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

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Page 347

... ( A ) =

in F . It is easily shown that P will be a member of PF ( M ) if all the P , are , and ,

in this sense , PF ( M ) is topologically closed . However , if all the functions P ;

are ...

... ( A ) =

**limit**P ( A ) D and call P the**limit**of { P ; } exactly if P ( A ) = P ( A ) for all Ain F . It is easily shown that P will be a member of PF ( M ) if all the P , are , and ,

in this sense , PF ( M ) is topologically closed . However , if all the functions P ;

are ...

Page 354

Note that relf ( A , o ) is not guaranteed to exist ; it exists if and only if rel ( a , o , n )

tends to a

function relf ( - , 0 ) is given only in this way . We now turn to the question whether

...

Note that relf ( A , o ) is not guaranteed to exist ; it exists if and only if rel ( a , o , n )

tends to a

**limit**as n increases indefinitely . The domain of definition of the setfunction relf ( - , 0 ) is given only in this way . We now turn to the question whether

...

Page 379

5 ) relf ( A ) =

sorel ( a , n )

namely ba ( n ) = b ( n ) a ( n ) . What I would like to show now is that the natural ...

5 ) relf ( A ) =

**limit**rel ( a , n ) , n - 00 ( 6 . 6 ) bir rel ( ba , n ) relf ( B / A ) =**limit**tesorel ( a , n )

**limit**ba ( m ) + + a ( n ) where ba is the characteristic function of AB ,namely ba ( n ) = b ( n ) a ( n ) . What I would like to show now is that the natural ...

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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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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