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

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Page 348

We should, therefore, turn to the requirement of

brings any benefits. 2'2. Equivalents of

pointed out that

We should, therefore, turn to the requirement of

**countable**additivity and see if itbrings any benefits. 2'2. Equivalents of

**countable**additivity. - Kolmogoroff alreadypointed out that

**countable**additivity is, in effect, a continuity postulate.Page 363

and construct the sequence of spheres S(r -\- d(x„, x), xn) which decreases

uniformly to ,S'(r, x), its infimum. Thus the open sets around any point are

and construct the sequence of spheres S(r -\- d(x„, x), xn) which decreases

uniformly to ,S'(r, x), its infimum. Thus the open sets around any point are

**countable**intersections of open sets around members of A, which in turn are**countable**unions ...Page 364

Let M be a probability algebra which has no atoms, and has a

subset. Then M is isometrically isomorphic to This result has been extended to a

complete classification of probability algebras in work by Horn, Tarski and ...

Let M be a probability algebra which has no atoms, and has a

**countable**densesubset. Then M is isometrically isomorphic to This result has been extended to a

complete classification of probability algebras in work by Horn, Tarski and ...

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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