Results 71 to 80 of about 11,325,403 (303)
, 1898 The photograph is shot from a higher path, looking down into a valley with groups of structures and a village; many (fruit?) trees are in bloom, and there are terraced fields throughout the valley; steep cliffs surround the valley.
Drake, N. F. (Noah Fields), 1864-1945
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Computation of relative integral bases for algebraic number fields
International Journal of Mathematics and Mathematical Sciences, 1988 At first we are given conditions for existence of relative integral bases for extension (K;k)=n. Then we will construct relative integral bases for extensions OK6(−36)/Ok2(−3), OK6(−36)/Ok3(−33), OK6(−36)/Z.
Mahmood Haghighi
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Modelling stem cell differentiation related processes—A practical overview for biologists
FEBS Letters, EarlyView.Stem cell differentiation is complex and difficult to control experimentally. This review introduces suitable computational modelling approaches that can support stem cell research, from mechanistic ODE and abstract models to multiscale and deep learning methods.
Ricco Zeegelaar +4 more
wiley +1 more source
Monogenity and Power Integral Bases: Recent Developments
AxiomsMonogenity is a classical area of algebraic number theory that continues to be actively researched. This paper collects the results obtained over the past few years in this area.
István Gaál
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.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
On the Monogenity of Totally Complex Pure Octic Fields
AxiomsLet 0,1≠m∈Z and α=m8. According to the results of Gaál and El Fadil, α generates a power integral basis in K=Q(α), if and only if m is square-free and m≢1(mod4).
István Gaál
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, 2016 The canonical covering maps from Hurwitz varieties to configuration varieties are important in algebraic geometry. The scheme-theoretic fiber above a rational point is commonly connected, in which case it is the spectrum of a Hurwitz number field. We study many examples of such maps and their fibers, finding number fields whose existence contradicts ...
openaire +3 more sources
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
wiley +1 more source
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
wiley +1 more source
On monogenity of certain pure number fields of degrees $2^r\cdot3^k\cdot7^s$ [PDF]
Mathematica BohemicaLet $K = \mathbb{Q} (\alpha) $ be a pure number field generated by a complex root $\alpha$ of a monic irreducible polynomial $ F(x) = x^{2^r\cdot3^k\cdot7^s} -m \in\bb{Z}[x]$, where $r$, $k$, $s$ are three positive natural integers.
Hamid Ben Yakkou, Jalal Didi
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