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Values D q are known as generalized dimensions [29, 45].
For the same patient, the generalized dimensions are presented in Fig. 2.
These generalized dimensions and D q spectra are evaluated for our data using (5).
Fig. 2 The generalized dimensions D q as a function of the index q for patient P3.
Also, for appropriate model realization, the values of generalized dimensions provided in the paper can be beneficial.
Multifractal parameters calculated in the analysis (multifractal spectra and generalized dimensions) can be used for creating improved multiplexing methods.
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The load balancing algorithm is based on generalized dimension exchange (GDE).
The method of moments allows simple calculation of a generalized dimension spectrum, using function τ q).
We consider unital simple inductive limits of generalized dimension drop C∗-algebras.
As a consequence, we obtain the following classification result: Let A and B be two unital simple inductive limits of generalized dimension drop algebras with no dimension growth.
The generalized dimension Dq and the singularity spectrum f provided quantitative values that characterize the local scale properties of dental nanocomposites polished by four different dental polishing protocols at nanometer scale.
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