Results 61 to 70 of about 164,476 (143)
What is the dimension of your binary data? [PDF]
Many 0/1 datasets have a very large number of variables; on the other hand, they are sparse and the dependency structure of the variables is simpler than the number of variables would suggest. Defining the effective dimensionality of such a dataset is a nontrivial problem.
arxiv +1 more source
Fractal dimension in star formation regions [PDF]
Several two-dimensional studies in spiral galaxies show that HII star formation regions have a fractal distribution, with a fractal dimension of approximately 2.3. In this work, the fractal dimension is calculated through the box-counting method implemented in an R code. The innovation of the work lies in calculating the fractal dimension directly in 3
arxiv
Diagnosis of B-CLL Leukemia Using Fractal Dimension [PDF]
Background:Leukemia is cancer of blood and bone marrow cells. In general, there are four types of leukemia: chronic myelogenous leukemia (CML), acute myeloid leukemia (AML), B-cell chronic lymphocytic leukemia (CLL) and acute lymphoblastic leukemia (ALL).
Tohid Yousefzadeh Hassanluie+2 more
doaj
Order-Fractal transition in abstract paintings [PDF]
We report the degree of order of twenty-two Jackson Pollock's paintings using \emph{Hausdorff-Besicovitch fractal dimension}. Through the maximum value of each multi-fractal spectrum, the artworks are classify by the year in which they were painted. It has been reported that Pollock's paintings are fractal and it increased on his latest works.
arxiv +1 more source
Fractal dimension curves of urban growth can be modeled with sigmoid functions, including logistic function and quadratic logistic function. Different types of logistic functions indicate different spatial dynamics.
Xiaoming Man, Yanguang Chen
doaj +1 more source
Algorithmic interpretations of fractal dimension [PDF]
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.
arxiv
Counterexamples in theory of fractal dimension for fractal structures [PDF]
Fractal dimension constitutes the main tool to test for fractal patterns in Euclidean contexts. For this purpose, it is always used the box dimension, since it is easy to calculate, though the Hausdorff dimension, which is the oldest and also the most accurate fractal dimension, presents the best analytical properties.
arxiv
𝑘-dimensional regularity classifications for 𝑠-fractals [PDF]
Miguel Ángel Martı́n, Pertti Mattila
openalex +1 more source
Intermittence and fractal dimensionality in multiple particle creation processes [PDF]
Igor M. Dremin
openalex +1 more source
Landslides are one of the major natural disasters that are frequently occurring in southwestern China. The main objective of this study is to investigate the relationship between failure of landslide and fractal dimension using displacement time-series ...
W. Y. Xu+3 more
doaj +1 more source