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A statistical model for randomly varying source lengths within the grain boundaries of the nanostructure is developed.

A model for randomly distributed, unidirectional, short-fiber composites with the spring layer model of interphases is presented and evaluated by means of numerical examples.

The kinetics of the isothermal γ → α transformation has been described by a phase-transformation model involving site saturation (pre-existing nuclei), two separate growth stages and a hard impingement model for randomly distributed particles.

The simple empirical micromechanics Halpin Tsai model for randomly distributed short fiber reinforced composites was employed to predict the homogenized elastic moduli of APC, by optimizing the interfacial model parameter.

The morphology of the ionenes was analysed in the nanometer scale by fitting a cascade model for randomly branched f-functional polycondensates incorporated in Debye Bueche random-two-phase model and the interference term by the interdomain interaction on their small-angle X-ray scattering profiles.

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Care models for randomly chosen rare or unusual illnesses or conditions could be synthesized using expert opinion to improve the realism of a large synthetic data set.

A three-dimensional finite element model accounting for randomly distributed non-uniform corrosion wastage based on non-linear time-dependent model is generated.

Observed values of CRP from day 1 to day 6 of mechanical ventilation and the predicted slopes by the model for a randomly selected group of patients.

We also fit this model for 50 randomly selected SNPs that fell within the widest confidence interval for each identified QTL to obtain a null expectation for SNPs linked with our QTL.

Once the model was fitted, the estimates for the intercepts and slopes were obtained as the best linear unbiased predictors, BLUPs [ 38]. Figure 1 shows the observed values of CRP and predicted values by the model for a randomly selected group of patients.

In the first set, we simulated EEG signals using different Rbs (randomized between 1 15 and 1 25 following a normal distribution with mean 1 20 and standard deviation of 1 3.3) of the EEG head model for 50 randomly placed sources and localized these sources using EEG head model at one Rbs (1 20).

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