Many practices are surveying patients' opinions. Surveys can be costly but MAAGs and FHSAs can provide expertise and resources. Surveys using any of the types of questionnaire are likely to lead to changes and identifiable benefits. Benefits of surveys are perceived by the majority of practices to outweigh the costs.
Systems of partial differential equations lie at the heart of physics. Despite this, the general theory of these systems has remained rather obscure in comparison to numerical approaches such as finite element models and various other discretisation schemes. There are, however, several theoretical approaches to systems of PDEs, including schemes based on differential algebra and geometric approaches including the theory of exterior differential systems [5] and the so-called "formal theory" [4] built on the jet bundle formalism. This paper is a brief introduction to jet bundles focusing on the completion of systems to equivalent involutive systems for which power series solutions may be constructed order by order. We will not consider the mathematical underpinnings of involution (which lie in the theory of combinatorial decompositions of polynomial modules [2,3]) nor other applications of the theory of jet bundles such as the theory of symmetries of systems of PDEs [6] or discretisation schemes based on discrete approximations to jet bundles [1].
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.