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We define P⊆R n as the vector-space (event-space) spanning all possible values vector p may take, and D⊆R m as the vector space spanning all possible instances of the duration vector d.
Just like the APC diagram allows for all possible combinations of period, cohort and age we may consider the vector space P spanning all possible instances of p. The calculation of durations between events as described in Proposition 2 can then be understood as a linear transformation from a vector space P whose bases represent events to a duration vector space D whose bases represent durations.
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The following examples show how different demographic time frameworks can all be expressed as instances of the event-duration vector space defined above.
The scene durations were normalized as in the previous studies and the scene-duration vector was analyzed using the exact local Whittle estimator, as in Studies 2 4.
Results show that the shortness of the scene-duration vectors does not contribute markedly to the results in the left panel of Fig. 7.
Left: A scatterplot of the increase in long-range dependence, measured by the exact local Whittle estimator and of the scene-duration vectors of 24 movies from 1940 to 2010.
Thus, the results of both Studies 3 and 4 strongly suggest that one of the results of Studies 1 and 2 – the increase in long-range dependence shown in the shot-duration vectors in more recent films – is, contrary to Salt (2010), not simply a result of a movie having more shots.
The advantage of using the i-vector representation is that any speech utterance with a variable duration length can be represented as a fixed length vector.
Most importantly, this response may extend beyond the duration of vector-mediated transgene expression and improve the efficacy of existing protein replacement therapy by preventing the induction of neutralizing antibodies, which represent one of the major hurdles of this treatment.
Previous studies did not resolve the question of whether WNV-infected equids produce viremia levels of sufficient magnitude and duration to infect vector mosquitoes.
In order to assess the duration of Ad vector-mediated transgene expression in neonatal mice, in vivo bioluminescent imaging was carried out following Ad-AHAL2 administration.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com