[of sth over sth; of doing sth; see also: merit, benefit]
One major advantage of ...... is that ......
The advantage of using ...... lies in the fact that ......
This solution has the additional advantage of being easily computable.
This approach fails to take advantage of the Gelfand topology on the character space.
We take advantage of this fact on several occasions, by not actually specifying the topology under consideration.
On the other hand, as yet, we have not taken advantage of the basic property enjoyed by $S$: it is a simplex.
a considerable $\langle$decisive/definite/obvious/main/significant$\rangle$ advantage
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