  We address the question of why global gauge fixing, specifically to the
lattice Landau gauge, becomes an extremely lengthy process for large lattices.
We construct an artificial "gauge-fixing" problem which has the essential
features encountered in actuality. In the limit in which the size of the system
to be gauge fixed becomes infinite, the problem becomes equivalent to finding a
series expansion in functions which are related to the Jacobi polynomials. The
series converges slowly, as expected. It also converges non-uniformly, which is
an observed characteristic of gauge fixing. In the limiting example, the
non-uniformity arises through the Gibbs phenomenon.
