Results 11 to 20 of about 1,038,620 (334)
The harmonic knot [Formula: see text] is parametrized as [Formula: see text] where [Formula: see text], [Formula: see text] and [Formula: see text] are pairwise coprime integers and [Formula: see text] is the degree [Formula: see text] Chebyshev polynomial of the first kind. We classify the harmonic knots [Formula: see text] for [Formula: see text] We
Koseleff, Pierre-Vincent, Pecker, Daniel
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Abstract Positron emission tomography with x‐ray computed tomography (PET/CT) is increasingly being utilized for radiation treatment planning (RTP). Accurate delivery of RT therefore depends on quality PET/CT data. This study covers quality control (QC) procedures required for PET/CT for diagnostic imaging and incremental QC required for RTP.
Ran Klein+7 more
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Vascular endothelial‐cadherin as a marker of endothelial injury in preclinical Alzheimer disease
Abstract Objective Endothelial dysfunction is an early and prevalent pathology in Alzheimer disease (AD). We here investigate the value of vascular endothelial‐cadherin (VEC) as a cerebrospinal fluid (CSF) marker of endothelial injury in preclinical AD.
Rawan Tarawneh+5 more
wiley +1 more source
The harmonic polylogarithms (hpl's) are introduced. They are a generalization of Nielsen's polylogarithms, satisfying a product algebra (the product of two hpl's is in turn a combination of hpl's) and forming a set closed under the transformation of the arguments x=1/z and x=(1-t)/(1+t). The coefficients of their expansions and their Mellin transforms
Remiddi, Ettore+1 more
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Harmonizing results of ataxia rating scales: mFARS, SARA, and ICARS
Abstract The ever‐increasing body of ataxia research provides opportunities for large‐scale meta‐analyses, systematic reviews, and data aggregation. Because multiple standardized scales are used to quantify ataxia severity, harmonization of these measures is necessary for quantitative data pooling. We applied the modified Friedreich Ataxia Rating Scale
Christian Rummey+5 more
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COVID‐19 and the risk of Alzheimer's disease, amyotrophic lateral sclerosis, and multiple sclerosis
Abstract Background The coronavirus disease 2019 (COVID‐19) pandemic has had an unprecedented impact on the healthcare system, economy, and society. Studies have reported that COVID‐19 may cause various neurologic symptoms, including cognitive impairment.
Hanyu Zhang, Zengyuan Zhou
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Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
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Harmonicity of the inverse of a harmonic diffeomorphism
AbstractIn this paper we obtain a necessary and sufficient condition for the harmonicity of the inverse of a harmonic diffeomorphism. As an application, we give explicit representations of reversible logharmonic diffeomorphisms. As another application, we connect the harmonicity of the inverse of a hyperbolic harmonic quasiconformal diffeomorphism with
Xingdi Chen, Ainong Fang
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Harmonic Morphisms Projecting Harmonic Functions to Harmonic Functions [PDF]
For Riemannian manifolds M and N, admitting a submersion ϕ with compact fibres, we introduce the projection of a function via its decomposition into horizontal and vertical components. By comparing the Laplacians on M and N, we determine conditions under which a harmonic function on U = ϕ−1(V) ⊂ M projects down, via its horizontal component, to a ...
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