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Mathematically, estimating such a function is a generalized constrained functional regression problem.
A function is a solution of the functional equation (1.7) if and only if there exists a function such that (2.1).
A function is a solution of the functional equation (1.4) if and only if is of the form for all, where is the diagonal of the 5-additive symmetric map.
First, we note that a function is a solution of the functional (1.5) in the class of all functions between vector spaces if and only if the function is quadratic.
A function is a relationship in which every value of an independent variable say x is associated with a value of a dependent variable say y.
Intuitively, the axiom schema of replacement is the assertion that, if the domain of a function is a set, then so is its range.
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A function is an approximate solution of if and are close in some sense.
A function is an upper solution for (3.2) if and (3.4).
A decline in cognitive function is a normal consequence of ageing.
Since is an increasing convex function, is a convex function.
A second-level function is a function whose arguments are first-level functions.
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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