Question on orthogonal function with respect to weight.

yungman
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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?

\intF(x)G(x)W(x)dx=0 do not mean \intF(x)G(x)dx=0

If \intF(x)G(x)dx=0 then W(x)=1

Thanks

Alan
 
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Yes, correct on both items.
 
Thanks.
Alan
 
Thread 'Direction Fields and Isoclines'

Thread 'Direction Fields and Isoclines'

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