Results 81 to 90 of about 5,912,088 (357)

On projections of metric spaces

open access: yesJournal of Computational Geometry, 2011
Journal of Computational Geometry, Vol. 5 No. 1 (2014)
openaire   +4 more sources

Function valued metric spaces [PDF]

open access: yesSurveys in Mathematics and its Applications, 2010
In this paper we introduce the notion of an ℱ-metric, as a function valued distance mapping, on a set X and we investigate the theory of ℱ-metrics paces.
Madjid Mirzavaziri
doaj  

Fixed point theorems in a new type of modular metric spaces

open access: yesFixed Point Theory and Applications, 2018
In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
doaj   +1 more source

Round and sleek subspaces of linear metric spaces and metric spaces [PDF]

open access: yesarXiv, 2022
In the recent work [Metrically round and sleek metric spaces, \emph{The Journal of Analysis} (2022), pp 1--17], the authors proved some results on metrically round and sleek linear metric spaces and metric spaces. In continuation, the present article discusses more results on such spaces along with identification of round and sleek subsets of linear ...
arxiv  

Optimal classifier for imbalanced data using Matthews Correlation Coefficient metric

open access: yesPLoS ONE, 2017
Data imbalance is frequently encountered in biomedical applications. Resampling techniques can be used in binary classification to tackle this issue.
Sabri Boughorbel   +2 more
semanticscholar   +1 more source

Making tau amyloid models in vitro: a crucial and underestimated challenge

open access: yesFEBS Letters, EarlyView.
This review highlights the challenges of producing in vitro amyloid assemblies of the tau protein. We review how accurately the existing protocols mimic tau deposits found in the brain of patients affected with tauopathies. We discuss the important properties that should be considered when forming amyloids and the benchmarks that should be used to ...
Julien Broc, Clara Piersson, Yann Fichou
wiley   +1 more source

On the “third axiom of metric space”

open access: yes, 1927
1. In his thesis Frechett defines a metric spacet or class (D) as a class of elements, the relations among which are established by means of a function of pairs of elements of this class.
V. W. Niemytzki
semanticscholar   +1 more source

Identification of novel small molecule inhibitors of ETS transcription factors

open access: yesFEBS Letters, EarlyView.
ETS transcription factors play an essential role in tumourigenesis and are indispensable for sprouting angiogenesis, a hallmark of cancer, which fuels tumour expansion and dissemination. Thus, targeting ETS transcription factor function could represent an effective, multifaceted strategy to block tumour growth. The evolutionarily conserved E‐Twenty‐Six
Shaima Abdalla   +9 more
wiley   +1 more source

Ultrafilters on metric spaces

open access: yesTopology and its Applications, 2014
Let $X$ be an unbounded metric space, $B(x,r) = \{y\in X: d(x,y) \leqslant r\}$ for all $x\in X$ and $r\geqslant 0$. We endow $X$ with the discrete topology and identify the Stone- ech compactification $ X$ of $X$ with the set of all ultrafilters on $X$.
openaire   +3 more sources

Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces

open access: yesFixed Point Theory and Applications, 2008
We prove some fixed point results for mapping satisfying sufficient conditions on complete G-metric space, also we showed that if the G-metric space (X,G) is symmetric, then the existence and uniqueness of these fixed point results follow from well ...
Fadi Awawdeh   +2 more
doaj   +1 more source

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