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ERIC Number: EJ681896
Record Type: Journal
Publication Date: 2004-Jan-1
Pages: 2
Abstractor: Author
Reference Count: 3
ISBN: N/A
ISSN: ISSN-0020-739X
Compact, Convex, and Symmetric Sets Are Discs. Classroom Notes
Lynch, Mark
International Journal of Mathematical Education in Science and Technology, v35 n2 p268-269 Jan 2004
Define the centre of a parallelogram to be the intersection of its diagonals. It was shown in an earlier paper that the intersection of arbitrarily many parallelograms with the same centre is the unit disc about that centre in a metric defined using ideas from Linear Algebra. In this note, it is shown that this characterizes compact, convex sets, which are symmetric about a point.
Descriptors: Algebra
Customer Services for Taylor & Francis Group Journals, 325 Chestnut Street, Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420 (Toll Free); Fax: 215-625-8914.
Publication Type: Journal Articles; Numerical/Quantitative Data; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A