(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Find a linear ordering of [tex]\mathbb{N} \times \mathbb{N}[/tex] and

use it to construct an explicit bijection [tex]f : \mathbb{N} \to \mathbb{N} \times \mathbb{N}[/tex].

2. Relevant equations

3. The attempt at a solution

I know how to find a bijection by graphically by drawing the [tex]\mathbb{N} \times \mathbb{N}[/tex] in a matrix and then traverse the elements diagonally. However, I cannot find a formula that maps an [tex]n[/tex] to a [tex](x,y)[/tex] pair.

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# Homework Help: Find explicit bijection from N to N x N

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