The box-counting dimension of the sine-curve
Hüseyin Azcan, Ş. Koçak, Nevin Orhun, Mehmet Üreyen (1999)
Mathematica Slovaca
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Displaying similar documents to “On a class of functions with the graph box dimension .”
The box-counting dimension of the sine-curve
Area and Hausdorff dimension of the set of accessible points of the Julia sets of λe^z and λ sin(z)
Bogusława Karpińska (1999)
Fundamenta Mathematicae
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A formula for calculation of metric dimension of converging sequences
Ladislav, Jr. Mišík, Tibor Žáčik (1999)
Commentationes Mathematicae Universitatis Carolinae
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Converging sequences in metric space have Hausdorff dimension zero, but their metric dimension (limit capacity, entropy dimension, box-counting dimension, Hausdorff dimension, Kolmogorov dimension, Minkowski dimension, Bouligand dimension, respectively) can be positive. Dimensions of such sequences are calculated using a different approach for each type. In this paper, a rather simple formula for (lower, upper) metric dimension of any sequence given by a differentiable convex function,...
On some approximation properties of the metric dimension
Tibor Žáčik (1992)
Mathematica Slovaca
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An explicit formula for the Mahler measure of a family of -variable polynomials
Chris J. Smyth (2002)
Journal de théorie des nombres de Bordeaux
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An explicit formula for the Mahler measure of the -variable Laurent polynomial is given, in terms of dilogarithms and trilogarithms.