In order to derive the master equation it is supposed that each resonator is weakly coupled to its respective bath, and that all bosonic baths are in thermal equilibrium, with mean thermal phonon number n̅.
The present work has adopted the stochastic population balance of the system to derive the master equation for predicting the statistics of this molecular weight distribution of tar as functions of time.
He has had pangs of conscience in recent years about re-ripping the music at higher quality, and knows that the digital versions sold are from far better sources often derived from master digital recordings than a mass-produced CD.
By introducing the time temperature equivalence principle, a shift factor obeying to an Arrhenius law is derived, and master curves are built as well for the average molar mass as for the ultimate mechanical properties.
To verify that soy-mSEB is present only in seed and not in the leftover biomass, protein was extracted from leaf, stem, and root material and compared with protein derived from master seed powder stocks.
If there is no agreement whatsoever, what benefit can a political master derive from receiving a paper with five or six conflicting opinions on a given issue After all, these are not academic exercises but action-orientated briefs.
Likewise, pupils of Schoenberg during the early 20th century wrote music recognizably derived from their master's systems.
More and more, consumers are buying so-called real tones, those derived from the master recording of the music, over traditional, computer-generated ring tones.
Mixing historical facts and stories with instances of the fantastic is a practice that García Márquez derived from Cuban master Alejo Carpentier, considered to be one of the founders of magic realism.
Another twenty-five per cent comes from crowdfunding (recently, the Tyee persuaded supporters to pledge a total of a hundred thousand dollars, annually, so that it could place a reporter in the Canadian capital of Ottawa), and five per cent derives from holding "master classes" taught by Tyee reporters.
