Results 91 to 100 of about 128,862 (220)

NMR and SEM fractal dimensions explore shale pore structure taking the Upper Paleozoic shale in Ordos Basin as an example.

PLoS ONE
In this paper, the fractal dimension is calculated by extracting pore parameters from SEM images and NMR experimental data, the pore structure heterogeneity in plane and space is comprehensively discussed, and the relationship between the fractal ...
Keying Zhao, Zhanghua Zhang
doaj   +1 more source

Computability and Fractal Dimension

, 2004
This thesis combines computability theory and various notions of fractal dimension, mainly Hausdorff dimension. An algorithmic approach to Hausdorff measures makes it possible to define the Hausdorff dimension of individual points instead of sets in a metric space. This idea was first realized by Lutz (2000). Working in the Cantor space of all infinite
openaire   +3 more sources

Fractals on a Benchtop: Observing Fractal Dimension in a Resistor Network

The Physics Teacher, 2022
Our first experience of dimension typically comes in the intuitive Euclidean sense: a line is one dimensional, a plane is two dimensional, and a volume is three dimensional. However, following the work of Mandelbrot, systems with a fractional dimension, “fractals,” now play an important role in science. The novelty of encountering fractional dimension,
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Fractal dimensions of fractal transformations and quantization dimensions for bi-Lipschitz mappings

Journal of Fractal Geometry, Mathematics of Fractals and Related Topics
In this paper, we study the fractal dimension of the graph of a fractal transformation and also determine the quantization dimension of a probability measure supported on the graph of the fractal transformation. Moreover, we estimate the quantization dimension of the invariant measure corresponding to a weighted iterated function system consisting of ...
Amit Priyadarshi, Manuj Verma, Saurabh Verma   +2 more
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Algorithmic interpretations of fractal dimension

, 2017
We study algorithmic problems on subsets of Euclidean space of low fractal dimension. These spaces are the subject of intensive study in various branches of mathematics, including geometry, topology, and measure theory. There are several well-studied notions of fractal dimension for sets and measures in Euclidean space.
Sidiropoulos, Anastasios, Sridhar, Vijay
openaire   +5 more sources

Intermittence and fractal dimensionality in multiple particle creation processes [PDF]

, 1987
Igor M. Dremin
openalex   +1 more source

𝑘-dimensional regularity classifications for 𝑠-fractals [PDF]

, 1988
Miguel Ángel Martı́n, Pertti Mattila
openalex   +1 more source

Critical (percolation) behaviour and fractal dimension of aggregates in immunological agglutination reaction [PDF]

, 1988
Vadim A. Markel, M. I. Stokman
openalex   +1 more source

A Computer Algorithm for Determining the Hausdorff Dimension of Certain Fractals [PDF]

, 1988
Lucy Garnett
openalex   +1 more source

Analytic Study of Fractal Structure of Quantized Surface in Two-Dimensional Quantum Gravity [PDF]

, 1993
Y. Watabiki
openalex   +1 more source