OBJECTIVE We investigated whether surface smoothness of articular cartilage in the medial tibiofemoral compartment quantified from magnetic resonance imaging (MRI) could be appropriate as a diagnostic marker of osteoarthritis (OA). METHOD At baseline, 159 community-based subjects aged 21 to 81 with normal or OA-affected knees were recruited to provide a broad range of OA states. Smoothness wa...

Anecdotal reports that time "flies by" or "slows down" during emotional events are supported by evidence that the motivational relevance of stimuli influences subsequent duration judgments. Yet it is unknown whether the subjective quality of events as they unfold is altered by motivational relevance. In a novel paradigm, we measured the subjective experience of moment-to-moment visual perceptio...

We study multivariate trigonometric polynomials satisfying the “sum-rule” conditions of a certain order. Based on the polyphase representation of these polynomials relative to a general dilation matrix, we develop a simple constructive method for a special type of decomposition of such polynomials. These decompositions are of interest in the analysis of convergence and smoothness of multivariat...

The performance of online convex optimization algorithms in a dynamic environment is often expressed terms the regret, which measures decision maker’s against sequence time-varying comparators. In analysis prior works assume Lipschitz continuity or uniform smoothness cost functions. However, there are many important functions practice that do not satisfy these conditions. such cases, analyses a...

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We prove that some multivariate linear tensor product problems are tractable in the worst case setting if they are defined as tensor products of univariate problems with logarithmically increasing smoothness. This is demonstrated for the approximation problem defined over Korobov spaces and for the approximation problem of certain diagonal operators. For these two problems we show necessary and...

In 2010 a survey of ACPA contractors was conducted to determine the relative cost of selected design features. Three different surveys were used; a General Survey evaluating nine design features, a Saw and Seal survey evaluating four sealant types and four reservoir widths, and a smoothness survey designed to establish the cost to attain lower and lower roughness levels. To complete all three s...