A metric space is called complete if all Cauchy sequences converge.

In the 2-adic numbers, such sequences actually converge to zero.

That is, does the sequence converge to in norm?

Otherwise, if 0 is not an interior point, the sequence converges to .

Topologies are often best understood by describing how sequences converge.

Every sequence in S converges to the point 0.

But, of course, a sequence of numbers greater than or equal to cannot converge to 0.

Then the sequence converges to the solution of the original problem.

The sequence of estimates will ideally converge to the best .

The conjecture makes no statement about whether this sequence of values will converge; it typically does not, in fact.