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We combine the pair density approximation, which is highly accurate but feasible only for the isotropic interactions between atoms, with the Takahashi Imada approximation for general interactions.
We show that the time evolution of the wave function describing the macroscopic variations of the pair density in BCS theory can be approximated, in the dilute limit, by a time-dependent Gross Pitaevskii equation.
According to (5), the model construction includes two parts: 1) margin distribution estimation and 2) dependent model construction, i.e., the estimation of every bivariate pair density c j,i+j|j+1,…,i+j−1 evaluated at conditional CDF F e j |e j+1,…,e i+j−1) and F e i+j |e j+1,…,e i+j−1).
The reduction in breeding pair density may have reduced stress on the birds.
We utilized the genomic location and gene pair density of rice genes and their homologs to distinguish WGD-related segmental duplications from local and background duplications.
It has been shown that antisense-sense ratio (AS:S) was unevenly distributed across the mouse genome, with some chromosomes having higher (or lower) AS:S pair density than the genome average [ 22].
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The pair densities are estimated in the sequence of the tree number.
To develop the Pair-Copula model, five typical Copula function, i.e. Gaussian, Student t, Clayton, Gumbel and Frank Copulas are selected as candidates for estimating the pair densities.
Our experimental parameters (particle size pair, densities, layer thickness ratios) were not chosen to closely match or scale those of the sedimentary rocks in Figure 1.
To test the hypothesis of segregation of cells depending on receptor ligand pair densities, we engineered gonococcal strains with different pilus densities.
In our study, the plots with naturally high numbers of young were also the plots with generally high breeding pair densities, and juvenile annual local survival was reduced in such plots (Michler et al. 2011).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com