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Bias (Series)

The bias of a Series is defined as

Q[a_i, a_{i+1}, a_{i+2}]\equiv {a_i a_{i+2}-{a_{i+1}}^2\over a_i a_{i+1} a_{i+2}}.

A Series is Geometric Iff $Q=0$. A Series is Artistic Iff the bias is constant.

See also Artistic Series, Geometric Series


Duffin, R. J. ``On Seeing Progressions of Constant Cross Ratio.'' Amer. Math. Monthly 100, 38-47, 1993.

© 1996-9 Eric W. Weisstein