Sentence examples for divergence of order from inspiring English sources

The Rényi divergence of order α, (alpha geq0), (alphaneq1) for the probability distributions (mathbf {p}=(p_{1},ldots,p_{n})) and (mathbf{q}=(q_{1},ldots,q_{n})) is defined as D_{alpha}(mathbf{p},mathbf{q}):=frac{1}{alpha-1}log Biggl(sum_{i=1}^{n}q_{i} biggl( frac{p_{i}}{q_{i}} biggr)^{alpha } Biggr).

To the contrary, in the vertebrate lineage, evolution of the four families of major cyclins (except for B3) turned out to be, in one way or another, related to progressive evolution from the emergence of chordates at the time of the Cambrian explosion to at least the divergence of orders.

We estimated the age of the gene duplications relative to several speciation events within spiders and arachnids and found that the duplications likely occurred after the divergence of scorpions (order Scorpionida) and spiders (order Araneae), but before the divergence of the spider suborders Mygalomorphae and Araneomorphae, near the evolutionary origin of spider silk glands.

On the other hand, little is known concerning parabolic systems in divergence form of order 2m with quadratic growth and the corresponding analytic properties of solutions.

More precisely, we are concerned with the following Dirichlet problem for a homogeneous equation in divergence form of order 2m: { ∑ | α | = | β | = m D α ( a α β ( x ) D β u ( x ) ) = 0 in  R l n, ∂ j u ( x ) ∂ ν → j | ∂ R l n = 0, j = 0, …, m − 1, (1.2).

We want to consider the following differential equation in divergence form of order 2m, m ∈ N, in certain unbounded domains of R n, n > 2 : ∑ | α | = | β | = m D β ( a α β ( x ) D α u ( x ) ) = f ( x ), (3.1).

Several models describing the divergence of gene order in evolution have been proposed [ 18, 32]; in Table 1 we summarize them and we add three new models fortesting.

Within the context of intron evolution in the order Bangiales, this scenario is possible assuming the hypothesis that more than one intron insertion events has occurred during the divergence of the order [ 5].

It has been argued that they may have a very recent divergence of the order of thousands of years (Wilson et al. 2009), whereas another study suggests that the two taxa may actually be converging (Sheppard et al. 2008).

These estimations will play an important role in investigating convergence or divergence of higher-order Hermite-Fejér interpolation polynomials (see [3, 5 17]).

These estimations will play an important role in investigating convergence or divergence of higher-order Hermite-Fejér interpolation polynomials (see [5 16]).