Mathematical English Usage - a Dictionary

by Jerzy Trzeciak

note

[see also: notice, observe, see, remark]

Note that (3) is merely an abbreviation for the statement that ......

Perhaps it is appropriate at this point to note that a representing measure is countably additive if and only if ......

Part (b) follows from (a) on noting that $A=B$ under the conditions stated.

Before going to the proof, it is worth noting that ......

......, as noted $\langle$as was noted$\rangle$ in Section 2. [Not: “as it was noted”]

As noted before, there exists $N$ homeomorphic to $P$ such that ......

It should be noted that ......

With the exception noted below, we follow Stanley's presentation [3, Sec. 2].



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