A symmetric planar central configuration of the Newtonian six-body problem x is called cross central configuration if there are precisely four bodies on a symmetry line of x. We use complex algebraic geometry and Groebner basis theory to prove that for a generic choice of positive real masses m1, m2, m3, m4, m5 = m6 there is a finite number of cross central configurations. We also show one explicit example of a configuration in this class. A part of our approach is based on relaxing the output of the Groebner basis computations. This procedure allows us to obtain upper bounds for the dimension of an algebraic variety. We get the same results considering cross central configurations of the six-vortex problem.
Building upon the literature’s contribution to organizational procurement, enterprises must confront challenges derived from the uncertainty of collective decision-making and increasing efforts to scan for relevant information among providers. Especially for service products that cannot be tried in advance, how should corporate customers determine the price/performance of products before purchasing? This study explores ways to overcome the effect of these vulnerabilities and advance the quality of service and the loyalty framework to enrich the information processing theory. The results indicate that perceived value and relationship quality have greater effects on loyalty than service quality. Thus, if service providers can maintain amicable relationships and interactions with enterprise users, this will help the vendor provide enterprise users with appropriate product information in their service process, increasing the enterprise users’ loyalty. This study also proposes practical implications for the research results above, providing the information service industry with feasible service model suggestions and maintaining a sustainable competitive advantage. This study addresses relevant challenges faced by practitioners and provides managerial guidance to strengthen customer loyalty.
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.