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June 9th, 2016, 05:37 AM  #1 
Newbie Joined: Jun 2016 From: USA Posts: 2 Thanks: 0  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. 
June 9th, 2016, 05:40 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,634 Thanks: 2620 Math Focus: Mainly analysis and algebra 
$1 \over 1 + x$?

June 9th, 2016, 05:46 AM  #3 
Newbie Joined: Jun 2016 From: USA Posts: 2 Thanks: 0  
June 9th, 2016, 06:06 AM  #4 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,634 Thanks: 2620 Math Focus: Mainly analysis and algebra 
$$y={12x \over 1+2x}$$

June 9th, 2016, 11:18 AM  #5 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,634 Thanks: 2620 Math Focus: Mainly analysis and algebra 
$$x1 \over x+1$$ may suit you better.

June 23rd, 2016, 07:45 AM  #6 
Newbie Joined: Jun 2016 From: Italy Posts: 2 Thanks: 0 
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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equation, numbers, reduce 
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