"extend interpretation" is a correct and usable phrase in written English
You can use it when you want to suggest that something should be interpreted in a more expansive or broader way. For example: "We should extend our interpretation of the text to include its implications for today's society."
As applied in the Grimm case, this precedent allows the Department of Education to push its "Title IX interpretation on every school district in the Nation and, indeed, to extend that interpretation beyond restrooms to locker rooms, showers, single-sex classes, housing, and overnight accommodations," the board's lawyers wrote. .
The case has "assumed nationwide importance," they say, now that the administration "seeks to impose its Title IX interpretation on every school district in the nation, and indeed, to extend that interpretation beyond restrooms to locker rooms, showers, single-sex classes, housing and overnight accommodations".
The decisions indicate the stand of the industrial unions against their employers in the current strike wave, and appear to broaden the Federal government's power to extend the interpretation of what constitutes interstate powers.
However, $I^\ast$ will generally have to extend the interpretation of a functional symbol, $f^n_i$, by $I$, in one way or another.
At higher defocus the low frequency behavior is equal to that close to Scherzer defocus, but CTF-correction becomes necessary to extend image interpretation to higher resolution.
But when Bohr rather soon thereafter began analysing the double slit experiment in his discussion with Einstein (1930), he had to extend his interpretation to cover the electron in interaction with the measuring apparatus.
He'll get electrocuted and go ZAP! 'Here the children had to extend their interpretation of Alex's story and also use the logical reasoning and predicting language functions when asked what they thought would happen to the snake.
Specifically, the ability to successfully (according to their own and others' criteria) do a job, including the ability to identify, exploit, and, if possible, extend the interpretation, action and evaluation opportunities that the job is offering (p. 21).
We extend the interpretation to fluvial and lacustrine activity to the west of the central mound, as recorded by a series of interconnected canyons, channels and a possible lake basin.
We believe that ours is the first large scale observational study of oral sex in non-humans, and we extend the interpretation of such behaviour beyond that of 'pleasure giving' into an evolutionary context.
