Results 61 to 70 of about 19,413 (252)
DIEUDONNÉ DETERMINANTS FOR SKEW POLYNOMIAL RINGS [PDF]
We observe that the Dieudonné determinant induces a non-negative degree function on the ring of matrices over a skew polynomial ring. We then apply this degree function to two examples. In the first one, we find an expression for the rank of the kernel of an algebraic endomorphism of [Formula: see text] over a field of characteristic p > 0.
openaire +2 more sources
This study provides an introduction to Bayesian optimisation targeted for experimentalists. It explains core concepts, surrogate modelling, and acquisition strategies, and addresses common real‐world challenges such as noise, constraints, mixed variables, scalability, and automation.
Chuan He +2 more
wiley +1 more source
MusicSwarm: Biologically Inspired Intelligence for Music Composition
Biologically inspired swarms of frozen foundation models self‐organize to compose complex music without fine‐tuning. By coordinating through stigmergic signals, decentralized agents dynamically evolve specialized roles and adapt to solve complex tasks.
Markus J. Buehler
wiley +1 more source
Objective Immunothrombosis contributes to ischemic stroke pathophysiology through neutrophil extracellular trap (NET) formation, which promotes thrombus stabilization and microvascular dysfunction. DNase1 is the principal endonuclease responsible for NET degradation.
B. Díaz‐Benito +10 more
wiley +1 more source
Abstract Dental microwear texture analysis (DMTA) has emerged as a valuable method for investigating the feeding ecology of vertebrates. Over the past decade, three‐dimensional topographic data from microscopic regions of tooth surfaces have been collected, and surface texture parameters have been published for both extant and fossil species.
Mugino O. Kubo +4 more
wiley +1 more source
On Nilpotent Elements of Skew Polynomial Rings
We study the structure of the set of nilpotent elements in skew polynomial ring R[x; α], when R is an α-Armendariz ring. We prove that if R is a nil α-Armendariz ring and α t = IR, then the set of nilpotent elements of R is an α-compatible subrng of ...
J. Esmaeili, E. Hashemi
doaj
ABSTRACT Understanding how pancreas size and shape change with normal aging is critical for establishing a baseline to detect deviations in type 2 diabetes and other pancreatic disease. We measure pancreas size and shape using morphological measurements from early development through aging (ages 0–90).
Lucas W. Remedios +13 more
wiley +1 more source
Skew cyclic codes over 𝔻4R and their applications to DNA codes construction
The fundamental aim of this research is to analyze the configuration of 𝔽4R submodules, skew cyclic codes over 𝔽4R and establish their connection with DNA codes, where 𝔽4 is a field of order 4 and R = 𝔽4 + u𝔽4 + v𝔽4 + w𝔽4 with u2 = u, v2 = v, w2 = w, uv =
Rehman Nadeem ur +2 more
doaj +1 more source
Decoding Emotional Signatures of Ethical Ads: An Analysis of Actor‐Viewer Synchrony
ABSTRACT We examine whether ethical advertisements differ from conventional ads in their on‐screen emotional signatures and whether those signatures transfer to actor‐viewer synchrony. Study 1 analyses 138 professionally produced YouTube ads using Automated Facial Expression Recognition (AFER) and Convolutional Neural Networks (CNN) to quantify actor ...
Vik Naidoo, Nicolas Hamelin
wiley +1 more source
Prime ideals of skew polynomial rings and skew Laurent polynomial rings
Let \(S=R[X,X^{-1};\rho]\) be a skew Laurent polynomial ring over a ring \(R\) with automorphism \(\rho\). The authors characterize those prime ideals \(P\) of \(S\) with \(P\cap R=0\) in terms of irreducible polynomials over the centre of \(Q[X,X^{-1};\rho]\), where \(Q\) is the right Martindale quotient of \(R\) with respect to the filter of non-zero
Cisneros, Eduardo +2 more
openaire +3 more sources

