Results 81 to 90 of about 5,104 (219)

Bayesian Updating for Stochastic Processes in Infinite-Dimensional Normed Vector Spaces

Axioms
In this paper, we introduce a generalized framework for conditional probability in stochastic processes taking values in infinite-dimensional normed spaces.
Serena Doria
doaj   +1 more source

The Hausdorff dimension and exact Hausdorff measure of random recursive sets with overlapping

International Journal of Mathematics and Mathematical Sciences, 2002
We weaken the open set condition and define a finite intersection property in the construction of the random recursive sets. We prove that this larger class of random sets are fractals in the sense of Taylor, and give conditions when these sets have ...
Hongwen Guo, Dihe Hu
doaj   +1 more source

The Evolution of Breast Cancer Detection: A Review of Imaging, Machine Learning, and Multimodal Strategies

Computational and Systems Oncology, Volume 6, Issue 1, December 2026.
ABSTRACT Breast cancer is still a serious problem in the world arena, where its early and prompt detection is the most important factor in improving patient prognosis and survival. The use of traditional diagnostic techniques, such as imaging (e.g., mammography and ultrasound) and subsequent histopathological examination, is the mainstay, which ...
Likhon Chandra Sarkar, Farida Siddiqi Prity, Farhad Hussain, Anup Talukder, Mirza Raquib, Sharmina Rahman, MD Jiabul Hoque   +6 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Bregman–Hausdorff Divergence: Strengthening the Connections Between Computational Geometry and Machine Learning

Machine Learning and Knowledge Extraction
The purpose of this paper is twofold. On a technical side, we propose an extension of the Hausdorff distance from metric spaces to spaces equipped with asymmetric distance measures.
Tuyen Pham, Hana Dal Poz Kouřimská, Hubert Wagner   +2 more
doaj   +1 more source

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Several Similarity Measures of Neutrosophic Sets [PDF]

Neutrosophic Sets and Systems, 2013
Smarandache (1995) defined the notion of neutrosophic sets, which is a generalization of Zadeh's fuzzy set and Atanassov's intuitionistic fuzzy set. In this paper, we first develop some similarity measures of neutrosophic sets.
Said Broumi, Florentin Smarandache
doaj  

Precision or Paradox? AI‐Driven Adiposity Imaging in Women With Overweight and Obesity: A Systematic Review and Meta‐Analysis

Obesity Reviews, Volume 27, Issue 9, September 2026.
ABSTRACT Artificial intelligence (AI) enables automated, high‐throughput adiposity quantification, offering refined risk stratification for women with overweight and obesity. We systematically reviewed and meta‐analyzed studies evaluating AI‐based segmentation of visceral, subcutaneous, and total fat in adult women populations (BMI: 25–29.9 and ≥ 30 kg/
Asefa Adimasu Taddese, Bjorn T. Tam
wiley   +1 more source

Free semigroups of large critical exponent

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract For a convergence group equipped with an expanding coarse‐cocycle, we construct finitely generated free subsemigroups, which we call Bishop−−Jonessemigroups$\textit{Bishop--Jones semigroups}$, of critical exponent arbitrarily close to but strictly less than the critical exponent of the ambient group.
Aleksander Skenderi
wiley   +1 more source

Multifractal Structure of the Divergence Points of Some Homogeneous Moran Measures

Advances in Mathematical Physics, 2014
The point x for which the limit limr→0⁡(log⁡μBx,r/log⁡r) does not exist is called divergence point. Recently, multifractal structure of the divergence points of self-similar measures has been investigated by many authors.
JiaQing Xiao, YouMing He
doaj   +1 more source