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Exact(34)
Let us check the assumption (A1) in Corollary 2.8.
Normal quantile plots were used to check the assumption of normality.
Therefore, whenever time or distance is involved as a factor in a regression analysis, it is important to check the assumption of independent residuals.
We note that we can use either Proposition 2.2(i), or Proposition 2.2 ii), in order to check the assumption (3) in Theorem 2.3.
Unstandardized predicted values and standardized residuals were used to check the assumption of normality.
We performed a Lilliefors test in order to check the assumption that the surrogate data sets follow a normal distribution.
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Let us check the assumptions required in Corollary 3.1.
In the following, we check the assumptions of Theorem 3.3 when T = R.
From the above research, we notice that it is not easy to check the assumptions presented in Theorems 1.1-1.5 1.1-1.5
In the following, we will check the assumptions in Lemma 2.4 to ensure that KAM step is valid for all.
end{cases}displaystyle end{aligned} (14) Our next goal is to check the assumptions of Theorem 2 (Krasnoselskii's fixed point theorem).
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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