First, a baseline model is fitted (Equation 2) referred to as model A. This model excludes the field and laboratory terms (terms indexed with an L or F in Table 4) and assumes that the genetic covariance between the two trials θ g 1 g 2 is zero.
Upon building classification models for the overall set (that includes participants from all ethnicities) by excluding the ethnicity field, we find that the resultant classification accuracies are reduced by at least 6%.
Additional statistical tests were calculated excluding the planimetrical risk fields A, B and C next to the gumline to demonstrate the effect of gingival masks around typodonts.
Mass conservation is ensured by excluding the fictitious velocity field in the discretized continuity equation.
The maximum difference was about 19.5 % at test location 28, excluding the locations with field CBR values of 55 and 83 %.
Carpet cloaks designed by optical transformation usually include a perfect shield, which exclude the electromagnetic fields from the under cloaked region.
The first component uS0 represents the scattered fields excluding the effect of region 2. It corresponds to the scattered fields regarding the case of completely empty semi-circular canyons, that is, u S 0 r 1, θ 1 = ∑ n = 0 ∞ A ˜ n H 2 n 2 k 1 r 1 cos 2 n θ 1 + ∑ n = 0 ∞ B ˜ n H 2 n + 1 2 k 1 r 1 sin 2 n + 1 θ 1, (8).
The presence of adventitious Bt plants (i.e., seed-mediated gene flow) did not differ between edge and interior samples either (paired t-test excluding the planting mistake in field C, t9 = 0.39, two-sided P = 0.71).
Ninety percent of patients received mantle radiation fields, with 10% receiving mediastinal-involved field radiotherapy excluding the axillae.
Under these conditions, superconductors exclude the magnetic field from their interior, as could be predicted from the laws of electromagnetism and the fact that the superconductor has no electric resistance.
