The method of shortest residuals (SR) was presented by Hestenes and studied by Pitlak. If the function is quadratic, and if the line search is exact, then the SR method reduces to the linear conjugate gradient method. In this paper, we put forward the formulation of the SR method when the line search is inexact. We prove that, if stepsizes satisfy the strong Wolfe conditions, both the Fletcher-...

A study conducted in association with the Atlanta Peachtree 10 K followed participants over a 10 year period and 30% of the participants stopped running permanently because of an injury. Two other studies reported a drop out rate in marathon training program for those who enter the race has been reported to be 30% to 50% with the most common reason for non-completion being injury (Clough PJ 198...

v. dannon showed that spherical curves in e4 can be given by frenet-like equations, and he thengave an integral characterization for spherical curves in e4 . in this paper, lorentzian spherical timelike andspacelike curves in the space time 41 r are shown to be given by frenet-like equations of timelike andspacelike curves in the euclidean space e3 and the minkowski 3-space 31 r . thus, finding...