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Minkowski's question mark function

Known as: Conway box function, %3F function, %3F(x) 
In mathematics, the Minkowski question mark function (or the slippery devil's staircase), denoted by ?(x), is a function possessing various unusual… Expand
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Related topics

Related topics

13 relations
AlgorithmBlancmange curveCalkin–Wilf treeCantor function
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Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2017
2017
The Stern Sequence and Moments of Minkowski's Question Mark Function
1 : We use properties of the Stern Sequence for numerical computations of moments 1 0 t n d?(t) associated to Minkowski's… Expand
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2017
2017
Minkowski's question mark measure
  • G. Mantica
  • J. Approx. Theory
  • 2017
    • Corpus ID: 205707449
Minkowski's question mark function is the distribution function of a singular continuous measure: we study this measure from the… Expand
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2015
2015
Orthogonal polynomials for Minkowski's question mark function
Hermann Minkowski introduced a function in 1904 which maps quadratic irrational numbers to rational numbers and this function is… Expand
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2015
2015
On a problem by R. Salem concerning Minkowski's question mark function
Minkowski's question mark function is strictly increasing on $[0, 1]$ and hence defines a Stieltjes measure on $[0, 1]$. A… Expand
2010
2010
Fourier-Stieltjes coefficients of the Minkowski question mark function
In this paper we investigate the Fourier-Stieltjes coefficients of the Minkowski question mark function. In 1943, R. Salem asked… Expand
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2010
2010
THE MOMENTS OF MINKOWSKI QUESTION MARK FUNCTION: THE DYADIC PERIOD FUNCTION
The Minkowski question mark function ?( x ) arises as a real distribution of rationals in the Farey tree. We examine the… Expand
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2010
2010
The Minkowski question mark function: explicit series for the dyadic period function and moments
Previously, several natural integral transforms of the Minkowski question mark function F(x) were introduced by the author. Each… Expand
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2009
2009
Differentiability of the Minkowski question mark function
Abstract We get necessary and sufficient conditions for the derivative of the Minkowski question mark function ? ( x ) to be… Expand
2008
2008
Integral transforms of the Minkowski question mark function
The Minkowski question mark function F(x) arises as a real distribution function of rationals in the Farey (alias, Stern-Brocot… Expand
2007
2007
On the derivative of the Minkowski question mark function ?(x)
Let x = [0; a1, a2, …] be the regular continued fraction expansion of an irrational number x ∈ [0, 1]. For the derivative of the… Expand
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