Mathematical English Usage - a Glossary

by Jerzy Trzeciak

present

1
Note that any euclidean space satisfies the present hypothesis.

The present paper owes a great debt to Strang's work.

Inserting additional edges destroys no edges that were already present.

In the function field case the poles at s=0 and 1 are still present.  

2
 [see also: set out, represent] Pointwise convergence presents a more delicate problem.

The analogue of Theorem 1 presents no difficulty.

Proposition 2 presents examples of......

To round out the picture presented by Theorem 5, we mention the following consequence of......

Since most of the results presented are quite classical (the novelty lies in the arrangement, and some of the proofs are new), I have not attempted to document the source of every item.


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