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The phrase "student established that" is correct and usable in written English.
It can be used in academic or research contexts to indicate that a student has demonstrated or proven a particular point or finding. Example: "In her thesis, the student established that regular exercise significantly improves mental health."
Exact(1)
The first item reported whether the student established that acetaminophen was administered.
Similar(59)
In a study, Young (1991) has established that students' anxiety level is high if the test involves content that has not been taught in class.
Once the students establish that an electrical charge is responsible for the balloons sticking to the wall, ask them how this charge could be explained on a molecular level.
Their findings established that concept mapping enhances students' self-regulation.
The study also establishes that male polytechnic students are more likely to graduate as entrepreneurs than female polytechnic students.
Naomi Lancaster, a graduate student at Ball State University, established that Enroners didn't generally open with "Dear," as most etiquette guides suggest, and favored "Hey," "Hi," or "Hello," leading Lancaster to believe that the etiquette proxy for e-mail wasn't written letters but speech.
Student responses in the pilot interviews established that students who consistently used MRCA to interpret the relationships on evolutionary trees consistently answered the questions correctly (Fig. 8) and students that did not use MRCA to interpret relationships did not consistently answer questions correctly (Figs. 5, 6, 7).
Using a sample of eighty students, it was established that the factors most predictive of RDA performance were secondary school performance (p < 0.0001) and age (p = 0.0106).
A majority of students (69%;234/340) established that acetaminophen was being administered to the child while about half asked about the dose of acetaminophen (47%;161/340).
Miller studied theology at Göttingen where, in 1772, he and other students established the Göttinger Hainbund, a group that met to discuss their poems and to further the ideals of friendship, virtue, freedom, love of fatherland, and an interest in Germanic history.
The behavioral path ES → MC indicated that when students established task demands and set goals, they tended to monitor and control the learning process.
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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