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When a new pixel value I t is observed, the probability of its value is calculated from this density estimate.
Apart from this, density functional theory (DFT) calculation and molecular dynamics (MD) simulation were also used to elucidate their collecting mechanism.
From this density it immediately follows that the standard k-variate slash t distribution S L T k (q,r) is symmetric about 0 as the standard k-variate t is so.
From this density map, the median density was calculated at five standardized regions of interest (ROI); on the left and right side of the upper and lower bout, and one at the centre (see Figure 3); care was taken to avoid regions of repair work.
It follows that the deviance from this density is: (20) where and is the maximum likelihood estimate of τ j.
From this density, we finally can compute the filter density with respect to L X t by applying Bayes' theorem: (26) f ^ t X t | Y 1 : M (x t | y 1 : M ) = f ^ t X t, Y 1 : M (x t, y 1 : M ) f ^ t Y 1 : M (y 1 : M ) where (27) f ^ t Y 1 : M (y 1 : M ) = ∫ X t f ^ t X t, Y 1 : M (x ~ t, y 1 : M ) d L X t (x ~ t ) is the data likelihood with respect to the measure ∏ j = 1 M μ Y j.
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It is still an open problem to ascertain the optimal deployment of vaccination in households when transmission deviates from this density-dependent ideal.
From this traffic density surface, we calculated mean traffic density within each 100 m grid cell.
In some simulations, we obtain this density from data; in particular, each p i is set to the observed frequency of females producing i pups, with the convention that p j =0 for all j>18.
Standard curves were constructed for THP-1 cells using known plating densities, allowing the cell number to be calculated from this optical density reading.
Using Hamiltonian formalism, an exact acoustic energy balance can be derived from this Lagrangian density.
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