On the X-ray number of almost smooth convex bodies and of convex bodies of constant width

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Title:	On the X-ray number of almost smooth convex bodies and of convex bodies of constant width
Authors:	ID Bezdek, Károly (Author) ID Kiss, György (Author)
Files:	http://cms.math.ca/10.4153/CMB-2009-037-0
Language:	English
Work type:	Not categorized
Typology:	1.01 - Original Scientific Article
Organization:	IAM - Andrej Marušič Institute
Abstract:	The X-ray numbers of some classes of convex bodies are investigated. In particular, we give a proof of the X-ray Conjecture as well as of the Illumination Conjecture for almost smooth convex bodies of any dimension and for convex bodies of constant width of dimensions 3, 4, 5 and 6.
Keywords:	x-ray numbers, convex bodies, smooth convex bodies, constant width
Year of publishing:	2009
Number of pages:	str. 342-348
Numbering:	Vol. 52, no. 3
PID:	20.500.12556/RUP-8333
ISSN:	0008-4395
UDC:	514
COBISS.SI-ID:	1538155972
Publication date in RUP:	08.08.2016
Views:	2178
Downloads:	43
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