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

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Page 388

... and B in Fa , then A n B is in Fa ; d) if A is in F and P%(A n^^O, then Pt(A) is

defined and

the first ordinal such that fip(X u Y) is

.

... and B in Fa , then A n B is in Fa ; d) if A is in F and P%(A n^^O, then Pt(A) is

defined and

**positive**for some /? < X ; c) if x < fi < A, fit(X) and fip(X)**positive**, and ftthe first ordinal such that fip(X u Y) is

**positive**, then ^(X n B)lfia(X) = ^(X n B)lpp(X).

Page 390

We note first that, if PA(E) and PB(E) are both

I claim a fortiori that P(XjE) equals both P(XnE|A) P(X n g/g) P(.E/^) an P(#/B) '

hence PA(X n E)jPA(E) = PB(X n E)jPB(E). For that reason it does not matter ...

We note first that, if PA(E) and PB(E) are both

**positive**, then E <Z A and E C B, soI claim a fortiori that P(XjE) equals both P(XnE|A) P(X n g/g) P(.E/^) an P(#/B) '

hence PA(X n E)jPA(E) = PB(X n E)jPB(E). For that reason it does not matter ...

Page 391

we see that P(if«/iC« u Kp) and P(KpjKa u Kp) are

that P(X/ffa) = P(X n Ka|Ka u Kp)|P(KaIKa u Z„) = ^(X n Ka)|fir(Ka), where y is the

first ordinal such that fiy(Ka u Kp) is

we see that P(if«/iC« u Kp) and P(KpjKa u Kp) are

**positive**. Finally by (7.6) se seethat P(X/ffa) = P(X n Ka|Ka u Kp)|P(KaIKa u Z„) = ^(X n Ka)|fir(Ka), where y is the

first ordinal such that fiy(Ka u Kp) is

**positive**; similarly for P(XjKp).### 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 | |

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