Is there a name for $[0,1]$?

Question

When writing software, there are often situations where I need a parameter to be a floating point number $x \in [0,1]$. I don't know of a name for that category, but I think there must be one because it's such a useful categories. Perhaps there's a name in probability theory?

(If they don't have a name, I hereby declare them to be "wombat numbers".)

(tongue-in-cheek) Since there's no such thing as "irrational" or "transcendental" in floating-point... maybe "proper fractions"? — J. M. ain't a mathematician, Aug 15 '10 at 00:23
Just a curiosity: In Romanian they are sometimes called subunitary numbers (although it sometimes means in [-1,1]). Apparently in English "subunitary" is reserved for matrices. — rgrig, Aug 15 '10 at 05:51
Not sure I've seen "subunitary" in use, but "unitary" is indeed an adjective frequently used in the theory of matrices. — J. M. ain't a mathematician, Aug 15 '10 at 12:31
I'm running into the same question wrt probability numbers. Since all of the "official" answers seem to be multiword ("property fraction", "unit interval"), I'm going to go ahead and accept your declaration of "wombat" numbers, with my code reading getFloat(), getInt(), getWombat(). — James Beninger, Sep 22 '13 at 02:35

score 20 · Accepted Answer · answered Aug 14 '10 at 23:37

20

Sometimes I've heard it called the "unit interval" as it "probability measures are functions from a boolean algebra to the unit interval"

answered Aug 14 '10 at 23:37

Seamus

4,005

I'd imagine the 'unit interval' refers to the set [0,1], but you wouldn't say that the number 0.3 is a "unit interval number" in the same way that you might say that 2/3 is a "rational number". It's not entirely clear from the question but I think it's asking for a term to describe any number in the set, not to describe the set itself. – bryn Aug 15 '10 at 02:08
4

"Numbers in the unit interval" works. – Michael Lugo Aug 15 '10 at 05:28
3

Thank you very much. Now I don't have to name my function "parseNumberBetweenZeroAndOne". – Aug 15 '10 at 20:43
4

You should still call your function parseWombatNumbers. Semantic function names are for wimps. All my functions are called "foo78" "bar429" and so on – Seamus Aug 16 '10 at 09:26
1

@Seamus To the contrary, naming things is one of the hard problems. Only wimps give up on meaningful names. ;) – jpmc26 Feb 14 '14 at 06:23

goblin GONE · Answer 2 · 2017-04-24T16:04:05.047

0

I guess you could call them fractional numbers. But that might be a bit confusing :)

Another option would be "fuzzy truthvalue" or "fuzzy boolean".

edited Apr 24 '17 at 16:04

answered Apr 24 '17 at 15:44

goblin GONE

67,744

score 0 · Answer 3 · answered Mar 10 '22 at 22:33

It seems you were looking for a name to describe any number in the range [0,1], not the range itself. To say, 'a number in the unit interval' is a bit of a mouthful. Surely there's a better English term for such a common programming requirement? I'll have a go…

Since we're talking about floating point numbers, which the programmer expresses with a finite (and therefor rational) decimal representation, these numbers are a subset of 'decimal fractions'. If the absolute value of the fraction is less than 1 (i.e. the numerator is less than the denominator), this is called a 'proper fraction'. And since we're not interested in negative numbers, we'd have to further clarify these as 'positive' numbers.

So, putting all that together, we could call these numbers positive proper decimal fractions.

Hmm… By word-count, it's a small improvement on 'a number in the unit interval', but it conveniently overlooks the cases of 0 and 1, which are not really 'proper' fractions. Sigh.

Okay, so I'm going to propose the term unidecimal. There, done. Yes, I made it up myself, but hey… these words are all made up by someone at some point!

Is there a name for $[0,1]$?

3 Answers3

Linked