## Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |

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Page 90

Umegaki's theory exploits an idea first proposed by Moy [19], that the classical

notion of conditional expectation with

understood as a linear map on the algebra of random variables. The expectation

value ...

Umegaki's theory exploits an idea first proposed by Moy [19], that the classical

notion of conditional expectation with

**respect**to a Boolean algebra can beunderstood as a linear map on the algebra of random variables. The expectation

value ...

Page 91

Notice that the expectation value of a random variable A may be understood as

the conditional expectation of A with

{0, A'}. The conditional probability of an event a given the event e, is the value of ...

Notice that the expectation value of a random variable A may be understood as

the conditional expectation of A with

**respect**to the field generated by the partition{0, A'}. The conditional probability of an event a given the event e, is the value of ...

Page 94

Similarly, if a system 8 initially in the state y> interacts with a system M initially in

the state <p, yielding the correlated state y= 2(a,, y>)<x,®<p, via a unitary

transformation of the product state y>®q>, then conditional- izing Pv with

to the ...

Similarly, if a system 8 initially in the state y> interacts with a system M initially in

the state <p, yielding the correlated state y= 2(a,, y>)<x,®<p, via a unitary

transformation of the product state y>®q>, then conditional- izing Pv with

**respect**to the ...

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### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

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