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In order to validate the reasoning given above, we evaluate the derivative of the outage probability in the presence of fading for M=1and N=0; d P ¯ out ( CSMA TXRX ) d β t ≈ 1 − P ¯ during d P ¯ b d β t + 1 − P ¯ b d P ¯ during d β t = 0. (38).
Indeed, by considering the size effect on the vacancy formation energy in the vacancies concentration of bulk materials c v,∞ = C exp (−E v,∞/kT) (C being a constant considered size independent), we get Eq. 9which is similar to the one obtained earlier by Qi et al. [25], validating then the reasoning based on Eq. 3. (9).
Although validating the grammatical reasoning test was not the aim of their research, they reported a correlation of 0.44 between their two measures of intelligence.
Another evidence that we can use in order to validate that reasoning can be considered as a subcategory of the huge concept of critical thinking is the Schafersman's (1991) classification of diverse subparts of critical thinking in which he pinpoints 'reasonable thinking' which is described by a dependence on reason to search for and determine reliable knowledge.
The reasoning behind not using all datasets for EFA was to cross-validate the factor structure with additional data from the remaining years.
Using the decision trees, the reasoning process is followed for each combination and the conclusions of the system are validated against the end nodes of the tree.
The reasoning?
The reasoning was clear.
The reasoning is sensible.
The reasoning is straightforward.
The reasoning is weak.
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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