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Exact(24)
The estimate is valid for a fairly general class of frames — requiring that the dimension of the Hilbert space and the number of frame vectors is relatively prime.
This estimate is valid when only one of the values of or is equal to.
It follows then that for large values of,, the following estimate is valid: (2.41).
Since (erho _1le 1,) this estimate is valid also for (j=1).
While the researchers think the estimate is valid, they also admit that it isn't complete because they didn't include data from large companies like Google, Yahoo, or Microsoft.
maps L p ( k ) into L p ( k ) and the following estimate is valid: ∥ G 1 F ∥ L p ( k ) ≤ M 1 ∥ F ∥ L p ( k ), (10).
Similar(36)
In addition to (74), the properties of the mesh-refinement necessary in current proofs of quasi-optimal convergence rates for adaptive boundary element methods [28,47] and adaptive finite element methods [13,44,45] are satisfied, i.e., the so-called overlay estimate and mesh-closure estimate are valid.
This number is often said to be supported by age – incidence curves, but even Armitage and Doll [ 4], who pioneered this kind of analysis, pointed out that the five to seven estimate was valid only under rather restrictive assumptions, for example that the rate of the various events was constant over time.
Executives of multiproduct companies will be fortunate if the first digit in their product cost estimates is valid, and they can make a reasonably good guess at the second.
The Wei, Lin and Weissfeld method allows the estimation of separate effects of the intervention on the hazard of the first event, second event, third event, etc., based on groups comparable at the point of randomization; because randomization is preserved in the estimation of the intervention effects for events beyond the first event, these estimates are valid.
Holdeman, for one, believes the price estimates are valid.
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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