Sentence examples for case of a random from inspiring English sources

For the case of a random distribution of spherical inclusions, exact relations between the elastic tensor and nth order structure factors are demonstrated.

A mass transfer correlation for PbO MX was obtained, in terms of the Sherwood number, by fitting the simulation results for the general case of a random packed bed with a porosity of about 0.4.

In the case of a random copolymer of Q and A with an A/Q molar ratio similar to that of a block copolymer with DPn,A=50, Nagg∼1 (i.e. unimolecular micelle) was confirmed by static light scattering at pH 10.0.

In the case of a random channel network, drainage density equals approximately twice the hillslope length.

In the case of a random 3-regular graph, there is a phase transition where the speed changes from 1/3 to 0 at time 3 log2 n.

Typically, we select the case of a random function of case 3, c3.f3, for this section.

In case of the S1 4 datasets, 1 swap is needed in 60% cases of a random initialization, and 2 swaps in 38% cases.

In the case of only a random intercept, Nehaus et al [ 9] demonstrated that the estimates from the marginal model are systematically lower than those from the random model.

A method for determining the linear correlation function and the frequency power spectrum for random noise or vibration of which the amplitude fluctuation is limited by upper and/or lower levels is proposed, for an idealized case of a Gaussian random process.

In the case of a binary random variable, with equal probability for each of the two possibilities, the Shannon entropy is one bit, representing maximal uncertainty.

In section "Assumptions," we introduce the assumptions used to compute the MSRL in the case of a Gaussian random noise and orthogonal waveforms.