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Applying this transformation must then result in a transformed equation of exactly the same type as the original equation.
Applying this transformation method, attributes with almost zero skewness that approximately follow multivariate normal distribution are obtained.
Applying this transformation to our benchmark results, we find that elasticities are approximately two times bigger in the long run than in the short run.
Some caution must be exercised when applying this transformation as it will break down when the determinant of the Jacobian of the transformation vanishes.
After applying this transformation to Eq. (8), by use of the second equality of Eq. (4), the original fractional partial differential equation can be transformed into another fractional ordinary differential equation in one independent variable.
Indeed, applying this transformation in SNP-specific manner is difficult to adopt conceptually.
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We applied this transformation to all LSBCI components.
To apply this transformation in the Wigner function, we insert a paraxial negative lens directly into Eq. 1.
Another plausible model, however, is that participants first choose the spatial rule to apply to the current stimulus (e.g., "move right by two"), then apply this transformation to obtain the correct response (Duncan 1977).
Before applying this robust counterpart transformation in the LCUC model, all the random power output must be rewritten as (25).
This allows applying the transformation based semantics and compositionality result of the generic framework to Petri net modules.
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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