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

### From inside the book

Results 1-3 of 25

Page 56

Consider then a mapping <-|-> of into [0, 1] satisfying the following properties [6,

8]: i) <-|-> is separating, i.e. <a|/?> = 1 if and only if a = /3; ii) <-|-> is symmetric, i.e.

, for every a, (ie^, <a|/3> = </3|a>; iii) if we call a, /?

Consider then a mapping <-|-> of into [0, 1] satisfying the following properties [6,

8]: i) <-|-> is separating, i.e. <a|/?> = 1 if and only if a = /3; ii) <-|-> is symmetric, i.e.

, for every a, (ie^, <a|/3> = </3|a>; iii) if we call a, /?

**orthogonal**when <a|/?> = 0, ...Page 58

If B is a basis for the subspace A, then A'= B', i.e. A and B have the same

subset, so that <a|y> + 2 <al/^> < 1 for every a e J*; taking a e A we have ...

If B is a basis for the subspace A, then A'= B', i.e. A and B have the same

**orthogonal**complement [8]. Indeed, if y e B', then B u {y} is a pairwise**orthogonal**subset, so that <a|y> + 2 <al/^> < 1 for every a e J*; taking a e A we have ...

Page 374

(5.8) a decomposition of P, and P,, P8, ... the factors in that decomposition. If all

the measures P,, Pt, ... are mutually

decomposition. Suppose for instance that a draw is made from one of two urns, F,

and l\.

(5.8) a decomposition of P, and P,, P8, ... the factors in that decomposition. If all

the measures P,, Pt, ... are mutually

**orthogonal**, (5.8) is an**orthogonal**decomposition. Suppose for instance that a draw is made from one of two urns, F,

and l\.

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

E Amaldi Radioactivity a pragmatic pillar of probabilistic | 1 |

Statistical fluctuations | 10 |

Final remarks | 21 |

Copyright | |

24 other sections not shown

### Other editions - View all

### Common terms and phrases

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