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The box dimension of a continuous strictly increasing function is 1.
Existence of a Strictly Increasing, Continuous Function whose Derivative is 0 a.e. on $mathbb{R}$Hausdorff dimension mathces Box-counting dimensionHausdorff dimension of graph of functionBox Dimension ExampleCalculation of the Box DimensionDimension of the graph of a Function with continuous derivativeSet with equal Hausdorff and topological dimension but larger box counting dimensionSufficient condition for fractal dimension of continuous nowhere differentiable functionsBox dimension, graphs and sum of functionsHausdorff and box dimension of Kiesswetter's function
$begingroup$
This question on mathoverflow shows that the Hausdorff dimension of a continuous strictly increasing function is 1. I have at hand the Casino function:
whose box dimension is also 1. I was wondering then if the following statement holds:
The box dimension of a continuous strictly increasing function is 1.
measure-theory fractals dimension-theory
asked yesterday
JavierJavier
2,06621234
$endgroup$
add a comment |
$begingroup$
This question on mathoverflow shows that the Hausdorff dimension of a continuous strictly increasing function is 1. I have at hand the Casino function:
whose box dimension is also 1. I was wondering then if the following statement holds:
The box dimension of a continuous strictly increasing function is 1.
measure-theory fractals dimension-theory
asked yesterday
JavierJavier
2,06621234
$endgroup$
add a comment |
$begingroup$
This question on mathoverflow shows that the Hausdorff dimension of a continuous strictly increasing function is 1. I have at hand the Casino function:
whose box dimension is also 1. I was wondering then if the following statement holds:
The box dimension of a continuous strictly increasing function is 1.
measure-theory fractals dimension-theory
asked yesterday
JavierJavier
2,06621234
$endgroup$
This question on mathoverflow shows that the Hausdorff dimension of a continuous strictly increasing function is 1. I have at hand the Casino function:
whose box dimension is also 1. I was wondering then if the following statement holds:
The box dimension of a continuous strictly increasing function is 1.
measure-theory fractals dimension-theory
measure-theory fractals dimension-theory
asked yesterday
JavierJavier
2,06621234
asked yesterday
JavierJavier
2,06621234
asked yesterday
JavierJavier
2,06621234
asked yesterday
JavierJavier
2,06621234
asked yesterday
JavierJavier
2,06621234
2,06621234
add a comment |
add a comment |
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