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關(guān)于某些函數(shù)的性質(zhì)討論
關(guān)于某些函數(shù)的性質(zhì)討論
摘要
函數(shù)是數(shù)學(xué)中最重要的概念之1，它既是數(shù)學(xué)研究的對(duì)象，又是解決數(shù)學(xué)問題的基本思想方法.函數(shù)對(duì)數(shù)學(xué)發(fā)展的作用是不可估量的，它不僅使人類數(shù)學(xué)思維發(fā)生了質(zhì)的飛躍，而且導(dǎo)致了數(shù)學(xué)科學(xué)的蓬勃發(fā)展，在數(shù)學(xué)的各個(gè)分支中都起著重要作用.在初、高等數(shù)學(xué)中，在物理、化學(xué)和其它自然學(xué)科中，在經(jīng)濟(jì)領(lǐng)域和社會(huì)科學(xué)中，均有著廣泛的應(yīng)用，起著基礎(chǔ)的作用.本文著重從幾個(gè)方面如映射、函數(shù)的復(fù)合、反函數(shù)等深刻闡述了函數(shù)的性質(zhì)，且重點(diǎn)討論了映射、幾種特殊函數(shù)的性質(zhì)和應(yīng)用.
關(guān)鍵詞：函數(shù)；映射；反函數(shù)；特征函數(shù)；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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