Results 81 to 90 of about 10,069,733 (332)

The characteristic polynomial of a random unitary matrix and Gaussian multiplicative chaos - The $L^2$-phase [PDF]

open access: yes, 2014
We study the characteristic polynomial of Haar distributed random unitary matrices. We show that after a suitable normalization, as one increases the size of the matrix, powers of the absolute value of the characteristic polynomial as well as powers of ...
Christian Webb
semanticscholar   +1 more source

Characteristic polynomial of catacondensed systems

open access: yes, 2003
The characteristic polynomial of a graph G is defined as det(xI−A), where I is the identity matrix and A is the adjacency matrix of G. Based on reduction procedures, we show that the characteristic polynomial of a catacondensed system can be obtained ...
Rada, Juan
core   +1 more source

Evaluation of Digital Technologies for Home‐Based Assessment in People With Amyotrophic Lateral Sclerosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Digital technologies hold promise for transforming healthcare by enhancing personalized treatments and offer valuable opportunities to improve patient care. Here, we evaluated several novel, self‐administered, home‐based, digital endpoints for their association with corresponding conventional standard clinical measures (primary) in ...
Arne Mueller   +14 more
wiley   +1 more source

Some Applications of Generalized Char-Sets of Ordinary Differential Polynomial Sets

open access: yesMATEC Web of Conferences, 2016
The notion of characteristic sets, which are a special kind of triangular sets, is introduced by J. F Ritt and W.T. Wu. Wu extended Ritt’s work and developed the characteristic set method not only in theory but in algorithms, efficiency and its numerous ...
Afzal Farkhanda
doaj   +1 more source

A Two‐Stage Questionnaire and Actigraphy Screening for iRBD in a Multicenter Retrospective Cohort

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Isolated rapid‐eye‐movement sleep behavior disorder is a prodromal marker of synucleinopathies. However, most cases remain undiagnosed due to the insufficient predictive value of questionnaires and limited access to confirmatory video‐polysomnography. We assessed a two‐stage screening strategy combining a brief questionnaire on rapid‐
Caleb A. Massimi   +17 more
wiley   +1 more source

T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Differentiating remyelinated from demyelinated lesions in MS remains challenging without histological confirmation. This study introduces the T1‐to‐PD2 ratio (TPR) imaging approach and evaluates its ability to characterize MS lesions alongside other quantitative MRI (qMRI) metrics. Methods Thirty individuals with MS (mean age: 47.5 ± 
Sarah J. Wright   +10 more
wiley   +1 more source

On the characteristic polynomial of ( k , p ) $(k,p)$ -Fibonacci sequence

open access: yesAdvances in Difference Equations, 2021
Recently, Bednarz introduced a new two-parameter generalization of the Fibonacci sequence, which is called the ( k , p ) $(k,p)$ -Fibonacci sequence and denoted by ( F k , p ( n ) ) n ≥ 0 $(F_{k,p}(n))_{n\geq0}$ .
Pavel Trojovský
doaj   +1 more source

The characteristic polynomial of the Adams operators on graded connected Hopf algebras [PDF]

open access: yes, 2014
The Adams operators $\Psi_n$ on a Hopf algebra $H$ are the convolution powers of the identity of $H$. We study the Adams operators when $H$ is graded connected. They are also called Hopf powers or Sweedler powers.
M. Aguiar, A. Lauve
semanticscholar   +1 more source

Long‐Term Neurologic Exam Findings in People Diagnosed and Treated During Acute HIV Infection

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Evaluate clinical and laboratory correlates of abnormal neurologic exam findings after acute HIV infection (AHI). Methods Participants from the RV254/SEARCH 010 cohort in Bangkok underwent standardized neurologic examinations at Weeks 0 (AHI), 12, 96, and 288 following antiretroviral therapy (ART).
Kathryn B. Holroyd   +118 more
wiley   +1 more source

A Simple Model of Ballistic Conduction in Multi-Lead Molecular Devices

open access: yesApplied Sciences, 2021
A fully analytical model is presented for ballistic conduction in a multi-lead device that is based on a π-conjugated carbon framework attached to a single source lead and several sink leads. This source-and-multiple-sink potential (SMSP) model is rooted
Patrick W. Fowler, Barry T. Pickup
doaj   +1 more source

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