Definitions of tuning terms

© 1998 by Joseph L. Monzo

All definitions by Joe Monzo unless otherwise cited


geometric complexity


    I gave a definition of geometric complexity using natural logs; Graham suggested log base 2 instead. He also proposed taking the dth root of this, where d is the codimension of the wedgie--that is, the number of commas used to define it.

    If G is the Graham geometric complexity under this definition, R is (rms or minimax, etc.) error, and n = pi(p) is the number of primes in the p-limit we are looking at, the formula for geometic badness now becomes

      B = R G^n

    which is pretty nice. Does anyone have a concern about switching definitions to the Graham version, which looks to me like a good idea?


    [from Gene Ward Smith, Yahoo tuning-math list message ______"


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