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:
“It is the business of thought to define things, to find the boundaries; thought, indeed, is a ceaseless process of definition. It is the business of Art to give things shape. Anyone who takes no delight in the firm outline of an object, or in its essential character, has no artistic sense.... He cannot even be nourished by Art. Like Ephraim, he feeds upon the East wind, which has no boundaries.”
—Vance Palmer (1885–1959)
“Losing faith in your own singularity is the start of wisdom, I suppose; also the first announcement of death.”
—Peter Conrad (b. 1948)