| Change log entry 45046 | |
|---|---|
| Processed by: | richwarm (2012-12-19 08:35:38 UTC) |
| Comment: |
<< review queue entry 43950 - submitted by 'alanwatson' >> English wikipedia explains here http://en.wikipedia.org/wiki/Codomain that 'The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image.' We have both Chinese terms for image with one referred to as range http://zh.wikipedia.org/wiki/%E5%80%BC%E5%9F%9F 值域：函數的值域在數學中是函數在定義域中應變數所有值的集合。有時候也稱為像。 Chinese wikipedia here http://zh.wikipedia.org/wiki/%E5%88%B0%E8%BE%BE%E5%9F%9F Explains in text and graphics that codomain = 上域 Wikipedia English here http://en.wikipedia.org/wiki/Bijection,_injection_and_surjection uses the most common terms, bijection, injection and surjection for the things referred to in the Chinese equivalent here http://zh.wikipedia.org/wiki/%E5%8D%95%E5%B0%84%E3%80%81%E5%8F%8C%E5%B0%84%E4%B8%8E%E6%BB%A1%E5%B0%84 as 雙射, 單射 and 滿射 I am therefore proposing a corrections so that our English uses the relevant terms used by English-speaking mathematicians, and adding the one missing term. Editor: As you know, I'm open to further discussion on this or any other submission. But I think that anyone who is reading material containing these sorts of terms should be aware that surjection surjective map surjective function surjective mapping onto mapping etc are all equivalent terms. "the most common terms, bijection, injection and surjection"? I'm not so sure about that. If you look up "surjection", for example, in Wikipedia, you are redirected to the article "Surjective function". I'm also not so sure that "range" can properly be used to refer to the codomain. Some people may use the term "range" loosely or ignorantly, of course, when they mean "codomain". |
| Diff: |
+ 上域 上域 [shang4 yu4] /codomain of a function (math.)/ - 值域 值域 [zhi2 yu4] /range (math.)/ # + 值域 值域 [zhi2 yu4] /image of a function (math.)/range (math.)/ = 像 像 [xiang4] /to resemble/to be like/to look as if/such as/appearance/image/portrait/image under a mapping (math.)/ = 雙射 双射 [shuang1 she4] /bijection/one-to-one map (math.)/ - 滿射 满射 [man3 she4] /surjective map (i.e. map between sets that is onto in math.)/ # + 滿射 满射 [man3 she4] /surjection/surjective map (i.e. map between sets that is onto in math.)/ - 單射 单射 [dan1 she4] /injective map (i.e. one-to-one map between sets in math.)/ # + 單射 单射 [dan1 she4] /injection (math.)/injective map (i.e. one-to-one map between sets in math.)/ # Editor: adding ~ + 值域 值域 [zhi2 yu4] /image (or range) of a function (math.)/ + 滿射 满射 [man3 she4] /surjective map (math.)/ + 單射 单射 [dan1 she4] /injective map (math.)/ |