Results 101 to 110 of about 1,039 (297)
Supersymmetry for integrable hierarchies on loop superalgebras
, 2005 An algebraic approach is employed to formulate N = 2 supersymmetry transformations in the context of integrable systems based on loop superalgebras sl(p + 1, p), p >= 1, with homogeneous gradation.
Gomes, J. F. +4 more
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Functional representations of integrable hierarchies
, 2006 We consider a general framework for integrable hierarchies in Lax form and derive certain universal equations from which 'functional representations' of particular hierarchies (like KP, discrete KP, mKP, AKNS), i.e.
Dimakis, Aristophanes +1 more
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Value of MRI Outcomes for Preventive and Early‐Stage Trials in Spinocerebellar Ataxias 1 and 3
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective To examine the value of MRI outcomes as endpoints for preventive and early‐stage trials of two polyglutamine spinocerebellar ataxias (SCAs). Methods A cohort of 100 participants (23 SCA1, 63 SCA3, median Scale for the Assessment and Rating of Ataxia (SARA) score = 5, 42% preataxic, and 14 gene‐negative controls) was scanned at 3T up ...
Thiago J. R. Rezende +26 more
wiley +1 more source
, 2010 Discrete integrable coupling hierarchies of two existing integrable lattice families are derived from a four by four discrete matrix spectral problem. It is shown that the obtained integrable coupling hierarchies respectively corresponds to negative and
XI-XIANG XU
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Electric network and Hirota type 4-simplex maps
Journal of High Energy PhysicsBazhanov-Stroganov (4-simplex) maps are set-theoretical solutions to the 4-simplex equation, namely the fourth member of the family of n-simplex equations, which are fundamental equations of mathematical physics.
S. Konstantinou-Rizos
doaj +1 more source
T1 Over Squared Proton Density Ratio to Characterize Multiple Sclerosis Lesions
Annals 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
Toda lattice realization of integrable hierarchies
, 1996 We present a new realization of scalar integrable hierarchies in terms of the Toda lattice hierarchy. In other words, we show on a large number of examples that an integrable hierarchy, defined by a pseudo-differential Lax operator, can be embedded in ...
Constantinidis, C. P. +2 more
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Neighborhood Socioeconomic Status and Short‐Term Functional Outcomes in Systemic Lupus Erythematosus
Arthritis Care &Research, EarlyView.Objective Individuals with systemic lupus erythematosus (SLE) can accumulate functional status (FS) impairment. We evaluated the association between neighborhood socioeconomic disadvantage, as measured by the Area Deprivation Index (ADI), and FS in a national SLE sample.
Baljeet Rai +7 more
wiley +1 more source
INTEGRABLE COUPLINGS OF MULTI-COMPONENT AKNS–KAUP–NEWELL EQUATIONS HIERARCHIES
, 2010 In this paper, hierarchies of multi-component AKNS–Kaup–Newell equations are derived, including positive nonisospectral AKNS–Kaup–Newell hierarchy and negative nonisospectral AKNS–Kaup–Newell hierarchy.
JIAN-BING ZHANG, JIE JI, DENG-YUAN CHEN
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