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Prior to solving these problems it is important to define and adopt a rational framework.
Prior to solving the problem, a rational approximation of the nonlinear restoring force function is applied to achieve a convergent truncation.
Here the term pre-processing refers to the steps required prior to solving a model in an equation-oriented solution approach.
Thus, it is beneficial to identify which scenarios are likely to be economically viable prior to solving an optimization model that determines the lowest-cost system design and dispatch.
Experimental results clearly indicate the advantage of using these kernels when compared to naïve techniques that discard the temporal information in the data, and, even more interestingly, these kernels also perform better that techniques that rely on an explicit feature extraction step prior to solving the pattern recognition problem.
Since the β values are dependent upon the orbit configuration and the data distribution, they are calculated for each orbit prior to solving Eq. (1).
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Prior to solve the RBDO problem, reliability analyses were performed in order to obtain the safety level of the original design.
And it is natural to extend the overlapping group sparsity prior to solve the two-dimension problem such as image restoration.
The brain doesn't require knowledge of all existing priors to solve the problem.
This suggests that the accuracy of the pair-based model could be increased by first generating the representation graph for the particular network and initial conditions prior to numerically solving the pair-based model.
Further, telling learners that prior instances are related to current items dramatically increases how much learners use prior examples to solve current ones (Gick & Holyoak, 1983).
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