Results 61 to 70 of about 72,312 (306)

Complex continued fractions with restricted entries

open access: yesElectronic Journal of Differential Equations, 1998
We study special infinite iterated function systems derived from complex continued fraction expansions with restricted entries. We focus our attention on the corresponding limit set whose Hausdorff dimension will be denoted by $h$. Our primary goal is to
Pawel Hanus, Mariusz Urbanski
doaj  

Minimality of planes in normed spaces

open access: yes, 2012
We prove that a region in a two-dimensional affine subspace of a normed space $V$ has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary.
A.C. Thompson   +12 more
core   +1 more source

Comparison of Auto‐Contouring Tools for Delineation of Normal Organs at Risk in Paediatric Patients Undergoing Radiotherapy

open access: yesJournal of Medical Radiation Sciences, EarlyView.
Contouring organs at risk (OARs) manually in paediatric patients undergoing cranial‐spinal radiation therapy (CSI) is a time‐consuming, labour‐intensive task. This study aims to assess the accuracy and clinical acceptability of auto‐contours produced by the Siemens DirectORGANS auto‐contouring software on paediatric patients receiving CSI treatment ...
Isabel Cant   +6 more
wiley   +1 more source

Solvability of invariant systems of differential equations on H2$\mathbb {H}^2$ and beyond

open access: yesMathematische Nachrichten, EarlyView.
Abstract We show how the Fourier transform for distributional sections of vector bundles over symmetric spaces of non‐compact type G/K$G/K$ can be used for questions of solvability of systems of invariant differential equations in analogy to Hörmander's proof of the Ehrenpreis–Malgrange theorem.
Martin Olbrich, Guendalina Palmirotta
wiley   +1 more source

MRI of Neurogenic Human Motor Units Following Poliomyelitis

open access: yesMuscle &Nerve, EarlyView.
ABSTRACT Introduction/Aims Surviving motor units in neurogenic diseases demonstrate collateral reinnervation. Scanning electromyography (EMG) reveals normal motor unit corridor length, but with “silent regions,” suggesting that reinnervation does not result in increased motor unit size but may increase motor unit complexity.
Stuart Maitland   +6 more
wiley   +1 more source

Compactness via Hausdorff measure of non-compactness and some properties on Tetranacci sequence spaces

open access: yesDera Natung Government College Research Journal
The characterization of compact operators on BK-spaces, which is the basis of this research, makes use of the Hausdorff measure of non-compactness. In this study, the compactness criteria of matrix operators defined on BK-spaces $\ell_p(\mathcal{T})$ and
Sezer Erdem, Serkan Demiriz
doaj   +1 more source

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

open access: yesJournal of Inequalities and Applications, 2016
We quantify the Prokhorov theorem by establishing an explicit formula for the Hausdorff measure of noncompactness (HMNC) for the parameterized Prokhorov metric on the set of Borel probability measures on a Polish space.
Ben Berckmoes
doaj   +1 more source

Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”

open access: yesComptes Rendus. Mathématique, 2020
This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space $\mathbb{N}^{\mathbb{N}}$, defined by Gibbs measure.
Selmi, Bilel
doaj   +1 more source

Liquid Phase TEM of Diffusing Emulsion Droplets

open access: yesSmall, EarlyView.
Motion of emulsion droplets was observed via in situ liquid phase transmission electron microscopy. Analysis revealed that the motion is self‐affine and influenced by multiple stochastic processes, as well as a fractal landscape created by the electron beam.
Maria A. Vratsanos   +4 more
wiley   +1 more source

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