Results 111 to 120 of about 5,912,088 (357)
Tangent spaces to metric spaces and to their subspaces [PDF]
arXiv, 2009 We investigate a tangent space at a point of a general metric space and metric space valued derivatives. The conditions under which two different subspace of a metric space have isometric tangent spaces in a common point of these subspaces are completely determinated.
arxiv
FEBS Letters, EarlyView.Most MmpLs transport lipids and glycolipids of the complex mycomembrane of mycobacteria. This study shows that MmpL10 from Mycobacterium smegmatis, the transporter of the trehalose polyphosphate precursor, harbors a coiled‐coil‐like extension. Biochemical and electron microscopy studies demonstrate that the coiled‐coil enables MmpL10 to trimerize.
Julie Couston +7 more
wiley +1 more source
The metric of colour space [PDF]
Graphical Models, 2015 Display Omitted The space of colours is a fascinating space. It is a real vector space, but no matter what inner product you put on the space the resulting Euclidean distance does not correspond to human perception of difference between colours.In 1942 MacAdam performed the first experiments on colour matching and found the MacAdam ellipses which are ...
openaire +3 more sources
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
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
Evolutionary interplay between viruses and R‐loops
FEBS Letters, EarlyView.Viruses interact with specialized nucleic acid structures called R‐loops to influence host transcription, epigenetic states, latency, and immune evasion. This Perspective examines the roles of R‐loops in viral replication, integration, and silencing, and how viruses co‐opt or avoid these structures.
Zsolt Karányi +4 more
wiley +1 more source
Journal of Functional Analysis, 2023 This article continues the investigation of the tracial geometry of classifiable $\mathrm{C}^*$-algebras that have real rank zero and stable rank one. Using the language of optimal transport, we describe several situations in which the distance between unitary orbits of $^*$-homomorphisms into such algebras can be computed in terms of tracial data. The
openaire +2 more sources
, 2012 We establish a fixed point theorem for nonlinear contraction in a complete partial metric space. Our result generalizes the Banach type fixed point theorem in a partial metric space in the sense of Matthews. c ©2012 NGA. All rights reserved.
W. Shatanawi, H. Nashine
semanticscholar +1 more source
Disruption of SETD3‐mediated histidine‐73 methylation by the BWCFF‐associated β‐actin G74S mutation
FEBS Letters, EarlyView.The β‐actin G74S mutation causes altered interaction of actin with SETD3, reducing histidine‐73 methylation efficiency and forming two distinct actin variants. The variable ratio of these variants across cell types and developmental stages contributes to tissue‐specific phenotypical changes. This imbalance may impair actin dynamics and mechanosensitive
Anja Marquardt +8 more
wiley +1 more source