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We identify the compatible sets of singular values as a non-abelian moment polytope an object that is studied in symplectic geometry, asymptotic representation theory, and algebraic geometry.
As a result of ROR, one gets necessary and possible preference relations in the set of alternatives, which hold for all compatible sets of parameters or for at least one compatible set of parameters, respectively.
Three compatible sets of primers, specific for each virus, were designed in conserved regions of the viral genomes for use in a one-step (single tube) RT-PCR assay.
Compatible sets of sequenced level 0 modules (for example promoter, 5' untranslated region, signal peptide, CDS and terminator) are then assembled into a level 1 destination vector with a second Golden Gate reaction using the enzyme BsaI, leading to creation of a level 1 module, which contains a eukaryotic transcription unit (TU1, Fig. 3 and 4A).
Compatible sets are further grouped according to their maximal elements.
Within each group, the union of the compatible sets produces a subcluster.
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In [ 9], it was also shown that we can determine the compatibility of a pairwise compatible set C of three-state characters by testing the intersection patterns of C for the existence of one of a set of four forbidden patterns.
As a corollary to Theorem 10, we have that a single forbidden pattern suffices to determine the compatibility of C. Corollary 5. A pairwise compatible set C of 3-state characters is compatible if and only if the partition intersection graph of C does not contain, up to relabeling of characters and states, the subgraph of Figure 5.
We define the Average Curve (AC) of a compatible set of two or more smooth and planar, Jordan curves.
When asked why, then, the Met did not schedule an opera with a more compatible set, Mr. Gelb said it made sense to bring back "Tosca" because of the investment in rehearsal time.
Treating a number of ground motion records, close agreement between the scaled-average spectra and the design target were achieved, identifying the proposed algorithm as an acceptable and efficient technique to generate a spectrum compatible set of records for further dynamic structural analyses.
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