例题，利用函数的定义、性质、图象以及构造函数等的函数方法解决一些数列问题，体现了函数思想在数列问题中应用的广泛性。】
会多给分的

追答

This paper starts with the discussion of the concept and idea of functions to state , analyse and summarize series from the viewpoint of functions.Providing some concrete examples, the writer explains and solves some series probloms in some methods of functions,including the function definition , the function properties ,the function graphs , constructors and so on,which presents the popularization of mathematical application as the idea of functions is applied to solving series probloms .

Answer 2

Subject: brief discussion of the application of the function idea in series
Abstract:the function idea is one of the most important solution methods during the course of middle school,it uses the function concept and character to analyse,to transform,and to solve problems.As a specefic function,the series attaches much to the function,so if the function idea can be used in solving some series problems,the mathematical relation can become plain and simple,and will be solved finally.
Key words:function,series,the function idea,model,structure,graphic,general term formula