Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2017-11-06 14:46:00

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 891

International Notations for Number Sets

Okay, so I know that the international notations for the set of natural numbers, whole numbers, rational numbers, real numbers, and complex numbers are N, Z, Q, R, and C, respectively. However, what are the international notations for the set of integers (natural numbers and zero), even numbers, odd, numbers, prime numbers, composite numbers, and cube numbers? Thanks in advance.

Offline

#2 2017-11-06 20:03:07

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,128
Website

Re: International Notations for Number Sets

Some authors use
to refer to both {1, 2, 3, ...} and {0, 1, 2, 3, ...}. However, in order to make the distinction clear, they may write something like
or
, to indicate whether or not 0 is included.

Even numbers are sometimes written as
, and the odd numbers as
.

Notation for the set of prime numbers is less common, and I've seen many different ones. Sometimes people use
or even
.

Likewise, I've never seen any kind of notation used for composite numbers, so just pick your favourite set notation for prime numbers and take complements accordingly -- e.g. if you use
for prime numbers, then the set of composite numbers could be written as
.

I haven't seen any similar notation for the set of cube numbers (nor square numbers, for that matter).

Offline

#3 2017-11-06 21:00:00

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 891

Re: International Notations for Number Sets

Are there any international notations which state them as only 1 letter each?

Offline

#4 2017-11-06 21:30:26

zetafunc
Moderator
Registered: 2014-05-21
Posts: 2,128
Website

Re: International Notations for Number Sets

Apart from the ones listed, I'm not aware of any others, no. If there are, I suspect that they are fairly non-standard.

Offline

#5 2017-11-06 21:46:03

Monox D. I-Fly
Member
Registered: 2015-12-02
Posts: 891

Re: International Notations for Number Sets

Okay, thank you.

Offline

Board footer

Powered by FluxBB