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For solving the later cited problem, and preserving the same context of using a sigmoidal function, we intend to modify the diffusion function to reach the joint goal namely good gray level and good sharp edge of the fault.
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Furthermore, fixin' to in (6) cannot be replaced with planning to and preserve the same meaning.
This research attempts to identify momentous character of this city and preserve the same with its values.
The Internet is the heir of that early network and preserves the same resilient design, which is one reason it was so much less affected than local telephone and television service on Sept. 11.
If this is the case, then there exists a family ({Y_{t}}_{tin mathbb {T}}), where (Y_{t}in mathcal {X}), such that (varphi _{t}(Y_{t})in L^{0}_{t}) for any (tin mathbb {T}), and so we can consider maps (tilde {varphi }) given by (tilde {varphi }_{t}(cdot):=varphi _{t}(cdot -varphi _{t}(Y_{t})), that satisfy assumption (10) and preserve the same order as the maps φ t do.
It has been proved that modified Direction Cosine (mDC) avoids the problem of numerical overflow and preserves the same properties as Euclidean distance does [ 12].
This process of motifs appearing and disappearing while preserving the same interactions is sometimes referred to as "turnover" [ 35].
In order to ease the later inspection of results, we limited the number of genes used in the clustering analysis to the 150 most up-regulated and the 76 most down-regulated, preserving the same ratio as between all 706 and 357 up- and down-regulated LXR target genes.
This has been made possible thanks to the preparation of several molecules containing various anchoring groups (thiol, thioester, acyclic and cyclic disulfides, thiosulfonate) while preserving the same spacer redox head group.
Instead, an interaction energy mapping was proposed by Chimpri and Macchi [120], that while preserving the same simple visualization of threshold density approaches, it contains much more quantitative information because the energy is in fact evaluated in more accurate way using Volkov's method and therefore it is the total interaction energy to be computed, not only the repulsion.
LOFESS improves this idea by both zeroing out any pixel in occluded areas and preserving the facial structure at the same time.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com