Product Integral - Results

Results

The geometric integral (Type I above) plays a central role in the geometric calculus, which is a multiplicative calculus.

  • The Fundamental Theorem

where is the geometric derivative.

  • Product Rule
  • Quotient Rule
  • Law of Large Numbers
where X is a random variable with probability distribution pr(x)).
Compare with the standard Law of Large Numbers:

The above are for the Type I product integral. Other types produce other results.

Read more about this topic:  Product Integral

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