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I'm searching for a unified name to convey for the concept that a number will always be between zero and one.

Some info for context:

in probability we've got a number between 0 and 1. Percentages appear to be similar in that we've got a number between zero and one, but it is multiplied by one hundred.

The nearest names that I've got so far are "factor" or "coefficient", but both of these names could be larger than 1, or smaller than zero.

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    Since you mention rational numbers, perhaps [odds](http://en.wikipedia.org/wiki/Odds) is appropriate.2011-09-05

2 Answers 2

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The rationals in the unit interval are known as positive proper fractions. For a real number $r > 0$ its fractional part is $\:\{r\}\: :=\: r - \lfloor r\rfloor\:.\ $ (I moved this comment to an answer per requests)

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Since the mantissa of a logarithm is a value between 0 and 1 (I'm just barely old enough to have used logarithm tables instead of calculators in high school) I thought maybe googling "mantissa" might suggest something (and if not, I was still going to suggest something like "a mantissa number" for a number between 0 and 1), and when I googled, I immediately found the following at Wolfram's Mathworld site:

http://mathworld.wolfram.com/Mantissa.html

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    @sgtz: I'm inclined to agree that "mantissa" is too tied in with scientific notation and logarithms to be generally acceptable. The term "probability number" also occurred to me (inspired by probability measure vs. a general measure), but this too seems a bit strange.2011-09-06