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Using a model of p53-Mdm2 oscillations which contains 3 species, 6 reactions and 8 parameters (Geva-Zatorsky et al., 2006 and Supplementary Fig. S1) we simulated different numbers of time series of length 100 h and performed timing studies comparing the runtime on the GPU and the runtime on a single CPU (Fig. 1).
Tests of energy conservation indicate that calculated solutions remain accurate for large numbers of time steps.
The proposed algorithms make forecast reconciliation feasible in business applications involving very large numbers of time series.
Reading for pleasure is declining among primary-age pupils, and increasing numbers of "time poor" parents are dropping the ritual of sharing bedtime stories with their children once they start school.
In order to increase the efficiency of these solvers, and to improve robustness, particularly for large numbers of time instances, the Generalized Minimal Residual Method (GMRES) is used to solve the implicit linear system over all coupled time instances.
This new GMRES/preconditioner combination is shown to be over an order of magnitude more efficient than the previous wave-number independent preconditioner for problems with large numbers of time instances and/or large reduced frequencies.
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The limited numbers of time-domain flow cytometry systems that have been tested require precise timing of the detectors, yet can be useful for rare event detection 6, 8, characterization of long-lived lanthanide species 19, biological process monitoring 20, and environment sensing 21.
Figure 14 depicts the performance of EECOMP for different numbers of time-slots.
(This approach was initially proposed by us in [14].) The allocation of different numbers of time-slots to a user constitutes mutually exclusive events.
Figure 14 Performance of EECOMP for different numbers of time-slots in multipath fading channel with average SNR of 20 dB.
number of time slots.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com