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The following energy function is proposed and minimized (approximately); by solving, the corresponding compact directional dictionaries along with the needed mapping function are obtained [13].
They proposed the corresponding compact Crank-Nicolson scheme and compact Crank-Nicolson ADI scheme for the one and two space dimensions, respectively.
Porous PbO2 deposits obtained from both media consisted of the same mixture of α- and β-phases, although the corresponding compact deposits had significantly different structures (pure α-PbO2 from methanesulfonic acid, a mixture of α- and β- PbO2 from perchloric acid).
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G0 = K0 ⊕ P0 a Cartan decomposition of G0 and let K be the corresponding maximal compact subgroup.
The cross sections along the X- and Y-axes vaguely showed height and shape changes between the T and S states of the SERCA molecule, likely corresponding to compact and Y-shaped conformations, respectively.
The results indicated that there were not significant differences in uniformity of in situ properties between the SCC mixes and the corresponding well compacted conventional mixes.
A finite element study of the interparticle force displacement laws on contacts of spheres at conditions corresponding to compacts pressed to high relative densities is presented here.
It is shown how B4C Co and ZrC Co concentrated suspensions can be prepared by aqueous colloidal processing, and optimized (in terms of pH, deflocculant contents, and sonication time) to have a shear-thinning rheological behaviour suitable for the near-net shaping of the corresponding cermet compacts by slip casting.
Then we investigate the infinite propagation speed in the sense that the corresponding solution with compact supported initial datum does not have compact spatial support any longer in its lifespan.
A corresponding result for compact almost automorphic functions is also true (see [19, Lemma 3.6]).
We also find conditions to obtain the corresponding subclasses of compact matrix operators by using the Hausdorff measure of noncompactness.
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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