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"What does it say to the Muslim world if we just replace the ruling elites, without a framework for pluralism and prosperity?" said Peter S. Watson, president of the American-government-backed Overseas Private Investment Corporation.
We just replace the line by another straight line, and then, the cuboid becomes twisty.
The substructure merging is performed in exactly the same way, we just replace the relevance threshold by the saddle density threshold.
Why don't we just replace the whole system with an ML algorithm that will determine the fate of students in a neutral and fair way such as "meritocracy".
Fortunately, it is possible to state an easy estimate of the left side of (2) in terms of the truncated variation of f, for f attaining values in any metric space (to define the total variation and the truncated variation of f attaining its values in the metric space ((E,d )), we just replace (|f (t_{i} )-f (t_{i-1} )|) by the distance (d (f (t_{i} ),f (t_{i-1} ) ))); see Theorem 1.
Honestly, once they lose their sharp edge, we don't bother getting them sharpened, we just replace them.
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"We just replaced a 1995 Chevy Lumina's V-6 engine for $1,700, including a 90-day, 4,000-mile 4,000-mile
For example, to evaluate algorithms for coeff_token decoding, we just replaced the proposed algorithm for coeff_token with other conventional algorithms for the syntax element.
For microarray data that measures the relative expression levels of genes (e.g. data from experiments using two channel cDNA arrays), we just replaced the t-score profile with each individual relative expression profile in step 1 to calculate the pre-scores of TFs in that sample (step 2 3).
The need for a hardware refresh presented an opportunity for us: we could just replace the hardware and carry on much as we did before, or we could try to build a better platform.
"Until then, I'm very concerned that we could just replace one terrible dictator with a terrible ideological movement which is aimed at our destruction".
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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