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:
“I perceived that to express those impressions, to write that essential book, which is the only true one, a great writer does not, in the current meaning of the word, invent it, but, since it exists already in each one of us, interprets it. The duty and the task of a writer are those of an interpreter.”
—Marcel Proust (1871–1922)
“Losing faith in your own singularity is the start of wisdom, I suppose; also the first announcement of death.”
—Peter Conrad (b. 1948)