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像 (数学)

数学中,(image)又称像点镜像[1],是一个跟函数相关的用语;简言之,就是当元素映射至元素,则的“像”,而的“原像”(inverse image)[2]

像的定义

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是一由定义域映射至到达域的函数。

是定义域元素,则之下的“像”为

是定义域子集,则之下的“像”为 ,记做。(参见集合建构式符号)

又称为函数值域

原像

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是一由定义域映射至到达域的函数。

是到达域的子集,之下的“原像”便是

参考

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  1. ^ 存档副本. [2022-10-19]. (原始内容存档于2022-10-22). 
  2. ^ 胡冠章, 王殿军. 应用近世代数(清华大学硏究生公共课敎材: 数学系列). 清华大学出版社有限公司. 2006: 12. ISBN 9787302125662. 

参考文献

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像 (数学)
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