Matches in SemOpenAlex for { <https://semopenalex.org/work/W31281805> ?p ?o ?g. }
Showing items 1 to 34 of
34
with 100 items per page.
- W31281805 endingPage "26" @default.
- W31281805 startingPage "14" @default.
- W31281805 abstract "The subject-matter of the previous chapter is called tensor algebra . It is characterized by the fact that only relations between invariants, vectors or tensors referring to the same point of the continuum are contemplated. From the point of view taken here, algebraic relations between vectors and tensors referring to different points are meaningless. Remember, however, that we based the notion of tensors on that of vectors, and the latter on the notion of the gradient, and there is hardly any simple and natural alternative to this procedure. Now in forming the gradient we actually had to compare the values of an invariant at different points, and at the same time we made the first step at introducing analysis into our continuum. In this and the following chapters we shall have to extend it. Analysis will involve derivatives and integrals. We shall have to study both from the point of view of general invariance. However, this does not mean to look out only for invariants, but also for entities with tensorial character, because, as we have seen, an equation between them (or in other words a system of equations saying that a tensor vanishes) is conserved on transformation. We begin with space-time- integrals . That leads to a certain extension of the notion of tensors, viz. to tensor densities. We had emphasized that there is no point in adding (or, more generally, in forming linear aggregates of) tensors or vectors referring to different points. This would have no simple meaning." @default.
- W31281805 created "2016-06-24" @default.
- W31281805 creator A5001002446 @default.
- W31281805 date "1985-10-17" @default.
- W31281805 modified "2023-09-26" @default.
- W31281805 title "Integrals. Densities. Derivatives" @default.
- W31281805 doi "https://doi.org/10.1017/cbo9780511586446.003" @default.
- W31281805 hasPublicationYear "1985" @default.
- W31281805 type Work @default.
- W31281805 sameAs 31281805 @default.
- W31281805 citedByCount "0" @default.
- W31281805 crossrefType "book-chapter" @default.
- W31281805 hasAuthorship W31281805A5001002446 @default.
- W31281805 hasConcept C33923547 @default.
- W31281805 hasConceptScore W31281805C33923547 @default.
- W31281805 hasLocation W312818051 @default.
- W31281805 hasOpenAccess W31281805 @default.
- W31281805 hasPrimaryLocation W312818051 @default.
- W31281805 hasRelatedWork W1974891317 @default.
- W31281805 hasRelatedWork W2007596026 @default.
- W31281805 hasRelatedWork W2044189972 @default.
- W31281805 hasRelatedWork W2061531152 @default.
- W31281805 hasRelatedWork W2069964982 @default.
- W31281805 hasRelatedWork W2071622573 @default.
- W31281805 hasRelatedWork W2313400459 @default.
- W31281805 hasRelatedWork W2913765211 @default.
- W31281805 hasRelatedWork W4225152035 @default.
- W31281805 hasRelatedWork W4245490552 @default.
- W31281805 isParatext "false" @default.
- W31281805 isRetracted "false" @default.
- W31281805 magId "31281805" @default.
- W31281805 workType "book-chapter" @default.