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The creep behavior of the HDPEs was accelerated by reducing the crystallinity, and the compliance curves were superimposed by shifting the logarithm time axis to give a super-master curve.
This paper presents a uniform amplitude sampling method (UASM), and compares it with the conventional uniform time sampling method (UTSM) and logarithm time sampling method (LTSM) in terms of the adaptability to different strata, RTS inversion accuracy, and stratum vertical resolution.
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Furthermore, the cumulative number of exits increases linearly over the logarithm of time, that is the event rate is constant in logarithmic time (Fig. 4).
QOL for weeks when persons were alive but had no QOL data were imputed from the regression of QOLtd on the logarithm of time from death (or time from the analysis date if still alive), as explained in detail in Appendix 1 and considered further in the discussion section.
Furthermore, in a Poisson process the average number of events, <N>, grows linearly over time, and similarly in a log-Poisson process <N> grows linearly over the logarithm of time, so <Nt> = α Ln t, when t»1. Hence we test whether the number of ants leaving the nest is constant in logarithmic time, and compare this to the null model.
We found that the best-fit models allowed the β-coefficient to vary linearly with the natural logarithm of time (instead of varying linearly with time).
By contrast, the cumulative number of events produced by the Weighting Waiting model increases as a sigmoid, rather than a linear function of the logarithm of time (Fig. 6), and the event rate does not fall off according to the inverse of the time elapsed (Fig. 7).
At 140, 160 and 180°C, φ decreased in direct proportion to the logarithm of time.
Fig. 9 Contour plot of the Rayleigh number Ra as a function of variance of temperature and logarithm of time.
By incorporating the effect of strain hardening on the static yield pressure, we derived an equation relating volumetric creep strain at a constant hydrostatic pressure level to the logarithm of time, which is in good agreement with experimental results.
The area of indentation has been observed to increase with the logarithm of time (e.g., Dieterich and Conrad 1984), and the evolution of contacting asperities has been directly observed in optically transparent materials (Dietrich and Kilgore 1994).
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