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http://hdl.handle.net/10773/4153
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Almeida, R | pt |
dc.contributor.author | Neves, V | pt |
dc.contributor.author | Plakhov, A | pt |
dc.date.accessioned | 2011-10-13T12:07:59Z | - |
dc.date.available | 2011-10-13T12:07:59Z | - |
dc.date.issued | 2009 | - |
dc.identifier.issn | 1812-9471 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/4153 | - |
dc.description.abstract | We present a direct construction of retroreflecting curves by means of Nonstandard Analysis. We construct non self-intersecting curves which are of class C(1), except for a hyper-finite set of values, such that the probability of a particle being reflected from the curve with the velocity opposite to the velocity of incidence, is infinitely close to 1. The constructed curves are of two kinds: a curve infinitely close to a straight line and a curve infinitely close to the boundary of a bounded convex set. We shall see that the latter curve is a solution of the problem: find the curve of maximum resistance infinitely close to a given curve. | pt |
dc.description.sponsorship | CEOC | pt |
dc.description.sponsorship | FCT | pt |
dc.description.sponsorship | FEDER/POCTI | pt |
dc.language.iso | eng | pt |
dc.publisher | National Academy of Sciences of Ukraine | pt |
dc.rights | openAccess | por |
dc.subject | Nonstandard Analysis | pt |
dc.subject | Retroreflectors | pt |
dc.subject | Maximum resistance problems | pt |
dc.subject | Reflection | pt |
dc.subject | Billiards | pt |
dc.title | Retroreflecting curves in nonstandard analysis | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.firstPage | 12 | pt |
degois.publication.issue | 1 | pt |
degois.publication.issue | 1 | - |
degois.publication.lastPage | 24 | pt |
degois.publication.title | Journal of Mathematical Physics, Analysis, Geometry | pt |
degois.publication.volume | 5 | pt |
Appears in Collections: | CIDMA - Artigos DMat - Artigos |
Files in This Item:
File | Description | Size | Format | |
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maximumresistance.pdf | 223.52 kB | Adobe PDF | View/Open |
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