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# singular point

noun, Mathematics
1.
a point at which a given function of a complex variable has no derivative but of which every neighborhood contains points at which the function has derivatives.
Also called singularity.
Origin
1885-1890
1885-90
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2015.
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Encyclopedia Article for sin-gular point

## singular point

of a function of the complex variable z is a point at which it is not analytic (that is, the function cannot be expressed as an infinite series in powers of z) although, at points arbitrarily close to the singularity, the function may be analytic, in which case it is called an isolated singularity. In general, because a function behaves in an anomalous manner at singular points, singularities must be treated separately when analyzing the function, or mathematical model, in which they appear.

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Encyclopedia Britannica, 2008. Encyclopedia Britannica Online.
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