"generalize it to" is correct and can be used in written English.
You could use it when you want to explain how an idea or concept can be applied to a wider range of situations. For example, you could say: "We discovered that the process works well in this specific situation; let's generalize it to other scenarios as well."
In this paper we generalize it to deal with general covariance by allowing field and method parameter types to change covariantly in matching types.
We analyze and clarify its algebraic and analytic properties, and we generalize it to non-selfadjoint partition operators χ and ¯¯¯χ.
Why is it that the news media have to take one, albeit tragic, event and generalize it to an entire sport (The Way We Live Now, Jan . 20?
Because her study was limited to newly infected patients, Dr. Little cautioned that she could not generalize it to other newly diagnosed cases in which the patient may have been infected for years.
"It's tempting to take a city experiencing a real problem like Chicago and generalize it to the nation as a whole to scare people, but that's not very fair".
It also underlies Peter Singer's theory of the Expanding Circle — the optimistic proposal that our moral sense, though shaped by evolution to overvalue self, kin and clan, can propel us on a path of moral progress, as our reasoning forces us to generalize it to larger and larger circles of sentient beings.
This paper presents an active control method for Synchronizing two uncertain chaotic systems with parameters perturbation and generalizes it to general uncertain chaotic systems.
Musielak and Orlicz [2] in 1959 redefined and generalized it to obtain a generalization of the classical function spaces L p. Khamsi et al. [3] investigated the fixed point results in modular function spaces.
It provides a face-saving way to improve the bill by generalizing it to any country that tortures its opponents -- forcing Russia to be the bad actor if they retaliate against its passage.
My mentor's advice was: 'If you want to get ahead and be known for your science, focus just on the science, and the politics will eventually go away.' This advice has also stood me well in various positions in industry since then, and I have since generalized it to: Focus on what is the main objective of your job.
