[see also: main, crucial, principal, major, significant]
It is important to notice some of the weaknesses inherent in the above approach.
Where it is important to distinguish different norms on $E$, we shall use the notation ......
We show that one can drop an important hypothesis of the saddle point theorem without affecting the result.
Important analytic differences appear when one writes down precisely what is meant by ......
It has some basic properties in common with another most important class of functions, namely, the continuous ones.
These extra stipulations are unimportant, but are given for definiteness.
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