Mathematical English Usage - a Glossary

by Jerzy Trzeciak

assume

[see also: suppose]

Here F is assumed to be open.

......, the limit being assumed to exist for every real x.

The assumed positivity of un is essential for these results.

We can assume, by decreasing n if necessary, that......

We may (and do) assume that......

We tacitly assume that......

It is assumed that......

We follow Kato [3] in assuming f to be upper semicontinuous.

The reader is assumed to be familiar with elementary K-theory.

Then X assumes values 0,1,...,9, each with probability 1/10.


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