Matches in SemOpenAlex for { <https://semopenalex.org/work/W2983806937> ?p ?o ?g. }
Showing items 1 to 78 of
78
with 100 items per page.
- W2983806937 abstract "This article includes a survey of the historical development and theoretical structure of the pre-modern theory of magnitudes and numbers. In Part 1, work, insights and controversies related to quantity calculus from Euler onward are reviewed. In Parts 2 and 3, we define scalable monoids and, as a special case, quantity spaces; both can be regarded as universal algebras. Scalable monoids are related to rings and modules, and quantity spaces are to scalable monoids as vector spaces are to modules. Subalgebras and homomorphic images of scalable monoids can be formed, and tensor products of scalable monoids can be constructed as well. We also define and investigate congruence relations on scalable monoids, unit elements of scalable monoids, basis-like substructures of scalable monoids and quantity spaces, and scalar representations of elements of quantity spaces. The mathematical theory of quantity spaces is presented with a view to metrological applications. This article supersedes arXiv:1503.00564 and complements arXiv:1408.5024." @default.
- W2983806937 created "2019-11-22" @default.
- W2983806937 creator A5050166551 @default.
- W2983806937 date "2019-11-17" @default.
- W2983806937 modified "2023-10-16" @default.
- W2983806937 title "Magnitudes Reborn: Quantity Spaces as Scalable Monoids" @default.
- W2983806937 cites W1034430720 @default.
- W2983806937 cites W1486051181 @default.
- W2983806937 cites W1558637156 @default.
- W2983806937 cites W1822629720 @default.
- W2983806937 cites W1978132188 @default.
- W2983806937 cites W1978732198 @default.
- W2983806937 cites W2010832370 @default.
- W2983806937 cites W2023882378 @default.
- W2983806937 cites W2033907201 @default.
- W2983806937 cites W2049352524 @default.
- W2983806937 cites W2063635956 @default.
- W2983806937 cites W2080263515 @default.
- W2983806937 cites W2125730861 @default.
- W2983806937 cites W2144255585 @default.
- W2983806937 cites W2312884964 @default.
- W2983806937 cites W2313528482 @default.
- W2983806937 cites W2912493394 @default.
- W2983806937 cites W2963970349 @default.
- W2983806937 cites W2985024507 @default.
- W2983806937 cites W3025344174 @default.
- W2983806937 cites W3107323053 @default.
- W2983806937 cites W578709777 @default.
- W2983806937 cites W589106828 @default.
- W2983806937 doi "https://doi.org/10.48550/arxiv.1911.07236" @default.
- W2983806937 hasPublicationYear "2019" @default.
- W2983806937 type Work @default.
- W2983806937 sameAs 2983806937 @default.
- W2983806937 citedByCount "3" @default.
- W2983806937 countsByYear W29838069372020 @default.
- W2983806937 countsByYear W29838069372021 @default.
- W2983806937 crossrefType "posted-content" @default.
- W2983806937 hasAuthorship W2983806937A5050166551 @default.
- W2983806937 hasBestOaLocation W29838069371 @default.
- W2983806937 hasConcept C12426560 @default.
- W2983806937 hasConcept C132074034 @default.
- W2983806937 hasConcept C136119220 @default.
- W2983806937 hasConcept C202444582 @default.
- W2983806937 hasConcept C2524010 @default.
- W2983806937 hasConcept C33923547 @default.
- W2983806937 hasConcept C41008148 @default.
- W2983806937 hasConcept C48044578 @default.
- W2983806937 hasConcept C51255310 @default.
- W2983806937 hasConcept C57691317 @default.
- W2983806937 hasConcept C77088390 @default.
- W2983806937 hasConceptScore W2983806937C12426560 @default.
- W2983806937 hasConceptScore W2983806937C132074034 @default.
- W2983806937 hasConceptScore W2983806937C136119220 @default.
- W2983806937 hasConceptScore W2983806937C202444582 @default.
- W2983806937 hasConceptScore W2983806937C2524010 @default.
- W2983806937 hasConceptScore W2983806937C33923547 @default.
- W2983806937 hasConceptScore W2983806937C41008148 @default.
- W2983806937 hasConceptScore W2983806937C48044578 @default.
- W2983806937 hasConceptScore W2983806937C51255310 @default.
- W2983806937 hasConceptScore W2983806937C57691317 @default.
- W2983806937 hasConceptScore W2983806937C77088390 @default.
- W2983806937 hasLocation W29838069371 @default.
- W2983806937 hasOpenAccess W2983806937 @default.
- W2983806937 hasPrimaryLocation W29838069371 @default.
- W2983806937 hasRelatedWork W1540176430 @default.
- W2983806937 hasRelatedWork W1912064545 @default.
- W2983806937 hasRelatedWork W1966582389 @default.
- W2983806937 hasRelatedWork W2003374054 @default.
- W2983806937 hasRelatedWork W2053603290 @default.
- W2983806937 hasRelatedWork W2333925524 @default.
- W2983806937 hasRelatedWork W2410897890 @default.
- W2983806937 hasRelatedWork W2951707227 @default.
- W2983806937 hasRelatedWork W4225313301 @default.
- W2983806937 hasRelatedWork W4315777779 @default.
- W2983806937 isParatext "false" @default.
- W2983806937 isRetracted "false" @default.
- W2983806937 magId "2983806937" @default.
- W2983806937 workType "article" @default.