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Next, we replaced the time variable within each cycle with a non-dimensional index obtained by dividing time within the cycle by the paddling cycle duration.
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It eventually replaced the time-consuming Allegheny Portage Railroad, the only other route across the mountains for large vehicles.
The spectral-domain OCT technology (SD-OCT), has replaced the time-domain OCT (TD-OCT) providing faster scan speed, improving scan resolution and potentially increased diagnostic accuracy [ 9, 10].
With the emergence of rapid DNA sequencing technology, the comparative 16S rRNA analysis replaced the time-consuming and labor-intensive DDH technique where a 97%% sequence identity of the full-length 16S rRNA gene was used to define a new species, with acknowledged exceptions (Goebel and Stackebrandt 1994; Stachebrandt and Ebers 2006).
We modified the advection dispersion equation by replacing the time derivative with the new fractional derivative.
This can be calculated by replacing the time average with the ensemble average.
Next, characteristic curves are applied to replace the time level by points in the semi-Lagrangian method.
In many applications such as finance and biology, we often wish to replace the time dependent instantaneous measure by a stationary (or ergodic) measure.
Many applications of fractional calculus amount to replacing the time derivative in a given evolution equation by a derivative of fractional-order.
In particular, Misner replaces the time parameter t with the negative of its logarithm (i.e., −log t) in order to assuage worries that a bounded time parameter makes no sense.
Fast-forward to 2014, and I've once again vowed to replace the time and energy I devote to boys with literature, art and chocolate chip scones.
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