However, the vector potential cannot be defined globally precisely because the divergence of the magnetic field is proportional to the delta function at the origin.

Together, consumer spending, globally defined, contributed only 1.3 percentage points in the first quarter, and is in danger of falling in the second.

In formal terms, a differentiable manifold is a topological manifold with a globally defined differential structure.

These transition functions preserve a time-like component of local frame fields which, therefore, is globally defined.

This is because two mutually accelerating observers may not be able to find a globally defined coordinate transformation relating their coordinate choices.

Alternatively, the existence of a global anomaly implies that the measure of Feynman's functional integral cannot be defined globally.

However, there are global solutions of the equation which may lack a globally defined potential.

The question is whether this complex structure can be defined globally.

If ξ is co-orientable then α is defined globally.

The above pure spinor is globally defined, and so the canonical bundle is trivial.