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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://encyclopedia2.thefreedictionary.com/compact+support
foreign policy interests, limiting the size of compacts, supporting alternate methods of compact support such as cash transfers, establishing new or changed qualifying factors, strengthening democracy language in the qualifying factors and the role of civil society in compact development and implementation, reinforcing the anticorruption ...
https://www.encyclopediaofmath.org/index.php/Function_of_compact_support
Function of compact support. A function defined in some domain of , having compact support belonging to this domain. More precisely, suppose that the function is defined on a domain . The support of is the closure of the set of points for which is different from zero .
https://ncatlab.org/nlab/show/compact+support
A function f:X→Vf\colon X \to V on a topological space with values in a vector space VV (or really any pointed set with the basepoint called 00) has compact support (or is compactly supported) if the closure of its support, the set of points where it is non-zero, is a compact subset.
https://www.physicsforums.com/threads/compact-support-of-a-function.470986/
Feb 08, 2011 · Hello, given a function f:R->R, can anyone explain what is meant when we say that "f has compact support"? Some sources seem to suggest that it means that f is non-zero only on a closed subset of R. Other sources say that f vanishes at infinity. This definition seem to contradict the previous: for example the Gaussian is never 0 but does vanish at infinity.
https://math.stackexchange.com/questions/787719/why-compact-support-implies-a-function-vanished-at-boundaries
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https://en.wikipedia.org/wiki/Cohomology_with_compact_support
Despite their definition as the homology of an ascending complex, the de Rham groups with compact support demonstrate covariant behavior; for example, given the inclusion mapping j for an open set U of X, extension of forms on U to X (by defining them to be 0 on X–U) is a map ∗: ∙ → ∙ inducing a map
https://biologydictionary.net/compact-bone/
The compact bone is the main structure in the body for support, protection, and movement. Due to the strong nature of compact bone, compared to spongy bone, it is the preferred tissue for strength. Spongy bone is used for more active functions of the bones, including blood cell production and ion exchange.
https://www.planetmath.org/SmoothFunctionsWithCompactSupport
Definition Let U be an open set in ℝ n. Then the set of smooth functions with compact support (in U ) is the set of functions f : ℝ n → ℂ which are smooth (i.e., ∂ α f : ℝ n → ℂ is a continuous function for all multi-indices α ) and supp f is compact and contained in U .
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