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As our algorithms return exactly the same outputs as original algorithms, we report only performance results for various sub-tasks.
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Repeated runs of this example will create exactly the same output file, whereas they would be different if randseed=0.
We're doing exactly the same output that we used to at the Donmar when we had a staff of 15, but with a staff of three".
Aligned to this revised hierarchy, the new 2010 S4 has a bit less power than the old S4, a bit more power than the new BMW 335is, and exactly the same output -- 333 horsepower -- as the previous-generation M3.
In other words, if we that, of course, is a continuous-time system, it's a continuous-time input and continuous-time time output and the overall system, then, would be one that would give us exactly the same output spectrum as we're getting.
In 1D, TV flow and TV regularization yield exactly the same output.
In contrast to approaches based on considering only local neighbours, this paper describes approaches that provide exactly the same output as a single processor would have generated.
Despite the fact that the docking process in Glide is deterministic and multiple docking runs of the same input data yields exactly the same output every time [31], we still considered the "safety margin" of ±0.05 ΔpROC-AUC ΔpROC-AUCvoid over-interpreping small changes in docking performance.
Obviously, with discrete phenotypes it is possible to exclude all discrepantly coded individuals, and all +A and A+ individuals (Table 4) could be removed to give exactly the same output from a GWAS.
According to (18), a structurally non-identifiable model can produce exactly the same observed output with different parametrization.
Another constraint relates to the k-means clustering algorithm where the output of clustering is not always exactly the same, although the outputs estimated from the same data set in different analysis sessions are similar.
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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