Pole
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In comlpex analysis, a pole is a singularity of a complex function.
Pole is a college-level concept that would be first encountered in a complex analysis course.
Prerequisites
| Analytic Function: | An analytic function is a complex function that is complex differentiable at every point in a region. |
| Complex Number: | A complex number is a number consisting of a real part and an imaginary part. A complex number is an element of the complex plane. |
| Complex Plane: | The complex plane is a term for the set of all complex numbers. Just as all real numbers can be imagined as lying on a line, all complex numbers can be thought of as points in a plane. |
| Singularity: | In mathematics, a singularity is a point at which an equation, surface, etc., blows up or becomes degenerate. Singularities are often also called singular points. |