Sentence examples for imposed on the random from inspiring English sources

Proof The essential difference between this lemma and Lemma 3.3 is the different truncation levels are imposed on the random variables { X n, n ≥ 1 } in two lemmas.

A two-step procedure can be adopted to solve this problem: (i) the first sample point in each area equivalent unit is selected at random on the systematic grid; (ii) to avoid that the second sample within the area equivalent unit is too close to the first, a distance restriction can be imposed on the random sampling.

Nevertheless, we are positively surprised at the level of coherence in regard to the listener ratings and their explanations in terms of the acoustic features; in spite of the limitations we imposed on the setting using a random splicing method, and the fact that we tested a large number of clusters.

Also, Simpson does not make sufficiently clear why a presumable random noise imposed on the recordings of the births' sexes should be biased in favor of boys; one would rather expect non-differential misclassification instead.

In addition, a random perturbation is imposed on the mean temperature field at the lowest four grid levels, to initiate turbulent motion.

The occurrence of errors is random so the conditions imposed on the error terms in (I-a) and (I-b), which imply, in particular, that they tend to zero as n tends to infinity, are unreasonable.

Most importantly, adjustment is made for the constraints imposed on the data based on the increased potential for non-random measurement error associated with dichotomous variables.

Our method originates in nonlinear system identification theory, and is predicated on representing uncertain variables as pseudo-random multi-level signals (PRMSs), which are imposed on the system model during each time integration step of a dynamic optimization.

The initial value of variables was given as their equilibrium with a random fluctuation of 1.0%, and numerical simulations of the reaction-diffusion dynamics were imposed on the boundary condition of zero flux.

The question arises as to whether these topological properties are found in interactomes because they are the outcome of common evolutionary processes or rather they have been imposed on random or quasi-random networks by natural selection because they confer some selective advantage.

Rather, compactness is imposed on the maps.