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Note that the irreducible subalgebras of u ( k ) are of the form or g + u ( 1 ) where denotes any irreducible subalgebra of su ( k ) (cf. pp.27-28 pp.27-281 of [50]).—andlight generalization is given by the case of an abelian commutant algebra, i.e. dim comm = dim center ( comm and e j = 1 for all j ∈ { 1, …, w }.
An alternative example is given by the case of the diving beetles, Papuadytes.
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We note that the range of the log-likelihood can be limited, because the maximum log-likelihood is zero and the minimum log-likelihood can be given by the case of the uniform distribution for p i (x ).
Indirect proof of the pre-natal origin has been given by the cases of monozygotic twins with genotype-identical leukemia [ 1].
If 1-theta V_{_{L}< x_{3}^) or ((1-theta V_{L}x_{ Poincaré map is given by the second case of (4.32).
If we take all confirmed cases in clusters, except the index case, to be due to human contagion, then an estimate for θ is given by the proportion of such cases divided by the total number observed over the same period.
Formally, the radial mass distribution of the disk is given by the same law as in the case of Y07, i.e., by a power-law function of r with an index γ: (1 where Σ is the surface density of the disk and Σ0 is that at r = 1 AU.
dAn indication that this is indeed the case is given by the fact that additional simulations, in which we consider only one of the two days of data and repeat it yield very similar (qualitative and quantitative) results.
Better prediction performance is given by the DT model for incident cases with medium-long durations, where the MAPE and MAE values are equal to 18% and 12 min, respectively.
The simplest case is given by the experimental setup of Ref. [34] (Figure 1(a)).
A particular case is given by the interaction between a vibrating structure and a reservoir, with the latter conveniently simplified to an acoustic model.
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