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

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Page 74

which represents a mixture, not a pure state. In the ease of a magnitude C

represented by an

concludes that, after a measurement which localizes the value c of C to the set S,

the state vector ...

which represents a mixture, not a pure state. In the ease of a magnitude C

represented by an

**operator**with a continuous spectrum, von Neumannconcludes that, after a measurement which localizes the value c of C to the set S,

the state vector ...

Page 87

The measure function defined as a set function on this field is essentially the «

Stone representative » of the statistical

algebra of magnitudes incorporating the statistics. If we bear in mind the

possibility of ...

The measure function defined as a set function on this field is essentially the «

Stone representative » of the statistical

**operator**W, which is the element in thealgebra of magnitudes incorporating the statistics. If we bear in mind the

possibility of ...

Page 93

Umegaki shows [21] that the map A->Ar>TM- , where A\r is von Neumann's

with respect to the Boolean subalgebra 3i generated by the P,. (This may be

understood ...

Umegaki shows [21] that the map A->Ar>TM- , where A\r is von Neumann's

**operator**[22] P^4P + (1 — P)A(1 — P), defines the conditional expectation of Awith respect to the Boolean subalgebra 3i generated by the P,. (This may be

understood ...

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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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3-geometry algebra applied assertion atoms axioms Boolean Borel field Borel sets calculus concept conditional probability conditionalization consider corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics edited Einstein elements equation equivalent exists experiment finite formal function geometry given Gleason's theorem Hence Hilbert space implies induction initial interaction interpretation irreversible Journ linear magnitude Math mathematical means Neumann non-Boolean notion observable orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists positive precision probabilistic probability measure probability space probability theory problem procedure quantum logic quantum mechanics quantum theory quantum-logical question radioactive random variable real numbers relation relative frequency relf represented respect result rule sequence space-time special relativity spin statistical operator subset subspace superspace theorem tion transformation truth universal constants vector velocity von Neumann algebra zero