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Shadow boundaries of typical convex bodies. measure properties
Author(s) -
Gruber Peter M.,
Sorger Hartwig
Publication year - 1989
Publication title -
mathematika
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.955
H-Index - 29
eISSN - 2041-7942
pISSN - 0025-5793
DOI - 10.1112/s0025579300013644
Subject(s) - mathematics , measure (data warehouse) , regular polygon , shadow (psychology) , convex body , mixed volume , geometry , mathematical analysis , convex hull , psychology , database , computer science , psychotherapist
For a typical convex body in E d a typical shadow boundary under parallel illumination has infinite ( d ‐ 2)‐dimensional Hausdorff measurewhile having Hausdorff dimension d 2.