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中文摘要：
目的系统探讨函数概念诞生的原因及时期。方法历史分析和文献考证。结果通过将函数概念的形成过程与“数学化”思想的发展过程相比较，指出虽然在两个量之间的依赖关系已有4000年的历史，但依赖关系的思想不等于函数思想，其概念的产生是随着函数思想的出现而出现的。结论只有变量数学出现以后才有可能产生函数思想，故函数概念的产生是从变量数学出现以后开始的。
英文摘要：
Aim To explore the reasons and period of the birth of the Function＇s concept systematically. Methods Historic analysis and literature review. Results A comparison was made between the formation of the Function＇s Concept and the development of ＂ mathematization＂, showing that the Dependent Relationship of two variables has existed for 4 000 years. However, this Thought of Dependent Relationship is not equal to the Thought of Function, the birth of the Function＇s Concept is in company with the appearance of the Thought of Function. Conclusion The Thought of the Function could only come into being after the emergence of Variable Mathematics, thus, the Function＇s Concept was generated after the beginning of Variable Mathematics.
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