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Is there a math symbol that stands for becomes?

 
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Jun17-12, 08:58 PM   #1
 

Is there a math symbol that stands for becomes?


Just curious because it would really work into a few problems im doing
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Jun17-12, 09:22 PM   #2
 
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What is the context?
Barred arrow notation shows the result of applying a function to the object on the left of the arrow. An example would be:
[tex]x \mapsto x^2 + 4[/tex]
which is read as "x is mapped to x squared plus 4."
Jun17-12, 09:29 PM   #3
 
How about [itex] \Longrightarrow \text { or } \Rightarrow [/itex] ?
Jun17-12, 10:33 PM   #4
 
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Is there a math symbol that stands for becomes?


Quote by TrevorRyan View Post
Just curious because it would really work into a few problems im doing
Got any concrete example??
Jun18-12, 12:24 AM   #5
 
Quote by micromass View Post
Got any concrete example??
Yeah, show us what you want to use it for.
I put in another vote for when [itex]f:X\to Y[/itex], then for any [itex]x\in X[/itex],

[itex]x\mapsto y[/itex], where [itex]y\in Y[/itex].

This is for elements. Bob S's version may be better for statements. But if you show us an example, we can be sure that we mean what we mean.
Jun19-12, 07:05 PM   #6
 
I would go with the side arrow, although depending on what you're using it for, it may be an abuse of notation. I usually go with the style of arrow Bob S suggested, although I think it means "implies" if you're strictly adhering to convention.
Jun19-12, 08:21 PM   #7
 
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The tilde symbol ~ can mean "becomes asymptotically equal to", e.g. [itex]f(x)[/itex] ~ [itex]g(x) \Rightarrow \lim_{x \rightarrow \infty} \frac{f(x)}{g(x)} = 1[/itex].
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