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Because this implies a 1D Poisson process which is homogeneous in time, our model is more general.
However, the condition ∑ n = 1 ∞ ∥ u n ∥ < ∞ is not too reasonable, because this implies that { u n } are very small for n sufficiently big.
Strauss does not reject modern science, but he does object to the philosophical conclusion that "scientific knowledge is the highest form of knowledge" because this "implies a depreciation of pre-scientific knowledge".
Avicenna is cited by Thomas as holding that God's will is unchangeable and never starts anew (an argument advanced also by Averroes), and that it is impossible that God precedes the world in duration, because this implies that time existed before the world and before movement (Metaphysics IX.1).
In order to model such a dichotomous choice behavior, a linear regression model is generally inappropriate because this implies that the variance of the error term is not constant but dependent upon the explanatory variables and model parameters (see Veerbek 2000).
It is interesting from the data presented in Table 1 that collagen and gelatine hold different percentages of water at the same RH, because this implies that in composite collagen and gelatine materials, such as parchment, the percentage of overall water content in the collagen and gelatine phases will be different.
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But their influence rose much more than this implies, because contributions to House Democrats from firms and trade associations fell from $48m to $33m.Since 1996, the unions' influence has been boosted further still, because another source of cash for House Democrats has also dried up.
Thisefore, from (25) we must also have.
As for the synaptic weights, we have the constraint (vert I_{i}^{v} (t )vert in [0,1 ]), because according to (2.9) this implies (max_{t}vert I_{i} (t )-I_{i}^{c}vert leqsigma_{4}).
He has suggested a congruence between Christianity and European culture because both respect the individual; this implies that it is open to question, at best, whether Islam can bed down in Europe with equal success.
"This implies that because upper-income consumers have, relatively speaking, more discretionary income than other Americans, they may decide to open up their pocketbooks for Black Friday, but then spend less as the holidays continue," writes Dennis Jacobe, Gallup's chief economist.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com