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

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Page 128

... algebra of all random variables, they

expectation induces on them the measure fi. ... JS(jf)) ; this seems to be the case

also for every von Neumann algebra which contains no

...

... algebra of all random variables, they

**form**a Boolean algebra and theexpectation induces on them the measure fi. ... JS(jf)) ; this seems to be the case

also for every von Neumann algebra which contains no

**factor**of type 7t as direct...

Page 146

... to this last

differentiable function, is (16) |/(«,,-,«.)|<«i where e depends on the precisions, or

resolving powers, of the instruments used. When one states the physical law (16),

...

... to this last

**factor**, the correct**form**of the equation, when / is a continuous anddifferentiable function, is (16) |/(«,,-,«.)|<«i where e depends on the precisions, or

resolving powers, of the instruments used. When one states the physical law (16),

...

Page 441

... for example the ground state, in the

N is a normalization

oscillators; and with suitably normalized displacement co-ordinates we have for

the ...

... for example the ground state, in the

**form**(36) ip(x) = N exp [- mojx*l2h] , whereN is a normalization

**factor**. We proceed similarly with a collection of harmonicoscillators; and with suitably normalized displacement co-ordinates we have for

the ...

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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