All of this history is necessary to explain why the MTC's mainstage production of a classic text, directed with flair, of flawless design and containing a quartet of excellent performances is – for it truly is – such an excruciating night in the theatre.
Since Q′ is compatible, but by assumption, Q is incompatible, Q must contain a quartet q2 that is pairwise incompatible with some quartet in Q′.
Exceptionally, SjGPx1 contained a quartet pattern of class II (GTGA_AA_GA).
For each phylogeny T5 such that | Q T 5 − Q T ′ 5 | = 2, i.e., there are two quartet errors, we conclude that these two quartet errors must contain a common subset of three taxa out of the five, and the induced sub-phylogeny of T ′ 5 on these three taxa should not contain any other taxon from the five.
By performing intragenomic comparison in chicken, we identified a quartet of chromosomes containing ENC1, -2, and -3 and the region that presumably erstwhile harbored the putative fourth paralog (fig. 4).
If Q contains two different quartets on the same four taxa, then Q must contain an incompatible pair of quartets.
Now there's a lingering shot of David Gregory, looking like he maybe doesn't know how to contain this quartet of radical thinkers!
For example, if all the input trees have coverage of 83%, the probability that an input tree contains a random quartet is roughly 0.83≈0.5, meaning that most quartets will be decided based on just 2 or 3 votes, and some of them might not appear in any of the input trees, which means that another quartet query has to be asked.
Each region of the triangle or 'basin of attraction' contains a percentage of quartets that support a particular topology.
A quartet of bleating goats was similarly dispatched.
