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It is shown in the present article that the Minkowski function does notpreserve the Hausdorff-Besicovitch dimension. Results of this article werepresented by the author of this article on the Second InteruniversityScientific Conference on Mathematics and Physics for Young Scientists in April,2011 (Links to the conference paper (in Ukrainian):www.researchgate.net/publication/301637057,www.researchgate.net/publication/311665828. A link to the presentation (inUkrainian): www.researchgate.net/publication/303752636).

On one fractal property of the Minkowski function