Results 91 to 100 of about 131,872 (281)

Linearization and connection coefficients of orthogonal polynomials [PDF]

Monatshefte f�r Mathematik, 1992
Let \(\{P_ n\}_{n=0}^ \infty\) be a system of orthogonal polynomials. R. Lasser observed that if the linearization coefficients of \(\{P_ n\}_{n=0}^ \infty\) are nonnegative then each of the \(P_ n\) is a linear combination of the Tchebyshev polynomials with nonnegative coefficients. The aim of this paper is to give a partial converse to this statement.
openaire   +1 more source

Normal‐Appearing White Matter Injury Mediates Chronic Deep Venous Hypoxia and Disease Progression in Multiple Sclerosis

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To explore how cerebral hypoxia and Normal‐Appearing White Matter (NAWM) integrity affect MS lesion burden and clinical course. Methods Seventy‐nine MS patients, including 13 clinically isolated syndrome (CIS) patients and 66 relapsing–remitting multiple sclerosis (RRMS) patients, and 44 healthy controls (HCs) were recruited from ...
Xinli Wang, Huiying Wang, Zhizheng Zhuo, Ai Guo, Ke Lv, Decai Tian, Chao Chai, Yunyun Duan, Shuang Xia   +8 more
wiley   +1 more source

Arithmetic Levi-Civita connection [PDF]

, 2019
This paper is part of a series of papers where an arithmetic analogue of classical differential geometry is being developed. In this arithmetic differential geometry functions are replaced by integer numbers, derivations are replaced by Fermat quotient ...
Buium, A.
core   +1 more source

Elevated Connectivity During Language Processing Is Associated With Cognitive Performance in SeLECTS

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Self‐Limited Epilepsy with Centrotemporal Spikes (SeLECTS) is associated with language impairments despite seizures originating in the motor cortex, suggesting aberrant cross‐network interactions. Here we tested whether functional connectivity in SeLECTS during language tasks predicts language performance.
Wendy Qi, Katharine Lee, Kerry C. Nix, Miguel Menchaca, Xiwei Shé, Lorelei Santa Maria, Wei Wu, Zihuai He, Fiona M. Baumer   +8 more
wiley   +1 more source

On the structure of connection coefficients for hypergeometric systems

Hiroshima Mathematical Journal, 1988
This paper is concerned with the connection problem for the so-called hypergeometric system \((tI-B)\dot X=AX,\) \(\dot X=dX/dt\), with t complex, and the linear system of difference equations \((B-\lambda I)(z+1)G(z+1)=(zI-A)G(z),\) where X stands for an n-dimensional column vector, A denotes a square matrix of order n, B is a diagonal matrix of order
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On the arithmetic nature of coefficients of multiplicative eta-functions

Вестник Самарского университета: Естественнонаучная серия
In the article we study the arithmetic nature of the coefficients of multiplicative eta-products, also called McKay functions. For some functions it is possible to establish Hecke correspondence between the coefficients of McKay and Hecke grossen ...
G. V. Voskresenskaya
doaj   +1 more source

Choroid Plexus Enlargement and USPIO‐Based Inflammatory Feature in Cerebral Small Vessel Disease

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective The choroid plexus (CP) is a key component of the blood–cerebrospinal fluid barrier (BCSFB), but its mechanism of action in cerebral small vessel disease (CSVD) remains unclear. This study investigated CP volume (CPV) alterations and their association with conventional imaging markers in CSVD and explored the underlying role of ...
Yongqiang Qu, Xiaoning Ren, Cuihua Fan, Chun Li, Lijie Zhang, Zaiqiang Zhang, Shaowu Li, Zhongmeng Lai, Bin Cai, Ying Fu, Yi Lin, Zhibao Zhu   +11 more
wiley   +1 more source

Memory and Resting‐State Connectivity in Acute Transient Global Amnesia: A Case–Control fMRI Study

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background and Objectives Transient global amnesia (TGA) is a striking model of isolated amnesia. While hippocampal lesions are well described, the network‐level mechanisms and the precise neuropsychological profile remain debated. Our objective was thus to characterize functional and neuropsychological correlates of acute TGA and their ...
Elias El Otmani, Emmanuel Barbeau, Béatrice Lemesle, Emilie Milongo‐Rigal, Sophie Fernandez, Sandrine Charpentier, Jean‐François Albucher, Nicolas Raposo, Fabrice Bonneville, Patrice Péran, Jérémie Pariente   +10 more
wiley   +1 more source

The Enriquez connection for higher genus polylogarithms

Journal of High Energy Physics
We study the variation of the Enriquez connection for higher genus polylogarithms under degenerations of Riemann surfaces with marked points, and show that this connection becomes the connection constructed by the author for degenerating families of ...
Takashi Ichikawa
doaj   +1 more source

Quadratically Weighted Agreement Coefficients: Interpretations and Connections

Psychometrika
Abstract In this study, we review interpretations and connections of chance-corrected agreement coefficients with quadratic weights, applicable when raters classify objects or subjects on an ordinal scale. Whereas correlation interpretations exist for coefficients with noninterchangeable raters, represented by Cohen’s two-rater and ...
Rutger, van Oest, Jonas, Moss
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