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The right-hand-side of equation (31) can be obtained efficiently as, where is the current value of the sub-vector from equation (28) that corresponds to y1.
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Then, before sampling α i, the right-hand-side for α i,, is obtained efficiently as: 29 and after sampling α i, is updated as: 30 where and are the values of α i before and after sampling.
Considering that (15) is a nonlinear equation, its solution (hat {gamma }) can be obtained efficiently by numerical methods such as a Newton's iterative method.
Self-report data are commonly collected as they can be obtained efficiently and at less cost than medical chart reviews; furthermore, self-report allows researchers to simultaneously collect other data that may not be available in medical charts or other source documents, such as lifestyle information [ 1- 4].
The required numerical results can be obtained efficiently and accurately.
As showed in Section 3, the optimal solution to Eq. (37) can be obtained efficiently by PASA.
For CGPs, only a local optimum can be obtained efficiently.
Thus, globally optimal performance cannot be obtained efficiently adopting the approach in [4].
The trisaccharide scaffold was obtained efficiently by applying the sulfoxide glycosylation reaction as a key methodology.
As a result, less conservatism is obtained efficiently.
Here, we do not explain further how the factorization is obtained efficiently.
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CEO of Professional Science Editing for Scientists @ prosciediting.com