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Introduction The Helmholtz Decomposition Theorem, or the fundamental theorem of vector calculus, states that any well-behaved vector field can be decomposed into the sum of a longitudinal (diverging, non-curling, irrotational) vector field and a transverse (solenoidal, curling, rotational, non-diverging) vector field.
Given that the harmonic series corresponds to s = 1 in the preceding example, we might be led to believe that it is in some sense the slowest diverging series.
Plate Boundaries 2o17 Convergent, Divergent, Transform Directions Part I :
International Conference on SOCIETIES AND SPACES IN CONTACT: