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for .
is by far the most important of because it is quantum mechanics states live, because the total probability of being in any state has to be 1!
has some crucially important properties that other don't (TODO confirm and make those more precise):


  1. Lp space
  2. Lebesgue integral of is complete but Riemann isn't
  3. Lebesgue integral
  4. Integral
  5. Calculus
  6. Area of mathematics
  7. Mathematics
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