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)
“The first man, who after enclosing a piece of ground, took it into his head to say, this is mine, and found people simple enough to believe him, was the real founder of civil society.”
—Jean-Jacques Rousseau (1712–1778)
“The mind is a finer body, and resumes its functions of feeding, digesting, absorbing, excluding, and generating, in a new and ethereal element. Here, in the brain, is all the process of alimentation repeated, in the acquiring, comparing, digesting, and assimilating of experience. Here again is the mystery of generation repeated.”
—Ralph Waldo Emerson (1803–1882)