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Either f attains its maximum at an endpoint, x = a or x = b, or it attains a maximum for some x inside this interval.
Therefore, the noise estimator is obtained using only values inside this interval; this is to avoid the smoothness of some details and improve the criteria results.
If n is small equation (8) holds if r Y 1 Y 2 is small, or s Y 1 2 is considerably larger than s Y 2 2. Otherwise, all μ inside this interval lead to a significant treatment effect if and only if equation (8) does not hold.
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All viable phage progeny are produced inside the cell during this interval, at an approximately constant rate.
You can also count the number of genes in this interval and divide by the number of remaining recombinants to get a sense of the number of genes to be expected inside the interval defined by your closest recombinants (although this is a very imprecise prediction because recombination is not expected to be evenly distributed across the interval).
The trees found inside NS' confidence interval are not significantly different to NS (i.e. differences can be explained adequately by lack of power caused by finite data size), whereas the trees found outside this interval are significantly worse at explaining the NS data.
where (ddot {pi }(xi)) denotes the second derivative of π(x) evaluated at x=ξ, ξ∈(s i,si+1] is some point inside the interval, and this bound is again finite since we assume that the second derivative of π(x) is also bounded.
Hence r is inside the interval (9) in this case.
When WSN traffic features lie inside interval described by 80 to 95%% of prediction intervals, we treated this traffic as suspicious where an anomaly or attack can be present.
This definition includes only a point inside the interval of the integration.
Actually, the various (sigma_{m}) determine the order of magnitude of the fluctuations of (V_{i}) around (mu_{i}), therefore it is important to check if (V_{i}) lies inside the interval of convergence of the Taylor expansion (this will be quantified more rigorously at the end of Sect. 4).
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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