Null Set

In mathematics, a null set is a set that is negligible in some sense. For different applications, the meaning of "negligible" varies. In measure theory, any set of measure 0 is called a null set (or simply a measure-zero set). More generally, whenever an ideal is taken as understood, then a null set is any element of that ideal.

The remainder of this article discusses the measure-theoretic notion.

Read more about Null Set:  Definition, Properties, Lebesgue Measure, Uses

Famous quotes containing the words null and/or set:

    A strong person makes the law and custom null before his own will.
    Ralph Waldo Emerson (1803–1882)

    One might get the impression that I recommend a new methodology which replaces induction by counterinduction and uses a multiplicity of theories, metaphysical views, fairy tales, instead of the customary pair theory/observation. This impression would certainly be mistaken. My intention is not to replace one set of general rules by another such set: my intention is rather to convince the reader that all methodologies, even the most obvious ones, have their limits.
    Paul Feyerabend (1924–1994)