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The numerical methods must be used for arbitrary geometries instead.
This approximation procedure can be used for arbitrary hyperbolic systems.
The adopted solution method may be used for arbitrary combinations of boundary conditions.
The proposed solution method may be used for arbitrary in-plane and out-of-plane edge supports.
Mutual effects of coil dimensions on the produced magnetic force are elaborated and summarized in a design flowchart to be used for arbitrary muscular vessel sizes.
Note that all models can be used for arbitrary parameter values.
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"The listener loses the ear for the most beautiful sounds if they've been used for arbitrary, non-important things," he says.
The second one is an application of the Fast Multipole boundary element method (FMBEM), and can be used for an arbitrary structure.
Moreover, in the structure of the Hausdorff-Bebutov metric, the local compactness of R n is fundamental, so the definition of this metric itself cannot be used for an arbitrary metric space X.
Note that the model can be used for rats of arbitrary body weights as well as for different injection times and amounts of injected labeled and unlabeled insulin.
Applying the modified Betti׳s theorem, these formulae can be used for analysis of any arbitrary topologically equivalent beam on an elastic foundation.
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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