Results 201 to 210 of about 827,554 (312)

Word equations where a power equals a product of powers

open access: yes, 2017
We solve a long-standing open problem on word equations by proving that if the words x_0, ..., x_n satisfy the equation x_0^k = x_1^k ... x_n^k for three positive values of k, then the words commute. One of our methods is to assign numerical values for the letters, and then study the sums of the letters of words and their prefixes.
openaire   +4 more sources

Characterizing Cutaneous α‐Synuclein Deposition and Seeding Activity in Parkinson's Disease Subtypes

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Cutaneous phosphorylated α‐synuclein (p‐syn) and α‐synuclein seeding activity are promising biomarkers for Parkinson's disease (PD), but their clinical value remains uncertain due to disease heterogeneity. This study evaluates these two biomarkers in PD patients to inform phenotype‐specific diagnosis and disease severity assessment ...
Yuting Jin   +8 more
wiley   +1 more source

Evaluation of Power Production Asymmetry during Cycling in Persons with Multiple Sclerosis. [PDF]

open access: yesInt J Environ Res Public Health, 2019
Farrell JW   +6 more
europepmc   +1 more source

Baseline Neuroinflammation Stratifies TSPO‐PET Response to Disease‐Modifying Therapy in Multiple Sclerosis

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To investigate which baseline clinical and imaging characteristics best predict TSPO‐PET‐measurable reduction in glial activation following treatment of multiple sclerosis (MS), to utilize this information for designing more efficient biomarker‐based clinical trials targeting glial activation.
Marlene T. Morch   +5 more
wiley   +1 more source

Utilization of microbial fuel cells as a dual approach for landfill leachate treatment and power production: a review. [PDF]

open access: yesEnviron Sci Pollut Res Int
Ishaq A   +5 more
europepmc   +1 more source

Temporal Interference Stimulation of Centromedian‐Parafascicular Complex in Disorders of Consciousness: A Pilot Study

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Treatment of disorders of consciousness (DoC) remains a major clinical challenge, and noninvasive, targeted modulation of deep brain structures has emerged as a promising therapeutic strategy. We aimed to evaluate the feasibility/safety and preliminary effects of thalamic temporal interference stimulation (TIS) targeting centromedian‐
Gengyao Hu   +7 more
wiley   +1 more source

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