We extend the notion of ascent and descent for an operator acting on a vector space to sets of operators. If the ascent and descent of a set are both finite then they must be equal and give rise to a canonical decomposition of the space. Algebras of operators, unions of sets and closures of sets are treated. As an application we construct a Browder joint spectrum for commuting tuples of bounded...

BACKGROUND Transtibial amputees encounter stairs and steps during their daily activities. The excessive pressure between residual limb/socket may reduce the walking capability of transtibial prosthetic users during ascent and descent on stairs. The purposes of the research were to evaluate the interface pressure between Dermo (shuttle lock) and Seal-In X5 (prosthetic valve) interface systems du...

The aim of this study was to investigate the biomechanics and motor co-ordination in humans during stair climbing at different inclinations. Ten normal subjects ascended and descended a five-step staircase at three different inclinations (24 degrees, 30 degrees, 42 degrees ). Three steps were instrumented with force sensors and provided 6 dof ground reactions. Kinematics was analysed by a camer...

[Purpose] This study aimed to determine which clinical measures of walking performance and lower limb muscle strength would predict energy cost during stair ascent and descent in community-dwelling individuals with stroke. [Subjects and Methods] Regression analysis of cross-sectional data from 55 individuals between one and five years post-stroke was used to investigate the measures of walking ...

Abstract The purpose of this paper is to present in linear spaces some results for new notions called A -left (resp., -right) ascent and descent operators (where a given operator) which generalize two important operator theory: descent. Moreover, if positive operator, we obtain several properties an semi-Hilbertian spaces. Some basic many related the on space Kaashoek (Math Ann 172:105–115, 196...

Configuration of locomotion for planetary rovers is motivated by increased interest in exploring lunar polar craters. Current rover designs cannot achieve the ascent or descent required by steep, unconsolidated lunar slopes. New designs must provide locomotive capability for steep climbing, techniques for controlling slip, and safely navigating down and along steep slopes. We propose a locomoti...

The purpose of this study is to investigate the kinematics in humans during stair climbing and the influence of stair slope variation on gait cycle .The analysis of biomechanical aspect involved in stair ascent and descent can add to our understanding of the diverse and complicated processes involved in human locomotion and also be useful in the design of private and public environments where s...