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Then the distribution of the corresponding sum in (1) is M-divisible, i.e., it can be represented as the convolution of M distribution functions.
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Num DF = numerator degrees of freedom, Den DF = denominator degrees of freedom for the corresponding sum of squares.
The integrated optical density (IOD) of each band on the Coomassie Brilliant Blue stained gel was determined, and compared to the corresponding sum of IOD values for all bands in each lane.
All relevant information for solving the optimization problem in (3) may then be condensed into three arrays containing the number of observations between two potential breakpoints, the corresponding sum of the observations and the sum of squares.
It is defined as the difference of the sum of species with phosphorylated binding sites x i and the corresponding sum of species with occupied binding sites x i b.
As expected from Proposition 2 and shown in Figure 14, the sum of queues remaining in the network for destination 14 is higher than the corresponding sum of 13 for all input rates, thus 13 will experience better performance in terms of throughput.
It should be clear that the problem reduces to computing ℙ X ≥ c | N = n = t c n | S | n for each 0 ≤ n ≤ | S|, where t c(n) denotes the number of ways for distributing n ones over | S| strains, such that the corresponding sum of weights is greater or equal than c.
These represent smaller values than the corresponding sum of their van der Waals radii.
Obviously, that in the corresponding sum of determination (Equation 5), such summands will be absent.
The individual SGS and the corresponding sum of the objective assessments were clearly correlated (Spearman's rank correlation = 0.35; N = 24,847; figure 1).
HDD is the corresponding sum of temperatures lower than 18°C; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \sum\nolimits_{{d = 1}}^{{365}} {{\rm Max} \left({0,18 - {T_d}} \right)} $$\end{document }
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