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The phrase "across problems" is correct and usable in written English.
It can be used to indicate a consideration or application that spans multiple issues or challenges.
Example: "The research team found common themes across problems faced by different departments."
Alternatives: "throughout issues" or "among challenges".
Exact(23)
When he started in the business, fifteen years ago, he sometimes came across problems he couldn't solve, and he'd pay other technicians to make the repairs.
"We come across problems with service all the time," said Betsy Tsai, co-director of the Courtroom Advocates Project at Sanctuary for Families, a nonprofit group.
As we worked we inevitably came across problems; Nigel, our indefatigable programme manager, would insist on calling them "challenges", and casting possible actions as "opportunities", to the point that it became a running joke.
Having made a living for several decades trying to hone that blade as a copy editor, I ran across problems like the one in the PSAT question a dozen or more times every night.
"This comes from all political parties as there are a lot of MPs who are coming across problems where leaseholders are being routinely overcharged and bullied into submission by the legal shenanigans of managing agents or freeholders," Sir Peter told me this week.
Perfect translation of the synapomorphies would yield a mean across problems of 5.875.
Similar(36)
The parameter setting of an algorithm that will result in optimal performance differs across problem instance domains.
A graphical representation of the ET means as a function of time and group, collapsed across problem type, is presented in Fig. 3.
Students' performance differed across problem elements, z = 7.15, p < .001, and including element (slope vs. intercept) in the model improved model fit, χ 2 (1) = 34.19, p < .001.001
In addition, it may help to analyse co-morbidity and model drug interaction across problem areas.
The subjects were asked how confident they were in the ability to treat obesity across problem situations.
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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