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For time domain analysis, data were aligned taking as a reference the head to tail electromotive force recording, equivalent to the sum of all recordings from the different portions of the fish.
Data were ranked and aligned taking in account their dependence.
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end{aligned} Taking this formula in (2.5), we obtain (2.1).
end{aligned} Taking pth root yields the theorem.
end{aligned} Taking limsup on both sides as (trightarrowinfty), we obtain a contradiction to condition (b).
end{aligned} Taking the expectation and applying (5.4) we obtain the equality (5.3).
end{aligned} Taking (R=3l), then (vert x-x_{1} vert < R).
end{aligned} Taking (p=m+1), one can easily deduce (3.2).
end{aligned}Taking the supremum over all choices of the orthonormal basis yields (1.20).
end{aligned} Taking (nrightarrowinfty) and using (Az=Sz), we get M z,z) = d Sz,z).
end{aligned} Taking the condition (H1) into account, it implies that (b>0).
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CEO of Professional Science Editing for Scientists @ prosciediting.com