Naive height on the projective line
= Naive height on the projective line
{title2=$H([x:y])$}
{wiki=Height_function}
For coprime integers $x,y$, the multiplicative height of $[x:y]\in\mathbb P^1(\mathbb Q)$ is $H([x:y])=\max\{|x|,|y|\}$; its logarithmic height is $h=\log H$.