Results 11 to 20 of about 16,389 (269)

Solution of a fractal energy integral operator without body force using measure of noncompactness

open access: yesAlexandria Engineering Journal, 2020
In this paper, we study the solution of fractal energy integral equation for one-dimensional compressible flows without body force using measure of noncompactness.
Hemant Kumar Nashine   +2 more
doaj   +1 more source

Descriptions of Entropy with Fractal Dynamics and Their Applications to the Flow Pressure of Centrifugal Compressor

open access: yesEntropy, 2019
In this study, some important intrinsic dynamics have been captured after analyzing the relationships between the dynamic pressure at an outlet of centrifugal compressor and fractal characteristics, which is one of powerful descriptions in entropy to ...
Yan Liu, Dongxiao Ding, Kai Ma, Kuan Gao
doaj   +1 more source

Association of the Fractal Dimension of Retinal Arteries and Veins with Quantitative Brain MRI Measures in HIV-Infected and Uninfected Women. [PDF]

open access: yesPLoS ONE, 2016
OBJECTIVE:The fractal dimension of retinal arteries and veins is a measure of the complexity of the vascular tree. We hypothesized that retinal fractal dimension would be associated with brain volume and white matter integrity in HIV-infected women ...
Howard A Crystal   +8 more
doaj   +1 more source

Fractal-Thermodynamic system analogy and complexity of plant leaves

open access: yesEnvironmental Research Communications, 2023
More precise measurements of the complexity of leaf shapes can open new pathways to understanding plant adaptation and resilience in the face of global changes.
M Vishnu, R Jaishanker
doaj   +1 more source

FRACTAL VECTOR MEASURES IN THE CASE OF AN UNCOUNTABLE ITERATED FUNCTION SYSTEM [PDF]

open access: yesRomanian Journal of Mathematics and Computer Science, 2015
In this paper we obtain an extension of the concept of Hutchinson measure (which is the unique fi xed point of a contraction on the set of normalized Borel measures on a compact metric space) related to an iterated function system.
LUCIAN NITA
doaj  

Extended Minimal Atomicity through Nondifferentiability: A Mathematical-Physical Approach

open access: yesAdvances in Mathematical Physics, 2019
The mathematical concept of minimal atomicity is extended to fractal minimal atomicity, based on the nondifferentiability of the motion curves of physical system entities on a fractal manifold.
Gabriel Gavriluţ   +2 more
doaj   +1 more source

An Improve Differential Box Counting Method to Estimate Fractal Dimension [PDF]

open access: yesEngineering and Technology Journal, 2015
The mathematical concept that used to measure the complexity of the fractal sets is known as fractal dimension. It is considered as a global feature for fractal images.
N.M.G. Alsaidi, W.J. Abdulaal
doaj   +1 more source

Fractal Measures for Parabolic IFS

open access: yesAdvances in Mathematics, 2002
This is a sequel of previous work by the authors [Ergodic theory Dyn. Syst. 20, No. 5, 1423-1447 (2000; Zbl 0982.37045)] that described and studied the invariant set \(J\) of a parabolic conformal iterated function system \(S\). A remarkable result in this paper gives full account of the behavior of the Hausdorff and packing measures of \(J\) in its ...
Mauldin, R.Daniel, Urbański, Mariusz
openaire   +2 more sources

Fractal analysis in oral leukoplakia

open access: yesJournal of Indian Academy of Oral Medicine and Radiology, 2015
Introduction: Fractal analysis (FA) quantifies complex geometric structures by generating a fractal dimension (FD), which can measure the complexity of mucosa.
Prashant Bhai Pandey   +5 more
doaj   +1 more source

Fractal dimension of coastline of Australia

open access: yesScientific Reports, 2021
Coastlines are irregular in nature having (random) fractal geometry and are formed by various natural activities. Fractal dimension is a measure of degree of geometric irregularity present in the coastline. A novel multicore parallel processing algorithm
Akhlaq Husain   +3 more
doaj   +1 more source

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