| Conţinutul numărului revistei |
| Articolul precedent |
| Articolul urmator |
 |
 26 0 |
 SM ISO690:2012SOLTAN, Valeriu. On Grünbaum's problem about inner illumination of convex bodies. In: Acta Mathematica Hungarica, 1995, vol. 69, pp. 15-25. ISSN 0236-5294. DOI: https://doi.org/10.1007/BF01874604 |
| EXPORT metadate: Google Scholar Crossref CERIF DataCite Dublin Core |
  Acta Mathematica Hungarica |
||||||
| Volumul 69 / 1995 / ISSN 0236-5294 | ||||||
|
||||||
| DOI:https://doi.org/10.1007/BF01874604 | ||||||
| Pag. 15-25 | ||||||
|
||||||
 Descarcă PDF |
||||||
| Rezumat | ||||||
A set F C bd K is called by P. Soltan [3] an (inner) illuminating set of a convex body K C E d (i.e. a compact convex set with n o n e m p t y interior) provided for every point x C bd K there is a point y C F such that x it y and the open line interval ]x,y[ is contained in int g . P. Soltan (see [3], [4]) posed the problem on the least number of points in an illuminating set of a convex body in E d, and he has proved that this m i n i m u m number is at most d + 1, with d + 1 characterizing simplices. |
||||||
|
DataCite XML Export
<?xml version='1.0' encoding='utf-8'?> <resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'> <identifier identifierType='DOI'>10.1007/BF01874604</identifier> <creators> <creator> <creatorName>Soltan, V.P.</creatorName> <affiliation>Institutul de Matematică şi Informatică al AŞM, Moldova, Republica</affiliation> </creator> </creators> <titles> <title xml:lang='en'>On Grünbaum's problem about inner illumination of convex bodies</title> </titles> <publisher>Instrumentul Bibliometric National</publisher> <publicationYear>1995</publicationYear> <relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>0236-5294</relatedIdentifier> <dates> <date dateType='Issued'>1995-03-01</date> </dates> <resourceType resourceTypeGeneral='Text'>Journal article</resourceType> <descriptions> <description xml:lang='en' descriptionType='Abstract'><p>A set F C bd K is called by P. Soltan [3] an (inner) illuminating set of a convex body K C E d (i.e. a compact convex set with n o n e m p t y interior) provided for every point x C bd K there is a point y C F such that x it y and the open line interval ]x,y[ is contained in int g . P. Soltan (see [3], [4]) posed the problem on the least number of points in an illuminating set of a convex body in E d, and he has proved that this m i n i m u m number is at most d + 1, with d + 1 characterizing simplices.</p></description> </descriptions> <formats> <format>application/pdf</format> </formats> </resource>
|
|
|
