Results 51 to 60 of about 4,502,073 (308)
THE EXISTENCE AND UNIQUENESS OF COMPLETION OF COMPLEX VALUED METRIC SPACES
Completion of a metric space has been investigated and proved its existence and uniqueness. While a complex valued metric space is considered as a generalization of a metric space, we study the completion properties of complex valued metric spaces. Using
DAHLIATUL HASANAH, IMAM SUPENO
doaj +1 more source
Gut microbiome and aging—A dynamic interplay of microbes, metabolites, and the immune system
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
Fuzzy Triple Controlled Metric Spaces and Related Fixed Point Results
In this study, we introduce fuzzy triple controlled metric space that generalizes certain fuzzy metric spaces, like fuzzy rectangular metric space, fuzzy rectangular b-metric space, fuzzy b-metric space, and extended fuzzy b-metric space.
Salman Furqan +2 more
doaj +1 more source
On projections of metric spaces
Journal of Computational Geometry, Vol. 5 No. 1 (2014)
openaire +4 more sources
Reaction Networks and the Metric Structure of Chemical Space(s) [PDF]
In this paper, we develop a formal definition of chemical space as a discrete metric space of molecules and analyze its properties. To this end, we utilize the shortest path metric on reaction networks to define a distance function between molecules of ...
Dmitrij Rappoport (1273044) +2 more
core +1 more source
Biophysical approaches for studying viral entry
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
A Fixed Point Theorem of Reich in G-Metric Spaces
In this paper we prove some fixed point results for mapping satisfying sufficient contractive conditions on a complete G-metric space, also we showed that if the G-metric space is symmetric, then the existence and uniqueness of these fixed point results ...
Zead Mustafa, Hamed Obiedat
doaj
Common fixed point theorem for weakly compatible mappings in Sm metric space
In the present paper, at first, we study the structure of the newly Smmetric space, which is a union of S-metric space and multiplicative metric space with new contraction condition.
Mallaiah Katta, Srinivas Veladi
doaj +1 more source
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Balls in generalizations of metric spaces
This paper discusses balls in partial b-metric spaces and cone metric spaces, respectively. Let ( X , p b ) $(X,p_{b})$ be a partial b-metric space in the sense of Mustafa et al. For the family △ of all p b $p_{b}$ -open balls in ( X , p b ) $(X,p_{b})$ ,
Xun Ge, Shou Lin
doaj +1 more source

