Results 61 to 70 of about 7,704,065 (318)

Curvature exponent and geodesic dimension on Sard-regular Carnot groups

Analysis and Geometry in Metric Spaces
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj   +1 more source

Organoids in pediatric cancer research

FEBS Letters, EarlyView.
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley   +1 more source

On best approximation in fuzzy metric spaces [PDF]

, 2015
summary:In this paper we introduce the notation of t-best approximatively compact sets, t-best approximation points, t-proximinal sets, t-boundedly compact sets and t-best proximity pair in fuzzy metric spaces.
Abbasi, Naser, Mottaghi Golshan, Hamid
core   +1 more source

Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
doaj   +1 more source

Generalize partial Metric spaces

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020
The purpose of this research is to introduce a concept of general partial metric spaces as a generalization of partial metric space. Give some results and properties and find relations between general partial metric space, partial metric spaces and D ...
Norhan I. Abdullah, Laith K. Shaakir
doaj   +1 more source

Kaleva-Seikkala’s Type Fuzzy b-Metric Spaces and Several Contraction Mappings

Journal of Function Spaces, 2022
In this paper, we introduce the concept of Kaleva-Seikkala’s type fuzzy b-metric spaces as a generalization of the notion of b-metric spaces and fuzzy metric spaces.
Shu-Fang Li, Fei He, Shu-Min Lu
doaj   +1 more source

On projections of metric spaces

J. Comput. Geom., 2011
Journal of Computational Geometry, Vol. 5 No. 1 (2014)
openaire   +4 more sources

Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system

FEBS Letters, EarlyView.
Age‐dependent shifts in microbial communities engender shifts in microbial metabolite profiles. These in turn drive shifts in barrier surface permeability of the gut and brain and induce immune activation. When paired with preexisting age‐related chronic inflammation this increases the risk of neuroinflammation and neurodegenerative diseases.
Aaron Mehl, Eran Blacher
wiley   +1 more source

Double Controlled Metric Type Spaces and Some Fixed Point Results

Mathematics, 2018
In this article, in the sequel of extending b-metric spaces, we modify controlled metric type spaces via two control functions α ( x , y ) and μ ( x , y ) on the right-hand side of the b - triangle inequality, that is, d ( x , y ) ≤ α ( x , z ) d ( x , z
T. Abdeljawad, Nabil Mlaiki, H. Aydi, Nizar Souayah   +3 more
semanticscholar   +1 more source

Biophysical approaches for studying viral entry

FEBS Letters, EarlyView.
Viruses infect all living organisms and have been responsible for major epidemics and pandemics. Their ongoing evolutionary battle with host defenses creates a constant need for improved tools to study viral behavior. Advancing methods to probe viral attachment, fusion, and genome release deepen our understanding of how infections begin and support the
Inbar Yosibash, Raya Sorkin
wiley   +1 more source