Math Is Fun Forum

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

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.

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zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

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).

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: International Notations for Number Sets

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

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.

zetafunc

Moderator

Registered: 2014-05-21

Posts: 2,440

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.

Monox D. I-Fly

Member

From: Indonesia

Registered: 2015-12-02

Posts: 2,000

Re: International Notations for Number Sets

Okay, thank you.

---

Actually I never watch Star Wars and not interested in it anyway, but I choose a Yoda card as my avatar in honor of our great friend bobbym who has passed away.
May his adventurous soul rest in peace at heaven.