We study the existence and instability properties of saddleshaped solutions of the semilinear elliptic equation −∆u = f(u) in the whole R, where f is of bistable type. It is known that in dimension 2m = 2 there exists a saddle-shaped solution. This is a solution which changes sign in R and vanishes only on {|x1| = |x2|}. It is also known that this solution is unstable. In this article we prove ...

PURPOSE Repetitive internal stress in the perineum has been associated with soft-tissue trauma in bicyclists. Using an engineering approach, the purpose of this study was to quantify the amount of compression exerted in the perineum for a range of saddle widths and orientations. METHODS Computer tomography was used to create a three-dimensional voxel-based finite element model of the right si...

Bicycle saddle height configuration may affect pedal force application. Our aim was to compare pedal force effectiveness for different saddle height configurations. Eleven cyclists (38 ±12 years) and eleven triathletes (44 ±8 years) with competitive experience performed 2-min trials at four different saddle heights (preferred, high, low, theoretical optimal) each separated by one minute of rest...

We consider Friedel oscillation in the two-dimensional Dirac materials when the Fermi level is near the van Hove singularity. Twisted graphene bilayer and the surface state of topological crystalline insulator are the representative materials which show low-energy saddle points that are feasible to probe by gating. We approximate the Fermi surface near saddle point with a hyperbola and calculat...

We prove effective bounds on the rate in quadratic growth asymptotics for orbit of a non-uniform lattice SL(2,R), acting linearly plane. This gives an error bound count saddle connection holonomies, some Veech surfaces. The proof uses Eisenstein series and relies earlier work many authors (notably Selberg). Our results improve counting sectors smooth star shaped domains.

Sella turcica is a saddle shaped depression in the sphenoid bone. It received its name from its resemblance to the Turkish saddle. The seat of the saddle is known as pituitary fossa or hypophyseal fossa. The pituitary gland or hypophysis cerebri is situated in the hypophyseal fossa. It is limited anteriorly, posteriorly and inferiorly by bony constituents of the sella turcica the tuberculum sel...

Osteoarthritis of the carpometacarpal joint of the thumb (CMCJ) is a frequent clinical problem. The aim of the study was to discuss the mechanisms of circumduction and axial rotation of the CMCJ considering geometrical properties of the articulating surfaces and the configuration of the muscle system acting over the CMCJ. 28 CMCJ from 7 female and 7 male corpses (age: 81 yrs (median), 53-91 yrs...