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(We first assume that they are ignorant, then idiotic, finally evil).
We first assume that the equilibrium between supply and demand determines the optimal transfer price and amount.
We first assume that the appointment intervals are fixed according to a given template and analytically investigate the optimality of the SVF rule.
To project future PFC emissions we first assume that all new smelting capacity is constructed using what is currently the lowest emission technology (BAT-PB).
We first assume that each local bidder values only a specific item, e.g. the license for the region where it has monopoly power, and that global bidders' valuation functions are convex.
We first assume the following.
We first assume that H is adjoint.
We first assume that n is even.
(i) We first assume that (a>b).
We first assume that (fin H^{varphi}cap L^{2}).
We first assume that the mapping satisfies (1.6).
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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