The authors showed that any common interval θ between two permutations π and π T has a generating chain of intervals (γ1, γ2,..., γ k ), such that the intervals γ1, γ2,..., γ k are listed in lexicographic order, and, for each pair of consecutive intervals γ j, γ j +1, we have γ j ∩ γ j +1≠ ∅.
African and European melodies sometimes consist of chains of intervals, e.g., of thirds or fourths.
When Caliban and Ariel regain possession of the island, in an epilogue to Shakespeare, Prospero's chains of intervals recur, except that the claustrophobic semitone has widened one degree and the cycle moves not down but up.
The number of elements of the hash chain correspond to the number of intervals in which the source transmits.
The weight chain length distribution is calculated using the method of finite molecular weight moments in which the weight fraction of polymers over a number of finite chain length intervals covering the theoretically infinite chain length domain is calculated.
For example, the generating chain of the reducible common interval {1, 2, 3} between the permutations (-3, 2, 1, -4) and ℐ4 is ({1, 2}, {2, 3}) (the intervals {1, 2} and {2, 3} are irreducible).
The length of intervals of the supply chain's profit improvement decreases in the balance parameter.
One of the first behavioral specification theories introduced for stochastic systems is the one of Interval Markov Chains (IMCs), which are Markov Chains whose probability distributions are replaced by a conjunction of intervals.
Bayesian analysis was performed with random starting trees and unlinked parameters and run for 5,000,000 generations, sampling the Markov chains at intervals of 100 generations.
We performed four runs of 10 million generations (started on random trees) and four incrementally heated Markov chains (using default heating values), sampling the Markov chains at intervals of 1,000 generations.
The transcripts of intervals were first coded using elements from participant analysis and cohesion chains (Halliday, 1994; Martin and Rose, 2003).
