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

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Page 100

cannot be represented as

space. Yet, in some sense, a probability like pa (6;) = a*)|* is to be understood as

the

probability ...

cannot be represented as

**conditional probabilities**on a classical probabilityspace. Yet, in some sense, a probability like pa (6;) = a*)|* is to be understood as

the

**conditional probability**of 6, given a,. How do we make sense of thisprobability ...

Page 129

ingful to develop the generalized probability theory, defined in sect. 1, purely

lattice theoretically, ... Now we examine the definition of

an event (an element of &) given another event. In a classical probability space, ...

ingful to develop the generalized probability theory, defined in sect. 1, purely

lattice theoretically, ... Now we examine the definition of

**conditional probability**ofan event (an element of &) given another event. In a classical probability space, ...

Page 130

to the interpreted as a

formally denote the transformation of the state a analogue to the transformation tr

( -D) i-> tr ( D') as Q„x, where the element a of if plays the role of the element Q of

...

to the interpreted as a

**conditional probability**. Let a be an element of if, we shallformally denote the transformation of the state a analogue to the transformation tr

( -D) i-> tr ( D') as Q„x, where the element a of if plays the role of the element Q of

...

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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