INFORMATION FRACTAL DIMENSION OF MASS FUNCTION
نویسندگان
چکیده
Fractals play an important role in nonlinear science. The most parameter when modeling a fractal is the dimension. Existing information dimension can calculate of probability distribution. However, calculating given mass function, which generalization probability, still open problem immense interest. main contribution this work to propose function. Numerical examples are show effectiveness our proposed We discover property that function with maximum Deng entropy [Formula: see text], well-known Sierpiski triangle. application complexity analysis time series illustrates method.
منابع مشابه
The Fractal Dimension of Protein Information
We analyze the human proteins by using pentapeptides as functional/structural modular units. We find that amino acid primary sequences can be described by a repeating transition from highly repeated modules to rare ones. The wave-like similarity profile confers a fractal dimension to the protein modularity and correlates with the informational content.
متن کاملEffective Fractal Dimension in Algorithmic Information Theory
Hausdorff dimension assigns a dimension value to each subset of an arbitrary metric space. In Euclidean space, this concept coincides with our intuition that smooth curves have dimension 1 and smooth surfaces have dimension 2, but from its introduction in 1918 [23] Hausdorff noted that many sets have noninteger dimension, what he called “fractional dimension”. The development and applications o...
متن کاملFractal Dimension of Graphs of Typical Continuous Functions on Manifolds
If M is a compact Riemannian manifold then we show that for typical continuous function defined on M, the upper box dimension of graph(f) is as big as possible and the lower box dimension of graph(f) is as small as possible.
متن کاملDiagnosis of B-CLL Leukemia Using Fractal Dimension
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). Fractal geometry can be introduced as one of the effective ways to detect this type of cancer. In this study, with introduc...
متن کاملSmall-Angle Scattering from Polymeric Mass Fractals of Arbitrary Mass-Fractal Dimension
The Debye equation for polymer coils describes scattering from a polymer chain that displays Gaussian statistics. Such a chain is a mass fractal of dimension 2 as evidenced by a power-law decay o f 2 in the scattering at intermediate q. At low q, near q ~_ 2rc/Rg, the Debye equation describes an exponential decay. For polymer chains that are swollen or slightly collapsed, such as is due to good...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fractals
سال: 2022
ISSN: ['1793-6543', '0218-348X']
DOI: https://doi.org/10.1142/s0218348x22501109