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Taking into account the constraint (6), the upper and lower limits of the sum in (10) can be further refined, obtaining the right-hand side expression in (8).
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In that case, the upper limit of the sum in (5) depends on the approximately maximum frequency of, and in (6) the upper limit of the sum depends on the finite support of.
Within the framework of a market-oriented agri-environmental scheme, the upper limit of the sum of the remuneration given to the farmers should be determined by the value of the agri-environmental service they provide to the public (as the production costs are the lower limit).
In general, based on the results of the RQs calculation, the proposed EU limits, for the sum of NPnEOs (n ranging from 0 to 1) and DEHP on sewage sludge intended to be used as soil fertilizer in agriculture, as 50 and 100 mg kg−1 dm, respectively, are sufficiently conservative to avoid negative effects on soil fauna.
After predicted values were obtained, based on the principle that if Y i ~ N(m i, s i) is the measurement for the ith cluster then Y = sum(Y i) ~ N[sum(m i), sum(s i ], the confidence limits for the sum of predicted values were calculated from the square root of the sum of the variance.
Also, many Washington counties, including King, Pierce and Snohomish, have set page limits for the sum of declarations each side can submit.
The integral of on is defined as the limit of the sums (if exists).
Therefore, the Marginalized Graph kernel is able to consider an infinite number of possible atom sequences by computing the limit of the weighted sum of the similarities directly.
The integral of on is defined by the limit of these sums (as ) if this limit exists.
Thus it is not surprising that many authors in dealing with the convergence of double sequences should have restricted themselves to the class of bounded sequences or, in dealing with the summability of double series, to the class of series for which the function whose limit is the sum of the series is a bounded function of i and j.
In modern terms, 4/3 is the limit of the partial sums.
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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