Proceedings of the International School of Physics "Enrico Fermi.", Volume 72N. Zanichelli, 1979 - Nuclear physics |
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Page 363
... Borel subset of a complete separable metric space . Then the Borel field of all Borel subsets of X is isomorphic to B 。. As far as the Borel fields are concerned , therefore , we shall not expect too many surprises when the higher ...
... Borel subset of a complete separable metric space . Then the Borel field of all Borel subsets of X is isomorphic to B 。. As far as the Borel fields are concerned , therefore , we shall not expect too many surprises when the higher ...
Page 370
... Borel field BG F generated by G. We now stipulate first that , if that ideal experiment has outcome sequence σ , then relf ( A ,, σ ) is well defined for each A , in G and that Σrelf ( A ,, σ ) = 1 . By Polya's result it follows then ...
... Borel field BG F generated by G. We now stipulate first that , if that ideal experiment has outcome sequence σ , then relf ( A ,, σ ) is well defined for each A , in G and that Σrelf ( A ,, σ ) = 1 . By Polya's result it follows then ...
Page 373
... Borel field ; and the upright bar denotes restriction of the function P to the domain F ( X ) . - A probability measure may fail to be full on any set at all ; consider the case P ( X ) = 1 if and only if x = X ( « P is concentrated on ...
... Borel field ; and the upright bar denotes restriction of the function P to the domain F ( X ) . - A probability measure may fail to be full on any set at all ; consider the case P ( X ) = 1 if and only if x = X ( « P is concentrated on ...
Contents
The discovery of the law of radioactive decay | 6 |
Early models of the nucleus | 15 |
Final remarks | 21 |
Copyright | |
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3-geometry algebra assertion atoms axioms Boolean Borel field Borel sets calculus classical concept conditional probability conditionalization corresponding countable course defined definition denote derived deterministic dialog dialog-game disjoint dynamics eigenvalue eigenvectors EINSTEIN elementary elements equation equivalent exists finite formal function geometry given Gleason's theorem Hence Hilbert space induction initial interpretation Journ magnitude Math mathematical means NEUMANN observed orthogonal orthomodular lattice particle photon Phys physical quantity physical system physical theories physicists possible postulate precision probabilistic probability measure probability space probability theory problem procedure propositions quantity Q quantum logic quantum mechanics quantum-logical radioactive random variable real numbers relation relative frequency relf represents respect result rule sequence space-time special relativity spin statistical operator structure subset subspace superspace t₁ T₂ theorem tion transformation truth universal constants vector velocity von Neumann algebra