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The phrase "a somewhat higher level" is correct and usable in written English.
It can be used when discussing a degree or standard that is elevated compared to another.
Example: "The new curriculum aims to provide students with a somewhat higher level of understanding in mathematics."
Alternatives: "a slightly elevated level" or "a moderately higher standard."
Exact(25)
Still, claims have been relatively low in each of the last two weeks, on a seasonally adjusted basis, after three weeks at a somewhat higher level, ranging from 327,000 to 339,000.
The Defense Intelligence Agency has now come around to the C.I.A. view about past spending trends, but the two agencies continue to differ over the current rate of Soviet spending, with the Defense Intelligence Agency seeing a somewhat higher level.
AOdB The donors pledged basically to resume their aid at the old level or, in fact, at a somewhat higher level so the €3.2bn is being dispersed in the course of 2013/14/15 in the form of resumption of the old aid relations.
The litigation over where the line should be drawn in a particular class of cases would inject the same 'massive evidence and complicated theories' into treble-damages proceedings, albeit at a somewhat higher level of generality". Id., at 744-745, 97 S.Ct., at 2074.
On a somewhat higher level, AI notices patterns and identifies when things are wrong.
Norway's grade 9 pupils (NOR) have a somewhat higher level of TIMSS content implementation and a higher average achievement score, which hints at a positive link between TICS and achievement.
Similar(35)
The reproductive characteristics of this species suggests it is capable of withstanding a somewhat high level of exploitation, though not as much as the grey sharpnose shark (R. oligolinx) or Australian sharpnose shark (R. taylori).
Overall, the Cronbach alpha coefficient showed a somewhat high level of internal consistency for the 18-items French-PACIC questionnaire with a value close to 0.87.
In the GO integrated analysis (see Additional files) it is clear that the annotation for the protein dataset is richer than the other two datasets, hence the overlap takes place at a somewhat high level in the GO hierarchy.
At the same time, Henry stressed yesterday, "we cannot win this long war by ourselves". When a major crisis, such as a terrorist strike or outbreak of hostilities, occurs -- requiring a "surge" in forces -- the U.S. military will plan for "somewhat higher level of contributions from international allies and partners, as well as other Federal agencies," the review concludes.
The gap between the president's low approval and the somewhat higher level of support for some of his policies reflects the disconnect between how people see the president and how they view some of his priorities.
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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