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Conference rusure::math

Title:Mathematics at DEC
Moderator:RUSURE::EDP
Created:Mon Feb 03 1986
Last Modified:Fri Jun 06 1997
Last Successful Update:Fri Jun 06 1997
Number of topics:2083
Total number of notes:14613

1682.0. "Olympiad Corner No. 131, 23" by RUSURE::EDP (Always mount a scratch monkey.) Mon Oct 26 1992 12:41

    We call a set S on the real line R super-invariant if for any
    stretching A of the set by the transformation taking x to A(x) =
    x0+a(x-x0) there exists a translation B, B(x) = x+b, such that the
    images of S under A and B agree; i.e., for any x in S there is a y in S
    such that A(x) = B(y), and for any t in S there is a u in S such that
    B(t) = A(u).  Determine all super-invariant sets.
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