Essential Range

In mathematics, particularly measure theory, the essential range of a function is intuitively the 'non-negligible' range of the function. One way of thinking of the essential range of a function is the set on which the range of the function is most 'concentrated'. The essential range can be defined for measurable real or complex-valued functions on a measure space.

Read more about Essential Range:  Terminology and Useful Facts, Formal Definition, Properties and Examples, Theorems, See Also

Famous quotes containing the words essential and/or range:

    Those of us who are in this world to educate—to care for—young children have a special calling: a calling that has very little to do with the collection of expensive possessions but has a lot to do with the worth inside of heads and hearts. In fact, that’s our domain: the heads and hearts of the next generation, the thoughts and feelings of the future.
    Fred M. Rogers, U.S. writer and host of Mr. Rogers Neighborhood. “That Which is Essential Is Invisible to the Eye,” Young Children (July 1994)

    Narrowed-down by her early editors and anthologists, reduced to quaintness or spinsterish oddity by many of her commentators, sentimentalized, fallen-in-love with like some gnomic Garbo, still unread in the breadth and depth of her full range of work, she was, and is, a wonder to me when I try to imagine myself into that mind.
    Adrienne Rich (b. 1929)