Random = stochastic

P. Gueret, P. Merat, M. Moles, and J. P. Vigier, Stable states of a relativistic harmonic oscillator imbedded in a random stochastic thermostat, Lett. Math. Phys. 3(1), 47-56 (1979). 

For an inhomogeneous medium with a chaotic structure, the permittivity e(r, co) and the conductivity c> (r, co) are random (stochastic) functions of the coordinates r. 

The simple matrix model depicted earlier is an example of a deterministic matrix model. Deterministic matrix models have no measure of randomness (stochastic-ity), assume constant demographic parameters, and ignore density dependence. Moreover, estimated growth rate and stable stage or age structure refer to an exponentially increasing (or decreasing) population. 

One argument for using a value of 2 Mu assumes that two independent repair crews are available (see Ref. 1). Therefore, if the failures are due to a random, stochastic processes, then repairs can occur at the same time increasing the repair rate to 2 Mu. The argument in favor of using the value of Mu is that typically only one repair crew is available, and therefore it is more conservative to use the single Mu value. 

Curve fitting using a random stochastic pore network... 

As the name suggests, this method simulates the Brownian motion of macro-molecular or colloidal particles due to random collisions with the surrounding molecules. The collisions are simulated by a random stochastic force, so... 

The remarkable properties of electrospun CNTs nanocomposites continue to draw attention in the development of multifunctional properties of nanostructures for many applications.. Multiscale model for calculation macroscopic mechanical properties for fibrous sheet is developed. Effective properties of the fiber at microscale determined by homogenization using modified shear-lag model, while on the second stage the point-bonded stochastic fibrous network at macroscale replaced by multilevel finite beam element net. Elastic modulus and Poisson s ratio dependence on CNT volume concentration are calculated. Effective properties fibrous sheet as random stochastic network determined numerically. We conclude that an addition of CNTs into the polymer solution results in significant improvement of rheological and structural properties. 

The term relaxation is used to indicate that time-dependent effects occur in the system under study. The y-quantum scattering leads, as a rule, only to change of the nuclear state, while the electronic system remains unchanged. Sometimes, i.e. in paramag-nets, the interaction of the electronic shell with the environment may be comparable to or much weaker than the hyperfine coupling. The atom follows a random, stochastic path through its allowed states owing to time-dependent, extra-atomic interactions, and as a result of the hyperfine interaction the Mossbauer spectrum will be affected. 

In addition, NMR and FTIR studies have not revealed an appreciable increase in the concentration of terminal methyl units, which would be associated with radiolytic cleavage of the polymer chains. Because breaking of C-C is a random (stochastic) process, it can be assumed that the primary macroradicals resulting from Reaction 1 undergo recombination, in both amorphous and crystalline phase, giving back a C-C bond, with dissipation of energy in the polymer mass (Scheme I, Reaction 2). 

It is apparent, therefore, that there is some imcertainty in this life prediction algorithm in terms of the completeness of the algorithm (e.g., the treatment of corrosion potential). On top of these epistemic uncertainties, there are the aleatory uncertainties associated with the random stochastic phenomena that dominate during the early precursor, crack initiation, and coalescence periods and which can lead to very long (engineering) crack initiation times. 

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