Mathematical English Usage - a Dictionary

by Jerzy Trzeciak


[see also: need, entail

For general rings, Out(R) is not necessarily well-behaved.

Clearly, F is bounded but it is not necessarily so after division by G.

......where P(d) denotes the space of (not necessarily monic) polynomial functions of degree  d.

Necessarily, one of X and Y is in Z.

His proof is unnecessarily complicated.

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