To establish duality only requires establishing theorems which are the dual versions of the axioms for the dimension in question.

It would require establishing silicon mining and solar cell manufacturing facilities on the Moon.

For the second time in four months, the Senate today blocked a bill to require establishing a national defense against long-range missiles as soon as the technology was available.

Antimissile Defense: Vote to cut off debate and proceed to vote on a bill to require establishing a national defense against long-range missiles as soon as possible.

For example, the rules of evidence in criminal courts often require establishing the chain of custody of evidence presented.

This requires establishing a supplier base and purchasing materials.

Social login is a key technology of the social infrastructure since many of its services require establishing a valid identity before being used.

Establishing validity would require establishing both reliability and accuracy (i.e. that the ratings represent what they are supposed to represent).

Upgrading the charges would require establishing aggravating circumstances, in a crime that even veteran law enforcement officials found unusually brutal.

In other states, the very development and implementation of such initiatives may require overhauling or establishing new organizational relationships and service areas.