#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## there

Theorem 2, at the end of Section 2, was not originally obtained in the
manner indicated there.

That approach was used earlier in [2]. There, however,
it was applied in simply connected regions only.

This shows that there is r≥ 0 such that...... [*Or*: there is an r≥ 0]

Now, there are a and b such that......

There exists a function f and a constant c such that...... [*Or*:
There exist a function f and a constant c]

However, there are a large number of examples showing that...... [*Not*: “There
is a large number'']

If p=0 then there are an additional m arcs. [Note the article
* an.*]

How many such expressions are there?

How many entries are there in this section?

In general, we have a≤ b; there is equality if......

There has recently been increasing interest in the theory of......

There is not space to enumerate them all here.

From the viewpoint of the Fox theorem, there is not an exact parallel
between the odds and the evens.

For general linear operators, there is not such an extensive functional calculus
as there is for self-adjoint operators.

Hence there can be no condition on the norms which guarantees (7).

In representation theory, there can never be a B-map whose domain
is finite-dimensional.

There cannot be two edges between one pair of vertices.

With each D there is associated a region V_{D}.

There remain four intervals of length 1/4 each.

There remains one further case to consider. [* But*: It remains to consider one further case.]

In [6] there occur the following formulas.

There seems to be no simple formula for ......

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