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Title: | Mathematics at DEC |
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Moderator: | RUSURE::EDP |
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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 09:41
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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