Results 141 to 150 of about 660,683 (355)

On the Distribution of the spt-Crank

Mathematics, 2013
Andrews, Garvan and Liang introduced the spt-crank for vector partitions. We conjecture that for any n the sequence {NS (m, n)}m is unimodal, where NS (m, n) is the number of S-partitions of size n with crank m weight by the spt-crank.
Robert C. Rhoades, Freeman J. Dyson, George E. Andrews   +2 more
doaj   +1 more source

Rectangle Partitions Generalizing Integer Partitions

Annals of Combinatorics
Abstract In this paper, we introduce a natural geometric extension of the partition function. More precisely, we investigate the problem of counting partitions of a rectangle into rectangular blocks with integer sides. Here, two partitions of a rectangle are indistinguishable if they consist of the same multiset of blocks, their ...
Krystian Gajdzica, Robin Visser, Maciej Zakarczemny   +2 more
openaire   +2 more sources

Aggregation and residuation [PDF]

In this paper, we give a characterization of meet-projections in simple atomistic lattices that generalizes results on the aggregation of partitions in cluster analysis.Aggregation theory, dependence relation, meet-projection, partition, residual map ...
Bruno Leclerc, Bernard Monjardet
core  

Relationship Between Neurologic Symptoms and Signs and FMR1 Genotype in Premutation Carriers

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Fragile X‐associated Tremor/Ataxia Syndrome (FXTAS) is the most severe late‐onset condition caused by a premutation in the FMR1 gene, characterized by expanded CGG triplet repeats of 55–200. Clinical presentations of FXTAS, including gait ataxia, kinetic tremor, cognitive decline, and rare Parkinsonism, are linked to ...
Flora Tassone, Freddy Chafota, Miguel E. Rentería, Randi J. Hagerman, Ellery Santos, Anna Atkinson, Nicholas G. Martin, Elsdon Storey, Danuta Z. Loesch   +8 more
wiley   +1 more source

Sum rules for permutations with fixed points involving Stirling numbers of the first kind

Indonesian Journal of Combinatorics
We propose sum rules for permutations pn(k) of the ensemble {1,2,...,n} with k fixed points, in the form of partial sums of their moments. The corresponding identities involve Stirling numbers of the first kind s(q,r).
Jean-Christophe Pain
doaj   +1 more source

High‐Resolution MRI Revealed Different Etiology‐Specific Associations With Cerebral Infarction in Adult Moyamoya Vasculopathy

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective High‐resolution MRI enables detailed assessment of intracranial vessel wall pathology in moyamoya vasculopathy. We aimed to classify adult moyamoya vasculopathy etiologies using high‐resolution MRI and to examine subtype‐specific associations between high‐resolution MRI features and ischemic infarction.
Guangsong Han, Jiachun Pan, Yuehui Hong, Xiaoyuan Fan, Ming Yao, Lixin Zhou, Yicheng Zhu, Feng Feng, Jun Ni   +8 more
wiley   +1 more source

Modular relations for the Rogers-Ramanujan-Slater type functions of order fifteen and its applications to partitions [PDF]

Romanian Journal of Mathematics and Computer Science, 2013
In a manuscript of Ramanujan, published with his Lost Notebook [20] there are forty identities involving the Rogers-Ramanujan functions. In this paper, we establish several modular relations involving the Rogers-Ramanujan functions and the Rogers ...
Chandrashekar Adiga, A. Vanitha, Nasser Abdo Saeed Bulkhali   +2 more
doaj  

Predictive Ability of Plasma p‐tau217 for β‐Amyloid Status: A Prospective Multicenter Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Plasma tau phosphorylated at threonine 217 (p‐tau217) measured with fully automated platforms has shown high accuracy for Alzheimer's disease (AD) diagnosis, but real‐world multicenter data remain limited. We aimed to validate the diagnostic performance of p‐tau217 for identifying AD pathology in a real‐world multicenter cohort ...
Miquel Massons, Nuria Guillen, Jordi Sarto, Neus Falgàs, Sergi Borrego‐Écija, Diana Esteller‐Gauxax, Magda Castellví, Adrià Tort‐Merino, Agnès Pérez‐Millan, Anna Antonell, Josep M. Augè Fradera, Gerard Piñol, Iolanda Riba, Anna Carnes‐Vendrell, Marta Cullell, Maria Teresa Osuna, Lorena Bajo, Teresa Romero, Eva Bonjoch, Joan Bello, Susana Fernández, Marta Balagué, Isabel Gómez‐Ruiz, Anuncia Boltes, Claustre Pont, Raquel Cuevas, Sara Carrillo, Laura Iglesias, Teresa Maria Casadevall Codina, Lorena Grau Guinea, Fernando Jose Espada, Raquel Sánchez‐Valle, Mircea Balasa, Albert Lladó   +33 more
wiley   +1 more source

White Matter Hyperintensity Burden and Short‐Interval Change Associated With Sleep Apnoea in the UK Biobank

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Purpose White matter hyperintensities (WMH) are a core neuroimaging marker of cerebral small vessel disease (CSVD). Sleep apnoea (SA) is a recognized vascular risk factor, but its associations with regional WMH burden, short‐interval WMH change and cognitive performance in population‐based cohorts remain incompletely defined. We
Peng Cheng, Diego Z. Carvalho, Shahid Karim, Anwar Chahal, Virend K. Somers   +4 more
wiley   +1 more source

The Tale of the Residual Tail: Insights From Continuous Intracranial Monitoring From Post‐Hippocampectomy Dynamics

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Subtotal hippocampal resection can leave residual hippocampal tissue, yet the immediate postoperative electrophysiologic evolution of such remnants is unknown. We describe a patient with drug‐resistant temporal lobe epilepsy in whom a hippocampal remnant was continuously monitored using a responsive neurostimulator (RNS) following subtotal ...
Patrick Hartnett, Syeda Amrah Hashmi, Amaan Qureshi, Heather Spader, Shayan Moosa, Ifrah Zawar   +5 more
wiley   +1 more source