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Note that while COPY is an unbiased function, both AND and OR are biased.
The i th node can then estimate b ~ j 0 by using the best affine unbiased function of the received information: b ̂ j 0 ( K ) = ρ j, i T ( K ) Z j, i ( K ) + η j, i ( K ).
Then the i th node estimates ψ i (k) using the best affine unbiased function of the received information: ψ i ̂ ( k ) = ∑ j ∈ N i α j, i ( k ) b j, i ( k ) + β j, i ( k ) where α j, i ( k ) = r j, i ( k ) r j, i 2 ( k ) + σ j, i 2 q j ( k ) ( 1 − q j ( k ) ) and β j, i ( k ) = 1 − α j, i ( k ) r j, i ( k ) q j ( k ), (3).
Otherwise, which is a complementary event with probability 1 – p, the unbiased function f H G (cos θ S ) is selected to draw a random value of cos θ s and cos θ B = v ^ ⋅ u ^ ' is a function of cos θ s.
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Proof We will prove only the first part of the theorem; the second part then follows from the observation that the only nonconstant cooperative unbiased Boolean function that takes at most two inputs is the COPY function.
We show that by using wavelet coefficients at clearly identified geomagnetic events, we are able to recover the unbiased response function obtained through robust remote processing algorithms.
The set of variables that act as an input to at least one unbiased regulatory function has size less than 2 ( 1 − α ) n, thus we must have | I 2 | > 2 α n − n − | I |.
However, determining an unbiased objective function in a eukaryotic system is often difficult.
The proposed self-tuning controller is designed using a very simple control rule-base and the most natural and unbiased membership functions (MFs) (symmetric triangles with equal base and 50% overlap with neighboring MFs).
In the bisection task for both observers, the biased and unbiased psychometric functions differed significantly (Table 1), but not in the fit with different means and the same σ in the two blocks.
For example, about half of intergenic DE bins overlap ESTs (Table 3), with the majority of them overlapping EST introns (Table 3), suggesting that the labels "intron" or "exon" should not influence an unbiased investigation of function.
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