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Movement of messenger proteins in the cytoplasm is thought to be dependent on random walk.
In a recent paper, Liu [ 57] showed that the hazard of death may be dependent on random effects from various levels.
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It is observed from (13) and (18) that pb, k, i[m] is dependent on random matrix H ^ [ m - M d ], so we need to calculate the expectation of pb, k, i[m] with respect to H ^ [ m - M d ] as follows.
Introgression has the potential to allow adaptation to evolve at rates that may considerably exceed those possible for non-hybridizing populations that are dependent on random mutation for genetic novelty (Barton 2001).
Moreover, the form in (4) has some interesting implications with regard to simplifying the evaluation of performance results related to communication problems, for example, as seen later to the SEP performance evaluation over fading channels, wherein the argument of the -function is dependent on random system parameters and, thus, requires averaging over the statistics of these parameters.
Sana (2014) develops a production-inventory model of a two-stage supply chain consisting of one manufacturer and one retailer to study production lot size/order quantity, reorder point sales teams' initiatives where the demand of the end customers is dependent on random variable and sales teams' initiatives simultaneously.
However, they did not perform more than ten simulations, so the possibility that their conclusions were dependent on random chance cannot be excluded.
As these analyses are dependent on random allocation of controls, we repeated the random allocation 300 times by simulation to check for the consistency of reported results, which were found to be reasonably robust.
Sana (2011) presented a stochastic inventory in which demand was considered to be dependent on the random selling price.
In this approach the value of the specific surface energy (the critical energy release rate) is assumed to be dependent on a random microdamage distribution in the material.
Or is it the part that suggests that a key factor in the electability and, dare I say, presence of a female politician on a national stage can be dependent on something as random as the placement of her eyebrows?
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com