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http://mathworld.wolfram.com/CompactSupport.html
Jan 02, 2020 · A function has compact support if it is zero outside of a compact set. Alternatively, one can say that a function has compact support if its support is a compact set. For example, the function f:x->x^2 in its entire domain (i.e., f:R->R^+) does not have compact support, while any bump function does have compact support.
https://en.wikipedia.org/wiki/Support_(mathematics)
Functions with compact support on a topological space are those whose closed support is a compact subset of . If X {\displaystyle X} is the real line, or n {\displaystyle n} -dimensional Euclidean space, then a function has compact support if and only if it has bounded support , since a subset of R n {\displaystyle \mathbb {R} ^{n}} is compact ...
https://www.encyclopediaofmath.org/index.php/Function_of_compact_support
The support of is the closure of the set of points for which is different from zero . Thus one can also say that a function of compact support in is a function defined on such that its support is a closed bounded set located at a distance from the boundary of by a number greater than , where is sufficiently small.
https://math.stackexchange.com/questions/284045/example-of-a-function-with-compact-support
example of a function with compact support. Ask Question Asked 6 years, 11 months ago. ... Why do functions with compact support include those that vanish at infinity? 1. definition of compact support. 1. ... Looking for a certain function with compact support. 3.
https://math.stackexchange.com/questions/787719/why-compact-support-implies-a-function-vanished-at-boundaries
I was horribly confused by your answer, until I re-read the question and saw that it says "if a function has compact support is vanishes on the boundary of it's domain". Somehow I had read "... boundary of it's support " there :-(.
https://en.wikipedia.org/wiki/Support_function
The support function of a compact convex set is real valued and continuous, but if the set is unbounded, its support function is extended real valued (it takes the value ∞). As any nonempty closed convex set is the intersection of its supporting half spaces, the function h A determines A uniquely. This can be used to describe certain ...
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