Results 51 to 60 of about 2,763,716 (303)
The solution sets of extremal problems in š»Ā¹ [PDF]
Let u u be an essentially bounded function on the unit circle
openaire +1 more source
Asymptotic behavior of extremal solutions and structure of extremal norms of linear differential inclusions of order three [PDF]
Asymptotic properties of extremal solutions of linear inclusions of order three with zero Lyapunov exponent are investigated. Under certain conditions it is shown that all extremal solutions of such inclusions tend to the same (up to a multiplicative ...
Barabanov, N.E.
core +1 more source
The human gut microbiome across the life course
Despite significant individual variation and continuous change throughout life, the human gut microbiome follows some life stageāspecific trends. This article provides a brief overview of how gut microbiome composition shifts across different phases of life. Created in BioRender. Ćzkurt, E. (2026) https://BioRender.com/8q4nrnc.
Alise J. Ponsero +4 more
wiley +1 more source
Non-extremal fractional branes [PDF]
We construct non-extremal fractional D-brane solutions of type-II string theory at the Z_2 orbifold point of K3. These solutions generalize known extremal fractional-brane solutions and provide further insights into N=2 supersymmetric gauge theories and ...
Bertolini, M. +4 more
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Structural insights and therapeutic targets in Acinetobacter baumannii capsule biosynthesis
Hypervirulent KL49 A. baumannii's capsular polysaccharide contains the nonulosonic acid 8āepiāLeg5,7Ac2, synthesized by epimerization via ElaA, ElaB, and ElaC. Crystal structures of ElaA, ElaB, and ElaC reveal their role in CMPāLeg5,7Ac2 synthesis and regioselective C8 epimerization.
Woo Cheol Lee +7 more
wiley +1 more source
Infinity Laplace equation with non-trivial right-hand side
We analyze the set of continuous viscosity solutions of the infinity Laplace equation $-Delta^N_{infty}w(x) = f(x)$, with generally sign-changing right-hand side in a bounded domain.
Guozhen Lu, Peiyong Wang
doaj
Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with ageārelated morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
wiley +1 more source
Solving 1D crossing and QFT2/CFT1
We provide an effective solution of the 1D crossing equation. We begin by arguing that crossing constraints can be recast in terms of bases of sum rules associated to special sets of CFT data ā extremal solutions ā which solve these constraints in a ...
Kausik Ghosh +2 more
doaj +1 more source
Extremal problems related to convexity
We consider the extremal problem of maximizing functions u in the class of real-valued biconvex functions satisfying a boundary condition Ļ on a product of the unit ball with itself, with the ā p $\ell^{p}$ -norm. In 1986, Burkholder explicitly found the
Aimo Hinkkanen, Sineenuch Suwannaphichat
doaj +1 more source
Reconstructing enzyme evolution by protein engineering
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 ligandābinding scaffolds, developed varying substrate preferences, formed oligomeric complexes, adapted to environmental changes, and evolved novel ...
Lukas Drexler +2 more
wiley +1 more source

