A Câˆž function f on a riemannian manifold M is convex provided its hessian (second covariant differential) is positive semidefinite, or equivalently if (f â—¦Ïƒ)â€²â€² â‰¥ 0 for every geodesic in M . We shallâ€¦ (More)

Six instances of sudden death were recorded by Holter monitoring, which showed ventricular fibrillation in five and a bradyarrhythmia in one. Complex ventricular ectopic activity preceded cardiacâ€¦ (More)

1. Abraham J. Barshop, A miniature mathematical science, Brooklyn College Math. Mirror, Annual Bulletin of the Mathematics Club of Brooklyn College 7 (1939), 14-17. 2. Lawrence M. Graves, A finiteâ€¦ (More)

For a Jordan domain in the plane the length metric space of points connected to an interior point by a curve of finite length is a cat(0) space and Gromov hyperbolic. With respect to the coneâ€¦ (More)

A distinct late systolic "dip" in ventricular wall motion is described in patients with mitral valve prolapse. Sixty patients were referred because of clinically suspected mitral valve prolapse.â€¦ (More)

The limit frequencies of the positions in the game of Monopoly are calculated on the basis of Markov chains. In order to make the process Markovian some minor modifications in the rules areâ€¦ (More)

A semi-Riemannian manifold is said to satisfy R â‰¥ K (or R â‰¤ K) if spacelike sectional curvatures are â‰¥K and timelike ones are â‰¤K (or the reverse). Such spaces are abundant, as warped productâ€¦ (More)

In Alexandrov spaces of curvature bounded either below (CBB) or above (CBA), we obtain sharp extrinsic curvature bounds on subspaces associated with semiconcave functions. By strengthening Perelmanâ€™sâ€¦ (More)