#### Mathematical English Usage - a Dictionary

##### by Jerzy Trzeciak

## know

[*see also*: realize, recognize, grasp, aware

We do not know whether or not Q(R)=R in this situation.

The map f, which we know to be bounded, is also right-continuous.

Knowing this matrix is equivalent to knowing the multiplicities of the
k_{i}.

However, we know of no way of deriving one theory directly from the
other.

All the Cox maps F are known to have L(F) finite.
The best known of these is the Knaster continuum.

The answer is not known to us.

Many of them were already known to Gauss.

It has long been known that......

The conjecture (now known not to be true in general) was that......

So far it seems not to be known whether the geometric condition
on X can be omitted.

In particular, there is a summary of what is known about polarized pairs with small genus.

The importance of these examples lay not only in lowering the
dimension of known counterexamples, but also in...... [Note that the
past tense of * lie* is * lay*, not “lied''.]

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