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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

1854.0. "College Mathematics Journal #522" by RUSURE::EDP (Always mount a scratch monkey.) Wed Mar 16 1994 13:36

    Proposed by Frank Schmidt, Arlington, VA.
    
    Let V be a vector space of dimension n over a finite field F.  For any
    v in V and any basis B = { b[1], ..., b[n] } of V, express v in terms
    of B, say v = sum(a[i]*b[i], i=1..n), and define the weight wt[B](v) of
    v relative to B to be the number of a[i] != 0.  Hence 0 <= wt[B](v) <=
    n.  Find the average weight of v over all bases B of V.
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