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On the derivative of the Minkowski question mark function ?(x)

✍ Scribed by Anna A. Dushistova; Nikolai G. Moshchevitin


Book ID
113072804
Publisher
Springer US
Year
2012
Tongue
English
Weight
176 KB
Volume
182
Category
Article
ISSN
1573-8795

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Minkowski's ? x function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it enables us to prove that its derivative, when it exists in a wide sense, can only attain two values: zero and infinity. It is also

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