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math.HO2015
Yet Another Proof of Sylvester's Determinant Identity
Jan Vrbik, Paul Vrbik
In 1857 Sylvester stated a result on determinants without proof that was recognized as important over the subsequent century. Thus it was a surprise to Akritas, Akritas and Malasch…
math.PR2015
Playing Several Patterns Against One Another
Jan Vrbik, Paul Vrbik
We revisit the game in which each of several players chooses a pattern and then a coin is flipped repeatedly until one of these patterns is generated. In particular, we demonstrate…