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In Section 3, we introduce four constraint functions and integrate them into the F-NMF algorithm.
They then adapt the mesh based on the provided metric tensor and four constraint factors minimum and maximum Euclidean edge lengths, maximum stretching of the metric, and target length of an edge in the metric.
Three cost functions, distinguished by the severity of the penalty put on the size of the candidate collectors, and four constraint regimes, defined by two displacement and two power rating limits, are the governing influences on the twelve optimization procedures described.
The term λ w u k can be linearized in the same manner as previously described; let vℓ k = zℓ u k, ℓ=1,…, Z. Then by enforcing e k = u k −∑ℓ=1 Z 2−ℓ vℓ k, together with the additional four constraint sets on the vℓ k variables, we can replace any occurrence in the form of expression (b) with u k.
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Accordingly, based on the metabolic core model of E. coli, we constructed four constraint-based models: Model, Model_del_ldh, Model_del_pfl, and Model_nzn for wild-type E. coli, ldhA mutant, pflB mutant, and NZN111, respectively (see "Methods" section).
The four constraints of TopkTR are satisfied.
These examples show the posed problems that satisfies four constraints and only one constraint.
Four constraints are violated and one constraint is not violated or satisfied.
The CCP model has four constraints associated with risk levels indicating the possibility of constraint violation.
Seven performance indexes and four constraints are involved in modelling the nanopositioner.
The only effective remedy seems to be a mix of all four constraints together -- the UN, regional bodies, powerful states, and legal pronouncements.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com