I'm speaking about a particular quantity, let us call it the number of gizmos, which depends on the number of thingums, doodahs, and hickeys. Mathematically, we have a function g which is represented by an expression with variables t, d, and h.
Now, I want to roughly say that aʰ ≤ g(t,d,h) ≤ bʰ, where a and b are some expressions exceeding 1 and depending on t and d, but not on h.
Intentionally simplifying, I wrote:
The number of gizmos is exponential in the number of hickeys.
In this style, I used to write for over a decade. But my English teacher corrected the sentence to
The number of gizmos grows exponentially in terms of the number of hickeys.
I can live with "grows" but find "terms of" strange. Which version is right? If both, which style is preferred in math papers?
I welcome answers from mathematicians who are native AmE speakers and have an excellent command of English.