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

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Page 35

At this stage, 6 is naturally endowed with the notion of disjoin tn ess : a, b e £ are

called

if a(a) + «(6)<1 for all xe6f. Leaving aside a discussion on motivations, we insert ...

At this stage, 6 is naturally endowed with the notion of disjoin tn ess : a, b e £ are

called

**disjoint**, and we write o ± 6, if and only if a < bx, or, equivalently, if and onlyif a(a) + «(6)<1 for all xe6f. Leaving aside a discussion on motivations, we insert ...

Page 38

Then it is natural to adopt a law analogous to (2.3), namely (2.3') There exists in :

Sf the join of

i.e. x(a\Jb) = <x(a) + <x(b) when a)(b. Also for the structure (&, j_) the

orthomodular ...

Then it is natural to adopt a law analogous to (2.3), namely (2.3') There exists in :

Sf the join of

**disjoint**elements, and every state is additive on**disjoint**elements,i.e. x(a\Jb) = <x(a) + <x(b) when a)(b. Also for the structure (&, j_) the

orthomodular ...

Page 127

real sets to JS, which has the following properties: i) x(Q) = 0, x(R) = Q; ii) if E, and

E„ are

a sequence of

real sets to JS, which has the following properties: i) x(Q) = 0, x(R) = Q; ii) if E, and

E„ are

**disjoint**sets, then x(El) and x(E„) are**disjoint**sets; iii) x( |J = |J x(E,) if J?, isa sequence of

**disjoint**sets. The probability measure on the real line fi(x(E)) (E ...### What people are saying - Write a review

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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