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In order to describe the proposed algorithm, we define some parameters and functions first: ( {c}_{ns}^rleft {tau}_i,tright) ) is the remaining computing ability in the non-critical section of task τ i at time t. ( {c}_{cs}^rleft {z}_{i,j},tright) ) is the remaining computing ability in critical section z i,j at time t.
resource(τ i, t) is the resource accessed by task τ i at time t, which is effective when τ i is in the critical sections, and returns null otherwise. . ( {c}_{ns}^rleft {tau}_i,tright) ) is the remaining computing ability in the non-critical section of task τ i at time t. ( {c}_{cs}^rleft {z}_{i,j},tright) ) is the remaining computing ability in critical section z i,j at time t.
EET(τ i, t) is the required estimating time for the remaining part of task τ i at time t, which can be computed with the remaining computing ability, the running speed in the non-critical section, and the static running speed in the critical section.
EEC(τ i, t) is the estimation of the required energy of task τ i at time t, which can be computed with the remaining computing ability, the running speed in the non-critical section, the static running speed in the critical section, and the energy consumption defined in Section 1.2.1.
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A cross-validation error estimator is obtained by repeatedly leaving out some data points, deriving classifiers on the remaining points, computing errors for these classifiers on the left-out points, and then averaging these errors.
Despite the advances in computer power and numerical algorithms over the last decades, solutions to unsteady flow problems remain computing time intensive.
n-1 trials of an experiment consisting of n trials were used to compute the mean and the remaining one to compute the noise.
The remaining species are computed in a post-processing step.
Points lying on edge points are removed, and the entropy of the surrounding area of the remaining points is computed.
Finally, the responses of the remaining DOFs are computed through a convolution approach using the fast Fourier transform to further increase the computational efficiency.
The remaining metrics were computed in three transform domains: the log domain, the PU domain [20], and the PQ domain [31].
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com