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Pages 73-75

The Chapter Skim interface presents what we've algorithmically identified as the most significant single chunk of text within every page in the chapter.
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From page 73...
... Thus calling this measure a distance is formally correct for a wide class of scoring schemes d. Immediately note that the distance and similarity perspectives are complementary.
From page 74...
... The problem of finding a maximum (minimum) -scoring alignment among K sequences can be solved by extending the dynamic programming recurrence for the basic problem from a recurrence over a two-dimensional matrix to a recurrence over a K-rlimensional matnx.
From page 75...
... Thus many authors have sought heuristic approximations, the most popular of which is to take o(K2N2 ~ time to compute all pairwise optimal alignments between the K sequences, and then produce a multiple sequence alignment by merging these pairwise alignments. Note that any multiple sequence alignment induces an alignment between a given pair of sequences (take the two rows of the tableau and remove any columns consisting of just dashes)


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