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Change log entry 45063
Processed by: richwarm (2012-12-20 02:57:54 UTC)
Comment: << review queue entry 43963 - submitted by 'alanwatson' >>
'one-to-one function' is not correct. The original 'one-to-one map between sets in math.' was ok, if not very precise, but your simpler version is misleading. For example a function can map a triplet so long as the set of all possible x,y,z and the set of values that they are mapped onto are the same.

eg y=2x is an injection because y can range from -infinity to + infinity and so can x, but y=x squared (x real) s not because x can be negative but y is not,

If you want to expand the English rather than just give the translation then you could put something like

/injective map (ie a function in which the domain equals the image, math.)/

=============

Editor: In processing this earlier, I wrote:
A "surjection" is the same thing as a "one-to-one function".

Sorry, I meant:
An "injection" is the same thing as a "one-to-one function".

injection, surjection ... such confusable terms -- damn Bourbaki!
:-)
Diff:
# - 單射 单射 [dan1 she4] /one-to-one function/injective map (math.)/
# + 單射 单射 [dan1 she4] /injective map (ie a function in which the domain equals the image math.)/
By MDBG 2025
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