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Theorem 3 and Corollary 11 can be applied to formally explain the important property of system fusions when the 'whole' and 'parts' of the given system refer to its components C or behaviors B. But, it is noteworthy that the empirical statement is untrue when the 'whole' and 'parts' denote the work products of the system as analyzed in the following.
Even though there are debates on how to formally explain the convergence problem in modern classical theory (e.g. see a survey by Bellino 2011), it is still legitimate to use it as a reasonable assumption, given the fact that plenty of empirical observations support the idea of convergence (Petri 2011).
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Corollaries 13 and 14 formally explain the theories behind the universal phenomena of system science such as why systems tend to adopt tree structures in formal organizations and what advantages of hierarchically normalized systems are in system organization.
In each cluster, the centroid p l has been calculated, together with the Euclidean distance from it to each song, as formally explained in Equations 3-6.
It is now understood that Zeno was trying to come to grips with the notion of limit, which was not formally explained until the 19th century, although a start in that direction had been made by the French encyclopaedist Jean Le Rond d'Alembert (1717 83).
Yes... * The Bank of England is close to being forced formally to explain why it has allowed inflation to move above 3 per cent * Interest rate rises made to restrain inflation are already hitting homeowners hard and may continue * For pensioners and homeowners inflation is much higher than official measures show No... * The Bank of England has already taken action to bring inflation back down.
It climbs to a cacophonous climax, with vocals hidden in a mash of noise My Chemical Romance never formally explained their split, stating on their blog, "Like all great things, it has come time for it to end".
But neither he nor the administration ever formally explained those practices, and what safeguards protect the innocent.
The Islamic Group's imprisoned leaders wrote a series of books and pamphlets, collectively known as "the revisions," in which they formally explained their new thinking.
"When we perform, it's not like a classical recital, where we're standing quite formally," explained the group's bass-baritone, Nick Garrett, 30, over dinner at a Midtown Manhattan restaurant.
The government has never formally explained how it decided which visa violators would be singled out for this extraordinary process, and it has insisted that the designations could not be reviewed by the courts.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com