BACKGROUND Moderate-to-vigorous physical activity (MVPA) has been negatively associated with cardiometabolic risk. We sought to determine if MVPA interacts with body-mass index (BMI) and waist circumference (WC) in determining cardiometabolic risk in adolescents. METHODS This cross-sectional study included cardiometabolic risk (blood pressure [BP], nonfasting lipids) screening and a 7-day rec...

After a brief review of derived categories, triangulated categories and t-structures, we shall consider the bounded derived category D(X,R) of the category of étale sheaves of R-modules on X (a k-scheme of finite type), where R is an l-torsion ring with l a prime number distinct from the characteristic of the field k. We shall construct a t-structure on the (triangulated) full subcategory D c(X...

We show that a certain simple call-by-name continuation semantics of Parigot’s λμ-calculus is complete. More precisely, for every λμ-theory we construct a cartesian closed category such that the ensuing continuation-style interpretation of λμ, which maps terms to functions sending abstract continuations to responses, is full and faithful. Thus, any λμ-category in the sense of L. Ong (1996, in “...

The program of constructing spacetime geometry from string theoretic modular forms is extended to Calabi-Yau varieties of dimensions two, three, and four, as well as higher rank motives. Modular forms on the worldsheet can be constructed from the geometry of spacetime by computing the L-functions associated to omega motives of Calabi-Yau varieties, generated by their holomorphic n−forms via Gal...

Given a finite root system Φ, we show there is an integer c = c(Φ) such that dimExtG(L,L ) < c, for any reductive algebraic groupG with root system Φ and any irreducible rational G-modules L,L. We also prove that there is such a bound in the case of finite groups of Lie type, depending only on the root system and not on the underlying field. For quantum groups, we are able to obtain a similar r...

W is the category of archimedean l-groups with distinguished weak order unit, with l-group homomorphisms which preserve unit. This category includes all rings of continuous functions C(X) and all rings of measurable functions modulo null functions, with ring homomorphisms. The authors, and others, have studied previously the epimorphisms (right-cancellable morphisms) in W. There is a rich theor...

In this paper we propose a priority sch,eme for reconnection of virtual circuits (VCs) in ATM networks that have been disrupted b y a failure. ATM networks offer several service categories each designed to hand le applications with specific trafic characteristics. A failure typically results in a large number of disrupted connections in each category, a l l of which must be restored simultaneou...

We study the module category associated to the quantum double of a finite abelian group G twisted by a 3-cocycle, which is known to be a braided monoidal category, and investigate the question of when two such categories are equivalent. We base our discussion on an exact sequence which interweaves the ordinary and Eilenberg-Mac Lane cohomology of G. Roughly speaking, this reveals that the data ...

Gerbes are locally connected presheaves of groupoids on a small Grothendieck site C. Gerbes are classified up to local weak equivalence by path components of a cocycle category taking values in the diagram Grp(C) of 2-groupoids consisting of all sheaves of groups, their isomorphisms and homotopies. If F is a full subpresheaf of Grp(C) then the set [∗, BF ] of morphisms in the homotopy category ...

OBJECTIVE Frequent readmissions for acute exacerbations of COPD (AECOPD) are an independent risk factor for increased mortality and use of health-care resources. Disease severity and C-reactive protein (CRP) level are validated predictors of long-term prognosis in such patients. This study investigated the utility of combining serum CRP level with the Global Initiative for Chronic Obstructive L...