The phrase "quite generally" is correct and usable in written English.
It is typically used to indicate that something applies to a large or widespread group or situation. Example: Quite generally, people tend to enjoy music from their own culture more than music from other cultures.
In this work, restricted to linear FE systems and Gaussian excitation, the loading is described quite generally by the Karhunen Loève expansion, which allows to model general types of non-stationarities with respect to intensity and frequency content.
The same lesson seems to apply quite generally across the world.
It is now quite generally agreed that if President Johnson seeks reelection next year, he may be denied it.
In many resort areas, slacks are frowned upon — more in the East than in the West, where they're quite generally accepted.
His models are of the period 1750-1850, and he's quite generally accepted as the foremost ship-modeller of this day.
"I think, quite generally amongst my peers, nudes aren't very common and it's more like when you're in a relationship," says 16-year-old Ellie from Canberra.
The amount of genetic change during geographic speciation varies between organisms, but the two main observations made in the D. willistoni group seem to apply quite generally.
Quite generally, questions regarding the meanings of words or symbols are answered most illuminatingly by stating the syntactical and the semantical rules according to which they are used.
"When people are motivated to reason, they do a better job at accepting only sound arguments, which is quite generally to their advantage".
Importantly, Bertrand's paradox applies quite generally.
The control algorithm is presented quite generally.
