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When the number of tilt series equals 2 or becomes infinite, q(n) coincides well with the double tilt and conical series cases, respectively [27].
Note that total variance of the time series equals trΛ, and the contribution of the kth mode to the total variance r k is shown to be (5 where λ k corresponds to the kth eigenvalue.
In Europe, Madhava's formula was rediscovered by Scottish mathematician James Gregory in 1671, and by Leibniz in 1674: : \arctan z = z - \frac {z^3} {3} +\frac {z^5} {5} -\frac {z^7} {7} +\cdots This formula, the Gregory Leibniz series, equals \scriptstyle \pi/4 when evaluated with = 1.
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A series was assumed to be monoisotopic if the most frequent rank over all peaks in a series equaled 1.
Considering all possible pairs of routes we have measured a mean correlation between their time series equal to (mbox{Pearson's } r=0.96).
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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