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 only phenomenon with which writing has always been concomitant is the creation of cities and empires, that is the integration of large numbers of individuals into a political system, and their grading into castes or classes.... It seems to have favored the exploitation of human beings rather than their enlightenment.
    Claude Lévi-Strauss (b. 1908)

    To whatsoever upright mind, to whatsoever beating heart I speak, to you it is committed to educate men. By simple living, by an illimitable soul, you inspire, you correct, you instruct, you raise, you embellish all. By your own act you teach the beholder how to do the practicable. According to the depth from which you draw your life, such is the depth not only of your strenuous effort, but of your manners and presence.
    Ralph Waldo Emerson (1803–1882)

    Nobody is so constituted as to be able to live everywhere and anywhere; and he who has great duties to perform, which lay claim to all his strength, has, in this respect, a very limited choice. The influence of climate upon the bodily functions ... extends so far, that a blunder in the choice of locality and climate is able not only to alienate a man from his actual duty, but also to withhold it from him altogether, so that he never even comes face to face with it.
    Friedrich Nietzsche (1844–1900)