hadamard (or complete $cat(0)$) spaces are complete, non-positive curvature, metric spaces. here, we prove a nonlinear ergodic theorem for continuous non-expansive semigroup in these spaces as well as a strong convergence theorem for the commutative case. our results extend the standard non-linear ergodic theorems for non-expansive maps on real hilbert spaces, to non-expansive maps on had...

soil slopes are sometimes curved in plan rather than being straight. this curvature,especially when it is convex, decreases the bearing capacity of the slope. finite element methodhas been used here in this research to investigate the reducing effect of curvature on bearingcapacity of a slope. failure of soil has been assumed to be according to mohr-coulomb criteria;but the flow rule of the soi...

introduction: the aim of this in vitro study was to evaluate the correlation between accuracy of root zx electronic foramen locator and root canal curvature. methods and materials: one hundred and ten extracted mandibular molars were selected. access cavity was prepared and coronal enlargement of mesiobuccal canal was performed. a #10 flexofile was inserted into the mesiobuccal canal, and a rad...

production and preparation of many parts of the aircraft body including wings with long length, smooth form, and large radius of curvature are amongst the most important challenges in this industry. in this paper, the effective factors in the rubber pad forming method on a pieces contain curvature radius have been investigated by finite element method. the effect of variables such as curvature ...

methods are proposed to develop idealized moment-curvature response curves of slender rectangular rc wall sections with uniformly distributed longitudinal reinforcement, using limit states, namely, cracking of concrete in tension, tensile yielding of reinforcement layers, and compression failure of concrete. it is recommended that tensile yielding of an inner layer of reinforcement is considere...

Parallel tubular channel angular pressing (PTCAP) process is a novel recently developed severe plastic deformation technique for fabrication of ultrafine grained (UFG) metallic tubes. This new process consists of two half cycles and is affected by several parameters such as channel angles, deformation ratio and curvature angles. In this paper, the effects of these parameters on the plastic defo...

In this note we establish that finite-time singularities of the mean curvature flow of compact Riemannian submanifolds M t →֒ (N, h) are characterised by the blow up of the mean curvature.