Results 61 to 70 of about 10,799,493 (290)
AbstractWe introduce the abstract notion of an ordered differential field and show that some of the basic asymptotic growth properties of differentiable functions can be discussed within this setting. However, in order to ensure that log x → ∞ as x → ∞, we have to assume that the field of constants is archimedean.
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Design and analysis strategies for robust microbiome ageing research
The gut microbiome changes with age and associates with age‐related 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
Constructing lattice-ordered fields and division rings
Neumann's totally ordered power series fields and division rings may be tipped over to form archimedean lattice-ordered fields and division rings. This process is described and then generalised to produce non-archimedean lattice-ordered fields and ...
R. Redfield
semanticscholar +1 more source
Let \(D\) be a division ring with center \(F\) and an involution \(*\). In this paper the author studies a special class of Baer-orderings, so called weak \(*\)-orderings, on \(D\). One motivation for this is the fact that \(*\)- fields which are finite dimensional over their centers only admit \(*\)- orderings if they are trivial.
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A Higher-Order Calculus of Computational Fields [PDF]
The complexity of large-scale distributed systems, particularly when deployed in physical space, calls for new mechanisms to address composability and reusability of collective adaptive behaviour. Computational fields have been proposed as an effective abstraction to fill the gap between the macro-level of such systems (specifying a system’s collective
Audrito, Giorgio +4 more
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Conserved binding mode but diverse interfaces of MreC‐PBP2 interactions
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
wiley +1 more source
Quantum walks on graphs of the ordered Hamming scheme and spin networks
It is shown that the hopping of a single excitation on certain triangular spin lattices with non-uniform couplings and local magnetic fields can be described as the projections of quantum walks on graphs of the ordered Hamming scheme of depth 2.
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
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Coulombic antiferromagnet in spin-1/2 pyrochlores with dipole-octupole doublets
An exotic state of matter could coexist with conventional orders such that the gauge fields and fractionalized excitations could prevail in a seemingly ordered state.
Gang Chen
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Microbiome‐blood–brain barrier interactions in aging — mechanisms and therapeutic potential
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
wiley +1 more source
On the bosonic origin of the elastic constants of the solids
It is shown that the elastic compliances, sij, are defined, as the elastic stiffness constants, cij, by bosons. The constants cij are well-known to be given by the velocities of the sound waves, called here Debye-bosons. Sound waves are evidently elastic
Ulrich Köbler
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