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The phrase "assignments defined by" is correct and usable in written English.
It can be used when specifying the criteria or parameters that characterize certain assignments or tasks.
Example: "The assignments defined by the curriculum are designed to enhance students' critical thinking skills."
Alternatives: "tasks outlined by" or "projects specified by".
Exact(2)
Principally, our algorithm computes non-intersecting subsets of falsifying assignments of F until the space of falsifying assignments defined by F is covered.
For instance, one of the training series comprised the series of 1139 peptide assignments defined by the two LC-MS/MS experiments with index 14 and 18 (out of all 37 experiments).
Similar(58)
Functional assignments are defined by Gene Ontology (GO) terms [ 37], which provide broad functional classifications for genes and gene products representing their corresponding biological processes, molecular function, and cellular localization.
The sub-band allocation and power assignment problem defined by (6)–(8) is NP-hard.
Finally, assuming the RF resource assignment policy, as defined by Equation (4) ρ r = SE j 0, r Avg SE r, u (28).
For each n, the CNC index assignment [7] is defined by π n CNC i = i, for 0 ≤ i ≤ 2 n − 1 − 1 i + 1, for 2 n − 1 ≤ i ≤ 2 n − 2 and i even i − 1, for 2 n − 1 + 1 ≤ i ≤ 2 n − 1 and i odd.
Paralleling a previous analysis, long-term treatment with delamanid was indicated as ≥6 months, defined by assignment to delamanid or placebo in Trial 204 and participation in Trial 208, and short-term treatment with delamanid was indicated as ≤2 months, defined by assignment to delamanid or placebo in Trial 204 and no participation in Trial 208 [ 6].
The optimal value of the inclusion radius parameter Ro has been determined on a dataset comprising all CASP9 predictions for multidomain targets, and the corresponding assignment of AUs as defined by the CASP9 assessors.
Classification accuracy was examined using logistic regression in which the dependent variable was defined by assignment (or not) to the top 5% risk group in terms of Year-2 charges (high consumer yes/no).
Clusters defined by assignment analyses of nuclear markers correspond well to the mtDNA topology; of the six inferred demes, G, N, P, and S correspond largely to main mitochondrial clades G, N, P, and S, and demes C1 and C2 together account for the mitochondrial clade C. Substructure in the mitochondrial clade C does not correspond to the genetic break between demes C1 and C2.
A general problem in using stochastic simulation tools for layer-based models is that there are species that are defined by algebraic assignments.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com