On the stability of Bravais lattices and their Cauchy–Born approximations [PDF]
We investigate the stability of Bravais lattices and their Cauchy–Born approximations under periodic perturbations. We formulate a general interaction law and derive its Cauchy–Born continuum limit. We then analyze the atomistic and Cauchy–Born stability
Hudson, Thomas +3 more
core +1 more source
ABSTRACT Objective Progression independent of relapse activity is a major determinant of long‐term disability in multiple sclerosis, but its immunopathologic basis remains incompletely understood. We investigated whether relapse‐independent progression in radiologically stable relapsing–remitting multiple sclerosis is associated with distinct ...
Antonio Bruno +19 more
wiley +1 more source
Approximations to Differential Inclusions by Discrete Inclusions [PDF]
This report is devoted to second order discrete approximations to differential inclusions. The approximations are of the form of discrete inclusions with right-hand sides, which are explicitly described for some classes of differential inclusions. In the
Veliov, V.M.
core +1 more source
Discrete Approaches to Continuous Boundary Value Problems: Existence and Convergence of Solutions
We investigate two types of first-order, two-point boundary value problems (BVPs). Firstly, we study BVPs that involve nonlinear difference equations (the “discrete” BVP); and secondly, we study BVPs involving nonlinear ordinary differential equations ...
Douglas R. Anderson +1 more
doaj +1 more source
On Low Treewidth Approximations of Conjunctive Queries [PDF]
We recently initiated the study of approximations of conjunctive queries within classes that admit tractable query evaluation (with respect to combined complexity).
Libkin, Leonid +2 more
core
Clinical, Histologic, and Serological Predictors of Renal Function Loss in Lupus Nephritis
Objective Kidney survival is the ultimate goal in lupus nephritis (LN) management, but long‐term predictors remain inadequately studied, requiring long‐term follow‐up. This study aimed to identify baseline and early longitudinal predictors of kidney survival in the Accelerating Medicines Partnership LN longitudinal cohort.
Shangzhu Zhang +21 more
wiley +1 more source
Rank-Based Family of Probability Laws for Testing Homogeneity of Variable Grouping
In order to test within-group homogeneity for numerical or ordinal variable groupings, we have introduced a family of discrete probability distributions, related to the Gini mean difference, that we now study in a deeper way. A member of such a family is
Manuel L. Esquível +4 more
doaj +1 more source
Numerical Solutions of a Class of Fourth-Order Non-Linear Equations for Singular Boundary Value Problems [PDF]
In this article, we investigate the numerical approximation of solutions to a class of fourth-order singular boundary value problems subject to various boundary conditions.
Biswajit Pandit +3 more
doaj +1 more source
Generalised verification of the observer property in discrete event systems [PDF]
The observer property is an important condition to be satisfied by abstractions of Discrete Event Systems (DES) models. This paper presents a generalised version of a previous algorithm which tests if an abstraction of a DES obtained through natural ...
Pena, Patricia N. +4 more
core +1 more source
The Lupus Damage Index Revision Program: Results From the Item Generation and Reduction Phases
Objective A data‐driven and expert/patient consensus‐based project to develop a revised Systemic Lupus International Collaborating Clinics (SLICC)/American College of Rheumatology (ACR) Damage Index (SDI) is under way supported by SLICC, ACR, and the Lupus Foundation of America. Our objective is to report the item generation and reduction phase results
Burak Kundakci +25 more
wiley +1 more source

