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The patches in the same group have similar image structures and can be presented by a relatively compact dictionary, which is more suitable for the patches in the group than a redundant dictionary.
By applying the theorem of Riesz, it is easy to see that the operators (mathcal{J}_{epsilon}) and N̂ differ by a relatively compact perturbation in (mathcal{L}^{p}_{s}), for (pin 3,4)) and (s>3 1-frac{1}{p})).
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The grating coupler is one of the widespread couplers for SPP excitation by the plane wave with a relatively compact implementation [19].
Since ({Psi x : xin B_{r^subset PC^{0}_{h}(mathbb{R},L^{p}(mathbb{P},mathbb{H}))), then ({Psi x : xin B_{r^) is a relatively compact set by Lemma 2.4, then Ψ is a compact operator.
Owen Burdick, the music director of Trinity Church, conducted an ensemble that was faithful to what current scholarship suggests of Handel's expectations: a relatively compact choir matched by a roughly equal number of instrumentalists for balance and clarity.
The field boundaries are often composed of hedgerows which, by tradition, are regularly managed to provide a relatively compact, sustainable, stock-proof barrier.
By Ascoli's theorem, we conclude that GB is a relatively compact subset of CBV ( T, F / F ).
By Arzela-Ascoli theorem on time scales [31], {Φx : x ∈ U} is a relatively compact set.
Moreover, by the continuity of, we can show that is a compact operator and is a relatively compact set.
By restricting the model to a 10-times magnification, Canon has been able to produce a relatively compact pair.
Hence, B is a relatively compact set.
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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