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June 9th, 2016, 05:37 AM   #1
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Equation to reduce numbers to between -1 and 1.

I'm having some trouble trying to come up with a way to do this. I have a range of numbers derived from a statistical analysis about a return on investment that falls between 0 and infinity.

I am trying to reduce these numbers so they fall between either -1 and 1 or 0 and 1. I managed to do it with the numbers that are 1 and over, as I can simply take 1/(number), but I can't find a way to do it uniformly as when I do 1/(number < 1) it comes out as above 1.

Any help that you could provide would be greatly appreciated! Thank you.
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June 9th, 2016, 05:40 AM   #2
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$1 \over 1 + x$?
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June 9th, 2016, 05:46 AM   #3
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Quote:
Originally Posted by v8archie View Post
$1 \over 1 + x$?
Oh wow, I feel dumb for not even thinking of that. That works! Just out of curiosity, is there any way to make it so that all x values that are <1 come out negative (putting the numbers between -1 and 1)?

Thank you!
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June 9th, 2016, 06:06 AM   #4
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$$y={1-2x \over 1+2x}$$
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June 9th, 2016, 11:18 AM   #5
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$$x-1 \over x+1$$ may suit you better.
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June 23rd, 2016, 07:45 AM   #6
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I would like you notice that what you are asking is not a real question because if you don't ask any particular property to the function then you can just take f(x)=0 and you are done. And you can find whatever function you want with just those properties if you don't ask for some kind of regularity.
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