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:
“In order for an individual to partake of the world and contribute to it in a healthy way, he first needs to view that world as a basically kind, friendly, and supportive place. Such an outlook begins to be formed during infancy. It’s essential that the baby establish a fundamental trust in his environment. The infant needs to learn that the world is a nurturing place where his needs will be met.”
—Saf Lerman (20th century)
“Losing faith in your own singularity is the start of wisdom, I suppose; also the first announcement of death.”
—Peter Conrad (b. 1948)