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We introduce snapshots and local spectral problems that appropriately define local weight and trial spaces.
To construct a Wilson network for a given experiment, we must assume which attributes and which levels appropriately define a pattern.
One challenge for structural damage identification using active sensor network is how to appropriately define and extract feature components from raw signals, so as to faithfully describe the damage to be identified.
Results from both datasets confirm the validity of RDN as a method to appropriately define the applicability domain of a QSAR, by allowing a robust mapping of local predictive reliability across chemical space.
Similarly, in order to define what is necessary for the reconciliation of parties as members of a moral community (Radzik 2009), a political community (C. Murphy 2010), or the international community (Barry 1980), we might look to the ideals that appropriately define those relationships.
Similar to the 2D case, in order to build such system in a way that all its elements are smooth in the Fourier domain, one has to appropriately define the elements of the shearlet systems overlapping the boundaries of the pyramidal regions P d in the Fourier domain.
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Secretary Powell has appropriately defined America's role as bridging the gap between the two sides on this issue.
Verizon said that it provided customer information to a government agency "only where authorized by law for appropriately defined and focused purposes," but that it could not comment on any relationship with a national security program that was "highly classified".
"Unless these features are appropriately defined, the building can be 'preserved' without continuing to exhibit the features that made it important in the first place," said Ms. Lemlein of the Santa Monica Conservancy.
This information is relevant for appropriately defining a measure.
Our main tools are appropriately defined square functions and the Littlewood Paley Stein theory.
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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