We study computably enumerable equivalence relations (ceers), under the reducibility R ≤ S if there exists a computable function f such that x R y if and only if f(x) S f(y), for every x, y. We show that the degrees of ceers under the equivalence relation generated by ≤ form a bounded poset that is neither a lower semilattice, nor an upper semilattice, and its first order theory is undecidable....

The objective of this study was to develop and test an EMG-based coactivation index and compare it to a coactivation index defined by a biologically assisted lumbar spine model to differentiate between tasks. The purpose was to provide a universal approach to assess coactivation of a multi-muscle system when a computational model is not accessible. The EMG-based index developed utilised anthrop...

We present a description, including a characterization, of the complete cd-index of dihedral intervals. Furthermore, we describe a method to compute the complete cd-index of intervals in universal Coxeter groups. To obtain such descriptions, we consider Bruhat intervals for which Björner and Wachs’s CL-labeling can be extended to paths of different lengths in the Bruhat graph. While such an ext...

A systematic investigation of structural, mechanical, anisotropic, and electronic properties of SiC₂ and SiC₄ at ambient pressure using the density functional theory with generalized gradient approximation is reported in this work. Mechanical properties, i.e., the elastic constants and elastic modulus, have been successfully obtained. The anisotropy calculations show that SiC₂ and SiC₄ are both...

The orbifold group of the Borromean rings with singular angle 90 degrees, U , is a universal group, because every closed oriented 3–manifold M3 occurs as a quotient space M3 = H3/G, where G is a finite index subgroup of U . Therefore, an interesting, but quite difficult problem, is to classify the finite index subgroups of the universal group U . One of the purposes of this paper is to begin th...

Although an official definition by the World Health Organization (WHO) or any other authority is currently lacking, hospital detention practices (HDP) can be described as: “refusing release of either living patients after medical discharge is clinically indicated or refusing release of bodies of deceased patients if families are unable to pay their hospital bills.” Reports of HDP are very scarc...

Résumé. De nos jours, il y a un fort intérêt pour de nouvelles méthodes d’évaluation des groupes de recherche afin de quantifier l’impact de leur travail sur toute la communauté scientifique et de tenter de prédire leurs performances dans le futur. Dans ce contexte, nous proposons une nouvelle approche hybride qui mesure la centralité d’un groupe de chercheurs publiants. Cette mesure profite de...

Second order lower bounds for the entropy function expressed in terms of the index of coincidence are derived. Equivalently, these bounds involve entropy and Rényi entropy of order 2. The constants found either explicitly or implicitly are best possible in a natural sense. The inequalities developed originated with certain problems in universal prediction and coding which are briefly discussed.

The goal of this paper is to apply the universal gerbe developed in [CMi1] and [CMi2] and the local family index theorems to give a unified viewpoint on the known examples of geometrically interesting gerbes, including the determinant bundle gerbes in [CMMi1], the index gerbe in [L] for a family of Dirac operators on odd dimensional closed manifolds. We also discuss the associated gerbes for a ...