Results 51 to 60 of about 69,690 (223)

Complex continued fractions with restricted entries

Electronic 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  

Unstained Blood Smear Analysis: A Review of Rule‐Based, Machine Learning, and Deep Learning Techniques

Journal of Biophotonics, EarlyView.
Bright‐field images of unstained smears. (1) Sparse erythrocytes allow straightforward intensity‐ or phase‐based segmentation. (2) Overlapping cells blur boundaries, causing over‐ or under‐segmentation and lowering rule‐based accuracy, thus motivating overlap‐aware algorithms for reliable downstream feature extraction and classification. ABSTRACT Blood
Husnu Baris Baydargil, Thomas Bocklitz
wiley   +1 more source

Minimality of planes in normed spaces

, 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, D. Burago, D. Burago, Dmitri Burago, F.J. Almgren Jr., H. Busemann, H. Busemann, H. Busemann, H. Busemann, H. Busemann, M. Gromov, R.D. Holmes, Sergei Ivanov   +12 more
core   +1 more source

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

Journal 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, Jonathan Sykes, Yolanda Surjan, Rachael Beldham‐Collins, Laura Murphy, John Fernandez, Alison Salkeld   +6 more
wiley   +1 more source

On the Hausdorff measure of noncompactness for the parameterized Prokhorov metric

Journal 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”

Comptes 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

Exact Hausdorff Measure of Certain Non-Self-Similar Cantor Sets

, 2013
We establish a formula yielding the Hausdorff measure for a class of non-self-similar Cantor sets in terms of the canonical covers of the Cantor set.Comment: 19 ...
Pedersen, Steen, Phillips, Jason D.
core   +1 more source

Development of an Open‐Source Algorithm for Automated Segmentation in Clinician‐Led Paranasal Sinus Radiologic Research

The Laryngoscope, EarlyView.
The purpose of this study was to validate and provide an open‐source segmentation algorithm of paranasal sinus CT scans for the otolaryngology research community. This can be used for further AI‐based analysis and radiomic analysis in future research. ABSTRACT Objective Artificial Intelligence (AI) research needs to be clinician led; however, expertise
Rhea Darbari Kaul, Wenjin Zhong, Sidong Liu, Ghasem Azemi, Kate Liang, Emma Zou, Peta‐Lee Sacks, Cedric Thiel, Raewyn Gay Campbell, Larry Kalish, Raymond Sacks, Antonio Di Ieva, Richard John Harvey   +12 more
wiley   +1 more source

Compact matrix operators on a new sequence space related to ℓ p $\ell_{p}$ spaces

Journal of Inequalities and Applications, 2016
In this paper, we derive some identities or estimates for the operator norms and the Hausdorff measures of noncompactness of certain matrix operators on the sequence space ℓ p ( r , s , t ; B ( m ) ) $\ell_{p}(r,s,t;B^{(m)})$ which is related to ℓ p ...
Abdullah Alotaibi, Mohammad Mursaleen, Syed Abdul Mohiuddine   +2 more
doaj   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, EarlyView.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source