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With this random formulation, based on the perturbation method, the two main statistical moments (mean and variance) of the random variable fatigue lifetime (Nf) are obtained.
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All the mentioned results have adequate random formulations.
The results show that the frequencies of various subgraph patterns are not significantly over- or under-represented in real networks when compared to their random formulations.
Contrary to previous reports, we find that commonly accepted motifs are neither over- nor under-represented in these real networks in comparison to their random formulations.
The observed outcome of farmers' adoption decision can be modeled using random utility formulation.
Also, we give a random abstract formulation to Sadovskii's fixed point theorem in a vector-valued Banach space.
Information that encodes properties of the environment effects on agents is proposed to be added as a control input into the initial random walk formulation.
In the random walks formulation, each sample is treated as a graph vertex, which corresponds to a state on a Markov chain.
In addition, our random-walk formulation accurately reproduces magnetization echoes stemming from coherent-pathway calculations.
By employing the new formulation, random dropout rates are transformed into stochastic parameters in the system's representation.
In the random utility model formulation [ 3], choice data can be aggregated (or not) across attribute level pairs and/or across respondents.
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CEO of Professional Science Editing for Scientists @ prosciediting.com