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In this case we have that the smallest core is constituted exactly by the points carrying positive probability.
There is, in addition, a striking difference between the largest and the smallest core (and between the largest and any other core).
In general it can be shown that for each function P there is a smallest as well as a largest core and that the smallest core has measure 1.
Selecting a representative elementary volume (REV, the smallest core unit that can characterize the macroscopic physical properties of a core effectively) is crucial to the follow-up study in this paper.
So the largest core encodes a strong doxastic notion of certainty or full belief, while the smallest encodes a weaker notion of 'almost certainty' or expectation.[19] So, when the universe is countable and countable additivity is imposed, we can define two main attitudes as follows: An event is expected if it contains the smallest core, whereas it is fully believed if it contains the largest.
It is surprising that the "core gene set" containing conserved genes in all tested C. difficile strains is unusually low and to our knowledge it is probably the smallest core genome reported for any bacterial species so far.
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Consistent with the pan-genomic properties of the 'PAH-degrading' node, its dichotomy phenotype node, 'PAH-non-degrading", shows the smallest core-genome of 958 genes and largest pan-genome of 13,541 genes.
Again, ME outputs the smallest cores, followed by SCAN and CE.
The stadium was largely empty, the small core of Kiryat Shmona supporters doing their best to fill the void.
But every Tuesday night, the small core of full-time support workers and committed volunteers that make up local charity Simon on the Streets pitches its tent here in this quiet corner of central Leeds.
Mr. Inhofe convened a hearing on Tuesday that focused on the work of the small core of researchers who insist that there is no evidence for human-caused warming of any import.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com