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An integer is natural iff it is supérieur or equal to 0.

added by MUIRIEL, 2010-08-26 23:47

#482029

linked by MUIRIEL, 2010-08-26 23:47

#482055

linked by MUIRIEL, 2010-08-26 23:48

An integer is natural iff it is superior or equal to 0.

edited by MUIRIEL, 2010-08-26 23:55

#482121

linked by FeuDRenais, 2010-08-27 00:23

An integer is natural iff it is greater or equal to 0.

edited by MUIRIEL, 2010-08-27 01:32

#629260

linked by Samer, 2010-11-20 17:18

#1911268

linked by fekundulo, 2012-10-10 19:51

#2106382

linked by Juankarlos, 2012-12-27 09:45

#1096526

linked by odexed, 2015-11-18 10:33

Sentence #482049

eng
An integer is natural iff it is greater or equal to 0.

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ara
يكون العدد الصحيح طبيعيا إذا وفقط إذا كان أكبر أو يساوي 0.
deu
Eine ganze Zahl ist genau dann natürlich, wenn sie größer oder gleich 0 ist.
eng
An integer is natural iff it is greater than or equal to 0.
epo
Entjero estas natura, se kaj nur se ĝi estas egala aŭ pli granda ol 0.
fra
Un nombre entier est naturel ssi il est supérieur ou égal à 0.
heb
מספר שלם הוא טבעי אם ורק אם הוא גדול או שווה לאפס.
rus
Целое число является натуральным тогда и только тогда, когда оно больше или равно нулю.
eng
An integer is natural if and only if it is greater or equal to 0.
fin
Kokonaisluku on luonnollinen vain jos se on suurempi tai yhtä kuin nolla.
spa
Un entero es natural si, y solo si, es mayor o igual a 0.

Comments

Demetrius 2010-08-27 00:01 link permalink

if

MUIRIEL 2010-08-27 00:05 link permalink

no, iff.
its an abbreviation for "if and only if"
http://en.wikipedia.org/wiki/If_and_only_if

Demetrius 2010-08-27 00:15 link permalink

I see. Thank you.

MUIRIEL 2010-08-27 00:16 link permalink

you're welcome. I admit I was waiting for that comment ;).

MUIRIEL 2010-08-27 00:25 link permalink

haha great, did you tag it "useful info" =D ?

FeuDRenais 2010-08-27 00:28 link permalink

I did. But who on earth tagged it as controversial?

FeuDRenais 2010-08-27 00:29 link permalink

(someone who has found a way to enter the imaginary domain, I suppose)

MUIRIEL 2010-08-27 00:31 link permalink

No, I did, because the natural numbers are often defined to NOT include 0 :P.

FeuDRenais 2010-08-27 00:33 link permalink

And so we enter the math department...

Swift 2010-08-27 01:29 link permalink

Doesn't one usually speak of "greater" rather than "superior" in mathematics? I don't think I've ever seen it phrased like this.

MUIRIEL 2010-08-27 01:31 link permalink

you're probably right, thx.

FeuDRenais 2010-08-27 01:31 link permalink

That's why I added the second translation, actually.

I was going to say that this was probably something from the French, but "superior to" is still very valid, IMO, even in English. More erudite books might use it. But yes, the more common natural thing would be "greater than".

deniko 2012-05-16 10:19 link permalink

I'd like to go back to this "iff"

Is it really possible to use this "word" in a sentence like this one?

I believe it's just a short form of "if and only if" in logical formulas, for example you certainly might write: "For any p, q, and r: (p & q) & r iff p & (q & r)", but it's not a real sentence.

Could you really "iff" in a normal sentence, like in the definition of a natural integer? Maybe you still have to write "An integer is natural if and only if it is greater or equal to 0"?

MUIRIEL 2012-05-17 15:47 link permalink

I think it is used in what you call "normal" sentences.
For example in the Wikipedia article, there are examples for it:
http://en.wikipedia.org/wiki/If_and_only_if