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

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Page 388

XUY ) is

clause e ) is vacuously satisfied if all members of I have the same domain of

definition ; and also if there are disjoint sets Ką such that Px ( Kx ) = 1 for a < 2 .

Suppose ...

XUY ) is

**positive**, then ua ( In B ) / ua ( X ) = Mal X n B ) / up ( X ) . Note thatclause e ) is vacuously satisfied if all members of I have the same domain of

definition ; and also if there are disjoint sets Ką such that Px ( Kx ) = 1 for a < 2 .

Suppose ...

Page 390

We note first that , if PA ( E ) and P8 ( E ) are both

so I claim a fortiori that P ( X / E ) equals both P ( X EA ) P ( EA ) and P ( Xn E / B )

P ( E / B ) hence Pd ( Xn E ) / PA ( E ) = Pb ( X E ) / P8 ( E ) . For that reason it ...

We note first that , if PA ( E ) and P8 ( E ) are both

**positive**, then E CA and E CB ,so I claim a fortiori that P ( X / E ) equals both P ( X EA ) P ( EA ) and P ( Xn E / B )

P ( E / B ) hence Pd ( Xn E ) / PA ( E ) = Pb ( X E ) / P8 ( E ) . For that reason it ...

Page 391

we see that P ( Kx / Kau Kb ) and P ( K3 / KxU KB ) are

se see that P ( X / Ka ) = P ( Xn Ka / Kau Kp ) / P ( Ka / K , U Kp ) = My ( X Ka ) / dy

( Ka ) , where y is the first ordinal such that My ( Kau Kb ) is

we see that P ( Kx / Kau Kb ) and P ( K3 / KxU KB ) are

**positive**. Finally by ( 7 . 6 )se see that P ( X / Ka ) = P ( Xn Ka / Kau Kp ) / P ( Ka / K , U Kp ) = My ( X Ka ) / dy

( Ka ) , where y is the first ordinal such that My ( Kau Kb ) is

**positive**; similarly ...### What people are saying - Write a review

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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