Integrability
Encyclopedia
Integrability may refer to:
  • Riemann integrability; see Riemann integral
    Riemann integral
    In the branch of mathematics known as real analysis, the Riemann integral, created by Bernhard Riemann, was the first rigorous definition of the integral of a function on an interval. The Riemann integral is unsuitable for many theoretical purposes...

  • Lebesgue integrability; see Lebesgue integral
  • Darboux integrability; see Darboux integral
    Darboux integral
    In real analysis, a branch of mathematics, the Darboux integral or Darboux sum is one possible definition of the integral of a function. Darboux integrals are equivalent to Riemann integrals, meaning that a function is Darboux-integrable if and only if it is Riemann-integrable, and the values of...

  • System integration
    System integration
    In engineering, system integration is the bringing together of the component subsystems into one system and ensuring that the subsystems function together as a system...

     (Information technology)
  • Interoperability
    Interoperability
    Interoperability is a property referring to the ability of diverse systems and organizations to work together . The term is often used in a technical systems engineering sense, or alternatively in a broad sense, taking into account social, political, and organizational factors that impact system to...

     (Information technology)
  • Integrable system
    Integrable system
    In mathematics and physics, there are various distinct notions that are referred to under the name of integrable systems.In the general theory of differential systems, there is Frobenius integrability, which refers to overdetermined systems. In the classical theory of Hamiltonian dynamical...

    (mathematics, physics)
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