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關于某些函數的性質討論
關于某些函數的性質討論
摘要
函數是數學中最重要的概念之1，它既是數學研究的對象，又是解決數學問題的基本思想方法.函數對數學發展的作用是不可估量的，它不僅使人類數學思維發生了質的飛躍，而且導致了數學科學的蓬勃發展，在數學的各個分支中都起著重要作用.在初、高等數學中，在物理、化學和其它自然學科中，在經濟領域和社會科學中，均有著廣泛的應用，起著基礎的作用.本文著重從幾個方面如映射、函數的復合、反函數等深刻闡述了函數的性質，且重點討論了映射、幾種特殊函數的性質和應用.
關鍵詞：函數；映射；反函數；特征函數；極限
On the discussions of some functions characters
Abstract
Function is one of the most important concepts in mathematics. It is not only the object of mathematical research, but also a basal way of thought to resolve mathematical questions, which plays a significant role in all the branches of mathematics. In the higher mathematics, in physics, chemistry and other natural disciplines, in the economical domain and the social sciences, it has the widespread application, and is playing the foundation role. This paper is committed to expatiate on the attribute of the functions profoundly from several aspects such as the mapping, inverse functions, compound function and etc and discuss the attributes of mapping and several special functions energetically.
Key words: function, mapping, inverse, function, Eigen function, extremity
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