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Altogether, the formation of these major products (sum of them) showed a pH optimum around 7.5, although there were individual deviations from that for phenol and hydroquinone, in the case of which highest amounts were detectable at pH 10.5 and 9, respectively (Figure 5). Figure 5 Effect of pH on the concentration of products formed in the course of benzene oxygenation/ hydroxylation by Aae APO.
Finally, the normalization constant for the recurrence score ensures that the zjuij products sum to unity to normalize for the overall size of the module; i.e. Ti(S) = Σj zjuij, where j ranges from 1 to J. A completely analogous score was used to compute the recurrence of a module's down-regulated events across the compendium.
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Fitness was calculated as the number of correct functional products produced, minus the number of incorrect functional products, summed across all time steps.
9. "Logical product (sum)" is Wittgenstein's terminology borrowed from Russell for a conjunction (disjunction).
Product AMW is the wt product divided by moles product: Sum wt/Sum mol.
The tested combining rules were mean, max, min, product, sum, and majority vote rules.
The CAFE is a product sum of cumulative forecasting error and weight factors for backorder and inventory costs.
If we consider the left-hand side of (2.1) is a product sum, we also have the following theorem.
Here, under the new hypothesis, we consider the left-hand side of (2.3) is a product sum and obtain what follows.
As a direct implementation of the present results, it is shown that the vague product (sum) of a finite number of real numbers in vague arithmetic can be easily evaluated in terms of the underlying many-valued equivalence relations.
Furthermore, various non-trivial examples for the vague product (sum) of a finite number of real numbers in vague arithmetic are designed, and a simple technique for the construction of such non-trivial examples is stated.
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