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One way to obtain the global mean trend m Y(p ) = m Y s,t) is to use the separable space/time mean trend model (SSTM) (Christakos et al. 2002).
Because the CSTM-based estimates outperformed the SSTM-based estimates, we used the CSTM to derive our global mean trend m Y(p ) and KC for comparison with RS, respectively.
The space/time mean trend, m Y s, t) is combined as an additive function of m Y(s ) and m Y t), that is, m Y s, t) = m Y(s ) + m Y t) – μ, [3] where μ is the mean value of m Y t), such that m Y t) – μ represents the fluctuation of m Y t) around its mean.
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In this work, the general knowledge consists of the space/time mean trend function m x (p ) = E[ X(p )], and the covariance function C X (p, p ′)= E[[ X(p ) – m x (p )][X(p ′) – m x (p ′)]] of the S/TRF X(p ).
Briefly, the signal mean trend M. is redefined as the signal which interpolates the barycenters of particular oscillations, called elementary oscillations (see [35] for more details).
The magnitudes of wind weakening/reversal from the mean trend are ~45, ~40 and ~30 m/s for the first, second and third event, respectively.
Global mean trend models.
The trends observed for the mean (M), and coefficient of variation (S), were similarly smoothed.
Mean diameter M = (D · d )1/2.
M ≺ M′ means that M is strictly preferred to M′.
The plots show the mean hourly trend, month by month, of 10-m wind speed [V(10)], 80-m wind speed [V 80)], and the ratio V 80)/V(10) obtained with the methodology described in the paper.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com