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When considering a more general set-up with multiple regressors, these moments are conditional on all other variables, i.e. partial correlations.
Thus, P-values calculated by this test are valid in a more general set-up, i.e. for larger classes of probability distributions, than with the other tests.
We should be helping the Congo, and Africa in general, set up more stable and lasting governments so that they can deal with their issues and not have to let people suffer.
The general set up for image error diffusion is shown in Figure 16.
(6) Our theorems are formulated in a more general setting.
Our theorem is formulated in a more general setting.
In the next section, we explore a more general setting.
Scores more set up on nearby beaches.
More than 300 NGOs have united under the acronym Gear (Gender Equality Architecture Reform) to push for governments and the UN secretary general to set up the new super-agency.
This is also consistent with the more general guideline for overrepresentation analysis, "to set up the population background as the pool of genes that have a chance to be selected for the studied annotation category in the scope of the users' particular study" [ 29].
In A - M o d ∞ we have ℓ (U A ) = 0. Before we begin the proof, we set up the more general comodule notation and define a weaker class of maps Map C k (P, P ′ ) between two DG comodules of a coalgebra C. First, given a DG coalgebra C ∈ C o g and DG comodule P, we have a canonical filtration on P given by P [ k ] ≔ ker (Δ ¯ P k ).
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