| 分段函数的分类及分离型分段函数与初等函数之间的关系 |
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| 引用本文： | 张永明,杜明芳,张梅荣. 分段函数的分类及分离型分段函数与初等函数之间的关系[J]. 大学数学, 2002, 18(4): 92-96 |
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| 作者姓名： | 张永明 杜明芳 张梅荣 |
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| 作者单位： | 北京印刷学院,数学教研室,北京,102600 |
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| 基金项目： | 北京印刷学院青年科研基金 |
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| 摘 要： | 将分段函数划分为连结型分段函数 ,分离型分段函数和它们的组合形式三种类型 ,得到了分离型分段函数是初等函数的充分必要条件 ,完整地解决了分离型分段函数与初等函数之间的关系 ,并且给出了初等函数在其任一截取集上的限制函数 (截取函数 )仍然是初等函数的结果
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| 关 键 词： | 连结型分段函数 分离型分段函数 初等函数 关系(充要条件) 截取集 截取函数 |
| 文章编号： | 1007-4120(2002)04-0092-05 |
| 修稿时间： | 2001-06-29 |
Classification of Piecewise Defined Functions and the Relationship between a Separate Piecewise Defined Function and an Elementary Function |
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| ZHANG Yong-ming,DU Ming-fang,ZHANG Mei-rong. Classification of Piecewise Defined Functions and the Relationship between a Separate Piecewise Defined Function and an Elementary Function[J]. College Mathematics, 2002, 18(4): 92-96 |
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| Authors: | ZHANG Yong-ming DU Ming-fang ZHANG Mei-rong |
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| Abstract: | The piecewise defined functions are classified as connected piecewise defined functions, separate piecewise defined functions and their composition. And the relationship, sufficient and necessary condition, between a separate piecewise defined function and an elementary function is presented completely. And the conclusion, the cutting function of an elementary function is still an elementary function, is given. |
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| Keywords: | connected piecewise defined function separate piecewise defined function elementary function relationship (sufficient and necessary condition) cutting set cutted function |
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