[see also: apply, true, valid, force
All our estimates hold without this restriction.
The desired inequality holds trivially whenever A>0.
In this section we investigate under what conditions the converse holds.
An obvious question to ask is whether the assertion of Theorem 1 continues to hold for......
Equality holds <occurs> in (9) if......
This attempt is doomed because the homogeneity condition fails to hold. [= The attempt is certain to fail]
The first author holds a Rockefeller Foundation fellowship.
He held the Courant Chair at New York University for three years before his retiring.
In the year 2000 <In 2000>, two important number theory conferences were held at Princeton University.