Supplement to Index assignment for two-channel quantization
In the paper Index assignment
for two-channel quantization, my
coauthor József Balogh and I assert that for various values of
N, it is possible to arrange N^2 consequtive
integers in an N-by-N matrix in such a way
that the maximal variance in a row or column is no more than a certain
V(N), which is listed for each N. Here we exhibit the
arrangements that form the basis of these claims. Click on any variance
figure below to reveal the corresponding arrangement.
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4.01.
Research papers