#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## in

We put b in R unless a is already in.

This equation has a solution in integers provided that N>7.

Expand f in powers of x.

It is this point of view which is close to that used in C^{*}-algebras.

These intervals are disjoint from all those used in defining
J_{1}.

Each A_{i} meets A in a finite set. [= A_{i}∩ A is finite]

Then one Y_{i} can intersect another only in one point.

Values computed for the right side of (2) were rounded up in the
fourth decimal place.

Then F varies smoothly in t.

Thus F_{n}(x,y) converges to F(x,y) uniformly in x.

Clearly, A_{j} is increasing in j.

The word ends in a.

in diagonal form

in geometric language

In less precise language, the requirement is that the two angles are the same in
size and in orientation.

Then P is the product of several integer factors of about x^{n} in size.

The set A is roughly triangular in shape.

The proof proper [= The actual proof] will consist of establishing
the following statements in sequence.

convergence in probability <in distribution>

Less than 1 in p of its points will result in a quartic with ideal
class number p.

Theorem 3 is remarkable in that considerably fewer conditions than
in the previous theorems ensure universality.

As M is ordered, we have no difficulty in assigning a meaning to (a,b).

The prime 2 is anomalous in this respect, in that the only edge from
2 passes through 3.

This is where the notion of an upper gradient comes in.

Back to main page