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Support


The support of a function f is the set closure of the set of its arguments for which f is not zero.

For a Radon measure mu on R^d, the support is the closed set of points x for which every open ball B(x,r) with r>0 has positive measure. The measure is concentrated on this set.


See also

Radon Measure, Set Closure

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References

Santambrogio, F. Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling. Basel: Birkhäuser, 2015. https://math.univ-lyon1.fr/~santambrogio/OTAM-cvgmt.pdf.

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Support

Cite this as:

Weisstein, Eric W. "Support." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Support.html

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