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Bilinear Basis

A bilinear basis is a Basis, which satisfies the conditions

\begin{displaymath}
(a{\bf x}+b{\bf y})\cdot {\bf z} = a({\bf x}\cdot{\bf z})+b({\bf y}\cdot{\bf z})
\end{displaymath}


\begin{displaymath}
{\bf z}\cdot (a{\bf x}+b{\bf y}) = a({\bf z}\cdot{\bf x})+b({\bf z}\cdot{\bf y}).
\end{displaymath}

See also Basis




© 1996-9 Eric W. Weisstein
1999-05-26