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

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Page 131

If if0 is a

denned as a bounded self-adjoint operator to be denoted by P(Q\^f0) whose

spectral resolution belongs to if„, satisfying tr(QRDaR) = tr (P(Q\Sf„)RDaR) for all

Re if0 ...

If if0 is a

**sublattice**of ^(^(Jf )), the improbability of Q e ^(39(3^)) in the state x isdenned as a bounded self-adjoint operator to be denoted by P(Q\^f0) whose

spectral resolution belongs to if„, satisfying tr(QRDaR) = tr (P(Q\Sf„)RDaR) for all

Re if0 ...

Page 270

... will generate a

distributive, i.e. a Boolean

Boolean

i.e. A~B.

... will generate a

**sublattice**L(A, B, C) Q £Q which is orthocomplemented anddistributive, i.e. a Boolean

**sublattice**LB(A, B, C) C £Q. Conversely, given aBoolean

**sublattice**LB c L , any two elements A, BQ LB will be commensurable,i.e. A~B.

Page 294

law holds. On the other hand, since from £,(4.2) the relation B<A^B follows, the

elements A, B e L, of an implicative lattice are always commensurable. Therefore

...

**sublattice**is implicative. Therefore, for all elements of L(A, B, C) the distributivelaw holds. On the other hand, since from £,(4.2) the relation B<A^B follows, the

elements A, B e L, of an implicative lattice are always commensurable. Therefore

...

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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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