Sentence examples for a collection of splits from inspiring English sources

A collection of splits Σ is compatible if and only if all splits are pairwise compatible.

Note that a trivial split of L is compatible with every split of L. Let Σ be a collection of splits of a label set X that includes all trivial splits.

Formally, a collection of splits of X is circular if there exists an ordering x1,⋯, x n of X such that every split is of the form { x i, x i +1,⋯, x j}| X - { x i,⋯,x j} for some i and j, 1 ≤ i ≤ j ≤ n.

Two different splits S1 = A1| B1, and S2 = A2| B2, are compatible, if one of the following conditions holds: A 1 ⊆ A 2, A 1 ⊆ B 2, B 1 ⊆ A 2    o r    B 1 ⊆ B 2. A collection of splits is called compatible, if all possible pairing of splits are compatible.

Scholars have often treated Beethoven as a collection of split personalities — the classicist, the heroic romantic, the musing proto-modernist.

His hardships become, as Beethoven wrote, "signposts of a happy life". Scholars have often treated Beethoven as a collection of split personalities the classicist, the heroic romantic, the musing proto-modernist.

A phylogenetic network can be constructed from a collection of weighted splits.

N-Net uses circular ordering to construct a collection of weighted splits.

The N-Net works in a similar way: it first produces a circular ordering from distance matrix and then constructs a collection of weighted splits.

The N-Net produces a circular ordering from a distance matrix, then constructs a collection of weighted splits using circular ordering.

The MC-Net seeks to find an optimal circular ordering from the distance matrix and then extracts a collection of weighted splits based on that ordering.