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Here uniqueness of ( r i, q i ) and the bound 0 ≤ r i ≤ ( k - 1 ) ! - 1 follows from the relation r - i k = ( k - 1 ) ! q i + r i as consequence of Division algorithm.
From the relation (2.4) it follows that a q ( k ! l + r, k ) = ∑ i = 1 k - 1 q ( ( k - 1 ) ! ( k l + q i ) + r i, k - 1 ) Here too uniqueness of ( r i, q i ) and the bound 0 ≤ r i ≤ ( k - 1 ) ! - 1 follows from the relation r - i k = ( k - 1 ) ! q i + r i as consequence of Division algorithm.
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And one important consequence of this division is an utterly different read on recent history.
Tension between the judges and the home secretary has reached such a stage that Lord Woolf has referred to a breakdown of trust.Another consequence of the division of responsibilities is that the law is a mess, and the Home Office has no interest in reforming it.
He then criticized the king for his concern over the relatively few deaths at the gathering, in light of the number of people who would die as a consequence of his division of Imerina.
On the other hand, decreased brain activity in eye movement control centers could be interpreted as a direct consequence of the division of attentional resources.
There is an initial bidirectional increase in expression of genes at the origin which continues around the chromosome and is completed in about 40 min. These data correlate well with the increase in DNA content shown in Figure 1A where chromosome duplication is complete in about 40 min and an increase in cells with a single genome equivalent is apparent at 82 min as a consequence of cell division.
The studies of climate change impacts on human health, as a consequence of the division of labour, have often been split into a number of areas.
Root growth is a consequence of cell division in the meristematic zone and cell elongation in the elongation zone.
The cell shape and morphology of all plant tissues are a consequence of cell division and expansion throughout the plant's life cycle.
Whatever the reason for DNA content change, it always arises in the progeny cells as a consequence of cell division imperfections, resulting in another enormous reservoir of genetic variability.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com