singular point

singular point

noun Mathematics.
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:
1885–90
Dictionary.com Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2012.
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Singular point is always a great word to know.
So is cube. Does it mean:
the third power of a quantity such as a cubed = a?a?a
a system of numerical notation to the base 2, in which each place of a number, expressed as 0 or 1, corresponds to a power of 2
Encyclopedia Britannica
Encyclopedia

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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