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| Tags: components, conservative, divergencefree, field, vector |
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On Sun, 2 Nov 2003 08:31:03 -0500, Lacustral wrote:
if you have a vector field in R^n, can you express it as the sum of two vector fields, one of which has divergence 0 and one which is conservative, i.e. it's the gradient of a scalar function? thanks Laura See Helmhotzs Theorem http://mathworld.wolfram.com/HelmholtzsTheorem.html Of course, the derivatives have to exist in the first place... -- student |
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