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The phrase "a function of instruction" is correct and usable in written English.
It can be used in contexts discussing the role or purpose of instruction in a particular process or system.
Example: "The effectiveness of the training program is largely a function of instruction quality provided to the participants."
Alternatives: "an aspect of teaching" or "a role of guidance".
Exact(2)
The present research examined college students' understanding of two critical core tree-thinking concepts most recent common ancestry and nested clades as a function of instruction in biology generally and in phylogenetics specifically, the latter in an evolution course.
Our subscale of "inappropriate thinking biases" did not show any change as a function of instruction, and scores were roughly at chance in both the pretest and the posttest.
Similar(58)
In order to quantify the degree to which the target is perceived as a function of cue instruction, the following analysis was carried out.
Mean reaction times and mean detection rates were then calculated for each subject and analyzed as a function of cue instruction, target validity and CTOAs using multi-way ANOVAs with repeated measures.
Human skills are likewise essential when implementing and optimising campaigns, because in practice, all data-driven marketing is a function of human instructions.
The varying turn strategy may be a function of limited instructions provided to the child, or ongoing development in the children's COM control.
(D and E ) Superimposed rasters of CS responses and graphs of the probability of CS responses as a function of time from instruction onset for instructions in the off-direction (D ) and on-direction (E ) for simple-spike responses.
This opposite pattern of behavioural performance (i.e., slower reaction times for decoding repeated intentions) is in line with previous work demonstrating that behavioural attenuation effects (rather than priming effects) may occur as a function of the task instruction [34].
And depending on how much personal selling is used either directly or through the distribution channels, audience is a function of the "call instructions" given to the sales force.
The total execution time is a function of data block size, Cycles per Instructions (CPI), Path Length (PL), core frequency, processor efficiency, and number of cores: T o t a l E x e c u t i o n t i m e = ( D a t a S i z e × C P I × P L × E f f i c i e n c y ) / C o r e F r e q u e n c y / # o f c o r e s (2).
We specifically examine this relationship as a function of whether people receive intentional or incidental instructions to learn the spatial properties.
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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