Results 111 to 120 of about 7,704,065 (318)
Configuration spaces of thick particles on graphs [PDF]
In this thesis, we study the topology of configuration spaces of particles of variable radius r>0 moving on a metric graph. Our main tool is a piecewise linear (PL) Morse-Bott theory for affine polytope complexes, which extends the Morse theory for such ...
DEELEY, KENNETH
core
On some results in fuzzy metric spaces
We define a Hausdorff topology on a fuzzy metric space introduced by Kramosil and Michalek [Kybernetica 11 (1975) 326–334] and prove some known results of metric spaces including Baire's theorem for fuzzy metric spaces.
A. George, P. Veeramani
semanticscholar +1 more source
Synergistic perspectives—How single‐molecule biophysics complement biochemical understanding
In this review, we discuss how ensemble biochemistry and single‐molecule approaches are complementary, outline commonly used single‐molecule techniques, and illustrate their relevance through two representative case studies: chromatin organization by SMC complexes and pathway choice during DNA double‐strand break repair.
Sara De Bragança +2 more
wiley +1 more source
METRIC PROJECTIONS IN LINEAR METRIC SPACES
Summary: Various properties of the metric projection are known in normed linear spaces. \textit{G. Pantelidis} [Math. Ann. 184, 30--48 (1969; Zbl 0175.42001)] discussed some of these properties in linear metric spaces. In this paper we also discuss some necessary and sufficient conditions for the metric projections to be continuous and Lipschitzian in ...
openaire +1 more source
Encapsulins are protein nanocompartments that play an important role in iron storage. In the Myxococcus xanthus encapsulin system, two cargo proteins called EncB and EncC contribute to iron mineralization. Here, we show that EncB and EncC generate iron‐containing minerals with distinct chemical compositions, suggesting that the composition of stored ...
Harry B. McDowell +2 more
wiley +1 more source
Some remarks on bv(s)-metric spaces and fixed point results with an application
We compare the newly defined bv(s)-metric spaces with several other abstract spaces like metric spaces, b-metric spaces and show that some well-known results, which hold in the latter class of spaces, may not hold in bv(s)-metric spaces.
Hiranmoy Garai +3 more
doaj +1 more source
Structural and biochemical analysis of a B12 superbinder
BtuG proteins are vitamin B12 scavengers in Bacteroides thetaiotaomicron, a dominant human gut bacterium. We present crystal structures of three BtuG homologs bound to cobalamin and its precursor cobinamide, revealing picomolar binding affinities, among the highest known for any natural protein.
Jose M. Martinez Felices +3 more
wiley +1 more source
Mycobacterial 3‐methylcrotonyl‐CoA carboxylase uses a mobile biotin‐carrying domain to shuttle a carboxyl group between two catalytic sites, enabling carboxylation of 3‐methylcrotonyl‐CoA during leucine breakdown. Cryo‐electron microscopy captures the carrier at both sites and reveals an inward loop movement that may prevent futile rebinding to the ...
Ajit Yadav +2 more
wiley +1 more source
On multiplicative modular metric spaces of Kaplan et al.: corrections and clarifications
Kaplan et al. (J. Inequal. Appl. 2025:54, 2025) introduced the notion of multiplicative modular metric spaces, motivated by the framework of multiplicative metric spaces (Özavşar and Cevikel in J. Eng. Technol. Appl. Sci.
Satit Saejung
doaj +1 more source
A Version of the Hahn-Banach Theorem for R-Vector Spaces [PDF]
Recently, $R$-metric spaces have been introduced to generalized metric spaces. This extension is based on the construction of a new universe with interesting properties.
Azadeh Alijani +2 more
doaj +1 more source

