The phrase "a the distribution of" is not correct in English due to the redundancy of "a" and "the" together.
You can use it when discussing statistical or mathematical concepts, but it needs to be corrected to either "the distribution of" or "a distribution of."
Example: "The distribution of test scores showed a significant variation among students."
Alternatives: "the spread of" or "a range of".
Let L B denote the distribution of income before agricultural modernization and L A, the distribution of income after agricultural modernization.
The formula for G is shown in Appendix A; the distribution of G is a function of chi-squared random variables.
In Figure 5 A the distribution of PSTHs obtained from the whole sample are shown for 4 different stimuli and catch trial used in Experiment 1b.
If model discrimination analysis indicates that a model should be rejected, as in the case of model A, the distribution of metabolic fluxes obtained with such a model cannot be reliable.
The null hypothesis in that case can be formulated as H0: "the statistical distribution of an element in D1 is the same as that of an element in D2", and the alternative hypothesis can be formulated as H A : "the distribution of an element in D1 is stochastically larger than that of an element in D2".
Therefore under H A the distribution of parameter-pair [ p sn, j k, p ns, j k ], for k ∈ {us, mx}, is (7) [ p sn, j k, p ns, j k ] ∼ Dirichlet (n sn, j k, n ns, j k + α ), as discussed previously.
When both food odors and aggregation pheromone are present (F + A), the distribution of the total population (P S + P R + P M ) over the quadrants after one generation is significantly different from the control situation where no chemical information is present (χ(3)2 = 150.64, p < 0.0005) or where only food odors are present (F, χ(3)2 = 115.59, p < 0.005).
(A) The distribution of expression levels of the HTT gene across 64 non-diseased tissues.
a, The distribution of genomic features in 4 Mb windows is plotted along chromosome 1H.
a, The distribution of pathogenic variants across the different percentile slices is normalized by the size of protein-coding and noncoding regions in the respective percentile slices.
(a) The distribution of the Fraction of Mapped Reads (FMR) before and after rebalancing, (b) differences in performance of individual MIPs before and after rebalancing.
