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Exact(9)
To define (OC) we need some further notation.
Further notation can be found in Table 10.
To proceed with the exposition of our problem, we need some further notation.
First, we introduce some further notation and definitions that will be used later.
We will work with non-anticipative functionals as defined in (Cont and Fournié 2010, Definition 1), i.e., with a family F=(F t ) t∈[0,T] of maps ( F_{t}:D [0,t], mathbb {R}^{d} mapsto mathbb {R}.) For all further notation and relevant definitions, we refer to (Cont and Fournié 2010, Section 1).
Using the further notation O(0_{(d)},C_{(d)})=left{O x: xin (0_{(d)},C_{(d)}) right}, we assume that the random vectors ξ n,n=1,2,… follow the uniform distribution on O(0(d),C (d)), and are independent.
Similar(51)
Let us introduce some further notations.
Before stating the main theorem, we must first introduce some further notations.
At this point, we need further notations to state the necessary assumptions for the proof.
In Section 2, we introduce some further notations and recall some useful results, which will be used in the later section.
Further, our notation is more compact, which has shown to be helpful for developing coverage-preservation criteria.
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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