Sentence examples for existence of a distribution from inspiring English sources
These variations were explained by the existence of a distribution of site energies (mercaptoacetic acid molecules) on the electrode surface.
The transition from a static mode to a blending under shear has also revealed the existence of a distribution of conversion among the epoxy-rich domains, caused by the competition between the continual nucleation process of the epoxy droplets and their growth.
Both the Cole-Cole and Cole-Davidson equations were empirical and could be considered to be the consequence of the existence of a distribution of relaxation times rather than that of the single relaxation time (Debye equation).
In the first subsection below, we give a more general condition for the existence of a stationary distribution that encompasses a larger family of distributions.
A two-term exponential model for mixed cell populations, a model based on a Weibull distribution of resistances within the bacterial population, a sigmoidal equation also justified by the existence of a resistance distribution, and a purely empirical equation were used to fit the observed survival curves.
In this section, we discuss the relevance of our two main results: (i) the condition for the existence of a stationary distribution for genome size, and (ii) the upper bounds for the quantiles of the genome size distribution at any time step.
A necessary and sufficient condition for a given pattern of selective influences is provided by the Joint Distribution Criterion, according to which the problem of "what influences what" is equivalent to that of the existence of a joint distribution for a certain set of random variables.
Let us now show the existence of a stationary distribution.
To verify the existence of a stationary distribution, we state a useful lemma.
Sufficient and necessary conditions for the existence of a stationary distribution and extinction are obtained.
Here we investigate a stochastic spatial model and prove the existence of a stationary distribution that represents the hybrid zone in equilibrium.
