A decomposition theorem for neutrices

dc.contributor.author	van den Berg, Imme
dc.date.accessioned	2011-01-21T11:08:45Z
dc.date.available	2011-01-21T11:08:45Z
dc.date.issued	2010-04
dc.description.abstract	Neutrices are convex subgroups of the nonstandard real number system, most of them are external sets. Because of the convexity and the invariance under some translations and multiplications, the external neutrices are models of orders of magnitude. A calculus of external numbers has been developped, which includes solving of equations, and even an analysis, for the structure of external numbers has a property of completeness. This paper contains a further step, towards linear algebra. We show that in R^{k}, with standard k, every neutrix is the direct sum of k neutrices of R. The components may be chosen orthogonal.	en
dc.format.extent	242616 bytes
dc.format.mimetype	application/pdf
dc.identifier.accesstype	restrito_ue	en
dc.identifier.authoremail	nd
dc.identifier.numrev	161	en
dc.identifier.pagina	pag 851-865	en
dc.identifier.revista	Annals of Pure and Applied Logic	en
dc.identifier.scientificarea	333	en
dc.identifier.uri	http://hdl.handle.net/10174/2483
dc.identifier.volume	7	en
dc.language.iso	eng
dc.peerreviewed	yes	en
dc.publisher	Elsevier	en
dc.rights	restrictedAccess	en
dc.subject	Nonstandard analysis	en
dc.subject	external sets	en
dc.subject	neutrices	en
dc.subject	dimension	en
dc.subject	orthogonality	en
dc.subject	orders of magnitude	en
dc.title	A decomposition theorem for neutrices	en
dc.type	article	en

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