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:
“Smitten as we are with the vision of social righteousness, a God indifferent to everything but adulation, and full of partiality for his individual favorites, lacks an essential element of largeness.”
—William James (1842–1910)
“Losing faith in your own singularity is the start of wisdom, I suppose; also the first announcement of death.”
—Peter Conrad (b. 1948)