Results 81 to 90 of about 34,295 (276)

The multiplicative Weyl functional calculus

Journal of Functional Analysis, 1972
AbstractThe Weyl calculus discussed in the author's previous papers starts with a fixed set of n noncommuting self-adjoint operators and associates an operator to a real function of n variables. The calculus is not multiplicative with respect to point-wise multiplication of functions.
openaire   +2 more sources

A Prospective Study of Individuals at Risk of Multiple Sclerosis Informs the Design of Primary Prevention Studies

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective In multiple sclerosis, the optimal time for deploying a therapeutic intervention is before the central nervous system is damaged; given the success of trials treating the earliest stage of MS, the radiologically isolated syndrome, developing primary prevention strategies is an important next challenge.
Amy W. Laitinen, Ceren Tozlu, Tina Roostaei, Fatoumata Diallo, Kaho Onomichi, Jiyeon Son, Zongqi Xia, Philip L. De Jager   +7 more
wiley   +1 more source

GAD65 Antibody ELISA With Extended Reportable Range: Validation and Guidance for Neurological Practice

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective To (1) validate GAD65‐ELISA detection and quantification for type 1 diabetes mellitus and autoimmune neurological diagnoses, (2) correlate ELISA results (reference range < 5 IU/mL) with established radioimmunoprecipitation assay (RIA; ≤ 0.02 nmol/L), and (3) define ELISA clinical utility and pitfalls.
Andrew McKeon, Dana Olofson, Diana Anissian, Divyanshu Dubey, Eoin P. Flanagan, Max C. Herman, Sarosh R. Irani, Daniel H. Lachance, Maria A. Willrich, Sean Pittock, John R. Mills, Anastasia Zekeridou   +11 more
wiley   +1 more source

Comprehensive Assessment of Arterial, Tissue, and Venous Collaterals for Evaluating the Infarct Growth Rate: The Multimodal Collateral Score

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Background Collaterals are crucial factors that influence the infarct growth rate (IGR). We aimed to determine whether a comprehensive multimodal collateral score (MCS), incorporating collateral assessment at the arterial, tissue, and venous levels, is associated with functional independence and provides incremental prognostic value over ...
Giorgio Busto, Umberto Pensato, Ilaria Casetta, Giorgio U. Marcello, Angelo Barra, Anna Poggesi, Edoardo Carlesi, Sara Mancini, Andrea Ginestroni, Vittorio Miele, Alessandro Padovani, Andrea Morotti, Enrico Fainardi   +12 more
wiley   +1 more source

The Lambda-calculus with multiplicities

, 1993
We introduce a refinement of the l-calculus, where the argument of a function is a bag of resources, that is a multiset of terms, whose multiplicities indicate how many copies of them are available. We show that this l-calculus with multiplicities has a natural functionality theory, similar to Coppo and Dezani's intersection type discipline.
openaire   +3 more sources

Generalization of Hermite–Hadamard, trapezoid, and midpoint Mercer type inequalities for fractional integrals in multiplicative calculus

Boundary Value Problems
This study generalizes Hermite–Hadamard–Mercer type inequalities using Riemann–Liouville fractional integrals within the framework of multiplicative calculus.
Abdul Mateen, Zhiyue Zhang, Serap Özcan, Muhammad Aamir Ali   +3 more
doaj   +1 more source

Model Checking the Quantitative mu-Calculus on Linear Hybrid Systems

, 2011
We study the model-checking problem for a quantitative extension of the modal mu-calculus on a class of hybrid systems. Qualitative model checking has been proved decidable and implemented for several classes of systems, but this is not the case for ...
Colin Stirling, Diana Fischer, Lukasz Kaiser   +2 more
core   +1 more source

ϕ−Multiplicative Calculus

Fundamentals of Contemporary Mathematical Sciences
In this paper, we present a novel mathematical framework termed “ϕ-multiplicative calculus”, which serves as a Golden Fibonacci calculus to fundamental concepts in multiplicative calculus. This innovative calculus introduces a parameter ϕ (Golden ratio), offering a nuanced extension of traditional calculus.
openaire   +2 more sources

Quantum multiplication through equivariant Schubert calculus

, 2021
23 pages. More remarks on and comparisons with previous work are made.
openaire   +2 more sources

Validation of a Genetic Risk Score Combined With Clinical Variables for Predicting Pulmonary Fibrosis in Early Rheumatoid Arthritis

Arthritis Care &Research, EarlyView.
Objective Pulmonary fibrosis (PF) is a severe extra‐articular manifestation of rheumatoid arthritis (RA). This study aimed to externally validate a genetic risk score (GRS) and a combined risk score (CRS) for predicting the risk of RA‐associated PF in an independent cohort of patients with early RA.
Mikael Brink, Austin Wheeler, Bryant R. England, Solbritt Rantapää‐Dahlqvist   +3 more
wiley   +1 more source