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Statistical support for alternative hypotheses was determined by constructing a constraint trees for each alternate hypothesis and using the constraints to filter trees from each analysis (100 bootstrap trees from maximum-likelihood, 1000 trees from neighbor-joining analysis, and 320,000 trees from Bayes) in Paup* [120].
In order to implement the K-H test, a model tree was built by first constructing a constraint tree reflecting pure raw material groups (i.e. taxonomic units of identical raw material were linked together in a multifircating clade).
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Namely, RAF uses a single-sequence RNA secondary structure prediction program CONTRAfold; Do et al., 2006b) and a pairwise RNA sequence alignment program (CONTRAlign; Do et al., 2006a), respectively, to construct a constraint set 𝒞 of allowed base pairs and aligned positions in a and b.
Step 7: It recognizes all these constraints along with the initial constraints to construct a single constraint matrix.
We combine constraints by constructing a network in which constraints are joined by connectors.
To determine critical design dimensions, we propose a novel and efficient dimensionality reduction (DR) model that adapts Gaussian process regression (GPR) to construct a topological constraint between the design latent variables (LVs) and the regression space.
The toolbox automatically constructs a convex constraint satisfaction problem that incorporates all available data and the model equations.
The adder function constructs an adder constraint over three connectors, where the first two must add to the third: a + b = c.
It constructs an ImposedMotionSP constraint used to enforce the response of a degree-of-freedom at a node in the model.
When C is equal to one, we can fall back to using the built-in min construct in a constraint (e.g., M #= min(L1, min(L2, L3))).
Then, we further consider the case of asymmetric time-varying output constraints by constructing an appropriate BLF.
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