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This dataset of 203 taxa and 1662 characters was analyzed with MrBayes using the following constraints: (1) all monocot orders were forced to be monophyletic; (2) the relationships between the orders was constrained according to the multi-gene monocot topology by Chase [ 74], and (3) the relationships between the Burmanniaceae taxa were constrained to the multi-gene tree presented in this study.
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This can be easily incorporated into our mathematical framework by using the following constraint: (2) w k.
This is guaranteed by using the following constraint: (18) If S i is selected, at least two covering epitopes have to be selected in order to satisfy the constraint.
In this work, we used the following constraints: 1.5 cmin30 min) for ZWD, 0.5 mm/(2 h) for the gradients, and 1.3 cmin30 min) for the clocks.
Quality control was performed and the reads aligned to the genome hg19, downloaded from UCSC (http://genome.ucsc.edu/), using SOAPaligner2.21 with the following constraints: maximum number of mismatches allowed on one read is 5 bp, no gaps allowed, only repeat hits reported.
The homologous proteins were first detected using BLASTP [ 23] with the following constraints: an E-value less than 0.001 and an alignment extending for at least 70% of the length of the shorter matching protein.
To make the design simple, the following constraints are used: 1.
For the PTVtrim, the following constraints were used: uniform dose (42.56 Gy), maximum dose (45.5 Gy, point dose), and minimum dose (40.6 Gy).
For repeat identification, the following constraints were used: (i) minimum repeat size of 30 bp, and (ii) 90% or greater sequence identity, based on Hamming distance equal to 3 bp [ 3].
PARAFAC was performed by using the N-way toolbox (Andersson and Bro, 2000), with the following constraints: no constraint on the first tensor dimension, and non-negativity on the second and the third tensor dimensions.
Phylogenies were inferred using both neighbor-joining and minimum evolution tree-building algorithms under the following constraints ((((primates), rodents), (artiodactyls, carnivores)), platypus).
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