I was reading a parametrization and they used a peculiar way to write their equations which I am unfamiliar with as to how to properly interpret it. K refers to Kelvins in this case and what I am particularly struggling with is with the symbolic meaning of the $min[1, max[0,f(x)]$ structure.
$ Tscale_{i} = \min[1, \max[0, \frac{Tsurf_i-268.16 K}{Tmelt_i-268.16 K}]] $
Hope you guys can help me understand it. Regards.
$\min[a,b]$ is a function returning the smaller of $a$ and $b$.
$\max[b,c]$ is a function returning the larger of $b$ and $c$.
$\min[a,\max[b,c]]$ is a function returning the smaller of $a$ and (the larger of $b$ and $c$).
$i$ is an index.
speculation:
$T$ seems to refer to temperature, $K$ seems to be a unit (Kelvin), $T_{surf}$ might mean surface temperature, $T_{melt}$ may be melting point.
If our suppositions are true, the function is intended for application on a sequence of paired surface temperatures/melting points. It returns a measure called $T_{scale}$ with no units. This measure ranges from zero to one inclusive. More specifically, it equals either $0$, $1$, or $\frac{T_{surf}-268.16}{T_{melt}-268.16}$ when this value is between zero and one.