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The fragmentation of a line of balls by an impact

โœ Scribed by Hinch, E. J.; Saint-Jean, S.

Book ID
118276272
Publisher
The Royal Society
Year
1999
Tongue
English
Weight
234 KB
Volume
455
Category
Article
ISSN
0962-8444

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Let F n denote a family of disjoint n balls in R d (d 2), and let \*=\*(F n ) denote the ratio (maximum radius)ร‚(minimum radius) among the balls in F n . We prove that (1) there is a unit vector uร such that every line parallel to uร intersects at most O(-(1+log \*) n log n) balls of F n , and (2) t