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For the three models and their associated D-optimal designs, the design optimality was verified using the general equivalence theorem.
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Formulating criterions for producing equivalent (equivalence classes of) score functions turns out to be most straightforwardly achieved using the general score function definition (3).
For 44 analytes (including 20 with significant differences between GMO and counterpart) equivalence was established in a formal test of equivalence (at the 95% confidence level) using the estimated equivalence limits.
The network structure was discovered using the Greedy Equivalence Search GESS) algorithm [ 54].
We adjusted the income data for family size using the OECD equivalence scale [ 13].
Using the equivalence principle, this tensor is readily generalized to curved space-time.
I dislike using the cliche "moral equivalence" about this sort of thing, if only because Cox plainly doesn't think in equivalences.
For 'truth equivalence' Hintikka uses the term 'weak equivalence' and for 'logical equivalence' the term 'strong equivalence' (cf. Hintikka 1996: 150).
Using the information filter, their equivalence is proved.
Besides the equivalence classes of ℱ-random variables, we also use the equivalence classes of ℱ-measurable sets.
Some new results are also included, e.g. the similar general equivalence result is proved and applied for (0< p<1).
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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