I would like to write as a mathematical expression such sentence: x is the set of all natural numbers that can be divided by 2 without the remainder.
$\{x \in \mathbb N: What \ here? \} $
Thanks in advance, Regards, Misery
I would like to write as a mathematical expression such sentence: x is the set of all natural numbers that can be divided by 2 without the remainder.
$\{x \in \mathbb N: What \ here? \} $
Thanks in advance, Regards, Misery
A very typical shorthand when writing the set of natural numbers divisible by $a$ is to write $a\mathbb N = \{an \in \mathbb N\;|\; n \in \mathbb N\}$. Clearly every natural number of the form $an$ where $n\in \mathbb N$ is divisible by $a$ and every such number arises in this way. This follows the usual notation for cosets.