How can I use mathematical symbols to indicate if a number is an integer or not?

Thread starter strokebow
Start date Aug 21, 2013
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To indicate that a number A is an integer, the symbol A ∈ ℤ is used, where ℤ represents the set of all integers. Conversely, to denote that A is not an integer, the symbol A ∉ ℤ is appropriate. For specifying that A is a real number that is not an integer, one can use A ∈ ℝ \ ℤ, indicating A belongs to the real numbers but not to the integers. Additionally, to express that A is not a whole number, the notation A ∉ ℤ⁺ can be utilized, where ℤ⁺ denotes the set of positive integers. These mathematical symbols effectively communicate the status of A as either an integer or a non-integer.

Aug 21, 2013

strokebow

Hi,

I want to be able to say the following with mathematical symbols;

1) A is any integer.
2) A is a non-integer (not a whole number).

Please help.

Thanks

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Aug 21, 2013

arildno

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For example:
1) A\in\mathcal{Z}
2) A\notin\mathcal{Z}

Aug 21, 2013

economicsnerd

A is an integer: A\in\mathbb Z.
A is not an integer: A\notin\mathbb Z.
A is a real number which is not an integer: A\in\mathbb R\backslash\mathbb Z.
A is not a whole number: A\notin\mathbb Z_+.

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