"I don't see how you can arbitrarily take any one of those three components off the table," he said.
At times, Brodovitch would arbitrarily take a series of photographs and adopt a story line to go with them, as though recapping a movie.
Messages are sent asynchronously and may take arbitrarily long to deliver.
"They can't just arbitrarily take his miles away from him," he added.
The procedure is required to halt after finitely many steps in order to produce an output, but it may take arbitrarily many steps before halting.
This is not an action that we take lightly or arbitrarily.
I can't arbitrarily take it back now, can I?
It was conjectured by Erdős and Szemerédi that one can take arbitrarily close to 1.
The best result in this direction currently is by Solymosi, who showed that one can take arbitrarily close to 1/3.
So, we will arbitrarily take any solution in the phase.