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This variation will be described by the random variable Y.
Variations of the properties of the surrounding soil along the pipe are described by the random field theory.
Non-isothermal experiments were carried out to obtain the kinetic model of OC reduction by char, founding that the activation energy of redox reaction gradually increases with conversion ratio and the kinetic mechanism can be described by the random nucleation and subsequent growth model and chemical reaction model respectively before and after α passes 0.5.
Moreover, as expected, genome size and GC content affected both the total number and the fractions of ORFs described by the random distributions (Table 1).
Interestingly, genome size did not explain a significant amount of the deviance in the total fractions of ORFs (p in Eqs. 1 2) described by the random components of the mixture models (F = 2.36, p = 0.06; Fig. 3c).
However, GC content did explain a significant amount of the deviance (F = 23.12, p<0.0001; Table 1B) in the fraction of ORFs described by the random distribution such that the fraction of random ORFs decreases with increasing GC content (Fig. 3d).
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Although these subroutines are designed for detailed simulations of photon and electron transport, where all individual interactions are simulated sequentially, they can also be used in mixed (class II) schemes for simulating the transport of high-energy charged particles, where the effect of soft interactions is described by the random-hinge method.
We included all publications reporting RCTs,which was defined as a trial where the allocation of participants to interventions was described by the words random, randomly, randomized, or randomization in all disease areas and all types of interventions, dealing with patients or volunteers.
The growth of granules in batch agglomeration of hematite iron ore powder with or without the presence of bentonite additive can be described by the non-random coalescence mechanism.
Consistent with Hypothesis 2, the size distribution of the remaining fraction of ORFs, described by the non-random distribution, is qualitatively quite similar to annotated protein distributions for genomes (Table S1, Figures S2, and S3).
Indeed, supplements three and four illustrate the similarities between the size distributions of ORFS described by the non-random distribution and annotated proteins by illustrating the shapes of the distributions drawn using the parameters from the mixture model fits to the ORFs and proteins listed in Table S1.
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