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Moreover, an evaluation method of the fatigue life was proposed for random loading conditions.
Several models have been proposed for random generation of cracks in rocks under dynamic loading, including Cho et al. (2004a, 2008), Cho and Kaneko (2004), Zhu et al. (2004, 2007), and Ma and An (2008).
In the reconstruction method in the wavenumber frequency domain assuming Gaussian statistics, the analytic derivation was originally proposed for random sweeping field by Kraichnan (1964), for random sweeping field in a mean flow by Wilczek and Narita (2012), and for random sweeping hydromagnetic field in a mean flow by Narita (2017).
We demonstrate in the present study that the use of non-random samples could result in severely biased estimates of LD from the method proposed for random samples.
All three methods are relatively straightforward extensions of methods that have been proposed for random effects meta-analysis, where there are no covariates.
This behavior is reminiscent of that proposed for random fuzzy complexes, in which one partner remains dynamically disordered and transient interactions predominate during selective recognition (Sigalov, 2011; Fuxreiter and Tompa, 2012).
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The minimal average loss was achieved for s s =1 and s f =0.3 (see Figure 3 A), which is consistent with the default parameters proposed for Random Forest algorithm [ 28].
Based on the step-by-step integration method, explicit solutions will be proposed for the random response of systems driven by loads stochastically defined by their cf or loads defined by a quadratic relation of a Gaussian process.
Third, an algorithm is proposed for generating random fields with an approximate marginal beta distribution and a prescribed cross-correlation, where the latter can range from −1 to 1. Numerical examples are given to illustrate the effectiveness and efficiency of each of the three aspects.
An alternative method is herein proposed for mitigating random restarts, and is shown in Section 4 to have comparable performance but with a significant reduction in computation requirement.
Over the past years, several methods have been proposed for the random generation of more complex structures, where special attention has been paid to RNA secondary structures.
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