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I imagine undressing, as part of the procedure of proving who I am, part of the degradation.
Similar to the procedure of proving Theorem 2, we establish the following operator identity, which leads to Zhang and Yang's conclusion [10] when (u=q^{-N}) or (v=q^{-N}).
Applying the procedure of proving equation (8) with the use of equalities h_{1,2} biggl(frac{1}{b-a}int _{a}^{b}varphi(x),dx biggr)=frac{1}{b-a} int_{a}^{b}h_{1,2} bigl varphi(x) bigr),dx, (52) we obtain the double inequality in equation (51).
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In the study of Hyers-Ulam stability problems of monomial functional equations, we have followed out a routine and monotonous procedure for proving the stability of the monomial functional equations under various conditions.
The effectiveness and accuracy was judged by various assay procedure to prove authenticity of MIF-II.
In this section, we use the minimax procedure to prove the existence of infinitely many solutions.
We shall use the above procedure to prove the main result of this paper.
Details of the connection between structural rules of Gentzen-Style sequent calculi and their dialogical counterparts are given in Section 4. As a legacy from the philosophical stance of the fathers of the dialogical approach, the systems of dialogical logic are usually constructive procedures to prove the validity of formulas.
Nevertheless, 129P2 mice eventually reached the same level of long-term memory performance in the course of the testing procedure, proving that their ability to learn a visuospatial task was not impaired in general, but was the result of a habituation-related exploratory strategy.
Instead of these procedures, in proving the uniqueness result, for instance, the dissipative inequality is used.
Instead of these procedures, in proving the uniqueness result, the dissipative inequality is used.
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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