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Regular Sequence

Let there be two Particularly Well-Behaved Functions $F(x)$ and $p_\tau(x)$. If the limit

\begin{displaymath}
\lim_{\tau\to 0}\int_{-\infty}^\infty p_{\tau}(x)F(x)\,dx
\end{displaymath}

exists, then $p_\tau(x)$ is a regular sequence of Particularly Well-Behaved Functions.




© 1996-9 Eric W. Weisstein
1999-05-25