Results 101 to 110 of about 642,101 (319)
Fixed Point Theorems in $ b$-Rectangular Metric Spaces
Universal Journal of Mathematics and Applications, 2020 The concept of $ b$-rectangular metric space is introduced as a generalization of $ b $-metric space and rectangular (generalized) metric space. In this paper, we introduce generalized almost contraction for two mappings and prove common fixed point ...
Vildan Öztürk
doaj +1 more source
Pressure type metrics on spaces of metric graphs [PDF]
, 2016 In this note, we consider two Riemannian metrics on a moduli space of metric graphs. Each of them could be thought of as an analogue of the Weil-Petersson metric on the moduli space of metric graphs. We discuss and compare geometric features of these two metrics with the "classic" Weil-Petersson metric in Teichm\"uller theory.
arxiv +1 more source
Applied General Topology, 2017 <div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span>Textures are point-set setting for fuzzy sets, and they provide a framework for the complement-free mathematical concepts. Further dimetric on textures is a gener- alization of classical metric spaces.
openaire +5 more sources
Molecular Oncology, EarlyView.Elevated level of cholesterol is positively correlated to prostate cancer development and disease severity. Cholesterol‐lowering drugs, such as statins, are demonstrated to inhibit prostate cancer. VNPP433‐3β interrupts multiple signaling and metabolic pathways, including cholesterol biosynthesis, AR‐mediated transcription of several oncogenes, mRNA 5′
Retheesh S. Thankan +10 more
wiley +1 more source
Balls in generalizations of metric spaces
Journal of Inequalities and Applications, 2016 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
Exploration of heterogeneity and recurrence signatures in hepatocellular carcinoma
Molecular Oncology, EarlyView.This study leveraged public datasets and integrative bioinformatic analysis to dissect malignant cell heterogeneity between relapsed and primary HCC, focusing on intercellular communication, differentiation status, metabolic activity, and transcriptomic profiles.
Wen‐Jing Wu +15 more
wiley +1 more source
Ultrametricity and metric betweenness in tangent spaces to metric spaces [PDF]
arXiv, 2009 The paper deals with pretangent spaces to general metric spaces. An ltrametricity criterion for pretangent spaces is found and it is closely related to the metric betweenness in the pretangent spaces.
arxiv
Journal of Modern Physics, 2013 Maxwell's equations are obeyed in a one-parameter group of isotropic gravity-free flat space-times whose metric depends upon the value of the group parameter. An experimental determination of this value has been proposed. If it is zero, the metric is Minkowski's.
openaire +4 more sources
Molecular Oncology, EarlyView.This article advocates integrating temporal dynamics into cancer research. Rather than relying on static snapshots, researchers should increasingly consider adopting dynamic methods—such as live imaging, temporal omics, and liquid biopsies—to track how tumors evolve over time.
Gautier Follain +3 more
wiley +1 more source
Metric spaces with unique pretangent spaces [PDF]
arXiv, 2009 We find necessary and sufficient conditions under which an arbitrary metric space $X$ has a unique pretangent space at the marked point $a\in X$. Key words: Metric spaces; Tangent spaces to metric spaces; Uniqueness of tangent metric spaces; Tangent space to the Cantor set.
arxiv