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Results for DC.creator="G." AND DC.creator="Bricogne" in section 16.2.3 of volume F |
Connection with the saddlepoint method
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.5, pp. 435-436 [ doi:10.1107/97809553602060000851 ]
... moduli in are large. It is shown in §5 of Bricogne (1984), and in more detail in Section 1.3.4.5.2.2 of Chapter 1.3 of IT B (Bricogne, 2008), that there is complete equivalence between the maximum-entropy ... is enhanced by the adoption of the saddlepoint approximation. References Bricogne, G. (1984). Maximum entropy and the foundations of ...
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 ...
The notion of recentring and the maximum-entropy criterion
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.3, p. 435 [ doi:10.1107/97809553602060000851 ]
The notion of recentring and the maximum-entropy criterion 16.2.3.3. The notion of recentring and the maximum-entropy criterion These limitations can be overcome by recognizing that, if the locus (a high-dimensional torus) defined by the large structure-factor amplitudes to be used in the conditioning data is too extended ...
Conventional direct methods and their limitations
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.2, p. 435 [ doi:10.1107/97809553602060000851 ]
... 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 reader ... the conditioning information. It was pointed out by the author (Bricogne, 1984) that this procedure can be problematic, as the Gram ... large' when forming conditional probability distributions involving large amplitudes. References Bricogne, G. (1984). Maximum entropy and the foundations of ...
The random-atom model
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.1, p. 435 [ doi:10.1107/97809553602060000851 ]
The random-atom model 16.2.3.1. The random-atom model The standard setting of probabilistic direct methods (Hauptman & Karle, 1953; Bertaut, 1955a,b; Klug, 1958) uses implicitly as its starting point a source of random atomic positions. This can be described in the terms introduced in Section 16.2.2.1 by using a continuous ...
Adaptation to crystallography
International Tables for Crystallography (2012). Vol. F, Section 16.2.3, pp. 435-436 [ doi:10.1107/97809553602060000851 ]
... 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 reader ... the conditioning information. It was pointed out by the author (Bricogne, 1984) that this procedure can be problematic, as the Gram ... . These derivations are given in §3.4 and §3.5 of Bricogne (1984). Extensive relations with the algebraic formalism of ...
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.5, pp. 435-436 [ doi:10.1107/97809553602060000851 ]
... moduli in are large. It is shown in §5 of Bricogne (1984), and in more detail in Section 1.3.4.5.2.2 of Chapter 1.3 of IT B (Bricogne, 2008), that there is complete equivalence between the maximum-entropy ... is enhanced by the adoption of the saddlepoint approximation. References Bricogne, G. (1984). Maximum entropy and the foundations of ...
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 ...
The notion of recentring and the maximum-entropy criterion
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.3, p. 435 [ doi:10.1107/97809553602060000851 ]
The notion of recentring and the maximum-entropy criterion 16.2.3.3. The notion of recentring and the maximum-entropy criterion These limitations can be overcome by recognizing that, if the locus (a high-dimensional torus) defined by the large structure-factor amplitudes to be used in the conditioning data is too extended ...
Conventional direct methods and their limitations
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.2, p. 435 [ doi:10.1107/97809553602060000851 ]
... 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 reader ... the conditioning information. It was pointed out by the author (Bricogne, 1984) that this procedure can be problematic, as the Gram ... large' when forming conditional probability distributions involving large amplitudes. References Bricogne, G. (1984). Maximum entropy and the foundations of ...
The random-atom model
International Tables for Crystallography (2012). Vol. F, Section 16.2.3.1, p. 435 [ doi:10.1107/97809553602060000851 ]
The random-atom model 16.2.3.1. The random-atom model The standard setting of probabilistic direct methods (Hauptman & Karle, 1953; Bertaut, 1955a,b; Klug, 1958) uses implicitly as its starting point a source of random atomic positions. This can be described in the terms introduced in Section 16.2.2.1 by using a continuous ...
Adaptation to crystallography
International Tables for Crystallography (2012). Vol. F, Section 16.2.3, pp. 435-436 [ doi:10.1107/97809553602060000851 ]
... 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 reader ... the conditioning information. It was pointed out by the author (Bricogne, 1984) that this procedure can be problematic, as the Gram ... . These derivations are given in §3.4 and §3.5 of Bricogne (1984). Extensive relations with the algebraic formalism of ...
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