This assessment found ergonomic risks mainly in the trunk, arm/forearm, and legs; the neck and hand/wrist were also compromised. Opportunities for ergonomic analyses and interventions in the design and execution of computer repair tasks are discussed.
We give a necessary and sufficient condition on a function f : R → R under which the composition operator (Nemytskij operator)and satisfies a local Lipschitz condition. While the proof of sufficiency consists in a straightforward calculation, the proof of necessity builds on nontrivial arguments like Helly's selection principle or the Arzelà-Ascoli compactness criterion.
Summary. Let (X, · ) and (Y, · ) be two normed spaces and K be a convex cone in X. Let CC(Y ) be the family of all non-empty convex compact subsets of Y . We consider the Nemytskiȋ operators, i.e. the composition operators defined by (N u
)(t) = H(t, u(t)),where H is a given set-valued function. It is shown that if the operator N maps the space b]; CC(Y )) (both are spaces of functions of bounded ϕ-variation in the sense of Riesz), and if it is globally Lipschitz, then it has to be of the form
H(t, u(t)) = A(t)u(t)+B(t), where A(t)is a linear continuous set-valued function and B is a set-valued function of bounded ϕ 2 -variation in the sense of Riesz. This generalizes results of G. Zawadzka [12], A. Smajdor and W. Smajdor [11], N. Merentes and K. Nikodem [5], and N. Merentes and S. Rivas [7].
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.