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For example, its tangent may be undefined at some or indeed any point; the curve may enclose a finite area but be infinite in length; or its curvature may be undefinable.
In this case, and considering the observations collected, the objective function may be undefined, due to the correlation matrix R for small θ, which is not an invertible matrix.
The reason is simple: if 0 ∉ C, we cannot take u = 0 either in (1.3) or (1.4) since the contraction T t x = (1 - t Tx is no longer a self-mapping of C or the point (1 - α n )Tx n may not belong to C and consequently, {x n +1} may be undefined.
This suggests that there may be undefined conditions, such as different times in the developmental pathway, where these silent CgrA binding sites may become important.
The nbg(i) may be undefined, if there are no bigger pv(a k ), in which case the inner loop is done and the outer loop proceeds to the next j.
Similar(55)
And whereas option (i) simply takes this to mean that π may sometimes be undefined, option (ii) can be characterized by saying that the range of π may include values intermediate between 0 and 1, i.e., effectively, values from the closed real interval [0, 1].
Value massNumber may therefore be undefined, which is represented by its type: Option[Int].
What is meant by 'withdrawal' may be left undefined in a consent form.
However, what is meant by withdrawal may differ between projects, may be relatively undefined, and may not be explained to participants.
It should be stressed that the number of child objects of a template may be left undefined, improving the template expressiveness.
The results may be somewhat undefined for a major corporation (what conference really delivers measurable results?) but they exist.
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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