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In Section 3 we derive via partial summation the so-called Dirichlet's formula, which yields the crucial identities (3.3).
The English words 'representation' and 'to represent' derive via Old French from the Latin words 'repraesentatio' and 'repraesentare,' but these are by no means commonly used words in classical Latin.
In the monocot plant rice (Oryza sativa, O. glaberrima), the diterpenoid phytoalexins have been identified to derive via the common biosynthetic origins in the initiating dual cyclization and/or rearrangement of GGPP precursor.
Safranum may derive via the Persian intercessor زعفران, or za'ferân.
MG can also derive via the Maillard reaction in vivo under physiological conditions, similar to what is observed during food cooking and through the glycation of macromolecules and the autoxidation of carbohydrates [ 43].
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Since Sondheim's musical derives, via a Christopher Bond adaptation, from 19th-century melodrama, it has long been played as a Victorian period piece about a vengeful barber.
The opera's Breughelland setting derives, via a play by Michel de Ghelderode, from Pieter Bruegel's fabulously grotesque paintings, such as "The Triumph of Death"; Ligeti mentions Bosch, Magritte and the cartoonist Saul Steinberg as other artistic inspirations.
Similarly, (37) and (38) can be derived via Theorem 1. □.
The negative $6.5 trillion total net position isn't derived via balanced accounting entries.
Identifiers are derived via secure hash functions so that attackers cannot easily choose their positions.
Many new explicit solutions can be derived via the solutions obtained [30].
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