OBJECTIVES To compare the reliability and validity in a large open population of three frequently used radiological definitions of hip osteoarthritis (OA): Kellgren and Lawrence grade, minimal joint space (MJS), and Croft grade; and to investigate whether the validity of the three definitions of hip OA is sex dependent. METHODS SUBJECTS from the Rotterdam study (aged > or= 55 years, n = 35...

The effects of parametric uncertainty in stable state space systems are analyzed by averaging the state covariance over the statistics of the uncertain parameters. For natural frequency uncertainty, this computation is related to the Fourier transform of the probability density function of the uncertain parameter. Equipartition and incoherence are illustrated for a single mode oscillator. Avera...

Contributors and participants: John Beavers, CC Technologies; Jeff Braithwaite, Sandia National Laboratories; Rudy Buchheit, Ohio State University; Clive Clayton, State University of New York; Thomas M. Devine, Jr., University of California; Steve Dexter, University of Delaware; Joe Farmer, Lawrence Livermore National Lab.; Jerry Frankel, Ohio State University; Greg Gdowski, Lawrence Livermore ...

We show that the representation, introduced by Lawrence and Krammer to show the linearity of Braid groups, is generically irreducible, but for that for some values of its two parameters when these are specialized to complex numbers , it becomes reducible. To do so, we construct a representation of degree n(n−1) 2 of the BMW algebra of type A n−1 inside the Lawrence-Krammer space. As a represent...

The Lawrence–Krammer representation was used in 2000 to show the linearity of the braid group. The problem had remained open for many years. The fact that the Lawrence–Krammer representation of the braid group is reducible for some complex values of its two parameters is now known, as well as the complete description of these values. It is also known that when the representation is reducible, t...

Reseña: LAWRENCE, Mark, Nineteenth-century Spain. A new history. Londres, Routledge, 2021, 206 pp. ISBN 9780367786045.

We show how Modified Bar-Recursion, a variant of Spector’sBar-Recursion due to Berger and Oliva can be used to realize the Axiomof Choice in Parigot’s Lambda-Mu-calculus, a direct-style language forthe representation and evaluation of classical proofs.We rely on Hyland-Ong innocent games. They provide a model to per-form the usual infinitary reasoning on Bar-Recursion needed...