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Bayes Factors were calculated using the equation 2 [ln(harmonic mean of constraint) - ln(harmonic mean of original analysis)] in which strongly negative values (below -10) indicate rejection of the constrained analysis [ 41].
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(7) to (12) is clearly given by the relaxation of Constraint (9) by means of Constraint (15).
But these means of constraint are themselves but a fraction of the social forces concentrated in the hand of the sovereign" (197).
In the case of CONFAC models, such a collinearity takes the form of repeated columns, the repetitions being explicitly modeled by means of constraint matrices.
Examples can be constructed by encoding instances of solvable post correspondence problems by means of constraint set satisfiability, using Smith's scheme [18].
Then, the objective function is approximated by a convex function and the integer programming problem is solved by means of constraint relaxation techniques.
To Jouvenel, sovereignty reached its peak in Hobbes, in whose "horrific conception everything comes back to means of constraint, which enable the sovereign to issue rights and dictate laws in any way he pleases.
An example that exhibits an incorrect behavior, constructed by encoding a solvable post correspondence problem (PCP) instance by means of constraint set satisfiability, using G. Smith's scheme [6], is shown below.
When a child with active wrist extension would only show affected hand use during the beads but not during the muffin task of the VOAA-DDD, it should be trained to overcome its developmental disregard, e.g. by means of constraint induced movement therapy.
Then, we impose the accomplishment of these properties on explicit discrete filters by means of constraints.
The failure criterion is taken into account by means of constraints introduced in the optimization problem.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com