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

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Page 373

There is also a

there is a measurable set I such that P ( X ) = 1 and P ' ( X ) = 0 , ( 5 . 5 ) PIP ' if

and only if there are disjoint measurable sets X and X ' ' such that P ( X ) = P ' ( X ...

There is also a

**natural**orthogonality relation on it : ( 5 . 4 ) PIP ' in P ( M ) exactly ifthere is a measurable set I such that P ( X ) = 1 and P ' ( X ) = 0 , ( 5 . 5 ) PIP ' if

and only if there are disjoint measurable sets X and X ' ' such that P ( X ) = P ' ( X ...

Page 378

F ( 0 ) is the family of sets A of

exactly is in the family F ( 0 ) is very mysterious . The map A → → { i : 0 ( i ) e A }

will relate ( o , F ) to ( w , F ( 0 ) ) in a

...

F ( 0 ) is the family of sets A of

**natural**numbers such that relf ( A , ( ) exists . Whatexactly is in the family F ( 0 ) is very mysterious . The map A → → { i : 0 ( i ) e A }

will relate ( o , F ) to ( w , F ( 0 ) ) in a

**natural**way , preserving relative frequencies...

Page 381

It serves the purpose of showing that the

contains all the conditional relative frequencies . 63 . A partial algebra of

questions . – I shall now continue the general discussion of relative frequencies ,

taking the ...

It serves the purpose of showing that the

**natural**frequency space alreadycontains all the conditional relative frequencies . 63 . A partial algebra of

questions . – I shall now continue the general discussion of relative frequencies ,

taking the ...

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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