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Exact(7)
The problem was then to extract this unique solution.
Moreover, this unique solution has a bounded continuous derivative with respect to x.
Moreover, this unique solution can be expressed in the form (2.2).
Let us denote this unique solution of HFPP (3.1) by (zinOmega).
This unique solution is denoted by and it is called the solution of the initial value problem (3.7), (3.8).
end{aligned} (3.5)has a unique solution in (mathbf{P}_n), and this unique solution is the unique maximizer (Q_{X,Y}).
Similar(53)
In this case the unique solution is given by the formula Y k = Q p ( k + 1 ) n − 1 ¯ F n, n ( J p ( k + n ) n ¯ ) ( I p − J p ) C, (49).
In this case the unique solution is then given by Y k = Q p ( k + 1 ) n − 1 ¯ F n, n ( J p ( k + n ) n ¯ ) ( I p − J p ) C, (16).
Throughout my life, if only in sponsoring the Israeli-Palestinian plan of Geneva and in welcoming its main authors, Yossi Beilin and Yasser Abed Rabbo, at the Palais de la Mutualité in Paris in 2003, I have never ceased to say and to repeat that this is the unique solution that is morally sound and conforms to the cause of peace.
By Lemma 2.3 this solution is the unique solution of (1.3).
(3.18) This x̃ is the unique solution of the optimization problem (1.4).
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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