Unified definition of divergence, curl, and gradient
dc.contributor.author | Tai, Chen-To | en_US |
dc.date.accessioned | 2006-09-08T19:37:51Z | |
dc.date.available | 2006-09-08T19:37:51Z | |
dc.date.issued | 1986-01 | en_US |
dc.identifier.citation | Tai, Chen-to; (1986). "Unified definition of divergence, curl, and gradient." Applied Mathematics and Mechanics 7(1): 1-6. <http://hdl.handle.net/2027.42/41781> | en_US |
dc.identifier.issn | 0253-4827 | en_US |
dc.identifier.issn | 1573-2754 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/41781 | |
dc.description.abstract | In this note the differential expression of divergence, curl, and gradient are derived based on one common model. Each of them involves the limiting value of a differential quantity per unit volume. By taking advantage of some differential relations of the unit vectors weighted by the metric coefficients, the full expressions of these three quantities in vector analysis can be readily derived. | en_US |
dc.format.extent | 189511 bytes | |
dc.format.extent | 3115 bytes | |
dc.format.mimetype | application/pdf | |
dc.format.mimetype | text/plain | |
dc.language.iso | en_US | |
dc.publisher | Kluwer Academic Publishers; Shanghai University of Technology (SUT) ; Springer Science+Business Media | en_US |
dc.subject.other | Mathematics | en_US |
dc.subject.other | Applications of Mathematics | en_US |
dc.subject.other | Mathematical Modeling and Industrial Mathematics | en_US |
dc.subject.other | Mechanics | en_US |
dc.title | Unified definition of divergence, curl, and gradient | en_US |
dc.type | Article | en_US |
dc.subject.hlbsecondlevel | Mathematics | en_US |
dc.subject.hlbtoplevel | Science | en_US |
dc.description.peerreviewed | Peer Reviewed | en_US |
dc.contributor.affiliationum | Department of Electrical Engineering and Computer Science University of Michigan, Ann Arbor, Michigan, USA | en_US |
dc.contributor.affiliationumcampus | Ann Arbor | en_US |
dc.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/41781/1/10483_2005_Article_BF01896246.pdf | en_US |
dc.identifier.doi | http://dx.doi.org/10.1007/BF01896246 | en_US |
dc.identifier.source | Applied Mathematics and Mechanics | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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