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The autocorrelation function (ACF) represents a simple correlation between Y t and Yt−k as a function of the lag k.
Figure 4 Noise variance at the output of the RD-CTCF estimator as a function of the lag parameters and for the cycle frequency.
The PACF represents the correlation between Y t and Yt−k as a function of the lag k, filtering the effect of the other lags on Y t and Yt−k.
The feature obtained in this situation is illustrated in Figure 3. Figure 3 Fourth-order RD-CTCF of a 4-QAM baseband signal as a function of the lag parameters and for the cycle frequency.
For each 10-day time interval, the cross-correlation coefficient r i x,y) was computed as a function of the lag between the input x and output y time series (converted to zero mean and unitary variance, in order to directly compare the fluctuations).
From these, we plotted the averaged mean square displacement (MSD) as a function of the lag time with intervals of confidence of 95% (panel C ), from a total of 33,645 trajectories (from 42 cells) for c-Myc and 16,852 trajectories (from 38 cells) for P-TEFb.
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The mean square displacement (MSD) as a function of the lag-time Δ t revealed different diffusion regimes for the c-ring monomer and dimer states.
The γ process is constructed as a product of a latent and unobserved high-frequency process x with a function of the lagged, low-frequency oscillatory component.
Autocorrelation function (ACF) measures the similarity between the observations as a function of the time lag whereas partial autocorrelation function (PACF) is defined as the correlation between Z t and Z t+k after the linear dependence of the lags [ t+1,t+k−1] is removed.
Duration of the metachronal lag as a function of the hindleg period for slow (blue) and fast (red) flies.
Especially, in Fig. 2b, the decline of target 1 can be approximated as a linear function of the lag number m, which agrees well with Eq. (10).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com