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First of all, the main lemmas including operator iteration can be stated as follows.
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First we give preliminaries and the main result, then we present some lemmas, including proving the tightness and identification of the limit law, to prove the main result.
Next, we give the following main lemmas.
The main lemmas we used are the following.
In Section 2, we introduce the main lemmas.
Next, we give the main lemmas as follows.
Next, we give the main lemma used in this paper.
Now we state our main lemma as follows.
The main industries include the Royal Porcelain Factory.
Our main competitors include IBM and Siemens Nixdorf.
Its main brands include SNS Bank and REAAL Verzekeringen.
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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.

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CEO of Professional Science Editing for Scientists @ prosciediting.com