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Formula:122

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Digital Library of Mathematical Functions ID 1.5.E28

f * ⁢ ( x , y ) = { f ⁢ ( x , y ) , if  ( x , y ) ∈ D , 0 , if  ( x , y ) ∈ R ∖ D . superscript 𝑓 𝑥 𝑦 cases 𝑓 𝑥 𝑦 if  ( x , y ) ∈ D 0 if  ( x , y ) ∈ R ∖ D . {\displaystyle{\displaystyle f^{*}(x,y)=\begin{cases}f(x,y),&\mbox{if $(x,y)% \in D$},\\ 0,&\mbox{if $(x,y)\in R\setminus D$.}\end{cases}}}


Constraint(s)

Symbols List

  • ∈ {\displaystyle{\displaystyle\in}} :
  • ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}} :
  • ∖ {\displaystyle{\displaystyle\setminus}} :
  • R 𝑅 {\displaystyle{\displaystyle R}} : closed rectangle
  • D 𝐷 {\displaystyle{\displaystyle D}} : region contained in R
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This page was last edited on 3 March 2024, at 01:29.
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