Results 1 to 10 of about 16,389 (269)

About Some Monge–Kantovorich Type Norm and Their Applications to the Theory of Fractals

open access: yesMathematics, 2022
If X is a Hilbert space, one can consider the space cabv(X) of X valued measures defined on the Borel sets of a compact metric space, having a bounded variation. On this vector measures space was already introduced a Monge–Kantorovich type norm.
Ion Mierluș-Mazilu, Lucian Niță
doaj   +1 more source

SCALE-INVARIANT AND WAVE NATURE OF THE HUBBLE PARAMETER

open access: yesEurasian Physical Technical Journal, 2021
The value of the global Hubble parameter corresponding to astrophysical observations was determined theoretically without using ʌСDM models. A nonlinear fractal model of the connection between the distance to the observed galaxy and its coordinate is ...
Z.Zh. Zhanabaev   +2 more
doaj   +1 more source

Fractal Dimension Analysis to Detect the Progress of Cancer Using Transmission Optical Microscopy

open access: yesBiophysica, 2022
Fractal dimension, a measure of self-similarity in a structure, is a powerful physical parameter for the characterization of structural property of many partially filled disordered materials.
Liam Elkington   +2 more
doaj   +1 more source

On fractal measures and diophantine approximation [PDF]

open access: yesSelecta Mathematica, 2005
The paper under review is concerned with an extension of Mahler's problem in metric number theory, originally resolved by \textit{V. G. Sprindzuk} [''Mahler's problem in metric number theory,'' Nauka i Teknika, Minsk (1967; Zbl 0168.29504)]. Mahler conjectured that almost no points with respect to the natural measure on the curve \((x, x^2, \dots, x^n)\
Kleinbock, Dmitry   +2 more
openaire   +1 more source

Measuring Fractality [PDF]

open access: yesFrontiers in Physiology, 2012
WHEN INVESTIGATING FRACTAL PHENOMENA, THE FOLLOWING QUESTIONS ARE FUNDAMENTAL FOR THE APPLIED RESEARCHER: (1) What are essential statistical properties of 1/f noise? (2) Which estimators are available for measuring fractality? (3) Which measurement instruments are appropriate and how are they applied?
openaire   +3 more sources

Harmonic analysis of fractal measures [PDF]

open access: yesConstructive Approximation, 1996
38 pages, AMS-TeX ("amsppt" document style)
Jørgensen, Palle E. T., Pedersen, Steen
openaire   +3 more sources

Serotonergic psychedelics LSD & psilocybin increase the fractal dimension of cortical brain activity in spatial and temporal domains

open access: yesNeuroImage, 2020
Psychedelic drugs, such as psilocybin and LSD, represent unique tools for researchers investigating the neural origins of consciousness. Currently, the most compelling theories of how psychedelics exert their effects is by increasing the complexity of ...
Thomas F. Varley   +4 more
doaj   +1 more source

Fractal Singularities in a Measure and How to Measure Singularities on a Fractal [PDF]

open access: yesProgress of Theoretical Physics Supplement, 1986
This is a preliminary report upon a piece of research being carried out by T. C. Halsey, Mogens Jensen, Leo Kadanoff, Itamar Procaccia and Boris Shraiman. It is an outgrowth of the thinking reflected in the work of Hentschel and Procaccia1 and of Halsey, Meakin and Procaccia.2 A fuller report on this work will appear later.
openaire   +1 more source

Triangular constellations in fractal measures [PDF]

open access: yesEPL (Europhysics Letters), 2014
4 pages, 1 ...
Wilkinson, Michael, Grant, John
openaire   +2 more sources

FRACTAL STRUCTURE AND FRACTAL MEASUREMENT

open access: yes2022-yil, 3-son (133/1) ANIQ FANLAR SERIYASI, 2021
. This article is devoted to the study of fractal structure and fractal dimensions. The article explains the concept of fractals, the ability to determine the fractal sizes of parts of the human body based on fractals and, based on these data, determine or predict what disease a person suffers from.
openaire   +1 more source

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