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As fractal dimension value is very close to 3, slight deviations would make the fractal dimension calculated larger than 3.
A formal test for between-studies heterogeneity (Cochran's Q) was performed, and I Higgins values (38) were calculated (larger values meaning higher heterogeneity).
Importantly, with the effect sizes calculated, larger population-based studies can now be planned to more robustly test the role of dental treatment on the employment outcomes of social assistance recipients.
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Numerical results show that the calculated largest Lyapunov exponent agrees with the bifurcation plot.
The slip deficits after the 1960 Chile, 1952 Kamchatka, and 1964 Alaska M9-class events evaluated from the catalog also show good correlations between the calculated large-magnitude areas and the rupture areas (Fig. 5c, e).
Improved computational facilities have enabled us to calculate larger models and this has led to necessary modifications to the design which are described in this paper.
Computers proved to be very good at tasks that humans find difficult, like calculating large sums quickly and beating grand masters at chess, but they were wretched at this, one of the simplest of human activities.
Ada Lovelace is the ideal figurehead for this project: She was the world's first computer programmer, and the first person to realise that a general purpose computing machine such as Charles Babbage's Analytical Engine could do more than just calculate large tables of numbers.
Numerical experiments show that the new scheme is more efficient in calculating large-time solutions.
The presence of chaotic limit cycles is verified by calculating largest Lyapunov exponent and the power spectrum.
To efficiently calculate large matrix exponentials, Krylov subspace approximation is directly applied to the implicit integration factor (IIF) methods.
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