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Question on orthogonal function with respect to weight.

  1. Nov 25, 2009 #1
    If F(x) and G(x) is orthogonal with respect to weight W(x), does this mean F(x) and G(x) are not necessary orthogonal by themselves?

    [tex]\int[/tex]F(x)G(x)W(x)dx=0 do not mean [tex]\int[/tex]F(x)G(x)dx=0

    If [tex]\int[/tex]F(x)G(x)dx=0 then W(x)=1

    Thanks

    Alan
     
  2. jcsd
  3. Nov 25, 2009 #2

    marcusl

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    Gold Member

    Yes, correct on both items.
     
  4. Nov 25, 2009 #3
    Thanks.
    Alan
     
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