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Exact(7)
As a consequence of this experimental design, the factor family was actually nested within the factor cross as it was not possible to produce the four crosses from a given pair of male and female (whose offspring formed a given family).
The direct problem (1.5) is to get the solution from a given pair w.
As an application of our general results on biorthogonal matrix extension with symmetry, we obtain a satisfactory algorithm for constructing univariate biorthogonal multiwavelets with symmetry for any dilation factor d from a given pair of biorthogonal d-refinable function vectors with symmetry.
At the beginning of each experiment (0800 h GTM), when females were still inactive, we took a paper strip from each of the two males from a given pair (one C-male and one S-male matched in size; see above) and fixed their strips on alternate ends of the female's terraria (side was chosen randomly).
All these coefficients can be calculated for the whole data set (all mating types) or comparing exclusively data from a given pair of mating types.
We then provide analytical results for the expected identity for two alleles drawn randomly from a given pair of populations, and we find that the qualitative patterns produced by the formulas closely match those observed from human genetic data and the simulations of Hunley et al. (2009).
Similar(52)
Therefore, in compiling our nonredundant set of subunit pairs, we only considered the largest interface for a given pair of subunit types from each complex (e.g., only the largest α-β interface in 2F9Y).
The sampling procedure was computer assisted with StereoInvestigator software (Microbrightfield Inc., Williston, VT, USA) so that the total volume of tissue sampled from each region in a given pair of alcohol and control brains was controlled at an identical value.
From TRAIN-N, the probabilities that a given pair of genes is functionally associated were estimated from the coannotated GO term frequency bin values (pGO) according to Bayes rule (Equation 1).
If and be the rotations from CRFa and CRFb to the mid-point, respectively, then a given pair of vector measurements from Swarm A and B are transformed to differences and sums via the following orthogonal transformation (54 The covariances are similarly transformed as (55 where the notation C is now used to indicate auto or cross-covariance.
This has a particular interest, as PC removes interactions in a given pair coming from common neighbors, the so-called indirect effects.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com