Simple Function - Integration of Simple Functions

Integration of Simple Functions

If a measure μ is defined on the space (X,Σ), the integral of f with respect to μ is

if all summands are finite.

Read more about this topic:  Simple Function

Famous quotes containing the words integration of, integration, simple and/or functions:

    The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.
    Herbert Spencer (1820–1903)

    The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.
    Herbert Spencer (1820–1903)

    A Bartas can do what a Bartas will
    But simple I according to my skill.
    Anne Bradstreet (c. 1612–1672)

    In today’s world parents find themselves at the mercy of a society which imposes pressures and priorities that allow neither time nor place for meaningful activities and relations between children and adults, which downgrade the role of parents and the functions of parenthood, and which prevent the parent from doing things he wants to do as a guide, friend, and companion to his children.
    Urie Bronfenbrenner (b. 1917)