Results 81 to 90 of about 156,745 (293)
Kissing number in hyperbolic space
, 2019 This paper provides upper and lower bounds on the kissing number of congruent radius $r > 0$ spheres in $\mathbb{H}^n$, for $n\geq 2$. For that purpose, the kissing number is replaced by the kissing function $ (n, r)$ which depends on the radius $r$.
Dostert, Maria, Kolpakov, Alexander
openaire +2 more sources
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective The Gold Coast criteria permit diagnosis of amyotrophic lateral sclerosis (ALS) even without upper motor neuron (UMN) signs. However, whether ALS patients with UMN signs (ALSwUMN) and those without (ALSwoUMN) share similar characteristics and prognoses remains unclear.
Hee‐Jae Jung +7 more
wiley +1 more source
On scaled hyperbolic numbers induced by scaled hyperbolic rings
, 2023 In this paper, we generalize the well-known hyperbolic numbers to certain numeric structures scaled by the real numbers. Under our scaling of $\mathbb{R}$, the usual hyperbolic numbers are understood to be our 1-scaled hyperbolic numbers. If a scale $t$ is not positive in $\mathbb{R}$, then our $t$-scaled hyperbolic numbers have similar numerical ...
Alpay, Daniel, Cho, Ilwoo
openaire +2 more sources
On the arithmetic of crossratios and generalised Mertens' formulas
, 2013 We develop the relation between hyperbolic geometry and arithmetic equidistribution problems that arises from the action of arithmetic groups on real hyperbolic spaces, especially in dimension up to 5.
Parkkonen, Jouni, Paulin, Frédéric
core +3 more sources
Real‐World Performance of CSF Kappa Free Light Chains in the 2024 McDonald Criteria
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Kappa free light chains (KFLCs) in the cerebrospinal fluid (CSF) have a similar performance to CSF‐restricted oligoclonal bands (OCB) for multiple sclerosis (MS) diagnosis. To help with implementation, we set out to resolve several remaining uncertainties: (1) performance in a real‐world cohort and the 2024 McDonald criteria; (2 ...
Maya M. Leibowitz +11 more
wiley +1 more source
Almost quarter-pinched K\"ahler metrics and Chern numbers
, 2009 We prove that compact K\"ahler manifolds whose sectional curvatures are close to 1/4-pinched have ratios of Chern numbers close to the corresponding ratios of a complex hyperbolic space form.
Deraux, Martin, Seshadri, Harish
core +1 more source
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To investigate the value of constructing models based on habitat radiomics and pathomics for predicting the risk of progression in high‐grade gliomas. Methods This study conducted a retrospective analysis of preoperative magnetic resonance (MR) images and pathological sections from 72 patients diagnosed with high‐grade gliomas (52 ...
Yuchen Zhu +14 more
wiley +1 more source
On Mersenne Numbers and their Bihyperbolic Generalizations
Annales Mathematicae SilesianaeIn this paper, we introduce Mersenne and Mersenne–Lucas bihyperbolic numbers, i.e. bihyperbolic numbers whose coefficients are consecutive Mersenne and Mersenne–Lucas numbers.
Bród Dorota, Szynal-Liana Anetta
doaj +1 more source
Arthritis Care &Research, EarlyView.Objective This study examined the global and regional temporal changes in cross‐country inequalities of site‐specific osteoarthritis (OA) burden from 1990 to 2021. Methods Age‐standardized years lived with disability rates (ASYRs) for site‐specific OA across 204 countries and territories were obtained from the Global Burden of Diseases, Injuries, and ...
Haowei Chen +14 more
wiley +1 more source
Arthritis Care &Research, EarlyView.Objective The aim of this systematic review was to synthesize the economic impact of rheumatoid arthritis (RA) on households, health systems, and society in low‐ and middle‐income countries (LMICs). Methods Electronic databases such as PubMed, Web of Science, and CINAHL were searched using keywords related to RA and cost of illness.
Tadesse Gebrye +6 more
wiley +1 more source