Replacing Notation with Function Names: Possible?

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Discussion Overview

The discussion centers around the possibility of replacing notation in mathematical expressions with function names, specifically in the context of representing mappings between sets using arrows.

Discussion Character

  • Technical explanation

Main Points Raised

  • One participant inquires about the feasibility of replacing the notation A → B → C with function names φ and ψ, suggesting a desire for clarity in representation.
  • Another participant proposes using the \stackrel{}{} command to achieve this, providing an example of how it would look with the function names included.
  • A third participant reiterates the use of \stackrel{}{} and introduces the \overset{}{ } command as an alternative, expressing uncertainty about the differences between the two methods.
  • A later reply expresses appreciation for the suggestions provided.

Areas of Agreement / Disagreement

Participants generally agree on the methods proposed for replacing notation with function names, but there is some uncertainty regarding the differences between the commands mentioned.

Contextual Notes

There is a lack of clarity regarding the specific advantages or limitations of using \stackrel{}{} versus \overset{}{ } in this context.

dans595
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I have something like


A \rightarrow B \rightarrow C


I'd like to put function name's about the \rightarrow's, to replace the notation


\phi : A \rightarrow B, \psi : B \rightarrow C.


Is this possible? Thanks!
 
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You can use \stackrel{}{}.

A \stackrel{\phi}{\rightarrow} B \stackrel{\psi}{\rightarrow} C

gives

[tex]A \stackrel{\phi}{\rightarrow} B \stackrel{\psi}{\rightarrow} C[/tex]
 
morphism said:
You can use \stackrel{}{}.

A \stackrel{\phi}{\rightarrow} B \stackrel{\psi}{\rightarrow} C

gives

[tex]A \stackrel{\phi}{\rightarrow} B \stackrel{\psi}{\rightarrow} C[/tex]

I think you can also use \overset{}{}

[tex]A \overset{\phi}{\rightarrow} B \overset{\psi}{\rightarrow} C[/tex]

Not sure what the difference is.
 
Excellent. Thank you!
 

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