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Fourier transforms in crystallography: theory, algorithms and applications
International Tables for Crystallography (2010). Vol. B, ch. 1.3, pp. 24-113 [ doi:10.1107/97809553602060000760 ]
... has only approximate units, i.e. sequences such that tends to g in the topology as . This is one of the ... Then the functionis called the tensor product of f and g, and belongs to . The finite linear combinations of functions ... can be shown that two locally integrable functions f and g define the same distribution, i.e.if and only if they ...
The maximum-entropy method
International Tables for Crystallography (2012). Vol. F, ch. 16.2, pp. 433-436 [ doi:10.1107/97809553602060000851 ]
... ideas to probabilistic direct methods was investigated by the author (Bricogne, 1984). It was shown that there is an intimate ... with in Section 1.3.4.5.2 in Chapter 1.3 of IT B (Bricogne, 2008). 16.2.2. The maximum-entropy principle in a general ... methods have been described in Section 1.3.4.5.2.2 of IT B (Bricogne, 2008) as examples of applications of Fourier transforms. The ...
The crystallographic maximum-entropy formalism
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.4, p. 435 [ doi:10.1107/97809553602060000851 ]
... . These derivations are given in §3.4 and §3.5 of Bricogne (1984). Extensive relations with the algebraic formalism of traditional ... space limitations preclude their discussion in the present chapter. References Bricogne, G. (1984). Maximum entropy and the foundations of direct ...
[more results from section 16.2.3 in volume F]
Jaynes' maximum-entropy formalism
International Tables for Crystallography (2012). Vol. F, Section 16.2.2.4, pp. 434-435 [ doi:10.1107/97809553602060000851 ]
Jaynes' maximum-entropy formalism 16.2.2.4. Jaynes' maximum-entropy formalism Jaynes (1957) solved the problem of explicitly determining such maximum-entropy distributions in the case of general linear constraints, using an analytical apparatus first exploited by Gibbs in statistical mechanics. The maximum-entropy distribution , under the prior prejudice m(s), satisfying the ...
[more results from section 16.2.2 in volume F]
Introduction
International Tables for Crystallography (2012). Vol. F, Section 16.2.1, p. 433 [ doi:10.1107/97809553602060000851 ]
... ideas to probabilistic direct methods was investigated by the author (Bricogne, 1984). It was shown that there is an intimate ... with in Section 1.3.4.5.2 in Chapter 1.3 of IT B (Bricogne, 2008). References Bricogne, G. (1984). Maximum entropy and the foundations of ...
International Tables for Crystallography (2010). Vol. B, ch. 1.3, pp. 24-113 [ doi:10.1107/97809553602060000760 ]
... has only approximate units, i.e. sequences such that tends to g in the topology as . This is one of the ... Then the functionis called the tensor product of f and g, and belongs to . The finite linear combinations of functions ... can be shown that two locally integrable functions f and g define the same distribution, i.e.if and only if they ...
The maximum-entropy method
International Tables for Crystallography (2012). Vol. F, ch. 16.2, pp. 433-436 [ doi:10.1107/97809553602060000851 ]
... ideas to probabilistic direct methods was investigated by the author (Bricogne, 1984). It was shown that there is an intimate ... with in Section 1.3.4.5.2 in Chapter 1.3 of IT B (Bricogne, 2008). 16.2.2. The maximum-entropy principle in a general ... methods have been described in Section 1.3.4.5.2.2 of IT B (Bricogne, 2008) as examples of applications of Fourier transforms. The ...
The crystallographic maximum-entropy formalism
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.4, p. 435 [ doi:10.1107/97809553602060000851 ]
... . These derivations are given in §3.4 and §3.5 of Bricogne (1984). Extensive relations with the algebraic formalism of traditional ... space limitations preclude their discussion in the present chapter. References Bricogne, G. (1984). Maximum entropy and the foundations of direct ...
[more results from section 16.2.3 in volume F]
Jaynes' maximum-entropy formalism
International Tables for Crystallography (2012). Vol. F, Section 16.2.2.4, pp. 434-435 [ doi:10.1107/97809553602060000851 ]
Jaynes' maximum-entropy formalism 16.2.2.4. Jaynes' maximum-entropy formalism Jaynes (1957) solved the problem of explicitly determining such maximum-entropy distributions in the case of general linear constraints, using an analytical apparatus first exploited by Gibbs in statistical mechanics. The maximum-entropy distribution , under the prior prejudice m(s), satisfying the ...
[more results from section 16.2.2 in volume F]
Introduction
International Tables for Crystallography (2012). Vol. F, Section 16.2.1, p. 433 [ doi:10.1107/97809553602060000851 ]
... ideas to probabilistic direct methods was investigated by the author (Bricogne, 1984). It was shown that there is an intimate ... with in Section 1.3.4.5.2 in Chapter 1.3 of IT B (Bricogne, 2008). References Bricogne, G. (1984). Maximum entropy and the foundations of ...
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