## Mathematical English Usage - a Dictionary

## what

Under those conditions, what does the sum on the left hand side of (8) signify?

Does the limit of $f(z)$ exist as $z$ goes to zero? If so, what is it?

What is $F(c)$ if $c$ is a positively oriented circle?

What relation exists between $f$ and $g$?

What about the case where $q > 2$?

By what has been proved, there exists $n$ such that ......

What is left is to show that ......

What is still lacking is an explicit description of ker$ C$.

The sequence $a_n$ is what is sometimes called a recovery sequence for $v$.

Here is a more explicit statement of what the theorem asserts.

The sum of the depths is at most two-thirds of what it was before.

Throughout what follows, we shall freely use without explicit mention the elementary fact that ......

It is not immediately obvious what this generalization has to be.

We conclude that, no matter what the class of $b$ is, we have an upper bound on $M$.

But if $E$ is not reflexive or—what is the same—$w$ is weak, then ......

Here $G$ is discontinuous and, what is more, it does not belong to $V$.

[Note the difference between * what* and * which* in sentences similar to the last two examples: * what* refers to what follows it, while * which* refers to what precedes it.]

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