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The results of the classical engineering design problems and real application prove that the proposed algorithm is applicable to challenging problems with unknown search spaces.
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The successful application proved that ANN model can be used in engineering practice as a convenient and effective method, and those traditional hydraulic problems which are mostly based on laboratory tests can be analyzed by ANN modelling.
The examples of application proved that the approach allows reaching good local optimal solutions.
Clinical application proves that the GammaKey is a robust and reliable system with high-quality image output.
The quality of the applications proved that the best science happens when the world's top scientists work in collaboration with each other," said Foulkes.
Field application proved that foam technology using the new foaming device made a marked dust suppression effect.
The examples of application proved that both approaches allow reaching best solutions from the literature or even better ones in some cases.
The constructed applications prove that even such low recognition results can be useful in particular tasks.
Several applications prove that gamified systems increase user engagement and performance.
For application we prove that the Samuel additivity formula on Hilbert spaces of holomorphic functions is equivalent to a generalized Gleason problem.
As an application, we prove that the manifold is convex if and only if the Neumann heat semigroup Pt satisfies the gradient estimate |∇Ptf|⩽eKtPt|∇f| for some constant K∈R and all t⩾0, f∈C1.
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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