[sth; sth to be sth; sb to do sth; see also: enable, permit, possible
These theorems allow one to guess the Plancherel formula. [Or: allow us to guess; not: “allow to guess”]
As the space of Example 3 shows, complete regularity of X is not enough to allow us to do that.
This allows proving the representation formula without having to integrate over X.
This easily allows the cases c=1,2,4 to be solved.
By allowing f to have both positive and negative forms, we obtain......
It is therefore natural to allow (5) to fail when x is not a continuity point of F.
The limit always exists (we allow it to take the value ∞).
Lebesgue discovered that a satisfactory theory of integration results if the sets Ei are allowed to belong to a larger class of subsets of the line.
In [3] we only allowed weight functions that were C1.
Here we allow a=0.
We deliberately allow that a given B may reappear in many different branches of the tree.