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For convenience we further write (2.6).
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According to the transmission scheme we described, we can further write mathbf{T}_{j} = mathbf{S}_{j}mathbf{H}_{j} where S j is an m×M j random matrix corresponding to the linear combinations performed by the source node, and H j is a random matrix with M j rows corresponding to the linear operations performed by intermediate nodes as well as the random packet losses over the network links.
Having introduced this interference power gain, we can further write I=P G. To characterize G's statistical law, we make use of the closed-form expression, parameterized by σdB, that has been proposed in [16].
Based on the result in Equation (72), we can further write E [ 1 + j μ k - j μ l ] = 1 (81).
Since an analytical formula is available in the literature [16] for the probability law H fs, 0 ≜ H f, 0 H s, 0, we can further write: H0=Hpl,0Hfs,0.
Then, we can further write the probability that w units of energy are committed by RS i in a time slot as gamma_{i}(boldsymbol{s},w,alpha_{e}) = sum_{jin{mathcal J}_{i}(boldsymbol{s})} p_{j}(boldsymbol{s},alpha_{e}) beta_{j}(w).
Further, S k AA) = T k−1 AA), where T k AA) is the chance that, if one draws a random allele at the first locus from generation F k and then a random allele from the opposite individual at the second locus, both alleles are A. We may further write T k AA) as a function of C k−1, S k−1, and T k−1, forming the recursion matrix, Q, which is shown in Supporting Information, Table S1.
6.32pm GMT Q: Will there be a further write off?
A Sunday Telegraph report suggested PwC believed the insurer could avoid any further write downs.
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