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

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Page 363

We have thus found a countable family that generates all the Borel sets: (3.18) In

any complete separable metric space, the

generated (separable) . This result can be extended, in a corollary to a result due

...

We have thus found a countable family that generates all the Borel sets: (3.18) In

any complete separable metric space, the

**Borel field**of Borel sets is countablygenerated (separable) . This result can be extended, in a corollary to a result due

...

Page 370

To make this precise, let us call significant events in an ideal experiment with

partition {An} = Q Q F exactly the members of the

G. We now stipulate first that, if that ideal experiment has outcome sequence a,

then ...

To make this precise, let us call significant events in an ideal experiment with

partition {An} = Q Q F exactly the members of the

**Borel field**BG £ F generated byG. We now stipulate first that, if that ideal experiment has outcome sequence a,

then ...

Page 373

Here F(X) = { V n X\ Y in F}, itself a

restriction of the function P to the domain F(X). A probability measure may fail to

be full on any set at all; consider the case P(A') = 1 if and only if x e X (* P is ...

Here F(X) = { V n X\ Y in F}, itself a

**Borel field**; and the upright bar denotesrestriction of the function P to the domain F(X). A probability measure may fail to

be full on any set at all; consider the case P(A') = 1 if and only if x e X (* P is ...

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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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