By Allan L. Scherr

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71) all have basically the same form, a sum-of-squares or L 2 measure . We found at Eq. 26) that such a measure is invariant under a unitary transformation. This has a very important ramification. In a wide class of problems, the observer has prior knowledge of a conjugate space to observation space, such that a unitary transformation V connects the probability amplitudes of the two spaces. Also, the conjugate space coordinate is physically meaningful. An example is momentum-coordinate space in quantum mechanics, where V == F, the Fourier transform.

2. Saddlepoint Property Let us test the kind of extreme value in 1 that exists at the solution point in the above space . In particular we are interested in the possibility of a saddlepoint, which would be where 1 is locally maximized in one direction but minimized in the other. Consider, in this light, excursions toward the solution point from a nearby point to its left and above. As the test point moves to the right (toward the solution), the blur increases and, so, 1 decreases . On the other hand, as the test point 36 Frieden moves downward (toward the solution), correlation decreases so that I increases.

58) of the channel capacity information indicates that I grows with N . 78) , if the value of N is not known, it should be estimated as the value that minimizes II I. For example, N = 8 is the smallest value of N that obeys the Dirac commutation rules [3] for the EPI solution for an electron. 56) this defines a four-component wave function 1/fn, n = 1-4. (b) EPI predicts that in situ cancer grows with time as a simple power law ([3, 21] and Chapter 3) with, at first, an unknown value b of the power.