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In the extended method, the pressure measured on the hologram plane is expressed as a superposition of time convolutions between the time wavenumber normal acceleration spectrum on a virtual source plane and the time domain propagation kernel relating the pressure on the hologram plane to the normal acceleration spectrum on the virtual source plane.
Some aspects of TB transmission are slower than others in responding to changes in biologic, demographic, and socioeconomic conditions, resulting in a superposition of time scales that poses major challenges to the interpretation of transmission measures.
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In this model, the channel is characterized as a time-varying FIR filter, where each tap of the time-varying FIR is expressed as a superposition of time-varying complex exponential basis functions with frequencies on a DFT grid.
On the other hand, BEM describes the doubly selective channel as the superpositions of time-varying basis functions weighted by time-invariant coefficients.
The time shift calculated from CRUST2.0 looks approximately like a superposition of the time shifts estimated separately from the crust, sediment, and water layer models.
The superposition of Arima time series models forms the basis of two dominant approaches to the classical decomposition of a univariate time series into trend, cyclical, seasonal and irregular components: the reduced form "model-based" decomposition analysed by Box et al.
Since the wall is usually formed of lossy mediums, the wall transmissivity is a function of signal frequency, thus the received radar return cannot be simplified as the superposition of multiple time-shifted and scaled transmitted signals s(t) [25].
The last column in (b) shows a superposition of all time-points of the normalized coordinates onto a unit-circle at the top, and a superposition of all time-points without normalization at the bottom onto the final fluorescence image.
A deeper consequence of superposition in time together with superposition of component signal responses is the fact that every stable linear time invariant filter emits a sinusoid at frequency in response to an input sinusoid at frequency after sufficient time for start-up transients to settle.
Traditional spectral analysis encompassed Fourier methods and their elaborations, under the assumption of a simple superposition of sinusoids, independent of time.
This was seen by the C <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0009142.e025.PNG" class= inline-graphic"/> rms distance of the protein from the starting structure after best-fit superposition as a function of time, which was seen in all runs to stabilize after about 500 ps during the 1 ns equilibration period.
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