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The phrase "a general construction for" is correct and usable in written English.
It can be used when referring to a broad or overarching framework or method for something, often in technical or academic contexts.
Example: "The architect proposed a general construction for the new building that would allow for flexibility in design."
Alternatives: "a broad framework for" or "a universal model for".
Exact(3)
In this paper, we lay out a general construction for the AUSM+scheme and prove its heretofore unreported mathematical properties.
We give a general construction for unitals of order q admitting an action of SU 2,q).
Then we introduce a general construction for signed dual volume to incorporate material information and take into account the case when circumcenters fall outside triangles or tetrahedrons, which may lead to negative dual volume without Delaunay triangulation.
Similar(57)
A general construction method for mixed-level supersaturated design is proposed.
We then present a general construction method for single or multiple binary/grayscale/color secret images using matrix extension utilizing meaningful shares.
A general construction technique is developed for complete diallel cross designs laid out as nested balanced incomplete block designs with sub-block size two.
It included a completely general construction for Pythagorean triples: three whole numbers that can represent the lengths of the sides of a right triangle by satisfying the Pythagorean equation x2 + y2 = z2.
For a smooth exposition, we start by a general construction as in [17].
His father owns a general construction company bearing his name.
We show that a group acting regularly on the points of such a design must be abelian and give general construction for this case.
However, nearly all the prior works on CS-based NOMA typically use the pseudo random noise (PN) sequence as the spread signatures and do not consider the general construction method for the spread signatures to ensure the sufficient recovery for users' signals in CS-based multi-user detection.
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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