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for all, then there exists a unique (ring) homomorphism satisfying (2.13).
Herein, as a whole, ChemicalBlock and Specs have more unique ring systems, as shown in Table 2.
The definition results in a unique ring description consisting of a number of ring prototypes which is at most quadratic in the number of atoms.
A sampling of intersecting ring systems appears in Figure 10 and a sampling of unique ring systems from the complement of the enumerated set appears in Figure 11.
There exists a unique ring homomorphism W ( k ) → O commuting with the projection on k = W 0 ( k ) (ibid, II.5).
Fragment sampling in the OMEGA model building stage helps to ensure that flexible ring systems are appropriately examined to find all unique ring conformations.
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The time taken to compute the unique rings is now comparable allowing a correct usage throughout the toolkit.
Moreover, the phenyl ring of pTyr is stabilized by a unique ring-stacking interaction with a histidine residue that is proximal to the phosphate-binding arginine residue [ 145].
This structure contains a unique thiophene ring in ϕ1 and a hydrophilic amido group between ϕ1 and the amine.
The "ringpoem maker" lets you choose a font and a design and Shapeways will do the rest, creating a unique napkin ring for your special occasion.
But with the variable angle screen, pocketable form factor, and unique control ring mechanism, it's a winner based on my early initial tests, especially for those looking for something with better IQ than their smartphone, but with a lot of the same features and similar portability, too.
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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