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These models use g-prior structures that make computation of Bayes factors convenient.

To make computation of this posterior probability tractable, the spectral CGs are assumed to be diagonal in this circumstance.

An explicit formula based on inversion of a square Vandermonde matrix is derived to make computation of multipolar Laplacian more efficient.

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To minimize the impact of inaccuracies in no-flow and low-flow data, logarithmic transformations of these two variables are used, making computation of the OHCA score more complex.

Dijon has a very low mortality rate and hence division into five strata leads to zero mortality in some of the subgroups, thus making computation of odds ratio for the strata in question infeasible.

Fieller [ 7] introduced a novel way of expressing ratios as linear combination of random variables which made computation of confidence intervals of ratios relatively simple.

Thus, when making computations for an iteration of the algorithm starting in period t, we need not worry about parameters for periods after t+2(t+2).

To make computations feasible, spatial frequency content of face images was selected by decreasing the size of face images and applying high-pass filtering, respectively, rather than performing naive low-pass and band-pass filtering, respectively (see methods).

Using all of the states makes computation intractable, which is why IMPUTE2 restricts the states via its k and k hap parameters.

Notice that Theorem 1 is applicable to obtain the mean field approximation for (vec mu ); however, the number of states of each component may grow very quickly and make the computation of the iterative model inefficient.

In order to make the computation of the eigenvectors very straightforward, we study a network on a ring, but notice that all the tools (analytical/numerical) presented here also apply to a generic cortex.

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