Articles with "counting dimension" as a keyword



New ε-regularity criteria and improved box-counting dimension of potential singular set for suitable weak solutions to the Navier-Stokes-Planck-Nernst-Poisson system

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Published in 2025 at "Physica Scripta"

DOI: 10.1088/1402-4896/adf8a2

Abstract: Since the seminal work of (Caffarelli et al 1982 Comm. Pure Appl. Math.35 771—831) on the partial regularity theory for the three-dimensional incompressible Navier-Stokes equations, where they proved that the one-dimensional parabolic Hausdorff measure of… read more here.

Keywords: box counting; counting dimension; navier stokes; dimension ... See more keywords

An Improved 3D Box-Counting Dimension Computing Technology for Estimating the Complexity of 3D Models

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Published in 2022 at "IEEE Access"

DOI: 10.1109/access.2022.3221458

Abstract: The box-counting dimension, which can effectively reflect the complexity and self-similarity of models, is an important method for calculating the fractal dimension of models. To improve the precision of the box-counting dimension algorithm, in this… read more here.

Keywords: counting dimension; dimension algorithm; dimension; box counting ... See more keywords
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Box-counting dimension computed by α-dense curves

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Published in 2017 at "Fractals"

DOI: 10.1142/s0218348x17500396

Abstract: We introduce a method to reduce to the real case the calculus of the box-counting dimension of subsets of the unit cube In, n > 1. The procedure is based on the existence of special… read more here.

Keywords: computed dense; counting dimension; box counting; dense curves ... See more keywords

The Application of Computed Tomography to Study the Soil Porosity of Mountain Red Earth

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Published in 2024 at "Applied Sciences"

DOI: 10.3390/app14199050

Abstract: Mountain red soil, as a special type of soil in the South, has received widespread attention for its soil erosion problems. Its pore structure restricts water infiltration, thereby affecting the occurrence and development of soil… read more here.

Keywords: box counting; soil; counting dimension; mountain red ... See more keywords