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Suppose we have a differential operator D acting on a function u to produce a function p (Hatami et al. 2013).
This step should produce a function that can assign a utility value for any level of functioning within the domain.
This will effectively alter the KE value and increase the concentration of agonist receptor complexes needed to produce a function response.
Equation (6) is used by SVM to produce a function h (Eq. 3) using the training subset, whereas the function h is evaluated (Eqns. 4 and 5) using the test subset.
In our case, the aim is to produce a function h (Eq. 3) such that the relative ordering of (h x1),...,h xm)) is as close as possible with the observed ordering of (y1,...,yn).
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In order to produce a functioning system, both will have to give ground.
The Mecca agreement has laid the foundations for a power-sharing process that will produce a functioning government capable of attending to our people's needs.
Three examples are given: a four-bar linkage generating a straight path, the same type of linkage generating a square angle (both without correlation), and a six-link Stephenson's mechanism producing a function with a dwell range.
A discriminant function analysis (DFA) of the orthogonalized data produced a function with clearly distinctive mean discriminant scores for movements of the model and the non-observers.
Only Tunisia has produced a functioning parliamentary system.
It will help if the election produces a functioning government.
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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