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Theorem 4.4 implies that the operator for sufficiently large has a bounded inverse from to ; that is, the operator is Fredholm from into.
We prove that the corresponding differential operator is separable in ; that is, it has a bounded inverse from to the anisotropic weighted space.
These registration parameters were combined to obtain registration matrix from native (fMRI) space to MNI space and its inverse (from MNI space to native space).
Replacing ∆D from the incremental version of Eq. (8) in the inverse from the constitutive relation ∆D = k∆d, namely ∆d(x) = k −1 ∆D x), yields the incremental deformation field (Limkatanyu and Spacone 2002).
Green's is a full-throttle crowd-pleaser, and Guadagnino's a meditative slow-burn ― an inverse from their predecessors.
In an inverse from Hathaway, the "Lincoln" star gained weight to play Mary Todd Lincoln, and she stands toe-to-toe with presumed Best Actor winner Daniel Day-Lewis (as Lincoln) in a number of scenes.
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We distributed fishing effort in the coastal zone using an inverse distance-from-shore weighting, excluding high-sea fisheries.
It is similar to that of Theorem 5.6 by zeroing either and and removing the inverses from the corresponding conditions and proofs.
In almost all strains of C. paramaecium (except for histidine in strain CCAP 977/1) and C. borealis (except for asparagine in strain SCCAP K-0063) codon preferences were inversed from NNC to NNU for these amino acids (Table 1).
The term "closed quotient" is frequently used for data derived both from inverse filtering and from electroglottography.
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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