Sentence examples for rules in equation from inspiring English sources

This structure induces a linear bracket f, w E * ÷ Λ E * ( d TE * f, d TE * w ) Open image in new window where the operator d TE* is defined by the rules in Equation 106 but on TE *.

The rules in Equation 10 belong to decentralized fuzzy cooperation dynamics where each PU operates as a separate entity with actual co l shaped by the individual satisfaction, preferences, and insurance levels in the contracts.

and, following the rules in Equation 106, we can derive that the 2-form l ω ˘ ÷ - d * L l θ ˘ = z ¨ a ∧ v ˘ a + 1 2 C be a p a z ¨ b ∧ z ¨ e Open image in new window (108).

Therefore, the update rules in Equation (4)–(6) allows an efficient computation of the matrix ℋ of code lengths in O(n) operations.

The update rules in (Equations 8 and 9) corresponding to DKL V || WH) are reproduced here for readers' convenience.

The Bayesian decision rule in Equation 16 gives the classification result.

However, when one-class classifiers are used for multi-class classification tasks, the product rule in Equation 18 may not perform well.

In [30], the authors investigated different mechanisms for combining one-class classifiers, and their results showed that the 'product rule' in Equation 18 outperforms other combining mechanisms for one-class classifiers.