[Trac] [OpenMath] #43: CD fns1

[OpenMath]

#43: CD fns1
----------------------------+-----------------------------------------------
     Reporter:  jauecker    |          Owner:  kohlhase  
         Type:  proposal    |         Status:  new       
     Priority:  major       |      Milestone:  CD3 Draft1
    Component:  CD3 Format  |        Version:            
   Resolution:              |       Keywords:            
Include_gantt:  0           |   Dependencies:            
   Due_assign:  YYYY/MM/DD  |      Due_close:  YYYY/MM/DD
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Old description:

> '''Chris:'''
> I use 'range' for the image under the function of of the function's
> domain (IOW, the set of values taken by the function); a synonym for
> 'image'.
>
> I use 'codomain' for the (not a) set containing this 'range' that is
> defined as the set that appears 'on the right-hand side of the arrow'.
> Note that then: different codomain implies different function even if
> they are otherwise identical.
>
> ----------------
>
> It says 'the identity function': does this imply uniqueness, the same
> function for any set?
>
> ----------------
>
> Should we use 'left' and 'right' inverses in K-12 descriptions?
>
> And what is 'right_compose' ???
>
> ----------------
>
> I have never thought of 'lambda' as anything to do with maths, which
> managed for 500 years of specifying functions without it.
> ----------------

New description:

 '''Chris:'''
 I use 'range' for the image under the function of of the function's
 domain (IOW, the set of values taken by the function); a synonym for
 'image'.

 I use 'codomain' for the (not a) set containing this 'range' that is
 defined as the set that appears 'on the right-hand side of the arrow'.
 Note that then: different codomain implies different function even if
 they are otherwise identical.

 ----------------

 It says 'the identity function': does this imply uniqueness, the same
 function for any set?

 ----------------

 Should we use 'left' and 'right' inverses in K-12 descriptions?

 And what is 'right_compose' ???

 ----------------

 I have never thought of 'lambda' as anything to do with maths, which
 managed for 500 years of specifying functions without it.


 '''Michael:'''


 >I use 'range' for the image under the function of of the function's
 >domain (IOW, the set of values taken by the function); a synonym >for
 'image'.
 >
 >I use 'codomain' for the (not a) set containing this 'range' that >is
 defined as the set that appears 'on the right-hand side of the >arrow'.
 >Note that then: different codomain implies different function even >if
 they are otherwise identical.

 I do too, but I also know people who say image and range, and it will not
 be easy to change these.

 >Should we use 'left' and 'right' inverses in K-12 descriptions?

 I tend to agree that we should not, but there is an OM/MathML merging
 issue here. We had decided that we would use the OpenMath CDs of the
 "MathML Compatibility Group" as a basis for the  CMathML3 set. And the CD
 fns1 contained left/right_inverse . By the OpenMath CD rules, we cannot
 just drop symbols from a CD or backwards compatibility reasons.
 Therefore we would have to invent a new CD (e.g. fns3). We will have to
 discuss how to do this.

 >And what is 'right_compose' ???

 This could be added from what I understand the rules to be.

-- 
Ticket URL: <https://trac.kwarc.info/OM3/ticket/43#comment:1>
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