OBJECTIVES Although there are numerous case reports of spontaneous rupture of the collecting system, especially including the calyceal fornix or the renal pelvis, spontaneous rupture of the ureter is a rare condition. METHODS Herein, we present a case of a patient who suffered symptoms of acute abdomen due to rupture of the proximal ureter. Extensive assessment revealed no etiological factor ...

In this short note we present a proof, aimed at beginners, of the convergence of the stochastic approximation recursion i+1 = i+ i+1h( i)+ i+1 i+1 under the classical 0-level Kushner-Clark noise condition when the underlying dynamic is Lyapunov stable. The technique of proof relies on simple calculus arguments and bypasses the need for the introduction of the associated continuous time ODE. Fut...

We unify a few of the best known results on wave breaking for the Camassa– Holm equation (by R. Camassa, A. Constantin, J. Escher, L. Holm, J. Hyman and others) in a single theorem: a sufficient condition for the breakdown is that u′0 + |u0| is strictly negative in at least one point x0 ∈ R. Such blowup criterion looks more natural than the previous ones, as the condition on the initial data is...

We establish a lower estimate for the Kobayashi-Royden infinitesimal pseudometric on an almost complex manifold (M, J) admitting a bounded strictly plurisubharmonic function. We apply this result to study the boundary behaviour of the metric on a strictly pseudoconvex domain in M and to give a sufficient condition for the complete hyperbolicity of a domain in (M, J).

Let μ be a measure with compact support, with orthonormal polynomials {pn}, and associated reproducing kernels {Kn}. We show that without any global assumptions on the measure, a weak local condition leads to the bulk universality limit in the mean. For example, if μ ≥ C > 0 in some open interval J , then at each Lebesgue point ξ of J , and for each r > 0,

Intracompartmental pressure monitoring remains the primary method of diagnosing chronic compartment syndrome. MIBI perfusion imaging is widely available and oVers a radionuclear imaging technique for diagnosing this condition. Although the results are not identical with those from pressure monitoring, MIBI may oVer a useful screening test for this condition. (Br J Sports Med 1999;33:49–51)

Building upon earlier work of T. Brady, we construct locally CAT(0) classifying spaces for those Artin groups which are three dimensional and which satisfy the FC (flag complex) condition. The approach is to verify the “link condition” by applying gluing arguments for CAT(1) spaces and by using the curvature testing techniques of M. Elder and J. McCammond.