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Obviously, that in the corresponding sum of determination (Equation 5), such summands will be absent.
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However, for the sake of better illustration we have left the corresponding sum in the equation.
If three of the numbers are the same, the owner wins the corresponding sum in NOK.
Each time, the sum of the paired UniFrac distances across the 13 twin pairs was compared with the corresponding sum in 13 randomly paired sets of individuals.
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.
For case control comparisons of beta diversity, the sum of UniFrac values across all pairings of the 13 cases (13 × 12/2=78 summands) was compared with the corresponding sum in 1000 random selections of 13 individuals.
The HOM monomers, E1, are the background-subtracted sum of the peaks in the m/z band 235 424 Th; the HOM dimers, E2, are the corresponding sum for 425 625 Th.
Using (6), the corresponding sum rate R sum for all MS's in the cluster of L cells is given by R sum = ∑ i = 1 L ∑ k = 1 K R i ( k ).
After moving, the corresponding sum rate (25) is calculated.
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.
Since the proofs are trivial by breaking the corresponding sums in the following form x 1 j - ∑ i = 2 n x i j = x 1 j - ∑ i = 2 l x i j - ∑ i = l + 1 n x i j, and reusing the corresponding theorems, we present these refinements below without proofs.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com