In complex analysis, an essential singularity of a function is a "severe" singularity near which the function exhibits extreme behavior.
The category essential singularity is a "left-over" or default group of singularities that are especially unmanageable: by definition they fit into neither of the other two categories of singularity that may be dealt with in some manner – removable singularities and poles.
Read more about Essential Singularity: Formal Description, Alternate Descriptions
Famous quotes containing the words essential and/or singularity:
“Let us have a good many maples and hickories and scarlet oaks, then, I say. Blaze away! Shall that dirty roll of bunting in the gun-house be all the colors a village can display? A village is not complete, unless it have these trees to mark the season in it. They are important, like the town clock. A village that has them not will not be found to work well. It has a screw loose, an essential part is wanting.”
—Henry David Thoreau (1817–1862)
“Losing faith in your own singularity is the start of wisdom, I suppose; also the first announcement of death.”
—Peter Conrad (b. 1948)