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The case of {$\{1,y_{_T},y_{_T}\}$}:

The box {$\{1,y_{_T},y_{_T}\}$} has loops iff {$y_{_T}>2$} ({$z_{_T}>1$}).

Proof:

The cases for {$y_{_T}=1,2$} are easily handled by inspection. For {$y_{_T}>2$}, we see there is a loop.

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Page last modified on December 31, 2013, at 10:19 PM