Results 121 to 130 of about 480,204 (279)

Algebraic number theory [PDF]

open access: green, 2006
Charles W. Curtis, Irving Reiner
openalex   +1 more source

Commuting Pairs in Quasigroups

open access: yesJournal of Combinatorial Designs, EarlyView.
ABSTRACT A quasigroup is a pair (Q,∗) $(Q,\ast )$, where Q $Q$ is a nonempty set and ∗ $\ast $ is a binary operation on Q $Q$ such that for every (a,b)∈Q2 $(a,b)\in {Q}^{2}$, there exists a unique (x,y)∈Q2 $(x,y)\in {Q}^{2}$ such that a∗x=b=y∗a $a\ast x=b=y\ast a$. Let (Q,∗) $(Q,\ast )$ be a quasigroup. A pair (x,y)∈Q2 $(x,y)\in {Q}^{2}$ is a commuting
Jack Allsop, Ian M. Wanless
wiley   +1 more source

Maximum Shattering

open access: yesJournal of Combinatorial Designs, EarlyView.
ABSTRACT A family ℱ ${\rm{ {\mathcal F} }}$ of subsets of [ n ] = { 1 , 2 , … , n } $[n]=\{1,2,\ldots ,n\}$ shatters a set A ⊆ [ n ] $A\subseteq [n]$ if for every A ′ ⊆ A ${A}^{^{\prime} }\subseteq A$, there is an F ∈ ℱ $F\in {\rm{ {\mathcal F} }}$ such that F ∩ A = A ' $F\cap A={A}^{\text{'}}$.
Noga Alon   +2 more
wiley   +1 more source

Cognition–Eye–Brain Connection in Alzheimer's Disease Spectrum Revealed by Multimodal Imaging

open access: yesJournal of Magnetic Resonance Imaging, EarlyView.
ABSTRACT Background The connection between cognition, eye, and brain remains inconclusive in Alzheimer's disease (AD) spectrum disorders. Purpose To explore the relationship between cognitive function, retinal biometrics, and brain alterations in the AD spectrum. Study Type Prospective.
Yan Shi   +12 more
wiley   +1 more source

Mapping Skid Trails and Evaluating Soil Disturbance From UAV‐Based LiDAR Surveys in Mediterranean Forests

open access: yesLand Degradation &Development, EarlyView.
ABSTRACT Soil disturbance resulting from forest harvesting activities can have significant and lasting environmental consequences, particularly in sensitive ecosystems such as Mediterranean forests. Skid trails, the routes used by machinery to extract timber, are among the most critical areas of impact, and their detection is critical for assessing ...
Francesco Latterini   +9 more
wiley   +1 more source

Extended Learning Robustness for High‐Fidelity Human Face Imaging from Spatiotemporally Decorrelated Speckles

open access: yesLaser &Photonics Reviews, EarlyView.
A GAN‐based framework is proposed that tackles spatiotemporal instabilities of scattering media and addresses decorrelation between training and testing data (no overlap between their collection periods). The trained GAN non‐holographically retrieves high‐fidelity human face images from unstable scattering media and effectively addresses speckle ...
Qi Zhao   +12 more
wiley   +1 more source

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