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To describe the interaction between the droplets and the liquid film, three more terms need to be added into the source term of the classic population balance equation (PBE).
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However, the more general terms need to be used.
The S-to-S single-scattering term can be derived similarly as: (A.4) Conversion scattering terms need more careful treatment.
No more terms are needed to explain these logRRs.
This means that, for t close to 0, we need more terms in the series.
Convergence becomes slow and we need much more terms when and are higher and closer to 1.
Mr. Obama, who has two more years in his term, needs a fresh infusion of people and policies.
The relatively wild character of the convergence is observed, however, and 20 or 30 more terms of the series are needed to obtain reasonably accurate results.
His supporters argue that Sissi needs several more terms to achieve his goals of modernizing Egypt and its economy and combating terrorism.
And the shelter staff meets with homeless men and women to help them with their more long-term needs.
Adults with disabilities are opening ABLE accounts to respond to more short-term needs such as covering the cost of transportation to and from work and the purchase of technology not covered by government assistance.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com