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This is so because multidimensional free-energy projections onto an order parameter underestimate the barriers, which only approach their true magnitude when the projection represents an optimal reaction coordinate29.
For the sake of completeness we also consider the species combinations in which the breaks can be unambiguously placed onto an order (for example, rodent or primate), if not a species.
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Ultrathin alumina monolayers grafted onto an ordered mesoporous SBA-15 silica framework afford a composite catalyst support with unique structural properties and surface chemistry.
Stoichiometric AlSb deposits were obtained from an acidic AlCl3/EMIC (1.5:1 molar ratio) melt containing 4 × 10−3 mol/l of SbCl3 onto an ordered TiO2 nanotubular template.
The novelty of the algorithm lies in its rigorous mathematical formulation that, starting from a large set of noisy input data, finds a set of "representative" items, organized onto an ordered output map, such that the probability density of this set of representative items resembles at its possible best the probability density of the input data.
In that way, the projection onto an ordered set of prototypes also provides a dimensionality-reduced representation of the data in terms of a one-dimensional array index.
Let α be a function that maps each node u of G onto an ordered sequence of nodes of S′, denoted α u).
In order to identify whether the transcripts would be clustered to particular areas on these scaffolds, we aligned them onto an ordered list of genes on the individual scaffolds.
The favelas are an order onto themselves; they are not simply a little appendix to the city.
In assays performed across a range of temperatures, Sly1 loading onto SNARE Sec17 complex decreased by an order of magnitude as temperature dropped from 26.5°C to 20°C.
Those who think they're hanging onto a stable order are actually clinging to the wreckage of the old order, a ship already sinking, that we need to leave behind.
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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