Results 101 to 110 of about 2,213,198 (296)
IFAC-PapersOnLineOn a manifold or a closed subset of a Euclidean vector space, a retraction enables to move in the direction of a tangent vector while staying on the set. Retractions are a versatile tool to perform computational tasks such as optimization, interpolation, and numerical integration.
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, 2012 A new class of fuzzy closed sets, namely fuzzy weakly closed set in a fuzzy topological space is introduced and it is established that this class of fuzzy closed sets lies between fuzzy closed sets and fuzzy generalized closed sets. Alongwith the study of fundamental results of such closed sets, we define and characterize fuzzy weakly compact space and
Mahanta, J., Das, P. K.
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Reconstructing enzyme evolution by protein engineering
FEBS Letters, EarlyView.Natural enzyme evolution can be retraced by protein engineering methods such as directed evolution, rational design, and ancestral sequence reconstruction. These approaches reveal how enzymes emerged from ligand‐binding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
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(1,2) *-D*-closed sets and (1,2) *-D**-closed sets in ideal bitopological spaces
, 2022 In this paper, we introduce the notion of (1,2)*-D*-closed sets and (1,2)*-D**-closed sets in ideal bitopological spaces. Additionally, we examine the characteristics of the novel concepts and contrast them with preexisting ...
P., Deviprabha., Asokan, Dr. R.
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Applied General TopologyWe consider properties of the diagonal of a continuum that are used later in the paper. We continue the study of T-closed subsets of a continuum X. We prove that for a continuum X, the statements: ΔX is a nonblock subcontinuum of X2, ΔX is a shore ...
Javier Camargo, Sergio Macías
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Discrete Mathematics, 1999 A finite family \(F\) of sets is called union-closed if \(A\cup B \in F\) whenever \(A,B\in F\). Let \(u(n)\) be the maximum number such that for each union-closed family \(F\) with \(n\) sets there exists an element \(x\) which is contained in at least \(u(n)\) members of \(F\). Frankl conjectured that \(u(n)\geq n/2\) for \(n\geq 2\).
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Members of Random Closed Sets [PDF]
, 2009 The members of Martin-Lof random closed sets under a distribution studied by Barmpalias et al. are exactly the infinite paths through Martin-Lof random Galton-Watson trees with survival parameter $\frac{2}{3}$. To be such a member, a sufficient condition is to have effective Hausdorff dimension strictly greater than $\gamma=\log_2 \frac{3}{2}$, and a ...
David Diamondstone, Bjørn Kjos-Hanssen
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Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
FEBS Letters, EarlyView.The crystal structure of abMreC reveals a conserved two β‐barrel architecture and provides structural insights into its role within the bacterial elongasome. The abMreC–abPBP2 complex model identifies the molecular basis of MreC‐mediated PBP2 recognition, contributing to the regulation of peptidoglycan synthesis.
Hyunseok Jang +4 more
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A note on θ-generalized closed sets
International Journal of Mathematics and Mathematical Sciences, 2001 The purpose of this note is to strengthen several results in the literature concerning the preservation of θ-generalized closed sets. Also conditions are established under which images and inverse images of arbitrary sets are θ-generalized closed.
C. W. Baker
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
FEBS Letters, EarlyView.Aging reshapes the gut microbiome (↓SCFA‐producing commensals; ↑pro‐inflammatory outputs), shifting circulating metabolites (↓SCFAs; ↑LPS, ↑TMAO, ↑PAA) that act at the BBB to increase nonspecific transcytosis, alter transport, and promote astrocyte reactivity, heightening brain vulnerability.
Daniel Cuervo‐Zanatta +3 more
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