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The proposed method is numerically tested with 2D examples including a successful approximation to a continuous spectrum flow.
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The required number of random realizations to achieve a successful approximation linearly depends on the function dimensionality.
The mass of the Sun is not very great, and no planets, aside from Mercury, move very near it; thus, in describing the solar system, Newton's law of gravity had been quite a successful approximation.
In this case, T is successful where it is a good approximation to T′ and T′ is successful.
On the other hand, in situations where T′ is still successful but T is a poor approximation to T′, T will fail.
However, various approximations can make the problem tractable (e.g., a Taylor Series approximation to a difficult-to-evaluate function).
This model provided a good approximation to the experimental data.
This is of course a coarse approximation to reality.
While this model is not an approximation to traditional models, it is a good approximation to radial distortion.
A circle drawn in the sand was an imperfect approximation to the ideal Platonic circle hanging in some abstract space.
TAGLIOLINI GRATINATI WITH PRAWNS AND TREVISO This recipe is an approximation to a dish served at restaurant Da Fiore in Venice.
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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