Results 61 to 70 of about 21,674,610 (304)
A Dedekind criterion over valued fields
Let $(K, )$ be an arbitrary-rank valued field, $R_ $ its valuation ring, $K( )/K$ a separable finite field extension generated over $K$ by a root of a monic irreducible polynomial $f\in R_ [X]$. We give necessary and sufficient conditions for $R_ [ ]$ to be integrally closed.
El Fadil, L., Boulagouaz, M., Deajim, A.
openaire +2 more sources
Treatment Decision‐Making Roles and Preferences Among Adolescents and Young Adults With Cancer
ABSTRACT Background Decision‐making (DM) dynamics between adolescents and young adults (AYAs) with cancer, parents, and oncologists remain underexplored in diverse populations. We examined cancer treatment DM preferences among an ethnically and socioeconomically diverse group of AYAs and their parents.
Amanda M. Gutierrez +14 more
wiley +1 more source
Optimal Nonlinear Prediction of Random Fields on Networks [PDF]
It is increasingly common to encounter time-varying random fields on networks (metabolic networks, sensor arrays, distributed computing, etc.).This paper considers the problem of optimal, nonlinear prediction of these fields, showing from an information ...
Cosma Rohilla Shalizi
doaj +1 more source
Revealing the structure of land plant photosystem II: the journey from negative‐stain EM to cryo‐EM
Advances in cryo‐EM have revealed the detailed structure of Photosystem II, a key protein complex driving photosynthesis. This review traces the journey from early low‐resolution images to high‐resolution models, highlighting how these discoveries deepen our understanding of light harvesting and energy conversion in plants.
Roman Kouřil
wiley +1 more source
Henselian Valued Stable Fields
The author studies relations between the exponent and the index of a finite-dimensional central division algebra over a field \(E\) [cf. e.g. \textit{P. M. Cohn}, Algebra 3, J. Wiley (1991; Zbl 0719.00002), Ch. 7]. Thus \(E\) is called stable if the index equals the exponent for each such algebra, and \(E\) is called stable closed if all its finite ...
openaire +1 more source
Key polynomials for simple extensions of valued fields [PDF]
Let $\iota:K\hookrightarrow L\cong K(x)$ be a simple transcendental extension of valued fields, where $K$ is equipped with a valuation $\nu$ of rank 1. That is, we assume given a rank 1 valuation $\nu$ of $K$ and its extension $\nu'$ to $L$.
F. J. H. Govantes +3 more
semanticscholar +1 more source
Organoids in pediatric cancer research
Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
wiley +1 more source
The existential theory of equicharacteristic henselian valued fields [PDF]
We study the existential (and parts of the universal-existential) theory of equicharacteristic henselian valued fields. We prove, among other things, an existential Ax-Kochen-Ershov principle, which roughly says that the existential theory of an ...
Sylvy Anscombe, Arno Fehm
semanticscholar +1 more source
SOME PROPERTIES OF ANALYTIC DIFFERENCE VALUED FIELDS [PDF]
We prove field quantifier elimination for valued fields endowed with both an analytic structure that is $\unicode[STIX]{x1D70E}$ -Henselian and an automorphism that is $\unicode[STIX]{x1D70E}$ -Henselian.
Silvain Rideau
semanticscholar +1 more source
Fluorescent probes allow dynamic visualization of phosphoinositides in living cells (left), whereas mass spectrometry provides high‐sensitivity, isomer‐resolved quantitation (right). Their synergistic use captures complementary aspects of lipid signaling. This review illustrates how these approaches reveal the spatiotemporal regulation and quantitative
Hiroaki Kajiho +3 more
wiley +1 more source

