In addition to the molar mass distribution (MMD), they are frequently distributed with respect to chemical composition, functionality, and molecular architecture.
In particular, if the derived allele frequencies of a SNP taken at random consist of a vector { x a } a = 1 K, where x a is the frequency of the SNP in population a, independently and identically distributed with respect to the distribution φ(x), the AFS consists of a finite sample of population alleles as defined in Equation 1.
The concept underlying the method is based on the probability integral transform, in that a set of independent random samples derived from any random variable should on average be uniformly distributed with respect to the cumulative distribution function of the random variable.
If we assume that source j is locally stationary, it is equivalent to assume that all the T elements of its STFT are independent and that each element s̲ j (f,t) is distributed with respect to a complex-centered Gaussian distribution: s ̲ j ( f, t ) ∼ N ( 0, | s ̲ j ( f, t ) | 2 ) (21).
Topology influences the size of macromolecules, but polymers are usually distributed with respect to molar mass, which also results in the size distribution within a polymeric sample.
These in vivo observations at the PHOX2B locus indicate a potential trend that functional non-conserved regulatory sequences may not be uniformly distributed with respect to genes; functional non-conserved amplicons display a slightly skewed distribution, with a higher frequency more proximal to genes and a lower frequency in more distal regions.
First, saplings of American holly, the only other species in our dataset with enough stems for individual analysis, were randomly distributed with respect to mature beech trees.
In this work, the linear H C H configuration of CH2 groups is assumed with the bond axes randomly distributed with respect to the incident direction.
The results imply that larger key lengths will affect performance since weights are distributed with respect to the number of input nodes to the hidden layer.
Similarly, spatial patterns of recruits (stems ≥ 1 cm DBH that appeared after the last census) were randomly distributed with respect to adult beech trees.
For the tubes with A-attractive homogenous surfaces, the phases are distributed with respect to the A-block ratio in the phase diagrams.
