OBJECTIVE Methods to assess beta-cell function in clinical studies are limited. The aim of the current study was to compare a direct measure of insulin secretion with fasting surrogate markers in relation to glucose tolerance status. RESEARCH DESIGN AND METHODS In 1,380 individuals from the Insulin Resistance Atherosclerosis Study, beta-cell function was assessed using a frequently sampled in...

If κ is strongly compact and λ > κ and λ is regular (or alternatively cf(λ) ≥ κ), then ` 2 ́+ → (λ+ ζ) θ holds for ζ, θ < κ. 2000 Mathematics Subject Classification. 2000 Math Subject Classification: 03E02. I would like to thank Alice Leonhardt for the beautiful typing. Research of the author was partially supported by the United States-Israel Binational Science Foundation. Publ.761. Latest Rev...

Various extensions of the leximin order to the infinite dimensional setting have been suggested. They relax completeness and strong anonymity. Instead, by removing sensitivity to generations at infinite rank this paper defines a complete and strongly anonymous leximin relation on infinite streams. The order is axiomatized, and it is shown to be the limit of extended rank-discounted utilitariani...

Abstract: The effects of lignin on soybean seed quality have been studied since the early 1990s. Initially, higher content in coat was associated with greater resistance to mechanical damage by seeds. Later, positive relationships were tolerance stresses caused weathering pre-harvest, resulting improved quality. Additional studies shown that pod wall is also related production seeds high physio...

Various expanded rough set models based on tolerance relations enlarge the application fields of rough set theory. Through generating tolerance relations to fuzzy tolerance relations and combining with dominance relations, a tolerance class of a fuzzy tolerance relation is further decomposed into a positive fuzzy tolerance class, a negative fuzzy tolerance class and a purely fuzzy tolerance cla...

The classical rough set theory based on complete information systems stems from the observation that objects with the same characteristics are indiscernible according to available information. With respect to upper-approximation and lower-approximation defined on an indiscernibility relation it classifies objects into different equivalent classes. But in some cases such a rigid indiscernibility...

due to limitations in computing resources of mobile nodes, mobile ad-hoc networks (manets) are very fault-prone. so far, redundancy at different levels of the network has been considered an efficient strategy to enhance the fault-tolerance of networks. indeed, ad-hoc networks are extremely redundant; therefore, natural redundancy to fault tolerance enhancement has a great impact on the network ...

A tolerance is a reflexive and symmetric, but not necessarily transitive, binary relation. Contrary what happens with equivalence relations, when dealing with tolerances one must distinguish between blocks (maximal subsets where the tolerance is a total relation) and classes (the class of an element is the set of those elements tolerable with it). Both blocks and classes of a tolerance on a set...

Based on the analysis of the rough set model on a tolerance relation and the fuzzy rough set, two types of fuzzy rough sets models on tolerance relations are constructed and researched. Then we propose the optimistic and pessimistic multi-granulation fuzzy rough sets models in a fuzzy tolerance approximation space with the point view of granular computing. In these models, the fuzzy lower and u...