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

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Page 265

The abstract Hilbert space H is a set of

satisfy the following axioms [ 1 , 2 ] : i ) H is ... there exists an

and for every

...

The abstract Hilbert space H is a set of

**elements**called vectors f , g , . . . , whichsatisfy the following axioms [ 1 , 2 ] : i ) H is ... there exists an

**element**( f + g ) E Hand for every

**element**TEH and every complex number 2 there exists an**element**...

Page 270

From this closure property together with the above - mentioned theorem it follows

that three

generate a sublattice L ( A , B , C ) CL , which is orthocomplemented and

distributive ...

From this closure property together with the above - mentioned theorem it follows

that three

**elements**A , B , C e Lo , which are pairwise commensurable , willgenerate a sublattice L ( A , B , C ) CL , which is orthocomplemented and

distributive ...

Page 294

sublattice is implicative . Therefore , for all

distributive law holds . On the other hand , since from L , ( 4 . 2 ) the relation B < A

→B follows , the

commensurable .

sublattice is implicative . Therefore , for all

**elements**of L ( A , B , C ) thedistributive law holds . On the other hand , since from L , ( 4 . 2 ) the relation B < A

→B follows , the

**elements**A , BEL , of an implicative lattice are alwayscommensurable .

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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