It is also shown that 100-mode expansions of time-dependent solutions based on the singular Stokes eigenfunctions are sufficient to accurately predict the dynamics of flows in such domains, including Hopf bifurcations, intermittency, and details of flow structures.
Gyasi deftly uses the alternating compression and expansion of time built into her novel's structure to summon the fantasy of retreat into love and family, and then to show how history will, inevitably, trample that dream.
More specifically, the Taylor expansion of time is used to approximate the time integration, deployed to boost temporal accuracy.
The compression or expansion of time, bandwidth product is dependent on the correct selection of ( varphi left( omega right) ).
The polynomial approximation of the final position is used as an input to compute analytically the expansion of time and distance of closest approach.
Based on this finding it is concluded that bivariate frequency analyses in hydrology would greatly benefit from discharge time series augmented by proxy or historical data, or by causal hydrologic expansion of time series.
With the expansion of time points and sample numbers, consideration of the three aforementioned hypotheses is warranted.
Based on a quadratic expansion of time in the constant rate model, the hippocampal loss accelerated by 26.5 ± 4.5 mm/year in Alzheimer's disease and 12.1 ± 3.2 mm/year in mild cognitive impairment, equivalent to −1.6 ± 0.2%/year and 0.6 ± 0.2%/year, respectively, relative to baseline volume.
The main contribution of this paper is to develop a novel approach based on the expansion of time-varying systems by orthogonal rational functions.
Mallat and Zhang [10] used the matching pursuit (MP) method that decomposes the signal into a linear expansion of time-frequency components; however, this algorithm needs to select a discrete subset of possible dictionary functions for practical implementation [10].
The boundary (initial) condition constraints on the temporal-basis-function expansions of the time-dependent variables has been removed, while preserving HLVA in its original form.
