Minkowski's Question Mark Function - Conway Box Function

Conway Box Function

See also: Sawtooth wave

The ? is invertible, and the inverse function has also attracted the attention of various mathematicians, in particular John Conway, who discovered it independently, and whose notation for ?−1(x) is x with a box drawn around it: x The box function can be computed as an encoding of the base two expansion of, where denotes the floor function. To the right of the point, this will have n1 0s, followed by n2 1s, then n3 0s and so on. For ,

x = ,

where the term on the right is a continued fraction.

Read more about this topic:  Minkowski's Question Mark Function

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