[see also: give, furnish, provide, present, yield
By induction, this process produces a sequence (xn) such that......
This result shows that the mere existence of a nontrivial automorphism j of M produces the cut I(j) of M that satisfies (2).
To produce such an f, consider......
Roughly speaking, we shall produce a synthesis of index theory with Fourier analysis.
This metric produces the usual topology of X.