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"state of the problem" is a grammatically correct and commonly used phrase in written English.
It is typically used when discussing or analyzing a problem or issue in a formal or academic setting. Example: The paper will examine the state of the problem of food insecurity in developing countries.
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Stathakopoulos, D. Reconstructing the climate of the Byzantine world: State of the problem and case studies.
The model is customized to the primarily compressive stress state of the problem at hand and is calibrated to the compressive hysteresis of the material.
The proposed method allows the orderly and systematic acquisition, under emergency conditions, of data that are useful for the management of a particular situation and for defining an initial cognitive state of the problem.
Each configuration is a "state" of the problem space.
Moreover, from the argument of Theorem 1.1, we find that the ground state of the problem (NLS) p we obtained is a minimizer of Φ p on M p. □.
More importantly, the physical configuration of the problem changed in the high interactivity condition: thus, participants' actions wrought changes in the physical configuration of the problem, changes that are contingent on the preceding state of the problem.
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Recent papers show its excellent performance when tested on state-of-the-art problems.
Motivates your project and introduces your audience to the state-of-the-art for the problem you're working on.
The series offers publications that present the state-of-the-art regarding the problems in question.
Therefore, it is possible that some part of the state space of the problem is not analyzed and checked well.
Conventional parallelization strategies distribute the state space of the problem amongst cores and distribute the task of computing for a single time step amongst the cores.
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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