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This model is suitable to capture texture, however, it is not easy to handle in practice because the G norm is involved a term coming from an L ∞ norm.
So, the entire algorithm, as well as the numerical integration, cannot be used for this term (coming from the presence of r12-1), only the above mentioned analytical one.
Moreover, the first one cancels against a term coming from the expression ( S [ n − j + 2 ] ) ∗ J S [ j − 2 ], and similarly, the last term in (15) also disappears.
Note that we should incorporate the scale factor (tau ) in the functional F which means that, for practical purposes, convexity in P is guaranteed as soon as V and W have second derivatives which are bounded from below (they are semi-convex) and (tau ) is small (the quadratic term coming from (W_2^2) will always overwhelm possible concavity of the other terms).
where h i represents the health status of individual i (objective or subjective measures); x i is the income of individual i; Z i is a set of individual specific control variables2; and ε i is the error term coming from differences in individual health.
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(The term comes from the Latin word for "whiteness").
(The term comes from the French levée, meaning "raised").
The term comes from the Greek gnosis, meaning knowledge.
That term comes from a science fiction story by Robert Heinlein.
Coined by the mathematician Benoit B. Mandelbrot, the term comes from the Latin "fractus," meaning broken.
If you've forgotten where the term came from, look it up.
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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