Results 51 to 60 of about 16,896 (218)
Algebra for Heckoid Groups [PDF]
We introduce an infinite collection of (Laurent) polynomials associated with a 2 2 -bridge knot or link normal form
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Cong Fu et al. demonstrate that glymphatic system dysfunction is linked to enhanced inhibitory cortical activity using diffusion MRI and EEG. These findings highlight a mechanistic link between perivascular fluid dynamics and neuronal activity, suggesting a role for glymphatic function in maintaining cortical stability in epilepsy.
Cong Fu +11 more
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ABSTRACT Multi‐supported non‐structural components (NSCs) are prone to seismic damage, yet their response prediction remains challenging when support motions are spatially incoherent. This study proposes an enhanced quasi‐static condensation (EQSC) method for linear, lightweight, dynamically detuned multi‐supported NSCs under the neglect of primary ...
Duozhi Wang +5 more
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ABSTRACT We present four novel tests of equal predictive accuracy and encompassing á Pitarakis (2023, 2025) for factor‐augmented regressions. Factors are estimated using cross‐section averages (CAs) of grouped series and our theoretical findings are empirically relevant: asymptotic normality, robustness to an overspecification of the number of factors,
Alessandro Morico, Ovidijus Stauskas
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Colourings of Uniform Group Divisible Designs and Maximum Packings
ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
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Laboratory tests must exhibit robustness to common sources of test variability, particularly for tests with the potential to inform treatment decisions. This study presents data that shows that a phased variant enrichment and detection sequencing (PhasED‐Seq)‐based circulating tumor DNA minimal residual disease (ctDNA‐MRD) test is robust, with results ...
Nina Klimova +7 more
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Signed Projective Cubes, a Homomorphism Point of View
ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
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Subalgebras of Group Algebras [PDF]
I. Let G be a locally compact group and m its Haar measure. For any m-measurable subset S of G, let L(S) be the subspace of L1(G) consisting of elements f such that fG\S If I dm =0. If S is a subsemigroup then L(S) is a subalgebra of L1(G). Various papers ([4], [5] and [7]) have been devoted to the study of L(S) and to the question of whether there is ...
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
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Precision Restoration to Minimize Soil Loss in a Watershed in the Atlantic Forest Domain
ABSTRACT The Turvo River Watershed, located in the Zona da Mata region of Minas Gerais and part of the Doce River Basin, faces serious problems of erosion and soil degradation, which compromise and reduce the quality of local water resources. Given this scenario, it is essential to implement environmental recovery strategies that prioritize the ...
Rodrigo Nobre Santana +6 more
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