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In (41), we can split the summation with indexes (q1,q2) in the two sums and thus in two resulting terms: P x ( f ) ¯ = P 1 ( f ) + P 2 ( f ).
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Each of the three resulting terms were added to achieve a weighted estimate of weekly milk consumption between 5 and 35 years of age.
As there were three sites, a likelihood ratio test was used to jointly assess the two resulting interaction terms.
The residual error at the output of the PA consists of two terms resulting from the approximation errors in the amplitude and phase LUTs.
Two results are obtained in terms of strict linear matrix inequalities (LMIs) without equality constraint.
The reason is that in the intersection set of two result sets many potential target terms are eliminated, and, at the same time, the real target terms will not be eliminated since such terms usually have real association with the initial term and, therefore, will be retained by both methods.
But the two results are not contradictory in terms of the individual characteristics of these grid cells, such as a possible greater than 2.6 °C warming, warmer permafrost, or more ground ice.
These two steps resulted in GO terms with IEA evidence codes.
The longest and the shortest of these three ϕ n differ by less than 50%; therefore, in practice the three exponential terms resulting from the nonspherical shape of a protein molecule cannot be resolved from the experimental data.
Because both capital gains and capital losses are categorized as either short-term or long-term depending on how long you've held the investment, almost every sale will create one of the following four results: a long-term capital gain (LTCG), a long-term capital loss (LTCL), a short-term capital gain (STCG), or a short-term capital loss (STCL).
Examination of the first page of 10 results for each of the next nine search terms resulted in over 60 different web addresses from 37 organisations.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com