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

### From inside the book

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Page 348

We should , therefore , turn to the requirement of

brings any benefits . 22 . Equivalents of

already pointed out that

We should , therefore , turn to the requirement of

**countable**additivity and see if itbrings any benefits . 22 . Equivalents of

**countable**additivity . - KOLMOGOROFFalready pointed out that

**countable**additivity is , in effect , a continuity postulate .Page 363

Thus the open sets around any point are

around members of A , which in turn are

members of A with rational radius . We have thus found a

Thus the open sets around any point are

**countable**intersections of open setsaround members of A , which in turn are

**countable**unions of spheres aroundmembers of A with rational radius . We have thus found a

**countable**family that ...Page 364

Let M be a probability algebra which has no atoms , and has a

subset . Then M is isometrically isomorphic to ( B . / u , u ) . This result has been

extended to a complete classification of probability algebras in work by HORN ...

Let M be a probability algebra which has no atoms , and has a

**countable**densesubset . Then M is isometrically isomorphic to ( B . / u , u ) . This result has been

extended to a complete classification of probability algebras in work by HORN ...

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### Contents

Gradual infiltration of probabilitys laws into physical sciences | 1 |

Statistical fluctuations | 10 |

Introduction | 21 |

Copyright | |

24 other sections not shown

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### Common terms and phrases

according additive appear applied approach argument assume atoms Borel called classical closed complete concept consider constant corresponding countable course defined definition derived described determined dialog discussion distribution dynamics edited effect elementary elements energy equal equation equivalent example exists experiment expressed fact field final finite formal frequency function geometry give given Hence implies initial interpretation lattice limit logical mass material mathematical means measurement motion natural observable obtain operator particle particular Phys physical positive possible precision present principle probability problem proof propositions proved quantity quantum mechanics question reason refer relation relative represented requirement respect result rules satisfies sense sequence space space-time special relativity statistical structure theorem theory transformation turn unit Universe vector