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:

    As liberty of thought is absolute, so is liberty of speech, which is “inseparable” from the liberty of thought. Liberty of speech, moreover, is essential not only for its own sake but for the sake of truth, which requires absolute liberty for the utterance of unpopular and even demonstrably false opinions.
    Gertrude Himmelfarb (b. 1922)

    A girl must allow others to share the responsibility for care, thus enabling others to care for her. She must learn how to care in ways appropriate to her age, her desires, and her needs; she then acts with authenticity. She must be allowed the freedom not to care; she then has access to a wide range of feelings and is able to care more fully.
    Jeanne Elium (20th century)