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NX designed all the steps of proof in this research and also wrote the article.
Proof Really, some steps of proof trivially work for the parameter dependent case (see [7]).
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This step of proof-of-principle (PoP) or proof-of-concept (PoC) often links between Phase-I and dose ranging Phase-II studies.
Now, the proof of the Theorem (2.3) can be obtained by analogously applying the same technique and steps of the proof of Theorem (2.2).
In the following, the steps of the proof are presented.
Following the same steps of the proof of Theorem 1.1, the conclusion follows.
As the previous theorem and following steps of the proof of Theorem 5.3.
It follows the steps of the proof of Theorem 4.2 given in [15].
Now following the steps of the proof of Theorem 1.1 one can prove the following.
Equations (51) can be obtained following the steps of the proof of Theorem 3.
We cannot grasp immediately that the three angles of any triangle are equal to two right triangles, and must instead construct the steps of a proof.
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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