"We couldn't do just random descriptions of complex systems taking them apart, putting them together again".
For alleviating the issue of local optimum traps, the random morphology description functions (RMDFs) are introduced to generate random initial designs for the optimization process.
A finite element simulation for propagation in non-uniform ducts with compressible mean flow with a random source description is developed.
Using the random field description as an input for a Monte-Carlo-type structural analysis, the uncertainties in the stiffness and strength of sandwich structures are computed in the third step.
Following this path, the probability density evolution method (PDEM) has been developed by Li and Chen at the beginning of this century on the basis of the principle of probability preservation and its random event description.
While the complex random variable description of a wireless channel as Rayleigh, Rician, etc., forms one aspect of characterization, another one involves taking the time-variations of the channel filter taps into consideration.
The random morphology description functions (RMDF) based constructive approach is employed to create a variety of morphologically realistic microstructures of dual-phase heterogeneous materials which are characterized by the volume fractions and the interconnected network of two phases by simply adjusting the level cut of a Gaussian random field.
Two reviewers (FP and JB) assessed the risk of bias of the interventional studies and used the categories randomization, random sequence generation allocation concealment, description of withdrawals and dropouts, the method of and use of intention-to-treat analysis, and standardization of important co-interventions.
I held back from uploading an inappropriate image, but did have a little fun with the tagline: ("Bits of information, really small") and the description ("Random thoughts and quotes from our notes that don't fit into our real stories, and whatever we find on TechCrunch").
The paper addresses and advertises recent methods combining stochastic processes and imprecise probability, namely random fields for the description of loads and random sets for the description of uncertain input parameters.
