Scott was able to make transwarp beaming available on Enterprise as soon as he and Kirk made it over from Delta Vega. He either had it in his head or he took a data card with him when he beamed over.Realistically, it shouldn't even be something that Scotty has memorized in his head and can easily make work on the fly.
He should have notebooks or padds full of formulae, notes, schematics, etc. But ST09 showed that he was able to make it happen just by plugging a formula from future-Spock into a regular transporter console.
Kor
What about Season 3 don't you like, Kytee? Myself, I find Enterprise's third year to be very satisfying ...
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