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The proof in which can easily be adapted to the present situation by replacing the condition of homogeneity by Lemma 2.1 ii).
The Congress considered that the condition of homogeneity referred to earlier might favor an undesirable proliferation of forestry associations.
Thus, our results were derived from the random-effects model, regardless of their condition of homogeneity.
Similar(57)
The results indicated that the drying in the agitated fluidised bed is adapted to guarantee favourable conditions of homogeneity in the bed temperature: the average temperature differences in the bed were less than 0·3 °C.
This makes it reasonable to look at the conditions of homogeneity and isotropy in non-Euclidean cases.
Then conditions of homogeneity and isotropy of the cortical surface are enforced by asking for the probability distribution of the mentioned random variable to be invariant under translations and rotations of this plane.
A closer look at the literature reveals that, when it appears, Euclidean geometry is endorsed only as a way to enforce conditions of homogeneity and isotropy on the two-dimensional surface of cortical V1.
Because symmetry considerations are central to the whole discussion, we need our non-Euclidean spaces to admit enough symmetries for the conditions of homogeneity and isotropy to make sense, and we thus consider the two-dimensional symmetric spaces.
Data were analyzed by one-way ANOVA when conditions of homogeneity of variance were present.
The distribution of the electric potential was derived analytically by solving the Laplace equation in cylindrical coordinates with the boundary conditions of homogeneity of the electric field far from the vessel, boundedness and continuity of the electric potential, and continuity of the electric current density (Kotnik et al, 1997; Kotnik and Miklavcic, 2000).
We impose a condition of local homogeneity on these foliations which ensures that they generate a foliation F under Lie bracket of tangential vector fields.
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CEO of Professional Science Editing for Scientists @ prosciediting.com