Minkowski's Question Mark Function
Minkowski's Question Mark Function
Minkowski's question mark function is a purely singular odd function of a real argument. If is the simple continued fraction representation of the positive number , then . The value of the question mark function on the integers, rationals, or irrational quadratic numbers is rational. This Demonstration visualizes Minkowski's question mark function on the interval .
[;,,…]
a
0
a
1
a
2
x
?(x)+2(-1)+…+
a
0
n-1
Σ
n≥1
a
1
a
n
2
(,+δ)
x
0
x
0