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In the analysis of structures subjected to stationary stochastic load processes the mean out-crossing rate plays an important role as it can be used to determine the extreme value distribution of any response, usually assuming that the sequence of mean out-crossings can be modelled as a Poisson process.
Assuming that the sequence in the papal letter is strictly chronological, Gregory then taught theology at various Augustinian studia in Italy, first at Bologna, where he is attested as lector in documents of late 1332, 1333, and early 1337.
Assuming that the sequence h i, i = 1, 2,…, N, is ordered in such a way that h1 ≤ … ≤ h N, the Choquet fuzzy integral can be computed as M FI μ, h = ∑ i = 1 N μ i, …, N − μ i + 1, …, N h i (2).
Assuming that the sequence differences are spread across the genome following a negative binominal distribution, we determined if these regions could be aligned inversely with greater similarity than the forward alignments (See Methods).
The first letter to be presented in each SO phase was the appropriate continuation of the sequence, assuming that the sequence had been correctly maintained during the preceding SI phase.
For reasons of computational efficiency, this is implemented assuming that the sequence has equal G and C content on a given strand, i.e. Pr G) = Pr(C), and likewise for A and T. The method computes analytical A ma score distributions for a range of GC contents, and uses linear interpolation to estimate the P-value of the A ma score of a sequence, based on its actual GC content.
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The norMD scores also take into account the size of the alignment by calculating the maximum score attainable given the lengths of each of the unaligned sequences and assuming that the sequences are all identical.
To simplify the model, the PCR bias was incorporated by assuming that the sequences containing A and a were amplified 2α and 2β times, respectively.
We assume that the sequence of the switching modes are given but the switching time in between consecutive modes remains to be optimized.
Although he had never travelled, he assumed that the sequence of the rocks he observed in Saxony was the same for the rest of the world.
Assume that the sequence ({T^{n}0}_{n=1}^{isfty}) is bounded.
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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