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Of course, as each distribution in time is likely to be unique, we need to capture the peculiar features of each temporal pattern.
To overcome the drawback that the solution of list decoding is not unique, we need an "inner code" to achieve a unique solution from the multiple solutions of list decoding.
Since the number of source cases in a sample is equal to the "true" number of source cases minus the source cases that are not sampled or are sampled as unique, we need to estimate the expected value of the numbers of clusters not sampled and the expected value of the clusters sampled as unique.
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Now that we know the statistics for all operators with a unique id, we need to instruct the BIP how they can be composed.
"Playbooks are extremely useful as a starting point — they can get you moving in the right direction and tune you into the things you should be paying attention to — but we've found that every city and market is so unique that we need to be smart about when to follow the recipe and when to trust our taste buds.
Mr. Youssef in particular has special skills and a unique background, and we need to know what he has to say".
… Our goal was really just to take a first step and say, 'Graduate students have unique needs, and we need to expand the mental health conversation beyond mental illness and talk about everyone's performance and everyone's well-being.'".
In this case, instead of concentrating all the mass (a_j) contained in the point (x_jin S) on the unique point (P(x_j)), we need to spread it, and we will spread it uniformly on the whole subdifferential (partial u(x_j)).
In our case, there are more than 285 billion possible 3-COG sets out of 11 969 unique COG profiles, so we need to use heuristics to focus on a subset of the most promising candidate sets.
Just as we've come to appreciate design to individualize the products we purchase to meet our unique needs, we are also coming to learn that not everyone does best with the same education model.
We need something unique.
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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