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In cases (C1) and (C2) the following change of summation holds.
Now, we use the following change of a variable: (19) (20).
To solve this problem, the following change of variable will be adopted: x p + 1 ( k ) = y ( k + p ), p = 0, …, n − 1. (4.2).
Moreover, the same is believed to be necessary to reflect an accurate analytical model showing carbonation process and following change in porosity development.
Given the fact that the two conditional pdfs are estimated using the Gaussian Mixture based pdf estimate, by EM algorithm, acording to (6), and using the following change of variables, (resp., ), for (resp., ), we get, (D2).
Note that we used the following change of variables u = t ρ + 1 x ρ + 1 in (6) and that B ( x, y ) holds for the familiar Beta function [[2], p.17, Eq. 1.68].
Similar(19)
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But the researchers tried to overcome this by following changes in CA-125 over time.
Within the next 24 hours, the following changes will be made to pricing on the App Store.
Longitudinal data have previously been reported following changes in their scores over a 12 month period.
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CEO of Professional Science Editing for Scientists @ prosciediting.com