public static function logistic($x₀, $L, $k, $x) { $ℯ⁻ᵏ⁽ˣ⁻ˣ⁰⁾ = exp(-$k * ($x - $x₀)); return $L / (1 + $ℯ⁻ᵏ⁽ˣ⁻ˣ⁰⁾); }