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by Ciro Santilli (@cirosantilli, 37)

Real world applications of the Lebesgue integral

 ... Mathematics Area of mathematics Calculus Integral Lebesgue integral Lebesgue integral vs Riemann integral
 0 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
In "practice" it is likely "useless", because the functions that it can integrate that Riemann can't are just too funky to appear in practice :-)
Its value is much more indirect and subtle, as in "it serves as a solid basis of quantum mechanics" due to the definition of Hilbert spaces.
Bibliography:
  • math.stackexchange.com/questions/53121/how-do-people-apply-the-lebesgue-integration-theory
  • www.quora.com/What-are-some-real-life-applications-of-Lebesgue-Integration

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