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for the operator described by formula (1.6).
for the operator described by formula (1.5), and.
The minimum norm least squares solution of the problem (5 - 6) is described by formula (24).
This equilibrium is described by formula (1) in the limit under consideration.
As a result, the one-particle quantum-confined hole states (n,l), with the energy spectrum En,l(a) described by formula (8), appear in the QD bulk.
Such an equilibrium is described by formula (1) and oxygen molecules may be found in the lower and upper states of Fig. 1.
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Because all the necessary visual information in the game is described by formulas, nothing needs to be rendered graphically until a player encounters it.
The electron and hole ionization coefficients are described by Formulas 17 and 18 in [18].
This geometry could be described by formulae that he would have seen were akin to those of spherical geometry.
where A and t are sets of demands and traffic intensities of individual call classes described by Formulas 12 and 13.
for every Substitution of these representations in the th equation of the system (2.1) leads to (2.5), where the operator and the function are described by formulas (2.6) and (2.7), respectively.
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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