Assertion: distribution's support | /r/HasProperty | \displaystyle d_{f
Facets:
Source sentences:
text: If f is a locally integrable function on U and if D f {\displaystyle D_{f}} is its associated distribution, then the support of D f {\displaystyle D_{f}} is the smallest closed subset of U in the complement of which f is almost everywhere equal to 0.
text: If f is continuous, then the support of D f {\displaystyle D_{f}} is equal to the closure of the set of points in U at which f doesn't vanish.