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Bump function

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In mathematical analysis, a bump function (also called a test function) is a function

Bump function - Wikipedia Jump to content From Wikipedia, the free encyclopedia Smooth and compactly supported function The graph of the bump function ( x , y ) ∈ R 2 ↦ Ψ ( r ) , {\displaystyle (x,y)\in \mathbb {R} ^{2}\mapsto \Psi (r),} where r = ( x 2 + y 2 ) 1 / 2 {\displaystyle r=\left(x^{2}+y^{2}\right)^{1/2}} and Ψ ( r ) = e − 1 / ( 1 − r 2 ) ⋅ 1 { | r | < 1 } . {\displaystyle \Psi (r)=e^{-1/(1-r^{2})}\cdot \mathbf {1} _{\{|r|<1\}}.} In mathematical analysis , a bump function is a localized auxiliary function , usually chosen to be smooth

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Bump function

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