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Finally, we obtain relations between the analytic semigroup ({mathbb{T}(t)}_{tgeq0}) and some solution operators.
We were not able to obtain relations for all cases d ≤ 40.
In order to obtain relations among a temperature difference, an electric current and a total cooling power output there was a set of measurements performed.
LDA, a hierarchical Bayesian model, has been extended to obtain relations between topics and terms [6].
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end{aligned} Hence we obtain relation (14).
By the same method, we can also obtain relation (25).
By a similar approach we obtain relation (16) if (|y|ge R_{3}/2).
Now, if we proceed similarly to (i) we obtain relation (ii).
end{aligned} By using relations (16) (or (17)) and (9) of [9], we annihilate the latter relation, i.e., we obtain relation (20) for (beta>1).
The thresholds that yield the best relation classification F-score on the development set are applied to obtain relation classification results on the test data.
Then we obtain relation classification results on the development set by varying the classification thresholds applied to the relation identification classifiers (each of the four specialized identification classifiers will have its classification threshold tuned independently of the others).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com