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This does not require a particular form of spatial distribution of reflected ions albeit it is necessary that the reflected ions should fall on the neighbouring facets.
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And with strands drawn together, the message is clear: that the uncharted territory that was North America was harsh and unforgiving and required a particular form of robust masculinity to be successfully tamed.
While the CS framework requires a particular form of sampling (incoherent sampling), the related paradigm of low-rank matrix recovery (MC) assumes a random sampling of the matrix entries.
Moreover, modularity requires a particular form in order to increase evolvability, specifically an alignment between environmental selection gradients and organismal variation in phenotypic space (Altenberg 2005).
Both require a particular sort of selflessness to bring them to life.
It requires a particular kind of courage.
They are among the most important interactions in small and large biological molecules because they require a particular molecular conformation to be formed and, when formed, they confer additional rotational stability to the resulting conformation [15].
We show that step 3 can be reduced to a weighted itemset mining problem, easily solvable using existing optimization techniques (see Methods section 3.1.3), whereas step 4 requires solving a particular form of fractional programming problem, for which we developed an efficient pruning approach (see Methods section 3.1.4).
Unlike many writers, Atwood does not require a particular desk, arranged in a particular way, before she can work.
They obviously require a particular treatment.
In particular, we can expect a particular form of Bertrand competition [13].
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