Finding a pivot rule for the simplex method that is strongly polynomial is an open question. In fact, the shortest length of simplex pivots from any feasible basis to some optimal basis is not known to be polynomially bounded. An admissible pivot is a common generalization of simplex and dual simplex pivots, and there are various admissible pivot methods that are nite, including the least-index...

The pivot shift test is the only clinical test that has been shown to correlate with subjective criteria of knee joint function following rupture of the anterior cruciate ligament. The grade of the pivot shift is important in predicting short- and long-term outcome. However, because this grade is established by a clinician in a subjective manner, the pivot shift's value as a clinical tool is re...

The pivot algorithm is a Markov Chain Monte Carlo algorithm for simulating the selfavoiding walk. At each iteration a pivot which produces a global change in the walk is proposed. If the resulting walk is self-avoiding, the new walk is accepted; otherwise, it is rejected. Past implementations of the algorithm required a time O(N) per accepted pivot, where N is the number of steps in the walk. W...

In SaaS, most tenants rely on the service provider for data maintenance and computation. As tenants no longer possess their application and data locally, it is of critical importance for the tenants to ensure that their data are being correctly stored and maintained. However, the customized multi-tenants sharing storage mode makes it hard for tenants to guarantee their data integrity because mu...

Acceptance of the klap speed skate was fully realized on the world speed skating scene in 1997. However, one of the most important unknowns regarding the klapskate was the positioning of the point of foot rotation (pivot point), which is believed to play an important role in optimizing klapskate performance. The purposes of this study were to explore the ankle, knee, and hip joint mechanical ch...

The purpose of this paper is to discuss the various pivot rules of the simplex method and its variants that have been developed in the last two decades, starting from the appearance of the minimal index rule of Bland. We are mainly concerned with finiteness properties of simplex type pivot rules. Well known classical results concerning the simplex method are not considered in this survey, but t...