In case d avg < 0, the roles of the two frames are inverted as can be seen from the interval covered by the i variable in the first sum for a negative q.
Every occurrence of R E in the formulas (Appendix 1) is replaced by R E R Ij, where R Ij is the interaction factor corresponding to the j th level, j = 2,..., K. (For ∑', put R Ij inside the first sum).
Note that for j i = n i + 1, the first sum in Equation 9 has the value d n i Open image in new window and the second has the value d m i Open image in new window.
The first sum on the right-hand side of the equation stands for the shape variation among individuals, the second sum stands for directional asymmetry, and the third sum stands for fluctuating asymmetry.
We leave the description for calculating the second sum in (4) for the end of this proof.
Özil's contribution was just as incisive, his gathering from the Chilean's lofted pass and first-time reverse pass across the six-yard box for Alex Iwobi to tap in the fourth summing up the majesty of it all.
"To win in that manner, coming back from match points down to take it 7-6 in the third, sums Heather up for me," Durie said.
Solutions for the second-harmonic, sum, and difference-frequency components are obtained via modal decomposition.
When considering just the inventory plots in the eastern U.S., the USNVC classification had the best values of three of the four indicator species metrics, whereas for the fourth (the sum of indicator values) the empirical and FIA classifications had the best value.
In its fourth week, it climbed to number ten, becoming Rihanna's 19th top ten, breaking a tie with Lil Wayne for the second-best sum in the list's 22-year history; only Mariah Carey (23) has more.
