The phrase "a usual set of" is correct and usable in written English.
It can be used when referring to a standard or typical collection of items, practices, or procedures in a specific context.
Example: "In our meetings, we often discuss a usual set of topics that include project updates, budget reviews, and team performance."
Alternatives: "a standard collection of" or "a typical group of".
Thus any x satisfying this formula is a set, whence the extension of the formula is a set (clearly the usual set of von Neumann natural numbers).
Thus given a set X, ℘(X) is the usual set of subsets of X, and given a function f : X → Y, ℘(f) : ℘(X) → ℘(Y) takes a subset A of X and maps it to B = f(A), the image of f restricted to A in X.
The usual set of public rituals around a disaster — the media's witnessing, the politicians' visiting, the fumbling for a language to talk about what had happened — was not working.
The usual set of three buttons on an Android phone — Back, Home and Menu — are down to two; HTC has eliminated the Menu button.
In the Mamdani fuzzy model, the "if then" rules take the place of the usual set of equations used to characterize a system.
Rather than containing the usual set of varied but short stories about a single protagonist, this book revolves around building up a plot, which spreads over several months in which the characters develop, their feelings are evaluated and what not.
We have detected such strains in more than 30 E. coli O serogroups, and a large proportion of strains do not agglutinate in the usual set of E. coli O antisera.
As an experienced Android user I was fine, just downloading my usual set of apps and syncing up with Google.
You can connect your old VCR or camcorder to the DVDirect using either an S-video cable (for best color) or using the usual set of three RCA cables (red, white and yellow).
It also runs into the usual set of issues with attempting to recognize speech in a noisy environment, but it's an impressive trick, nonetheless.
