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Chord Functions of Convex Bodies
Author(s) -
Gardner R. J.
Publication year - 1987
Publication title -
journal of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.441
H-Index - 62
eISSN - 1469-7750
pISSN - 0024-6107
DOI - 10.1112/jlms/s2-36.2.314
Subject(s) - chord (peer to peer) , regular polygon , convex body , mathematics , combinatorics , pure mathematics , convex hull , geometry , computer science , distributed computing
Various theorems are proved to show that chord functions, or the generalized k ‐chord functions, at certain sets of points in the plane determine the shape of any convex body uniquely. Consideration is given to special values of k which relate to problems of the equichordal type.