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Isolated singularity

In complex analysis, a branch of mathematics, an isolated singularity is one that has no other singularities close to it. In other words, a complex number ⁠ z 0 {\displaystyle z_{0}} ⁠ is an isolated singularity of a function ⁠ f {\displaystyle f} ⁠ if there exists an open disk ⁠ D {\displaystyle D} ⁠ centered at ⁠ z 0 {\displaystyle z_{0}} ⁠ such that f…

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Nonisolated singularities

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Isolated singularity

Nodes28
Edges27
Triples3
Avg. degree1.93
Density0.071429
Components1

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Isolated singularity

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related to Examples · 1
Isolated singularity → The

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isolated singularities function displaystyle singularity complex open mathbb holomorphic every analysis poles textstyle right smallsetminus disk frac left laurent series

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SubjectPredicateObjectConfidenceSrc
Laurent seriesinstance ofMany important tools of complex analysis0.80text
the residue theorem require that all relevant singularities of the function be isolatedinstance ofMany important tools of complex analysis0.80text
Isolated singularityrelated to ExamplesThe0.60section

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