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Until the mid twentieth century, the standard term for the expected utility was the moral expectation, contrasted with mathematical expectation for the expected value.
en.wikipedia.org
Both these concepts are mathematical expectations, but the expectation is defined with an integral for the continuous case, and a sum for the discrete case.
en.wikipedia.org
We have practically defined numerical utility as being that thing for which the calculus of mathematical expectations is legitimate.
en.wikipedia.org
The formula can be derived by calculating the mathematical expectation of the "amount of information" contained in a digit from the information source.
en.wikipedia.org
Therefore, the players maximize the mathematical expectation of the cost function.
en.wikipedia.org
This form is very useful in calculating mathematical expectations of some continuous probability distributions concerning normal distribution.
en.wikipedia.org

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