## Mathematical English Usage - a Dictionary

## increase

#### 1

an increase of 5% $\langle$a 5% increase$\rangle$ in the cost of living

A small percentage reduction in the cost of materials resulted in a significant increase in profit.

a considerable $\langle$major/marked/ significant/substantial/modest/small/sharp/steady/sixfold/overall$\rangle$ increase

#### 2

[*see also*: enhance, grow, raise]

Obviously, $G_n$ increases to $G$ as $n\to\infty$.

Sales increased almost fourfold in this period.

The budget has increased by more than a third.

We adopt the convention that the first coordinate $i$ increases as one goes downwards, and the second coordinate $j$ increases as one goes from left to right.

The index increases by 1 when the path is crossed from right to left.

The numbers inserted in $L$ must increase strictly down each column.

Also, $F$ does not increase distances.

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

It becomes impracticable to compute the zeros of $F$ for degrees greater than 6; in any event, deciding whether the divisors found in this way represent irreducible curves becomes increasingly difficult.

Indeed, as $n$ increases, it becomes increasingly rare for a manifold to be a hyperplane section of another projective manifold.

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