#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## hold

[*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.

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