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Our qualitative observations were verified by computational and statistical analyses of three schizophrenia and four control patients and are described below.
The validity of the proposed model and algorithm is verified by computational results.
The effectiveness and accurateness of the proposed algorithm is verified by computational results.
This relation has been verified by computational modeling as well as non-invasive laser experiments.
The effectiveness of this bi-layer optimization approach is verified by computational experiments on well-designed and real-world scheduling instances.
This finding was verified by computational analysis that showed that up to 99.9% of some metals were converted into metal oxides during the sintering process.
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The correctness of the conclusion was verified by the Computational Fluid Dynamics (CFD) simulation.
Then, the design methodologies of both the integrated axisymmetric basic flow model and the integrated waverider vehicle are verified by a computational numerical method.
The validity of the mathematical model is verified by a computational fluid dynamics (CFD) analysis on the flow and nutrient transport of the DOW plume.
The reduction of computing time is particularly dramatic and estimates based on operation counts are partially verified by actual computational experience.
The stereochemical outcome of the proposed steps has been verified by both a computational study and the synthesis of a model system.
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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