In particular, this unique function exists when 'R' is the field (mathematics) of real number or complex numbers.

It can be proved that such a function exists.

Piaget's understanding is that these two functions cannot exist without the other.

Many similar structures and basic functions exist between the two types of neuronal connections.

If a function satisfying (2) exists, then one can find it in polynomial time.

The interesting question is not whether such functions exist, for they are clearly implied in the phenomena we call behaviour.

Its failings are all too apparent, and often the world has changed so dramatically that the functions it was designed for no longer exist.

But without the owners, that function no longer exists.

But there is no reason, in general, to suppose that such a recursive function exists.

The government indictment suggests that such functions did not exist.