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

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Page 42

Then we can prove that the

order relation in L ( P ) is set - theoretic inclusion , Ø and the whole P are the least

and greatest elements 0 , 1 of L ( P ) , meet and join are as follows : A B = An B ...

Then we can prove that the

**closed**subsets ( flats ) of P form a lattice L ( P ) . Theorder relation in L ( P ) is set - theoretic inclusion , Ø and the whole P are the least

and greatest elements 0 , 1 of L ( P ) , meet and join are as follows : A B = An B ...

Page 53

Moreover , the set P ' ( T , ) of all

coincide with { 2 : a e L } . Recalling the properties of the

Baer * - semi - groups , and noticing that the one - to - one correspondence

between ...

Moreover , the set P ' ( T , ) of all

**closed**projections of T , is found ( 14 , 28 ] tocoincide with { 2 : a e L } . Recalling the properties of the

**closed**projections ofBaer * - semi - groups , and noticing that the one - to - one correspondence

between ...

Page 60

In the Hilbert - space model of quantum mechanics P becomes the set of rays of a

separable Hilbert space H , ( • ) • ) becomes the scalar product ( modulus

squared ) , and both M ( P ) and N ( P ) become the lattice L ( H ) of all

the ...

In the Hilbert - space model of quantum mechanics P becomes the set of rays of a

separable Hilbert space H , ( • ) • ) becomes the scalar product ( modulus

squared ) , and both M ( P ) and N ( P ) become the lattice L ( H ) of all

**closed**( inthe ...

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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