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The phrase "as an open problem" is correct and usable in written English.
It is typically used in academic or technical contexts to refer to an issue or question that has not yet been resolved or answered.
Example: "The question of whether P equals NP remains as an open problem in computer science."
Alternatives: "as an unresolved issue" or "as a pending question".
Exact(49)
We consider this as an open problem.
We leave it as an open problem.
Silvey identified finding such an inverse as an open problem.
However, he left public key cryptography as an open problem.
It is, therefore, left as an open problem.
They succeeded in proving one class and left the other one as an open problem.
Similar(11)
There are clearly similarities here with the irregular tiling scheme or the introduction of vagueness, but the important distinction is that statistical and probabilistic concepts are (fairly) well understood, whereas the tiling problem is, as mentioned, an open problem, and vagueness remains a notoriously difficult concept to grasp (see the entry in this encyclopedia on vagueness).
As a consequence, an open problem for the convergence of integrated semigroups on the whole space E, is solved in essence.
Consequently, the findings of this article encourage the search for non-polynomial eigenfunctions of the limit q-Bernstein operator whose existence as yet remains an open problem (cf. [3]).
How to design effective error-control methods, for models with a large steepness parameter β, is, as far as the authors know, still an open problem.
For this reason, we pose an open problem as the end of this paper.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com