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Since we seek an assignment on the vertices of the network with no conflicts in the reticulate vertices, S r (i) is a lower bound on the cost of such assignment where the root vertex is assigned i and all vertices are assigned with a unique assignment.
Since S r (i) is a lower bound on the optimum assignment where the root vertex is assigned i and all vertices are assigned with a unique assignment, and since S = min i S r (i), we conclude that S is a lower bound of the optimum we seek to find.
In practice, however, unique assignment of all backbone spin systems from this experiment alone is not possible due to insufficient dispersion of the 13Cα chemical shifts, resulting in multiple degeneracies in peak positions.
As advisory coach of the Chicago Bears (1951 61), he also planned defensive systems that were revolutionary in that they required each player to fulfill a unique assignment in order to counteract any offensive play.
If a traditional "match in frequency alone" approach is used with a resolution window of 42 Hz that corresponds to the typical resolution of HNCA for uniformly labeled sample, we can only establish unique assignment for <5% of the backbone (Fig. 4c, green).
Davis was a 27-year-old fine arts major, still mourning the death of an older brother in an auto accident a month earlier, when the professors Daniel Livingston and Craig Wedderspoon presented a unique assignment to him: draft a model for a statue of one of college football's iconic active coaches.
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Individualized help acknowledges that each student comes to school with a unique set of experiences and understandings, therefore each need unique assignments.
They were grown to an objective of 200 g mean weight, where 737 to 775 fish were slaughtered in each site, and their parentage was recovered using 6 to 7 microsatellite loci, resulting in 98.9% unique assignments.
Only unique assignments to properly named chromosome bands were used in the analysis.
Each of the four methods is highly precise and able to generate unique assignments that are not detected by the other three components.
This yielded unique assignments for 94.1% (606 of 644) of the NOE peaks observed, providing 488 nonredundant H H distance constraints.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com