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"explore a problem" is correct and usable in written English.
You can use it whenever you need to describe looking deeper into an issue or questioning a topic in more detail. For example, "This research project will explore a problem in the world of molecular biology."
Exact(3)
But Bart knew that MKS had long wanted to explore a problem related to pressure sensor functioning for which the company lacked expertise in-house.
However, the book format does give you the benefit of the space to really explore a problem and offer up your solution, which will give you instant authority status.
In the same way that you can explore a problem laterally — such as by playing with words or challenging assumptions — you can also explore it at different "altitudes".
Similar(56)
In this thoughtful and evocative if sometimes sentimental novel, Slouka — himself the son of Czech immigrants — explores a problem surely familiar to us all, but perhaps especially acute for children of transplanted parents.
10 HFE explores a problem by looking at the people within a system, their interactions with each other and the system and then redesigning the tasks, interfaces and system.
Rather than take a risk and explore a new problem, or propose an unconventional solution, they may take an incremental approach to a familiar problem.
Overview of Lesson Plan: In this lesson, students explore a particular problem with the development of new television shows and create original reality-based educational programming.
We explore a prediction problem in a different time period at the fixed monitoring sites where some relevant data on sources and past air quality data may be available.
We explore an important problem in prioritizing product design alternatives, using a real-world case.
Under the assumption that investors have the logarithm utility function, this paper adopts the methodology of nonparametric estimation and the expected utility maximization (EUM) model to explore a portfolio engineering problem with bankruptcy control.
The increasing quantity of available biomedical data pose a challenge to life scientist wishing to explore a particular research problem.
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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