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Removable Singularity

A Singular Point $z_0$ of a Function $f(z)$ for which it is possible to assign a Complex Number in such a way that $f(z)$ becomes Analytic. A more precise way of defining a removable singularity is as a Singularity $z_0$ of a function $f(z)$ about which the function $f(z)$ is bounded. For example, the point $x_0=0$ is a removable singularity in the Sinc Function $\mathop{\rm sinc}\nolimits x=\sin x/x$, since this function satisfies $\mathop{\rm sinc}\nolimits 0=1$.

© 1996-9 Eric W. Weisstein